All categories

2 years ago

The diagram shows a rectangle. 5cm 1cm four of these rectangles are put together as shown, calculate the shaded area

Mathematics

2 answers:

GarryVolchara [31]2 years ago

7 0

Answer:

15 cm²

Step-by-step explanation:

5 + 1 + 1 = 7

7 × 5 = 35

5 × 1 = 5

5 + 5 + 5 + 5 = 20

35 - 20 = 15

aalyn [17]2 years ago

6 0

Answer:

15 sq.cm

Step-by-step explanation:

Length of the shaded rectangle = length of the unshaded rectangle = 5 cm

Breadth of the shaded rectangle = 5 - ( 1 + 1) = 5 - 2 = 3 cm

Area of the shaded rectangle = 5 * 3 = 15 sq.cm

You might be interested in

Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

2 years ago

Solve each equation 1. 3/4 f + 5 = -5 2.-1/5 b - 2/5 = -2 Please show work

anzhelika [568]

Sole for f by simplifying both sides of the equation then isolating the variable so that means f=-40 over 3 for number one

for the second equation you do the same thing you did for number one and the answer will be
b=8

4 0

2 years ago

Three plane tickets to New York cost $2,472.If each plane ticket costs the same amount, about how much does one ticket cost?How

Verdich [7]

Answer: 824$ for each

and will have to discount 24$ for each ticket

Step-by-step explanation: 2472/3= 824

2400/3=800

824-800=24

7 0

2 years ago

What is the value of a 3 - b 2 for a = 3 and b = ? A. 8 B. 8 3/4 26 3/4 26

ArbitrLikvidat [17]

When b = 1 a^3 - b^2 = 3^3 - 1^2 = 26.

6 0

2 years ago

Help please and thank you

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

its 60°

thank me later

5 0

2 years ago

Read 2 more answers