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4 years ago

Which of the following properties did he use? Check all that apply

Mathematics

1 answer:

ad-work [718]4 years ago

3 0

What are all of your choices ?

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Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4

Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

$15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}$

So the area of 1st rectangle is

$A_1 = 12\times \frac{61}{4} = 183 \: in^{2}$

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

$10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}$

$10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}$

So the area of 2nd rectangle is

$A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}$

The total construction paper needed for this project is

$A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}$

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0

3 years ago

Express the following equation in slope-Intercept form: 8x + 11y= Select the best answer from the choices provided. ОА. 18 OB. 8

kobusy [5.1K]

Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8

Step-by-step explanation: It is simple math-

3 0

3 years ago

Find the slope of the line that passes through (10, 5) and (5, 1)

PSYCHO15rus [73]

Answer:

4/5

Step-by-step explanation:

points: (10,5), (5,1)

(y2-y1)/(x2-x1)

= (5-1)/(10-5)

= 4/5

Hope this helps! :3

plz mark as brainliest!

4 0

3 years ago

Given the measures of three angles of a triangle, explain how to find the ratio of the lengths of two sides of the triangle.

pantera1 [17]

You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.

8 0

1 year ago

A.B,and C are collinear. AB=5x-19,and BC= 3x+4. Find an expression for AC if B is between A and C.

uysha [10]

Find A <span>if B is between A and C.
</span><span>A.B,and C are collinear so A, B and C are line up in a line</span>

AC = AB + BC

AB=5x-19,and BC= 3x+4 given;

AC = 5x-19 + 3x+4

Simplify

AC = 8x -15

4 0

3 years ago