Find the surface area of this prism. Round to the nearest tenth. Help, please!!!

1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.

Kruka [31]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=Bh$

<em>h</em><em> - height</em>

<em />

1. We have

<em>h = 5in, B = 20 in²</em>.

Substitute:

$V=(5)(20)=100\ in^3$

2. We have

<em>B = 20.7 in², V = 207 in³</em>.

Substitute:

$207=20.7h$ <em>divide both sides by 20.7</em>

$\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in$

4 0

3 years ago

Read 2 more answers

63 less than four times a number is equal to the number. What is the number?

kap26 [50]

x = a number

4x - 63 = x

Subtract 4x from both sides.

-63 = -3x

Divide both sides by -3

21 = x

8 0

3 years ago

Read 2 more answers

Select the correct answer. to solve this system of equations using substitution, what could be substituted in place of y in the

Rina8888 [55]

To use substitution to evaluate this system of equations, the y value to be substituted is 2x - 7.

<h3>What is method of substitution?</h3>

The algebraic method for solving simultaneous linear equations is the substitution method. The values of one variables from one expression is substituted with in second equation, as the name implies.

Now according to the question;

The expressions are as follows;

4x = 5 – 2y and y – 2x + 7 = 0

To solve the following system of equations, we must determine what substitution must be made in place of y in the first equation.

Let us now deduce the value of y from the second equation.

y – 2x + 7 = 0 ⇒ y = 2x – 7

We now have the y value, which we can plug into the first equation;

⇒ 4x = 5 – 2(2x – 7)

4x = 5 – 4x + 14

4x + 4x = 5 + 14

8x = 19

x = 19/8

Substitute the value of x in y to get its value.

y = 2×(19/8) - 7

y = -9/4

Thus, the values obtained for the given set of equations are-

x = 19/8 and y = -9/4 by method of substitution.

To know more about method of substitution, here

brainly.com/question/22340165

#SPJ4

3 0

1 year ago

A square is cut into two congruent triangles by drawing the diagonal between two corners. If the area of each triangle is 162 cm

Pavel [41]

Ok so area=162
since the triangles sides were cut out of a square, base=height
area=1/2bh=162
b=h
area=1/2b^2=162
times 2 both sides
b^2=324
sqrt both sides
b=18=h
the legnth of one side is 18cm
see diagram

another way, is total aera of square=areas of both triangles=162+162=324
remember area of square=side^2 so
324=side^2
sqrt both sides
18=side

answer is 18cm

5 0

3 years ago

Angle FEDwith angleF=90degree, ED=36, and FE=22, calcularé the measures of the unknown angles and the unknown side length of the

Flauer [41]

Answer:

$\angle D=37.7^{\circ}$

$\angle E=52.3^{\circ}$

$FD\approx 28.5$

Step-by-step explanation:

Please find the attachment.

We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.

We will use sine to solve for angle D as:

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$