An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?​

Answers

Answer 1

Answer:

17 ft

Step-by-step explanation:

An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?​

We solve the above question using the Trigonometric function of Sine

sine theta = Opposite/Hypotenuse

theta = Angle of elevation = 70°

Hypotenuse =Length of the ladder = 18ft

Opposite = Height of the wall = x

Therefore

sin 70 = x/ 18 ft

Cross Multiply

x = sin 70 × 18 ft

x = 16.914467174 ft

Approximately = 17 ft


Related Questions

simplify this answer pls

Answers

Answer:

D

Step-by-step explanation:

when it's a power of the power we multiply the powers to get a single value for the power.

(6^(1/4))^4=6^(4*(1/4)) (4*(1/4)=1)

=6^1=6

so the answer is D

PLEASE HELP! What is the ratio of the volumes of two spheres, if the ratio of their radii is 13: 9

Answers

Answer:

[tex] V_1 : V_2= 2197 : 729[/tex]

Step-by-step explanation:

Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.

[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)

[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]

From equations (1) & (2), we have:

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]

[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

Answer:

2197:729

hope it helps

please mark brainliest

Graph the line with slope 3 and intercept 1 X​

Answers

Plot a point at (0,-1)
Then from that point, go down 3 points, and to the right one point. Repeat that until you hit the bottom of the graph or run out of room. From the first point (0,-1), go up 3 and to the left 1 until you run out of room on the graph. Should be a straight line

A triangle has sides with lengths of 14 feet, 48 feet, and 50 feet. Is it a right triangle?

Answers

Answer:

Yes, it is a right triangle

Step-by-step explanation:

Answer: Yes it is

Note that a right triangle is a triangle with a right angle.

Decide whether the given expression is a polynomial and tell why or why not.





5. 3x2 – 5x + 2

Answers

Answer:

3x² – 5x + 2 is a polynomial because:

Exponents are whole numbers, and the expression has at least 1 term.

Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.

LEGIT BEG PLEASE HELP

Answers

Answer:

help with what problem?

Step-by-step explanation:

Answer:

Sure

Step-by-step explanation:

Adrian can purchase an 11-pound item from several different sellers. Which is the best buy?
1. Buy online for $50 plus pay shipping and handling costs of $0.89 per pound.
2. Buy online for $57 plus pay shipping and handling costs of $0.49 per pound.
3. But at a local store where the price is $60 and use a $5-off coupon.
4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Answers

Answer:

4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Step-by-step explanation:

For the sake of someone needing help present time this is how you do it;

1st- 50 + (.89 x 11) = 59.79

2nd- 57 + (.49 x 11) = 62.39

3rd- 60 - 5 = 55

4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer

What is the median amount of water (in ounces) that Mindy drank per day

Answers

Answer:

i need the rest of the problem to figure it out sorry

Step-by-step explanation:

Answer:

60 ounces

Step-by-step explanation:

got i t on edmentum

Please Help, GodBless

Answers

Answer:

-3/2

Step-by-step explanation:

The rate of change is the same as slope

Write a question that matches this equation:


45-n=15

Answers

Answer:

ayla had 45 cupcakes for the class jayla gave a number out to the cladd Jayla took 15 cupcakes back home what is the does n equal to

Finish the song:
Good little girl....
Always picking a fight with me~
You know that I'm bad!
But you're spending the night with me....
What do you want from my world?
You're a good little girl♪♪♪

Answers

Answer:

Bad little boy

That's what you're acting like

I really don't buy

That you're that kind of guy

And if you are

Why do you want to hang out with me?

Step-by-step explanation:

i had to look in the internet hehe click the ❤️

please

HELPPP PLEASEEEE
enter the value that makes the equation 1/4(12x-8)+2x=-17

Answers

Answer:

x = -3

Step-by-step explanation:

1/4(12x - 8) + 2x = -17

3x - 2 + 2x = -17

3x + 2x = -17 + 2

5x = -15

5x ÷ 5 = -15 ÷ 5

x = -3

11. Michelle used place value to multiply 4,126 and 87. Which is not a step that Michelle could have
taken in her work?
A Multiply 4,126 x 7
B. Multiply 4,126x8
C. Multiply 4,126 x 8 tens
D. Add 28.882 330,080

Answers

Answer:

b

Step-by-step explanation:

B is the correct answer

Explain why this is wrong:
(Student's Solution): "Factor the polynomial"
y^2-6y+9=y^2-2(y)(3)+3^2 = (y-3)(y+3)
Note: Please help, I have been working on this for like 4 days im so tired.

Answers

Answer:

See below.

Step-by-step explanation:

y^2 - 6y + 9 can be changed correctly into y^2 - 2(y)(3) + 3^2.

Up to here, it's correct.

The right side above shows a polynomial that is the square of a binomial.

It factors into (y - 3)^2.

The correct factorization is (y - 3)^2.

The incorrect factorization of the student's solution is the product of a sum and difference.

The product of a sum and a difference is the correct factorization for a difference of squares.

For example, y^2 - 9 is the same as y^2 - 3^2 and is a difference of squares.

It factors into (y + 3)(y - 3), a product of a sum and a difference.

not sure how to do this. need help

Answers

Answer:

a) 25/2 or 12.5

b) 78,125

c) 625

d) 30,517,578,125

Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total
order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price
she paid for the shirt (including the cost of shipping).
For what price does she sell each T-shirt?

Answers

Answer:

$7.35

Step-by-step explanation:

We have 200 shirts

Cost $2.80 each

plus a 5% charge for shipping.

Selling price

150% markup

Recall when we use percentages, we need to express them as decimals.

Michelle's cost for each shirt was

2.80 (1.05) = 2.94

The markup is

2.94 (1.50) = 4.41

The markup is added to the cost to get the final selling price.

2.94 + 4.41 = $7.35

Michelle will sell each shirt for $7.35

9. a) Why does every pair of whole
a
numbers have a GCF of 1 or greater?​

Answers

Answer:

A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.

Step-by-step explanation:

Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save.

225.90 less-than-or-equal-to 122.35 + a. 225.90 minus 122.35 less-than-or-equal-to 122.35 minus 122.35 + a. 103.55 less-than-or-equal-to a.

Vince says that based on the solution, he should save a maximum of $103.55.

Is Vince correct?
Vince is correct because he found the correct solution to the inequality.
Vince is correct because he should save at least $103.55.
Vince is not correct because he wrote the wrong inequality to represent the situation.
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Answers

Answer:

Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Step-by-step explanation:my

my sister which is in college helped me with one.

Answer: its D

Step-by-step explanation:

i’ll give brainliest (worth 15 pts)

Answers

Answer:

48

Step-by-step explanation:

( it might be wrong pls dont report me just let me kno y its wrong )

Greyson and Preston have a piece of paper that is 10 inches by 9 inches. What is the area of the paper?

Answers

Answer:

90

Step-by-step explanation:

What is the measure of the other acute angle ?

Answers

The measure is 61 degrees

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

If Then proof has been explained below!

Step-by-step explanation:

1.) If segment XY ║ ZW, then the 154° angle ≅ ∠2 (vertical angles)

2.) If segment XY ║ ZW, then ∠2 is complementary to ∠4

3.) If ∠2 is complementary to ∠4, then ∠4 = 28°

I hope this helps! If you have any questions, feel free to add it into the comments and please rate my answer and consider marking as brainliest!

54 out of the 72 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in The meeting were first-year Teachers? ​

Answers

Answer:

75%

Step-by-step explanation:

54/72 = 0.75

Instructions: Write the equation of the line in Point-Slope Form given the information below. Hint: The y-intercept is the
coordinate point (0,b)

Slope= -6/5
Y-Intercept = 2
Point-Slope Form:

Answers

Answer:

          y - 2 = -⁶/₅x

Step-by-step explanation:

The point-slope form of the equation of the line passing point (x₁, y₁) and with the slope of m is:  y - y₁ = m(x - x₁)

m = -⁶/₅

Y-Intercept = 2  ⇒  point (0, 2)  ⇒  x₁ = 0,  y₁ = 2

Point-Slope Form:    y - 2 = -⁶/₅(x - 0)

how do I write an equation for a quadratic function represented by a table ?​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Firstly,select three ordered pairs from the table. Secondly,substitute the first pair of values in to the form of the quadratic equation: f(x) = ax^2 + bx + c and then solve for a.

hope this helps,have a great day!!

~Pinky~

QUICK
Your bank offers 6 percent annual interest, compounded monthly. If you start with $500 in your account, how much will you have after 3 months?

Answers

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

need help with this one also

Answers

Answer:

scale factor 3 is the answer.

Step-by-step explanation:

Length = 18 in

Breadth = 3 in

height = 10 in

Volume of cuboid = l × b × h

V = 18 × 3 × 10

V = 540 in³

540 in³ is the original volume. The volume needs to be tripled, so multiply the original volume with 3

V = 540 × 3 = 1620 in³

∴ 1620 in³ will be the new volume if it's tripled and the scale factor is 3.


Does anyone know this

Answers

Answer:

I belive the answer is A

Step-by-step explanation:

So any answer with 22t would make sense, so you have A and C. In C though, it is subtracting 22, but since 6195 is the total it would have to include the 22 so it is A.

what’s 741.38 to five decimal places?

Answers

Answer:

Step-by-step explanation:

If you're referring to moving the decimal point five places to the left, your answer should be

.0074138

If you're referring to the right, your answer should be

74138000.

Find the area of the figure.

Answers

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]

Area of Quarter- Circle = 1/4 x Area of Circle

[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]

Area of Rectangle at the right = Length x Width

[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]

Total Area = Area of 2 Rectangles + Area of Quarter Circle

[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

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