Find the distance between A(-4,4) and B(-2,2). Round your answer to the nearest tenth.

Answer:

104 ft²

Step-by-step explanation:

The area of the rectangle is represented by the following:

8ft x 10 ft = 80 ft

The area of the triangle is represented by the following:

(6ft x 8ft) divided by 2 = 24

By combining the values, you get 104 square feet.

Answer:

[tex]y=-\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

So, all we have to do is make y the subject.

[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]

Answer:

y = (3/2)x - 15

Step-by-step explanation:

For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.

Original:

-3x - 2y = 30

and we want y to be the subject, so we start moving terms:

-3x = 30 + 2y

-3x - 30 = 2y

now it's just a matter of dividing both sides by 2 to give y as the subject

(-3/2)x - 15 = y

y = (-3/2)x - 15

Answer:

85 km

Step-by-step explanation:

[tex]68^{2} +51^{2} =c^{2}[/tex]

4,624+2,601 = [tex]c^{2}[/tex]

7,225 =[tex]c^{2}[/tex]

Square both side and you get your answer 85km

Answer:

No

Step-by-step explanation:

Kenji's kite uses more paper

Answer:

sorry I can't understand the word

Answer:

though the answers given don't make sense. the best given answer is A. angle 3 should be 113 instead of 103

Answer:

70°

Step-by-step explanation:

90 + 20 + x = 180

110 + x = 180

x = 180 - 110

x = 70°

Answer:

60 degrees

Step-by-step explanation:

The angles are 30 and 90 degrees ( i think it was 30 degrees it wasn't a clear picture. )

A triangle it 180 degrees in total.

SO if we add 30 and 90

30 + 90 = 120

We'll get 120.

We then suptract 120 from 180

180 - 120 = 60

So the degree of x will be 60 degrees.

120 + 60 = 180

Answer:

1

Step-by-step explanation:

Answer:

$64188.26

Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

Answer:

$806275

Step-by-step explanation:

type it exactly like that, ap*x

Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)

Answer:

27

Step-by-step explanation:

start with {5*(13-8)+12/6}

simplify to get:

(5*5)+12/6

simplify to get:

25+12/6

simplify to get:

25+2

simplify to get your answer:

27

Answer: answered

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1 mile is approximately 1.6 kilometers)

Step-by-step explanation:

Answer:37.5

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

you can make it into a fraction just putting it like this 9/12

well 12 - 9 = 3

so we divide by it

9÷3 = 3

12÷3 = 4

lastly you put these as a fraction

3/4

I hope this helps :)

Answer:

$5.38 per pound

Step-by-step explanation:

70/13=5.384615

5.38x13=69.94

Answer:

57+20= 90 (false)

40+39= 79 (true)

Answer:

14 * 9(-9) - 8 = 1142               9 - 45(-3) + 7 = 151

Step-by-step explanation:

14 * 9(-9) - 8 = 1142               9 - 45(-3) + 7 = 151

(This one is true)                  (This one is false)

Answer:

7x3=21

Step-by-step explanation:

7+7+7=21, 7x3=21

Answer:

3.4

Step-by-step explanation:

will 3.4 is is rounded of 54256 in decamal

Answer:

53 in.

Step-by-step explanation:

17 + 24 + 12=53

don't forget the in.

Answer:

A The ratio of the areas is the square of the ratio of the side lengths.

Step-by-step explanation:

10  x 3.5 = 35 and would be the same size each

35 x 35 = 1225

Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49

Therefore just from doing this we can find easily by referring back to ratio above shown.

D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true

sqrt 1225 is 35 and becomes a square root of the area

Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.

when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35

We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-

1225/49 = 25 same   here we have the area same ratio as

100/4 = 25 same

10:35 = 3.5^2  + 3.5^2 =12.50 + 12.50 = 25

A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25

Answer:

A. The ratio of the areas is the square of the ratio of the side lengths. Is correct.

Hope this helps!

a) The value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) The rate of change of the angle with respect to x is -0.000308rad/m

Find the complete question and diagram attached

Form the right-angled triangle shown:

Adjacent side = x

Opposite side = 250m

angle of elevation  = [tex]\theta[/tex]

Using the SOH CAH TOA identity

[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]

Hence the value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) If x = 450m

[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]

Differentiate both sides with respect to "x"

[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]

Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:

[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]

Hence the rate of change of the angle with respect to x is -0.000308rad/m

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Answer:

10

Step-by-step explanation:

The probability of getting a sample without any defect is 1 / 6.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that are ready to be shipped.

Total batteries = 24

Total non-defective batteries = 24 - 6 = 18

Probability = Number of favourable outcomes / Number of sample

Probability = 3 / 18

Probability = 1 / 6

Therefore, the probability of getting a sample without any defect is 1 / 6.

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If Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour then she worked for 7.5 hours.

The total amount she made is the sum of her tips and her regular rate:

Total Earnings = Tips + Regular Rate

Given that:

Tips = $67

Regular Rate = $10 per hour

Total Earnings = $142

We can set up the equation:

142 = 67 + 10h

Now, solve for "h" (the number of hours Maura worked):

10h = 142 - 67

10h = 75

h = 75 / 10

h = 7.5

Hence, Maura worked for 7.5 hours yesterday.

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Answer:

-4 and -2✓6+3

Step-by-step explanation:

use pemdas

1(1-8)÷✓1 + 3

-7÷1+3

-4

6(6-8)÷✓6+3

-12÷✓6+3

multiply fraction by ✓6 on bottom and top to get rid of square root on bottom

-12✓6÷6+3

divide -12 by 6 and put radical next to it

-2✓6+3

Answer:

( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need

(a) 305 (?)

(b) Fields, monroe

(c) Treevale