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3 years ago

The dimensions of a triangular prism are shown in the diagram.

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

8 0

The answer is 158.75 cubic centimeters! :))

tekilochka [14]3 years ago

3 0

You would be sitting at 16 cm

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An executive is earning $45,000 per year. This is

Marizza181 [45]

Her salary 4 years ago would have been $30,000.

If 45,000 is 15,000 less than double her previous salary, we must first add 15,000 to 45,000 to find what double her salary was.

45,000+15,000=60,000.

Since this is twice her salary, we divide this by 2.

60,000/2= 30,000.

So, her salary 4 years ago would have been $30,000.

I hope this helps!

4 0

2 years ago

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

3 years ago

Find f of 1 and f of 4

Dafna1 [17]

You have to check f(1) in each one to see if it's right and for f(4)

4 0

3 years ago

For what values of c does the binomial 5-3c take on a value which is greater than 80?

Ganezh [65]

Answer: c > -25

From the question you can get the equation:
5 - 3c > 80; subtract 5 from both side
-3c > 75; divide -3 from both side
c > -25
So numbers including: -24, -23, -22, -21…
are all numbers that could work

7 0

3 years ago

staci has seven more cats than Talyor. write an expression that illustrates how many cats staci has. use x to represent the numb

belka [17]

X = 7 + staci since 7 more cats added to x is stacis amount

7 0

3 years ago

Read 2 more answers