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Allushta [10]
3 years ago
13

The length of the hypotenuse of a right triangle is 145 units. The length of one leg of the triangle is 144 units. Mike wrote th

e following step to find the length of the unknown leg: Length of the unknown leg = 1452 − 1442 = 21,025 − 20,736 = 289 units Which statement best explains whether Mike's step is correct or incorrect?
PLEASE HELP I WILL GIVE BRAINLIEST


A- It is incorrect because the length of the unknown sides is the square root of 289.

B- It is incorrect because the length of the unknown side is the square root of 41,761

C-It is correct because the length of the unknown side is the difference of the lengths of the sides

D- It is correct because the length of the unknown side is the difference of the squares of the side
Mathematics
1 answer:
ladessa [460]3 years ago
7 0

Answer:

A

Step-by-step explanation:

a^2 + 144^2 = 145^2

a^2 + 20736 = 21025

a^2 = 289

a = sqrt(289)

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7<br> 3<br> ×<br> √<br> 7<br> as a single power of 7
andrezito [222]

Step-by-step explanation:

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3 years ago
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100 POINTS! NEED HELP QUICKLY! Look at picture below
Delvig [45]

Answer:

60, 75

150  165

240   255

330  345

Step-by-step explanation:

csc 4 theta = -2 sqrt(3)/3

Write in terms of sin

1/ sin (4 theta) = -2 sqrt(3)/3

Using cross products

-2 sqrt(3) = 3 sin (4 theta)

Divide each side by 3

-2 sqrt(3)/3 =  sin (4 theta)

Take the inverse sin on each side

sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))

240 +360n = 4 theta

and 300 +360n = 4 theta  where n is an integer

Dividing each side by 4

240/4 +360n/4 = 4/4 theta  and   300/4 +360n/4 = 4/4 theta

60 + 90n = theta      and 75 +90n = theta

We want all the values between 0 and 360

Let n=0

60, 75

n=1

60+90=150  and 75+90 =165

n=2

60+180= 240   75+180=255

n=3

60+270 = 330  75+ 270 =345

7 0
3 years ago
What is the measure of
Anestetic [448]
It’s either 100 or 130
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3 years ago
The value of Sara's new car decreases at a rate of 8% each year. Write an exponential function to model the decrease in the car'
creativ13 [48]
8% less
100-8=92


P=present amount
F=future amount=f(t)
t=time in years
rate of decay is 8% or times 92%

F=P(0.92)^t is the equation or
f(t)=P(0.92)^t is the equation or
8 0
3 years ago
A card is drawn from a standard deck of 52 cards. What is the theoretical probability as a decimal of drawing the number 8? Roun
Alborosie

The answer would be 0.15 because in a deck there are only 4 cards of 8 (diamonds, hearts, clovers, and spades). Since there are 52 cards, you would divide 8 by 52 to get 0.153846, but since it says to round to the nearest hundredths, the answer would be 0.15.

8 0
3 years ago
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