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swat32
3 years ago
11

Help me out with this pls (multiple choice) plz & ty

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

Answer:

D

Step-by-step explanation:

\sin(30)  =  \frac{y}{12}  \\ y = 6 \\   \cos(30)  =  \frac{x}{12 }  \\ x = \sqrt{108}  =  6 \sqrt{3}

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What is the equation of the following line written in slope-intercept form?
ladessa [460]

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

We have one point at (-5,-1)  and there is another point at (1,-5)

The slope is

m= (y2-y1)/(x2-x1)

   = (-5--1)/(1--5)

  = (-5+1)/(1+5)

  = -4/6

=-2/3

The point slope form of the equation is

y-y1 = m(x-x1)

y--1 = -2/3(x--5)

y+1 =-2/3( x+5)

Distribute

y+1 = -2/3 x -10/3

Subtract 1 from each side

y +1-1 = -2/3 x -10/3 -1

Get a common denominator

y = -2/3 x -10/3 -3/3

y = -2/3 x - 13/3

6 0
3 years ago
Translate each phrase into a numerical expression, using the fraction bar to denote division. Then simplify your expression.
kakasveta [241]
1. \frac{4}{12} = \boxed{\frac{1}{3}}


2. \frac{-50}{6} = \boxed{\frac{-25}{3}}
3 0
4 years ago
3z2 - 2z + 8 <br> -<br> (10z2 +7z - 12)
klemol [59]

Answer: 7z²-9z+20

Step-by-step explanation:

PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

4 0
3 years ago
A borrower had a loan of $ 60 comma 000.00 at 4 % compounded annually comma with 8 annual payments. Suppose the borrower paid of
quester [9]

Answer:

The amount needed to pay off the loan after 4 years is $70,192

Step-by-step explanation:

When interest is compounded annually, total amount A after t years is given by:

A = P(1 + r)^{t}

where P is the initial amount (principal), r is the rate and t is time in years.

From the question:

P = $60,000

r = 4% = 0.04

t = 4

A = 60000(1 + 0.04)^{4} \\A = 60000(1.04)^{4}\\A = 60000 * 1.16985856\\A = 70191.5136\\A = 70192

The amount needed to pay off the loan after 4 years is $70,192

If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.

7 0
3 years ago
mudrik installed a device on his car that guaranteed to increase his gas mileage by 15% .He currently gets 22 miles per gallon .
maksim [4K]

According to the advertising, Mudrik expects his gas mileage
to increase by

           (0.15) x (22) = 3.3 mpg ,

    to     (22) + (3.3) = 25.3 mpg .

But to answer the question exactly as you asked it,
I would predict that the change in the gas mileage
after installing the device will be insignificant, and
that the change is equally likely to be either an
increase or a decrease.

If such a device existed, it would already be standard
equipment on every car that's sold.

8 0
4 years ago
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