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3 years ago

Find the volume of the solid

Mathematics

2 answers:

Nataliya [291]3 years ago

7 0

Answer:

V = 2784 mm^3

Step-by-step explanation:

The base of this prism is a right triangle. We can use the formula:

A = bh/2

to find the area of the base. A is area, b is base, and h is height. We can substitute what we have:

A = 16 * 12 / 2

A = 96

The volume of a prism is represented by the formula:

V = Bh

Where V is the volume, B is the base, and h is the height.

We have the area of the base as 96 and the height as 29, so we can substitute them in:

V = 96 * 29

V = 2784 mm^3

Reptile [31]3 years ago

3 0

2,784 millimeters cubed

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Find the value of each variable. If you give the decimal value, round to the nearest tenth.

DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

$\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2$

⇒ $6^2+\text{opposite}^2=12^2$

⇒ $36+\text{opposite}^2=144$

⇒ $\text{opposite}^2=108$

⇒ $\text{opposite}=6\sqrt3=10.4$

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

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3 years ago

If adam orders a book from store x how much will he owe the nearest cent the tax rate only aplies to the cost of the book

nika2105 [10]

Answer:

19.72 dollars

Step-by-step explanation:

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3 years ago

PLEASE HELP ASAP! ITS URGENT! Thank you.

Arte-miy333 [17]

Let's plug in x = 2.

f(x) = x^2

f(2) = 2^2 ... replace every x with 2

f(2) = 4

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Now plug in x = 3.

f(x) = x^2

f(3) = 3^2 ... replace every x with 3

f(3) = 9

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And x = 5 as well.

f(x) = x^2

f(5) = 5^2 .... replace every x with 5

f(5) = 25

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We see that

f(2)+f(3) = 4+9 = 13

which is not equal to f(5) = 25.

So f(2)+f(3) = f(5) is false.

------------

Another way to phrase why it doesn't work is because (2,3,5) isn't a pythagorean triple. The equation 2^2+3^2 = 5^2 is false.

If it said f(3)+f(4) = f(5), then it would be correct because 3^2+4^2 = 5^2 is a true equation.

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By selling goods for $540, a trader makes a profit of 8%. She reduces her prices to $515. What is her percentage profit now?

dybincka [34]

Answer:

Her percentage profit is 3%

Step-by-step explanation:

In the case of 8% profit,

If the purchasing price is $100, the selling price is = $100 + $8 = $108

Now,

If the selling price is $108, the purchasing price is $100

If the selling price is $1, the purchasing price is $100/$108

If the selling price is $540, the purchasing price is ($100*$540)/$108 = $500

Again,

If she reduces the selling price to $515, the profit will be ($515-$500) =$15

Now,

If the purchasing price is $500, the profit is = $15

If the purchasing price is $1, the profit is = $15/$500

If the purchasing price is $100, the profit is = ($15*$100)/$500 = 3%

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alexgriva [62]

Answer:

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Step-by-step explanation:

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The "vertex form" of the equation of a parabola is ...

f(x) = a(x -h)^2 + k

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