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blagie [28]
3 years ago
11

A rectangle measures 2 inches by 5 inches. If the length of each side doubles, what will be the area of the new rectangle

Mathematics
2 answers:
nikitadnepr [17]3 years ago
7 0
Correct, the answer is 40 in. squared
fenix001 [56]3 years ago
4 0

Answer:

<h3>40 inches squared</h3>

Step-by-step explanation:

2+2=4

5+5=10

10x4=40

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Find a factor of 3x^2- 16x - 12​
Greeley [361]

Answer:

x= -2/3 and 6

Step-by-step explanation:

3x²-16x-12

3x²-18x+2x-12

(3x²-18x)+(2x-12)

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

(3x+2)(x-6)

x= -2/3 and 6

8 0
3 years ago
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If the areas of the given pairs of shapes are equal, find the value of x.​
den301095 [7]

Answer:

x = 8cm

Step-by-step explanation:

we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e

  • the area of the square equal to the area of the rectangle

therefore,

\displaystyle \rm A _{square } = A _{rect}

recall the formula of the area of square and rectangle so,

\displaystyle  {s}^{2} = lw

now assign variables

  • s \implies16cm
  • l \implies32cm
  • w \implies x

thus substitute:

\displaystyle 32cmx =  {16cm}^{2}

simplify square:

\displaystyle 32cmx = 256cm^2

divide both sides by 32:

\displaystyle  \boxed{x = 8cm}

and we're done!

3 0
2 years ago
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Find the length of the third side. If necessary, round to the nearest tenth. 10 14 ​
abruzzese [7]

Answer:

9.8 units

Explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

5 0
3 years ago
From 12:00 midnight to 6:00 a.m., the temperature decreased by 12°C. If the original temperature was 12°C, which expression can
xxMikexx [17]

Answer:

12-12

Step-by-step explanation:

hope this helps tell me if it's right

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3 years ago
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What is the most precise name for a quadrilateral with the following vertices:
lozanna [386]

Answer:

The most precise name for a quadrilateral ABCD is a parallelogram

Step-by-step explanation:

we have

A(2,3) B(7,2) C(6,-1) D(1,0)

Plot the quadrilateral'

using a graphing tool

The quadrilateral ABCD in the attached figure

Verify the length of the sides

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find distance AB

A(2,3) B(7,2)

substitute

d=\sqrt{(2-3)^{2}+(7-2)^{2}}

d=\sqrt{(-1)^{2}+(5)^{2}}

d_A_B=\sqrt{26}\ units

step 2

Find distance BC

B(7,2) C(6,-1)

substitute

d=\sqrt{(-1-2)^{2}+(6-7)^{2}}

d=\sqrt{(-3)^{2}+(-1)^{2}}

d_B_C=\sqrt{10}\ units

step 3

Find distance CD

C(6,-1) D(1,0)

substitute

d=\sqrt{(0+1)^{2}+(1-6)^{2}}

d=\sqrt{(1)^{2}+(-5)^{2}}

d_C_D=\sqrt{26}\ units

step 4

Find distance AD

A(2,3) D(1,0)

substitute

d=\sqrt{(0-3)^{2}+(1-2)^{2}}

d=\sqrt{(-3)^{2}+(-1)^{2}}

d_A_D=\sqrt{10}\ units

step 5

Compare the length sides

AB=CD

BC=AD

Opposite sides are congruent

<em>Verify the slope of the sides</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find slope AB

A(2,3) B(7,2)

substitute

m=\frac{2-3}{7-2}

m=\frac{-1}{5}

m_A_B=-\frac{1}{5}

step 2

Find slope BC

B(7,2) C(6,-1)

substitute

m=\frac{-1-2}{6-7}

m=\frac{-3}{-1}

m_B_C=3

step 3

Find slope CD

C(6,-1) D(1,0)

substitute

m=\frac{0+1}{1-6}

m=\frac{1}{-5}

m_C_D=-\frac{1}{5}

step 4

Find slope AD

A(2,3) D(1,0)

substitute

m=\frac{0-3}{1-2}

m=\frac{-3}{-1}

m_A_D=3

step 5

Compare the slopes

m_A_B=m_C_D

m_B_C=m_A_D

The slope of the opposite sides are equal, that means, opposite sides are parallel

The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular

therefore

The most precise name for a quadrilateral ABCD is a parallelogram

8 0
3 years ago
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