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valkas [14]
3 years ago
11

What is the volume of the given prism? round the answer to the nearest tenth of a centimeter. 9.4 cm 5.4 cm 11.7 cm?

Mathematics
2 answers:
olganol [36]3 years ago
7 0
The volume of a cuboid is the product of its dimensions.
  (9.4 cm)·(5.4 cm)·(11.7 cm) = 593.892 cm³ ≈ 593.9 cm³
Natasha_Volkova [10]3 years ago
6 0

Answer:

Volume of the prism = 593.9 cm^3

Step-by-step explanation:

Length =9.4 cm

width=5.4 cm

height =11.7 cm

Volume of the prism = Length * width * height

Plug in the values and multiply the numbers to get volume of the prism

Volume of the prism = Length * width * height

Volume of the prism = 9.4 * 5.4 * 11.7

= 593.892 cubic cm

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<span />x=base price
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x+x/10+x/50=24,416

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3 years ago
Can I get some help with proofs?<br> Picture is attached
aleksandr82 [10.1K]

Give a reason for each step of the proof. 

Given: <1 and <2 are complimentary 

<1 is congruent to <3, 

<2 is congruent to <4 

Prove: <3 and <4 are complimentary 

Statements: Reasons: 

1. <1 and <2 are complimentary 1.Given 

2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>

3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______ 

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7. <3 and <4 are complimentary 7.<u> DEFINITION OF COMPLEMENTARY ANGLES</u>

8 0
3 years ago
Which one doesn’t belong? Select a graph and give a reason why you selected the shape. Are there any other graphs that do not be
borishaifa [10]

Answer:

Graph 4

Step-by-step explanation:

Graph 4 does not belong. This is as a result of the fact that it Graph 4 has a negative slope(descends) while all other graphs have a positive slope(ascends).

Another way to view it is that the values in Graphs 1, 2 and 3 are directly related while the values in Graph 4 are inversely related.

3 0
3 years ago
PLEASE HELP ASAP!! Will give brainliest!
Degger [83]
Hi there! 9.125 * 10^-3 is definitely less than 9.125 * 10^2, because when it comes to negative powers of 10, the numbers are decimals. 10^-3 equals 0.001 or one thousandths in word form. 10^2 is 100. When solving for the answers. 0.009125 is less than 912.5. When 912.5 is divided by 0.009125 912.5 is 100^5 or 100,000 times greater than 0.009125. The answer is that 9.125 * 10^-3 is 100,000 (100^5) times less than 9.125 * 10^2.
7 0
3 years ago
Read 2 more answers
Given: PRST is a square
xxTIMURxx [149]

Answer:

(1-\sqrt{2})a^2

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a

Thus,

MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a

Consider isosceles triangle MSC. In this triangle

MS=MC=(\sqrt{2}-1)a.

The area of this triangle is

A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}

Consider right triangle PTS. The area of this triangle is

A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2

5 0
3 years ago
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