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Leni [432]
3 years ago
5

A rectangle has dimensions 9 1/4 in. by 15 in. A diagonal of the rectangle forms two matching right triangles. What is the area

of one of the triangles?
Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

Area of one of the triangles = 69.375 in² (Approx)

Step-by-step explanation:

Given:

One side of rectangle = 9.25 in

Other side of rectangle =  15 in

Diagonal create two equal right triangle.

Find:

Area of one of the triangles = ?

Computation:

⇒ Area of one of the triangles = 1/2 [One side of rectangle × Other side of rectangle]

⇒ Area of one of the triangles = 1/2 [9.25 × 15]

⇒ Area of one of the triangles = 1/2 [138.75]

⇒ Area of one of the triangles = 69.375 in² (Approx)

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A shelf can be packed from end to end with 30 large books or 45 small books.
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Answer:

11

Step-by-step explanation:

since 30÷45 = 2/3 then

The space taken by a small book is equal to

the space taken by 2/3 a large book.

…………………………………………………

<u><em>Calculating the number of large book corresponding to 23 small books</em></u> :

= 23×(2÷3) + 3

= 18.333333333333 (large book)

Then ,Kevin can pack the shelf with (at most) : 30 - 19 = 11 more large books

4 0
2 years ago
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4 years ago
Consider the line (d) with equation y = –2x+6
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Step-by-step explanation:

3 0
3 years ago
the current temperature in small town - 20 degrees Fahrenheit this is 6 degrees less than twice the temperature that was six hou
Vlad [161]
For problems like this we can use algebra to help us, the farenheight 6 hours ago was:
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6 0
3 years ago
megan is going to make a drink using the instrutions below mix 2 parts of fruit juice with 5 parts if sparkling water. megan has
OLEGan [10]

Answer:

160 mL of fruit juice and 400 mL of sparkling water

Step-by-step explanation:

According to the statement we have that the ratio between fruit juice and sparkling water is 2/5.

Therefore, we could also say that:

200/500

with it could be done with 200 mL of fruit juice and 500 mL of sparkling water, so for 400 mL, how much would it be:

400 * 200/500 = 160

Therefore, the largest amount of the drink can be made with 160 mL of fruit juice and 400 mL of sparkling water.

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