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Anton [14]
3 years ago
13

HELP please:)) Geometry question

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer:

21.99 units

164.93 units²

Step-by-step explanation:

given radius r = 15 units

angle of sector = 84°

Length of sector = \frac{84}{360} x 2 x π x r

= \frac{84}{360} x 2 x 3.14 x 15

= 21.99 units

Area of sector = \frac{84}{360} x π x r²

= \frac{84}{360} x 3.14 x 15²

= 164.93 units²

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Find the sum of the geometric sequence. 4 divided by 3, 16 divided by 3, 64 divided by 3, 256 divided by 3, 1024 divided by 3
Art [367]

Answer:

Sum = \frac{1364}{3}

Step-by-step explanation:

The given geometric sequence is:

\frac{4}{3}, \frac{16}{3}, \frac{64}{3}, \frac{256}{3},\frac{1024}{3}

The first term of the sequence is a_{1}=\frac{4}{3}

The common ratio of the sequence is:

r=\frac{\frac{16}{3} }{\frac{4}{3} }=4

There are 5 terms in total in the given sequence so n = 5

The formula to calculate the sum of finite geometric sequence is:

S_{n} = \frac{a_{1}(1-r^{n}) }{1-r}

Using the given values, we get:

S_{5}=\frac{\frac{4}{3} (1-4^{5}) }{1-5} = \frac{1364}{3}

Therefore, the sum of given geometric sequence is \frac{1364}{3}

5 0
4 years ago
Find the value of X. Round the length to the nearest tenth.
Nataliya [291]

Answer:

5.5 yd

Step-by-step explanation:

The angle opposite to x is 20°

Reason: Alternate interior angles are equal

\frac{x}{15} = tan 20°

x = 15 × tan 20° = 5.459553514 yd

That is 5.5 yd (answer rounded off to nearest tenth).

3 0
3 years ago
Read 2 more answers
PLEASE ANSWER THIS GET BRAINLIEST IF YOUR ANSWER IS CORRECT AND 50 POINTS I'm gonna upload the rest on my next question
kondaur [170]

Answer:

1.  24 cubic units

2.  180 cubic units

3.  1/16 cubic units

Step-by-step explanation:

<u>Question 1</u>

Volume of a rectangular prism = width × length × height

                                                   = 3 × 4 × 2

                                                   = 12 × 2

                                                   = 24 cubic units

<u />

<u>Question 2</u>

Volume of a rectangular prism = width × length × height

                                                   = 5 × 12 × 3

                                                   = 60 × 3

                                                   = 180 cubic units

<u>Question 3</u>

Volume of a rectangular prism = width × length × height

                                                   = 1/4 × 1/2 × 1/2

                                                   = 1/8 × 1/2

                                                   = 1/16 cubic units

4 0
2 years ago
Read 2 more answers
A rectangular pyramid is sliced parallel to its base as shown in the figure. What is the shape of the resulting two-dimensional
Fed [463]

Answer:

Bbsvsgdv

Step-by-step explanation:

Bsbzvevv

7 0
3 years ago
Use the equation v = StartFraction 10 Over p EndFraction to determine the pressure when the volume is 10 liters. A. 10 c. 100 b.
Galina-37 [17]

The value of the pressure is 1 when the value of volume is 10 liters, the correct option is D.

<h3>What is the pressure?</h3>

Pressure is defined as the physical force exerted on an object.

The force applied is perpendicular to the surface of objects per unit area.

Given

The equation is

\rm V=\dfrac{10}{p}

Where the v is the volume and p is the pressure.

The value of p when the value of volume v is 10 liters is;

\rm V=\dfrac{10}{p}\\\\\rm 10=\dfrac{10}{p}\\\\P = \dfrac{10}{10}\\\\P=1

Hence, the value of the pressure is 1.

To know more abour pressure click the link given below.

brainly.com/question/17799294

6 0
2 years ago
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