The figure appears to be three angles measuring 104°, x° and (x + 10)° that are Supplementary. This means that the sum of the three angles is equal to 180°.
Using this relationship, let's determine the value of x.
\(\text{ 104}^{\circ}+x^{\circ}+(x^{}+10)^{\circ}=180^{\circ}\)\(\text{ 104}^{\circ}+x^{\circ}+x^{\circ}+10^{\circ}=180^{\circ}\)\(\text{ 2x + 114}^{\circ}=180^{\circ}\)\(\text{ 2x }=180^{\circ}-114^{\circ}\)\(\text{ 2x }=66^{\circ}\)\(\text{ }\frac{\text{2x }}{2}=\frac{66^{\circ}}{2}\)\(\text{ x = 33}^{\circ}\)Therefore, the value of x is 33°.
its 2.2 km from charlie's house to the nearest mailbox. how far is it in meters
Answer:
2200
Step-by-step explanation:
Kilo means 1000, so kilometers are 1000 meters, therefore 2.2 kilometers = 2200 meters.
Answer: 2,200
Step-by-step explanation:
Multiply 2.2 with 1,000 because the km to meters conversion is 1,000.
500.00
-319.45 = m
Solve for m
Answer:
STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:
-319.45 + 319.45 = m + 319.45
This simplifies to:
0 = m + 319.45
Finally, we can subtract 319.45 from both sides to solve for m:
0 - 319.45 = m + 319.45 - 319.45
-319.45 = m
Therefore, the value of m is -319.45.tep-by-step explanation:
To the nearest millimeter, a cell phone is 86 mm long and 44 mm wide. What is the ratio of the width to the length?
Answer:
1
Step-by-step explanation:
44 ÷ 86
Simplify 44/86
22/43
Find the closest integer to 22/43
Answer:
44 mm : 86 mm
Step-by-step explanation:
A cell phone is 86 mm long and 44 mm wide
Long = length
Wide = width
Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
where θ is measured in degrees. The area of triangle ABC is 15cm^2
(a) Find the two possible values of cos θ
Given that BC is the longest side of the triangle,
(b) find the exact length of BC.
Answer:
To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8
To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205
PLSS ANSWER QUICKLY ASAP
Answer:
the answer is A
hope it helps u
mark brainlist
Answer: D
As x Values-Decrease, the function increases toward positive infinity.
As the x values decreases, the function decreases towards y=-2
Step-by-step explanation:
It's a basic function that follows within the 2^x format. Where x-> infinity would mean that y-> infinity as well. However, since there was a translation within the y unit (hence the -2) the asymptote decreased by two.
So as the x unit increases, so does the y.
However, as the x unit decreases, the y decreases to -2.
Can anyone help me with this problem. College Calculus 1
Step 1:
When by either
f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
In general, a vertical stretch is given by the equation
y=bf(x). If b>1, the graph stretches with respect to the y-axis, or vertically. If b<1, the graph shrinks with respect to the y-axis. In general, a horizontal stretch is given by the equation y=f(cx) If c>1, the graph shrinks with respect to the x-axis, or horizontally. If c<1, the graph stretches with respect to the x-axis.
Step 2:
The function is vertically stretched by a factor of 2.
\(\begin{gathered} Parent\text{ function} \\ y\text{ = }\sqrt[]{4x-x^2} \\ \text{When a function is stretched by a factor of 2} \\ \text{The new function becomes } \\ y\text{ = 2}\sqrt[]{4x-x^2} \end{gathered}\)Step 3:
A horizontal translation is generally given by the equation
y=f(x−a). These translations shift the whole function side to side on the x-axis.
Hence, the function is translated 6 units to the right
\(y\text{ = 2}\sqrt[]{4(x-6)-(x-6)^2}\)Final answer
\(\begin{gathered} \text{The function is} \\ \text{y = 2}\sqrt[]{4(x-6)-(x-6)^2} \end{gathered}\)Help me please i cant even
Answer:
See answer below
Step-by-step explanation:
a. 2 x 32, 4 x 16 and 8 x 8
b. you pick which one is more appealing
Solve the exponential equation 31^d = 38
Find the value of x in each case:
QUICKLY PLEASE
Answer:
for 2nd figure answer is 18
Step-by-step explanation:
4x+6x=180°(Being co-interior angle)
or,10x=180°
or,x=180°/10
or,x=18
Answer:
image 1 ---- x = 11
image 2 ---- x = 22.5
Step-by-step explanation:
Image 1finding the value at EFB
180 - 147 = 33 degrees
since DEBC is a "Z" angle means that the value at DEB and EBC is the same value of 4x.
therefore :
FEB = 180 - 4x
therefore to find x
NB : total value of triangle is 180 degrees
180 = 33 + (180-4x) +x
180 = 33 + 180 -4x + x
180 = 213 -3x
make x the subject of formula
180-213 = -3x
-33 = -3x
x = -33/-3
x = 11
Image 2DEA = BAE
therefore BAE = 2x
DEB = 180 - 4x
ABE = 180 - 6x
NB : total value of triangle is 180 degrees
180 = 2x + (180- 4x) + (180 - 6x)
180 = 2x + 180 - 4x +180 - 6x
180 = -8x + 360
-180 = -8x
x = 22.5
Please help ASAP questions and answer selection in screenshot
The domain of the function consists of all real numbers greater than 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Next, we would determine the function which models the amount of gas as follows:
Function, f(x) = rate × x
Function, f(x) = 2.25 × x
Function, f(x) = 2.25x
Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:
Domain = [0, ∞]
In conclusion, the domain is equal to all real numbers that are greater than zero (0).
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help please will mark brainliest only if correct
Answer:
33 units³
Step-by-step explanation:
Volume of a rectangular prism
\(\sf Volume = Area\:of\:base \times height\)
From inspection of the given diagram:
Area of base = 9 units²Height = 3 ²/₃ unitsSubstitute the given values into the formula and solve for volume:
\(\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}\)
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\(\boxed{\sf Volume=Area\:of\:base\times Height}\)
\(\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}\)
\(\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}\)
\(\\ \tt\dashrightarrow Volume=3(11)\)
\(\\ \tt\dashrightarrow Volume=33units³\)
4.2 The Court lines are 50 mm wide. Court paint covers 7 m² per litre of paint. 4.2.1 Calculate the total length of the centre circle and the two goal semi circles to be repainted. You may use the formula: Total length Circumference of a centre circle + 2 x Circumference of a semicircle =
The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
How to calculate the Calculate the total length of the centre circle and the two goal semi circles to be repaintedGiven:
Court lines are 50 mm wide.
Court paint covers 7 m² per litre of paint.
The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr
Radius of the entire circle = 9 m / 2 = 4.5 m
Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m
Circumference of the centre circle = 2π(4.45 m) = 27.94 m
Next, let's calculate the circumference of the semicircles:
The semicircles are half circles, so the circumference is given by the formula: Circumference = πr
The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.
Circumference of a semicircle = π(4.5 m) = 14.14 m
Total length = Circumference of the centre circle + 2 x Circumference of a semicircle
Total length = 27.94 m + 2(14.14 m)
Total length = 56.22 m
Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
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Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 888 grandchildren.
Answer:
Answer:
96/8 - c
Step-by-step explanation:
96/8 = 12
The average amount of cookies each grandchild would get is 12. However, Cindy gets c less than the average amount. So, it would be 12 - c.
But, it's asking for the original expression. Therefore, the answer would be 96/8 - c.
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Is three and five a factor pair of 15
Yes because 3*5 = 15
Factors multiply to get the product.
Helpppp quiiiiickkkkkk
Answer:
D. 363 Let me know if you have any questions.
Step-by-step explanation:
treat it as two figures. both look to be all made of rectangles, or in other words it is a rectangular prism. To find the volume of a rectangular prism just multiply the height, length and width together.
So let's label them small shape and big shape.
Big shape looks to have side lengths of 3 in, 12 in and 8 in, so multiply these together to get the volume. so 3*12*8 = 288 square inches.
Small shape will multiply 3*5*5 = 75. So the main shape is just the two pushed together, so you add the two. 288+75=363
Graph the line y = kx + 1 given that point M belongs to the line.
M(1, 3)
Please help 25 points
The graph of the line y=kx+1 given that the point M(1,3) belongs to the line is shown below .
In the question ,
it is given that
the line y=kx+1 has point (1,3) on it ,
which means that the point (1,3) will satisfy the equation y=kx+1 .
So, substituting x=1 and y=3 , we get
3=k*1+1
3-1=k
k=2
Hence , the equation of the line becomes y=2x+1 .
On comparing the equation with point slope form of the the line, y=mx+c ,
we get , the slope of the line = 2 and y intercept of the line = 1 .
the graph of the line y=2x+1 is shown below .
Therefore , the graph of the line y=kx+1 given that point M(1,3) belongs to the line is shown below .
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Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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Which angle number represents an angle adjacent to NSM?
Answer: Answer:
1) LSM.
2)complementary angles
3)*linear pair
Step-by-step explanation:
1) Vertical angles are formed on opposite side at the intersection of two lines .In the given figure the angle vertical to OSN is LSM and hence they are vertical pair.
2) The pair of angles LSM and SMN are neither adjacent angles nor linear pair or vertical angles .Hence we can call them complementary angles.Complementary angles are one which add to 90 degrees.
3) The angle pair are NSM and MSL lie on a straight line and hence are called linear pair.
Find an equation for the line below.
Answer:
y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line
m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then
y = \(\frac{4}{5}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 6 ) , then
6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)
y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line
Using the graph determine the coordinates of the zeros of the parabola
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
Simplify the expression
Answer:
\(-\frac{4}{7} -\frac{8}{7} i\sqrt{5}\)
Step-by-step explanation:
To rationalize the denominator, we would have to multiply by the complex conjugate of 6 + 2i√5 which is 6 - 2i√5:
\(\frac{8-8i\sqrt{5} }{6+2i\sqrt{5} } *\frac{6-2i\sqrt{5} }{6-2i\sqrt{5} }\)
The denominator resembles the difference of squares:
6^2 - (2i√5)^2
36 + 20
56
Next we would need to multiply the numerator, but before, notice we can factor out 8 from 8 - 8i√5:
\(\frac{8(1-i\sqrt{5})(6-2i\sqrt{5}) }{56}\)
We can cancel that 8 with that 56 in the denominator:
\(\frac{6-2i\sqrt{5}-6i\sqrt{5}-10}{7}\)
This simplifies to:
\(\frac{-4-8i\sqrt{5} }{7}\)
which is the same as:
\(-\frac{4}{7} -\frac{8}{7} i\sqrt{5}\)
Please answer please. And give step by step explanation
help me first
then I'll help you
the questions is in my page
Use geometry to evaluate
Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!
For each of the following, list the sample space and tell whether you think the events are equally likely: b) A family has 3 children; record each child's sex in order of birth c) Toss four coins; record the number of tails d) Toss a coin 10 times; record the length of the longest run of heads
Solution for b: The events "all boys," "all girls," "2 boys and 1 girl," and "2 girls and 1 boy" are equally likely because each has probability 1/8. Solution for c: The events "0 tails," "1 tail," "2 tails," "3 tails," and "4 tails" are equally likely because each has probability 1/16. Solution for d: the events are not equally likely.
b) For a family having 3 children, the sample space is {BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}, where B represents a boy and G represents a girl. Each outcome in the sample space has probability 1/8. The events "all boys," "all girls," "2 boys and 1 girl," and "2 girls and 1 boy" are equally likely because each has probability 1/8.
c) For tossing four coins, the sample space is {TTTT, TTTH, TTTT, TTHH, TTHH, THHH, THHT, THHH, HHHH, HHTH, HHTT, HHHT, HHTH, HTHH, HTTH, HTTT}, where T represents tails and H represents heads. Each outcome in the sample space has probability 1/16. The events "0 tails," "1 tail," "2 tails," "3 tails," and "4 tails" are equally likely because each has probability 1/16.
d) For tossing a coin 10 times, the sample space is all possible sequences of 10 H's and T's. There are 2^10 = 1024 outcomes in the sample space, each with probability 1/1024. The events "longest run of heads is 1," "longest run of heads is 2," "longest run of heads is 3," "longest run of heads is 4," "longest run of heads is 5," and "longest run of heads is 6 or more" are not equally likely, because the probability of getting a long run of heads is much lower than the probability of getting a short run of heads. For example, the probability of getting a run of 6 heads in a row is (1/2)^6 = 1/64, while the probability of getting a run of 1 head is 1/2. Therefore, the events are not equally likely.
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You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?
Answer:
$47.70
Step-by-step explanation:
45 increase 6% =
45 × (1 + 6%) = 45 × (1 + 0.06) = 47.7
What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3
Answer:
33/100
Step-by-step explanation:
E = 99/3
p = E/S = 33/100
Which two estimates is the quotient 345÷8 between
Need help I need to do this right now!
Answer: Okay, well first lets find the quotient 345 ÷ 8:
It is 43. 125, but we're going to simplify it to 43
Now this is the really easy part, so lets find a number greater than 43, which would be 44.
Now that we have that, we need to find a decimal that's lower than 43, which would be 42.
So our numbers would be 44 and 42.
Step-by-step explanation:
What is the simplified answer?
Answer:1 and 1/2
Step-by-step explanation:
Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?
Answer:
I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.
To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:
25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22
The sum of the values is:
25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813
Dividing by the number of values (30), we get:
Mean = 813/30 = 27.1
To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.
To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:
20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34
There are 30 values, so the median is the 15th value, which is 28.
To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:
Range = 34 - 20 = 14
To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:
20-24, 25-29, 30-34
The frequency table would look like this:
Interval | Frequency
20-24 | 4
25-29 | 18
30-34 | 8
To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:
Proportion = Frequency/Total frequency = 18/30 = 0.6
Angle = Proportion * 360° = 0.6 * 360° = 216°
We can repeat this calculation for each interval to obtain the angles for the pie chart.
In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.