A tree casts a shadow that is 9 meters long. A 54 meter tall building nearby casts a shadow that is 24 meters long. What is the height of the tree
Answers
Answer:
Height of the tree is 20.25 m.
Step-by-step explanation:
Length of building AB = 54 m
Length of tree DE = 9 m
Shadow casted by the building (BC) = 24 m
Shadow casted by the tree (CE) = 9 m
Since, ΔABC ~ ΔDEC
By the property of similar triangles, corresponding sides of the similar triangles will be proportional.
[tex]\frac{AB}{DE}=\frac{BC}{EC}[/tex]
[tex]\frac{54}{h}=\frac{24}{9}[/tex]
h = [tex]\frac{54\times 9}{24}[/tex]
h = 20.25 m
Therefore, height of the tree is 20.25 m.
Related Questions
What point would be the reflection across the x-axis for the point, (7,2)?
Answers
Answer:-7,2
Step-by-step explanation: It will be because only the X side changes
Answer:
(7,-2)
Step-by-step explanation:
Which statement about these triangles is true?
(Image)
A. The dilation is an enlargement
B. The dilation is a reduction
C. It is not a dilation
D. There is not enough information
Answers
the answer is D.
there is not enough information
Answer:
d
Step-by-step explanation:
plz answer asap and i would be very grateful
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hope this helps
If you had 11 pieces of licorice to share equally among 5 people, how much licorice would each person get?
Answers
Answer:
everyone would get 2 and there would be 1 leftover
Step-by-step explanation:
if boards that usually cost $660 are selling at 1/6 less than the normal price, what is there price now? PLEASE ANSEWR TIMED!!!!
Answers
Answer:
$554.40
Step-by-step explanation:
Answer:
$110
Step-by-step explanation:
1/6 x 660
It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. 50 points
What do the parts of the equation -4h = -14 represent?
And answer choices : pic 2
Answers
can anyone help me with these questions i will mark you as brainliest
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Answer:
X= 38
Step-by-step explanation:
A straight line is 180⁰ so we can subtract that by 133⁰ to get the degree on the inside of the triangle which is 47. You then add 47 and 95 to get 142. To get x you subtract 142 from 180
There are 30 teachers in a school.It is anticipated that the number of teachers next year will increase by 10%. How many teachers should be there next year?
Answers
Answer:
33
Step by step explanation of the answer
Hope it helps!
Consider (11 x a) = 11!/a!9! Find the value of a
Answers
Answer:
a=√x3x
Step-by-step explanation:
I solved this by combining expressions and isolating the variable a. mabey I did this wrong and this is not what you learned
Find the m\angle EFGm∠EFG.
Answers
Explaination: hope it’s correct because I found good sources for the answer :DD
¿Me pueden ayudar con esta ecuación? 9 x + (x - 7) = (5 x + 4) - (8 - 3 x) Es que mi profe dice que es 3/2 pero me sale otra cosa... Gracias <3
Answers
Responder:
x = 3/2
Explicación paso a paso:
Dada la ecuación
9 x + (x - 7) = (5 x + 4) - (8 - 3 x)
Debemos encontrar el valor de x que satisface la ecuación
9 x + (x - 7) = (5 x + 4) - (8 - 3 x)
Expandir
9x + x-7 = 5x + 4-8 + 3x
Recopile los términos similares;
9x + x-3x-5x = 4-8 + 7
2x = 3
x = 3/2
Responder:
x = 3/2
Explicación paso a paso:
Dada la ecuación
9 x + (x - 7) = (5 x + 4) - (8 - 3 x)
Debemos encontrar el valor de x que satisface la ecuación
9 x + (x - 7) = (5 x + 4) - (8 - 3 x)
Expandir
9x + x-7 = 5x + 4-8 + 3x
Recopile los términos similares;
9x + x-3x-5x = 4-8 + 7
2x = 3
x = 3/2
Por lo tanto, el valor de x que hace que la ecuación sea igual es 3/2
Which of these is the algebraic expression for "4 times the sum of 2 and y?"
a 4 ⋅ 2 + y
b 4(2 + y)
c 2 + 4 ⋅ y
d 2(4 + y)
Answers
Answer:
b
Step-by-step explanation:
The sum of 2 and y is 2 + y, then 4 times this sum is
4(2 + y) → b
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jak coś to polski
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Isaiah is going to invest $94,000 and leave it in an account for 16 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Isaiah to end up with $273,000?
Answers
Answer:
Step-by-step explanation:
r=6.7
im proud of you!!!!! no matter ur grades or whatever im proud of you and ily
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Answer:
Wut
Step-by-step explanation:
Important for my exam tomorrow ! Please help
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Answer:
Step-by-step explanation:
Adjacent angles of parallelogram are supplementary.
∠A + ∠D = 180
Divide both sides by 2
[tex]\frac{1}{2}[/tex] ∠A + [tex]\frac{1}{2}[/tex] ∠D = 90
∠PAD + ∠ADP = 90 --------------------(I)
IN ΔPAD,
∠PAD + ∠ADP + ∠APD = 180 {angle sum property of triangle}
90 + ∠APD = 180 {from (I)}
∠APD = 180 - 90
∠APD = 90
∠SPQ = ∠APD {vertically opposite angles}
∠SPQ = 90°
Similarly, we can prove ∠PQR = 90° ; ∠QRS = 90° and ∠RSP = 90°
In a quadrilateral if each angle is 90°, then it is a rectangle.
PQRS is a rectangle.
Which kind of triangle exists if the side measures are 3, 9, and 10?
i thought the answer was acute but my teacher marked it wrong and told me the correct answer was obtuse could someone explain why it would be obtuse?
Answers
Step-by-step explanation:
There is a rule that if c^2 > a^2 + b^2, then it is an obtuse triangle.
*c is the longest side
I attached more information on it below.
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Which representation shows y as a function of x???
Answers
Answer:
It is B and D
Step-by-step explanation:
They are both x and y functions
Can someone please check my answer??!!
Answers
Solve this inequality for x: - 3(x + 3) > 30
Answers
Answer:
x<-13
Step-by-step explanation:
−3(x+3)>30
Divide both sides by −3. Since −3 is negative, the inequality direction has changed.
x+3<30/-3
Divide 30 by −3 to get −10.
x+3<−10
Subtract 3 from both sides.
x<−10−3
Subtract 3 from −10 to get −13.
x<−13
Graph for inequality:
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hi are u good at rational exponenets? good now help me out
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Answer:
Step-by-step explanation:
nth root of a number 'a' is represented by the expression,
[tex]\sqrt[n]{a}[/tex]
In this expression 'n' = Index of of the radical
[tex]\sqrt[4]{16}[/tex] is called the 4th root of 16.
In [tex]\sqrt[4]{16}[/tex], the index is 4 and the radicand is 16.
4th root of 16 can be represented by [tex]\sqrt[4]{16}[/tex]
[tex]\sqrt[4]{16}=(16)^{\frac{1}{4}}[/tex]
[tex]=(2^{4})^{\frac{1}{4}}[/tex]
= 2
Name the angles and sides of each pair of triangles that are congruent.
Answers
Answer:
Step-by-step explanation:
Corresponding parts of congruent triangles are congruent
WX ≅ DC
XY ≅ CY
WY ≅ DY
∠WXY ≅ ∠DCY
∠XWY ≅ ∠CDY
∠WYX ≅ ∠DYC
HELP A BROTHER OUT PLEASE Which is equivalent to 8s+20t by the distributive property?
Answers
Answer:
4(2s +5)
Step-by-step explanation:
.............
Andrew is paid £250 a week. Each week, he shares his pay with his sister in the ratio 3 : 2 saves 12% of his share. How many weeks will it take Andrew to save £360?
Answers
Answer:
20 weeks
Step-by-step explanation:
The computation of The number of weeks it will take to save £360 is shown below:
Now $250 should be divided into a ratio of 3:2
He keeps = 150
ANd, he gives her = 100
As he saves 12% of his share
i.e.
= 12% of 150
= 18
Now the number of weeks would be
= 360 ÷ 18
= 20 weeks
Mr. Wright needs to buy a water tank for his classroom. The tank must fit inside a storage box that is shaped like a cube with side lengths of 20 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mr. Wright wants to buy the tank that has the largest capacity… What shape should he buy?
Answers
Answer:
square pyramids
Step-by-step explanation:
Square pyramids because they have corners and the storage box is shaped like a cube. If he gets things with rounded edges, then there will be empty space between each water tank.
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Answers
Hope this helps.
Brainliest please
is 10 times as much as 6.
Answers
Answer:
60
Step-by-step explanation:
10*6= 60 if thats what you wanted lol
Write the equation of the line that passes through the points (4,7) and (8,6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
First find the slope
Slope= y-y1/x-x1
So (6-7)/(8-4) = -1/4
Now take that slope and use one of the points and plug them into the point slope formula to solve for your y intercept.
Point slope formula: y=mx+b
So 7=-1/4(4)+b OR 6=-1/4(8)+b
Either way you’ll get b=8!
Put em together and you get: y=-1/4x+8
Ps you can double check your answer by plugging in one or both of the points into your equation to see if it works :)
Answer:
y - 7 = [tex]-\frac{1}{4}[/tex] (x - 4)
Step-by-step explanation:
Find Slope: m = [tex]\frac{y_{2-}y_{1} }{x_{2-}x_{1} }[/tex]
m = [tex]\frac{6-(7)}{8-(4)}[/tex]
m = [tex]\frac{-1}{4}[/tex]
Point Slope Form: y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
y - 7 = [tex]-\frac{1}{4}[/tex] (x - 4)
Solve for y. 7(x-4)=28
Answers
Answer: 8
Step-by-step explanation:
(8 - 4) = 4
so then,
7(8 - 4) = 28