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: 12.48
Step-by-step explanation:
38x38+bxb=40x40
1444+b=1600
1600-1444=156
[tex]\sqrt156[/tex]=12.48
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
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
Step by step:
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
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
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!
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]
simplify the following equation 32m : 2km
Answers
Step-by-step explanation:
the answer is in the image above
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°
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°
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
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! :)
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! :)
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
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
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 RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringStep-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(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
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
what is the length of AB
Answers
Answer:
I think the answer is 6.6
Which is equivalent to 38*?
o
Answers
8³x
[tex] \sqrt[3]{83} [/tex]
d
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.
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
Find the zeros of each quadratic function using any method.
f(x)=(2x+1)(x-3)
Answers
===================================================
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.
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:
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:
30 points for 3 questions plz help I will give brainlist if the 3 answers are correct
Answers
6.) B
7.) C
8.) B
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.
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.
https://brainly.com/question/545403
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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.
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.
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.
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°