All categories

3 years ago

The figure is made up of a square and a rectangle. Find the area of the shaded region.

Mathematics

2 answers:

Viefleur [7K]3 years ago

6 0

Answer:

40 square metres

Step-by-step explanation:

The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.

This width is also the base of the triangle, so b = 8.

Now plug these values into the equation:

A = (1/2) * b * h

A = (1/2) * 8 * 10 = (1/2) * 80 = 40

The area is 40 square metres.

zheka24 [161]3 years ago

5 0

Answer:

40 m²

Step-by-step explanation:

Area of any triangle:

½ × base × height

base = 18 - 10 = 8

height = 10

Area:

½ × 8 × 10

40 m²

You might be interested in

Troy shares a family bag of 24 Jet Plane

nlexa [21]

Answer:

Troy ate 7 lollies.

Step-by-step explanation:

You start out by finding how many lollies Troy's two friends ate out of the 24 lollies. To find out how much Tane ate out of the 24 Jet Plane lollies you simply divide 24 by the denominator --> 24/3=8, then you multiply your answer by the numerator --> 8x1=8, so Tane ate 8 of the 24 lollies. Repeat this same process for Levi, and your answer should be 9.

Because Tane ate 8 out of the 24 lollies and Levi ate 9 out of the 24 lollies, that indicates that 17 out of the 24 lollies are gone (just add your results, 8+9=17). This leaves Troy with only 7 lollies (subtract 17 from 24 to find out how many lollies are left, 24-17=7).

4 0

2 years ago

Read 2 more answers

Find the difference. (4x 2 - 6x + 8) - (3x 2 - 6x + 2) x2 + 6 7x2 - 12x - 6 x2 + 12x + 6 x2 - 12x - 6

Natasha_Volkova [10]

Answer:

x² + 6

Step-by-step explanation:

Given

(4x² - 6x + 8) - (3x² - 6x + 2) ← distribute by - 1

= 4x² - 6x + 8 - 3x² + 6x - 2 ← collect like terms

= x² + 6

3 0

3 years ago

Calculate the velocity of a car traveling in a straight path due east with a distance of 16 meters in 2 seconds. Question 1 opti

AleksAgata [21]

Answer:

E 8 m/s

Step-by-step explanation:

The magnitude of the velocity (the speed) is the number of meters divided by the number of seconds. (That's what meters per second means.)

|V| = (16 m)/(2 s) = (16/2) m/s = 8 m/s

Velocity is a vector quantity, so must include a direction along with the magnitude.

V = E 8 m/s

7 0

3 years ago

What is 3/7 - 2/7 this is unlike factors

stiks02 [169]

Answer:

$\frac{1}{7}$

Step-by-step explanation:

Since they have the same denominator (the number on the bottom), you can just subtract the numerators (the numbers on the top). So 3-2 is 1. You always leave the denominator as it is, don't subtract it.

6 0

3 years ago

Read 2 more answers

Christina paints canvases and sells the pieces at craft fairs. The function c(t) approximates how many canvases she paints per h

dsp73

Answer:

The units of measurement for the composite function c(w(h)) is canvases over weeks.

Step-by-step explanation:

Given :

The function c(t) approximates how many canvases she paints per hour.

The function w(h) represents how many hours per week Christina spends painting the canvases.

To Find: What are the units of measurement for the composite function c(w(h))?

Solution:

C(t)= canvases paints per hour

W(h)=hours per week

C(w(h)) =canvases paints per hour * hours per week

C(w(h)) =canvases per week

So, Option 3 is true

Hence , the units of measurement for the composite function c(w(h)) is canvases over weeks.

7 0

3 years ago