Marshallhasalreadyjarred1literofjamandwilljaranadditional7litersofjameveryday.HowmanydaysdoesMarshallneedtospendmakingjamifhewantstojar22litersofjaminall?

Answer:

PR = 6.93 units

PQ = 13.86 units

Step-by-step explanation:

From ΔPQR,

m∠Q = 30°

QR = 12

By applying tangent rule for the given angle in the triangle,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(30°) = [tex]\frac{PR}{QR}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]

PR = [tex]\frac{12}{\sqrt{3} }[/tex]

PR = 4√3 ≈ 6.93

Now we apply cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]

PQ = [tex]\frac{24}{\sqrt{3} }[/tex]

PQ = 8√3 ≈ 13.86

Answer:

umm idrk

Step-by-step explanation:

Answer:

DEF~XYZ

xz/DF=xy/de in similar triangle side are proportional

3x/7=7.5/5

3x=7.5/5 ×1/7=7.5/35

Answer:

I can help you dude if any trouble (:

Answer:

Answer: you added 6 liters of juice

Step-by-step explanation:

You have 10 liters of a juice blend that is 60% juice. How many liters of pure juice need to be added in order to make a blend that is 75% juice?

Ten liters of a juice blend at 60% juice means you also have ten liters of a juice blend at 40% water. 10 x .40 yields 4 liters of water in your blend.

A juice blend of 75% has a water content of 25%. So the same 4 liters of water must represent 25% of the blend after adding more juice.

4/.25 = 16 liters. 16 x .75 = 12.

12 + 4 = 16.

That means after adding your juice you will have 16 liters of blend at 75% juice.

You originally had 10 liters at 60% and now you have 16 liters at 75% . Subtracting 10 from 16 means you added 6 liters of juice.

9514 1404 393

Answer:

Step-by-step explanation:

10 years ago, the sum of their ages was 65 -2·10 = 45.

If Karl was twice as old as Eddie, his contribution was 2/3 of the sum and Eddie's was 1/3. That is, Karl was (2/3)(45) = 30 and Eddie was 15 at that time.

Now, Karl is 40 and Eddie is 25.

__

This can be solved using a system of equations.

  e = 65 -k

  (k -10) = 2(e -10)

Substituting the first equation into the second gives ...

  k -10 = 2((65 -k) -10)

  k -10 = 110 -2k . . . . . . . simplify

  3k = 120 . . . . . . . . . . . . add 10+2k

  k = 40

  e = 65 -40 = 25

Answer:

20

Step-by-step explanation:

Answer:

20 sq.units

Step-by-step explanation:

Given,

Height of the parallelogram = 4 units

Base of the parallelogram= 5 units

Therefore, area of the parallelogram = base × height

= 4 units × 5 units

= 20 square units (Ans)

Answer:

Step-by-step explanation:

first we simplify the ratio

5:8

8/5=1.6

1:1.6 so for every 1 dollar she save she spends 1.6

next we do 1040/1.6=650

1040-650=390

390:650

i hope this helps and is the correct answer pls let me know

Answer:

1. D.

2.C.

Step-by-step explanation:

If I'm right pls mark brainleist

Answer:

markup 75%

Step-by-step explanation:

The difference in prices is $70-$40=$30.

So, we need to find what percentage of 40 is 30. We do this by dividing: 30/40=0.75, which is 75%. So, the markup is 75%.

Answer:

3/16

Step-by-step explanation:

Let the size of the whole apple be T

Given that 3/4 of the apple is left, it means the size left

= 3T/4

Since Victor plans to eat 1/4 of the pie that was left, this amounts to

1/4 * 3T/4

= 3T/16

This means that Victor will eat 3/16 of the whole pie tomorrow

Answer:

the answer is 90

Step-by-step explanation:

hope it helps

have a nice day ^_^

Answer:

It is 90 degrees.

Step-by-step explanation:

It is one fourth of 360 degrees, which is 90 degrees.

Hope that helps!

Answer:

yellow

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

(75*4)/1

Answer:

27 FT

Step-by-step explanation:

Area of square = L × W

= 4.5 ft × 4.5 ft

= 20.25 ft

Area of parallelogram = bh (base times height)

= 1.5 ft × 4.5 ft

= 6.75 ft

Total area = 20.25 ft + 6.75 ft

= 27 ft

HOPE THIS HELPED

Answer:

Opposite sides are parallel. All sides are congruent. All angles are congruent. Diagonals bisect each other. Consecutive angles are supplementary. Diagonals are perpendicular and congruent.

Step-by-step explanation:

A square is a special shape in which all angles, sides, and diagonals are congruent to one another. Therefore, all sides and angles are congruent, the diagonals cross in the middle of the square making them perpendicular, the diagonals bisect each other in the middle, and they are supplementary because they are parallel.

Answer:

A

Step-by-step explanation:

Yes, they are congruent. Sorry I'm new to this kind of stuff. Really sorry if it's wrong!

Answer:

6

Step-by-step explanation:

3х - 5 = 13

     +5   +5

3x=18

/3   /3

x=6

9 < x

this means that x is a larger number than 9

9 = x

this means that x is equal to 9

Answer:

The answer is x= 10.6

Step-by-step explanation:

because C and D are both bigger numbers then the side that is given so those are eliminated and you're left with A and B and there is no way it can be B because thats to big of a number so its A

Answer:

anthony froze 3 1/4 of the meatball

Answer:

b

Step-by-step explanation:

Answer:64

Step-by-step explanation:

Answer:

64 is the answer :)

Step-by-step explanation:

i hope its correct

Answer:

y/2

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

500-400=100

100-50=50

500

Answer:

I think you want to the coordinates of point A

the answer is

(-1,-2)