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kotykmax [81]
2 years ago
7

PLEASE HELP ME ASAP Find the area. Be sure to write the formula, work and answer with units.

Mathematics
2 answers:
Umnica [9.8K]2 years ago
8 0
170ft^2 A=lw A being area l begging length and then w is for the width
mixas84 [53]2 years ago
7 0

Answer:

170ft^2

Step-by-step explanation:

We need to find the areas of the partitioned areas and then add them to get the total area of the complex figure.

The area of the rectangle can be found by A = lw

The area of the triangle can be found by A = (1/2)*bh

We have already been given the length of the rectangle.

The base of the triangle is 22ft - 12ft = 10ft.

Since this is a 45-45-90 triangle, we can also say that the dashed line is also 10ft long, and this also represents the width of the rectangle.

This means that the height of the triangle and the width of the rectangle are both 10ft.

Area of rectangle = lw

A = 12ft * 10ft

A = 120ft^2

Area of triangle = (1/2)*bh

A = (1/2) * 10ft * 10ft

A = (1/2) * 100ft^2

A = 50ft^2

The total area of the figure is 120ft^2 + 50ft^2 = 170ft^2.

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A physical property of a solid could be smoth or hard
6 0
3 years ago
Wilson frees home security system he has an 11% commission on every system he sells wislson sale for this month totaled $4264.00
Finger [1]

Wilson's commission is $469.04

Step-by-step explanation:

Given,

Commission = 11%

Total sales worth = $4264.00

Amount of commission = 11% of total sales worth

Amount\ of\ commission=\frac{11}{100}*4264\\\\Amount\ of\ commission=\frac{46904}{100}\\\\Amount\ of\ commission=\$469.04

Wilson's commission is $469.04

Keywords: commission, division

Learn more about division at:

  • brainly.com/question/6105786
  • brainly.com/question/6270221

#LearnwithBrainly

6 0
2 years ago
Welppp fastttt!!!!!!!!!!!!!!!!!!
Romashka [77]

Answer: B

Step-by-step explanation:

Grade must be greater than or equal to 88

7 0
2 years ago
Read 2 more answers
The score on an exam from a certain MAT 112 class, X, is normally distributed with μ=78.1 and σ=10.8.
salantis [7]

a) X

b) 0.1539

c) 0.1539

d) 0.6922

Step-by-step explanation:

a)

In this problem, the score on the exam is normally distributed with the following parameters:

\mu=78.1 (mean)

\sigma = 10.8 (standard deviation)

We call X the name of the variable (the score obtained in the exam).

Therefore, the event "a student obtains a score less than 67.1) means that the variable X has a value less than 67.1. Mathematically, this means that we are asking for:

X

And the probability for this to occur can be written as:

p(X

b)

To find the probability of X to be less than 67.1, we have to calculate the area under the standardized normal distribution (so, with mean 0 and standard deviation 1) between z=-\infty and z=Z, where Z is the z-score corresponding to X = 67.1 on the s tandardized normal distribution.

The z-score corresponding to 67.1 is:

Z=\frac{67.1-\mu}{\sigma}=\frac{67.1-78.1}{10.8}=-1.02

Therefore, the probability that X < 67.1 is equal to the probability that z < -1.02 on the standardized normal distribution:

p(X

And by looking at the z-score tables, we find that this probability is:

p(z

And so,

p(X

c)

Here we want to find the probability that a randomly chosen score is greater than 89.1, so

p(X>89.1)

First of all, we have to calculate the z-score corresponding to this value of X, which is:

Z=\frac{89.1-\mu}{\sigma}=\frac{89.1-78.1}{10.8}=1.02

Then we notice that the z-score tables give only the area on the left of the values on the left of the mean (0), so we have to use the following symmetry property:

p(z>1.02) =p(z

Because the normal distribution is symmetric.

But from part b) we know that

p(z

Therefore:

p(X>89.1)=p(z>1.02)=0.1539

d)

Here we want to find the probability that the randomly chosen score is between 67.1 and 89.1, which can be written as

p(67.1

Or also as

p(67.1

Since the overall probability under the whole distribution must be 1.

From part b) and c) we know that:

p(X

p(X>89.1)=0.1539

Therefore, here we find immediately than:

p(67.1

7 0
3 years ago
Simplify -4(x+6)+2(x-2)
kati45 [8]

Answer:

-2x-28

Step-by-step explanation:

We can apply the distributive property then combine like terms for a simpler equation.

-4(x+6)+2(x-2)\\\\-4x-24+2x-4\\\\-2x-28

Hope this helped!

6 0
2 years ago
Read 2 more answers
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