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3 years ago

A balloon holds 5.2 cubic feet of air. The balloon is blown up larger to hold 8.3 cubic feet of air. What is the percent

Mathematics

1 answer:

Eddi Din [679]3 years ago

5 0

Answer:

8.3+5.2

Step-by-step explanation:

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Write 0.0123 in dcientific notation

KIM [24]

i think it's going to be 10^-2

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3 years ago

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Can someone help me solve these problems?

Goshia [24]

Answer:

Step-by-step explanation:

1) add all angles to 180

2) exterior angle = P + Q

i can add remaining ones also

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2 years ago

A surveyor sights the far bank of a river at an angle of 110° to the near bank. She then moves 75 feet upriver and sights the sa

Leya [2.2K]

Answer:

Correct answer is 54.82 ft.

Step-by-step explanation:

First of all, let us label the diagram and do the construction as per the attached answer image.

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ACB = 180-110 = 70^\circ$

Let side AB = d ft and let side BC = x ft

We need to find AB to find the shortest distance across the river.

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 70 = \dfrac{d}{x}\\\Rightarrow x = \dfrac{d}{tan70} = 0.36d ..... (1)$

Now, let us have a look at another right angled triangle ABD:

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ADB = 180-150 = 30^\circ$

side AB = d ft and side BD = x+75 ft

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 30 = \dfrac{d}{x+75}\\\text{Using equation (1)}:\\0.577 = \dfrac{d}{0.36d+75}\\\Rightarrow 0.207d + 43.27 = d\\\Rightarrow 0.793d = 43.27\\\Rightarrow d \approx 54.82\ ft$

Correct answer is 54.82 ft.

7 0

3 years ago

15n+24-4(n-3)+6-2n=105

Studentka2010 [4]

Answer:

n = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0

3 years ago

Read 2 more answers

Solve the following inequality in two ways and make a claim as to which

NikAS [45]

Answer:

The solution of the given inequality n < 5

Step-by-step explanation:

Explanation:-

Given inequality

$\frac{1}{4} (8 n -12 ) < n +2$

Step(i):-

Cross multiplication '4' we get

8 n - 12 < 4 ( n +2)

8 n - 12 < 4 n + 4×2

8 n - 12 < 4 n +8

Subtracting '4 n ' on both sides, we get

8 n - 4 n - 12 < 4 n - 4 n +8

4 n - 12 < 8

Step(ii):-

Adding ' 12 ' on both sides , we get

4 n -12 + 12 < 8 + 12

4 n < 20

Dividing "4' on both sides , we get

n < 5

The solution is n < 5

Conclusion:-

The solution of the given inequality n < 5

5 0

3 years ago