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2 years ago

Rationalize the denominator and simplify. 5 / 4 - sqrt 3

Mathematics

1 answer:

Whitepunk [10]2 years ago

4 0

Answer: $\frac{20+5\sqrt[]{3} }{13}$

Step-by-step explanation:

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Alphabet cutouts come in packages of 6 sheets for $8. How much does Tanesha spend on alphabet cutouts if she need 72 sheets?

Darina [25.2K]

Hey there! :)

Answer:

$96 spent.

Step-by-step explanation:

Set up a proportion to determine the amount spend for 72 sheets. Express it in sheets/amount spent:

$\frac{6}{8} = \frac{72}{x}$

Cross multiply:

6 · x = 8 · 72

6x = 576

Divide:

x = $96 spent for 72 sheets.

4 0

2 years ago

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HELP PLS

jeka94

There is no correlation. We know this because it doesn’t matter how many samples were provided, the customers still bought approximately the same number of bottles.

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2 years ago

What is the pre-image of vertex A' if the rule that created the image is ry-axis(x, y) → (–x, y)? A(–4, 2) A(–2, –4) A(2, 4) A(4

aev [14]

do you have a picture

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2 years ago

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Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the

babymother [125]

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

$d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }$

DC:

D(-2,-1) C(-1,2)

$d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16$

CF:

C(-1,2) F(1,1)

$d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24$

F(1,1) E(2,-2)

$d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16$

E(2,-2) D(-2,-1)

$d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\$

3.16+2.24+3.16+4.12= 12.68

4 0

2 years ago

Solve the system by substitution

Alexxandr [17]

1) Solve one of the equations for either variable.

2) Substitute the expression from Step 1 into the other equation.

3) Solve the resulting equation.

4) Substitute the solution in Step 3 into one of the original equations to find the other variable.

5) Write the solution as an ordered pair.

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2 years ago