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3 years ago

What is the answer please thank you

Mathematics

2 answers:

sattari [20]3 years ago

8 0

Dear Gisell1, the cost for 7 teachers to attend is $26.

UNO [17]3 years ago

4 0

It would cost $26 for seven teachers to attend the technology conference.

Steps I Took to Find the Answer:

1. Replace n for 7
3n + 5 ------> 3 × 7+ 5

2. Then simplify
a. 21 + 5 = ?

3. Solve.
21 + 5 = 26

Hope I helped! <3

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A quadrilateral has two angles that measure 240° and 70°. The other two angles are in a ratio of 2:3. What are the measures of t

sergey [27]

Answer:

The two missing angles are 20 and 30 degrees.

Step-by-step explanation:

Quadrilaterals have four interior angles that add up to 360 degrees.

So we have two angles that are 240 degrees and 70 degrees.

If 240 + 70 = 310

That means the other two angles added together must be equal 50.

Because 360 - 310 = 50

So their ratio is 2:3 which means they have five equal parts.

Which would mean 50/5 = 10

2 x 10 = 20

3 x 10 =30

This means the missing angles are 20 and 30 degrees.

Hope this helped you!

4 0

2 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet tall and has a base with a circumferen

tatyana61 [14]

Answer:

The volume of the sculpture is 67.824 ft^3

Step-by-step explanation:

In this question, we are to calculate the volume of a conical sculpture, given the height of the sculpture and the circumference of the base.

Mathematically, the volume V of the sculpture is given by;

V =1/3 * π * r^2 * h

Now, we have the height directly from the question but we do not have the value of the radius.

We can obtain the value of the radius from the circumference of the base

Mathematically, the circumference C of the base of the cone is given by;

C = 2 * π * r

Inputing the value of the circumference, we have;

22.608 = 2 * 3.14 * r

r = 22.608/(2 * 3.14)

r = 22.608/6.28

r = 3.6 feet

Now plugging these values into the volume equation, we have

V = 1/3 * 3.14 * 3.6^2 * 5

V = 67.824 ft^3

6 0

3 years ago

A sphere is dilated by a scale factor of 1.5 to create a new sphere. How does the volume of the new sphere compare with the volu

SashulF [63]

Answer:

The volume of new sphere is 3.375 times greater than the volume of old sphere

Step-by-step explanation:

Let r be the radius of old sphere. This old sphere is dilated by a scale factor of 1.5 to create a new sphere, so the radius of new sphere is R=1.5r.

The volume of the sphere can be calculated using formula

$V=\dfrac{4}{3}\pi r^3$

Hence,

$V_{old}=\dfrac{4}{3}\pi r^3\\ \\V_{new}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi (1.5r)^3\\ \\\dfrac{V_{new}}{V_{old}}=\dfrac{\dfrac{4}{3}\pi (1.5r)^3}{\dfrac{4}{3}\pi r^3}=1.5^3=3.375$