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Ksenya-84 [330]
2 years ago
11

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the le

ngth of the other leg is 21 centimeters. The student incorrectly says that the length of the hypotenuse is 7.3 centimeters. Answer parts a and b. a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter. cm. The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is (Round to the nearest tenth as needed.)
Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

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3 years ago
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the r
pochemuha

Answer:

15360\,\,rupees

Step-by-step explanation:

Let sides of the triangle be a,b,c

a=40\,,\,b=24\,,\,c=32

Semi-perimeter (s) = \frac{a+b+c}{2}

=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48

Area of one tile =\sqrt{s(s-a)(s-b)(s-c)}

=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2

So,

Area of 20 tiles =20(384)=7680\,\,cm^2

Cost of polishing the floor at the rate of 2 rupees per sq.cm = 7680(2)=15360\,\,rupees

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3 years ago
Please Help me! Algebra 1
dem82 [27]

Option a: The number of bacteria at time x is 0.

Option b: An exponential function that represents the population is y=200(1.5)^x

Option c: The population after 10 minutes is 11534(app)

Explanation:

It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)

Option a: To determine the number of bacteria x when y = 200

From the graph, we can see that the line meets y = 200 when x = 0

Thus, the coordinates are (0,200)

Hence, the number of bacteria at time x is 0 when y = 200.

Option b: Now, we shall determine the exponential function of the population.

The general formula for exponential function is y=a \cdot b^{x}

Where a is the starting point and a=200

b is the common difference.

To determine the common difference, let us divide,

\frac{300}{200} =1.5

Also, \frac{450}{300} =1.5

Hence, the common difference is b=1.5

Thus, substituting the values a=200 and b=1.5 in the formula y=a \cdot b^{x},

we have, y=200(1.5)^x

Hence, An exponential function that represents the population is y=200(1.5)^x

Option c: To determine the population after 10 minutes, let us substitute x=10 in y=200(1.5)^x, since the x represents the population of the bacteria in minutes.

Thus, we have,

\begin{aligned}y &=200(1.5)^{x} \\&=200(1.5)^{10} \\&=200(57.67) \\&=11534\end{aligned}

Hence, the population after 10 minutes is 11534(app)

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3 years ago
A survey of students at a particular college showed that 33% of them prefer the American Heritage Dictionary (as opposed to Webs
Juliette [100K]

Answer:

5.13 % to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Distribution .

The required probability

= 30C6 (0.33)^6 (0.67)^(30-6)

= 0.051345

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3 years ago
HELP ME ASP<br> Convert 14 ft to yd.<br><br> 168 yds<br> 4 2/3 yds<br> 1 1/7 yd<br> 42 yds
netineya [11]

Answer:

4 2/3 yds

Step-by-step explanation:

1/3 yds in a foot

1/3 x 14 = 4 2/3

3 0
3 years ago
Read 2 more answers
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