What is 0.031+10+2.2

The height of the pole, to the nearest tenth of a foot is given by: Option B: 6.7 feet

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Remember that we assume that pole is vertical to the ground. This means, there is 90° formation. The length of the rope can be taken as length of hypotenuse.

Referring to the attached figure below, we get:

Using the tangent ratio, we get:

[tex]\sin(x) = \dfrac{\text{Length of perpendicular}}{\text{Length of hypotenuse}} = \dfrac{|AB|}{|AC|}\\\\|AB| = \sin(x) \times |AC|\\\\|AB| = \sin(57^\circ) \times 8 \approx 6.71 \approx 6.7\: \rm feet[/tex]

Thus, the length of the pole is approx 6.7 feet (option B).

Learn more about trigonometric ratios here:

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Answer:

Hypothesis - the sun is out

Conclusion - we will go to the beach

Step-by-step explanation:

Answer:

D. 2 1/4

Step-by-step explanation:

(99/8)/(11/2)

(99/8)*(2/11)

(9/4)*(1/1)=9/4

9/4=2+1/4

Answer:

A. $,143,699,010

Step-by-step explanation:

Use a calculator my friend.

A. 1,430,699,010

put it in a calculator and then you should have the right answer

Answer:

(-1,-3)

Step-by-step explanation:

Add 1 to the x value of -2 and add 2 to the y value of -5

Answer:

9.72 x 10^2

Step-by-step explanation:

Answer:

8 and 7

Step-by-step explanation: since 8-7 is 1 and product is multiplication, 8 x 7 is 56

Answer:

11:10 am.

Step-by-step explanation:

The first thing I'm going to do is to add all the given time together

Total time = time spent at Willis tower + time spent at Navy Pier + time spent shopping

Total time = 1 HR and 10 minutes + 3 HR and 10 minutes + 1 hour and 15 minutes

Total time = (1 + 3 + 1) hr + (10 + 10 + 15) minutes

Total time = 5 hours + 35 minutes

The question doesn't make mention of how long they spent making the journey so, I'm assuming they spent 35 minutes driving around from Willis to the Pier and finally while shopping

Time = total time + time spent driving

Time = 5 hours 35 minutes + 35 minutes

Time = 6 hours and 10 minutes

Now, this time we've calculated, is what we're going to subtract from the dinner time to get our final answer

Needed time = dinner time - time

Needed time = 5:10 pm - 6:10

Needed time = 17:10 - 6:10

Needed time = 11:10

This means that they ought to start their tour by 11:10 am, so that they can meet their dinner

Answer:

2 is the number of dollars per seed.

6 is the number of lettuce seeds bought.

7 is the number of pea seeds bought.

Step-by-step explanation:

Two dollars multiplied by six plus seven packets of seeds.

Answer:

7

Step-by-step explanation:

Create an equation where x represents the original number:

(2x + 3) - 6 = 11

Solve for x:

(2x + 3) - 6 = 11

(2x + 3) = 17

2x = 14

x = 7

So, the original number was 7.

Answer:

48º

Step-by-step explanation:

Looks like opposite angles are congruent

Answer:

Y intercept=(0,8)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{B.\ \dfrac{12}{35}}[/tex]

Step-by-step explanation:

Look at the picture.

We know:

[tex]\sin\theta=\dfrac{a}{c}\\\\\tan\theta=\dfrac{a}{b}[/tex]

We have

[tex]\sin\theta=\dfrac{12}{37}\Rightarrow a=12,\ c=37[/tex]

Use the Pythagorean theorem.

[tex]a^2+b^2=c^2\\\\12^2+b^2=37^2\\\\144+b^2=1369\qquad|\text{subtract 144 from both sides}\\\\b^2=1225\to b=\sqrt{1225}\\\\b=35[/tex]

Calculate tangent:

[tex]\tan\theta=\dfrac{12}{35}[/tex]

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Because of the slope, we would assume that it is 1/2 because when you use rise over run, the graph rises 1 unit up and shifts 2 units to the right.  The -2 is where the y-intercept is (0, -2) based on the picture seen above.  The slope is also positive where it is going up instead of going down.

Answer:

3

Step-by-step explanation:

The required coordinates of point B are (18, -15) where AB has endpoint A (2,13) and midpoint (10, -1).

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

As per the question, we are given that AB has endpoint A (2,13) and midpoint (10, -1)

We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AB.

Let the coordinates of B would be (x, y)

Substituting the coordinates of points A into the midpoint formula gives us :

10 = (x+2)/2 ; -1 = (y+13)/2

20 = x +2 ; -2 = y + 13

x =  18 ; y = -15

Therefore, the required coordinates of point B are (18, -15).

Learn more about the midpoint here :

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Answer:

1. y=3x

2. y=1x

3. y=7x

4. y=1x+7

5. y=3x-3

6. y=12x+2

Step-by-step explanation:

Hope this helps!

Answer:

70 is the answer

Step-by-step explanation:

ggsgshdghdhdhdhhdhdhdhd

Answer:

70

Step-by-step explanation:

Answer:

it will take him 16 weeks

Step-by-step explanation:

290 subtract 50 equals 240

240 divided by 15 equals 16

Answer:

4.659

Step-by-step explanation:

4.58

+0.079

4.659

Step-by-step explanation:

When dividing or multiplying by a negative number, remember to flip the inequality sign.

-3x < 15

x > -5 (divide -3 on both sides, flip the inequality sign)

The correct options are 2 and 9. (D and E)

Answer:

D. 2

E. 9

Step-by-step explanation:

[tex] - 3x < 15 \\ \\ x > \frac{15}{ - 3} \\ \\ x > - 5 \\ \\ [/tex]

Since x > - 5,

Therefore possible values of x would be 2 and 9 out of the given ones.

Answer:

30

Step-by-step explanation:

Perimeter of rectangle = 5y - 1 + 4y + 2 + 5y - 1 + 4y + 2

                                      = 18y + 2

18y + 2 = 128

18y = 128 - 2

     = 126

y = 126 ÷ 18

y = 7

Length of AD = 4y + 2

                      = 4(7) + 2

                      = 28 + 2

                      = 30

Answer: you need 3/8 buckets of nuts to fill the barrel.

Step-by-step explanation:

I will find the equation and explain it with words at the same time, so it is easier to understand.

We know that:

1/4 buckets of nuts, fills 2/3 of the barrel.

Then we can write the equation:

(1/4) buckets of nuts = (2/3) of the barrel

We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2

(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.

3/8 buckets of nuts = 1 of the barrel.

This means that you need 3/8 buckets of nuts to fill the barrel.

Answer: x=3

Step-by-step explanation:

Isosceles means that both of those sides are equal.

5x = 7x -6

-2x = -6

x = 3

Answer:

x = 3

Step-by-step explanation:

I know because is

7x-6= 5x

then just resolve the equation

Answer:mrs robinson would need total of four buses

Step-by-step explanation:

this is because if you have 135 and you divide it by 42 it gets you 3.2 and you cant have .2 of a bus so you must round up to the nearest whole number which would be 4

The amount he would earn is $490.

Multiplication is the process of determining the product of a number. It is determined by following some mathematical processes. The sign used to represent multiplication is ×.

Commission = 3.5% x $14,000

0.035 x $14,000 = $490

To learn more about multiplication, please check: https://brainly.com/question/13814687

Answer:-5.5

Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5

Answer:

-5.5

Step-by-step explanation:

When you do -5 - 1/2, you get -5.5!