A 25 foot ladder is leaning against a building. The building is 20 feet high. How far away from the building is the bottom of the ladder

Answers

Answer 1

Answer:

15 ft

Step-by-step explanation: To solve this, you have to use the Pythagorean Theorem. The 25 ft is the hypotenuse, the longest side of the triangle. the building's height, 20 ft is one of the legs. The missing measurement is one of the other legs.

Pythagorean Theorem: A^2 + B^2 = C^2

A and B are legs and C is the hypotenuse.

Substitute the values:

20^2 + B^2 = 25^2

400+ B^2 = 625

625 - 400 = 225

225 = 15^2


Related Questions

Please help! Surface Area

Answers

Answer: The surface area is 219.8 ft

Step-by-step explanation: the radius= 7 and the height=4

2(3.14 x 7) + (2 x 3.14 x 7) 4

      43.96 + 175.84

             219.8

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5 1/12

Step-by-step explanation:

3+1 is four, when you add the fractions it's going to make a whole cup, and the reminder is 1/12 of a cup

Answer:

answer d or 3 3/12

Step-by-step explanation:

okay who knows there stuff good ? i failed geometry last year and were back at it plz helppp

Answers

a) 0.02 < 0.9
b) 2.93 > 2.69
c) 3.81 < 8.49

< means less than
> means greater than
= means equal to

I really need help 6TH GRADE MATH (Photo Attached) 2 Questions Thank you​

Answers

Answer:

1) 90!

2) False

Step-by-step explanation:

Had to think about this one for a bit

but i hope this helps

Answer:

1. 86

2. false

Step-by-step explanation:

A biased coin is tossed 40 times. Out of those 40 tosses, the coin landed on heads 12 times.

Find the probability of the coin landing on tails.

Answers

Answer:

Step-by-step explanation:The probability of picking the biased coin: P(biased coin)=1/100. The probability of all three tosses is heads: P(three heads)=1×1+99×18100. The probability of three heads given the biased coin is trivial: P(three heads|biased coin)=1.

In regular polygons, if the number of sides, n, is off, the lines of symmetry will pass through a __________ and the __________ of the opposite side.

Answers

Answer:

In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.

Step-by-step explanation:

This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.

y=8x + 9
Input/x is 7

Answers

Answer:

The answer to this question I believe is y = 65

Step-by-step explanation:

y=8x+9
y=8(7)+9
y=56+9
y=65

Pleaseeeeee helpppp meeeeeeeeeeeeeeeeeee!!!! Reallyyy need it

Answers

Answer:

I cant see the whole question...

What are the solution(s) of the quadratic equation 98 - x2 = 0?
x = +27
x= 163
x = 17/2
no real solution

Answers

Answer: it’s c

Step-by-step explanation:

Consider this composite figure. A cone and half sphere. What formulas for volume will need to be applied to calculate the volume of the composite figure? check all that apply.
V = Bh
V = one-fourth B h
V = one-third pi r squared h
V = four-thirds pi r squared
V = four-thirds pi r cubed

Answers

Answer:

C and E on edge

Step-by-step explanation:

C- V = one-third pi r squared h

E- V = four-thirds pi r cubed

Answer:

c and e

Step-by-step explanation:

i agree

can someone plz help me with i don't understand it at allll

Calculating Vacation Costs

Situation:

Imagine that you’ve just won the coveted “Most Likely to Succeed in Math” award! Your prize is $4,500.00, which must be applied to a vacation. You will be provided a list of choices. You, a parent/guardian, and two others will be traveling by car, and you must plan all the expenses for your trip without exceeding $4,500.00.

Special Considerations:

• Do not include costs for souvenirs or extras. These items do not get deducted from the prize money.
• Travel and lodging must be calculated for a round trip.

• You may need two hotel rooms, such as one for girls and one for boys, so make sure to consider who is in the group. All boys or all girls can stay in one room.
• You have various choices and options. Choose what will give you an outstanding vacation.
• You may remain on vacation as long as the prize money is available.

• You must pay all expenses of the group of 4.

• Calculate costs on this sheet.

• Be sure to total costs.

Answers

Answer:

i don't understand

Step-by-step explanation:

4.9.21
Solve the system of equations.
y=x² + 6x-2
y= - x2 + 4x + 22
Select the correct choice below and, if necessary, fill in box

- the solution(s) are:
- there is no solution

Answers

Answer:

x = -4 or 3

Step-by-step explanation:

[tex]x^{2}[/tex] + 6x - 2 = -[tex]x^{2}[/tex] + 4x + 22

2[tex]x^{2}[/tex] + 2x - 24 = 0

[tex]x^{2}[/tex] + x - 12 = 0

(x + 4)(x - 3)=0

x = -4 or 3

x = -4 or 3
because

Problem PageQuestion
Pamela's age is two times Jiri's age. The sum of their ages is 66. What is Jiri's age?

Answers

Answer:

Jiri is 22

Pamela is 44

Step-by-step explanation:

Look at the attachment

Answer:

Jiri is 22 years old.

Step-by-step explanation:

P=2J

P+J=66

2J+J=66

3J=66

J=22

Each square in the grid is a unit square with an area of 1 square unit.
What is the area of the figure?

Answers

We just count squares.  Those two half-squares will add to one whole square.  So this is a 3x4 rectangle plus a triangle of area 2.

Answer: 14

pliz ans this question​

Answers

Answer:

Hello,

- 6 (x - 2)² - 1

Step-by-step explanation:

- 6 x² + 24 x - 25 = - 6 (x² - 4 x) - 25

= - 6 ( (x - 2)² - 4) - 25

= - 6 (x - 2)² + 24 - 25

= - 6 (x - 2)² - 1

it’d be -6(x-2)^2-1 :)

What creatures terrify Aeneas as he enters the realm of the dead?

Answers

Answer:

The sibyl tells Aeneas that he must find and pluck a golden bough from a tree in an ... First, however, he must find and bury the body of a dead comrade. ... spirits and monsters and eventually reach Acheron, one of the underworld's rivers. Here ... Also punished in Tartarus's realm are mortals who have sinned abhorrently

Step-by-step explanation:

Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?

Answers

Answer: $4107.74

Step-by-step explanation:

Manny is having new carpet installed in his home. The flooring company charges $195 for installations, than $3.50 per square foot of carpet. Identify your variables, then write an equation to represent the total cost Manny will pay for new carpet.

Answers

Answer:

y=3.50x+195

Step-by-step explanation:

y=3.50x+195

let y= total cost and x= square feet of carpet needed.

A triangle has sides with lengths of 6 yards, 8 yards, and 10 yards. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

so, by the Pythagorean theorem

If it is a right triangle:

a^2 + b^2 = c^2

so,

6^2 = 36

8^2 = 64

10^2 = 100

okay, now we plug these into the equation

36 + 64 = 100

so yes, it is a right triangle.

Hope this helped!

Answer:

No, it's not a right triangle.

Explanation:

If you think about it a right triangle has 2 equal sides. So no this isn't a right traingle.

Please help me it’s on probability

Answers

Answer:

C--- 15% of all students in grade 6 at HACS are below grade level in math

In a work problem, what is represented by the number 1? 100% of the job. The first attempt at the work. 1 more attempt at the work is needed. The effort being put forth in the problem.

Answers

Answer:

(A) 100% of the job.

Step-by-step explanation:

One important point to remember with work problems is that the entire job is represented by the numeral 1. The 1 represents 100% of the job, when written in percentages. This means that when you are talking about a job, each part that is done is represented by a fraction; and the job is complete when the percentage is 100%.

Answer:

(A) 100% of the job.

Step-by-step explanation:

The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?

Answers

Answer:

133 students would fill 2 buses and 3 vans

Step-by-step explanation:

Let x be the no. of students in each van

No. of students in 12 vans = 12x

No. of students in 14 vans = 14x

Let y be the no. of students in each bus

No. of students in 14 buses = 14y

No. of students in 12 buses = 12y

We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

12x+14y=796 ---1

We are also given that General High rented and filled 14 vans and 12 buses with 738 students.

14x+12y=738 ---2

Plot 1 and 2 on graph

12x+14y=796 --- Green line

14x+12y=738 --- Purple line

Intersection point gives the solution

Intersection point=(x,y)=(15,44)

No. of students in 1 van = 15

No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]

No. of students in 1 bus = 44

No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]

So,Total no. of students in 3 vans and 2 buses = 45+88=133

Hence 133 students would fill 2 buses and 3 vans

Find the missing angle.
Which equation represents the relationship between the angles in the figure?

A. 88 + b = 90
889
B. 88 + b = 180
a. 2b + 88 = 90
D. 2b + 88 = 180
Solution:​

Answers

There is a straight angle witch mean that both b angles plus 88 equals 180 because a straight angel equals 180. So the solution would be D.

I always get confused on this Topic can someone help me

Answers

Answer:

angle C = 50 degrees

Step-by-step explanation:

The measure of an inscribed angle is always 1/2 of the arc measure.

graph the circle (x-7)^2 + (y-5)^2 = 4

Answers

Answer:

I graphed the circle below.

Step-by-step explanation:

If this answer is correct, please make me Brainliest!

The graph of the circle is attached.

What is a circle?

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the centre.

A circle is also the set of all points that are equidistant from the centre.

A circle is a special case of an ellipse with zero eccentricity and coincident foci.

Given is an equation of a circle, we need to graph, it,

The equation =

(x-7)² + (y-5)² = 4

Here, the center of the circle is (7, 5) and the radius is 2.

Hence, the graph of the circle is attached.

Learn more about circle, click;

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Please help with question off algebra nation

Answers

Answer:I’m on that same question and I need help to

Step-by-step explanation:

Answer:

Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.

Step-by-step explanation:

I know that table C is linear because it has a constant rate of change the whole entire time.

I know table A is exponential because of the way it drastically increases at the end.

And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.

I hope I helped.

Sarah claims that when you divide, the number you are dividing always gets smaller. John says this is not true. Who is correct? If John is correct, give a counterexample.
A) Sarah is correct.
B) John is correct. A counterexample is 4 ÷ 5.
C) John is correct. A counterexample is 4 ÷ 1.25.
D) John is correct. A counterexample is 4 ÷ 1/2

Answers

Answer:

D

Step-by-step explanation:

John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5

We get

4/0.5= 8

3. After completing a statistical analysis of a survey of 40 students, the principal
of North High School made the following conclusion: reject the null hypothesis;
there is convincing evidence that more than 50% of students support a schedule
change to have lunch occur earlier in the day. Which error could have been
committed?
(A) Type I error: Conclude that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.
(B) Type l error: Conclude that more than 50% of students want earlier lunch, when
more than 50% want earlier lunch.
(0) Type Il error: Fail to reject that 50% of students want earlier lunch, when more than
50% want earlier lunch.
(D) Type Il error: Fail to reject that 50% of students want earlier lunch, when 50% or less
want earlier lunch.
(E) Type Il error: Fail to reject that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.​

Answers

Answer:

Option A

Step-by-step explanation:

A type I error is committed when a researcher rejects the null hypothesis when it is actually true.

The null hypothesis is: U <= 50%

The alternative is: U > 50%

Thus, the principal could have committed an error by rejecting null hypothesis and concluding that more than 50% of students want earlier lunch, when in actuality 50% or less want earlier lunch.

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for the first pound, $2.00

for second pound, and $0.25 for each additional pound. How many pounds, p. will it take for UPS and FedEx to cost the same?

Complete the equation that represents this situation.

Answers

Answer:

12 pounds

Step-by-step explanation:

It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for the first pound, $2.00 for the second pound, and $0.25 for each additional pound.

Equations to represent the situation in this problem.

x=weight of package

UPS cost=6+1+0.15(x-2)

UPS cost=6+1+0.15x-0.3

UPS cost=6.7+0.15x

FedEx cost=4+2+.25(x-2)

FedEx cost=4+2+0.25x-0.5

FedEx cost=5.5+0.25x

Next, we can set the two equations equal to each other to solve for x.

6.7+0.15x=5.5+0.25x

6.7+0.15x-5.5=5.5+0.25x-5.5

1.2+0.15x-0.15x=0.25x-0.15x

1.2/0.1=0.1x/0.1

x=12

Hence, It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.

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