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3 years ago

What is the value of the missing side x?

Mathematics

1 answer:

stich3 [128]3 years ago

4 0

Answer: $3*\sqrt{3}$ = x

Step-by-step explanation:

With our knowledge of a 30 60 triangle we can determine the value a from dividing 6 by 2. Look at my diagram for clarification. From now know the value of a as 3 we can make x = $3*\sqrt{3}$ .

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Determine if the relation is a function. In your handwritten work, explain why or why not.

Anna35 [415]

Answer:

Step-by-step explanation:

Its not a function. The reason its not a function is because it doesnt pass the vertical line test. You could graph these points physically or you could think about it. The domain is the x value, while the range is the allowed y values. So by having the same x value relate to two different y values, just makes no sense. Imagine the function is x+4 and we are given in that graph that when x equals 6, the y equals 9 and 10. That isnt possible because we know the answer is 10, not 9, it cant be both.

Another way you could prove this is by graphing. If you try to take the slope in that interval where 6 coorelates to two y values. The change in y is 1, but the change in x is 0. When you divide 1/0, your calculator blows up. Try it

6 0

3 years ago

What is 9minus w = to

skad [1K]

9 - w = 2

9 - 7 = 2

If this is what you mean.

7 0

3 years ago

Read 2 more answers

What is (3+21)-4 divides by 2

katen-ka-za [31]

1. -4 times 3 and 21
2.add -12 and -84
3.-96 dived by 2
4 equals -48

3 0

4 years ago

Read 2 more answers

6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A

Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

$42 + 0.72m = 70 + 0.12m$

Collect like terms

$0.72m - 0.12m = 70 - 42$

$0.6m = 28$

Divide both sides by 0.6

$\frac{0.6m}{0.6} = \frac{28}{0.6}$

$m = 46.7$

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0

3 years ago

A new gas- and electric-powered hybrid car has recently hit the market. The distance traveled on 1 gallon of fuel is normally di

Doss [256]

Answer:

a) P [ Z > 70 ] = 0.1075 or 10.75 %

b) P [ Z < 60 ] = 0.1038 or 10.38 %

c) P [ 55 ≤ Z ≤ 70 ] = 0.8882 or 88.82 %

Step-by-step explanation:

Normal Distribution μ = 65 and σ = 4

a) The probability of the car travels more than 70 miles per gallon is:

P [ Z > 70 ] = (Z-μ) ÷ σ ⇒ P [ Z > 70 ] = (70-65) ÷4 P [ Z > 70 ] = 1.25

the point 1.25 corresponds at values, from left tail up to 70 so we must go and look for the area for the point 1.24 which is 0.8925. Then we have the area or probability of all cars traveling up to 70 miles therefore we have to subtract 1 -0,8925

P [ Z > 70 ] = 0.1075 or 10.75 %

b)The probability of the car travels less than 60 miles per gallon is:

P [ Z < 60 ] = ( 60 - μ ) ÷ σ ⇒ P [ Z < 60 ] = (60-65)÷ 4 P [ Z < 60 ] = -1.25

Again -1.25 corresponds to 60 miles per gallon threfore we move to the left and find for point -1.26 which area is 0.1038 so

P [ Z < 60 ] = 0.1038 10.38 %

c) P [ 55 ≤ Z ≤ 70]

For point Z = 70 or 1.25 (case a above) P [ Z ≤ 70] = (70-65)÷4

P [ Z ≤ 70] = 1.25

In this case we got the whole area from the left tail up to 1.25

P [ Z ≤ 70] = 0.8944 (includes the area of the point from the left tail up to the point assocciated to 55 miles and for that reason we have to subtract that area)

P [ Z ≥ 55 ] = (55-65) ÷ 4 P [ Z ≥ 55 ] = -2.5 and the area is 0.0062

So P [ 55 ≤ Z ≤ 70 ] = 0.8944 - 0.0062 = 0.8882

8 0

4 years ago