The legend of a map says that 1 inch = 50 kilometers How many kilometers are in 7.5 inches?

Answer:

a)

Step-by-step explanation:

Given:  Step 3

(JK)² = LK · MK  and  (LJ)² = LK · ML

Step 4

Addition property of equality

(JK)² + (LJ)² = LK · MK + LK · ML

Step 5

Distributive property

(JK)² + (LJ)² = LK (MK + ML)

Option A

addition property of equality

So

And

Distributive property

Hence option A is correct

Answer:

5.83

Step-by-step explanation:

9 / 7.50 = 0.833(repeating)

8.33(repeating) * 7 = 5.833(repeating)

Simplify 5.833(repeating)

Answer:

5.83

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

25°-27°= -2°

At noon, the temperature outside was 25 degrees. By 8:00pm, the temperature had dropped 27 degrees. What was the temperature outside at 8:00pm, in degrees?

= 25 - 27

= - 2°

Answer:

no increase

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest value = 9 and smallest value = 3 , then

range = 9 - 3 = 6

replacing 8 by 5 has no effect on the above 2 values , so no change

Answer:

The range would stay the same.

Step-by-step explanation:

The old set is 6 9 3 6 8 6 3

- range is 9-3 = 6.

The new set is  6 9 3 6 5 6 3

which has a range of 9 - 3 = 6.

Answer:

D

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

D is correct.

Step-by-step explanation:

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

[tex]V=w\times h\times l[/tex]

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

[tex]V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3[/tex]

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

[tex]n=8160\times2.5\\n=20400\rm\; btus[/tex]

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.



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Answer:

20,400 BTUs

Step-by-step explanation:

Answer:

The Area of the shaded region :

(x²)(4x-1) - (5x)(x+7) =

4x³ - x² - 5x² - 35x =

4x³ - 6x² - 35x

Answer:

The area of the base is 24 [tex]cm^{2}[/tex]

The volume is 168 [tex]cm^{3}[/tex]

Step-by-step explanation:

The area of the base is found by solving [tex]0.5*6*8[/tex], because that is the formula for the area of a triangle.

The volume is found by multiplying the area of the base by the height: [tex]24*7=168[/tex]

Answer:

9/10.

Step-by-step explanation:

3 3/4 ÷ (1 2/3 + 2 1/2)​

= 3 3/4 / ( 5/3 + 5/2)

= 3 3/4 / ( 10/6 + 15/6)

= 3 3/4 / 25/6

= 15/ 4 / 25/6

= 15/4 * 6/25

= 90/100

= 9/10.

The first group of three wolves can be formed in 28 ways.

We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.

What is the meaning of combination?

A combination is a combination of n things taken k at a time without repetition.

We need to choose 1 male wolf out of 1 wolf male. So  we can choose one wolf as

[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]

We can choose 1 male wolf in only 1 way.

Since the female wolfs are identical that means order doesn't matter, so we will use combinations.

We can choose 2 female wolves out of 8 as

[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]

Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.

We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.

Number of ways farming first group of three wolves

1(28)=28

Therefore, the first group of three wolves can be formed in 28 ways

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Answer:

£27

Step-by-step explanation:

1:3 = M:H

Mark gets £9

1 = £9

3: £9 x 3 = £27

Answer: the answer is £27

Step-by-step explanation: it is related to ratio if mark gets 9 so 9 times 3 . Equals to 27 . You can make criss cross way . 1 won't make the answer different. Hope it helps

Answer:

512√3 - 320√15 + 16√6

Step-by-step explanation:

4^3√192 simplified is 64√192. This can be simplified even further to 512√3. 4^3√375 simplified is 64√375, which is 320√15. 2^3√24 simplified is 8√24, which is 16√6. Therefore the answer is 512√3 - 320√15 + 16√6.

Answer:

D. [tex](-2)^6[/tex]

Step-by-step explanation:

There are six (-2), so it would be D. since C. would just mean [tex]2^6[/tex] and turn that negative.

You can check using a calculator that (-2)(-2)(-2)(-2)(-2)(-2) would equal 64 while C. equals -64. So the correct answer would be D.

Answer:

4

Step-by-step explanation:

First, rewrite the equation with -5 substituted for A:    (-5)^2 +5(-5) +4
Next, simplify that equation:      25 -25 +4
Simplify this further: 4

When A=-5, the solution is 4.

Answer:

849in 2

Step-by-step explanation:

sally needs to wrap a birthday gift.

the surface area of the gift is 894 in 2.

the formula for surface area of a rectangular prism is S = 2(lw + lh + wh).

to use the formula . i added (lw + lh+ wh) then multiplied it by 2 . so sally will need 894in2 of wrapping paper for the gift.

area of triangle = W × B

area of a triangle is = 552/8

552/8 = 37/4 × W

552/8 = 37W/4

8•37W = 4•552

296W = 2208

W = 7.5

width : 7.5 feet

Explanation:

area of rectangle : Length * Width

Given,

solve:

[tex]\rightarrow \sf 69\dfrac{3}{8} = 9\dfrac{1}{4} * Width[/tex]

[tex]\rightarrow \sf \dfrac{69.375}{9.25} = width[/tex]

[tex]\rightarrow \sf width = 7.5[/tex]

Answer:

0.

Step-by-step explanation:

1.8 + 3.4 = 5.2.

The sum of two sides is less than the length of the third side (5.6 cm)  so the answer is 0 triangles,

Answer:

ok so 5/10ths is also 3/6ths or 2/4ths or 1/2

Step-by-step explanation:

Step-by-step explanation:

I think it will help you.

Look at the example

Let's use mid-term splitation

[tex]\\ \rm\rightarrowtail 6x^2-5x-6[/tex]

[tex]\\ \rm\rightarrowtail 6x^2+4x-9x-6[/tex]

[tex]\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)[/tex]

[tex]\\ \rm\rightarrowtail (2x-3)(3x+2)[/tex]

Answer:

abnormal condition of sardines

Step-by-step explanation:

what?

Answer:

72

Step-by-step explanation:

1 large cube is 2 x 3 cubes equals 6

length is 3 x 4 x 2 = 24

24 x 3 = 72 for each layer

72 x 2 = 144 smaller cubea

Answer:

[tex]\sqrt{2}[/tex] A.

Step-by-step explanation:

There's a few ways you can go about solving this, but the way I would go with is using sine law.

Sine law:

[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]

in the equation above 'A' an angle, and 'a' would be the length of the side opposite to it. Same thing for B.

You are given the angle 90 degrees, and its opposite side length is 2.

You are also given 45 degrees from one of the corners but it doesn't tell you its side length.

There is one corner where it doesn't tell you the angle but you can figure it out using the law that the angles in a triangle must add up to 180 degrees.

So you subtract the other angles to find the angle of the bottom right angle.

180-90-45 = 45

The reason we want to find that angle, is so we can use sin law to find s.

Write down what you have so far:

[tex]\frac{sin90}{2} = \frac{sin45}{s}[/tex]

Now all you need to do is solve for s.

[tex]\frac{sin90*s}{2} = \frac{sin45}{1}[/tex]

sin 90 is 1.

[tex]\frac{1*s}{2} = sin45\\ \\s = 2*sin45\\\\[/tex]

Now since the answers available are in exact values, you can't just punch this in your calculator.

[tex]sin45 = \frac{\sqrt{2} }{2}\\ \\[/tex]

so,

[tex]s = 2*\frac{\sqrt{2} }{2} = \sqrt{2}[/tex]

The standard form of a circle shows the center and the radius

The equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57

The standard equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2

Where:

Center= (a,b)

Radius = r

Assume that:

(a,b) = (-5,3)

r = [tex]\sqrt{[/tex]57

The equation of the circle would be:

(x + 5)^2 + (y - 4)^2 = ([tex]\sqrt{57[/tex])^2

Evaluate the exponent

(x + 5)^2 + (y - 4)^2 = 57

Hence, the equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57

Read more about circle equations at:

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The conclusion about the detergents in the sampling is D.Inferences cannot be made about the population of fabric from which the pieces were chosen.

Sampling is the selection of a subset of individuals that are gotten from a statistical population in order to estimate the characteristics of the whole population.

In this case, inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.

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Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

:) Hope this helps you with what you're working on!

Answer:

well, here's the formula!

Step-by-step explanation:

area = (1/2) · (p + q) · h

Answer:

4/5

Step-by-step explanation:

Here is how to solve:

We start with a term called Rise over Run. We rise up 4. We then will run to the right 5. We have a slope of 4/5x. If the line is going up, then it will be a positive slope. If the line is going down., then it will be a negative slope. So, the line is going up, so it would be a positive 4/5x

Answer:

Positive slope or (2,3)_(-3,-2)

Step-by-step explanation:

I don't find your question very clear, but I have two possible answers for you.

Positive slope, the type/name of the slope.

(2,3)_(-3,-2), the coordinates.

I hope this answers your question ^^