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Maksim231197 [3]
3 years ago
9

What is the pitch of the roof of a

Mathematics
1 answer:
Margaret [11]3 years ago
8 0

Rise

40 ft

Run

20 ft

Rafter length

44.72 ft

Roof pitch

63.43 deg

Roof pitch (%)

200 %

Roof pitch (x:12)

24:12

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A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
2 years ago
Manuel wants to build a model of Captain America's famous shield out of cardboard. The outer ring of the shield is colored red.
zmey [24]

Answer:

615.44 in²

Step-by-step explanation:

The shape of Captain America's shield = Circular

The area of a circle = πr²

The radius of the whole shield = 14 inches.

The first ring = Red ring

Hence, the area of the red ring =

π = 3.14

3.14 × 14²

= 615.44 in²

The area of the space he needs to paint red is 615.44 in²

7 0
2 years ago
If a position on the ocean floor is 12 kilometers below the sea level, which value describes the elevation of the ocean floor
LenKa [72]

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)

4 0
2 years ago
Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).
vodomira [7]
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6


Therefore the common ratio is 6.
4 0
3 years ago
Find the segment length indicated. Assume that lines which appear to be tangent
Jobisdone [24]

Answer:

its righties b

Step-by-step explanation:

5 0
2 years ago
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