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Arte-miy333 [17]
3 years ago
12

Help me please! These are due today.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

{x}^{2}  + 3x

Step-by-step explanation:

1.

Area of shaded region = Area of external rectangle - Area of internal rectangle

= 4x(x + 2) - x(3x + 5) \\  = 4 {x}^{2}  + 8x - 3 {x}^{2}  - 5x \\  = 4 {x}^{2}  - 3 {x}^{2}  + 8x - 5x \\  =  {x}^{2}  + 3x \\

2.

Let the width of the rectangle be x inches.

Therefore, length of the rectangle = (x + 3) inches

A.

Area of rectangle

=(x + 3)\times x\\=x^2 + 3x\\

B.

Width of rectangle = 4 inches

Length of rectangle = 4 + 3 = 7 inches

Area of rectangle = 7*4 = 28 square inches.

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(15 - 6) - 3 = 15 - (6 - 3). is julie's wrote equation sense or nonsense? do you think the associative property works for subtra
never [62]

nonsense because, 6 ≠ 12

Step-by-step explanation:

(15 - 6) - 3 = 15 - (6 - 3)

you gotta to the parentheses first.

9 - 3 = 15 - 3

6 = 12

6 ≠ 12

5 0
3 years ago
The owner of a skate shop notices that every time a certain employee has a shift, there are higher sales numbers at the end of t
Serjik [45]

Answer:

Correlation.

Step-by-step explanation:

When relationship between two or more variables are to be established such that the measure of the effect of one variable (independent variable) on the other variable (dependent variable) is evaluated , this is called correlation study or analysis. In the scenario above, the relationship between productivity or revenue and employee shift is correlated, that is a relationship was established between the revenue made and the shift days of a particular employee, which yielded a positive association between the two variables. The employee shift is the independent variable and the revenue made is the dependent variable.

6 0
3 years ago
Look at pic and answer plzzzzz its a DLA (7th)
Zigmanuir [339]

Answer: 187.96 cm

Step-by-step explanation: First you need to convert all of the units into centimeters. To do this you need to convert the 6 feet into inches. Since there are 12 inches in a foot, 6 feet is equal to 72 inches. Next add the 2 inches to 72, and now this means Tyson is 74 inches tall. Lastly convert the inches into centimeters by multiplying 74 by 2.54, which equals 187.96.

5 0
3 years ago
Read 2 more answers
The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
Read 2 more answers
Simplify each product. (x 5)(x^2-3x 1)
Dominik [7]
5x^2 (x - 3) i think...
6 0
3 years ago
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