4b. Laura has a 12-foot ladder. The safety instructions recommend the
base of the ladder be placed 4 feet from the base of the wall. How highwill the ladder be able to reach on the wall? WRITE YOUR ANSWER AS A SIMPLIFIED RADICAL. (HINT: Use the abbreviation sqrt to mean "square root of." For example an answer might look like 5sqrt3, and be read "five times the square root of 3".)

Answers

Answer 1

Answer:

8√2 feet

Step-by-step explanation:

We solve the above question using the Pythagoras theorem

Laura has a 12-foot ladder. The safety instructions recommend the

base of the ladder be placed 4 feet from the base of the wall.

Hypotenuse² = Opposite ² + Adjacent ²

Hypotenuse = 12ft

Adjacent = 4ft

Opposite = Height = x

Opposite ² = Hypotenuse ² - Adjacent

Opposite = √Hypotenuse ² - Adjacent

Opposite = √12² - 4²

Opposite = √144 - 16

Opposite = √128

Opposite = √64 × 2

Opposite = 8√2 feet

Therefore, the ladder will be 8√2 feet high on the wall


Related Questions

PLZ ANSWER If a triangle is rotated about the y-axis as shown below, what three-dimensional polyhedral would be formed?

Answers

Answer:

A cone

Step-by-step explanation:

The diagram that shows the rotation of the triangle is not shown, but the question can still be solved.

The rotation of a triangle will form a cone; in fact a cone is referred to as a rotated triangle.

When rotated, the base of the triangle will form the circular base of the cone; the slant lengths of the triangle will form the slant length of the triangle.

The height of both shapes will remain the same.

Answer:

Cone

Step-by-step explanation:

Just took the test

SOLVE THE PROBLEM. WILL CHOOSE BRAINLIEST


S+S+8+12=38

Answers

Answer:

S=9

Step-by-step explanation:

First combine like terms

2s+20=38

then simplify

2s=18

S=9

9^(2x) • 27^(3-x) = 1/9

Answers

Answer:

[tex]\huge\boxed{x=-11}[/tex]

Step-by-step explanation:

[tex]9^{2x}\cdot27^{3-x}=\dfrac{1}{9}\\\\9=3^2;\ 27=3^3;\ \dfrac{1}{9}=3^{-2}\\\\\text{therefore}\\\\(3^2)^{2x}\cdot(3^3)^{3-x}=3^{-2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^{2\cdot2x}\cdot3^{3(3-x)}=3^{-2}\\\\3^{4x}\cdot3^{9-3x}=3^{-2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\3^{4x+9-3x}=3^{-2}\\\\3^{x+9}=3^{-2}\iff x+9=-2\qquad|\text{subtract 9 from both sides}\\\\x+9-9=-2-9\\\\x=-11[/tex]

2. Which unit would you use (centimetres,
square centimetres, or cubic centimetres)
to measure each of the following?
a) the length of ribbon around a photo:
frame
b) the wrapping paper covering a gift
c) the distance around a pattern block
d) the amount of space in a shoe box
e) the amount of soil in an ant farm

Answers

Step-by-step explanation:

A. square centimeters

B. centimeters

C. square centimeters

D. centimeters

E. cubic centimeters

please help me otherwise I will fail , find the hypotenuse of traingle, which has base = 24 and perpendicular = 10​

Answers

Answer:

26 is the hypotenuse

Step-by-step explanation:

a² + b² = c²

Given:

a = 24

b = 10

Work:

a² + b² = c²

24² + 10² = c²

576 + 100 = c²

c² = 676

[tex]\sqrt{c^2} =\sqrt{676}[/tex]

c = 26

Answer:

Solution given:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base².

hypotenuse ²=10²+24²

hypotenuse=√676=26

so

hypotenuse=26

I need Answer Immediately!!!!!!!!!

Answers

Answer:

the equation is x-6

pls mark me as brainliest

What is the complement to Angle 1 if it measures 63 degrees​

Answers

Answer:

27º

Step-by-step explanation:

complementary angle is equal to 90º

90 - 63 = 27

What is the value of y=7— 2x when x
=4?

Answers

Answer:

y=-1

Step-by-step explanation:

y=7-2x      x=4

plug in x : y=7-2*4

y=7-8

y=-1

Answer:

-1

Step-by-step explanation:

-2 times 4 = -8

7-8=-1

Miss Clara, the teacher at the school, has one
large classroom with 25 students. The
dimensions of the classroom are 30 units by
30 units. Each desk is two units wide by
three units long. How much space will be
leftover after all the desks are in the room?

Answers

Answer:

750 units.

Step-by-step explanation:

30 x 30 = 900 units (total space in the classroom)

2 x 3 = 6 units (how much space each desk takes up)

25 x 6 = 150 units (number of desks for each student)

900 - 150 = 750 units

Hope this helped!

Identify which part of a circle the following is point B
A
Center Point
B
Point of Tangency
С
H
Point
D
None of these options
A
F
E

Answers

Answer:B. C. D. 62°. 1240. 236°. 2480. 6 A minor arc of OP is. 2. If a circle has a diameter of ... Choose the true statement. F a point of tangency. G a tangent line. H a chord ... none of these. 8. 10. A. B. C. D. 19.3 ft. 28.3 ft. 8.9 ft. 17.9 ft. 18. Short Answer.

Step-by-step explanation:

Molly looked more sophisticated when she wore her business suit

Answers

Answer: A

Step-by-step explanation:

A grocery’s store charges $0.75 per donut. Which equation can be used to find c, the total cost, in dollars, to buy d donuts?
A.) C=0.75 +d
B.) C=0.75d
C.) D=0.75c
D.) D=0.75+c

Answers

Answer:

B

Step-by-step explanation:

The required expression is given by C=0.75d which shows the Total cost of D donuts in dollars. Option B is correct.

Given that,

A grocery store charges $0.75 per donut. Which equation can be used to find c, the total cost, in dollars, to buy d donuts is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question,
Cost of a donut = 0.75
Cost of d donut = 0.75 d
C = 0.75d

Thus, the required expression is given by C=0.75d which shows the Total cost of D donuts in dollars. Option B is correct.

Learn more about arithmetic here:

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what’s the surface area of the figure? have a good day

Answers

Answer:

1,236

Step-by-step explanation:

10x18=180

10x24=240

17x24x2=816

180+240+816=1,236

Select all the equations that have graphs with the same y-intercept.
A:
y = 3x - 8
B:
y = 32 - 9
C:
y 3 + 8
D:
y 528
8
Any help??!

Answers

Answer:

A, D, E

Step-by-step explanation:

y=mx+b b is the y-intercept

I can see that 3 equations have -8 as a y-intercept so select those

Ex: y=3x-8

Which scatter plot below shows both linear association and negative association between the two variables?

Answers

Answer:

C

Step-by-step explanation:

C is going down (negative) and is linear (straight)

Answer:

C

Step-by-step explanation:

I think it's C

1. An account is opened with a balance of $2800
earning 4.25% simple interest. What will be the
balance in the account in 30 years?

Answers

Answer:

The simple interest in the account will be $3570 and the total amount including principle and simple Interest  will be $6370

Step-by-step explanation:

firstly ,

Given That

principal(p)=$2800

Rate(R)=4.25%

Time(T)=30 years

now , we have from formula

simple interest (S.I)=   P × T ×R / 100

    =   (2800×30×4.25)    /   100

    =  $3570  

Therefore , Simple Interest in 30 years will be $3570

now , we know

Amount(A) =  Principal (P) + Interest (I)

                 =    $2800 + $3570

                   = $ 6370

Therefore the simple interest in 30 years will be $3570 and the total amount in the bank will be $6370 .

81x2/9x-7y + 49y2/7y-9x​

Answers

Answer:

9x3+7y3−9x−7y

Step-by-step explanation:

simplify

Answer:

9x3+7y3−9x−7y

Step-by-step explanation:

just simplify then u get this answer

The circumference of a circle is 100.48 meters. What is the circle's radius?
Use 3.14 for pi

Answers

the radius is 32 units

I need help please

x+y>4

Answers

The answer my be B or C not sure

PLEAE HELP THIS ONE IS FIND AREA!!! BRANLIEST WILL BE GIVEN. REAL ANSWER NO LINKS PELASE

Answers

Answer:

(C) 92 in²

Step-by-step explanation:

Shaded area is:

A = 9*12 - 4*4 = 92 in²

Answer:

C. 92 in²

Step-by-step explanation:

the area of shaded region =

(12×9)-(4×4)

= 108 - 16

= 92 in²


22. After paying $7.50 for a movie ticket, Salvador still had $3.75. How much money did
Salvador have before paying for a ticket?

Answers

Answer: $11.25

Step-by-step explanation:

Just add how much he spent ($7.50) and how much he had left ($3.75).

How are the graphs of y = sin(x) and y = sin(x - 8) related? *
There is a vertical shift
There is a change in the period of the function
There is a horizontal shift
There is a change in amplitude

Answers

Answer:

There is a horizontal shift.

Step-by-step explanation:

Replacing  x  in a function formula with  x - 8  moves the graph 8 units to the right.

In the attached image, y = sin(x) is light green,  y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.

A square pyramid has a slant height of 15 cm. A side length of the base is 20 cm. What is the surface area of the pyramid? Enter your answer in the box. Answer in cm²​

Answers

Answer:

1000 cm2

Step-by-step explanation:

Pretty sure

Answer:

Your answer is: 1000[tex]cm^{2}[/tex]

Step-by-step explanation:

4
A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 101° and angle
z
= 52°.
Work out
x
, explaining each stage of your working in the comment box.

Answers

Answer:

X=131°

Step-by-step explanation:

y= 101°

z= 52°

X= ?

BCD is a ∆

therefore y= Z + BCD angle (exterior angle of a ∆ is equal to the sum of opposite interior Angles)

angle BCD= y-z

= 101°-52°

=49°

also X= 180°- angle BCD (sum of angles on a straight line)

X= 180°-49°

X= 131°

Answer:

x = 131°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, then

∠ DCB + z = y , that is

∠ DCB + 52 = 101 ( subtract 52 from both sides )

∠ DCB = 49°

∠ DCB and x are adjacent angles and sum to 180°

∠ DCB + x = 180

49° + x = 180° ( subtract 49° from both sides )

x = 131°

please help

h(t)=-t²+12t+5​

Answers

Answer:

Step-by-step explanation:

nate form assuming t is real:

h(t) + (t - 12) t = 5

Alternate forms:

h(t) = 5 - (t - 12) t

h(t) + t^2 = 12 t + 5

Roots:

t = 6 - sqrt(41)

t = 6 + sqrt(41)

Properties as a real function:

Domain

R (all real numbers)

Range

{h element R : h<=41}

Derivative:

d/dt(-t^2 + 12 t + 5) = -2 (t - 6)

Indefinite integral assuming all variables are real:

integral(-t^2 + 12 t + 5) dt = -t^3/3 + 6 t^2 + 5 t + constant

Global maximum:

max{-t^2 + 12 t + 5} = 41 at t = 6

Answer:

dhdhejxjdjbdjflfsjsjebeiebeid eoc dje

A pizza restaurant has a toddler play area with a ball pit. The ball pit has 1000 red balls, 500 green balls, and 100 yellow balls
ffa ball is randomly picked from the pit, what is the probability it is yellow? A. 1/100 B. 1/16 C. 1/15 D. 1/10

Answers

Answer:

1/100

Step-by-step explanation:


Ericka's book is 675 pages long and she has read 325 pages so far. If Ericka reads 80 pages per day,
how many more days will it take her to finish the book?

Answers

Answer:

It would take around 5 Days

simplify 0.2(-4x+5)-0.5(3x-11)

Answers

Answer:

[tex]-2.3x + 6.5[/tex]

Step-by-step explanation:

Air pressure may be represented as a function of height above the surface of
the Earth as shown below.
000121
P(h)= Pe
In this function, Po is air pressure at sea level, and his measured in meters.
Which of the following equations will find the height at which air pressure is
85% of the air pressure at sea level?

Answers

Answer:

a

Step-by-step explanation:

just took it

The following equation 0.85 P₀ = P₀ [tex]\rm e^{-0.00012h}[/tex] will find the height at which air pressure is 85% of the air pressure at sea level

What is Air Pressure ?

The pressure exerted by air is called atmospheric pressure.

It is given that

P(h)=P₀ [tex]\rm e^{-0.00012h}[/tex]

Air pressure: P(h)

Height above the surface of the Earth (in meters): h

Air pressure at the sea level: P₀

Height at which air pressure is 85% of the air pressure at sea level:

h=?

P(h)=85% P₀

P(h)=(85/100) P₀

P(h)=0.85 P₀

Replacing P(h) by 0.85 P₀ in the formula above:

P(h)=P₀ [tex]\rm e^{-0.00012h}[/tex]

0.85 P₀ = P₀ [tex]\rm e^{-0.00012h}[/tex]

Therefore Option A is the correct answer.

to know more about Air Pressure

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Cost of Water Bottles Number of Water Bottles Cost 3 5 $3.90 $6.50 $10.40 8 What is the price per water bottle? Enter the answer in the box.​

Answers

Answer:

2.6

Step-by-step explanation:

it would be 2.6 because you minus 3.90 and 6.50

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