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algol [13]
2 years ago
8

HELP ASAP will give BRAINLIEST

Mathematics
1 answer:
tester [92]2 years ago
3 0

Hey there! I'm happy to help!

The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.

13x+1+5x+4=54

We combine like terms

18x+5=54

We subtract 5 from both sides.

18x=49

We divide both sides by 18.

x=2.7222222....

Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.

5(2.722....)+4=17.61111....... or 17 11/18.

Have a wonderful day and keep on learning! :D

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What is pythagoras theorem​
Alborosie

Answer:

hypotenuse²=base²x height²

Step-by-step explanation:

It is used to find the third side of a triangle.

Hope it helps :)

6 0
3 years ago
801 round to the nerest ten
jolli1 [7]
801 rounded to the nearest ten would be 811


8 0
3 years ago
Read 2 more answers
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
The price of a new computer is p dollars. The computer is on sale for 30% off. Which expression shows the savings that are being
4vir4ik [10]

Answer:

A. P - 0.3P

Step-by-step explanation:

Given the price of the computer is P dollars and it’s on sale for 30% off.

That’s

30% /100% x P

0.3 x P

0.3P

Savings being offered on the computer is therefore

P - 0.3P

This is because 0.3P is the discounted amount and to get the sale on amount , you subtract the discounted amount from the original price P

6 0
3 years ago
For her cellular phone service, Vera pays $32 a month, plus 0.75 for each minute over the allowed minutes in her plan. Vera rece
ololo11 [35]

Answer:

one months bill would be $32+$0.75X=$47   X= minutes use over given time.

X= 20

Step-by-step explanation:

6 0
3 years ago
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