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3 years ago

In the figure, the area of rectangle ABCD is 100 square

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

The area of CEF will be calculated as follows:
The ratio of (BE+FD):EF is:
3:2
But the area of BDC=1/2ABCD
thus
BDC=1/2*100=50 in
hence the area of CEF will be:
(fraction of CEF)×(Area of BDC)
fraction of CEF=2/5
hence the area will be:
2/5×50
=20 in²

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The states C and D spend a total of $54.6 million for tourism. The state C spends $2 million more than the state D. Find the a

Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6 Eqn 1

x=y+2 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{52.6}{2}\\y=26.3$

Putting y=26.3 in Eqn 2

$x=26.3+2\\x=28.3\\$

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S

mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

<u>Volume of a cylinder</u>

$\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 1.5 cm
h = 0.25 cm

Substituting given values into the formula to find the volume:

$\sf \implies V=\pi (1.5)^2(0.25)$

$\sf \implies V=0.5625 \pi \:cm^3$

Find the density of the coin given it has a measured mass of 18.54 g

<u>Density formula</u>

$\sf \rho=\dfrac{m}{V}$

where:

$\rho$ = density
m = mass
V = volume

Given:

m = 18.54 g
$\sf V=0.5625 \pi \:cm^3$

Substituting given values into the density formula:

$\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}$

$\implies \sf \rho=10.49149385\:g\:cm^{-3}$

Given:

$\textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}$

$\textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}$

Therefore, as $\sf \rho=10.49\:g\:cm^{-3}$ the coin is made from silver.

4 0

2 years ago

Check all that apply. π/6 is the reference angle for:

pogonyaev

Answer:

The correct is choice B.

Step-by-step explanation:

π/6 is an angle located in the first quadrant. Consequently, the equivalent angle for which it references should also be located in this same quadrant and is obtained by adding 2π to π/6 which becomes 13π/6

4 0

2 years ago

Read 2 more answers

An amusement park is open for 15 hours a day, 7 days a week

sertanlavr [38]

Answer:

The domains are;

0 < x < 3 for f(x) = 15

3 ≤ x ≤ 7 for f(x) = 22

7 < x ≤ 15 for f(x) = 30

Step-by-step explanation:

The duration the amusement park is opened, t = 15 hours

The number of days the amusement is opened = 7 days a week

The prices for the admission are;

x < 3 hours = $15

3 ≤ x ≤ 7 hours = $22

x > 7 hours = $30

The functions are;

f(x) = 15 when x < 3; The domain = 0 < x < 3

f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7

f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.

3 0

3 years ago

∠FAE measures 72°. What other angle must measure 72°?

qwelly [4]

Answer: it’s angle FBE

Step-by-step explanation:

5 0

3 years ago