The following triangular prism has a volume of 10 cubic units and a height of 5 units. The triangular pyramid has a congruent base and the same height, and its longest edge is 7.5 units long. What is the volume of the pyramid?​

Answer:

14.76

Step-by-step explanation:

82 x .18 = 14 76 tip

Answer:

Scale factor is -3

so,

243x^7

-729x^8

2187^9

Answer:

1/6

Step-by-step explanation:

3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.

3/3=1

18/3=6

1/6

The probability of picking a green marble is 1/6.

To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.

The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).

So, the probability of picking a green marble can be written as:

P(green marble) = Number of green marbles / Total number of marbles

Substituting the values, we get: P(green marble) = 3 / 18

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6

Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.

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Answer:

3 feet = 36 inches

2 yards = 72 inches

Add them together to get:

108

Answer:

49.59°

Step-by-step explanation:

Using trigonometry, we can obtain AVA's angle of elevation to UFO

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 195 / 166

θ = tan⁻¹(195÷166)

= 49.59°

Answer:

X. 120 Y. 30 Z. 36.5

Step-by-step explanation:

X. 360-107-133= 120

Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30

Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5

Answer: The water will start to boil.

Step-by-step explanation: Water boils at 100 C.

Answer:

I will boil I hope this answer was good!

Answer:

x=-1

Step-by-step explanation:

Answer:

10x = 2x -8

-2x -2x

8x = -8

divide by 8

x = -1

Answer:

length = 12.5 in, width = 12.5 in, Area = 156.25 in²

Step-by-step explanation:

To get the maximum area, the wire can be shaped into a square. We can say that the length and width of the rectangle must be equal to each other, and call this value "x".

Therefore, we can write an equation for the perimeter:

The area of the rectangle is calculated using the formula:

Or in our case, the area of the rectangle is the area of a square:

Substitute x = 12.5 into this equation.

The maximum area that can be formed from the wire is 156.25 in², and the dimensions of the rectangle are 12.5 x 12.5 in.

Answer:

0

x

16

-5

5.5

Step-by-step explanation:

Answer:

1st option

Step-by-step explanation:

Given

5y - 7x = 7 ( add 7x to both sides )

5y = 7x + 7 ( divide the terms by 5 )

y = [tex]\frac{7}{5}[/tex] x + [tex]\frac{7}{5}[/tex]

Answer:

10x+14b+11

Step-by-step explanation:

3x+8b+7x+11+6b

3x+7x+8b+6b+11 = Regroup them

10x+14b+11 = Combine like terms

The requried, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property

To combine like terms 3x+8b+7x+11+6b, we can add the coefficients of x, add the coefficients of b, and add the constant terms. So we have:

3x + 8b + 7x + 11 + 6b = (3x + 7x) + (8b + 6b) + 11

Combining the like terms:

= 10x + 14b + 11

Therefore, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.

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Answer:

Step-by-step explanation:

volume=10 1/2 ×2 3/4 ×5

=21/2×11/4×5=1155/8=144 3/8 cubic inch

Answer:

Answer A is the correct answer.

Hello! answer: 276

I dont know for sure though cause the model looks different from what I've seen before so answer at your own risk but I'm pretty sure this is right Hope that helps!

Ok so what I did was base × height for the rectangles because thats the formula for those those I got 70 for both the left and right the left isn't showing but I'm assuming its there its 70 for both because 14 × 5 = 70 then for the bottom is 112 because 14 × 8 = 112 then the two triangles are 12 each because 8 × 3 = 24 then divide by 2 because thats what you do for triangles then I just add all these numbers up so... 70 + 70 + 112 + 12 + 12 = 276

Answer:

5 days

Step-by-step explanation:

dogs, combined, eat 80 ounches of food daily

there are 16 ounces in one pound so there are 25x16, or 400 ounces, in a 25-pound bag

400/80 = 5

25-pound bag would last 5 days

One bag of dog food volunteered by Amelia, Which have quantity of 25 pounds  will last for 5 days.

What is ratio?

Ratio is mathematical term, which we use for comparing two or more terms. basically it indicates that how much big or small is number in compared to another.

Given that,

Every day, Amelia puts out 10 ounces of food for each of the 8 dogs.

Dog food comes in 25-pound bags.

And it is know that,

1 pound = 16 ounce;

so by that way it can state that,

Dog food for 25-pound bag will be equal to;

25*16

400 ounce.

Everyday requirement of dog food is 8*10 = 80 ounce/day

Number of days food will  last= Available quantity/Everyday requirement

Number of days food will  last= 400/80

Number of days food will  last= 5 days

Hence, One bag of food will be enough for 5 days.

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Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

Answer:

I searched it up and took a screenshot

Step-by-step explanation:

Here they are:

Btw the 1st one is for 6x + 2y = 12 and the second one is for 5x + 2y = 8​.

Hope this helps! : )

Answer:

x:5⁰

y:52⁰

Step-by-step explanation:

triangle:180⁰

the triangleis isoceles triangle so y:52⁰

so B is 72⁰

(14x+6)⁰=(14(5)+6)⁰=72⁰

Answer:

just do 400 times 400 witch is 1600

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

Given

[tex]B =(-2,-1)[/tex]

[tex]U = (0,3)[/tex]

[tex]G = (3,2)[/tex]

[tex]S = (4,-3)[/tex]

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For BU

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{0- -2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

For GS

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3-2}{4-3}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3 - -1}{4- -2}[/tex]

[tex]m = \frac{-2}{6}[/tex]

[tex]m = -\frac{1}{3}[/tex]

For GU

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3-2}{0-3}[/tex]

[tex]m = \frac{1}{-3}[/tex]

[tex]m = -\frac{1}{3}[/tex]

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

Step-by-step explanation:

the mean is simply

8+9+3+9+3+8+4+4=48

48/8=6

mean= 6

the median is simply

3,3,4,4,8,8,9,9

4+8=12÷2=6

median=6

the mode is simply(I'm not sure of this answer)

3,4,8,9

the range is

9-3= 6

Answer:

120.105m^2

Step-by-step explanation:

Given data

Diameter of circular bed=  24+3m = 27m

radius= 27/2= 13.5 m

Diameter of side walk = 12

radius= 24= 12 m

Hence the area of the sidewalk is

Area= area of circular bed- area of side walk

Area=πR^2-πr^2

Area=π(R^2-r^2)

Area=π(13.5^2-12^2)

Area= 3.14(182.25-144)

Area= 3.14(38.25)

Area=120.105m^2

Hence the area of the side walk is 120.105m^2

you have a brain, do it yourself

Answer:

x = [tex]\frac{8\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x × [tex]\sqrt{3}[/tex] = 8 ( divide both sides by [tex]\sqrt{3}[/tex] )

x = [tex]\frac{8}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )

x = [tex]\frac{8\sqrt{3} }{3}[/tex]

Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.

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