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3 years ago

What is the measure of angle Q to the nearest whole degree? 43° 49° 53° 58°

Mathematics

1 answer:

geniusboy [140]3 years ago

3 0

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

$cos^{-1}Q = 0.604$

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

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What is 3 more than -5 ? plsssss answer i will mark as brilliant

WARRIOR [948]

Answer:

-2

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Please help

denpristay [2]

9514 1404 393

Answer:

260 miles
$73.80

Step-by-step explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

(y) -(y) = (40 +0.13x) -(53 +0.08x)

0 = -13 +0.05x

Multiplying by 20 gives ...

0 = -260 +x

Adding 260, we have ...

x = 260

The plans cost the same for 260 miles of driving.

The cost of the plans for that distance is ...

y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

y = 73.80

The cost when the two plans cost the same is $73.80.

8 0

2 years ago

18,000 amounts to 21,600 in 4 years at simple interest. Find the sum of

AnnyKZ [126]

Answer:

$\$20,400$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

$t=4\ years\\ P=\$18,000\\ A=\$21,600\\r=?$

substitute in the formula above and solve for r

$\$21,600=\$18,000(1+4r)$

$1.2=(1+4r)$

$4r=1.2-1$

$r=0.2/4=0.05$

The rate of interest is $5\%$

step 2

Find the sum of money that will amount to 25,500 in 5 years, at the same rate of interest

in this part we have

$t=5\ years\\ P=?\\ A=\$25,500\\r=0.05$

substitute in the formula above and solve for P

$\$25,500=P(1+0.05*5)$

$P=\$25,500/(1.25)=\$20,400$

3 0

3 years ago

PLEASE HELP ILL GIVE BRAINLIEST

iren [92.7K]

The answers are option C) segment and option D) ray

Step-by-step explanation:

Line :

A line has arrow mark in the two ends. So, the diagram is not a line.

Point :

A point represents particular spot as a small dot. So, the diagram is not a point.

Segment :

It is a piece of line that has two end points. This part of line is called line segment and it is shown in the picture. option C is correct.

Ray :

A ray is a line with one endpoint and the other end extends with an arrow mark. So, the option D is also correct.

5 0

3 years ago

A rectangle's length is twice its width. if the perimeter is 66 cm find the width of the rectangle

Lesechka [4]

Perimeter = 2L + 2W

Let x = width and let 2x = length

Perimeter = 66

2x + 2(2x) = 66

2x + 4x = 66 --> 6x = 66 --> x = 66/6 --> x = 11

The width of the rectangle is 11 cm.

6 0

3 years ago