Ask question

Ask question

All categories

3 years ago

7

Two similar triangles are in the ratio 2:3. If the sides of the bigger triangle are 15 units, 12 units and 9 units, then the len

gth of the shortest side of the smaller triangle is
a. 8 units
b. 6 units
c. 9 units
d. 5 units

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

It is 6 units because if you divide 9 by 3 you get 3 and you multiple that by 2 to make it 6:9 which is equal to 2:3

You might be interested in

31/35 a su minima expresion<br>

OverLord2011 [107]

Answer:

0.8857142857

Step-by-step explanation:

31 divided by 35 equals 0.8857142857

Can I please have Brainliest? I am trying to earn 50 brainliest.

3 0

3 years ago

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone

nevsk [136]

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0

3 years ago

Find an equation of the line passing through the point (-1,8) and parallel to the line joining the points (-3,4) (4,-1).

bulgar [2K]

Answer:

The equation of the line will be $7y=(-5x)+51$

Step-by-step explanation:

If a line passes through two points (x,y) and (x',y') then slope of the line will be = $\frac{y-y'}{x-x'}$

Now we know the points are (-3,4) and (4,-1) then the slope of the line will be = $\frac{4-(-1)}{(-3-4)}$ = $\frac{5}{(-7)} =(-\frac{5}{7}$ )

We know that two parallel lines have the same slope then a line which is passing through a point (-1,8)will be =( $-\frac{5}{7}$ )

Let the equation of the line is y=mx+c

Then by putting the value of x,y and m we can get the value of c.

$8=(-\frac{5}{7})+c$

$c=8-\frac{5}{7} \\c=\frac{56-5}{7} =\frac{51}{7}$

Then equation will be $y=(-\frac{5}{7})x+\frac{51}{7}$

$7y=(-5x)+51$

5 0

4 years ago

There are 12 balls in a bag. One is blue and one is red. What is the exact probability that the blue ball is drawn first and the

Fiesta28 [93]

<h3>The exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$ </h3>

<em><u>Solution:</u></em>

<em><u>The probability of an event is given as:</u></em>

$Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}$

Given that,

There are 12 balls in a bag

One is blue and one is red

Favorable outcome = blue ball is drawn first

Favorable outcome = 1

Therefore,

$Probability = \frac{1}{12}$

Now, without replacement, red ball is drawn second

Therefore,

Total possible outcomes = 12 - 1 = 11

$Probability = \frac{1}{11}$

<em><u>What is the exact probability that the blue ball is drawn first and the red ball is drawn second?</u></em>

$Total\ probability = \frac{1}{12} \times \frac{1}{11} = \frac{1}{132}$

Thus the exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$

8 0

3 years ago

Please help this is due in 10 minutes!!!

Mandarinka [93]

Answer:

3053.63 un³

Step-by-step explanation:

Hello!

The diameter is 18, so the radius is half of the diameter, or 9.

Using the volume of a sphere formula: $\frac43\pi r^3$

Solve:

$\frac43\pi r^3$
$\frac43\pi *9^3$
$\frac43*729\pi$
$972\pi$
3,053.6280592893 ≈ 3,053.63

The volume is 3053.63 un³.

7 0

3 years ago