MATHEMATICS MIDDLE SCHOOL

Can someone help me figure out what is JK and LK

Answers

Answer 1

Answer:

Answer:

JK = 10.524

LK = 21.065

Step-by-step explanation:

all angles in a triangle add up to 180, so angle K = 42.

law of sines states that $(A)/(sin(a)) =(B)/(sin(b)) = (C)/(sin(c))$ , where capital letters are side lengths and lower case letters are the angles opposite their corresponding capital letter sides.

in this case:

$(15)/(sin(42)) = (JK)/(sin(28))$ -----> JK = $(15sin(28))/(sin(42))$ = 10.524

and

$(15)/(sin(42)) = (LK)/(sin(110))$ -----> LK = $(15sin(110))/(sin(42))$ = 21.065

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Hi everyone!! I just need the o e that is circled in red, that all. Thank you all in advance!!!
How do you simplify (9x^8 y^3)^1/2

Which 2 square numbers make a difference of 51

Answers

100 and 49 make a difference of 51.

100 - 49 = 51

10 x 10 = 100
7 x 7 = 49

Which can is the polynomial function of the lowest degree with rational real coefficients, a leading coefficient of 3 and roots 5 and 2

Answers

Answer:

y = 3x² - 21x + 30

Step-by-step explanation:

given the polynomial has roots x = 5 , x = 2 , then

(x - 5) and (x - 2) are factors and

y = a(x - 5)(x - 2) ← a is a multiplier

here a = 3

y = 3(x - 5)(x - 2)

= 3(x² - 7x + 10) = 3x² - 21x + 30

Answer:

Y = 3x2 - 21x + 30

Step-by-step explanation:

A shoe box is 10 inches long and 6 inches wide. It is 3 inches tall. Sage is wrapping the shoe box and determined that she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap. How many square inches of gift wrap does she need?

Answers

Answer: $360\ in^2$

Step-by-step explanation:

For this exercise you need to use the folllowing formula for calculate the Surface area of a Rectangular prism:

$SA = 2wl + 2lh + 2hw$

Where "l" is the length, "w" is the width and "h" is the height of the prism.

In this case you can identify that:

$l=10\ in\n\nw=6\ in\n\nh=3\ in$

Therefore, substituting values, you get that the surface area of the shoe box is:

$SA = 2(6\ in)(10\ in) + 2(10\ in)(3\ in) + 2(10\ in)(6\ in)\n\nSA=300\ in^2$

The 20% of this surface area is:

$(300\ in^2)(0.20)=60\ in^2$

Since she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap, you get that total amount of square inches of gift wrap that she needs is:

$Total=300\ in^2+60\ in^2=360\ in^2$

What sentence about markdowns and markups is true? A. Markdowns and markups have no limit.
B. A markdown has no limit, but a markup is limited to 100% or less.
C. A markup has no limit, but a markdown is limited to 100% or less.
D. Markdowns and markups are limited to 100% or less.

Answers

the answer is C.
C. A markup has no limit, but a markdown is limited to 100% or less.

Megan left a $5 tip on a $36 restaurant bill. What percent tip is that? Give your answer to two decimal places if necessary.

Answers

Hello!

your answer is 13.8%

to get this, divide 5 by 36, then multiply by 100

5/36 = 0.138888...

0.138 * 100 = 13.8

I hope this helps, and have a nice day!

Answer:

13.88.. %

Step-by-step explanation:

If 36 is 100%

then

5 is x (we dont know)

We do cross multiplication

16*x = 100*5

16x=500

Divida both sides by 16

x= 500/36

x=13.88888

Gary invested $1,000 into an account earning interest at an annual rate of 5% compounded annually. Each year, he deposited an additional $1,000, and made no withdrawals. When he closed the account, he had a balance of $4,525.64. How much interest would Gary earn in that same time if he invests $10,000 and deposits $10,000 into the account each year?

Answers

so first we need to find out how much interest he earned a year so 525.64 divided by 4 which is 131.41 in interest a year so that 5% percent

so 10000 $ for 4 year he would earn 1900.5 so he would have 11,900.5

IM SORRY IT TOOK SO LONG

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