All categories

3 years ago

Can someone help with this??

Mathematics

2 answers:

Ahat [919]3 years ago

8 0

Answer: x= 9.2

Scale Factor is 2.5

Step-by-step explanation:

1. Divide 17.5 by 7 to find scale factor

2. So 17.5/7=2.5

3. Divide 23 by 2.5 to find x

4. So 23/2.5=9.2

Zanzabum3 years ago

4 0

Answer:

Scale Factor: 2.5

x = 9.2

Step-by-step explanation:

So, the simple way to find this is by first figuring how much the new triangle has shrunk. Since they gave you both the bottom numbers, all you have to do is divide 17.5 by 7 to give you the scale factor of 2.5. You will use this scale factor to divide the 23 and get your answer of 9.2.

I hope this helps!

You might be interested in

Rewrite the fraction with the denominator of 33 6/11=/33

Sonja [21]

You would time the denominator by 3 so 11*3 would be 33 then times the numerator by the same so 6*3 soot would be 18/33

7 0

3 years ago

In August, 85% of the middle school students voted in a school election. The number of students who voted was 544. How many stud

Maksim231197 [3]

Answer:

640 students

Step-by-step explanation:

544 divided by 85%= 640

5 0

3 years ago

The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter

Nostrana [21]

Answer:

Part a) The volume of the original pyramid is $15\ cm^{3}$

Part b) The volume of the pyramid increases by $6\ cm^{3}$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of pyramid

see the attached figure to better understand the problem

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

$B=3^{2}=9\ cm^{2}\\h=5\ cm$

substitute

$V=\frac{1}{3}(9)(5)=15\ cm^{3}$

Step 2

Find the volume of the new pyramid

$B=9\ cm^{2}$ -------> the area of the base is the same

$h=5+2=7\ cm$ ------> the height increase by

substitute

$V=\frac{1}{3}(9)(7)=21\ cm^{3}$

Subtract the original volume from the new volume

$21\ cm^{3}-15\ cm^{3}=6\ cm^{3}$

5 0

3 years ago

Which algebraic expression is a monomial term?

ICE Princess25 [194]

Answer:

Step-by-step explanation:

Terms of a polynomial expression are separated by + or - signs. If there is only one term, there is no need to separate terms with such signs.

The one-term expression is ...

45x³y

<em>Additional comments</em>

If the coefficient of a one-term expression is negative, there will be a leading minus sign. There won't be another term on the other side of that sign.

The given expressions appear to suffer from poor editing. Ordinarily, exponents are rendered using a superscript font, as the 3 is in the first expression. However, the second term of that expression is 1x2, which we understand to be 1x². If the 2 were intended as a multiplier, rather than an exponent, we would expect it to be combined with the coefficient 1 in that term to give (xy)³ -2x.

It is this assumption that leads us to write 45x3y as 45x³y. If that is not the intention of the given expression, it could be simplified to 135xy.

Ordinarily, if an exponent is not rendered in superscript font, we expect it to be identified by the caret (^) operator, as in 45x^3y.

5 0

1 year ago

The value pi/24 is a solution for the equation 4 cos^4 (4x)-3

MatroZZZ [7]

Answer:

False

Step-by-step explanation:

4 cos^4 (4x)-3 = 0

Substitute into the equation

4 cos^4 (4pi/24)-3 = 0

4 cos^4 (pi/6)-3 = 0

Take the cos pi/6

4 ( sqrt(3)/2) ^4 -3 =0

Take it to the 4th power

4 ( 9/16) -3 =0

9/4 -3 =0

9/4 - 12/4 = 0

-3/4 =0

False

8 0

3 years ago