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3 years ago

Find the missing side lengths. Leave your answers as radicals in the simplest form.

Mathematics

2 answers:

maks197457 [2]3 years ago

4 0

Answer:

Does the answer help you?

klio [65]3 years ago

3 0

Answer:

x = 28, y = 14

Step-by-step explanation:

Use the property of 30°-60°-90° right triangle.

<u>The ratio of sides:</u>

a : b : c = 1 : √3 : 2

<u>Compare with the given:</u>

y : 14√3 : x = 1 : √3 : 2
y = 14√3 / √3 = 14
x = 2*14 = 28

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5. A survey of student pizza preferences showed that 43 students preferred cheese, 56 preferred sausage, 39 preferred pepperoni,

cestrela7 [59]

Answer:

P (Cheese) = 0.199, P (Sausage) = 0.259, P (Pepperoni) = 0.181,

P (Supreme) = 0.130, P (Another Kind) = 0.144

and P (Does not like any kind) = 0.088

Step-by-step explanation:

Given:

Number of students who prefer cheese = 43

Number of students who prefer sausage = 56

Number of students who prefer pepperoni = 39

Number of students who prefer supreme = 28

Number of students who prefer another kind = 31

Number of students who did not like any kind = 19

∴ The total number of students surveyed = $43+56+39+28+31+19=216$ The number of students who prefer pizza = $43+56+39+28+31=197$

The probability that a students likes pizza is,

$P(Student\ likes\ pizza)=\frac{No.\ of\ students\ who\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{197}{216} \\=0.912$

The probability that a students does not likes pizza is,

$P(Student\ does\ not\ likes\ pizza)=\frac{No.\ of\ students\ who\ does\ not\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{19}{216} \\=0.088$

The probability distribution of students who prefer different kinds of pizza is:

The probability that a student likes cheese:

$P(A\ Student\ prefers\ cheese)=\frac{No.\ of\ students\ who\ prefer\ cheese}{Total\ no.\ of\ students\ surveyed}$

$=\frac{43}{216}\\=0.199$

The probability that a student likes sausage:

$P(A\ Student\ prefers\ sausage)=\frac{No.\ of\ students\ who\ prefer\ sausage}{Total\ no.\ of\ students\ surveyed}$

$=\frac{56}{216}\\=0.259$

The probability that a student likes pepperoni:

$P(A\ Student\ prefers\ pepperoni)=\frac{No.\ of\ students\ who\ prefer\ pepperoni}{Total\ no.\ of\ students\ surveyed}$

$=\frac{39}{216}\\=0.181$

The probability that a student likes supreme:

$P(A\ Student\ prefers\ supreme)=\frac{No.\ of\ students\ who\ prefer\ supreme}{Total\ no.\ of\ students\ surveyed}$

$=\frac{28}{216}\\=0.130$

The probability that a student likes another kind:

$P(A\ Student\ prefers\ another\ kind)=\frac{No.\ of\ students\ who\ prefer\ another\ kind}{Total\ no.\ of\ students\ surveyed}$

$=\frac{31}{216}\\=0.144$

Thus, the probability distribution table is displayed below:

6 0

3 years ago

To the nearest foot, what is the height of the fireworks when they explode?

MrMuchimi

Answer:

<h3>87 feet</h3><h3>1. You can find the value of the vertex of the parabola as following: </h3><h3 /><h3 /><h3 /><h3>2. Substitute values: </h3><h3 /><h3>a=-16 </h3><h3 /><h3>b=70 </h3><h3 /><h3>Then: </h3><h3 /><h3> </h3><h3 /><h3 /><h3 /><h3>3. Substitute the value obtained into the equation given in the problem. Therefore, you obtain the following result: </h3><h3 /><h3 /><h3 /><h3>4. To the nearest foot: </h3><h3 /><h3>h=87 feet</h3>

Step-by-step explanation:

<h3>#hopeithelps</h3><h3>stay safe and keep well</h3><h3 /><h3>mark me as brain liest pls</h3>

6 0

3 years ago

A tree was 5 feet tall. One year later, the tree was 13 feet tall. Write an equation and use mental math to find how many feet f

swat32

Just minus 5 feet from the new height which is 13ft, and the equation will be 13-5, and therefore the tree grew 8 feet

7 0

3 years ago

Read 2 more answers

If the complement of an angle is 40 less than its supplement, find the angle.

zhuklara [117]