All categories

3 years ago

In the figure, PQ is parallel to RS. The length of PQ is 2 cm; the length of

Mathematics

1 answer:

Rashid [163]3 years ago

5 0

Answer:

Step-by-step explanation:

Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it. So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/? the ? is 15.

You might be interested in

Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al

wel

Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6
x = 6 - y

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------

5 0

3 years ago

Order from least to greatest-- 38%, 8/25, 0.41

Morgarella [4.7K]

I think the answer is 8/25, 38%, .41

6 0

4 years ago

Read 2 more answers

What is an estimate for 17 divided by 1569

Y_Kistochka [10]

It will be 93 because it 92 but you have to round up with deimal number

5 0

4 years ago

Read 2 more answers

Find the sale price to the nearest cent .. $40 sweater; 33%discount

fiasKO [112]

Answer:

$26.80

Step-by-step explanation:

(I don't know exactly how other people were taught to do percentages, but this is how I was taught and I find it the easiest for me.)

You are going to subtract your percentage number by 100.

100 - 33 = 67

This will give you your multiplier so you can then get your answer but you have to turn it into a decimal.

0.67 x 40 = 26.80

8 0

3 years ago

The volume of a cylinder, V, in terms of radius, r,

Igoryamba

Answer:

See explanation

Step-by-step explanation:

Volume of a cylinder = πr²h

Solve for r

V = π * r² * h

r² = V/πh

Find the square root of both sides

r = √V/πh

If height = 6 meters and volume = 300 cubic meters. Find r

r = √V/πh

= √(300/3.14*6)

= √(300/18.84)

= √15.923566878980

r = 3.9904344223381

Approximately,

r = 4 meters

5 0

3 years ago