All categories

3 years ago

Please help with math

Mathematics

1 answer:

Andru [333]3 years ago

6 0

Answer:

Scale factor = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

You might be interested in

Which set represents the same relation as the graph below?Which set represents the same relation as the graph below?

Irina18 [472]

Answer:

huh

Step-by-step explanation:

huh

3 0

4 years ago

Read 2 more answers

If a = b + c and c ___ 0, then a > b. A.< B.= C.>

tia_tia [17]

If a = b + c and c > 0, then a > b

4 0

3 years ago

A volume of a coin is 113.04 mm2 what is the approximate of a sphere that has the same height and a circular base with the same

tia_tia [17]

We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.

We know that volume of cone is $\frac{1}{3}\pi r^2\cdot h$ .

The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

$h=2r$

Upon substituting $h=2r$ in volume of cone, we will get:

$V=\frac{1}{3}\pi r^2\cdot 2r$

$V=\frac{2}{3}\pi r^3$

We know that volume of sphere is $V=\frac{4}{3}\pi r^3$ .

Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

$V=2(\frac{2}{3}\pi r^3)$

Since $\frac{2}{3}\pi r^3=113.04$ , so volume of sphere would be:

$V=2(113.04)$

$V=226.08$

Therefore, volume of sphere would be 226.08 cubic mm.

4 0

4 years ago

Can someone help consider the following expression

satela [25.4K]

Answer:

9u is a term

4 is a constant

Step-by-step explanation:

Coefficient is the number in front of the variable

3 0

3 years ago

Read 2 more answers

A grocery store recently sold 10 cartons of yogurt, of which 4 were raspberry. Based on past data, how many of the next 15 carto

zloy xaker [14]

Answer:

6 cartons

Step-by-step explanation:

4 is 40% of 10

so you need to find 40% of 15

15*.4=6

.4 is equal to 40%

8 0

4 years ago