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3 years ago

15 is 30% of what number?

1 answer:

5 0

#1---> let the number you are trying to find be x for the following questions

30%*x=15
x=15/30%
x=50

#2
10%*x=14
x=14/10%
x=140

#3
(4/32)*100
is the same as (1/8)*100= 12.5%

#4
1%* x=11
x=11/1%
x=1100

by the way * means multiply

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1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

Step-by-step explanation:

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

Proof LHS → RHS

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

3 0

3 years ago

What is the probability that a point chosen at random in the given figure will be inside the smaller square?

Aliun [14]

I have to interpret that:

1) the smaller square has side length = 3 cm

2) the bigger square has side length = 5 cm

3) the smaller square is completely inside the bigger square.

4) the points cannot be outside the bigger square

Under those assumptions the probability that a point is inside the smaller square is

P (inside the smaller square) = area of the smaller square / area of the bigger square

P (inside the smaller squere) = (3cm)^2 / (5cm)^2 = 9 / 25

Answer: 9 / 25

8 0

3 years ago

Cole got 100 for his birthday. He can either save the money or buy a tennis racket with it. What is the opportunity cost if he b

hodyreva [135]

Cole can learn how to play tennis. But if he saved the money, he can save up and get something bigger, or save up for college. There is only so much he can do with a tennis racket except for using it to learn a new sport.

8 0

3 years ago

The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for pi.. Single choice.

Sonbull [250]

Answer:

379.94 mi²

Step-by-step explanation:

The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).

We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.

The equation now becomes

3.14(11²)

11 squared is 121.

3.14(121)

I recommend splitting the 121 into 100, 20, and 1.

(3.14 * 100) + (3.14 * 20) + (3.14 * 1)

Multiply 3.14 by 100, 20, and 1.

314 + 62.8 + 3.14

Add 314 and 62.8.

376.8 + 3.14

Add 376.8 and 3.14

379.94 mi² is the area of a circle with a 22-mile diameter.

6 0

2 years ago

The cost of a new car is $19,000. You can finance the car by paying $1000 down and $425 per month for 48 months.

Black_prince [1.1K]

!) $18,000
2) 1000 + 425(48) = $21,400 
3) 21,400 - 18,000 = $3400 
4) $23,500 
5) 2000 + 60(425) = $27,500 
6) 27,500 - 23,500 = $4000

5 0

3 years ago