c. A 40-foot ladder reaches 38 feet up the side of a house. How far from the base of the
house is the foot of the ladder?

Answers

Answer 1

Answer: 12.48

Step-by-step explanation:

38x38+bxb=40x40

1444+b=1600

1600-1444=156

[tex]\sqrt156[/tex]=12.48

C. A 40-foot Ladder Reaches 38 Feet Up The Side Of A House. How Far From The Base Of Thehouse Is The
Answer 2

The base of the house is 12.48 foot far from the foot of the ladder.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

It is given that A 40-foot ladder reaches 38 feet up the side of a house.

We need to find that How far from the base of the house is the foot of the ladder.

Using Pythagoras theorem, we get;

[tex]38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48[/tex]

Therefore, the base of the house is 12.48 foot far from the foot of the ladder.

Learn more about Pythagoras theorem;

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Related Questions

what are the steps to this?

Answers

Answer:

B=112

Step-by-step explanation:

Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112

Answer:

b = 112°

Step-by-step explanation:

The two angles from a straight line. so, they add to 180° .

b + 68° = 180°

subtract 68° from each side

b + 68° - 68° = 180° - 68°

b = 112°

BRAINLIEST!!! PLEASE IF SOMEONE COULD ANSWER MORE OF THESE LAST QUESTIONS AND DO ME A BIG FAVOUR I WILL GIVE LOTS OF POINTS AND BRAINLIEST!

Answers

45 min is answer

Step-by-step explanation:

trim of 4 people = 60 min

trim of 1 people = 60/4

= 15

trim of 3 people in = trim of one people × no of people

15×3=45 min

2
3
4
5
8
10
TIME REMAINING
49:29
C D
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually.
What multiplicative rate of change should Hal use in his function?
0.02
0.98
01.02
1.98
Save and Exit

Answers

Answer: .98

Step-by-step explanation:

Considering recurring decimals, the fraction 20⁄3 can be expressed as
7.77
6.66
3.66
9.88

Answers

Answer:

20/3=6.6666666666

Step-by-step explanation:

mark me brainliest

I don’t understand the problem or question

Answers

Answer:

Part A

a. Could be a parallelogram but cannot be a rectangle

Part B

c. 100°

Step-by-step explanation:

Part A

The polygon constructed by Andrew = Four sided polygon having no right angles

From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus

The rectangle, and square both have 4 right angles

Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square

The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'

Part B

The given parameters of the rhombus EFGH are;

Angle E = 3·x + 5, angle H = 4·x

The characteristics of a rhombus are;

The sum of the interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal

The sum of the adjacent angles = 180° (The adjacent angles are supplementary)

Therefore, in the rhombus EFGH, we have;

Angle E, and angle H are supplementary angles

∴ Angle E + angle H = 180°

Substituting the values of angle E and angle H gives;

3·x + 5 + 4·x = 180°

7·x = 180° - 5 = 175°

x = 175°/7 = 25°

Angle H = 4·x

∴ Angle H = 4 × 25° = 100°

Angle H = 100°

Angle F = angle H = 100°

Therefore, angle F = 100°

Name the polygon with seven sides_____

Answers

a polygon with seven sides is called a heptagon

Answer:

Hyptagon

Step-by-step explanation:

In geometry, a heptagon is a seven-sided polygon or 7-gon.

The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.

help please!! where do the points go?

Answers

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.

15 pages in 2 days ___ in 1 day

Answers

Answer:

7.5 pages.

Step-by-step explanation:

You divide 15 by 2 to work out 1 day.

Answer:

7.5 pages in 1 day

Step-by-step explanation:

In order to find the answer, you would need to do is divide 15 with two since every two days 15 pages are completed, and you would therefore get your answer which is 7.5. If you want to check your answer then simply multiply 7.5 with 2.

4(x+1)=2x+4
what is the value of x?

Answers

Answer:

x=0

Step-by-step explanation:

4(x+1)=2x+4

Distribute

4x+4 = 2x+4

Subtract 4 from each side

4x+4-4 = 2x+4-4

4x= 2x

Subtract 2x from each side

4x-2x = 2x-2x

2x=0

Divide by 2

x =0

Answer:

x = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

Identify

4(x + 1) = 2x + 4

Step 2: Solve for x

Factor:                                                                                                               4(x + 1) = 2(x + 2)[Division Property of Equality] Divide 2 on both sides:                                 2(x + 1) = x + 2[Distributive Property] Distribute 2:                                                                 2x + 2 = x + 2[Subtraction Property of Equality] Subtract x on both sides:                         x + 2 = 2[Subtraction Property of Equality] Subtract 2 on both sides:                        x = 0

Which of the following represents the range of the graph below?
10l
- 10
10
- 10

Answers

Answer:

y>0

Step-by-step explanation:

The range is the values the y can take

We see that y is greater than  zero

y>0

30 points for 3 questions plz help I will give brainlist if the 3 answers are correct

Answers

Answers:

6.) B

7.) C

8.) B

(First correct answer will get brainliest) Find the value of x that makes CDE FGH

Answers

Answer:

x =3

Step-by-step explanation:

We can use a ratio to solve

4x         18

------ = ----------

18         27

4x*27 = 18*18

108x=324

Divide each side by 108

x =3

The sum of two numbers is 45. One number is 9 more than the
other one. Find the numbers.

Answers

Answer:

27+18=45

Step-by-step explanation:

x+y=45

x+9=y

(x+9)+x=45

(18+9)+18=45

27+18=45

The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of the two numbers is 45. One number is 9 more than the other one.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = x + 9              ...1

x + y = 45           ...2

From equations 1 and 2, then we have

x + x + 9 = 45

2x = 36

x = 18

The value of the variable 'y' is given as,

y = 18 + 9

y = 27

The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.

More about the solution of the equation link is given below.

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which inequality is represented by this graph

Answers

Answer:

[tex]x\geq -53[/tex]

Step-by-step explanation:

Answer:

x ≥ -53

Step-by-step explanation:

Here is a trick the arrow is going to the right so the arrow in the inequality must go to the right and if the circle is closed there must be a line under the arrow in the inequality.

Can I get Brainliest please!

Set up an equation and solve for x

Answers

Answer:

x = -10

Step-by-step explanation:

verticle angles are congruent

80 + x = 70

Subtract 80 from both sides

x = -10

Which is equivalent to 38*?
o

Answers

8³x

[tex] \sqrt[3]{83} [/tex]

d

4 people can paint a house in 6 hours.
a)
How long would it take 1 person to paint the house?

Answers

Answer:

24 hours

Step-by-step explanation:

4 people can do the work in 6 hours

4*6 = 24 work hours

It will take 1 person 24 work hours to complete the job

Answer:

24 hours

Step-by-step explanation:

This question is a tricky one, but easy to solve at the same time. Normally the answer to this question would be 1 person = 24 (blank). But since we are talking about time, unit rates would not help very much. Multiply 4*6=24. It would take one person (assuming he goes as fast ad the others) 24 hours to complete the job.

Which of these four sets of side lengths will form a right triangle?
Set 1
10 cm, 26 cm, 24 cm
Set 2
4 in., 2 in., 6 in.
Set 3
14 mm, 13 mm, 15 mm
Set 4
10 ft, 30 ft, 20 ft
Set 1
Set 2
Set 3
w
O Set 4
Mark this and return
Save and Fyit

Answers

Answer:

Set 1

10 cm, 26 cm, 24 cm

Step-by-step explanation:

10² + 24² = 26²

100 + 576 = 676

Find mZSGH if mZFGH = 108°

Answers

Answer:

22

Step-by-step explanation:

FGH - FGS = SGH

108 - 86 = 22

Answer:

∠ SGH = 22°

Step-by-step explanation:

∠ FGS + ∠ SGH = ∠ FGH , that is

86° + ∠ SGH = 108° ( subtract 86° from both sides )

∠ SGH = 22°

Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she worked 30 hours and got paid $285.00. How much did she get paid during the second week of the two-week span? $114.00 $190.00 $427.50 $475.50

Answers

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!

Answers

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

Find the zeros of each quadratic function using any method.
f(x)=(2x+1)(x-3)

Answers

Answer:  x = -1/2    or   x = 3

===================================================

Explanation:

Set each factor equal to zero and solve for x. This is using the zero product property.

(2x+1)(x-3) = 0

2x+1 = 0    or    x-3 = 0

2x = -1     or    x = 3

x = -1/2    or   x = 3

If you graphed the function, you should see that it crosses the x axis at -1/2 and at 3.

Alt Test 7 -6 -5 -4 -3 -2 -1 2 3 1 Le 6 N . 1 -Z -3 -4 รา -6 In this graph, the y-intercept of the line is The equation of the line is y= y X​

Answers

Answer:

[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]

f(x) = 4x2 – 10x + 2
Find f(-7)

Answers

Answer:

f(-7) = 268

Step-by-step explanation:

f(x) = 4x^2 – 10x + 2

Let x = -7

f(-7) = 4(-7)^2 – 10(-7) + 2

     Exponents first

f(-7) = 4(49) – 10(-7) + 2

Multiply

f(-7) = 196 + 70 + 2

f(-7) = 268

f(-7) = 268
Step by step:

Which theorem would be used to write 15x + 12 + 117 = 180 in the diagram below?
a. Alternate Interior Angles Theorem
b. Corresponding Angles Theorem
c. Consecutive Exterior Angles Theorem
d. Vertical Angles Theorem

Answers

Answer:

C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent

Answer:

B

Step-by-step explanation:

simplify the following equation 32m : 2km​

Answers

Step-by-step explanation:

the answer is in the image above

how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one​

Answers

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

She can choose two.

There are 19 options that can be chosen once.

The first thing we need to do, is find all the "selections".

Here we have two selections:

Topping number 1

Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1:  Here we have 19 options.

Topping number 2:  Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

C = 19*18 = 342

There are 342 different combinations.

what is the length of AB​

Answers

Answer:

I think the answer is 6.6

Find the surface area of the space figure represented by the net.

245.5 cm2

263 cm2

173.5 cm2

191 cm2

Answers

Answer:

B. 263 cm²

Step-by-step explanation:

Surface area of the figure represented by the net = area of all parts of the net which consists of 3 rectangles and 2 triangles

✔️Area of the first two equal rectangles = 2(L*W)

L = 12 cm

W = 6 cm

Area of the first two equal rectangles = 2(12*6)

= 144 cm²

✔️Area of the third rectangle = L*W

L = 12 cm

W = 7 cm

Area = 12*7

= 84 cm²

✔️Area of the two equal triangles = 2(½*b*h) = b*h

b = 7 cm

h = 5 cm

Area = 7*5

= 35 cm²

✔️Surface area of the space figure = 144 + 84 + 35

= 263 cm²

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer: X= 25 degrees

Step-by-step explanation:

A triangle is 180 degrees.

115+40=165

180-165=25 degrees

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