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
helppppppppppppppppppppppppppppppppppp
Answers
Answer:
with what???
Step-by-step explanation:
Given triangle STU is congruent to triangle KLM complete each of the following statements
Answers
Congruent sides:
ST - KL
TU - LM
SU - KM
Congruent angles:
What is the sum (2/5x + 5/8) + (1/5x - 1/4)?
a. 3/5x + 1/8
b. 3/5x + 3/8
c. 3/5x + 5/8
d. 3/5x + 7/8
Answers
Answer:
[tex]\frac{3}{8} + \frac{3x}{5}[/tex]
Step-by-step explanation:
[tex]\left(\frac{2}{5}x + \frac{5}{8}\right)+\left(\frac{1}{5}x-\frac{1}{4}\right)[/tex] =
[tex]\frac{2}{5}x+ \frac{1}{5}x+ \frac{5}{8}- \frac{1}{4}[/tex] (Group Like Trems) =
[tex]\frac{3}{5}x+\frac{5}{8}-\frac{1}{4}[/tex] =
[tex]\frac{3}{8}+ \frac{3x}{5}[/tex]
What is the sum of 25% of 2018 and 2018% of 25?
Answers
Answer:
1009
Step-by-step explanation:
0,25 x 2018 = 504,5
20,18 x 25 = 504,5
504,5 + 504,5 = 1009
Answer:
1,009
Step-by-step explanation:
[tex] \frac{25}{100} \times 2018 = 504.5[/tex]
[tex] \frac{2018}{100} \times 25 = 504.5[/tex]
[tex]504.5 + 504.5 = 1009[/tex]
hope it helps you ☺️
a leaf blower runs on a mixture of gas and oil. the ratio or ounces of gas to ounces of oil is 40 to 1. how many ounces of gas does the leaf blower need for 2 ounces or oil?
Answers
Answer: 80 ounces
Step-by-step explanation:
40 : 1 = x : 2 where x = ounces of gas.
To get from 1 to 2, we multiplied by 2. So, we must also multiply 40 by 2 = 80.
Answer: The answer is 80 ounces
Step-by-step explanation:
I got it right
Find the product and the quotient.
1/3 x 1/6 =
1/6 dividend by 3 =
Answers
Answer:
1. 1/18
2.1/18
Step-by-step explanation:
In order to multiply fractions, you just multiply it straight out. Numerator to numerator, denominator to denominator.
1*1=1
6*3=18
So, the answer is 1/18.
To divide fractions, you flip the second number. If the number is 3, you flip the 3 to the denominator to make 1/3. Then, you multiply using the rule above.
1
Find the distance.
Answers
Answer:
7.8
Step-by-step explanation:
what is
a) 39.637, 44.3421, 34.1546,
44.351, 34.248 in increasing order
Answers
Answer:
34.1546, 34.248, 39.637, 44.3421, 44.351
Step-by-step explanation:
Manco went scuba diving. As he dove deeper, the water pressure around him increased at a constant rate. The table compares Mancini's depth (in meters) and the water pressure around him(in atmospheres). what was the pressure around manco when he was 30 meters deep?
Answers
Answer:
4.0 atm
Step-by-step explanation:
it looks to be a proportional ratio so for every meter pressure increases by .1 atm so if you add .8 to 3.2 you get 4 atm
You need a piece of paper to measure 56.34 cm if you tape two together that each measure 35.87 cm, how much do you need to cut off?
Answers
Answer:You need to 56.34, by 35.87. And you get your answer. 20.47!
Step-by-step explanation:
PLEASE ANSWER MY QUESTION FROM MY PROFIL!
Have a great day!
Answer:
If
KM
and
NP
are parallel lines and mNOQ = 55°, what is mPOL?
97.8
Step-by-step explanation:
Help please.
Is algebra.
Answers
Answer:
3
Step-by-step explanation:
To find the average rate of change, we can use the formula: (y2-y1) / (x2-x1).
Let (15, 45) be (x1, y1) and (29, 87) be (x2, y2).
So we have: (87-45) / (29-15)
This can be simplified to: 42/14, or 3.
Let me know if this helps!
A warehouse has shelves that can hold 8, 12, or 16 skateboards. each shelf has sections holding the same number of skateboards. what is the greatest number of skateboards that can be put in a section
Answers
Answer:
4
Step-by-step explanation:
To solve this you need the find the GCF or the greatest common factor.
To do this just look through the numbers to find the highest factor for all three.
For 8, 12, and 16 it would be 4.
4 goes into all of them and no number higher can do this
So your answer would be 4.
En la multiplicación anterior p y q representan
dígitos diferentes a 0. ¿Cuál es el valor de q?
Answers
Answer:
Hola
Step-by-step explanation:
Si desea verificar, b = 2, P = 0 y Q = 0.
se simplifica a porque cualquier cosa multiplicada por 0 es 0.
(lo siento si esto no ayuda)
ROOF A has a RISE of 11 and a RUN of 12. ROOF B has a RISE of 8 and a RUN
of 9. Which roof is STEEPER? "
Answers
In ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°. Find the length of j, to the nearest centimeter.
Answers
Answer:
874
Step-by-step explanation:
The length of j from the given triangle JKL is 550 cm.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.
Using cosine rule
j²=k²+l²-2kl.cosJ
j²=430²+590²-2×430×590·cos117°
j²=184900+348100-507400×0.4539
j²=533000-230308.86
j²=302691.14
j=√302691.14
j=550 cm
Therefore, the length of j from the given triangle JKL is 550 cm.
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A line segment has endpoints F(2, 2) and G(8, 2) Find the coordinates of its midpoint M
Answers
Answer:
(5,2)
Step-by-step explanation:
The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.
[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug points F(2,2) and G(8,2) into the equation
[tex]midpoint=(\frac{2+8}{2},\frac{2+2}{2} )\\midpoint=(\frac{10}{2},\frac{4}{2} )\\midpoint=(5,2)[/tex]
Therefore, the midpoint of the line segment with endpoints F and G is (5,2).
I hope this helps!
:) (1,-2) and (7,-2)
Find the slope
Answers
Answer:
0
Step-by-step explanation:
The slope should be a 0 slope, since both of the Y values are the same.
How to calculate 46% of 50
Answers
Answer:
the answer is 23
Step-by-step explanation:
100/50=2
46/2=23
Answer:
23
Step-by-step explanation:
50/x=100/46
(50/x)*x=(100/46)*x - we multiply both sides of the equation by x
50=2.17391304348*x - we divide both sides of the equation by (2.17391304348) to get x
50/2.17391304348=x
23=x
x=23
now we have:
46% of 50=23
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
find the distance between the two given points. O(-3,-2) and P(-3,4)
Answers
Answer:
[tex]\boxed {\boxed {\sf d= 6}}[/tex]
Step-by-step explanation:
Distance can be found using this formula:
[tex]d=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Where (x₁, y₁) and (x₂, y₂) are the points.
We are given the points O (-3, -2) and P(-3,4). Therefore,
[tex]x_1= -3 \\y_1= -2 \\x_2= -3 \\y_2=4[/tex]
Substitute the values into the formula.
[tex]d=\sqrt {(-3--3)^2+(4--2)^2[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Solve inside the parentheses first.
(-3--3)= -3+3=0(4--2)= 4+2=6[tex]d= \sqrt {(0)^2+ (6)^2}[/tex]
Solve the exponents.
(0)²= 0*0=0 (6)²= 6*6=36[tex]d=\sqrt {0+36[/tex]
Add.
[tex]d= \sqrt {36[/tex]
Take the square root.
[tex]d=6[/tex]
The distance is 6.
can you guys please help me quick !
Answers
Answer:
31
Step-by-step explanation:
58 - 27 = 31
which table represents a linear function?
Answers
What’s the answer to this??
Answers
Explain: a ²︎+ b ²︎ = c ²︎
6 ²︎ +8 ²︎ = c ²︎
36+ 84= 100
√︎100=10
c=10
Leanne's yearly income is 15,600 and she works twenty hours each week
What is her hourly rate
Answers
Answer:
Leanne's hourly rate is $15 per hour
Step-by-step explanation:
Assuming a year is 52 weeks, divide $15,600/52 to find the $/week ($300). Then, divide $300/20 to find the $/hrs ($15)
780
You divide 15,600 by 20 and you get 780 and if you want to check it you do 780 times 20 and you will get 15,600
I NEED HELP NOW!!!
Find the equation of the line.
Use exact numbers.
Answers
Answer:
y=-3x+7 i hope this helped
write n^5 x n^2 without exponents
Answers
The value without Exponent are n x n x n x n x n x n x n.
What are Exponents and Powers?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
[tex]n^5[/tex] x n²
Using the Property of Exponents and power
[tex]a^m[/tex] x [tex]a^n = a^{m+n[/tex]
So, [tex]n^5[/tex] x n²
= [tex]n^{5+2}[/tex]
= [tex]n^7[/tex]
= n x n x n x n x n x n x n
Hence, the exponents is n x n x n x n x n x n x n.
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Picture below...........
Answers
Answer: The correct answer is B.
Step-by-step explanation:
-(x-3)=-7 I need help with this equation
Answers
Answer:
x = 10
Step-by-step explanation:
Given
- (x - 3) = - 7 ( divide both sides by - 1 )
x - 3 = 7 ( add 3 to both sides )
x = 10
What is the place value of the 2 in 3290.14?
PLZ ANSWER FASTT
Answers
Answer:
d - hundreds
Step-by-step explanation:
290- 2 hundred
Answer:
D
Step-by-step explanation:
The graph of a translated exponential function is shown below. Its parent function is y = 4x.
If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?
PLEASE HURRY!
Answers
The graph of a translated exponential function is shown below. Its parent function is y = 4x.?
The function has been translated down 3 units and right 2 units. The equation of the graphed function is
.. y = -3 +4^(x -2)
If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?
i don`t know the answer to this one tho,very sorry
Answer:
y = [tex]4^{x - 2}[/tex] - 3
Step-by-step explanation:
