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3 years ago

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At a school, 43% of students attend the homecoming football game. Only 23% of students go to the game and the homecoming dance.

What is the probability that a student who attends the football game also attends the dance? Round your answer to the nearest tenth.

1 answer:

Strike441 [17]3 years ago

5 0

9.89%

You can get this number by multiplying the two together.

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

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3 years ago

michael has a very large soup pot shape like a cylinder that has height of 15 inches and a radius of 6 inches

belka [17]

Answer:

1695.6 in³

Step-by-step explanation:

<em>Cylinder volume formula: V= πr²h</em>

<u>Given</u>

h = 15 in
r = 6 in

<u>Volume of soup pod</u>

V = 3.14*6²*15 = 1695.6 in³

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3 years ago

The slope between (250,120) and (300,90)

fgiga [73]

m = − 3/ 5 your welcome

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2 years ago

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Given that a rectangle has an area of 35cm^2 and a perimeter of 24cm. What are the length and width of the rectangle?

True [87]

Answer: width= 5cm Length= 7

Step-by-step explanation:

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3 years ago

Given x – 5 < One-fourth (y – 8)2, which graph represents the inequality?

Annette [7]

Step-by-step explanation:

x - 5 < 2 (y - 8) • 1/4

x - 5 < (y - 8) / 2

2 (x - 5) < y - 8

2x - 10 < y - 8

2x - 10 + 8 < y

y > 2x - 2

graph 2x - 2 and shade the section above

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3 years ago