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2 years ago

A rectangle measures 15/2 inches by 4/3 inches. What is its area?

Mathematics

1 answer:

fenix001 [56]2 years ago

8 0

10 inches squared. Area is length times width. 15/2 x 4/3 = 60/6 = 10^2.

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In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 book

N76 [4]

Answer:

12 fiction books.

Step-by-step explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be $\frac{3}{8}x$ .

We are also told that there are 44 books in school library. We can represent this information in an equation as:

$x+\frac{3}{8}x=44$

Let us solve for x.

$\frac{8x}{8}+\frac{3}{8}x=44$

$\frac{8x+3x}{8}=44$

$\frac{11x}{8}=44$

$\frac{11x}{8}\cdot \frac{8}{11}=44\cdot\frac{8}{11}$

$x=4\cdot 8$

$x=32$

Therefore, there are 32 non fiction books in the library.

Number of fiction books would be $\frac{3}{8}x\Rightarrow \frac{3}{8}*32=3*4=12$

Therefore, there are 12 fiction books in the library.

5 0

3 years ago

Salena, Justin, and Brandon were riding their bikes to the library after school. The library is 12 1/2 miles from school. Salena

faust18 [17]

Answer:

Salena's got to the library first

Step-by-step explanation:

12½ miles = 25/2 miles

2½ miles = 5/2 miles

5¾ miles = 23/4 miles

114 miles = 114 miles

Salena's time of arrival =

if 5/2 miles : 5 minutes

then 25/2 miles : ?

25/2 ÷ 5/2. × 5

25/2 × 2/5 × 5

25 minutes

Justin 's time of arrival=

if 23/4 miles : 12 minutes

25/2 miles : ?

25/2 ÷ 23/4 ×12

25/2 × 4/23 ×12

26 minutes approximately

Brandon 's time of arrival=

if 114 miles : 258 minutes

25/2 miles : ?

25/2 ÷114 ×258

25/2 × 1/114×258

25 × 1/57 × 258

113 minutes approximately

3 0

3 years ago

Help me ?!?! Pleaseee

Mars2501 [29]

Answer:

Step-by-step explanation:

Hope this helps! :)

6 0

3 years ago

Read 2 more answers

The area of the shaded segment is 100cm^2. Calculate the value of r.

Reil [10]

Hello,

The formula for finding the area of a circular region is: $A= \frac{ \alpha *r^{2} }{2}$

then:
$A_{1} = \frac{80*r^{2} }{2}$

With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.

$cos(40)= \frac{h}{r} \\ \\ h= r*cos(40)\\ \\ \\ sen(40)= \frac{b}{r} \\ \\ b=r*sen(40)$

Now we can find its area:
$A_{2}=2* \frac{b*h}{2} \\ \\ A_{2}= [r*sen(40)][r*cos(40)]\\ \\A_{2}= r^{2}*sen(40)*cos(40)$

The subtraction of the two areas is 100cm^2, then:

$A_{1}-A_{2}=100cm^{2} \\ (40*r^{2})-(r^{2}*sen(40)*cos(40) )=100cm^{2} \\ 39.51r^{2}=100cm^{2} \\ r^{2}=2.53cm^{2} \\ r=1.59cm$

Answer: r= 1.59cm

7 0

3 years ago

Read 2 more answers

15x5x3 find the volume with lxwxh

anygoal [31]

Answer:

225 units^3

Step-by-step explanation:

15x5x3 = 225

hope this helps, pls mark brainliest :D

6 0

3 years ago

Read 2 more answers