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Anika [276]
2 years ago
13

A tree cast a shadow 45 feet long. At the same time, the shadow cast by a vertical 3 feet stick is 5 feet long. Find the height

of the tree.
Mathematics
1 answer:
RoseWind [281]2 years ago
6 0

Answer:

43 feet

Step-by-step explanation:

The shadow cats by the stick was 5 feet long while the actual stick is only 3 feet long which means the shadow makes it bigger by 2 feet. Take 2 feet away from 45 feet you will get 43 feet.

I hope you understand if you dlnt I will explain it more. Hope it helped too!

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Find the quotient of 3/5 and 2/3
faltersainse [42]

Answer:

9/10

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by that fraction's reciprocal (basically the fraction flipped).

\frac{3}{5} ÷ \frac{2}{3} = \frac{3}{5} *\frac{3}{2} =\frac{3*3}{5*2} =\frac{9}{10}

4 0
3 years ago
Read 2 more answers
What is AE ? Enter your answer in the box. units Two segments A D and B C intersect at point E to form two triangles A B E and D
spin [16.1K]

Answer:

The length of AE is 20 units.

Step-by-step explanation:

Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.

we have to find the length of AE

AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD  

In ΔABE and ΔDCE

∠EAB=∠EDC      (∵Alternate angles)

∠EBA=∠ECD      (∵Alternate angles)

By AA similarity, ΔABE ≈ ΔDCE

therefore, \frac{AE}{ED}=\frac{AB}{CD}

⇒ \frac{2x+10}{x+3}=\frac{10}{4}

⇒ 8x+40=10x+30

⇒ x=5

Hence, AE=2x+10=2(5)+10=20 units

The length of AE is 20 units.

5 0
3 years ago
Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get
MrRa [10]

Answer:

Ivy = 24

Step-by-step explanation:

Given

Dennis : Ivy = 7 : 4

Required

Determine the amount of sweet Ivy gets when Dennis = 42

We have:

Dennis : Ivy = 7 : 4 and

Dennis = 42

Substitute 42 for Dennis in Dennis : Ivy = 7 : 4

42 : Ivy = 7 : 4

Convert to fraction

\frac{42}{Ivy} = \frac{7}{4}

Cross Multiply:

Ivy * 7 = 42 * 4

Divide through by 7

\frac{Ivy * 7}{7} = \frac{42 * 4}{7}

Ivy = \frac{42 * 4}{7}

Ivy = 6* 4

Ivy = 24

6 0
2 years ago
Jamal baked muffins for the school bake sale. He made 12 corn muffins and 15 blueberry muffins. What is the ratio of blueberry m
dedylja [7]
The answer is 15:27 then simplify it to 5:9
hope it helps! <3
3 0
2 years ago
Please help due by tonight EXPLAIN because I don’t want it to be wrong it’s one question. If you don’t know, don’t answer.
Annette [7]

Answer: C

Step-by-step explanation:

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3 years ago
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