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3 years ago

Simplify the expression

Mathematics

2 answers:

8_murik_8 [283]3 years ago

7 0

(√3 + 1)/8 the answer to the question

il63 [147K]3 years ago

5 0

$\bf \cfrac{\sqrt{3}}{8}+\cfrac{1}{8}\implies \stackrel{\textit{same denominator, so LCD is just that, 8}}{\cfrac{(1)\sqrt{3}+(1)1}{8}\implies \cfrac{\sqrt{3}+1}{8}}$

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The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified ra

nikklg [1K]

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

7 0

2 years ago

Find the surface area of the triangular prism

melomori [17]

Answer:

608 ft²

Step-by-step explanation:

1) Find the area of the bases

$A=\frac{1}{2} bh$ where b is the base length and h is the height

Plug in b and h

$A=\frac{1}{2} (12)(8)\\A=48$

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

2) Find the area of the two sides facing up

$A=lw$ where l is the length and w is the width

Plug in l and w

$A=10*16\\A=160$

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

3) Find the area of the bottom side

$A=lw$ where l is the length and w is the width

Plug in l and w

$A=12*16\\A=192$

Therefore, the area of this side is 192 ft².

4) Add all the areas together

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

5 0

2 years ago

Read 2 more answers

If 2/9 of the students in a school are in 6th grade, then how

sveticcg [70]

Answer:

231

Step-by-step explanation:

$\frac{2}{9}$ = $\frac{42}{x}$

42÷2= 21

9×21= 189

189 students total

42 6th graders

5 0

2 years ago

Read 2 more answers

How do i do this? it doesn't make sense

Genrish500 [490]

Answer:

The answer is B. 581/90

Step-by-step explanation:

just divide 581 by 90 and you'll find that it is equivelent to 6.45

Hope that helps!

5 0

1 year ago

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2 years ago