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Tatiana [17]
3 years ago
10

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:

x=28

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the side of the large triangle.

x            42

------ = ----------

x+10        42+15

x            42

------ = ----------

x+10        57

Solve using cross products

57x = 42(x+10)

Distribute

57x = 42x+420

Subtract 42x from each side

57x-42x = 42x-42x+420

15x = 420

Divide by 15

15x/15 = 420/15

x=28

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Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
The area of a square garden is shown. How long is each side of the garden? A=121ft^2
polet [3.4K]
The answer is 30.25ft
8 0
3 years ago
Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second wee
zhenek [66]
Assume the girls sold X boxes in the first week. They sold in the second week X+5 and 2X+10 in the third week.

The sum X + X + 5 + 2X + 10 = 431
4X = 416. Therefore X = 104
The answers are:
a0 = 104
a1 = 109
a2 = 218

Hope that helps you :)
6 0
3 years ago
The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a
Phantasy [73]

Answer:

Step-by-step explanation:

Given that X -  the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.

Height of male pilot = 74.2 inches

We have to find the percentile

X = 74.2

Corresponding Z score = 74.2-72.6 = 1.6

P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%

i.e. only 5% are below him in height.

Thus the malepilot is in 5th percentile.

8 0
3 years ago
Help again...
Natali [406]

A: 25.12 (26 if your rounding)

B: You have to multiply R by 2 then by pi (3.14)

C: 10.5 (11 if your rounding)

Step-by-step explanation:

For a: A circle's circumference is its diameter multiplied by pi (3.14) To get the diameter you would multiple the radius by 2. Therefore your answer being 25.12 (Round to 26 if you want)

For c: Divide 65 by pi then that answer by two.

3 0
3 years ago
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