A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground

Answers

Answer 1

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°


Related Questions

Find the 98th term of the arithmetic sequence 14, 10, 6,

Answers

-374

y = -4x + 14
97 x -4 = -388
-388 + 14 = -374


The required 98th term of the arithmetic progression is -374.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values.

Here,
Given sequence,
14, 10, 6,

First term,
a = 14,
common difference d = 10 - 14 = -4

Explicit formula,
nth term = a + (n -1)d
98th term = 14 + (98 - 1)(-4)
98th term = 14 + 97 (-4)
98th term =  -374

Thus, the required 98th term of the arithmetic progression is -374.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

one number is 15 more than a second number.The sum of the number 115. What are the numbers?

Answers

The first number is 65
The second number is 50

X= first number
Y= second number

X+Y= 115 > or 2y+15= 115 > subtract 15 from both side

2y= 100> divide by 2 on each side> y=50

There you have solved for y, now solve x

X= 50+15 > which is 65

So therefore, the first number is 65 and the second is 50.

What is the number for pi?​

Answers

Answer:

the answer is 3.1415926535

Step-by-step explanation: I hope some of this helps I didn't know how many numbers you needed

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 or just 3.14 (talk about memory )

Step-by-step explanation:

Solve the equation.
9x=25

Answers

Answer:

[tex]x = \frac{25}{9}[/tex]

Step-by-step explanation:

Divide both sides by 9 to isolate x:

[tex]\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\[/tex]

Hope this helps!

write a real world problem that can be solved using the distance formula

Answers

A bus traveling at an average rate of 50 kilometers per hour made the trip to town in 6 hours. If it had traveled at 45 kilometers per hour, how many more minutes would it have taken to make the trip?

(The formula for distance problems is: distance = rate × time or

d = r × t)

On Monday, 217 students went on a trip to the zoo. All 4 buses were filled and 9 students had to travel in cars. How many students were in each bus ?​

Answers

you need to divide so you you’ll divide 217 by 4

Find the value of 4b for b = 1/2.

Answers

Answer:

Your answer for when b = 1/2 is 2.

Step-by-step explanation:

4*1/2

Hope this helps!

Answer:

2

Step-by-step explanation:

4b ; b=1/2

4(1/2)

2

3.7 - 1.8 - 3.67 + 4.4 - 1.34

Answers

Answer:

1.29

Step-by-step explanation:

Your answer is : 1.29

PLEASE HELP, THE ONES THAT ARE IN GRAY ARE THE ANSWER CHOICES.

Answers

Answer:

C.140

Step-by-step explanation:

If half of the circle equals 70 students. Then one half of that would be 35 students. Since there are 2 sections that are 25% each piece is equal to 35 students. If we add the total number of students together. (70+35+35) We get 140 students.

HELP ASAP. A cargo plane and a private jet leave at the same time from the same airport traveling in opposite directions. The jet travels at twice the speed of the cargo plane. They are 2,400 miles apart in 4 hours. Find the speed of the cargo plane and the jet plane.
////////////////Rate Time Distance
Cargo

___________________________

Jet

Answers

600 miles in a hour then just look up how fast that is cause 2,400 divided in 4 hours is 600

Can someone round this number to the nearest tenth and explain clearly I’ll mark you Brainiest if you can explain in an image ;)

Answers

Find the number in the tenth place (7) and look one place to the right for the rounding digit (5). Round this up if the number is greater or equal to 5 and round down if it is less than 5.

Answer: 37.8

how would you solve this, need help

Answers

ok umm i fell asleep bye

Answer:1,829

Step-by-step explanation:

Solve each compound inequality -10-2v<6and6v+12<-6

Answers

Answer:

v>-8 ; v<−3

Step-by-step explanation:

−10−2v<6

Step 1: Simplify both sides of the inequality.

−2v−10<6

Step 2: Add 10 to both sides.

−2v−10+10<6+10

−2v<16

Step 3: Divide both sides by -2.

−2v/−2 < 16/−2

v>−8

6v+12<−6

Step 1: Subtract 12 from both sides.

6v+12−12<−6−12

6v<−18

Step 2: Divide both sides by 6.

6v

6

<

−18

6

v<−3

The first picture I sent ( the one which is from -8 to 14) is for −10−2v<6 and the second one (that has -3 to -9) is for 6v+12<−6

I hope this helped :)

- 2/3+ 1/3 helpppp lol

Answers

-0.33333333333

Step-by-step explanation:

23+13 = ?

The two fractions already have like denominators, so just add the numerators:

-23+13=-2 + 13=-13

The result is:

-23+13=–13

Answer:

-2/3 + 1/3 = -1/3

Step-by-step explanation:

using addition to solve a fraction with the same base

step 1: take the denominator of both fractions and clear them from the equation

ex: -2/3 + 1/3 = ?   (-2 + 1 = ?)

step 2: solve the new equation -2 + 1 to get your answer of

ex: -2 + 1 = ?   (-2 + 1 = -1)

step 3: since both denominators of the fractions have the same number then our answer will also have a denominator of 3 giving us the answer to the problem -2/3 + 1/3 = ? is -1/3

plz give brain if this helps and is correct. thx

Mario needs to cut 3 bookshelves from a board that is 10 feet long.
The 2nd shelf is 1 foot longer than twice the length of the first shelf.
The remaining shelf is 5 feet longer than the first shelf. If x = length of
the first shelf, write an algebraic equation & solve to find the length of
all three shelves.

Answers

Answer:

1

Step-by-step explanation:

Yeah so that the answer just cause I am nice i will say it again 1

Evaluate the function.
g(x) = 3.22 – 2x + 5
Find f(2)

Answers

Answer:

[tex]g(x) = 3 {x}^{2} - 2x + 5 \\ g(2) = 3 {(2)}^{2} - 2(2) + 5 \\ g(2) = 12 - 4 + 5 \\ \boxed{g(2) = 13}[/tex]

g(2) = 13 is the right answer.

What do I do here ???

Answers

Answer: You ask others to complete your homework and then you give them a thanks and copy and paste their answer.

If the logarithmic regression model for a set of data is y = 2 + In x. What is the residual for the data value (2,4)?​

Answers

Answer: 4,2
Explanation: 4 is opposite

If you do not know it plz do not answer

Maya drove 440 miles using 16 gallons of gas. At this rate, how many miles would she drive using 14 gallons of gas?

Thanks

Answers

385 miles

Step-by-step explanation:

440/16 = x/14

16x = 440 × 14

16x = 6,160

x = 6,160/16

x = 385 miles

A number that is a factor of 2 or more numbers is called a ______ of those number

Answers

Answer:

Composite

Step-by-step explanation:

A composite number is a number with 2 or more factors while a prime number is a number with only 2 factors.

Answer:

composite number.

Step-by-step explanation:

The sum of two unknown numbers is equal to -34

Please write this into an equation! :)

Answers

Answer:

a+b=-34

Step-by-step explanation:

a and b represent the two unknown numbers, which we know to sum to -34

Y- -7= -1(x-1)
What is this written in slope intercept form

Answers

Answer:

Y= - x - 6

Step-by-step explanation:

Choose the two numbers that are rational.

A)

V122

B)

22

8

thing

Elin

V

224

14

D)

Na

E)

24

11

Answers

snap the question to me personally

I don't understand your typing

I am mubarakamasa

What is negative 9 divided by 2?

Answers

9 divided by 2 is 4.5

Answer:

-[tex]\frac{9}{2}[/tex] = -4.5

Step-by-step explanation:

-9 ÷ 2

Fraction [tex]\frac{-9}{2}[/tex] can be written as [tex]-\frac{9}{2}[/tex] by extracting the negative sign.

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

Factor:

[tex]\frac{(-1)x3^{2} }{2}[/tex] = -4.5

At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that
each cost the same amount, but each was $1.50 less than the items that Beast Boy bought. Both Beast Boy
and Cyborg paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Beast Boy's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) What was the individual cost of each person's items? State the solution in complete sentences.

Answers

Answer:

slow down plz

Step-by-step explanation:

there ain't no way that is ur work

Helppppp plzzzzzzzzzzz

Answers

So how you can solve this is by using some cool tricks.

Look at the end number of computers, which is 40 right?
So with the total number of 40, you will simply subtract 10 and 5, to get the missing number.
Which is 40-10-5= 25

Then for printers you would do, 8-2= 6
Then by filling in the first blank you can move into the second blank by adding up all the three numbers you now have,
8+2+6= 16

. Imagine you are a restaurant owner. You are trying to set the menu price for the seared scallops with rice and mango salsa. Your item food cost is $6.78 and you set your food cost percentage to 33%. What would you set the price to be on the menu? *
1 point
$16
$18
$20
$21

Answers

The price of the food on the menu will be set at $21.

Cost of food item = $6.78

Food cost percentage = 33%

Let the price on the menu be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

= 33% × x = $6.78

33/100 × x = $6.78

0.33 × x = $6.78

0.33x = $6.78

x = $6.78/0.33

x = $20.54

x = $21 approximately

Therefore, the price of the food on the menu will be set at $21.

Read related link on:

https://brainly.com/question/25011160

Lindsey spent a total of $47 on her mother for her birthday. She bought a $35 box of chocolates and
some balloons for $4 each. What is x, the number of balloons that Lindsey bought for her mother's
birthday?

This is the math problem
35+4x=47

Explain why is correct the word problem

Answers

Answer:

3 ballons

Step-by-step explanation:

47-35=12

4x3=12

help please i dont know what to do​

Answers

okay so for the first one it's 3b-16

but when you see b=8 you would rewrite it as 3×8- 16 and once you do that you should have the answers you do the same thing for the rest of them :)

All you do is replace the a’s and b’s in the expressions with the values they give you.

For example, for 3b - 16, you put 3(8) - 16 because they state that b = 8.

Message me if you need more help

Question 11 of 40
Solve the inequality.
4x < 20
A. X> 5
B. x < 5
C. x < 80
D. X> 80

I know it’s 5 just which way is the sign supposed to point?

Answers

Answer:

b

Step-by-step explanation:

4x<20

4/4 x < 20/4

x<5

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