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VikaD [51]
4 years ago
10

A 100 foot ladder is leaning against a tree so that the top of the ladder is 96 feet above the ground. How far is the base of th

e ladder from the tree?

Mathematics
2 answers:
ahrayia [7]4 years ago
8 0

Answer:The base of the ladder from the tree is 28ft

Step-by-step explanation:

Using pythagorean theorem

Let 100ft= hypothesis is the right angle triangle

Let 96ft be the height of the ladder

Let x be the base of the right angle triangle between the base of the ladder and the tree

h^2=a^2+b^2

100^2=96^2 +b^2

10,000=9216 +b^2

b^2=10,000-9216

b=sqrt(784)

b=28ft

Marizza181 [45]4 years ago
3 0

Answer:

28 ft

Step-by-step explanation:

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3 + (2 + 8)2 ÷ 4 × 1 over 2 to the power of 4
Andreyy89

Answer:

Thus, the value of expression  is .

Step-by-step explanation:

Given : 3 + (2 + 8)power 2 ÷ 4 × 1 over 2 to the power of 4

Mathematically written as

We apply BODMAS,

Where ,

B stands for brackets

O stands for order

D stands for division

M stands for multiplication

A stand for addition

S stands for subtraction.

Consider the given expression,

Using BODMAS rule, solving for brackets first,

Thus, the value of expression  is

7 0
3 years ago
The diagram shows the net of a juice box. The box is a rectangular prism.
Hoochie [10]

Answer:

269.6 square centimeters

Step-by-step explanation:

<u><em>The correct question is</em></u>

The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm

we know that

The surface area of a rectangular prism is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

L=6.4\ cm\\W=4\ cm\\H=10.5\ cm

<em>Find the area of the base B</em>

B=LW

substitute the given values

B=(6.4)(4)=25.6\ cm^2

<em>Find the perimeter of the base P</em>

P=2(L+W)

substitute the given values

P=2(6.4+4)=20.8\ cm

<em>Find the surface area</em>

SA=2B+PH

substitute  

SA=2(25.6)+(20.8)10.5=269.6\ cm^2

6 0
3 years ago
HELP ME PLZ ASAP 80 POINTS
KiRa [710]

Answer:

Slope:-1/3

y-intercept: (0,2)

x        y

0       2

6       0

Hope this helps a little

5 0
3 years ago
Can a translation and a reflection map QRS to TUV? Explain why or why not. No, the triangles are not congruent. Yes, a translati
N76 [4]

Answer:

The answer is B

Step-by-step explanation:

just took the answer on e2020

5 0
3 years ago
Read 2 more answers
What is the average rate of change for ƒ(x) = −3^x+ 79 over the interval 2 ≤ x ≤ 4?
Alinara [238K]

Answer:

The average is 124

Step-by-step explanation:

When x=2 substitute into the equation given above

-3^2+79

9+79=88...(1)

When x=4

-3^4+79

81+79=160(2)

Average of (1) and (2)

160+88/2

=248/2

=124

Therefore the average rate is 124

5 0
3 years ago
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