This square based pyramid
30 cm
is cut horizontally at a height of 15 cm
to leave this frustum
R
15 cm
10 cm
1 xarea of base x perpendicular height
Vol = x
10 cm
Calculate the volume of the frustum.

a) since all the angles on the triangle are next to a given angle we just subtract the given angle from 180 to find the unknown angle

180-150=30=x

180-80=100=y

180-130=50=z

Sum of All triangles angles is always 180 degrees but we can still check

30+100+50

130+50=180

Now for the B triangle every angle is across from it like this means the triangle angle is equal to that

a= 40 degrees

b= 95 degrees

c= 45 degrees

And this also equal 180 degrees

Hopes this helps please mark brainliest

Answer:

1st Question Answer:

X=30

y=100

z=50

2nd Question Answer:

a=40

b=95

C=45

Step-by-step explanation:

1st Question : Since the angles of a straight line add up to 180 , we can subtract the degree of the angle given by 180 which gives us the answer . also we can make certain the angle is right because angles of a traingle add up to 180

2nd Question: Since the angles in the second question are parallel (which means they are the same) . we can easily find the answer . we can make sure the answer is right by using the same way ( angles of a triangle add up to 180)

Utilizing multiplication to find relationships and predicting that value of one  "Linear regression" is a quantity derived from the value of another.

The relationship in between magnitude of one parameter and that of a second is modeled by simple linear regression.

Thus, finding correlations via multiplication and assuming that the value of one "Linear regression" is a number obtained as from value of another

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The likelihood that at least 150 people will collaborate and react in a fresh sample of 400 telephone numbers is 0.9953.

The probability informs us of the likelihood that an event will occur. It is necessary for the likelihood to fall between 0 and 1. The likelihood of success is 1, whereas the probability of failure is 0.

Given, that the market research  company has a history of having a 44% response rate for its telephone surveys.

Therefore, p=44%=0.44=μ

n=400

p=150/400

p=0.375

The standard deviation is then equal to,

σ=√(p(1-p))/n

σ=√(0.44(1-0.44))/400

σ=√(0.44×0.56)/400

σ=0.025

Using the z-table, the values are as follows:

z=(p-μ)/σ

z=(0.375-0.44)/0.025

z=-2.6

p(p>0.375)

=p(z>-2.6)

=1-p(z<-2.6)

=1-0.0047

=0.9953

=99.53%

Therefore, the likelihood that at least 150 people will participate and provide information in a new sample of 400 telephone numbers

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The car use 6.67 liters of petrol to travel 160 miles of distance.

Given, the car use the same amount of petrol for each mile it travels.

A car use 55 liters of petrol to travel 495 miles.

we have to find the petrol used to travel 160 miles.

As, 55 liters = 495 miles

495 miles = 55 liters

1 mile = 55/495 liters

Now, 160 miles = 55/495×160 liters

160 miles = 6.67 liters

So, the car use 6.67 liters of petrol to travel 160 miles of distance.

Hence, the car use 6.67 liters of petrol to travel 160 miles of distance.

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Answer:

Step-by-step explanation:

I think this is the answer you were looking for but im not 100% sure

The first four terms of the sequence would be -

9, 12, 15, 18

Number sequence is a progression or an ordered list of numbers governed by a pattern or rule. For example -

3, 6, 9, 12, 15

x, x + 2, x + 4, x + 6

We have the following sequence -

f(n) = 3n + 6

We can write the first four terms as -

f(1) = 3 x 1 + 6 = 9

f(2) = 3 x 2 + 6 = 12

f(3) = 3 x 3 + 6 = 15

f(4) = 3 x 4 + 6 = 18

Therefore, the first four terms of the sequence would be -

9, 12, 15, 18

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Answer:

  8/15

Step-by-step explanation:

You want the fraction of a rain gauge filled after 15 more minutes when the rain rate is 2/5 of the gauge in 3/4 of an hour.

15 minutes is 1/4 hour, so 15 more minutes brings the total time to 1 hour. The fraction (x) of the gauge that is filled will be ...

  x/1 = (2/5)/(3/4)

  x = (2/5)(4/3) = 8/15

After a total of 1 hour, the rain gauge will be 8/15 of the way full.

Answer:

-11.8

Step-by-step explanation:

68x0.8

11x3.8

11x3.8=41.8

68x0.8=54.4

54.4-41.8=12.6

Now minus add a minus to it and you get -12.6 FT

Answer: x=3

Step-by-step explanation:

log₂(x+5)-log₂(x-2)=3

Domain:

x+5>0    ⇔    x>-5

x-2>0     ⇔    x>2

Hence, x>2 or x∈(2,∞)

              Solution:

[tex]\displaystyle\\log_2\frac{x+5}{x-2} =3log_22\\\\log_2\frac{x+5}{x-2} =log_22^3\\\\log_2\frac{x+5}{x-2} =log_28\\\\Hence,\\\\\frac{x+5}{x-2}=8[/tex]

Multiply both parts of the equation by (x-2):

[tex]x+5=8(x-2)\\\\x+5=8x-16\\\\x+5-x=8x-16-x\\\\5=7x-16\\\\5+16=7x-16+16\\\\21=7x[/tex]

Divide both parts of the equation by 7:

[tex]3=x\\\\Thus,\ x=3[/tex]

Answer:

x=6

Explanation:

16-(x+5)=15

The area of the triangle below is 224 inches squared.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The area of a triangle  an be described as follows:

area of a triangle = 1 / 2 bh

where

Therefore, the area of the triangle can be found as follows:

b = 4t = 4(4) = 16 inches

h = 7(t) = 7(4) = 28 inches

Therefore,

are of the triangle = 1 / 2 × 16 × 28

are of the triangle = 8 × 28

Therefore,

are of the triangle = 224 inches²

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Answer:

224 inches squared.

Step-by-step explanation:

have great day

The required diameter of the circle is given as 15 in. Option B is correct.

Given that,
The circumference of a circle is given 47.1 in, we have to determine the diameter of the circle.

Perimeter is the measure of the figure on its circumference.

Here,
As per the given condition,
First, write the formula for the circumference of the circle,
Circumference of the circle = πD
now substitute the value in the above equation,
47.1 = 3.14 D
D = 47.1/3.14
D = 15 in

Thus,  the required diameter of the circle is given as 15 in. Option B is correct.

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The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.

Cost for 250 copies is $40.5

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a printing company charges $0.15 per copy in addition to a service fee of $3,

Therefore, according to question, the total cost y for printing x copies is,

y = 0.15x + 3

For x = 250

y = 0.15*250 + 3

y = $40.5

Hence, The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.

Cost for 250 copies is $40.5

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Equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

Given points:

(1, 1.5) and (2, 3.5)

slope m = 3.5 - 1.5 / 2 - 1

= 2/1

m = 2

substitute m and (1,1.5) in y = mx + c

1.5 = 2*1 + c

1.5 - 2 = c

c = -0.5

c = -1/2

y = mx + c

y = 2x - 1/2.

Therefore equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

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William will arrive home at 16:45, it will take 45 min to reach home.

Given, that William leaves work at 16:00

Distance from work to home is 36 kilometres

Also, he drives at an average speed of 48 km/hr

Now, using distance-speed relation to find the time

So, as we know Distance = Speed × Time

On putting the values of distance and speed, we get

36 km = 48 km/hr × Time

On dividing both the sides by 48, we get

36/48 = (48×Time)/48

36/48 = Time

Time = 0.75

Hence, he will take 0.75 hr to reach home.

0.75 hr ≈ 45 minutes

As, 1 hr = 60 minutes

0.75 hr = 0.75 × 60 = 45 minutes

So, William will arrive home at 16:45

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The expression that is equivalent to the given expression is 6y³ + 8y⁵

From the question, we are to determine the expression that is equivalent to the given expression

The given expression is

2y (3y^2 + 4y^4)

This can be properly written as

2y (3y² + 4y⁴)

Now, to determine the expression that is equivalent to this expression, we will expand the expression by applying the distributive property.

2y(3y² + 4y⁴)

2y(3y²) + 2y(4y⁴)

Multiplying

6y³ + 8y⁵

Hence,

The expression is 6y³ + 8y⁵

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Answer:

someone answer please ive been waiting for 2 hours :skull:

Step-by-step explanation:  please answer yall

Zimbardo did not use a control group. Experiments are performed to reach meaningful conclusions using the appropriate research method. The correct answer is (A).

Experiments whether they are done in natural settings or in a controlled environment need to follow certain ethics. But the Stanford Prison Experiment is an exception. In this experiment, Philip Zimbardo, the Stanford psychologist, took paid participants and asked them to be “guards” in a mock prison at Stanford University.

As soon as the experiment began, the “guards” began mistreating the “prisoners,” in order to provoke evil circumstantially. The conclusion of the study suggested innocent people, thrown into a situation where they have power over others, will begin to misuse that power. And people who are put into a situation where they are powerless will be driven to submission.

The Stanford Prison Experiment has proved to be a Fraud. Philip Zimbardo, the Stanford psychologist who did the experiment, and interviews of the participants, offers convincing evidence that the guards in the experiment were trained to be cruel. This proves that the experiment’s most memorable moment of a prisoner screaming out of rage and proclaiming, “I’m burning up inside!” was the result of the prisoner's acting skills. Many of them think of this study as more of a dramatic demonstration with no real outcomes. The Zimbardo prison experiment is a classic study that has been recently reevaluated and exposed as a fraud.

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The letters for XYZ are in the wrong order.

The correct statement should be [tex]\triangle TUV \cong \triangle ZYX[/tex]

============================================

Further Explanation:

The order of the letters matters when writing congruence statements.

The claim is that [tex]\triangle TUV \cong \triangle XYZ[/tex]

The first two letters of each are "TU" and "XY" in that order.

But notice how TU has a single tickmark, while XY has a double tickmark. The two sides are clearly different.

--------

Instead, the statement should be: [tex]\triangle TUV \cong \triangle ZYX[/tex] because of the following three facts:

Notice that:

Answer: The general term is an = 4n

Step-by-step explanation:

An equation relating C to M is (C) = 23.75 + 0.65M.

Given,

In the question:
The standard charge S (in dollars) is given by the

function S=18.95 +0.50M, where M is the number of miles driven.

The insurance charge I (in dollars) is given by the function I=4.80 +0.15M.

and, Let C be the total charge (in dollars) for a rental that includes insurance.

To find the An equation relating C to M.

Now, According to the question:

By the topic:

The total Charge (C) = The standard Charge (S) + The insurance charge (I)

Thus,

The total Charge (C) = 18.95 +0.50M + 4.80 +0.15M.

Combine like terms:

The total Charge (C) = 18.95 + 4.80 + 0.50M + 0.15M

The total Charge (C) = 23.75 + 0.65M

Hence, An equation relating C to M is (C) = 23.75 + 0.65M.

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The surface area of the rectangular prism is 172cm^2

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross sections. The faces of the prism are parallelograms or rectangles.

The surface area of prism is 2A+ pH

where A is the base area

P is the perimeter of the base

and h is the height

for a rectangular prism, the base area is 2×8=16cm^2

perimeter of a rectangle= 2(l+b)

= 2(8+2)

= 20cm

surface area =( 2× 16) + 20× 7

= 32+ 140

= 172cm^2

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The equation in slope intercept form is x =4 .

Given:

x = -5

x + 5 = 0

here slope m = ∞.

line equation passes through (4,-3) with m = ∞

-3 = 1/0(4) + c

4 + c = 0

c = -4.

y = (1/0)x - 4

x - 4 = 0

x = 4.

Therefore the equation in slope intercept form is x =4 .

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The expression represents the amount of total money. Then the total late fee Camilla owes will be $2.1.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Camilla borrows a book from the library for d days.

The library charges a late fee 0.10 dollars per day that the book is late.

If Camilla returns the book more than 21 days after she borrowed it.

Then the expression will be 0.10d.

The total amount is given as

Total amount = 0.10 d

Total amount = 0.10 x 21

Total amount = $2.1

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x is equal to 125°  in the triangle

The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:

x + 25° + 30° = 180°

x + 55° = 180°

x = 180° - 55°

x = 125°

Therefore, the value of x is 125°. So x is equal to 125°

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choose any 2 points on the graph

To calculate the slope use the formula:

slope = y (point 2)-y (point 1)/x (point 2)-x (point1)

substitute the choses points in

calculate your awnser

The value of n is A. -1/2

The inequality that does not represent the position of 2 numbers on a number line is A. 4 1/2 > 25/4

A number line is a horizontal representation of number parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values

n is the negative side of the line and it is half (1/2) way between 0 and -1 hence should be -1/2

for the inequality, 4 1/2 > 25/4

4 1/2 = 4.5

25/4 = 6.25

4.5 should less than 6.25, and hence do not represent the correct position of two numbers

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Answer:

4.76

Step-by-step explanation:

had this on a test today!

The final price of the comic book after it is marked up is $5.79.

Since we have given that

Cost of a comic book including tax = $ 3.99

According to the question, it is given that it is marked up 45%,

=3.99 × (100+45)÷100

=3.99 × 145/100

=399 × 1.45

=5.79

Hence, the final price of the comic book after it is marked up is $5.79.

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