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4 years ago

Each leg of a 45 45 90 triangle measures 12cm, what is the length of the hypotenuse

Mathematics

2 answers:

erastova [34]4 years ago

8 0

Answer:

12√2

Step-by-step explanation:

Use the Pythagorean Theorem here:

(12 cm)^2 + (12 cm)^2 = 288 cm^2.

The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2

wel4 years ago

3 0

Given that both legs of a 45, 45, and 90 degree triangle are 12cm, find out the length of the hypotenuse.

To solve for the hypotenuse, we will use the Pythagorean Theorem.

The formula to find the hypotenuse is:

a^2 + b^2 = c ^2

We already know that both legs are 12cm, so we can plug them in.

12^2 + 12^2 = c^2

Solve.

144 + 144 = c^2

Add.

288 = c^2

Find the square root of 288.

sqrt(288) = 16.97

Therefore, the square root of 288 is 16.97

If we round 16.97 to 17 and then square it, that would equal 289.

So, the best choice is to leave it as 16.97.

Thus, the length of the hypotenuse is 16.97 or 17 if you want to round it.

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Go step by step to reduce the radical. 112

Kryger [21]

Answer:

4 sqrt(7)

Step-by-step explanation:

sqrt(112)

We know sqrt(a*b) = sqrt(a) sqrt(b)

Look for perfect squares

sqrt(16*7)

sqrt(16)sqrt(7)

4 sqrt(7)

5 0

3 years ago

Read 2 more answers

Which function has a greater slope and y-intercept than the linear function represented in the table?

Sav [38]

Answer:

B) y=3x+7.5

Step-by-step explanation:

The equation of the data in the table can be obtained by using any two points.

We will use points (3, 13) and (5,17)

The slope - intercept form is:

y = mx + b

We find the slope as:

m = (17-13)/(5-3) = 4/2 = 2

The equation becomes:

y = 2x + b

To find the value of b, the y -intercept is:

13 = 2*3 + b ⇒ b= 13 - 6 = 7

So the equation is:

y = 2x + 7

<h3>Now let's compare this with the options</h3>

A) y = 2x + 8.5

The slope is 2, and y- intercept is 8.5
It has same slope and greater y-intercept
Answer is no

B) y=3x+7.5

The slope is 3, and y- intercept is 7.5
It has greater slope and greater y-intercept
Answer is yes

C) y=5x+6.5

The slope is 5, and y- intercept is 7.5
It has greater slope but smaller y-intercept
Answer is no

D) y=10x+5.5

The slope is 10, and y- intercept is 5.5
It has greater slope but smaller y-intercept
Answer is no

5 0

3 years ago

Bryce measured a picnic area near the river and made a scale drawing. The scale of the

photoshop1234 [79]

Answer:

112 inches

Step-by-step explanation:

First since we are dealing with scale factor here you are going to want to divide the 48 by 3 since they are both written with yards.

After dividing you will get 16. This is how times you are going to multiply scale factor by. You then multiply 16 by 7 to get 112 inches as your answer.

5 0

4 years ago

How do I simplify this? Include steps. <img src="https://tex.z-dn.net/?f=%20%28%5Cfrac%7B5i%5E3t%5E4%7D%7B7%7D%29-2%20%20%20

navik [9.2K]

Simplify the following:
(5 i^3 t^4)/7 - 2
i^3 = i^2×i = (-1) i = -i:
(5×-i t^4)/7 - 2
Put each term in (5 (-i) t^4)/7 - 2 over the common denominator 7:
(5 (-i) t^4)/7 - 2 = (-5 i t^4)/7 - 14/7:
(-5 i t^4)/7 - 14/7
(-5 i t^4)/7 - 14/7 = (-5 i t^4 - 14)/7:
Answer: (-5 i t^4 - 14)/7

8 0

3 years ago

1 .the base of a trapezoid are 11 meter and 14 meters.its height is 10 meters . what is the area of the trapezoid?

kvasek [131]

Question 1
Use the formula for the area of a trapezoid. a and b are the bases. h = height.

$A= \frac{a+b}{2}h=\frac{11+14}{2}*10 = \frac{25}{2}*10 = 12.5*10 = \boxed{125\ m^2}$

Question 2
Use the formula for the area of a rhombus. p and q are the diagonals.

$A = \frac{pq}{2} = \frac{21*32}{2} = \frac{672}{2} = \boxed{336\ m^2}$

Question 3
Use the formula for the area of a parallelogram. b is the base and h is the height.

$A = bh = 36*45 = \boxed{1620\ in^2}$

5 0

3 years ago