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2 years ago

What is the base area of Box 3? x2 + x

Mathematics

1 answer:

exis [7]2 years ago

6 0

The base area of box 3, whose length is x²+x is x⁴+x²+2x³

Cube is a 3d figure whose all sides are equal and has 8 vertices , 6faces .

Volume=a³

Surface area=6a²

Base area=a²

a=x²+x

base area of a square =a²

=(x²+x)²

=x⁴+x²+2x³

Therefore, the base area of box 3, whose length is x²+x is x⁴+x²+2x³

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Find ML, JK=3x+11, ML=10x-12, NP=45

tigry1 [53]

Answer:

$ML = 58$

Step-by-step explanation:

Given

$JK=3x+11, ML=10x-12, NP=45$

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

$JK : NP = NP : ML$

Express as fraction

$\frac{JK }{ NP} = \frac{NP }{ ML}$

Cross Multiply

$JK * ML = NP * NP$

Substitute values:

$(3x +11) * (10x - 12) = 45 * 45$

Expand

$30x^2 - 36x + 110x - 132 = 2025$

$30x^2 +74x - 132 = 2025$

Collect like terms

$30x^2 +74x - 132 - 2025=0$

$30x^2 +74x -2157=0$

Using a calculator:

$x \approx -10$ and $x \approx 7$

Given that:

$ML=10x-12$

Substitute values for x

$ML=10*-10-12 = -100 - 12 = -112$

$ML=10*7-12 = 70 - 12 = 58$

ML cannot be negative; So:

$ML = 58$

5 0

3 years ago

Find the area of the parallelogram.

JulsSmile [24]

The area of the parallelogram of height 9 in and base 13 in will be 117in².

<h3>What is the area of a parallelogram?</h3>

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

WE have given a parallelogram of height 9 in and base 13 in.

So,

The area of a parallelogram = Base x Height

A = Base x Height

A = 13 × 9

A = 117in²

Hence, the area of the parallelogram will be 117in².

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8 0

2 years ago

Khalid invested $9500 in a savings account with a yearly interest rate of 3% for 8 years. How much simple interest did he earn?

NemiM [27]

So simple interest, you don't compound anything, you will always add 3% from $9500 and it will not change. The equation will look like this:

9500*[1+(0.03*8)]
giving us 9500*1.24 = $11,780

6 0

3 years ago

Read 2 more answers

Use the graph method to solve the system of linear equations:

Elina [12.6K]

Check the picture below.

5 0

3 years ago

Input, x 4 8 12 16 20 output y 21 37 53 69 85 what is the equation

BigorU [14]

Answer:

The equation is y = 4x + 5

Step-by-step explanation:

To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).

m(slope) = (y2 - y1)/(x2 - x1)

m = (37 - 21)(8 - 4)

m = 16/4

m = 4

Now we can use that slope along with any point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 21 = 4(x - 4)

y - 21 = 4x - 16

y = 4x + 5

3 0

4 years ago