Answer:
50
Step-by-step explanation:
\(8^{\frac{1}{3} }\) divided by \(5^{-2}\) = 50
∠A=angle, A, equals
^\circ
∘
degrees
Round your answer to the nearest hundredth.
\
Answer:
What are you asking?
Step-by-step explanation:
∠A=angle, A, equals ^\circ ∘ degrees Round your answer to the nearest hundredth. \
!50 POINTS! (4 SIMPLE GEOMETRY QUESTIONS)
QUESTIONS BELOW:
|
|
\/
Step-by-step explanation:
Image 1:
Blank 1: (0,5)
Blank 2: (5,0)
Blank 3: (0,-5)
Blank 4: (-5,0)
Image 2:
C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.
Image 3:
B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.
Image 4:
B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.
What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3
Answer:
6,000 units3
Step-by-step explanation:
got it rt
Help me with this hurry up pls .
Answer:
3.5
Step-by-step explanation:
AO^2-AB^2=r^2
10.6^2-100=12.36
sqr(12.36) = 3.5
I need 23 and 24. The directions for them are solve for x. And assume that lines which appear to be diameters are actual diameters.
Explanation
Question 23
To get the value of x, let us get y as shown below
\(\begin{gathered} y+100=180^0(linear\text{ pairs}) \\ y=180-100=80^0 \end{gathered}\)Next, we will make use of the fact tha y and (x+85 ) are vertical angles so that
\(\begin{gathered} y=x+85\text{ \lparen linear pairs\rparen} \\ where\text{ y=80} \\ 80=x+85 \\ x=80-85=-5 \\ x=-5 \end{gathered}\)For question 23, x = -5
For question 24
The total angle in a circle is 360 degrees so that
\(-38x+4+65+42+95+40=360\)solving for x
\(\begin{gathered} -38x+246=360 \\ -38x=360-246 \\ -38x=114 \\ x=\frac{114}{-38} \\ x=-3 \end{gathered}\)For question 24, x =-3
the angle from a lookout at the top of a lighthouse (a) boat located at point c is 30 angle the boat travels towards the lighthouse and after 1 minute has travelled a distance of 50 meter and is now located at point b. the angle of elevation from the boat at b up to the lighthouse lookout is 60 angle. find the height of the lighthouse and find the speed of the boat in meters per second from c to b
The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.
what is angle?An angle is a shape created by two rays or lines that meet at the same terminal. The Latin word "angulus" (which means "corner") is where the term "angle" first appeared. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign "" is used to denote angles. The Greek letter,,, etc. can be used to represent the angle between the two beams.
what is speed?The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
After solving the figure:
The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.
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The speed of the boat from point C to point B is approximately 10.82 meters per second.
What is speed ?
Speed is a measure of how fast an object is moving. It is the rate at which an object covers distance.
We can use trigonometry to solve for h and the speed of the boat. Let's start with h:
From the right triangle CLB, we have:
tan 30° = h / CB
where CB is the distance between points C and B, which is given as 50 meters. Solving for h, we get:
h = CB * tan 30° = 50 * tan 30° ≈ 28.87 meters
So the height of the lighthouse is approximately 28.87 meters.
Now let's find the speed of the boat. We know that the boat travels from point C to point B in 1 minute, which is equivalent to 60 seconds. Let's define the speed of the boat as v, in meters per second. Then we have:
v = CB / t
where t is the time it takes for the boat to travel from point C to point B. We can find t using the distance formula:
\(CB = \sqrt{(x_B - x_C)^2 + (y_B - y_C)^2\)
where x and y are the coordinates of each point. From the diagram, we can see that:
\(x_C = 0\)
\(y_C = 0\)
\(x_B = BL * cos \theta\)
\(y_B = BL * sin \theta\)
where BL is the distance from point B to the foot of the lighthouse, which is equal to h / tan θ. Therefore:
CB \(= \sqrt{((BL * cos \theta)^2 + (BL * sin \theta)^2)\)
\(= \sqrt{(BL^2 * (cos^2 \theta + sin^2 \theta))\)
\(= BL = h / tan \theta\)
Substituting the values we have found, we get:
v = CB / t = (h / tan θ) / 60 ≈ 10.82 meters per second
Therefore, the speed of the boat from point C to point B is approximately 10.82 meters per second.
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Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.
What is the response variable in this experiment?
a. the age of each golfer
b. the 200 volunteers
c. the length of shots played by the golfers
d. whether the golfers wear or do not wear the bracelet
Answer:
I believe it is (C), the length of the golfers.
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and theyre trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
Which is why I believe, the length of the shots is the response variable.
ED2021
Goodluck :)
it is (C), the length of the golfers.
What is response variable?A response variable is a type of dependent variable. It is the one that changes the results. Furthermore, a response variable is the expected effect, and it responds to explanatory variables.
Here, we have,
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and they are trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
This is why, the length of the shots is the response variable.
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Absolute Value Functions Quiz Active 163 4.617030 Which statement is true about f(x) = -6|x + 5) - 2? The graph of f(x) is a horizontal compression of the graph of the parent function. The graph of f(x) is a horizontal stretch of the graph of the parent function. The graph of f(x) opens upward. The graph of f(x) opens to the right.
Answer:
61
Step-by-step explanation:
lena bought a saltwater fish tank that holds 400 gallons of water. she started filling the tank on friday, but then stopped after putting only 70 gallons of water in the tank. on saturday, she bought a bigger hose and began filling the tank again. it took her 1 hour and 50 minutes on saturday to completely fill the tank. which equation represents the number of gallons of water in the fish tank on saturday, given the amount of time in minutes that lena spent filling the tank?
The m and b into slope-intercept form results in the equation y = 3x + 70
You need the y-intercept and the rate of change in order to write the equation of a line (slope). You can create your equation by substituting these values into the slope-intercept form of a line (y = mx + b).
You already know b because there are initially 70 gallons of water in the tank on Saturday. You must write two data points using the information provided in the question in order to determine m.
The number of gallons is the dependent variable, and time is the independent variable because the amount of water in the tank is dependent on how long Lena has been filling it. This indicates that the information should be presented in the form (time, gallons).
On Saturday at time = 0, there are 70 gallons, hence the data point is (0, 70). The tank is full (400 gallons) after 1 hour and 50 minutes, which is 60 + 50 = 110 minutes, so another data point is (110, 400). Using the slope formula, determine the rate of change as follows:
(400-70)/(110-0)
= 330/110
=3 gallons per minute. Substituting m and b into slope-intercept form results in the equation y = 3x + 70
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when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same
Answer:
normal force decreases
Step-by-step explanation:
N=mgcosθ, and cosine decreases as theta increases
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Answer:
A) decreases
Step-by-step explanation:
As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.
help asap please !! math
Answer:
11x40=51xStep-by-step explanation:
you just add it
What is 5 x 10 - 2 + 7 x 2?
\(62\)
Step By Step Explanations:1) Simplify 5 × 10 = 50.
\(50 - 2 + 7 \times 2\)
2) Simplify 7 × 2 = 14.
\(50 - 2 + 14\)
3) Simplify 50 - 2 to 48.
\(48 + 14\)
4) Simplify.
\(62\)
Therefor, the answer is 62.
4. The base of a solid is the region in the first quadrant
2
bounded by the graph y = 2x
the solid, each cross section perpendicular to the x-axis is
x and the x-axis. For
a square. What is the volume of the solid?
a.
b.
C.
8
15
2
3
16
15
d. /
-0.5
05
15
The volume of the solid is given by the definite integral function and the relation is V = 16/15 units³
Given data ,
The base of a solid is the region in the first quadrant bounded by the graph of y = 2x - x² and the x-axis
Now , the area of cross section is A = a²
A = ( 2x - x² )²
And , the volume of the solid is V
where V is the integral of the function of cross section
On simplifying , we get
V = ∫₀²( 2x - x² )² dx
On further simplification , we get
V = ∫₀² ( 4x² - 4x³ + x⁴ )
Now , taking the integral , we get
V = [ 4x³/3 ]₀² - [ x⁴ ] ₀² + ( 1/5 ) [ x⁵ ]₀²
On solving the limits of the definite integral , we get
V = 16/15 units³
Hence , the volume of solid is V = 16/15 units³
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what is the slope of the line
Answer:
1.5 OR 3/2
Step-by-step explanation:
Slope (m) = ΔY/ΔX= 3/2=1.5
θ = arctan(ΔY/Δx)= 56.30993247402°
ΔX = 3 – 1 = 2
ΔY = 0 – -3 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
Equation of the line:
y = 1.5x – 4.5
or
y=3/2x-9/2
Thus, 3/2
Answer:
m = 1.5Step-by-step explanation:
Use the coordinates of two points on the graph:
(1, -3), (3, 0)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5Which values from the given replacement set make up the solution set of the inequality?
2b−4≥3 ; {2,3,4,5}
A. {2,3}
B. {3,4,5}
C. {4,5}
D. {2,3,4}
Answer:
We can solve the inequality by adding 4 to both sides:
2b - 4 + 4 ≥ 3 + 4
2b ≥ 7
b ≥ 7/2
The values in the replacement set that are greater than or equal to 7/2 are {3, 4, 5}. Therefore, the solution set is:
{3, 4, 5}
So the answer is B. {3, 4, 5}.
what is the word used to describe a vector that always points toward the center of a circular path?
"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."
The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.
The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.
Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.
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Perry spent $22. 50 on material to make necklaces. He used all of the material and made 15 necklaces. How much should Perry charge for each necklace if he wants to make a profit of $60? $1. 50 $4. 00 $5. 50 $7. 0.
Answer:
$5.50
Step-by-step explanation:
22.5/15= 1.5
each necklace costs $1.50
$5.5 x 15(necklaces)=$82.5
82.5-22.5(cost of making all the necklaces)=$60
A dairy produces 420,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A 105,000 gal B) 1,680,000 gal С 1,050,000 gal D 10,500 gal Question 10 2 Points
Answer:
150000
Step-by-step explanation:
i use cal
The length of a rectangle is represented by 4x+6. The width is half the length. What expression represents the perimeter of the rectangle?
Answer: P = 12x + 18
Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.
2L = 2(4x +6)2W = 4x +6 (if the width is equal to half the length, twice the width is equal to the length).P = 2L + 2WP = 2(4x + 6) + 4x + 6 (substitute for L and W)P = 8x + 12 + 4x + 6 (distribute)P = 12x + 18 (combine like terms)What is the solution to this system of equations?
Y=3x+12
Y=-2x+2
A. (3,-1)
B. (-2,6)
C. (6,-2)
D. (-1,3)
Answer:
B
Step-by-step explanation:
3×-2+12=6 and -2×-2+2=6. You could also do it in a calculator it you want to found out if it true. But the Answer will be B
Hope this Help
I need help with this please
Angle 1 and 2 are supplementary angles.
This is ur answer....
Supplementary angle.....
what is (-3-6i)(5-6i) simplify (show all in steps)
The simplified form of the expression (-3-6i)(5-6i) is -51 - 12i
What is the simplified form of the given expression?Given the expression in the question?
(-3-6i)(5-6i)
Expand the expression using FOIL method.
Apply distributive property
(-3-6i)(5-6i)
-3(5-6i) -6i(5-6i)
-15 + 18i - 30i + 36i²
Collect and add like terms
-15 + 18i - 30i + 36i²
Write i² as -1
-15 + 18i - 30i + 36( -1 )
-15 + 18i - 30i - 36
-15 - 36 + 18i - 30i
Add -15 and -36
-51 + 18i - 30i
Add 18i and -30i
-51 - 12i
Therefore, the solution to the expression is -51 - 12i.
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(1) Find the volume in the first octant bounded by y^2=4−x and y=2z
(2) Find the volume bounded by z=x^2+y^2and z=4
the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).
(1) To find the volume in the first octant bounded by the surfaces \(y^2 = 4 - x\) and y = 2z, we can set up a triple integral in cylindrical coordinates.
First, we need to determine the bounds for our variables. Since we are working in the first octant, we know that 0 <= z, 0 <= theta <= pi/2, and 0 <= r.
Next, we need to find the equation for the upper and lower bounds of z in terms of r and theta. We can start with the equation \(y^2 = 4 - x\) and substitute y = 2z to get:
\((2z)^2 = 4 - x\)
\(4z^2 = 4 - x\)
\(x = 4 - 4z^2\)
We can then use this equation along with the equation z = y/2 to get the bounds for z:
\(0 < = z < = (4 - x)^(1/2)/2 = (4 - 4z^2)^(1/2)/2\)
Squaring both sides, we get:
\(0 < = z^2 < = (1 - z^2)/2\)
\(0 < = 2z^2 < = 1 - z^2\)
\(z^2 < = 1/3\)
So the bounds for z are:
\(0 < = z < = (1/3)^(1/2)\)
Finally, we can set up the triple integral in cylindrical coordinates:
V = ∫∫∫ r dz dtheta dr
with bounds:
0 <= r
0 <= theta <= pi/2
\(0 < = z < = (1/3)^(1/2)\)
and integrand:
r
So the volume in the first octant bounded by y^2=4−x and y=2z is:
V = ∫∫∫ r dz dtheta dr
= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 ∫ from 0 to r r dz dtheta dr\)
= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 r^2/2 dtheta dr\)
= ∫ from 0 to\((1/3)^(1/2) r^2 pi/4 dr\)
\(= pi/12 (1/3)^(3/2)\)
= pi/36 sqrt(3)
Therefore, the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).
(2) To find the volume bounded by z = x^2 + y^2 and z = 4, we can use a triple integral in cylindrical coordinates.
First, we need to determine the bounds for our variables. Since we are working in the region where z is bounded by \(z = x^2 + y^2\) and z = 4, we know that 0 <= z <= 4.
Next, we can rewrite the equation \(z = x^2 + y^2\) in cylindrical coordinates as \(z = r^2.\)
So the bounds for r and theta are:
0 <= r <= 2
0 <= theta <= 2pi
And the bounds for z are:
\(r^2 < = z < = 4\)
Finally, we can set up the triple integral in cylindrical coordinates:
V = ∫∫∫ r dz dtheta dr
with bounds:
0 <= r <= 2
0 <= theta <= 2pi
\(r^2 < = z < = 4\)
and integrand: 1
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Which transformation was used to create triangle G H I from triangle D E F ?
Answer: Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G to point G′ and from point H to point H′, which statement would best describe the line segments drawn? They are parallel and congruent. Triangle ABC has been translated to create triangle A′B′C′.
Step-by-step explanation:
Hope this helps!
18 3/8f = -29 4/7 please help
Answer:
f=-552 /343 or 5=1 and 209/343
Step-by-step explanation:
a ski lift carried maria up a slope at the rate of 6 km/hr, and she skied back down parallel to the lift at 34 km/hr. the round trip took 30 minutes. how far did she ski and for how long?
Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.
To find out how far Maria skied and for how long, we'll use the given information and apply the distance-rate-time formula. The formula is Distance = Rate × Time.
First, let's convert the given 30 minutes into hours since the rates are in km/hr.
30 minutes = 30/60 = 0.5 hours.
Let x be the distance Maria skied up and down, and let t1 and t2 be the time taken to go up and down, respectively.
For the ski lift(going up):
Distance = Rate × Time
x = 6 × t1
For skiing down:
Distance = Rate × Time
x = 34 × t2
Since the round trip took 0.5 hours, we have:
t1 + t2 = 0.5
Now we have a system of equations:
x = 6 × t1
x = 34 × t2
t1 + t2 = 0.5
From the first equation, we can express t1 as:
t1 = x/6
From the second equation, we can express t2 as:
t2 = x/34
Now substitute these expressions into the third equation:
(x/6) + (x/34) = 0.5
To solve for x, find a common denominator (in this case, 102) and combine the fractions:
(17x + 3x) / 102 = 0.5
20x = 51
x = 51/20
x = 2.55 km
Now, we can find t1 and t2:
t1 = x/6 = 2.55/6 = 0.425 hours
t2 = x/34 = 2.55/34 = 0.075 hours
So, Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.
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Find the value of x, given that the two triangles are similar.
Answer:
10.5 is the correct answer.
Step-by-step explanation:
Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.
3.5 x 3=10.5
2 x 3=6
3.5/2=10.5/6, so the answer is 10.5.
Answer:
x = 10.5 cmStep-by-step explanation:
Find the value of x, given that the two triangles are similar.
Given that the two triangles are similar we can solve with a proportion
6 : 2 = x : 3.5
x = 6 * 3.5 : 2
x = 21 : 2
x = 10.5
Is 2 a prime number or composite??
Yes, 2 is a prime number. The number 2 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 2 has exactly two factors, i.e. 1 and 2, it is a prime number.
Answer: 2 is a prime number
Step-by-step explanation: This is because the only numbers it can be multiplied by is 1 and 2. If a number can only be multiplied by 1 and itself, It will always be prime. 2 is the only even prime number.
Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.
The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.
Given parallelogram A B C D below, DE = 31 If EB = x - 7.
By the definition, then the equation is given as,
EB = DE
x - 7 = 31
Simplify the equation, then we have
x - 7 = 31
x = 31 + 7
x = 38
The value of the variable 'x' is 38.
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What is Equivalent?
Is it possible for two things to look different but be equal
to one another? Think about $10... is a $10 bill the only
way you can have $10? Give an example of money that
is equivalent to a $10 bill.
Answer:
Equivalent is when two things contain the same total value. For example, you could give two 5 dollar bills instead of one 10 dollar bill and they would be equivalent as they would both total to be 10 dollars.
Step-by-step explanation:
$10 = 2 * x
$10/2 = $5
x = $5