Mathematics College

Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)

Answers

Answer 1

Answer:

am i suppoesd to do number 7 as well?

Step-by-step explanation:

Two wires

tether a balloon to the ground, as shown. How

high is the balloon above the ground? (Must Use Right

Triangle Trigonometry)

look at picture

Answer 2

The height of the balloon above the ground is 554 ft.

I have attached a diagram where i have divided the triangle shown into 2.

From the attached image, the third angle in triangle 1 would be;

180 - (90 + 85) = 5°

The supplementary angle in triangle 2 to 85° in triangle 1 is;

180 - 85 = 95°(because supplementary angles add up to 180)

The third angle of triangle 2 is; 180 - (95 + 75) = 10°

If we label the shared slant side between the two triangles as z, the we can use sine rule to find z from triangle 2;

100/sin10 = z/sin 75

z = 100(sin 75)/(sin 10)

Applying trigonometric ratio to triangle 1, we can find h as;

h/z = sin 85

h = z sin 85

h = [100(sin 75)/(sin 10)] × sin 85

h ≈ 554 ft

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Related Questions

Can someone help me please

Answers

Answer:

It's 2/15

Step-by-step explanation:

I need help on dis one

Answers

Answer:

B, C, and D

Step-by-step explanation:

ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer

please help school is literally about to end

Answers

Answer:

192 is the answer

Step-by-step explanation:

Answer:

SA = 272 sq in

Step-by-step explanation:

SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)

= 2(16) + 2(96) + 2(24)

= 32 + 192 + 48

= 272 sq in

Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results

Answers

Answer:

H0 : μ = 18000

H1 : μ < 18000 - - - > Claim

Test value = - 3.578

Critical value = ±2.58

There is significant evidence to accept the claim that mean debt at graduation is less than $18000

Step-by-step explanation:

H0 : μ = 18000

H1 : μ < 18000

From the data:

Sample size, n = 30

Sample mean, x = 16298.37

The test statistic :

(16298.37 - 18000) ÷ (2605/sqrt(30))

−1701.63 / 475.60575

= - 3.578

The critical value :

Using the standard normal table;

Critical value at α = 0.01

Critical value = ±2.58

Decison region :

|test statistic | > |Critical value | ; reject H0

|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000

The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set

Answers

Answer: Your question has some missing data attached below is the missing data

Answer : Mean value is Greater

Step-by-step explanation:

The relative value of the mean for original data set is greater

Relative value of median for original data set is lesser

This is simply because the The distribution is generally skewed to the right ( Right skewed )

The U.S. federal government conducts a survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question; that fifty percent is a: Question 2 options: parameter statistic variable data

Answers

Answer:

statistic

Step-by-step explanation:

Can someone help me with this ?

Answers

use pythagora's theorem to solve it
c^2=a^2+b^2
x^2=(3/4)^2+1^2
x^2=25/16
x= 5/4 = 1 1/4 inch
therefore it is B

it is b
step by step

ANSWERRRRRRRRRRRRRRRRRRRR PLZZZZZZZZZZZZZZzz

Answers

Answer:

-1/3

Step-by-step explanation:

Find two points on the line (0,2) and (3,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

= (1-2)/(3-0)

= -1/3

Answer:

Step-by-step explanation:

1) take two points of the line

A(0,2) ; B(3,1)

2) use this formula for find the slope

Answer:

Step-by-step explanation:

5y+8=-6

-8

5y=-14/5

y=-2.8

Answer:

y = - 2.8

[tex]y=-2\frac{4}{5}[/tex]

Step-by-step explanation:

5y + 8 = - 6

5y + 8 - 8 = - 6 - 8

5y = - 14

5y ÷ 5 = - 14 ÷ 5

y = - 2.8

please help. NO LINKS.

Answers

Answer:

the answer is A

y= 1.9x + 69

y=6x

Is this correct? the question is asking if the triangle would have a right, acute, or obtuse angle.

Answers

Answer:

Acute

Step-by-step explanation:

All triangles have to have a acute or it would be to big

Answer:

yes it is because its a triangle and its acute

Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...

Answers

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

Thus, The answer is 15 ounces

3353 8. A survey showed that 1/3 of the students in the class liked blue 1/4 of the remainder liked red. The remaining 24 students liked yellow. How many students were in the class?

Answers

Answer: there are 48 students in the class

Step-by-step explanation:

let x = the total number of students in the class

1 - 1/3 = 2/3

1/4 * 2/3 = 2/12 = 1/6

1/3x + 1/6x + 24 = x

2/6x + 1/6x + 24 = x

3/6x + 24 = x

1/2x + 24 = x

24 = x - 1/2x

24 = 1/2x

24 * 2 = x

x = 48

there are 48 students in the class

Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).

Answers

Evaporation changes liquid water and even solid water (ice) to water vapor, which is a gas. This all part of the water cycle! Hope this helps!!

Answer:

Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle

Step-by-step explanation:

thank you

if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g

Answers

Answer:

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = x - 4[/tex]

Which value is equivalent to f x g?

We multiply these functions, applying the distributive property. So

[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Given
mZQPS is a straight angle
mZQPR = 72 – 4°
mZRPS = 9x - 40°
Find mZQPR:
P

Answers

9514 1404 393

Answer:

m∠QPR = 94°

Step-by-step explanation:

Given:

m∠QPS = 180°

m∠QPR = 7x -4°

m∠RPS = 9x -40°

Find:

m∠QPR

Solution:

m∠QPR + m∠QPR = 180°

(7x -4°) +(9x -40°) = 180°

16x = 224° . . . . . . . . . . . . . add 44°

x = 14° . . . . . . . . . . . . . divide by 16

m∠QPR = 7x -4° = 7(14°) -4°

m∠QPR = 94°

please help with this

Answers

Answer:

5.5 or simply 6

Step-by-step explanation:

6 = 33

1 = x

6x = 33

x = 5.5 ~6

5.5 or 6
—————————————————————-

Someone please help me!!

For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.

Multiply both sides by 12 to get 2y - 1 = 7

Answers

Answer:

The first choice

Step-by-step explanation:

Multiplyil by 6 to get 4y - 1 =21

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