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Harlamova29_29 [7]
3 years ago
10

Carlolyn determines that the area of a white triangle is half the area of a shaded triangle because the ratio of the side length

s of a white triangle to a shaded triangle is 3/6. Is Carolyn correct?Explain. What is the ratio of the area of the shaded pieces to the area of the white pieces? Show your work
Mathematics
1 answer:
rjkz [21]3 years ago
5 0
Ok so

area=1/2 times base times height
lets say base and height=3 for one triangle and
base and height=6 for another
area1=1/2 times 3 times 3=9/2
area2=1/2 tmes 6 times 6=18
areas are

9/2 to 18=9:36=1:4
3:6=1:2
is 1:2=1:4? no

ratio is 1:4
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How would you do these questions?
Pepsi [2]

Step-by-step explanation:

1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)

P(light OR domestic) = 0.62 + 0.70 − 0.55

P(light OR domestic) = 0.77

2. P(light AND not domestic) = P(light) − P(light AND domestic)

P(light AND not domestic) = 0.62 − 0.55

P(light AND not domestic) = 0.07

3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)

P(light GIVEN not domestic) = 0.07 / (1 − 0.70)

P(light GIVEN not domestic) = 0.233

4. Two events are independent if P(A) × P(B) = P(A and B).

P(light) × P(domestic) = 0.62 × 0.70 = 0.434

P(light AND domestic) = 0.55

Therefore, the type and location are not independent.

3 0
3 years ago
The trail is a loop that is 3/4 of a mile long. On Monday, Selma land the loop in 1/6 of an hour. What is selmas unit rate in mi
Dafna11 [192]

Answer:

1/10

Step-by-step explanation:

3/4 add 1/6

4 0
3 years ago
PLZ HELP
Alex

Answer:

The correct option is C ) 109.5°

Therefore,

m\angle E=109.5\°

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}

Substituting the values we get

\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}

\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}

Therefore,

\angle E=\cos^{-1}(-0.3333)

m\angle E=109.5\°       ............As it is in Second Quadrant

Therefore,

m\angle E=109.5\°

4 0
3 years ago
Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account
Zolol [24]

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36

Amelia:

A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95

Amelia-Melanie= $13,082.60

6 0
2 years ago
A manufacturing company with 450 employees begins a new product line and must increase their number buy 18% how many total emplo
Soloha48 [4]

Answer:

After increasing their employees by 18% they will now have 531 total employees.

Step-by-step explanation:

0.18 x 450 = 81

81 + 450 = 531

7 0
3 years ago
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