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Lunna [17]
3 years ago
9

16. The Pythagorean Theorem states that a ^ 2 + b ^ 2 = c ^ 2 if a and b represent the lengths of the legs of a right triangle a

nd c represents the length of the hypotenuse. aFind the length of the hypotenuse if the lengths of the legs are 9 cm and 12 cm. b. Find the length of each leg of an isosceles right triangle whose hypotenuse is 10 cm Round the nearest tenth of a centimeter
Mathematics
2 answers:
Bad White [126]3 years ago
6 0

Step-by-step explanation:

a. Pythagoras formula stated above

so 9²+12²

81+144 is 225

√252 is 15cm

b. in this question well have to use surds

an isosceles triangle had a 90 and 2x45 degree angles

we hypotenuse is 10cm

√a²+a² =10cm

√2a² is 10cm which makes

a√2 equals 10

then rearrange

a=10/√2= 5√2

the answer is 5√2

Ksivusya [100]3 years ago
3 0

Answer: 25

Step-by-step explanation:

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A car wheel has a diameter of 20.8 inches.
m_a_m_a [10]

Answer:

  • 65.312 inches
  • 326.56 inches
  • 1959.36 inches

Step-by-step explanation:

<h3>Given</h3>
  • d = 20.8 inches
<h3>To find</h3>
  • Travel in 1, 5, 30 rotations
<h3>Solution</h3>

<u>Circumference of the wheel is equal to one full rotation</u>

  • C = πd = 3.14*20.8 = 65.312 inches
  • 5C = 5*65.312 = 326.56 inches
  • 30C = 30*65.312 = 1959.36 inches
7 0
3 years ago
Read 2 more answers
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and wi
brilliants [131]

Answer: A 4 side dice.

Step-by-step explanation:

Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.

You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.

6 0
3 years ago
The hour hand of a clock moves −30° every hour. How many degrees does it move in 2&amp;1/5 hours?
ad-work [718]

Answer:

ok is very easy

Step-by-step explanation:

so 1/5 of an hour is 12 mins

and 2 is 2 hrs so that 120 mins

now add 120+12=132

132 x -30 degrees

The answer to that is 132 x -30 =

-3960 sorry if its wrong and if you get a second try put -69.1150384 rad

I think sorry if you get it wrong have a good day  

6 0
3 years ago
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a)  (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b)  (f – g)(x) = 3x+8 -8x+3 = -5x +11

(c) (f × g)(x) = (3x+8)(8x-3) = 24x²-9x+64x -24 = 24x² +55x-24

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h)  (f/g)(27) = (3x+8)/(8x-3)  = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0
2 years ago
ASAP PLEASE HELP An ostrich egg has a mass of 1.2 kg to the nearest tenth of a kilogram. Find the minimum and maximum possible m
katen-ka-za [31]

The maximum possible measurement is 1.25 Kg and the minimum possible measurement is 1.15 kg

<u>Solution:</u>

Given mass of an ostrich egg is 1.2 Kg

We have to find the minimum and maximum possible measurements to the nearest tenth of a kilogram

The greatest possible error in measurement nearest tenth of a kilogram, is a half a tenth of a kilogram which is:-

\frac{1}{2} \times \frac{1}{10}=\frac{1}{20}

Now, the maximum value will be equal to calculated amount plus the error in measurement of value .i.e.

\text { Maximum value }=1.2+\frac{1}{20}=1.2+0.05=1.25

Now, the minimum value will be equal to calculated amount minus  the error in measurement of value .i.e.

\text { Minimum value }=1.2-\frac{1}{20}=1.2-0.05=1.15

Hence, maximum possible measurement is 1.25 Kg

And the minimum possible measurement is 1.15 kg

3 0
3 years ago
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