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3 years ago

Line l was mapped to Line m as shown in the graph below. please help

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

Line I was translate up 5 units

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Which property justifies this question -5 x 12 = 12 x -5

cluponka [151]

Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Commutative Property of Multiplication is the switching of the order first factor (multiplicand) and the second factor (multiplier), which does not change the product. For example, 4 × 5 = 5 × 4

-5 × 12 = -60

12 × -5 = -60

8 0

2 years ago

How do you solve 3^(4x) = 3^(5-x)?

trasher [3.6K]

3^(4x) = 3^(5 - x)
4x = 5 - x
4x + x = 5
5x = 5
x = 5/5 = 1
x = 1

3 0

3 years ago

Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe

8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO $tan 65 = \frac{h}{45-x} = 2.14$

$h=2.14(45-x)$

From ΔBCO $tan80 = \frac{h}{x} = 5.67$

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore $cos80 = \frac{x}{OB}$

$0.174 = \frac{12.33}{OB}$

$OB = \frac{12.33}{.174}=70.86=71ft.$

Therefore 71 ft is the distance between B and the top of the hill.

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3 years ago

The National Association of College and University Business Officers collects data on college endowments. In 2015, its report in

Vikentia [17]

Answer:

Step-by-step explanation:

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3 years ago

If the mass of a proton is 2.34 × 10–14 grams, what is the mass of 1,000 protons?

Sergio [31]

The answer is 2.34 x 10-11 g

4 0

3 years ago