Points A and B are on opposite sides of the Grand Canyon. Point C is 200 yards from A. Angle B
measures 87° and angle C measures 67º. What is the distance between A and B? Round answer to
nearest tenth.

Answers

Answer 1

Answer:

AB = 184.4 yards

Step-by-step explanation:

The description here gives a triangle with two angles and a side. Let the distance between A and B be represented by d. Thus applying the Sine rule, we have;

[tex]\frac{a}{Sin A}[/tex] = [tex]\frac{b}{Sin B}[/tex]

[tex]\frac{200}{Sin 87}[/tex] = [tex]\frac{d}{Sin 67}[/tex]

d = [tex]\frac{200*Sin 67}{Sin 87}[/tex]

  = [tex]\frac{200*0.9205}{0.99863}[/tex]

d = 184.3526

Thus, the distance between points A and B is 184.4 yards

Answer 2

Answer:184.4

Step-by-step explanation:


Related Questions

What is the value of X PLEASE HLEPPP

Answers

Answer:

Using the formula,(x= base×height).

And the formula, (6+6×).

The answer should be: (A) 12

Step-by-step explanation:

Hope this helps! Have a good day/or night!

P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!

The value of x would be A (12)

whats the answer to this please

Answers

bubuoin ba ng salita yan

Austin’s bus arrives at 7:55am if he starts his chores at 7:30 am will he be done in time to meet his bus explain your reasoning answer key

Answers

Answer:

it depends on his chores, how many he has, and how he does them

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

I had the same question his chores only last for 15 minutes so yes he would be done in time

19-3/4n in standard form

Answers

Answer:

So, if you need to convert the fraction into a decimal, 3/4=0.75. So, I think it's 19-0.75 I'm not sure if I'm correct.

Step-by-step explanation:

What distinguishes a market economy from a free-enterprise economy?
A market economy is based on set prices that businesses use to produce goods that consumers need.
A free-enterprise economy allows the government to freely regulate the quantity of items produced as supply decreases in a market economy.
A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money.
In a market economy, the supply and demand of goods is determined by consumers who are free to set their own prices in a free enterprise

Answers

Answer:

Well that question could have multiple answers... one of them being set prices, and money balances. Another being product demand on goods and services. It's really your choice on what you think distinguishes these factors. There's to many opinions on this to just give one answer.

Step-by-step explanation:

Answer: It's C. "A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money." Good Luck!

Step-by-step explanation:

Just took it on edge and have a screenshot

What's the answer???

Answers

Answer:

1/5 or 0.2 (There both the same amount)

Step-by-step explanation:

A ball is thrown directly upward from a height of 5 ft with an initial velocity of 24 ft/sec. The function s(t) = -16t^2+24t+5 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.​

Answers

Answer:

The maximum height is 14 feet and it will take 0.75 s to reach there.

Step-by-step explanation:

A ball is thrown directly upward from a height of 5 ft with an initial velocity of 24 ft/sec.

The function is :

[tex]s(t) = -16t^2+24t+5[/tex] ....(1)

It gives the height of the ball, in feet, t seconds after it has been thrown.

For maximum height,

s'(t) = 0

So,

-32t+24 = 0

t = 0.75 s

It will take 0.75 s to reach the maximum height.

Put t = 0.75 s in equation (1). So,

[tex]s(0.75) = -16(0.75)^2+24(0.75)+5\\\\s=14\ feet[/tex]

So, the maximum height is 14 feet and it will take 0.75 s to reach there.

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The null hypothesis for this ANOVA problem is

Answers

Answer:

H0 : //μA = μB = μC

Step-by-step explanation:

Given the data:

Treatment | Observation

A | 20 | 30 | 25 | 33

B | 22 | 26 | 20 | 28

C | 40 | 30 | 28 | 22

To test whether there is a difference between the group means of a sample ; the ANOVA test is employed ;

The appropriate hypothesis test:

The alternative hypothesis will habour the notion that there is a difference in sample means while the alternative will be opposite, that is, no difference exists in the sample means for the three treatments :

Null hypothesis ; H0 : μA = μB = μC ;

The alternative hypothesis, takes the opposite of the null ;

H1 : μA ≠ μB ≠ μC (this means that the mean values of the treatments are not the same

The null hypothesis will

Solve for x to the nearest degree.

Answers

Answer: 22 degrees

Step-by-step explanation:

[tex]sin^{-1}[/tex]([tex]\frac{7}{19}[/tex])=  21.62 nearest degree= 22

What is the area of ACDE to the nearest whole number?

Area of ACDE =

Answers

Answer:

Step-by-step explanation:

Area of rectangle ABCD = 84.

BC=x

We can use pythagorean to find x. 12^-6^2=c^2

C=6root3

6root3*6/2 = area of triangle ABC

ABC=18root3

Area of ACDE=84-18root3 which equals about 53

Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation

Answers

Answer:

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

Step-by-step explanation:

Given

Variation: Direct from y to x:

[tex]y\ \alpha\ x[/tex]

[tex]y =15; x = 6[/tex]

Required

Write the equation

[tex]y\ \alpha\ x[/tex]

Express as an equation

[tex]y = kx[/tex]

Where k is the constant of variation

Substitute [tex]y =15; x = 6[/tex]

[tex]15 = 6k[/tex]

Solve for k

[tex]k = \frac{15}{6}[/tex]

[tex]k = \frac{5}{2}[/tex]

Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]

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

4 x ? is close to 105

Answers

Do you have a picture to your problem ?
4 x 25 is close to 105
(4 x 25 = 100)

Second term of a geometric series is , the limiting sum is 9.
Get the values of first term a and common ratio r.

Answers

Answer:

The answer is below

Step-by-step explanation:

Second term of a geometric series is 2, the limiting sum is 9.

Get the values of first term a and common ratio r.

Solution:

A geometric series is in the form:

a + ar + ar² + ar³ + . . . + arⁿ ⁻ ¹

Where a is the first term, n is the nth term and r is the second ratio.

Since the second term of the series is 2, hence:

ar⁽² ⁻ ¹⁾ = 2

ar = 2        (1)

Also, the limiting sum is 9, hence:

a/ (1 - r) = 9

a = 9 - 9r     (2)

Substitute a = 9 - 9r in eqn 1:

(9 - 9r)r = 2

9r - 9r² = 2

9r² - 9r + 2 = 0

9r² - 6r - 3r + 2 = 0

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

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

r = 1/3 or r = 2/3

When r = 1/3; a = 9 - 9r = 9 - 9(1/3) = 6

When r = 2/3; a = 9 - 9r = 9 - 9(2/3) =  3

Find the surface area on a pyramid 12cm 7cm 7cm

Answers

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2

Step-by-step explanation:

United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.

Answers

Answer:

uh

Step-by-step explanation:

Classify the following triangle. Check all that apply.

Answers

Answer

C, D

Step-by-step explanation:

It's a right triangle b/c one of the angles are 90 degrees.

It's Isosceles b/c 2 of the sides are the same length.

(Edited) (thank you to the poster of this question for reminding me that right triangles cannot be acute)

sorry if its twisted but i need help in # 3 please :)

Answers

Answer:

knsy standard ka question hy

Step-by-step explanation:

The answers
A. a line with an x-intercept of 3 and a slope of -3/2

B. A line with a Y-intercept of 2 and a slope of 2/3

C. A line with a Y-intercept of 3 and a slope of -2/3

D. Align with a Y-intercept of 2 and a slope of -2/3

Pls help !! :/

Answers

a mañanansnsnsjS2927410

hello trying to find Anokhi44 because the question I was talking to them got deleted soooooo and i can't find them .

2+2=

Answers

Answer:

4

Step-by-step explanation:

That sucks hope you find them.

A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? answer ASAP will give brainliest!!!

Answers

Answer:

85

Step-by-step explanation:

255 ÷ 3 = 85

85×2= 170 This is how much student tickets were sold.

255 - 170= 85

85 adult tickets were sold.

Express using algebra A stick l feet long is broken into 2 parts one of which is twice as long as the other. How long is the shorter piece

Answers

Answer:

20 is the longer piece, and 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9

Help! I don’t know how to work with slopes

Answers

1/3 will be the answer because we go over to the left once and up three times

Please help!


If f(x) is an exponential function where f(- 2.5) = 9 and f(2.5) = 45 , then find the value of f(3.5) , to the nearest hundredth

Answers

The value of g(3.5) is 41.49 to the nearest hundredth

Exponential function

The standard exponential function is given as g(x) = ab^x

If g(-2.5) = 9 and g(2.5) = 45, hence;

9 = ab^-2.5 .............. 1

45 = ab^2.5 .............2

Divide both equations:

9/45 = b^{-2.5-2.5}

1.5 = b^-5

1.5= 1/b^5

b^5 = 0.6666

b = 0.922

Also since 45 = ab^2.5 .

45 = a(0.922)^2.5

45 = 0.81625a

a = 55.13

g(3.5) = 55.13(0.922)^3.5

g(3.5) = 41.49

Hence the value of g(3.5) is 41.49 to the nearest hundredth

Learn more on exponential function here: https://brainly.com/question/12940982

Sketch the graph of y=-2x² + x + 1 using your graphing calculator. What are the x-intercepts of this graph?
a. (1, 0) and (-0.5, 0)
c. There are no x-intercepts
b. (-2.5, 0) and (-2,0)
d. (-1.5, 0) and (-0.5, 0)
Please select the best answer from the choices provided
A
B
0
D

Answers

Answer is going to be A.
The answer to your question is A.

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same position. For example, the Social Security numbers 120-90-1109 and 430-20-5402 have matching zeros.
Prove: Given a collection of 513 Social Security numbers, there must be two that match zeros.

Answers

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

[tex]n = 9[/tex] i.e. the length of each security numbers

[tex]r = 2[/tex] i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

[tex]Total = 2^9[/tex]

[tex]Total = 512[/tex]

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where [tex]n>m[/tex], then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

[tex]512 + 1 = 513[/tex]

What is the 20th term of the arithmetic sequence
3, 9, 15, 21, 27, ...?

Answers

Answer: 117

Step-by-step explanation:

first comment on first response!!! Thank you btwww!

helpppp meeeee plssss i will love u forever

Answers

Answer:

hi

Step-by-step explanation:

-10s=-3-7

-10s=-10

s=1

have a nice day

The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?​

Answers

Answer:

20%

Step-by-step explanation:

You do 3 divided by 15 which is 0.2, or 20 percent.

what is the median of 16, 20, 20, 23, 25, 27, 29, 31, 31, and 32.

Answers

Answer:

27

Step-by-step explanation:

The madian is gis

is 8 a solution to 1/2x+9=13?

Answers

Answer:

yes

Step-by-step explanation:

 solve for x by simplifying both sides of the equation, then isolating the variable.

x = 8

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