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3 years ago

What is the area of this figure?

1 answer:

3 0

The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²

<h3>What is the Area of the Composite Figure?</h3>

Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw

Given the following:

s = 3 ft
b = 11 ft
h = 3 ft
l = 11 ft
w = 3 ft

Area of the composite figure = (3²) + 1/2(11)(3) + (11)(3)

Area of the composite figure = 58.5 ft²

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You might be interested in

At north shire high school 87.5% of the teachers have a masters degree. If there are 128 teachers, how many have a masters degre

Radda [10]

We have been given that at north shire high school 87.5% of the teachers have a masters degree. Total number of teachers is 128.

Let us find how many teachers have a masters degree.

$\text{Teachers hold masters degree }=\frac{128\times 87.5}{100}$

$\text{Teachers hold masters degree }=1.28\times 87.5$

$\text{Teachers hold masters degree }=112$

Therefore, 112 teachers have a masters degree.

4 0

3 years ago

Which expressions are equivalent to the given expression? Select two options.

Mars2501 [29]

Answer : The two correct options are,

3.4a + 5.6b

5.6b + 3.4a

Step-by-step explanation :

The given expression is:

(-2.4a - 1.8b) - (-3.8a - 4.4b) + (2.0a + 3.0b)

First we have to open the brackets.

⇒ -2.4a - 1.8b + 3.8a + 4.4b +2.0a + 3.0b

Now keep like terms together.

⇒ -2.4a + 3.8a +2.0a + 3.0b - 1.8b + 4.4b

By subtraction or addition, we get:

⇒ 3.4a + 5.6b

or,

⇒ 5.6b + 3.4a

Hence, the expressions that equivalent to the given expression are, 3.4a + 5.6b and 5.6b + 3.4a

7 0

3 years ago

Read 2 more answers

Vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months and vehicle B has a final sale price of

andrezito [222]

The calculation of the interest based on the price given shows that vehicle B has a lower interest.

<h3>How to calculate the price?</h3>

From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:

= (25000 × 5 × 5)/100

= $6250

Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:

= (29000 × 4 × 5)/100

= $5800

Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.

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3 0

2 years ago

Maria and farida has 250 beads altogether. After Maria used 18 beads to make a bracket and farida gave away 2/5 of her beads, th

Elenna [48]

Answer:

Maria had 105 beads at first.

Step-by-step explanation:

Let number of beads Maria have be x.

Let number of beads Farida have be y.

Given:

Maria and Farida has 250 beads altogether.

Hence equation is represented as;

$x+y =250 \ \ \ \ equation \ 1$

Also Given:

Maria used 18 beads to make a bracket.

hence bead left with maria = $x-18$

farida gave away 2/5 of her beads.

Hence beads left with Farida = $y - \frac{2}{5}y= \frac{5y}{5}-\frac{2y}{5}=\frac{5y-2y}{5}=\frac{3y}{5}$

Also they have the same number of beads left.

bead left with maria = beads left with Farida

$x-18= \frac{3y}{5}\\5(x-18)=3y\\5x-90=3y\\5x-3y =90 \ \ \ \ equation \ 2$

Now Multiplying equation 1 with 3 we get;

$3(x+y)=3\times250 = 3x+3y = 750 \ \ \ \ equation \ 3$

Now adding equation 2 by equation 3 we get;

$(5x-3y)+(3x+3y) = 750+90\\5x-3y+3x+3y = 840\\8x=840\\x=\frac{840}{8}=105$

we know the value of x = 105

hence substituting value of x in equation 1 we get;

$105+y=250\\y=250-105 =145$

Maria had 105 beads and Farida had 145 beads at first.

Final Answer: Maria had 105 beads at first.

7 0

3 years ago

PLEASE HELP Let f(x)=-4x+7 and g(x)=10x-6. Find f(g(x)) Answer choices: A. -40x+24 B. -40x+31 C. -40x+64 D. -40x+70

serg [7]

$f(x)=-4x+7 \\ \\ g(x)=10x-6 \\ \\ f(g(x))=f(10x-6)=-4*(10x-6)+7=-40x+24+7= \\ \\ -40x+31$

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8 0

3 years ago