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2 years ago

9

Plz I need help! On these 3 questions!

2 answers:

iragen [17]2 years ago

8 0

Answer:

1. Acute Angle

2. MHL

3. LHK and KHJ

Step-by-step explanation:

1. Since GHM has an angle less than 90˚ it is an acute angle

2. MHL is an Right Angle as 110-20 is 90˚ and an right angle is 90˚

3. LHK and KHJ both has an angle of 35˚

Hope this helps!

dem82 [27]2 years ago

3 0

Answer: 1. Angle MHG 2. Angle LHM 3. Angle LHK and KHJ and the measures are 35 each

Step-by-step explanation:

1. The order you put the angle points in isn’t super important, as long as the middle point of the angle stays between the two letters, so angle ABC can be angle CBA as long as the b stays in the middle

2. You can find out the LHM is a right angle by looking at the protractor and counting

3. Congruent = Equal and both angles equal 35 degrees.

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A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a

kkurt [141]

Answer:

$b=h=\sqrt{6}$ m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box= $2b^2+4bh$

$2b^2+4bh=36$

$b^2+2bh=18$

$2bh=18-b^2$

$h=\frac{18-b^2}{2b}$

Volume of box, V= $b^2h$

Substitute the values

$V=b^2\times \frac{18-b^2}{2b}$

$V=\frac{1}{2}(18b-b^3)$

Differentiate w. r.t b

$\frac{dV}{db}=\frac{1}{2}(18-3b^2)$

$\frac{dV}{db}=0$

$\frac{1}{2}(18-3b^2)=0$

$\implies 18-3b^2=0$

$\implies 3b^2=18$

$b^2=6$

$b=\pm \sqrt{6}$

$b=\sqrt{6}$

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

$\frac{d^2V}{db^2}=-3b$

At $b=\sqrt{6}$

$\frac{d^2V}{db^2}=-3\sqrt{6}$

Hence, the volume of box is maximum at $b=\sqrt{6}$ .

$h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}$

$h=\frac{18-6}{2\sqrt{6}}$

$h=\frac{12}{2\sqrt{6}}$

$h=\sqrt{6}$

$b=h=\sqrt{6}$ m

7 0

3 years ago

was the area and the circumference of a circle with the radius of 5 cm and the value of 3.14 and the answer would do not round a

pochemuha

Answer:

circumference=2πr

2×3.14×5

10×3.14

=31.4cm

8 0

2 years ago

Read 2 more answers

What is 5 3/4 as a decimal?

ziro4ka [17]

Answer:

5.75

Step-by-step explanation:

$5 \frac{3}{4} = \frac{5 \times 4 + 3}{4} = \frac{20 + 3}{4} = \frac{23}{4} = 5.75 \\$

7 0

3 years ago

In a billiards game, Pete hits a ball that is 20 in. from a wall. The ball travels 34 in. until it hits the wall and bounces to

Novosadov [1.4K]

Refer to the attached image,

Peter hits a ball that is 20 inch from a wall means AB=20 in

A ball travels 34 in until it hits the wall means AC=34 in

It bounces back to a position means CD = 'x' in (Say)

It bounces back to CD which is 16 in from the wall means DE=16 in

We have to calculate the value of 'x'.

Since, ball is reflected from point C. By law of reflection which states the angle of reflection is equal to the angle of incidence.

So, $\angle ACF=\angle FCD$ = y degrees (say)

Since angles BCF and FCE are right angles.

So, $\angle BCA=\angle DCE = 90-y^\circ$ (equation 1)

Now, in triangle ABC and CDE

$\angle B=\angle E$ (Each angle is right angle)

$\angle BCA=\angle DCE$ (From equation 1)

Therefore, triangle ABC is similar to triangle DEC by AA similarity.

So, the ratio of corresponding sides are equal.

$\frac{AB}{DE}=\frac{AC}{DC}$

Substituting the values,

$\frac{20}{16}=\frac{34}{x}$

$20x = 544$

x = 27.2 in

Therefore, the distance, x, the ball traveled after it bounced off the wall to get to the ending position is 27.2 in

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3 years ago

Katrina has 12 more car payments that are each $178. About how much money does she have left to pay? $200

attashe74 [19]

We are given

total number of cars =12

cost of each car = $178

now, we have to find total cost

so, we can use formula

total cost = (total number of cars)* ( cost of each car)

so, we can plug values

and we get

$TC=12\times 178$

$TC=2136$

So, the cost of 12 cars is $2136.........Answer

6 0

3 years ago