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3 years ago

What is the first operation that you will perform when you evaluate this expression? 12 + (18 - 2) x 3 ÷ 24

Mathematics

1 answer:

Temka [501]3 years ago

7 0

Answer:

(18-2)

Step-by-step explanation:

Use the formula of PEMDAS to determine which is first.

The p stands for parentheses so you would perform that operation first.

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Step-by-step explanation:

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2 years ago

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2 years ago

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Simplify 4( 3+ 7y) + 6(2 - y) if y =2

UkoKoshka [18]

Answer:

Step-by-step explanation:

The expression is given as:

4( 3+ 7y) + 6(2 - y)

It is known that y is equal to 2. Therefore, substitute 2 in for y.

4(3+7(2))+6(2-2)

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Solve inside of the parentheses first.

4(3+7(2))+6(2-2)

4(3+14)+6(0)

4(17)+6(0)

Multiply

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Add

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3 years ago

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

3 0

2 years ago