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Alina [70]
2 years ago
7

Share £40 in the ratio 1:4 between Tim and Sam

Mathematics
2 answers:
lesantik [10]2 years ago
7 0

Answer:

\£8:\£32

Step-by-step explanation:

\frac{40}{1+4}

\frac{40}{5}

=8

1:4

1 \times 8:4 \times 8

8:32

svetoff [14.1K]2 years ago
6 0

Answer:

Tim gets £8

Sam gets £32

Step-by-step explanation:

Ratio is 1:4

So, Total parts are 1+4 = 5

Dividing it by total parts

= \frac{40}{5}

= £ 8

So, Tim gets £8

But,

Sam gets 4(£8)

= Sam gets £32

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Emma's square patio below has been area=31 sq ft. She decides to decrease one dimension by 1 foot and decreases the other dimens
Andreas93 [3]

Answer:

4.57ft  by 1.57 ft

Step-by-step explanation:

We are given that

Emma's square patio has been area=31 sq.ft

One dimension decrease by 1 foot and other dimension decrease by 4 feet.

We have to find the new dimensions of Emma's patio.

Let x be the side of Emma's square patio

We know that

Area of square=x^2

x^2=31

x=\sqrt{31}=5.57 ft

One dimension=5.57-1=4.57 ft

other dimension=5.57-4=1.57 ft

Hence, the new dimension of Emma's patio is given by

4.57ft  by 1.57 ft

5 0
2 years ago
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
Paha777 [63]

Answer:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

Step-by-step explanation:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

tan = opp/adj = 9.8/6.9

tan -1 = 1 / tan = 1 / (9.8 /6.9) = 6.9 /9.8

4 0
1 year ago
Read 2 more answers
What is the surface area of the right cone below?
maksim [4K]

Answer:

SA=54\pi\ units^2

Step-by-step explanation:

we know that

The surface area of the cone is given by the formula

SA=\pi r^{2}+\pi rl

where

r is the radius of the base

l is the slant height

we have

r=3\ units\\l=15\ units

substitute

SA=\pi (3)^{2}+\pi (3)(15)

SA=54\pi\ units^2

6 0
2 years ago
A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is x cubic inches and the volum
raketka [301]

Answer:

Total volume of all the bins = xS + yL

Step-by-step explanation:

Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.

To find: an expression that represents the total volume of all the bins

Solution:

The volume of the smaller bin = x cubic inches

The volume of the larger bin = y cubic inches

Also, the store has S smaller bins and L larger bins

So,

Total volume of all the bins = xS + yL

5 0
2 years ago
Work out the value of (6.8x10^2) x (1.3x10^-3)
nikitadnepr [17]

Answer:

0.884

Step-by-step explanation:

6.8x10^2 = 680

1.3x10^-3 = 0.0013

680 X 0.0013 = 0.884

6 0
2 years ago
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