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2 years ago

Priya spent 1/2 of the day hiking. she was lost 5/6 of the time that she was hiking.

1 answer:

8 0

You will have to get 5/6 of 1/2 so we have to multiply
$\frac{5}{6} \times \frac{1}{2} = \frac{5}{12}$
Priya was lost for 5/12 of the day

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Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0

3 years ago

Please help me 7th grade math operations with rational numbers

Katena32 [7]

1. Stock Market:
If a stock price decreased $2 per day for four days, then the total change in value of the stock is $8. (2 x 4)
Answer: $8.

2. Evaporation:
With the given information, we can infer that if 3 inches of water in a tank decreases each week, then 15 inches of water would decrease over the course of 5 weeks. (3 x 5)
Answer: 15 inches.

3. Football:
If a football team lost 9 yards on 3 consecutive plays, then the team's total change in position is 27 yards. (9 x 3)
Answer: 27 yards.

Hope this helps! Good luck.

5 0

2 years ago

The number of customers for a new online business can be modeled by y = 8x2 + 100x + 250, where x represents the number of month

kenny6666 [7]

The best prediction for the number of customers is 5450.

To find this value, you just need to plug in 20 for x into the expression. Then, evaluate it using the order of operations.

8(20)^2 + 100(20) + 250
8(400) + 100(20) + 250
3200 + 2000 + 250
5450

3 0

3 years ago

Given that sin theta = 1/4, 0

GaryK [48]

Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

$(cos \alpha )^2 + (sin \alpha )^2 =1$

2) From which you can find:

$(cos \alpha )^2 = 1 - (sin \alpha )^2$

3) Replace sin(α) with 1/4

=> $(cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16$

=> $cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4$

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = $\sqrt{15} /4$ .

And that is the answer.

6 0

3 years ago

HELP!!! 30 points!

user100 [1]

Basically, the equator is like the x-axis of the world and the prime meridian is like the y-axis. You locate places by distances from these lines.

7 0

3 years ago

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