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ivann1987 [24]
3 years ago
11

These marbles are placed in a bag and two

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

1/45

Step-by-step explanation:

P(Y,Y) = 2/10 x 1/9 which is 1/45 simplified

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The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are
Mashcka [7]

Answer:

The area of triangles are 16 cm^2 and 49 cm^2

Step-by-step explanation:

we know that

If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller triangle in square centimeters

y ----> the area of the larger triangle in square centimeters

we know that

z=\frac{4}{7}

\frac{x}{y}=z^2

so

\frac{x}{y}=(\frac{4}{7})^2      

\frac{x}{y}=\frac{16}{49}

x=\frac{16}{49}y -----> equation A

x+y=65 ----> equation B

solve the system by substitution

substitute equation A in equation B

\frac{16}{49}y+y=65

solve for y

\frac{65}{49}y=65

y=49\ cm^2

Find the value of x

x=\frac{16}{49}(49)

x=16\ cm^2

therefore

The area of triangles are 16 cm^2 and 49 cm^2

3 0
4 years ago
Read 2 more answers
Find KL and show work
MissTica

Answer:

<u>Secant</u>: a straight line that intersects a circle at two points.

<u>Intersecting Secants Theorem</u>

If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.

From inspection of the given diagram:

  • M = Exterior point
  • MK = secant segment and ML is its external part
  • MS = secant segment and MN is its external part

Therefore:

⇒ ML · MK = MN · MS

Given:

  • MK = (x + 15) + 6 = x + 21
  • ML = 6
  • MS = 7 + 11 = 18
  • MN = 7

Substituting the given values into the formula and solving for x:

⇒ ML · MK = MN · MS

⇒ 6(x + 21) = 7 · 18

⇒ 6x + 126 = 126

⇒ 6x = 0

⇒ x = 0

Substituting the found value of x into the expression for KL:

⇒ KL = x + 15

⇒ KL = 0 + 15

⇒ KL = 15

6 0
2 years ago
Read 2 more answers
WILL MARK BRAINLIEST!!!!!!! Use graphs and tables to find the limit and identify any vertical asymptotes of the function. limit
garri49 [273]

Answer:

see below

Step-by-step explanation:

lim x/ (x-4)

as x approaches 4 from the left

let x = 3.9

3.9/ (3.9-4) = -39

Let x = 3.99

3.99/ (3.99 - 4) =-399

As we get closer to 4 from the left we get larger and larger so we will get closer to - negative infinity

The limit as shown in the graph is negative infinity

The vertical asymptote is x=4

The horizontal symptote is y =1

8 0
4 years ago
N/4 &lt; -1 on a number line<br> -10x&gt;-100 on a number line <br> 5x&gt;20 on a number line
blsea [12.9K]
N/4 < -1 — we can multiply both sides with 4, so we dont have to deal with fractions.

N < -4

So, our N goes left from -4 on a number line.

-10x<-100 — divide both sides by 10
-x < -10
x > 10

X is from 10 rightwards.

5x>20 — divide both sides by 5
x > 4

X is rightwards from 4.


4 0
3 years ago
25 POINTS!!!!
morpeh [17]

Answer:

C) 154

Step-by-step explanation:

This is the formula A=πr^2 so, 3.14*7^2=153.86 so glad to help you this is my 100th math q!!!

6 0
3 years ago
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