This prism has a right triangle for a base. What is the volume of the prism?

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

9514 1404 393

Answer:

  a) 540°

  b) 720°

  c) 900°

  d) 1440°

Step-by-step explanation:

The total measure of internal angles of a convex polygon is given by the formula ...

  sum of angles = 180°(n -2) . . . . for an n-sided polygon

So, you count the sides, subtract 2, and multiply that result by 180°.

__

a) 180°(5 -2) = 540°

b) 180°(6 -2) = 720°

c) 180°(7 -2) = 900°

d) 180°(10 -2) = 1440°

Step-by-step explanation:

answer is 22 students in the team

how do u get it?

you know it is 80% of the students went for try out so you do 100% - 80% give you 20% students the number of students in the team already. so you do 20 / 100 x 110 students which already in the whole school over 1 which would give it 22

Answer:

∠ A = 42°

Step-by-step explanation:

The inscribed angle A is half the measure of its intercepted arc BC , so

∠ A = 0.5 × 84° = 42°

Answer:

post the entire question

Answer:

200% of 7.50 is 15.00

200% more than 7.50 is 15 + 7.5 = 22.50

Step-by-step explanation:

100% of 7.50 is 7.50

another 100% is 7.50

so 200% is 15.00

200% of a value is the value multiplied by 2

200% more than 7.50 is 15.00 + 7.50 = 22.50

The value of 200% more than $7.50 is,

⇒ $22.50

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To find 200% more than $7.50.

Now, We get;

200% of $7.50

200/100 x $7.50

2 x $7.50

$15

Thus, 200% more than 7.50 is,

⇒ $15.00 + $7.50

⇒ $22.50

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Answer:

45°, 110° & 25°

Step-by-step explanation:

We know,

x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)

or, 2x + 90 = 180°

or, 2x = 90°

∴ x = 45°

Now,

∡A = x° = 45°

∡B = x +65° = 45° + 65° = 110°

Answer:

Step-by-step explanation:

[tex]x^{5} -x^{4}-2x^{3} +2x^{2} =0\\\\x^{4} (x-1) -2x^{2} (x-1) =0\\\\(x^{4} -2x^{2} ) (x-1)=0\\\\ x^{2} (x^{2} -2)(x-1) =0[/tex]

solutions are

x² =0 so x=0

x²-2 = 0 so x= ±√2

x-1 =0 so x= 1

Answer:

El segundo rectangulo va medir 30 centimetros de largo y 8 centimetros de ancho.

Step-by-step explanation:

Duplicar las medidas significa que vamos multiplicar las medidas por 2.

15 cm × 2= 30 cm

4 cm × 2= 8 cm

Espero que te ayude!

The equation of the given circle is :

[tex](x - 2) {}^{2} + (y - ( - 2)) {}^{2} = 9[/tex]

So the value in the blanks will be :

Answer:

Step-by-step explanation:

let duke be x years

dora be 7+x years

and emeka be 3(7+x) years

according to question ur equation is

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28

x=10/5

x=2

Answer:

Step-by-step explanation:

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28=10

D.b.s by 5

10÷5=2

Answer:

63sq. meters

Step-by-step explanation:

The Surface area of the pyramid = 2B + ph

Base area B = 1/2 * 2 * 1.5

B = 1 * 1.5

B = 1.5m²

Perimeter of the base = 2 + 1.5 + 2.5

p = 6m

Height of the priscm = 10m

Substitute into the formula;

TSA = 2(1.5) + 6(10)

TSA = 3.0 + 60

TSA = 63sq. meters

Hence the surface area is 63sq. meters

Answer:

Step-by-step explanation:

A mutiple is found by taking a number and multiplying it by 1, 2, 3, 4, etc. This ensures us that that number will go into each of the numbers we find...or in other words, is a multiple. Choice A gives us 4, 8, and 16. Since 4 * 1 = 4, 4 is a multiple of 4; since 4 * 2 = 8, 4 is a multiple of 8; since 4 * 4 = 16, 4 is a multiple of 16.

Answer:

a) 4,8 and 16

Step-by-step explanation:

mmultiples of four are numbers that can be divided by four exactly

16/4 equals 4

8/4 equals 2

4/4 equals 1

                                   ♣ explanation ♣

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It may seem crazy that the value of Y > 5 can be anything, but it can be. Y greater than 5 basically means that Y is any number over 5 and has no exact value.

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Remember, Y is a variable!

Answer:

Mean: 6.6

Mode: 5

Median: 5.5

Answer:

Mia has 180 counters

Step-by-step explanation:

if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180

Answer:

$76

Step-by-step explanation:

Peralta and Amy worked last winter shovelling their neighbour's driveway.

Let the amount

Peralta earns = x

Amy earns = y

Amy earned $8 more than twice the amount earned by Peralta.

y = 2x + $8

y = 2x + 8

If their earnings totalled $110,

x + y = 110

x = 110 - y

We substitute 110 - y for x

Hence:

y = 2(110 - y) + 8

y = 220 - 2y + 8

Collect like terms

y + 2y = 220 + 8

3y = 228

y = 228/3

y = 76

Since, the amount Amy earns = y

Therefore, Amy earned $76

Answer:

A. The points seem to be clustered around a line

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because there are 2 outliers

Answer:

82°

Step-by-step explanation:

That is the correct answer to put it simply

The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circle be represented as P

Now , the quadrilateral inscribed inside the circle be ABCD

where the measure of m∠A = 98°

The measure of m∠B = 90°

Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary

So , measure of ∠A + measure of ∠C = 180°

On simplifying , we get

98° + x° = 180°

Subtracting 98° on both sides , we get

x = 180° - 98°

x = 82°

Therefore , the measure of x is 82°

Hence , the value of x of the quadrilateral inside circle is 82°

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Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Answer:

C) 150

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It's an approximation

Answer:

45degrees

Step-by-step explanation:

Find the diagram attached

From the diagram m<L = m<O

GIven

m<L = 2x+20

m<O = 110degres

Equate

2x+20 = 110

2x = 110 - 20

2x = 90

x = 90/2

x = 45degrees

Hence the value of x is 45degrees