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3 years ago

help me

The complement of a 42° angle is . The supplement of a 42° angle is . The complement of an 81° angle is . The supplement of an 81° angle is .

Mathematics

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What is 1/4(8+x+4) simplified using the distributive property

Nana76 [90]

1/4(12 + x)
3 + 1/4x
The solution is 3 + 1/4x

7 0

3 years ago

Read 2 more answers

Combine Radicals/Fractional Exponents

Crazy boy [7]

$\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}$

$\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}$

$\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}$

$\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}$

$\bigstar\;\;\mathsf{a = \dfrac{5}{4}}$

$\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}$

$\bigstar\;\;\mathsf{c = -3}$

$\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}$

$\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}$

7 0

3 years ago

Help please <br> 7^-1 x 7^5/7^6

Nady [450]

Answer:7^-2

Step-by-step explanation:

7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2

5 0

3 years ago

Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software package

Rzqust [24]

Answer:

$15 for one month of game play.

Step-by-step explanation:

3 software packages times $30 equals $90 total in software packages. Subtract this from the total total of $210 to get $120.

Combined, Angie and Kenny got 8 months of game play.

Divide $120 by 8 to get $15.

It costs $15 to get 1 month of game play.

5 0

3 years ago

How many employers ask that employees be skilled in communication and handling money

Alexandra [31]

Based on the Venn diagram, the number of employers who ask employees to be skilled in both communication (C) and handling money (M) is equal to 47 employers.

<h3>What is a Venn diagram?</h3>

A Venn diagram is a circular graphical tool that is used to graphically show, logically compare and contrast two (2) or more finite data set or samples in a given population.

From the Venn diagram, we can deduce that the number of employers who ask employees to be skilled in both communication (C) and handling money (M) is given by:

C∩M = 22 + 25

C∩M = 47 employers.

Read more on Venn diagram here: brainly.com/question/24581814

#SPJ1

4 0

2 years ago