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Mrrafil [7]
3 years ago
8

Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the d

istance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer:

60

Step-by-step explanation:

area of triangle ACF is (1/2) (AC) (CF) = 180

area of triangle BCE = (1/2) (BC) (CE)

BC = AC/2

CE=(2/3) CF

so (1/2) (BC) (CE) = (1/2) (AC/2) (2/3)CF = (1/2)(2/3)(180) = 60 sq cm

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Paha777 [63]

Answer:

Je ne parle pas français donc j'utilise un traducteur. J'espère qu'il n'y a pas trop d'erreurs. Le frère de Maurice a dépensé 5,20 $ et Maurice 20,80 $

Step-by-step explanation:

7 0
3 years ago
Find the vertex of the graph of the function.<br> f(x) = 2x2 - 8x + 9
Katen [24]

Answer:

(2, 1).

Step-by-step explanation:

f(x)=2x^2-8x+9

Find -b/2a first, it's -(-8)/2(2)=8/4=2.

Then find the y-coordinate of the vertex.

2(2)^2-8(2)+9=2(4)-16+9=8-16+9=-8+9=1

8 0
4 years ago
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
Burka [1]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of  \pm 5\% with 99 %confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Answer:

The value is  n = 666

Step-by-step explanation:

From the question we are told that

   The  margin of error is  E =  0.05

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } = 2.58

Here we will assume that the sample proportion of those who support a proposed gun control law to be  \^ p =  0.5 because  from the question they do not have any prior knowledge about the proportion who might support the law

Generally the sample size is mathematically represented as

      n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = 666

 

8 0
3 years ago
Antonio gave 21 tomatoes to his neighbor and 15 to his brother .he had 72 tomatoes before giving some away .how many tomatoes do
Butoxors [25]
He has 36 tomatoes left. Since he had 72 tomatoes in the beginning but gave away 21 to his neighbor and 15 to his brother, you have to subtract those two values from 72. The equation would be 72-21-15 which results in 36. Therefore, Antonio has 36 tomatoes left.
8 0
3 years ago
Read 2 more answers
There are 4 white and 8 red roses in a bouquet. Find the ratios.
kramer

Answer:

1a) 1:2

1b) 2:3

Step-by-step explanation:

1a) 4:8 = 1:2

1b) 4 white and 8 red means 12 total so ratio for red would be 2:3

3 0
4 years ago
Read 2 more answers
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