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3 years ago

Find the area of the shaded area

Mathematics

2 answers:

olga_2 [115]3 years ago

8 0

The area of the shaded figure is 192 centimeters. To find this, take different parts of the figure away to make different shapes. Take the individual areas of each figure, then add them up.

mote1985 [20]3 years ago

7 0

Answer:

192 cm

Step-by-step explanation :-)

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–27 ≥ t/5 Please help me as soon as possible

salantis [7]

Answer:

t ≤ -135

Step-by-step explanation:

multiply each side by 5 which then cancels out the 5 in the fraction then turns -27 into -135. Since we multiplied negatives we flipped the sign.

5 0

3 years ago

Leo, Kush and Mai share some money in the ratio 3:5:8

Marta_Voda [28]

Answer:

The total amount of money that they shared is $\£6,000$

Step-by-step explanation:

Let

x-----> amount of money Leo shares

y-----> amount of money Kush shares

z-----> amount of money Mai shares

we know that

$\frac{x}{y} =\frac{3}{5}$

$x=\frac{3}{5}y$ -----> equation A

$\frac{y}{z} =\frac{5}{8}$

$z=\frac{8}{5}y$ -----> equation B

$\frac{x}{z} =\frac{3}{8}$

$z=\frac{8}{3}x$ -----> equation C

$y=x+750$ ------> equation D

substitute equation A in equation D and solve for y

$y=\frac{3}{5}y+750$

$y-\frac{3}{5}y=750$

$\frac{2}{5}y=750$

$y=750*5/2=\£1,875$

Find the value of x (equation A)

$x=\frac{3}{5}(1,875)=\£1,125$

Find the value of z (equation C)

$z=\frac{8}{3}(1,125)=\£3,000$

therefore

The total amount of money is equal to

$x+y+z=\£1,125+\£1,875+\£3,000=\£6,000$

5 0

3 years ago

Given: rectangle ABCD is similar to rectangle ZBXY. If ZY = 5, XC = 3, DC = 4, then XY =

soldier1979 [14.2K]

Answer:

The length of XY is either 10 or 2.5.

Step-by-step explanation:

Given information: ZY = 5, XC = 3 and DC = 4.

Case 1: Rectangle ABCD is smaller than ZBXY.

The opposite sides of the rectangle are same.

$ZY=BC+XC$

$5=BC+3$

$2=BC$

The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{2}{5}$

$\frac{4\times 5}{2}=XY$

$10=XY$

Therefore the value of XY is 10.

Case 2: Rectangle ABCD is larger than ZBXY.

$ZY=BC-XC$

$5=BC-3$

$8=BC$

The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{8}{5}$