A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 60º with the ground. Which statements are correct?
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°

Answer:

itll be number 2

Step-by-step explanation:

Answer:

8 I thing is correct so check well you will get the correct answer

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Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

Answer:

22.4cm

Step-by-step explanation:

The formula for the diagonal is:

[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]

Where:

l is the length (AB, CD)

b is the width (BC, AD)

h is the height (AE, BF, CG, DH)

We know d, l, b and we can calculate h

[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]

We evaluate both sides to ² to remove the square root:

[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]

[tex]625 = 164 + h {}^{2} [/tex]

To find the value of h we have to do the square root, as it is to the ²:

[tex] \sqrt{625 - 124} = h[/tex]

[tex] \sqrt{501} = h = 22.4cm[/tex]

Solution: ($29990)*(0.065) = $1949.35.

Answer: The sales tax is $1949.35 and the total cost is $29,990.00 + $1949.35 = $31,939.35.

Hi,

if c = 8 and d = -5:

3*(c + d) <=> 3*(8 + (-5))

= 3*(8 - 5)

= 3*3

= 9

✅^_^

Answer:

y = 1/2x + 2.

Step-by-step explanation:

It passes through the points (-4, 0) and (2,3) so

the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.

Using the point slope form of a straight line:

y - y1 = m(x - x1):

y - 3 = 1/2(x - 2)

y = 1/2x - 1 + 3

y = 1/2x + 2 is the required equation.

Answer:

Pretty sure the domain for this is all positive numbers and range is all positive numbers over 1.

Step-by-step explanation:

domain refers to x values.

range refers to y values.

Answer:

$0.35

Step-by-step explanation:

A gallon is equal to 16 cups, so the 3-gallon jug is equal to 48 cups. You when then divide $16.80 by 48, to get $0.35 or the price per cup! Hope this helps :)

Answer:

0.35

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

Answer:

a and b

Step-by-step explanation:

Answer:

........................

Answer:

36.87 degrees

Step-by-step explanation:

Use the law of sines

sin(90)/70 = sin(x)/42

Multiply each side by 42

42 * sin(90)/70 = sin(x)

use a calculator to get 0.6

Use inverse sin to find angle sin^-1 = 0.6

The angle is approximately 36.87 degrees

600 x 0.60 = 360 pounds

360 /0.72 = 500

He got $500

Answer:

$378.20

Step-by-step explanation:

9455 * .04 = $378.20

Answer:

8.58 billion people

Step-by-step explanation:

7.8

1.1

78

78

858 place the decimal where it should be to get 8.58

Answer:

$3.30

Step-by-step explanation:

1 kg = 1000 g

therefore, 150 g = 0.15 kg

multiply the cost by the amount

22 x 0.15 = 3.3, or $3.30

Answer:

To be congruent at b. no. UV= VK,V=V,UW=KM.

To be congruent at C no. M=S,LM=ST,LK=TU.

Answers:

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]

[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]

[tex]\\ \tt\Rrightarrow 11x=33[/tex]

[tex]\\ \tt\Rrightarrow x=3[/tex]

Answer:

Slope: -1

y intercept: -3

equation: y=-1x-3

Step-by-step explanation:

The y intercept is when x is zero.

Answer:

1.8 m^3

Step-by-step explanation:

We just have to multiply the lenghts, but careful: the height is in cm. 100 cm = 1 m. Therefore 150cm = 1,5m.

V = 1.2 m * 1m * 1.5m = 1.8 m^3

Step-by-step explanation:

[tex]thanks \: you \: the \: point \\ pls \: follow \: me[/tex]

Erica used 50 pounds of type B coffee

Let the number of pounds of type A coffee be A

Let the number of pounds of type B coffee be B

Total number of pounds = 123

A   +  B   =   123.........................................(1)

Cost of 1 pound of type A coffee = $5.95

Cost of 1 pound of type B coffee = $4.40

Total cost = $654.35

5.95A  +  4.40B = 654.35..........................(2)

Make A the subject of the formula in equation (1)

A  =  123  -   B........................(3)

Substitute equation (3) into equation (2)

5.95(123 - B)  +  4.40B  =  654.35

731.85  -  5.95B  +  4.40B  =  654.35

5.95B  -  4.40B  =  731.85 - 654.35

1.55B   =   77.5

B   =  77.5/1.55

B   =   50

Erica used 50 pounds of type B coffee

Learn more on system of equations here here: https://brainly.com/question/13729904

Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

Answer:

4,756.66 seconds or 1.321 hours

Here's how I got that:

- Simply use time formula and plug in what you know -

                         t = distance/speed

                                         ↓

              1,427,000,000,000/300000000

                                         ↓

                                t = 4,756.66

~That's all folks~

-Siascon

Answer:

Step-by-step explanation:

Not necessarily.

For example 2 games could have the score 3-1 and 3-2.

This is a one-to-many mapping which is not a function.