1 point
1.
Joe stands at the top of a cliff and looks down at a 49-degree angle
of depression at a boulder that is 17 m away from the bottom of the cliff.
How tall is the cliff?
11.2 m
14.8 m
19.6 m
25.9 m​

Answers

Answer 1

Answer:

Step-by-step explanation:

tan49=h/17

h=17tan49

h=19.6 m

Answer 2

The height of the cliff is 19.6 m tall

A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.

Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.

Let h represent the height of the cliff. Let θ = 90 - 49 = 41°. Hence:

tan(41) = 17/h

h = 17 / tan(41) = 19.6 m

Therefore the cliff is 19.6 m tall

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Related Questions

Find the radius x of OC.
a) 4
b) 6
c) 12
d) 12.8

Answers

Answer:

the correct answer is 6..... option b

The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5

Answers

Slope is 10 and y-intercept is 15

???????......????...??..??…??..?.?.?..​

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?​

Answers

Answer:

height = 6

volume = 60 in³

Hope this helps!

Answer:

Height = 4

Volume = 48 units ^3

Step-by-step explanation:

Mr.Rios took his family to dinner the food amounted to $75.00 the restaurant also charges a %4 tax because the service was great he decided to leave the server an 18% tip

Answers

Answer:

what is your question

Step-by-step explanation:

38 is 90 percent of what

Answers

Answer:

42.22 (2 repeating)

Step-by-step explanation:

When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.

Starting with the most basic equation,

Percent * Base = Amount

In this problem, you are given the amount (38) and the percent (90)

So to find the base, you can do

Base = Amount / Percent

As always, convert the percent to a decimal by dividing by 100.

38/ 0.9 = 42.222 repeating

Answer:

38 is 90 Percent of What Number?

42.22

Step-by-step explanation:

Please Help!! Brainliest Answer! Thank you!

Answers

Answer:

D. 157.5

Step-by-step explanation:

Formual for sum of interior angles

(n-2)*180

so 14*180=2520

but that is the sum

divide that by 16 (2520/16) = 157.5

157.7 because if u do work smart you will get that answer

A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?

Answers

[Aforementioned Text Is Unavailable, Please Try Again Later]

Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.

Answers

Answer:

Step-by-step explanation:


What is the slope of the line?
What is the y-intercept?
Write the equation of the line

Answers

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

Choose the country which helped India to set up Bhilai Iron and Steel plant in 1959.
a) United States of America

b) Soviet Union

c) Japan

d) France

Answers

Soviet union, union of Soviet socialist republic

Carmen needed 23 of a yard of fabric to make a shirt and a 12 yard of fabric to make a matching skirt. How much total fabric did Carmen need to buy? 1 yard of fabric 1 yard of fabric 34 yard of fabric , 3 fourths, yard of fabric 116 yards of fabric , 1 and 1 sixth, yards of fabric 56 yard of fabric

Answers

Answer:

38/3 yards

Step-by-step explanation:

Given that,

Fabric required to make a shirt = 2/3 of a yard

Fabric required to make a skirt = 12 yards

Total fabric needed,

[tex]x=\dfrac{2}{3}+12\\\\=\dfrac{38}{3}\ yards[/tex]

Hence, 38/3 yards of fabric is needed.

what is the surface area of the figure?

Answers

Answer:

96

Step-by-step explanation:

first off you know that it is a square pyramid, so you can assume that all base lengths are 6.

i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory

next, we have to find the 4 triangles

we know that they are 5 by 6 but you have to divide them by 2

so 30/2=15 and there are 4 of them

15*4=60

now add together 60 and 36 and you get 96

hope this helps!

Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40

Answers

Answer:

A. $3.96

Step-by-step explanation:

$2.20 × 1.8 pounds = $3.96

solve for slope y intercept and the equation please ​

Answers

Answer:

y=x-5 slope=1 y-intercept=-5

Step-by-step explanation:


Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].

In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!

PLEASE HELP URGENT WILL MARK BRAINLIEST

Solve System by writing the system of Linear equations Jason reached into his pocket and pulled out 13 coins and noticed he only had quarters and dimes. If the value of the coins was $2.65 how many quarters did he have?

Answers

Answer:

he had nine quarters and four dimes

answer:
90 quarters and four dimes

Find all numbers whose absolute value is -7. If there is more than one, separate them with commas.

Answers

Absolute Value Is ALWAYS Positive. Therefore, the answer should be none.
None

Cause the absolute value doesn’t equal to negative number

Find the amount and compound interest on 5000 at 6% per annum for 3 years annual

Answers

Answer:

The amount is 5,955.08

Step-by-step explanation:

Here, we want to calculate compound interest

We can find this by using the compound interest formula

A = P( 1 + r/n)^nt

A is amount

P

is the principal = 5,000

r is the interest rate = 6% = 6/100 = 0.06

n is the number of times per year in which the interest is compounded = 1

t is the number of years = 3

Substituting these values;

A = 5,000(1 + 0.06/1)^3(1)

A = 5000(1.06)^3

A = 5,955.08

Which is larger, 9 kilograms or 8,500 grams?

Answers

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.

TRANSLATIONS on the coordinate plane plz help me​

Answers

here use this bud figure it it out

A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J

Answers

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

What is b PLSSSS ANSWER
WILL GIVE BRAINLIEST

Answers

Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50

Step-by-step explanation:



please help me this is all my grade!!!!

Answers

We need to know the options

If your driving 60miles an hour and you drive for 1hour how far do you travel?​

Answers

Answer:

60 miles

Step-by-step explanation:

1 hour=60 miles

1 hour=60 miles

To solve this problem, we’ll utilize the “time-speed-distance” relationship which is expressed by the formula d = rt, i.e., distance d is equal to speed r multiplied by time t.

The given information in this problem gives us: the speed of r = 60 mi/hr traveled over a distance of 1 mile. We need to find how much time, t, it took to travel a distance d of 1 mile at a speed r = 60 mi/hr, that is:

d/r = t or

t = d/r

Substituting the known values for d and r into the above equation, we have:

t = 1 mi./(60 mi/hr)

t = (1/60) hr.

t = (1/60) hr. (1)

t = (1/60) hr. (60 min./1 hr.)

t = (1/60)(60/1) min.

t = 1 minute ( or 60 seconds) to travel 1 mile at a speed of 60 miles per hour.

18% as a fraction in its simplest form

Answers

Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

If in a stick of chalk, 3 gram is carbon, what is the weight of the chalk piece?

Answers

Answer: . Hence the weight of chalk stick is 25 g

Step-by-step explanation: Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g. Hence the weight of chalk stick is 25 g

what is the common ratio? {250, 50, 10, 2...}

Answers

Answer:

5

Step-by-step explanation:

The common ration can be found by dividing the 2nd number from the 1st number:

250 / 50

which equals 5

250 / 50 = 5

         you can do this by any number, for example:

         50 / 10 =5

         10 / 2 = 5

Can someone please check my answer?!

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I think that’s the correct one:)

Can someone help me ASAP

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You have to circle 4 equations to answer like group -2 3 and -1 and 6
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