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NeTakaya
3 years ago
13

FIND THE AREA OF THE SHADED REGION. SHOW ALL YOUR WORK.

Mathematics
2 answers:
RideAnS [48]3 years ago
6 0
The teachers this is commonly known as a doughnut problem. Basically you find the area of the large trays and subtract the area of the small shape.

Lg. Rectangle. Sm. Rectangle
A = lw. A=lw
A=(3x - 4)(2x + 2) A=(x - 3)(x - 6). Use FOIL on each
A = 6x^2 + 6x - 8x -8 A=x^2 - 6x - 3x + 18. Combine like terms
A = 6x^2 - 2x - 8. A=x^2 - 9x + 18. Subtract rectangles to find area of shaded region
A = 6x^2 -2x - 8 - (x^2 - 9x + 18) Distribute the negative into the parenthesis (multiply each term by -1)
A = 6x^2 - 2x - 8 - x^2 + 9x -18. Combine like terms
A = 5x^2 + 7x - 26. <— answer
erik [133]3 years ago
3 0

Answer:

he area that is un-shaded is (x-3)(x-6).

The entire area is (2x+2)(3x-4).

Area of the shaded region is:

(2x+2)(3x-4) - (x-3)(x-6) =

(6x2-2x-8) - (x2-9x+18) =

6x2-2x-8-x2+9x-18 =

5x2+7x-26 hopes this help btw (;

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Find the annual rate of interest. Principal = 4600 rupees, Period = 5 years, Total amount = 6440 rupees, Annual rate of interest
Len [333]

The annual rate of interest per year is 8%

<u>Solution:</u>

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest

Interest = Amount – Principal

Interest = 6440  – 4600 = 1840

Now using the formula of simple Interest and on putting values we get,

\text {Simple Interest }=\frac{P \times R \times T}{100}

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

1840=\frac{4600 \times R \times 5}{100}

\begin{aligned} \mathrm{R} &=\frac{1840 \times 100}{4600 \times 5} \\\\ \mathrm{R} &=\frac{1840}{230} \\\\ \mathrm{R} &=8 \% \end{aligned}

Hence, the required rate of interest per year is 8%

6 0
3 years ago
A) Work out the value of 5^2 – 1^5× 2^4<br>b) Work out the value of 7^2 + 4^3 ÷ 2^5​
NemiM [27]
First you have to know BODMAS/BIDMAS (idk if all schools teach it like this) but this is the order in which you complete questions so it’s Brackets, Indices, Division/Multiplication, Addition/Subtraction
a) 5^2 is 5x5 which equals 25 1 to the power of anything is always 1 and 2^4 is 2x2x2x2 which is 16
So 5^2-1^5x2^4 = 25-1x16 which is then 25-16 = 9
b) 7^2+4^3 divided by 2^5 so 7^2 is 7x7 which = 49 then 4^3 means 4x4x4 = 64 and 2^5 is 2x2x2x2x2 which equals 32 so
7^2+4^3 divides by 2^5 is 49+64/32 = 49+2 which is 51
8 0
3 years ago
Can someone tell me how to do this? <br><br>PLEASE!!!​
Schach [20]

1. 27

2. 13

hope you have a girldfriend

8 0
3 years ago
Liz works at the animal shelter. There are 20 animals in the shelter, and 35% of the animals are dogs. How many of the animals i
Dima020 [189]

Answer:

7

Step-by-step explanation:

20 • 35% = 13 20-13=7

4 0
3 years ago
Find the measure of angle FED and DEN. Thx!!!! :)
Katena32 [7]

Answer:

m<FED=60, m<DEN=120

Step-by-step explanation:

m<FED=60

This is because <GEN and <FED are vertical angles.

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.

m<DEN=120

This is because <DEN and <GEN are supplementary.

Supplementary angles add up to 180 degrees.

We know this because a straight line is always 180 degrees.

So:

m<DEN+m<GEN=180

m<DEN+60=180

m<DEN=120

6 0
3 years ago
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