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2 years ago

The triangles shown below must be congruent. True or False?

Mathematics

2 answers:

Slav-nsk [51]2 years ago

8 0

Answer:

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

so your amswer is A. True

givi [52]2 years ago

5 0

Answer:

they are technically congruent due to same angles n same or equal sides

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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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2 years ago

What is the square root of 64

tester [92]

Answer:

Step-by-step explanation:

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2 years ago

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Answers:

B: The sine function increases on (0°, 90°) and (270°, 360°).

C: The cosine function decreases on (0°, 180°).

E: Both the cosine and sine functions have a maximum value of 1.

F: Both the cosine and sine functions are periodic.

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3 years ago

2. A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as

oksano4ka [1.4K]

Answer:

2. 10 muffins with chocolate 30 without chocolate

Step-by-step explanation:

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2 years ago

What is a bank statement

azamat

Answer:

A bank statement can be defined as a record of payments in and out of a bank account.

Step-by-step explanation:

For example, energy providers offer direct debit payments as the amount that is used each month may vary and they take the required amount at each bill. Standing orders are similar to a direct debit except that they are for a fixed amount.

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