1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.

Answers

Answer 1

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Answer 2

Answer:

not safe it is 78.5 degrees

Step-by-step explanation:


Related Questions

I need help the area of the triangle is 24 square feet. Hat is the lengths of the base

Answers

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]

hope this helps

Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take

Answers

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]

[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]

Hi please help me with this asap.​

Answers

a. 15% of $20000 is 15/100x20000 = $3000. You therefore get $3000 off the $20000 asking price. $17000

b. VAT is 10%. 10/100x17000 = $1700
You therefore add $1700 to the discounted price of $17000. $18700

c. 15% off the discounted price. 15/100 x17000 = $2550. New discounted price is $17000-2550= $14450.

d. 10% VAT of $14450 is 10/100x$14450 = $1445. Total price after all discounts and VAT is now $14450+$1445 = $15895

A dart board measures 6.5 inches from the very edge to the center of the bullseye


I need help

Answers

Answer:

a is the wrong answer

Step-by-step explanation:

the area of the circle is 40.8407 in^2

What’s the least common factor of two and six

Answers

Answer:

6

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 6

Explanation: least common multiple

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

levi was designing a kite. he needs to determine the measure of

Answers

he needs to determine the measure of the kite?

The measure of angle A is 86.

What is a kite?

A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.

We have,

From the figure,

We see that,

6x + 4 + ∠A = 180

Now,

∠A = 4x + 26

So,

6x + 4 + 4x + 26 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Now,

∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86

Thus,

The measure of angle A is 86.

Learn more about kite here:

https://brainly.com/question/31239785

#SPJ3

The complete question:

Levi was designing a kite. he needs to determine the measure of angle A.

Someone please help me, i will give brainliest
Enter the decimal equivalent of 11/8

Answers

Answer:

1.37

Step-by-step explanation:

I just used my calculator lol

Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).

Answers

Answer:

19  

Use the given functions to set up and simplify

Describe the graph of y=-x and compare it with the graph of y = x

Answers

Y=-x is a negative slope starting from the left of the graph and going downwards by one. Y=x is a positive slope that goes up from left to right by one.

how does 3.1416 come​

Answers

Answer:

It is the value of pie(22/7)

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Answers

Answer:

7/20

Step-by-step explanation:

You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.

Please help me ASAP
Please help

Answers

Answer:

5 X 4

Step-by-step explanation:

If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.

Hope this helped!!

You randomly pick a nut from a can of mixed nuts 20 times
and record the results: 5 almonds, 6 peanuts, 2 hazelnuts,
3 pecans, and 4 cashews. Find the experimental probability
of the event.
1. Choosing an almond
2. Choosing a peanut
3. Choosing a peanut or cashew
4. Choosing not an almond
6. Choosing a walnut
5. Choosing not a peanut

Answers

Answer:

you have the highest chance of getting peanuts

x^2+ 3 has a value of 28. What term in the sequence has a value of 28?

Answers

Answer:

5th term

Step-by-step explanation:

x^2 +3 = 28

Subtract 3 from each side

x^2+3-3 =28-3

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

(x could be -5, but there are not usually negative terms in a sequence)

Answer:

The value of X1 is -5, X2 is +5.

A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.

Answers

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

What is the value of y?

Answers

Answer:

-1

Step-by-step explanation:

Please help me !!!!!!!!!!!!!!!!!!!

Answers

Answer:

5) arccos A = 28°

6) arcsin A = 53°

Step-by-step explanation:

5) cos A = 30/34

6) sin A = 32/40

5)

For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).

In this case,

cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17

6)

For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.

In this case,

sin(A) = opposite / hypotenuse = 32 / 40 = 4/5

A way to remember sine, cosine, and tangent is SOHCAHTOA, where

SOH is Sine = Opposite / Hypotenuse

CAH is Cosine = Adjacent / Hypotenuse

TOA is Tangent = Opposite / Adjacent

Is the solution greater than, less than, or equal to 29?

4(5 + 6) - 15

Answers

Answer:

Step-by-step explanation:

4(5 +6) - 15

4(11) - 15

= 44 - 15

= 25

The solution is equal to 29

Answer:

[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]

It's Equal to 29

20 baseballs pitched he hit 17. What %did TJ hit

Answers

Percent part
100 Whole

x 17
100 20

(100*17)/20
1700/20
=85 percent

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in​ bonds

Answers

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

2x +1=x+3 plzzz give the answer

Answers

Answer:

x=2

Step-by-step explanation:

Because you Subtract 1 from both sides of the equation

and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2

Here you go, that’s how you do it :)

Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters

Answers

Answer:

i

Step-by-step explanation:

dont know

The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?​

Answers

Answer:

2014 price was $49,091

Step-by-step explanation:

I'm assuming you want to solve for 2014 year price...

2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...

p×110%=54,000

p=54,000/1.1

p=49,090.90

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Answers

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.

Answers

Answer:12/50 * x/588

Step-by-step explanation:= 141.12

588 - 141.12 = 446.88

I would expect 447 students to prefer Coke.

Hope this helps

ASAP ASAP ASAP ASAP please please help ASAP ASAP please please ASAP ASAP please ASAP help please please ASAP please

Answers

Step-by-step explanation:

The lateral area is

[tex]42\pi[/tex]

The surface area is

[tex]60\pi[/tex]

The volume is

[tex]63\pi[/tex]

Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?

Answers

Firstly, solve 38C15.

Then solve 42C12.

Compare your answers.

The goal here is to see if 38C15 = 42C12.

Here is the formula:

nCr = n!/(r!(n - r)!

Go for it.

Johnny buys a desk on sale for $300.00. If the regular price
is $450.00, what is the percent of discount?

Answers

Answer: 33.33%

This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150

Simplify the radical

Answers

Answer:

4

Step-by-step explanation:

4 to the 4th power is 256

please help im stuck on this​

Answers

-7 is the slope I think
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