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3 years ago

The scale of a map is 1 inch = 25 miles. How many miles does 1.25 inches represent?

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

31.25 miles because I don’t know

kiruha [24]3 years ago

3 0

Answer:

31.25

Step-by-step explanation:

25/4= 6.25 so 25+6.26= 31.25

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If the relative frequencies are 0.48 and 0.52, which

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Answer:The Last One

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What is 2 and 5/8 shown as a decimal

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The answer to your question is 2.625

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Circle P has a circumference of approximately 75 inches.

photoshop1234 [79]

Answer:

12in is you answer

Step-by-step explanation:

The formula to find circumference is $C=2\pi r$

so to rearrange to solve for radius that will be $r=\frac{C}{2\pi }$

= $\frac{75}{2\pi }$

=11.94in

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3 years ago

Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

3 years ago

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Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when

solong [7]

Answer:

A) Area as function of H ,

F'(a) = 2 +H

B) Area of triangle with height 6ft = 30 ft²

Step-by-step explanation:

Given as for a triangle ,

Let the height of triangle = H ft

And base = 4 ft + H ft

Now area of triangle = $\frac{1}{2}$ × height × base

F (a) = $\frac{1}{2}$ × H × ( 4ft + H ft)

Or, F (a) = $\frac{1}{2}$ × ( 4H + H² )

Now, here Area is function of height ,

So , F'(a) = $\frac{1}{2}$ (4 + 2H)

Hence Area as function of H ,

F'(a) = 2 +H

Now For height = 6 ft

Area of triangle = $\frac{1}{2}$ × height × base

= $\frac{1}{2}$ × H × ( 4ft + H ft)

= $\frac{1}{2}$ × ( 4H + H² )

= $\frac{1}{2}$ × ( 24 + 36 )

= $\frac{1}{2}$ × ( 60 )

= 30 ft²

Hence Area of triangle with height 6ft = 30 ft² Answer

6 0

3 years ago