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3 years ago

Find the missing length of each right triangle

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

24 cm

Step-by-step explanation:

10² + b² = 26²

b = √(26² - 10²) = √576 = 24 cm

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The Irregular figure can be broken into a triangle and a rectangle as shown with the dashed line.

telo118 [61]

Given:

Given that the irregular figure is broken into a triangle and a rectangle.

We need to determine the length b, the area of the triangle , the area of the rectangle and the area of the irregular figure.

Length of b:

The length of b , the base of the triangle is given by

$b=5-(2\frac{1}{3})$

Simplifying, we get;

$b=5-\frac{7}{3}$

$b=\frac{8}{3} \ ft$

Thus, the length of the base of the triangle is $\frac{8}{3} \ ft$

Area of the triangle:

The area of the triangle can be determined using the formula,

$A=\frac{1}{2}bh$

Substituting $b=\frac{8}{3} \ ft$ and $h=3 \ ft$ , we get;

$A=\frac{1}{2}(\frac{8}{3})(3)$

$A=4 \ ft^2$

Thus, the area of the triangle is 4 square feet.

Area of the rectangle:

The area of the rectangle can be determined using the formula,

$A=lw$

where l = 5 ft, $w=1 \frac{1}{3}=\frac{4}{3} \ ft$ , we get;

$A=5 \times \frac{4}{3}$

$A=\frac{20}{3} \ ft^2$

Thus, the area of the rectangle is $\frac{20}{3} \ ft^2$

Area of the irregular figure:

The area of the irregular figure can be determined by adding the area of the triangle and the area of the rectangle.

Thus, we have;

Area = Area of the triangle + Area of the rectangle

Substituting the values, we have;

$Area = 4+\frac{20}{3}$

$Area = 10.667 \ ft^2$

Thus, the area of the irregular figure is 10.667 square feet.

5 0

4 years ago

Solve by substitution 3x - 5y = -1 , x-y = -1

nevsk [136]

Answer:

(-2, -1)

Step-by-step explanation:

first you must reorganize the equations so that one of them has x or y equaling to something

x - y = -1 --> x = y - 1

then substitute that in for x

3(y - 1) - 5y = -1

and solve for y

3y - 3 - 5y = -1

-2y = 2

y is -1

then plug it back in to an equation to find x

x + 1 = -1

x is -2

6 0

2 years ago

Can anyone explain a system of equations to me

Kobotan [32]

Answer: Hello, This can help you. A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Step-by-step explanation: Hope this helps :)

7 0

4 years ago

What is the area, in square meters, of the shape below? Express your answer as a

aleksandrvk [35]

Answer:

1/4

Step-by-step explanation:

1/2 * 1/2 = 1/4

8 0

3 years ago

Read 2 more answers