Gwendolyn placed a 10-foot ladder against the side of her house so that the base of the ladder was 3 feet from the base of the house, as shown in the diagram below. Which measurement in feet is closest to d, the distance from the top of the ladder to the ground?
Answers
Answer 9.5
you do the pyragtaham theory thing its A(squared) + B (squared) = C squared
you put the 3 at the A and you put the 10 at the C you sqaure them all up and then subtrct 9 from 100 and you get 91 and then you square root 91 and you get 9.5
The distance from the top of the ladder to the ground is 9.54 ft.
What is a right triangle?"It is a triangle whose one of the angle is 90°"
What is hypotenuse?"The longest side of the right triangle is called as hypotenuse."
What is Pythagoras theorem?"For a right triangle,
c² = a ² + b²,
where c = hypotenuse and a, b are other two sides of right triangle."
For given example,
Gwendolyn placed a ladder against the side of her house.
This means, it makes right triangle with ladder hypotenuse and base of the triangle is the distance between base of the ladder and the base of the house.
Let 'a' be the hypotenuse of triangle, 'b' be the base and 'd' be the distance from the top of the ladder to the ground
⇒ a = 3 ft. and b = 10 ft.
Using Pythagoras theorem,
⇒ b² = a² + d²
⇒ 10² = 3² + d²
⇒ 100 = 9 + d²
⇒ d² = 91
⇒ d = 9.54 ft.
Therefore, the distance from the top of the ladder to the ground is 9.54 ft.
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Related Questions
Rewrite each angle in radian measure as a multiple of π· 30°
Answers
Answer:
[tex]\frac{\pi}{6}[/tex] radian
Step-by-step explanation:
We are given that an angle in degrees
[tex]\theta=30^{\circ}[/tex]
We have to find the angle in radian measure as a multiple of π
To find the value of 30 degree in radian we will use the radian measure formula
We know that
Radian measure=[tex]\frac{\pi}{180}\times degree\;measure[/tex]
Using the formula
Radian measure of 30 degree=[tex]\frac{\pi}{180}\times 30[/tex]
Radian measure of 30 degree=[tex]\frac{\pi}{6}[/tex] radian
Hence, the radian measure of 30 degree is given by
[tex]\frac{\pi}{6}[/tex] radian
Christian had brochures printed for a new business venture, Christian originally ordered 4 boxes of black-and-white
brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3
boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
If she let x = the number of black and white brochures and y = the number of color brochures, which system of
equations would she use?
Answers
Answer:
4x+3y=134
3x+3y=120
Step-by-step explanation:
i need help plsss. im stuck
Answers
Answer:
h = 6 cm
Step-by-step explanation:
Volume of cylinder = 54 π cm³
πr²h = 54π
π * 3 * 3 * h = 54π
[tex]h = \frac{54 \pi }{\pi *3*3}\\\\h= 6[/tex]
PLEASE HELP! WILL MARK THE BRAINLIEST!
These might be easy, just try
Answers
The answer to the other question is C.
Chamoy drove 585 miles in 9 hours. Freddy drove 605 miles in 11 hours. Who drove at a faster rate?
Answers
Answer:
Chamoy
Step-by-step explanation:
585/9= 65
605/11= 55
What is -1 1/3 in a decimal
Answers
Answer:
1.333
Step-by-step explanation:
if rounded then it's 0.333
if wrong I apologize
its the pythagorem theorem
Answers
(0, 4) and (-7, 2)
Slope intercept
Answers
Answer:
the slope is 2/7 and the intercept is 4
Step-by-step explanation:
In order to find slope, you use the equation delta y over delta x which is the equation, y2-y1/x2-x1.
In this case you plug in each point and get the equation, 2-4/-7-0 or 4-2/0+7.
Simplify to get 2/7.
To find the intercept, you must see what's the y value when x is 0. In this case it's already given to you, so y intercept is 4.
plz mark me brainliest aha.
URGENT!! PLEASE HELP!! What method could be used to prove the below triangles similar?
Answers
Answer:
Step-by-step explanation:
HELP! I need to divide 31.35 / m squared.
Answers
Answer:
it doesn't change
Step-by-step explanation:
Eight boxes of tile cover 30 square feet. How many boxes of tile are needed to cover 1,080 square feet of restaurant flooring.
Answers
What is the upper quartile, Q3, of the following data set?
42, 38, 29, 52, 55, 60, 26, 59, 32, 58, 46, 24, 33, 51, 25
Answers
Mary baked 56 cookies. She had to bake 300 cookies in order to win $400. She made 72 more cookies. Then, she lost 34 of them. How many cookies does she have now? How many more cookies does she need in order to win $400? Show your work.
PLSSS HELP!!!
SHOW ALL WORK, ANSWER ALL QUESTIONS AND YOU WILL GET BRAINLIEST!
IM DEPENDING ON ALL OF YOU GUYS! DONT FAIL ME! PLS!
Answers
Answer:
56+72=128 cookies
128-34=94 cookies
Mary has 94 cookies
300-94=206 cookies she still needs to bake in order for her yo win $400
please help me on this question... please!
Answers
Answer:
(-1,3)
Step-by-step explanation:
[tex] - x + 2 = 3x + 6[/tex]
[tex] - x - 3x = 6 - 2[/tex]
[tex] - 4x = 4[/tex]
[tex]x = - 1[/tex]
[tex]y = - ( - 1) + 2 = 3[/tex]
Can someone help me with this please
Answers
Answer:
[tex]y = - \frac{5}{6} x - 7[/tex]
Step-by-step explanation:
from the chart, you can get 2 points
(0,-7) & (-6,-2)
y=ax+b
b=-7
-2=-6a-7
a=-5/6
please help quick!! pythagorean theorem!
Answers
Answer: x=3
Step-by-step explanation:
4^2+b^2=5^2 25-16=9 sqrt of 9 is 3
16+b^2=25
25-16=9
Square root of 9=3
X=3
Solve for y.
115°
108°
130°
90°
Answers
Answer:
115, A
Step-by-step explanation:
The formula to find the total interior angles is ([number of sides] - 2) x 180, so in this case it would be 540, and if you subtract all the other interior angles you wi ll get y! (90,135,112,and 88) (please excuse therandom spaces my spacebar isbroken)
The value of y from the figure is 115 degrees
PolygonsThe given polygon is a pentagon
The sum of an interior angle of the pentagon is 540 degrees
Taking the sum and equating to 540 will give:
90 + 135 + 112 + y + 88 = 540
y + 425 = 540
y = 540 - 425
y = 115 degres
Hence the value of y from the figure is 115 degrees
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Need help on this please help
Answers
Answer:
280m³
i hope this is help for you
which is less -2.34 or -2.2?
Answers
Answer:
-2.34
Step-by-step explanation:
It is further away from 0
-2.34 is less because its further from 0 than -2.2
Which two points on the number line are the same distance from 0?
Answers
Answer:
D. E and D
Ive learned this and im 100 percent sure its D
Answer:
its E and D
Step-by-step explanation:
they're both 5 away from 0
In a year, there are 4 months that have 30 days.
What is the ratio of the months with 30 days to the months with other than 30 days?
2 to 1
1 to 3
1 to 2
3 to 1
Answers
Is it a function? Explain
Answers
Answer:
Yes.
Step-by-step explanation:
For a graph to be a function, it must have precisely one y-value for every x-value.
In this case, this graph is a function because it meets the requirements of having one y-value for every x-value.
Let me know if this helps!
Write a sum of four numbers that equals 0, none of which are opposites.
Answers
Is that what you’re looking for?
The four numbers whose sum equals 0, none of which are opposites are
-2, 4, -9, 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Four numbers:
-2, 4, -9, 7
We see that,
The sum of the four numbers is 0.
-2 + 4 + (-9) + 7
= -11 + 11
= 0
None of the numbers are opposite.
Thus,
The four numbers are -2, 4, -9, and 7.
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Find the multiplier for 21.6% decay
Answers
Answer:
5pts
Step-by-step explanation:
The required multiplier for 21.6% decay is 78.4%.
Given that,
To find the multiplier for 21.6% decay
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is simplification?
The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
In the question, the multiplier for the rate of 21.6% decay is to be determined.
A multiplier of decay implies decay = 1 - r
Since let the Decay multiplier be x
x = 1 - r
x = 1 - 0.216
x = 0.784
x = 78.4%
Thus, the required multiplier for 21.6% decay is 78.4%.
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Which of the following values is not in the domain of y = tanx?
(-pi/2)
0
pi
(-pi/4)
Answers
Answer:
(-pi/4)
Step-by-step explanation:
Which fraction is equal to 0.5 7?
A. 19/30
B. 19/33
C. 26/45
D. 52/99
Answers
The correct answer for fraction equal to 0.57 is [tex]\dfrac{19}{33}[/tex] and [tex]\dfrac{26}{45}[/tex]. The correct 0ptions are C and B.
What is fraction?
A fraction is a numerical value that has both numerator and denominator.
Given Number:
A)
[tex]\dfrac{19}{30} = 0.63[/tex]
[tex]0.63[/tex] ≠ [tex]0.57[/tex]
B)
[tex]\dfrac{19}{33} = 0.5757[/tex]
[tex]0.57 = 0.57[/tex]
C)
[tex]\dfrac{26}{45} = 0.5777[/tex]
[tex]0.57 = 0.57[/tex]
D)
[tex]\dfrac{52}{99} = 0.52[/tex]
[tex]0.57[/tex] ≠ [tex]0.52[/tex]
The correct fractions are [tex]\dfrac{19}{33}[/tex] and [tex]\dfrac{26}{45}[/tex] .The correct options are C and B.
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ummm can u plz tell me what u put in these boxes and um answer 4 pls
Answers
Well your answer for problem 4 is 28. IM not sure what the boxes are for though...
10x + 38
40 + 7x
determine the value of x
Answers
Answer:
x= 2/3
Step-by-step explanation:
if they are equating,
10x +38 = 40+7x
10x-7x = 40-38
3x = 2
x= 2/3
Answer:
x = 0.6666666667
Step-by-step explanation:
Simplifying
10x + 38 = 40 + 7x
Reorder the terms:
38 + 10x = 40 + 7x
Solving
38 + 10x = 40 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
38 + 10x + -7x = 40 + 7x + -7x
Combine like terms: 10x + -7x = 3x
38 + 3x = 40 + 7x + -7x
Combine like terms: 7x + -7x = 0
38 + 3x = 40 + 0
38 + 3x = 40
Add '-38' to each side of the equation.
38 + -38 + 3x = 40 + -38
Combine like terms: 38 + -38 = 0
0 + 3x = 40 + -38
3x = 40 + -38
Combine like terms: 40 + -38 = 2
3x = 2
Divide each side by '3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Tell whether each equation will have a positive or negative solution by just typing positive or negative in the blank.
1. (-1) • (-25)
2. 62 ÷ (-8)
3. 18 ÷ 6
4. (-15) • (5)
Answers
2.negative
3.positive
4.negative
Can somebody help????
Answers
Answer:
1: 0.80
2: 1.30
Step-by-step explanation:
Hope this helps
Answer:
0.80 and 1.30
Step-by-step explanation:
0.80, 1.05, 1.30, 1.55, 1.80, 2.05
... + 0.25 = 1.05
= 1.05 - 0.25
= 0.80
0.80 + 0.25 = 1.05
1.05 + 0.25 = 1.30
1.30 + 0.25 = 1.55
1.55 + 0.25 = 1.80
1.80 + 0.25 = 2.05