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2 years ago

− ( x + 3 ) − 2 ( 4 x − 3 ) I need the correct steps

Mathematics

1 answer:

lianna [129]2 years ago

8 0

Answer:

-9x + 3

Step-by-step explanation:

You would distribute first.

− ( x + 3 ) − 2 ( 4x − 3 ) → -x − 3 − 8x + 6

(If you see a negative sign in front of a parenthesis without a number, its usually a negative 1)

From there, you would combine like terms.

-x − 3 − 8x + 6 → -9x + 3

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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

2 years ago

A local little league has a total of 80 players, of whom 80% are right-handed. How many

Mariulka [41]

Answer:

Step-by-step explanation:

80 percent *80 =

(80:100)*80 =

(80*80):100 =

6400:100 = 64

Now we have: 80 percent of 80 = 64

hope this helps :)

5 0

2 years ago

Here are vaccinations for all of the following except __________

Karo-lina-s [1.5K]

Answer:

Hepatitis C.

Step-by-step explanation:

5 0

1 year ago

What is the remainder when 3^99 is divided by 8?

Gnom [1K]

Answer:

Step-by-step explanation:

3^1=3 divided by 8 will give a remainder of 3

3^2=9 divided by 8 will give a remainder of 1

3^3=27 divided by 8 will give a remainder of 3

3^4=81 divided by 8 will give a remainder of 1

3^5=243 divided by 8 will give a remainder of 3

You will notice that 3^n will give 3 when n is odd number and 1 when n is even number

Since n=99 and 99 is an odd number,

Then the remainder is 3

3 0

2 years ago

Read 2 more answers

Find the area 3/4 circle with the radius of 4.<br> THXXXXX

AlexFokin [52]

Step-by-step explanation:

If you were asking what is the 3/4 the area of circle with radius 4 I can answer this.

The area of a circle with radius 4 is π4 ^2=16π

3/4*16π= 12π, thus your answer.

7 0

2 years ago