All categories

2 years ago

Find the area of the figure. answer choices: 31 ft², 80 ft², 40 ft², 60 ft²

Mathematics

1 answer:

IrinaVladis [17]2 years ago

3 0

Answer:

60 ft²

Step-by-step explanation:

You can divide the figure into 2 parts.

First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²

Then, solve for the triangle:

Height = 10ft - 5ft = 5ft

Base = 12ft - 4ft = 8ft

Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²

Just add them together: 20ft² + 40ft² = 60ft²

You might be interested in

If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers

seraphim [82]

Answer:

a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

$\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}$

<h2>Simplify it in steps:</h2>

Bring both fractions into common denominator:

$\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}$

Simplify:

$\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =$

$\dfrac{4\sqrt{14} }{7-4} =$

$\dfrac{4}{3} \sqrt{14} }$

Compare the result with given expression to get:

a = 4/3 and b = 0

4 0

2 years ago

a musician increases the wavelength of the sound waves she produces without changing their speed. What must be happening to thei

Ilya [14]

Longer wavelength means lower frequency (lower pitch)

7 0

3 years ago

6 x is an example of _____. a variable an expression a constant a formula

irga5000 [103]

6x is an example of a variable

4 0

3 years ago

Read 2 more answers

John drove his car 385 miles on one tank of gas. If his car had 15.4 gallons of gas in it, how many miles per gallon did John dr

sleet_krkn [62]

Answer:25

Step-by-step explanation:

385/15.4=25

6 0

3 years ago

Read 2 more answers

What letter on this number line represents -(3/2)?

makvit [3.9K]

Step-by-step explanation:

B Represent $\sf{ - ( \dfrac{3}{2}) }$

4 0

2 years ago