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3 years ago

If LM = 22 and MN = 15 find LN

Mathematics

2 answers:

Alenkinab [10]3 years ago

6 0

LN=37 because the number is even and odd so it will be 37

Yanka [14]3 years ago

3 0

Answer:

LN = 37

Step-by-step explanation:

The Segment Addition Postulate tells us that LM+MN = LN

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Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for

Alona [7]

The equation is L = 34 – 0.5d for the water level, L, after d days

<h3><u>Solution: </u></h3>

Given that , Suppose that the water level of a river is 34 feet

And that it is receding at a rate of 0.5 foot per day.

We have to write an equation for the water level, L, after d days

The equation can be framed for water level after d days which is found by calculating difference between initial level and receding level of water per day

Now , we know that,

<em>water level after d days = initial level – receded level of water. </em>

L = 34 feet – number of days spent x rate of receding level per day.

L = 34 feet – d days x 0.5 foot

L = 34 – 0.5d

Hence, the equation is L = 34 – 0.5d

7 0

3 years ago

If you were to draw a line through the points shown, would the point (188,160) be on the line?

Tasya [4]

I will like to say no.

4 0

3 years ago

Given:

lys-0071 [83]

Answer:

$PS=13\text{ units}$

Step-by-step explanation:

So, we know that PR is 20, SR is 11, and QS is 5.

We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.

We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.

So, let's find PQ.

We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:

$(PQ)^2+(QR)^2=(PR)^2$

We know that PR is 20.

QR is the combined length of QS+SR, so QR is 5+11 or 16.

So, substitute:

$(PQ)^2+(16)^2=(20)^2$

Solve for PQ. Square:

$(PQ)^2+256=400$

Subtract 256 from both sides:

$(PQ)^2=144$

Take the square root of both sides:

$PQ=12$

So, the side length of PQ is 12.

Now, we can use the Pythagorean Theorem again to find PS. Notice that PQ, QS, and PS also form a right triangle, with PS being the hypotenuse. So:

$(PQ)^2+(QS)^2=(PS)^2$

We already know that QS is 5. We also just determined that PQ is 12. Substitute:

$(12)^2+(5)^2=(PS)^2$

Square:

$144+25=(PS)^2$

Add:

$169=(PS)^2$

Take the square root of both sides:

$PS=13$

Therefore, the length of PS is 13 units.

And we're done!

7 0

3 years ago

PLEASE PLEASE HELP!!!!!!!!

Allushta [10]

9514 1404 393

Answer:

326.6 square inches
3402 square feet

Step-by-step explanation:

The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.

The total surface area is given by the formula ...

SA = 2πr(r +h)

For one box, the area is ...

SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box

There are 144 square inches in a square foot, so the area required for 1500 boxes is ...

(1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes

5 0

3 years ago

A researcher has saline solutions with concentrations of 3% and 7%. He wants to mix some of each solution to get 64 milliliters

777dan777 [17]

Answer:

We have 3% and 7% solutions. (We'll call these x and y)

We need 64 ml of 6% solution.

Setting up two equations:

A) x + y = 64 ml

B) .03x + .07y = (.06 * 64)

Multiplying A) by -.03

A) -.03x -.03y = -1.92 then adding this to B)

B) .03x + .07y = 3.84

.04y = 1.92

y = 1.92 / .04 = 48 ml of 7% solution

x = 16 ml of 3% solution

DOUBLE-CHECK

16 * .03 + 48 * .07 = 3.84 ml in 64ml

3.84 / 64 = .06 per cent!!

Source: https://www.1728.org/mixture.htm

Step-by-step explanation:

7 0

3 years ago