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3 years ago

SOMEBODY PLEASE HELP!! Find the missing value. Show your work please.

Mathematics

1 answer:

labwork [276]3 years ago

5 0

In triangle b. we know that tan(x) = Opposite side to x angle / Adjacent side to angle x.
By substituting in above formula,
tan(x) = 12/5 = 2.4
x = tan^-1(2.4) = 68 degrees.
And in triangle a. i am not clear with the angle. Is it 51 or any other?

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The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec

mixer [17]

ANSWER

$w = (x - 8)$

EXPLANATION

The given rectangle has area,

$A = {x}^{2} - x - 72 \: {m}^{2}$

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

$A = {x}^{2} - 9x + 8x- 72$

We now factor by grouping;

$A = x(x - 9) + 8(x- 9)$

$A = (x + 8)(x - 9)$

We know that area of a rectangle is

$A = l \times w$

Hence the width of the rectangle is,

$w = (x - 8)$

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3 years ago

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I stink at math please help me!

IceJOKER [234]

Only 0.15 or 3/20 of voters were eligible for Shelly. Only 0.3125 or 5/16 of voters were eligible for Morgan.

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3 years ago

Brittany opened a savings account with an annual interest rate of 10% and an initial deposit of $7000. If her interest is compou

GenaCL600 [577]

Initial Deposit = $7000

It means P= $7000

rate of interest = 10%

So , r = 0.10

compounded quarterly , so n = 4

and we have to find the amount after 5 years , So t = 5

Now the formula we use here is

$A= P(1+\frac{r}{n} )^{nt}$

$A= 7000(1+\frac{0.10}{4} )^{(4)(5)}$

$A= 7000(1.025 )^{(20)}$

$A= 7000(1.63861644029)$

$A= 11470.315$

So amount after 5 years = $11470.315

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3 years ago

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What inequality is on the number line?

Elis [28]

Answer:
y ≥ -5

Explanation:
y is greater than -5 because the darkened line is heading towards the positive side.
(The positives are greater than the negatives.)
(The smaller negative numbers are greater than the larger negative numbers.)

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2 years ago

An arts academy required there to be 4 teachers for every 64 students and 6 tutors for every 48 students.How many students does

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Answer:

1. 16 teachers 2. 8 tutor 3. 6 teachers

Step-by-step explanation:

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2 years ago