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MariettaO [177]
3 years ago
10

The ideal width of a safety belt strap for a certain automobile is 7 cm. An actual width can vary by at most 0.3 cm. Write an ab

solute value inequality for the range of acceptable widths.
A.|w – 0.3| ≤ 7

B.|w + 7| ≤ 0.3

C.|w – 7| ≤ 0.3
Mathematics
1 answer:
tester [92]3 years ago
6 0
<span>
</span>(7-.3) \leq w \leq (7+.3)&#10;

6.7 \leq w \leq 7.3

w - 7 = -0.3

w = 6.7

So the answer is

<span>C. |w – 7| ≤ 0.3</span>
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The area of a rectangle is 108 m2 and its diagonal is 15 m. Find
Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0
3 years ago
Read 2 more answers
Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the averag
Anit [1.1K]

Answer:

<u><em>I HOPE IT WILL WORK</em></u>

Step-by-step explanation:

As  for average rate of change we know

A(x)=f(5)-f(3)/(5-3)

where

f(x)=3 x 3 + 2       (1)

putting x=5 we get

f(5)=3(125)+2 =377

f(3)=83

hence putt in (1)  we get

A(x)=294/2 =146

this is required average rate of change

thanks if you like it hit the stars and brain-list it

4 0
4 years ago
Help please I dont understand this math problem
Nostrana [21]

Answer:

24

Step-by-step explanation:

4*3*2=24 there your answers I hope this helps

8 0
3 years ago
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Evaluate (13+2) Divided by(9-4)
skelet666 [1.2K]

Answer:

=3

Step-by-step explanation:

following the order of operations, whatever is in the parentheses gets done first. so you would add 13 + 2 and get 15. then you would subtract 9-4 and get 5. then you would divide the numbers that you got and get 3.

6 0
4 years ago
Read 2 more answers
Form a union for the following sets. K = {2, 3, 5, 8} L = {3, 5, 7}
Kisachek [45]
A union for sets means you combine the two sets together. The symbol of a union is ∪, so we can represent this question with K <span>∪ L.

You simply must combine the two sets together without repeating any of the same numbers.

K </span><span>∪ L = {2, 3, 5, 7, 8}.</span>
7 0
3 years ago
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