can the sides of a triangle have lengths 6, 6 , 15
Answers
Answer:
I don't think it can, because the two smaller sides cannot have a sum of less than the third side. 6+6=12, and 12 is less than 15, so it cannot be possible. You can even test this out on a piece of paper and you will see that it is not possible.
Answer:yes
Step-by-step explanation:
because 6,6 can be /\ and 15 is __ so it would be /_\....it would be a triangle
Related Questions
Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs. If he plays a total of 1272 games in his career, approximately how many home runs will he hit?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.
Answers
a. The the proportion that would be used is: 159/15 = 1272/x
b. See explanation for the cross product below.
c. Approximately 120 home runs will be hit.
What is a Proportion?A proportion can be defined as an equation that involves comparing two equal ratios that are equivalent to each other or set equal to each other.
a. To write a proportion that defines the situation described above, let x represent the number of runs he will hit in his career.
Therefore, we would have the following proportion:
159:15 = 1272:x
or
159/15 = 1272/x
b. Using the cross product, we can find the value of x as shown below:
159 × x = 1272 × 15
159x = 19,080
Divide both sides by 159
159x//159 = 19,080/159
x = 120
c. The number of runs he will hit in his career is: 120.
Learn more about proportion on:
https://brainly.com/question/19994681
#SPJ1
Name all chords that are drawn in Circle C
Answers
The name of all the chords that are drawn in Circle C are; SU, UV and TW.
How to Identify Circle Chords?The chord of a circle is a term that is defined as the line segment joining any two points on the circumference of the circle.
Looking at the image and comparing with the definition of chords above, we can say that the chords will be SU, UV and TW. This is because they join two points on the circumference of the given circle with center C
We further see that the segment CV is only the radius of the circle.
Read more about Circle Chords at; https://brainly.com/question/17023621
#SPJ1
Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
Answers
Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
Step-by-step explanation:
Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.
Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.
Answer: A
Step-by-step explanation:
i need help solving this problem
Answers
Answer:
Step-by-step explanation:
-32 y^18 x^-15
A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas at 5:00 PM. Is the amount of gas used proportional to the distance the car drove? Why or why not?
Answers
Answer:
Yes,
Step-by-step explanation:
You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.
Molly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?
Answers
Answer:
It will take Molly 1 hour to catch up to Jonas.
Step-by-step explanation:
Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:
Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes
Molly = 12 miles for 60 minutes
Jonas = 3 miles + 9 = 12
Molly = 12
Therefore, it will take Molly 1 hour to catch up to Jonas.
Find the area of the surface generated when the given curve revolved about the xx-axis.y=8√xy=8x on [9,20][9,20]
Answers
As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Here,
The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:
A = 2π ∫ y dx
where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.
In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:
A = 2π ∫_9^20 8√x dx
This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:
A = 2π ∫_3^4 8u * 2u du
= 2π * 8 * ∫_3^4 u^2 du
= 2π * 8 * [u^3/3]_3^4
= 2π * 8 * (64/3 - 27/3)
= 2π * 8 * (37/3)
= 864π
So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.
To know more about area,
https://brainly.com/question/22469440
#SPJ4
What postulate proves triangle congruence?
*
25 points
Captionless Image
AAS
SAS
SSS
ASA
Answers
The postulate that proves that the triangles are congruent is: SAS congruence postulate.
How to Apply the Side-angle-side Congruence Postulate (SAS)?The SAS congruence postulate states that when two triangles have a pair of included congruent angles, and two pairs of corresponding sides that are congruent, then both triangles are congruent.
In the triangles given, we have:
Two pairs of corresponding sides that are congruent - BL ≅ PF and BG ≅ PX
A pair of included congruent angles - <B ≅ <P.
This means both triangles are congruent by SAS.
Therefore, the postulate that proves that the triangles are congruent is: SAS congruence postulate.
Learn more about the SAS congruence postulate on:
https://brainly.com/question/19262620
#SPJ1
Which multiplication expreion i equivalent to 0. 56 0. 56 0. 56 0. 56?
3 × 0. 56
4 × 0. 56
5 × 0. 56
6 × 0. 56
Answers
Answer:
3x0.56 is the correct answer.
need help with this
Answers
Answer:
Slope-int form: y = 3x+5
Standard form: y - 3x = 5.
Step-by-step explanation:
(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)
Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.
But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:
y=3x+5.
To convert it to standard form, subtract 3x from both sides:
y - 3x = 5.
I hope this helped you.
can someone please help me with my math, im wasting alot of points and im getting either no answers, links, or ppl just wanting points. please help, ill give etrax points, but only if you help with ALL of them
Answers
Answer:
Sure what are the questions?
Step-by-step explanation:
Trusted helper Ace Carlos
Answer:
you didnt put any questions.
Step-by-step explanation:
Solve the equation. |k+ 7| = 3
(-4, 10)
{all real numbers greater than or equal to -10 and less than or equal to -4}
{-4,4)
{-10, -4}
Answers
Answer:
-10 or -4
Step-by-step explanation:
the absolute value of -10 + 7 is 3
the absolute value of -4 + 7 is 3
absolute value just removes the negative sign of what is inside of it.
Let W be a subspace of Rn. Prove that, for any u inRn, Pw u = u if and only if u is in W.
How do I prove the above problem?
Answers
This is because the projection of a vector onto the Subspace it already belongs to is the vector itself. Therefore, Pw u = u.
To prove the statement, "for any u in Rn, Pw u = u if and only if u is in W," we need to demonstrate both directions of the "if and only if" statement.
Direction 1: If Pw u = u, then u is in W.
Assume that Pw u = u. We want to show that u is in W.
Recall that Pw u represents the projection of u onto the subspace W. If Pw u = u, it means that the projection of u onto W is equal to u itself.
By definition, if the projection of u onto W is equal to u, it implies that u is already in W. This is because the projection of u onto W gives the closest vector in W to u, and if the closest vector is u itself, then u must already be in W. Therefore, u is in W.
Direction 2: If u is in W, then Pw u = u.
Assume that u is in W. We want to show that Pw u = u.
Since u is in W, the projection of u onto W will be equal to u itself. This is because the projection of a vector onto the subspace it already belongs to is the vector itself. Therefore, Pw u = u.
By proving both directions, we have shown that "for any u in Rn, Pw u = u if and only if u is in W."
To know more about Subspace .
https://brainly.com/question/31498307
#SPJ11
We have proved both directions of the statement, and we can conclude that, for any u in Rn, Pw u = u if and only if u is in W.
To prove that, for any u in Rn, Pw u = u if and only if u is in W, we need to prove both directions of the statement.
First, let's assume that Pw u = u. We need to prove that u is in W. By definition, the projection of u onto W is the closest vector in W to u. If Pw u = u, then u is the closest vector in W to itself, which means that u is in W.
Second, let's assume that u is in W. We need to prove that Pw u = u. By definition, the projection of u onto W is the closest vector in W to u. Since u is already in W, it is the closest vector to itself, which means that Pw u = u.
Know more about closest vector here:
https://brainly.com/question/29975914
#SPJ11
Calculate the perimeter of the parallelogram. Round to the nearest tenth, if necessary. Enter the perimeter, in units, using numbers only (decimal point is ok, if needed).
Answers
Answer:
28 units
Step-by-step explanation:
Firstly, we can see that the vertical sides are 9 units each.
To get the diagonal sides, we can turn the ends into right triangles, which we can then use with the Pythagorean Theorum.
To make the top side into a triangle, we would draw a horizontal line connecting points (-1, 3) and (3, 3). This creates a right angle which is essential when using the Pythagorean Theorum.
A^2 + B^2 = C^2
We can plug in values for the Pythagorean Theorum because we can see that going across horizontally from point (-1, 3) to (3, 3), there are 4 units in between the two points. This will be our A value. We will do the same but vertically from points (3, 6) to (3, 3). The 3 units between the two points will be our B value. Now, we can plug in our values into the Pythagorean Theorum to find side C, the hypotenuse.
4^2 + 3^2 = C^2
16 + 9 = C^2
25 = C^2
√25 = C
C = 5
Now that we know the diagonal value of the side, we also know the same diagonal value of the bottom side. When you add all four sides together,
9 + 5 + 9 + 5 = 28
you get 28, which is the perimeter of the parallelogram.
The partial sum 1 + 10 + 19 +.... 199 equals :___________
Answers
The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series. Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.
To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.
The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.
In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.
By solving this equation, we find that n = 23, and the last term l = 199.
Substituting the values into the formula for the partial sum, we have:
S₂₃ = (23/2)(1 + 199),
= 23 * 200,
= 4600.
However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.
The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.
Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.
Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.
Learn more about partial sum here:
https://brainly.com/question/30339361
#SPJ11
Find the volume of the solid whose base is the region bounded between the curve y=x^3 and the y-axis from y=0 to y=1 and whose cross section taken perpendicular to the y-axis are squares
Answers
The volume of the solid whose base is the region bounded between the curve y=x^3 and the y-axis from y=0 to y=1 and whose cross section taken perpendicular to the y-axis are squares is 2.4 cubic units.
for given question,
We need to find the volume of the solid whose base is the region bounded between the curve y = x³ and the y-axis from y = 0 to y = 1 and whose cross section taken perpendicular to the y-axis are squares.
Now we rewrite given curve y = x³ in terms of x.
\(x=\sqrt[3]{y}\)
Since the length of the side of each cross sectional square is \(2\sqrt[3]{y}\), the cross sectional area A(y) can be given by
A(y) = \((2\sqrt[3]{y})^2\)
A(y) = \(4y^{\frac{2}{3} }\)
The region is bounded from y = 0 to y = 1
so, the volume V can be found by,
\(V=\int\limits^1_04y^{\frac{2}{3} }~dy\\\\V=4\int\limits^1_0 y^{\frac{2}{3} }~dy\\\\V=4\times \frac{3}{5} \\\\V=\frac{12}{5}\\\\V=2.4\)
Therefore, the volume of the solid whose base is the region bounded between the curve y=x^3 and the y-axis from y=0 to y=1 and whose cross section taken perpendicular to the y-axis are squares is 2.4 cubic units.
Learn more about the volume here:
https://brainly.com/question/12649605
#SPJ4
Hillary paid $8 for 12 donuts. What is the approximate unit cost of each donut
Answers
Answer:
$0.67
Step-by-step explanation:
Divide 8(dollars) by 12 (donuts) and you get 0.66666666666666666666666666666667
But, round it and you get .67
PLEASE HELP IM STUCK
Answers
Answer:
X=25.2
Also
<AFB=7x-18
<RST=72-2x
Step-by-step explanation:
<AFB, and <RST are supplementary then you add them together to equal 180
<AFB=7x-18
<RST=72-2x
Time to make the equation
<AFB+<RST=180 which is known as angle addition postulate
So then you plug the equation in with substitution property of equality
7x-18+72-2x=180
So next is to Combine like terms
5x+54=180
Then the rest is an algebraic equation
Subtract 54 from both sides
5x=126
So then Division prop =
X=25.2
Cycle time of a loader is 45 seconds for a loader with bucket capacity of 50t. The loader as to fill a truck of 200t capacity. The distance between the face to dumping location is 6 km and the truck travels at the speed of 20km/h when loaded and 36 km/hr when empty. If dumping time is 1.0 minute and trucks are available 95%, calculate the followings:
a) the fleet size required to match loaders production; and
b) the production per hour.
Answers
a) The fleet size required to match the loader's production is approximately 0.602, which means you would need at least 1 loader and 1 truck.
b) The production per hour would be approximately 2.407 truck loads.
To calculate the fleet size required to match the loader's production and the production per hour, we need to consider the cycle time, bucket capacity, truck capacity, dumping time, distance, and truck speeds.
First, let's calculate the number of loader cycles required to fill the truck:
Truck capacity = 200 t
Bucket capacity = 50 t
Number of loader cycles = Truck capacity / Bucket capacity
= 200 t / 50 t
= 4 cycles
Next, let's calculate the total time required for each loader cycle:
Cycle time = 45 seconds
Dumping time = 1.0 minute = 60 seconds
Total cycle time = Cycle time + Dumping time
= 45 seconds + 60 seconds
= 105 seconds
Now, let's calculate the time taken by the truck for a round trip:
Distance = 6 km
Loaded speed = 20 km/h
Empty speed = 36 km/h
Time for loaded trip = Distance / Loaded speed
= 6 km / 20 km/h
= 0.3 hours
= 18 minutes
= 18 * 60 seconds
= 1080 seconds
Time for empty trip = Distance / Empty speed
= 6 km / 36 km/h
= 0.1667 hours
= 10 minutes
= 10 * 60 seconds
= 600 seconds
Total truck time for a round trip = Time for loaded trip + Time for empty trip
= 1080 seconds + 600 seconds
= 1680 seconds
Now, let's calculate the production time per truck for each round trip:
Production time per truck = Total truck time for a round trip - Total cycle time
= 1680 seconds - 105 seconds
= 1575 seconds
Next, let's calculate the effective working time considering the availability of trucks:
Trucks availability = 95% = 0.95
Effective working time = Production time per truck * Trucks availability
= 1575 seconds * 0.95
= 1496.25 seconds
Finally, let's calculate the fleet size required to match the loader's production and the production per hour:
Production per hour = 3600 seconds / Effective working time
= 3600 seconds / 1496.25 seconds
≈ 2.407
Fleet size required = Production per hour / Number of loader cycles
= 2.407 / 4
≈ 0.602
Learn more about Cycle time:
https://brainly.com/question/31318910
#SPJ11
BRAINLIEST WILL BE GIVEN: (25 pts) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?
Answers
Answer:
1222
Step-by-step explanation:
find the surface area of the rectangular prism: l=5 km w= 3km h=8km
Answers
Answer:
158km²
Step-by-step explanation:
2· (3·5 + 8·5 + 8·3)
=
158
Solve the equation.
2x+3-2x = -+²x+5
42
If necessary:
Combine Terms
Apply properties:
Add
Multiply
Subtract
Divide
Answers
The solution to the equation is -1.5 or -3/2.
How to solve equations?We have the equation:
x² + 3-2x= 1+ x² +5
Combine Terms and subtract x² from both sides:
x² - x² + 3 -2x = 1 + 5 + x² - x²
3 -2x = 1 + 5
Add:
3 -2x = 6
Combine Terms and subtract 3 from both sides:
-2x + 3 -3 = 6 - 3
-2x = 3
Dividing by -2 we get:
x = 3/(-2)
x = -3/2
x = -1.5
Learn more about equations on:
brainly.com/question/19297665
#SPJ1
Two lines, A and B, are graphed (Look at the picture):
Determine the solution and the reasoning that justifies the solution to the systems of equations.
a.(−4, 6), because both the equations are true for this point
b.(2, 8), because the graph of the two equations intersects at this point
c.(2, 8), because neither of the two equations is true for this coordinate point
d.(−4, 6), because the graph of the two equations intersects the axis at these points
Answers
Answer:
B. (2,8), because both equations intersect at this point
Answer:
B. (2,8), because both equations intersect at this point
Step-by-step explanation:
Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.
A child rolls a ball on a level floor 3.5m to another child. If the ball makes 15.0 revolutions, what is its diameter?
Answers
The diameter of the ball is approximately 16.67 meters.
To find the diameter of the ball, we can use the relationship between the distance traveled and the number of revolutions.
The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter.
Given that the ball rolls a distance of 3.5 meters and makes 15.0 revolutions, we can calculate the circumference of the path it travels:
C = 3.5 m * 15.0 = 52.5 m
Since each revolution covers the circumference of the ball, we have C = πd. Plugging in the known value for C, we can solve for the diameter (d):
52.5 m = πd
Dividing both sides of the equation by π, we get:
d = 52.5 m / π
Using a calculator, we can evaluate this expression:
d ≈ 16.67 meters
Learn more about circles and circumferences here:
https://brainly.com/question/17130827
#SPJ11
The simpledt form of the decimal is 0.84 as a fraction is?
Answers
For the equation y = 2x + 4, find the value of y when x = 2.
Answers
Answer:8
Step-by-step explanation:because let's put in x first before anything so thats 2 times 2 thats 4 then you can do 4+4 to equal 8
so the answer is 8=y
hope this helps :}
Please tell me if I got this one right or not
Answers
Answer:no
the answer is c
Step-by-step explanation:
Answer:
sorry, it's one down
Step-by-step explanation:
y-intercept=1
rate of change=-2
GOOD LUCK!!
What is an equation of the line that passes through the point (8,2) and is parallel to the line x+4y=28
Answers
Answer:
y = -1/4x + 4
Step-by-step explanation:
x+4y=28
4y = -x + 28
y = -1/4x + 7
slope m = -1/4
Parallel lines have similar slope so we'll use -1/4 from above and given point (8,2) to find y-intercept.
y = mx +b
2 = -1/4(8) + b
2 = -2 + b
b = 4
Using m and b from above we can now form the new equation of line that is parallel to y = -1/4x + 7.
y = mx + b
y = -1/4x + 4
Solution for 1/3p+8=11
Answers
Answer:
p = 9
Step-by-step explanation:
Which two changes to a batch culture lead to end of exponential phase and the start of stationary phase
Answers
In batch cultures, which two changes lead to the end of exponential phase and the start of stationary phase are nutrients depletion and accumulation of toxic waste products.
Nutrient depletion and the accumulation of toxic waste products are the two modifications that signal the end of the exponential phase and the beginning of the stationary phase of microbial growth in a batch culture.The exponential growth phase is characterized by the fact that the number of organisms is rapidly increasing. When nutrients become scarce or depleted, the exponential growth rate slows and the stationary phase begins.
The stationary phase, on the other hand, is characterized by the fact that the growth rate is nil or close to nil, and the number of organisms remains constant over time.The microbial population begins to consume the available nutrients during the exponential phase, which results in an increase in microbial biomass. As a result of nutrient consumption, the environment becomes deprived of the raw materials required for growth. In addition, the cells will produce waste products that can accumulate in the culture medium, limiting growth.
To know more about exponential phase visit:
https://brainly.com/question/32573205
#SPJ11