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Setler [38]
3 years ago
8

Find the area. The figure is not drawn to scale

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

(hypotenuse)^2=(base)^2+(perpendicular)^2

(AB)^2=(BC)^2+(AC)^2

(10)^2=(8)^2+(AC)^2

100=64+(AC)^2

100-64=(AC)^2

36=(AC)^2

take square root

6=AC

Then area of triangle ABC =\frac{1}{2}\left(base\right)\left(altitude\right)

=\frac{1}{2}\left(8\right)\left(6\right)=24

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

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19. Evaluate: 5 x (8-4) ÷ 4 - 2
leva [86]

Answer:

3

Step-by-step explanation:

5\times (8-4)\div 4-2= \\\\\\5\times 4\div 4-2= \\\\\\20\div 4-2= \\\\\\5-2= \\\\\\\boxed{3}

Hope this helps!

6 0
3 years ago
Johan always wears a shirt, pants, socks, and shoes. He owns 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants, and 8 shirt
DerKrebs [107]

Answer:

Johan can make 8000 different outfits.

Step-by-step explanation:

Johan needs to pick one of each (shirt, pants, socks and shoes) to make a outfit. The number of socks he has is 20 pairs, so he has 20 possibilities for socks. In the same way, the number of possibilities for shoes is 5, for pants is 10 and for shirts is 8.

So, to find the number of outfits he can make, we need to multiply all the possibilities for each case, so:

Number of different outfits = 20 * 5 * 10 * 8 = 8000.

6 0
3 years ago
Read 2 more answers
Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year. Write an equation to model the car’s value. U
Citrus2011 [14]

Answer:

P=P'(1-R/100)^T

Where P = Final price

P'=Initial price

T=Time

R=Rate of Depreciation.

5 0
3 years ago
A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0
3 years ago
Unit rate of 357 miles In 6.3 hours
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56.67 miles per hour
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