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4 years ago

Convert each proper fraction into a mixed number or whole number

Mathematics

1 answer:

Dennis_Churaev [7]4 years ago

7 0

You need to convert it into a whole number

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Which of the following represent the values of x, y, and z.

Paraphin [41]

Answer:

Part 1) $z=4\sqrt{3}\ units$

Part 2) $y=4\sqrt{2}\ units$

Part 3) $x=4\sqrt{6}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the value of z

In the right triangle DBC

$cos(C)=\frac{4}{z}$ ----> equation A

In the right triangle ABC

$cos(C)=\frac{z}{12}$ ----> equation B

equate equation A and equation B

$\frac{4}{z}=\frac{z}{12}$

$z^{2}=48$

$z=4\sqrt{3}\ units$

step 2

In the right triangle DBC

Applying the Pythagoras Theorem

$z^{2}=y^{2}+4^{2}$

we have

$z=4\sqrt{3}\ units$

substitute

$(4\sqrt{3})^{2}=y^{2}+4^{2}$

$48=y^{2}+16$

$y^{2}=48-16$

$y^{2}=32$

$y=4\sqrt{2}\ units$

step 3

Find the value of x

In the right triangle ABC

Applying the Pythagoras Theorem

$12^{2}=x^{2}+z^{2}$

we have

$z=4\sqrt{3}\ units$

substitute

$12^{2}=x^{2}+(4\sqrt{3})^{2}$

$144=x^{2}+48$

$x^{2}=144-48$

$x^{2}=96$

$x=4\sqrt{6}\ units$

6 0

4 years ago

What is the range of y=2 to the power of x

melisa1 [442]

The range is 0 to indifinity

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4 years ago

Emmet rolls a number cube. In 5 out of 24 trials, he rolls a six. What is the

V125BC [204]

Answer:

Step-by-step explanation:

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3 years ago

Distribution definition

ahrayia [7]

Dis·tri·bu·tionˌdistrəˈbyo͞oSH(ə)n/nounthe action of sharing something out among a number of recipients."she had it printed for distribution among her friends"synonyms:giving out, dealing out, doling out, handing out/around, issue, issuing, dispensation; Morethe way in which something is shared out among a group or spread over an area."changes undergone by the area have affected the distribution of its wildlife"synonyms:dispersal, dissemination, spread; Morethe action or process of supplying goods to stores and other businesses that sell to consumers.

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4 years ago

Read 2 more answers

Write the number as a product of primes. 99= ? (answer is not 33)

antoniya [11.8K]

Answer:

Prime factorization: 99 = 3 x 3 x 11, which can also be written 99 = 3² x 11

Step-by-step explanation: HOPE THIS HELPS

99 = 3 x 3 x 11, which can also be written 99 = 3² x 11.

5 0

1 year ago