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3 years ago

Explain why angle “a” must be 135

Mathematics

1 answer:

Rama09 [41]3 years ago

3 0

Because (n-2)/n *180 that’s they mentioned a regular octagon so.. (8-2)/8*180 degree will give you 135 degree.. l hope it helped???

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The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. Explain how to find the

bogdanovich [222]

Answer:

Step-by-step explanation:

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.

1 mile = 1760 yards

24.5 miles = 24.5 × 1760

= 43120 yards

Therefore, the car drives 43120 yards on 1 gallon of gas.

7 0

2 years ago

An item is regularly priced at $50. It is on sale for 40% off the regular price. What is the sale price?

frez [133]

Answer:

30 dollars

Step-by-step explanation:

40% of 100 = 40. 40% of 50 = 20. 50-20 = 30.

8 0

2 years ago

Read 2 more answers

An individual is planning a trip to a baseball game for 16 people. Of the people planning to go to the baseball game, 8 can go o

Sedaia [141]

Answer: There are 4 people who only go to the game on Saturday.

Step-by-step explanation:

Let the number of people go on Saturday be n(A).

Let the number of people go on Sunday be n(B).

Since we have given that

n(A) = 8

n(B) = 12

n(A∪B) = 16

According to rules, we get that

$n(A)+n(B)-n(A\cap B)=n(A\cup B)\\\\8+12-n(A\cap B)=16\\\\20-n(A\cap B)=16\\\\n(A\cap B)=20-16=4$

So, n(only go on Saturday) = n(only A) = n(A) - n(A∩B) = 8-4 = 4

Hence, there are 4 people who only go to the game on Saturday.

4 0

3 years ago

Can anyone help me understand how to evaluate the limit of this complex fraction?

SSSSS [86.1K]

Answer:

-1/9

Step-by-step explanation:

$\lim_{x \to 3} \frac{1/x-1/3}{x-3}$

For simplicity, let's multiply top and bottom by 3x:

$\lim_{x \to 3} \frac{3-x}{3x(x-3)}$

Factor out a -1:

$\lim_{x \to 3} \frac{-(x-3)}{3x(x-3)}$

Divide top and bottom by x−3:

$\lim_{x \to 3} \frac{-1}{3x}$

Evaluate the limit:

$\frac{-1}{3(3)}\\-\frac{1}{9}$

It's important to note that the function doesn't exist at x = 3. As x <em>approaches</em> 3, the function <em>approaches</em> -1/9.

5 0

3 years ago

Chin Woo bought a home for $160,000. He put down 20%. The mortgage is a 8 1/2% for 25 years. His yearly payments are?

PolarNik [594]

Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000

Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer

6 0

2 years ago