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-Dominant- [34]
2 years ago
8

Hurry im running out of time

Mathematics
1 answer:
Dimas [21]2 years ago
3 0

Answer:

it is ∠EBA and ∠DBC i think

Step-by-step explanation:

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If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
3 years ago
Read 2 more answers
Marie has renters insurance that she must pay twice a year. If each payment is $96, how much money should she set aside each mon
enyata [817]
$96(2 payments) = $192

$192/(12 months) = $16 per month (she should set aside)
8 0
3 years ago
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Which of the following is NOT a rational number?
makvit [3.9K]

Answer:

A <u>rational number</u> is a number that can be expressed as a fraction (the ratio of two integers).  

<u>Integer</u>:  A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}

\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}

\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}

\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}

Therefore, \sf \sqrt{12.1} is not a rational number.

5 0
2 years ago
A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a cer
Whitepunk [10]
2c+3d=900
C=x
D=350-x
2x+3 (350-x)=900
Solve for x to get number of children
attended the fair that day
2x+1050-3x=900
2x-3x=900-1050
-1 x=-150
x=150 children

350-150=200 adult
4 0
3 years ago
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The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st
Natali [406]
12.3126 or 12.3..

How I figured this out:
https://www.mathsisfun.com/data/standard-deviation-formulas.html
6 0
3 years ago
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