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nevsk [136]
3 years ago
5

HELP ASAP

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

Answer:

1. 45

2. 24

3. 32

Step-by-step explanation:

One

Ashley= 3/4 * Steve

Ashley= 3/4 * 60

Ashley = 180/4

Ashley =   45

Two

60% of 40

60/100 * 40

2400/100 = 24

Three

40% 80 = 40/100 * 80 = 3200 / 100 = 32

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How can csc^2-cot^2 = 1?
Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

6 0
3 years ago
A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of th
Reil [10]

Answer:

 

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

3 0
2 years ago
Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be
emmasim [6.3K]

Answer:

C. 20 feet

Step-by-step explanation:

Let x = width

Let y = length

If the length is at least 10 feet longer than the width:

⇒ x + 10 ≤ y

⇒ x ≤ y - 10

If the perimeter is to be no more than 100 ft:

⇒ 2x + 2y ≤ 100

⇒ x + y ≤ 50

⇒ x ≤ 50 - y

Equate the equations for x and solve for y:

⇒ y - 10 = 50 - y

⇒ 2y = 60

⇒ y = 30

Substitute found value of y into one of the inequalities for x:

⇒ x ≤ 30 - 10

⇒ x ≤ 20

Therefore, the maximum possible width of the fence is 20 feet.

8 0
2 years ago
What is 5/6divided by 30/60
bearhunter [10]
It would be: 5/6 / 30/60
We can re-write it as: 5/6 * 60/30
= 1/1 * 10/6
= 5/3

In short, Your Answer would be 5/3 or 1 2/3 or 1.67

Hope this helps!
5 0
3 years ago
Help, please (Math - Dividing Fractions)
Rudiy27

Answer:

Part A = Jillian is not correct, bottom right answer

Part B = The first blank is fraction fs

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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