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2 years ago

What is HB? Triangle Mid-segment Theorem

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

7 0

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

$AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}$

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The area of a rectangle is 24,396 square centimeters. If the width is 38 centimeters, what is the length?

Fiesta28 [93]

Answer:

642

Step-by-step explanation:

area equals LxW

divide 24396/38

answer 642

642x38= 24396

8 0

3 years ago

PLEASE HELP

Vladimir [108]

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

5 0

3 years ago

the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the s

ad-work [718]

The temperature of soup after 25 minutes is $135.2^{\circ}\ F$

<em><u>Solution:</u></em>

The temperature of chicken soup is 192.7°F

As it cools, the temperature of the soup decreases 2.3°F per minute

Let the initial temperature be $T_0$

Let "t" be the time for rate of decrease

Set up an equation

Temperature = Initial temperature - decrease in temperature

Decrease in temperature = rate of decrease x time

Therefore,

$T = T_0-2.3t$

<em><u>To find the temperature of soup after 25 minutes, substitute t = 25</u></em>

$T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2$

Thus the temperature of soup after 25 minutes is $135.2^{\circ}\ F$

5 0

3 years ago

At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is

weeeeeb [17]

Answer:

The maximum height is 46.64 feet.

Step-by-step explanation:

If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.

So, we have the function h(t):

$h(t)=-16t^{2} + 45t + 15$

Taking the derivative, we have:

$\frac{dh(t)}{dt}=-32t + 45=0$

Now, we solve it for t:

$t=\frac{45}{32}=1.4\: s$

Finally, we put this value of t into the original equation.

$h(t)=-16(1.4)^{2} + 45(1.4) + 15$

$h_{max}=46.64\: ft$

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.

I hope it helps you!

4 0

3 years ago

Please help me please

Murrr4er [49]

The volume of cone B will be 6 cubic units.

<h3>What is the volume of the cone?</h3>

Let h be the height of the cone and A be the base area of the cone.

Then the volume of the cone will be

Volume = (1/3) × A × h

Consider cone A and cone B.

The bases of the cones are congruent.

The height of cone A is 4 times larger than the height of cone B.

$\rm h_a = 4h_b$

The volume of cone A is 24.

24 = (1/3) Ahₐ

Then the volume of the cone B will be

$\rm V = (1/3)Ah_b$

Simplify the expression, then the volume will be

V = 1/4 x (1/3)Ahₐ

V = 1/4 x 24

V = 6 cubic units

The volume of cone B will be 6 cubic units.

More about the volume of the cone link is given below.

brainly.com/question/1984638

#SPJ1

4 0

1 year ago