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3 years ago

Is 24, 45, and 51 a right triangle?

Mathematics

2 answers:

levacccp [35]3 years ago

6 0

Answer: The dimensions are that of a right triangle.

Step-by-step explanation:

dangina [55]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

you can solve by checking with the Pythagorean theorem (a^2 + b^2= c^2)

24 and 45 are the legs because the hypotenuse is the largest side so they will be substituted for a and b. if c is equal to 51 then it would be a right triangle

24^2 + 45^2= c^2

576 + 2025 = c^2

2601 = c^2

51 = c

because c = 51 and 51 was the hypotenuse on the triangle previously mentioned 24 45 51 is a right triangle

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Solve the inequality for 8w-35< 3−(5-4w) Simplify the answer as much as possible

Finger [1]

Answer:

w<33/4

Step-by-step explanation:

8w-35<3-(5-4w)

8w-35<3-5+4w

8w-35<-2+4w

8w-4w-35<-2

4w-35<-2

4w<-2+35

4w<33

w<33/4

7 0

3 years ago

Apply the rule (-x, y - 2) to the following point, what is the result?

BaLLatris [955]

Answer: Second Choice. (3, 3)

Step-by-step explanation:

Given point

(x, y) = (-3, 5)

Given the rule for application

(-x, y - 2)

Determine the new x-value

x = -3

-x = - (-3) = 3

Determine the new y-value

y = 5

y - 2 = (5) - 2 = 3

Therefore, the result is $\Large\boxed{(3,~3)}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago

Read 2 more answers

The circle passes through the point (−2, 3) with a center of (-4,6). What is its radius?

Ganezh [65]

Answer:

radius = √13

Step-by-step explanation:

Forming the equation :

(x - h)² + (y - k)² = r²

(x, y) = point on circle
(h, k) = center of circle
r = radius

Solving :

(-2 + 4)² + (3 - 6)² = r²
r² = 4 + 9
radius = √13

7 0

2 years ago

Help!! I need to answer this question.

babunello [35]

"AC/DF = 5/2" is correct.

8 0

3 years ago

Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in

luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

Therefore the equation becomes:

y = 0.001 x + 30

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0

3 years ago