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3 years ago

6

2*2

smiddle" class="latex-formula">

1 answer:

ankoles [38]3 years ago

7 0

Step-by-step explanation:

$\cos(300 \degree) \\ \\ = \cos(360 \degree - 60\degree) \\ \\ = \cos( 60\degree) \\ \\ = \frac{1}{2} \\ \\ \huge \orange{ \boxed{ \therefore \: \cos(300 \degree) = \frac{1}{2} }}$

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Is y = 0.5x - 1 a liner function

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3 years ago

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Answer:

6 night

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vovikov84 [41]

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3 years ago

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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

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3 years ago

Which of the following statements is the converse of the statement, "If each of two angles has a measure of 28 degrees, then the

kogti [31]

Answer:

1.) If two angles have equal measures, then the measure of each is 28 degrees.

Step-by-step explanation:

The converse of a statement simply swaps the positions of the "if" and "then" clauses. Without any modification for clarity or readability, the converse would be ...

if <em>two angles are equal in measure</em>, then <em>each of the two angles has a measure of 28 degrees</em>.

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3 years ago