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Natasha_Volkova [10]

2 years ago

13

Find the length of the leg of a right triangle with leg length b= 21.5 inches and the hypotenuse c= 31.9 inches. Use a calculato

r to estimate the square root to one decimal place.

1 answer:

sweet [91]2 years ago

8 0

Answer:

23.6 (approximate value)

Step-by-step explanation:

a*a+b*b=c*c Pythagorean thereom
(21.5)^2 + b*b = (31.9)^2
b*b= 1017.61 - 462.25
√b*b= √555.36
b=23.6(approximate value)

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sergejj [24]

Answer:

1/6

Step-by-step explanation:

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2 years ago

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.

Advocard [28]

The volume of a sphere is given by:

$V= \frac{4}{3} \pi r^{3}$

So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:

</span> $V=\pi \int_{a}^{b}[f(x)]^{2}dx$
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Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:

</span> $x^{2}+y^{2}=r^{2}$
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Isolationg y:

</span> $y= \sqrt{r^{2}-x^{2}}$ <span>

So,

</span> $f(x)=y=\sqrt{r^{2}-x^{2}}$ <span>

</span> $V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx$
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</span> $V=\pi \int_{a}^{b}(r^{2}-x^{2})dx$ <span>

being -r and r the limits of this integral.

</span> $V=\pi \int_{-r}^{r}(r^{2}-x^{2})dx$
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Finally:
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2 years ago

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Yuki888 [10]

Since the triangle formed is similar, then the ratio of the triangle height(horizontal distance) and the base of the triangle(the person and image height) will be same. The calculation would be:

a/b= c/d
16in / (4ft + 8in)= c/ (5ft + 3in)
16in/(48in + 8in)= c/ (60in + 3 in)
16in/64in= c/63in
c=1/4 * 63 in= 15.75 in= 16inch

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2 years ago

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A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and

Basile [38]

Answer:

(E) 0.83

Step-by-step explanation:

We will solve it using conditional probability.

Let A be the event that a TV show is successful.

P(A) = 0.5

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P(A') =0.5

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P(B) = 0.6

Let B' be the event that the response was unfavorable/

P(B') = 0.4

P(A∩B) = 0.5 and P(A∩B') = 0.3

We need to find new show will be successful if it receives a favorable response.

P(A/B) = $\frac{P(A∩B)}{P(B)}$

= 0.5/0.6

= 0.833

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julia-pushkina [17]

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cross multiply

60x=54,000 then

60x/60=54,000/60

x=900

so 900 people preferred hamburger

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