help me! 50 points and brainlyist
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 55°. Will the ladder be safe the way it is positioned? Explain.

Help Me! 50 Points And BrainlyistA Fireman Needs To Get Water To A Second-floor Fire. His Ladder Is 33

Answers

Answer 1

Answer: (a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ft

sin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.


Related Questions

3.
Find the value of x, rounded to the nearest tenth.

31.8

10.3

10.7

31.4

Answers

the ansewr is D. 31.4

Step-by-step explanation:

the ansewr is D. 31.4

A rectangular rug has side lengths of (x- 2) feet
space does it cover?
and (x + 3) feet. How much floor space does it cover

Answers

Hi!

Your answer is [tex]x^2+x+6[/tex]

We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.

Dimensions:

(x - 2) x (x + 3)

Area of a rectangle:

Length x Width = Area

Plug dimensions into the formula:

[tex](x - 2)(x +3)[/tex]

Use the Distributive Property and FOIL method to solve (if you are not familiar with the FOIL method, see the image attached below):

[tex]x^2+3x-2x-6[/tex]

Combine like terms:

[tex]x^2+x-6[/tex]

Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.

NEED HELP ON 13 AND 14 ITS OK IF YOU CAN ONLY ANSWER ONE, I WILL GIVE OUT BRAINLIEST, FIND THE LENGTH OF THE SEGMENTS IN THE PICTURE PLEASE

Answers

Answer:

It is the string theory dialated from quantum physics and decierived to the injudices of quadratic equations.

What is the surface area of this square pyramid?
o 72 cm2
o 384 cm
o 204 cm
o 240 cm2

Answers

240cm2 is the answer

The surface area of this square pyramid is,

⇒ SA = 296 cm²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

To find the surface area of this square pyramid

Now, We know that;

the surface area of this square pyramid is,

⇒ SA = B + 1/2 pl

Where, B represents the area of the base. p represents the perimeter of the base. l represents the slant height.

Now, We get;

B = 12 x 8

B = 96

p = 2 (12 + 8)

p = 40

l = 10

Thus, the surface area of this square pyramid is,

⇒ SA = B + 1/2 pl

⇒ SA = 96 + 1/2 x 40 x 10

⇒ SA = 96 + 200

⇒ SA = 296 cm²

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- A jar contains 55 quarters and dimes. The total value of the coins is $8.50. Find the
number of quarters and dimes in the jar.

Answers

Answer:

20 quarters and 35 dimes.

Step-by-step explanation:

Let number of quarters = q

Therefore number of dimes = 55 - q

By condition, q * 25 + (55 - q) * 10 = 850 [all converted to cents]

25q + 550 - 10q = 850

25q - 10q = 850 - 550

15q = 300

q = 300/15 = 20

Therefore, number of quarters = 20

and number of dimes = 55 - 20 = 35

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.

Answers

Answer:

The second one. (The triangle is not acute because 2+4>5)

Step-by-step explanation:

If you try to make the triangle, one angle would be obtuse so it's not acute.

Pls give brainly, im trying to get the most possible :>

A semicircular window with a RADIUS OF 20 inches is going to be laminated with a sunblock coating that costs 1.50 PER SQUARE INCH. How much will it cost to coat this window?

A: 200$
B: 942$
C: 1,593$
D: 1,884$

Answers

Answer:

B:942$

Step-by-step explanation:

(pi*20^2)/2 is approximately 628.32

628.32*1.5=942.48

We have,
Diameter of a semicircular window is 24 inches. Radius of window is 12 inches.
Lou wants to insert a laminated sun-block coating that costs $1.50 per square inch to apply.
It means we need to find the area of semicircular window. IT is given by :


Cost per square inch is $1.50. So, Lou spend to coat the window with sun-block is

So, Lou spend to coat the window with sun-block is $339.12.

Last year, Michael biked 318 miles. This year, he biked m miles. Using m , write an expression for the total number of miles he biked.

Answers

Answer:

318 + m  =total amount of miles

Pieces of a puzzle snap together to form composite figures. What is the area of the puzzle pieces above?

Answers

Answer:

Male and Female

Step-by-step explanation:

The male connecting piece is outward and the female is inward.

The town of Lantana needs $14,000 for a new playground. Lantana
Elementary School raised $5,358, Lantana Middle School raised
$2,834 and Lantana High School raised $4,132.
About how much more money do they need to raise? Choose the best
estimate.

Answers

Answer:

1676

Step-by-step explanation:

14,000-5,358-2,834-$4,132 = 1676

Zoe has a collection of 56 seashells. Then, she goes on a 3-day beach vacation and finds 12 new seashells each day. Which expression tells you the total number of seashells in Zoe's collection after her vacation? 56+(3+12) or 56+(3times12)

Answers

zoe’s total collection after her vacation will be 56+(3x12)

PLEASE HELP! (WILL MARK BRAINLIEST.)


Christina wants to make a quilt. She purchases 1 ½ yards of blue fabric, ⅔ yards of polka dot fabric, and ⅝ yards of red fabric. How much total fabric did she buy?


*Please provide an explanation, thank you :) *

Answers

Answer:

2 19/24

Step-by-step explanation:

5/8 + 2/3= 1   7/24

1    7/24 + 1    1/2= 2 19/24

Answer:

67/24 or 2 19/24

Step-by-step explanation:

You can find a common multiple for all of the fractions.

24 is going to be the common multiple.

1 12/24+16/24+15/24

What is the slope of the line that passes through the points (4, 8)(4,8) and (8, 6)(8,6)? Write your answer in simplest form.

Answers

Using linear function concepts, it is found that the slope of the line that passes through points (4,8) and (8,6) is of -0.5.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line goes through points (4,8) and (8,6), hence when x changes by 4, y changes by -2, and the slope is given by:

m = -2/4 = -0.5.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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Are the ratios 7:9 and 3:6 equivalent?

Answers

Answer: No

Step-by-step explanation:

Write your own equation in slope-intercept form and graph.

Answers

Answer:

No se

Step-by-step explanation

Espero Averte Ayudado:

Derrick watched his basketball team during the season and recorded the team’s score for each game. should see a histogram how many times did the team score more than 50 points? enter your answer in the box.

Answers

Considering the histogram, it is found that the team scored more than 50 points 26 times.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

Researching this problem on the internet, we have that:

The team scored between 51 and 60 points 12 times.The team scored between 61 and 70 points 11 times.The team scored between 71 and 80 points 3 times.

12 + 11 + 3 = 26, hence the team scored more than 50 points 26 times.

More can be learned about histograms at https://brainly.com/question/26622630

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The volume of a cone is 36π in3

What is the volume of a cylinder with the same radius and height as this cone?

Answers

Answer:

[tex]\:V_{cylinder}=108\pi\: in^3[/tex]

Step-by-step explanation:

[tex] V_{cone} = 36\pi\: in^3[/tex] (Given)

[tex]\bold{To\: find:} \:V_{cylinder} [/tex]

It is given that: Cylinder has same base radius and height as that of cone.

[tex]\implies \:V_{cylinder}=3( V_{cone} ) [/tex][tex]\implies \:V_{cylinder}=3(36\pi\: in^3) [/tex][tex]\implies \:V_{cylinder}=108\pi\: in^3[/tex]

Find the volume.
10 km
8 km
4 km
6 km

Answers

Answer:

1920

Step-by-step explanation:

10 x 8 = 80

80 x 4 = 320

320 x 6 = 1920

Without using a calculator, order the following expressions from least to greatest.

3 square root 27, pie, square root 8

Answers

Smallest
1. 3 to the square root of 27
2. Pi
3. Square root 8
Largest

Explain how you would find the coordinates of the image (5, 2) if it was reflected over the x-axis and then that image was reflected over the y-axis what would be the end result?

Answers

Answer:

the end result is (-5 , -2)

Step-by-step explanation:

Let A’ be the image of A(5 ,2) by reflection over the x-axis

and Let A’’ be the image of A’ by reflection over the y-axis

Formula:

➽if we reflect a point M of coordinates (x , y) over the x-axis we get the image point M’ of coordinates (x , -y)

➽ if we reflect a point N of coordinates (z , t) over the y-axis we get the image point N’ of coordinates (-z , t)

_____________________________

According to the formula :

A(5,2) ———-> A’(5 , -2) ———-> A’’(-5 , -2)

Answer: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

Step-by-step explanation:

Which shape is represented by the cross section below?

circle
cylinder
cone
ellipse

Answers

Answer:

cylider?

Step-by-step explanation:

Ellipse that’s the answer

At store A a pair of shoes is
on sale for 25% off the
regular price of $30. At store
B the same pair of shoes is
on sale for 20% off the
regular price of $28. What is
the difference between the
sales price of the two stores?

Answers

Answer:

the.answer is a a pair of shoes is on sale for 25% off the regular 30 at the store

can anyone help me with this? no links

Answers

Answer:

Step-by-step explanation:

as you see the top "moves" like

2,4,6,8, and next will be 10

the bottom adds 3 to the previos answer

5,8,11,14,  next will be 15

5th card is 10/15

The area of a circle is 153. 86 square meters. What is the the diameter of the circle? Use 3. 14 for π.


d =

meters

Answers

Answer:

Option (2). 14 m

Step-by-step explanation:

Formula to get the area of a circle 'A' =

where r = radius of the circle

Given in the question,

Area of the circle = 153.86 square meters

By putting the values in the formula,

153.86 = πr²

r = [tex]\sqrt{\frac{153.86}{\pi } }[/tex]

r = [tex]\sqrt{49}[/tex]

r = 7 meters

Diameter of circle = 2 × (radius of the circle

                             = 2 × 7

                             = 14 meters

Therefore, diameter of the circle is 14 meters.

Option (2) is the answer.

when he saw 9 customers walk in. He already had 31 wings cooked, but started cooking 32 more. The customers bought all the wings and split them equally. How many wings did each person get?​

Answers

Answer:

7

Step-by-step explanation:

31 Wings (already cooked)

+ 32 Wings (started cooking)

= 63 Wings total

divided by 9 customers

= 7 per person

A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thus central angle

Answers

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}[/tex]

The profit (p) a baker earned, in dollars, is proportional to the number of muffins (m) sold. This equation represents this relationship.

P = 0.75m
enter the profit earned for each muffin sold.

Answers

P = 0.75m represents the proportional relationship, therefore, the profit earned for each muffin sold is: $0.75.

What is Proportional Relationship?

If two variables, i.e. P and m are directly proportional to each other, the relationship between them can be represented as P = km, where k is the constant.

Given that P = 0.75m represents the proportional relationship between the profit earned and muffins sold, the constant, k, is 0.75, which is the profit earned for each muffin sold.

Learn more about proportional relationship on:

https://brainly.com/question/15618632

Passes through (-2,13) and (2,-7); write answer in slope intercept form.

Answers

Step-by-step explanation:

You must first know the formular for gradient then use the applied formular for slope

Help please with trigonometry hw please

Answers

In trig SIN is y/1 or r and TAN is Y/X so if SIN (y/1) is 0.8, tan would have to be 0.8/x. If an X is given you can solve

pls help me wirh this

Answers

Answer:

They will have 3 dollars left because they can buy 46 cartons. 46 cartons costs $184 dollars so 3 dollars left over from the budget

Step-by-step explanation:

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