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3 years ago

Find the length of BC

Mathematics

1 answer:

Ivan3 years ago

6 0

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

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Mr.Gadgets car broke down on the turnpike.Acme towing charged $30 plus $3 per mile to tow the car.If Mr.Gadget paid $174, how fa

aalyn [17]

The car was towed for 48 miles.

Step-by-step explanation:

Given,

Amount charges by Acme towing = $30

Per mile charges = $3

Total charged = $174

Let, x be the number of miles.

Towing charges + Per mile charges*number of miles = Total charged

30+3x=174

Subtracting 30 from both sides

$30-30+3x=174-30\\3x=144$

Dividing both sides by 3

$\frac{3x}{3}=\frac{144}{3}\\x=48$

The car was towed for 48 miles.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.

mihalych1998 [28]

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 = = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

a = 2.

-5c = -20 -> c = 4.

b = -6 + 5a = 4.

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

x = -1 + i.

x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

#SPJ1

8 0

1 year ago

Please help asap!!!!!

Morgarella [4.7K]

Answer:

the area = 25

Step-by-step explanation:

a= side length x side length

a = 5 x 5

a = 25

8 0

3 years ago

Read 2 more answers

1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£

bearhunter [10]

Answer:

mean=110/8 =13.75 pounds; median=14 pounds; mode=14 pounds; average=13.75 pounds

Step-by-step explanation:

mean=add all the numbers together to get total then divide that total by the number of amounts present 12, 15, 15, 14, 14, 13, 14, 13 =110, then 110/8=13.75 pounds

mode=arrange amounts in order (smallest to largest), then determine which amount appears more than the other amounts 12, 13, 13, 14, 14, 14, 15, 15 =14 appears the most

median=organize numbers from smallest to greatest, count how many there are, then determine which number appears in the middle of all of them 12, 13, 13, 14, 14, 14, 15, 15 = there are 8 numbers present but 14 is in the middle; answer =14

average= take total of mean, then divide it by the number of amounts that appear 110/8 =13.75

8 0

3 years ago

Two numbers that multiply to get 72 but add to get -22

Jlenok [28]

<span>Two numbers that multiply to get 72 but add to get -22

4 x 18= 72
4 + 18 = 22

just change the signs depending on the problem</span>

6 0

3 years ago