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3 years ago

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A tent is in the shape of a triangular prism. The front and back are isosceles triangles with base 6 feet and height 4 feet. The

surface area of the entire tent is 104 square feet. What is the depth of the tent?

2 answers:

Paul [167]3 years ago

8 0

Answer:5

Step-by-step explanation:

Pani-rosa [81]3 years ago

5 0

It would be 6+4, which equals 10. Then, subtract 104 ft minus 10 to get 94 ft in depth.

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In a list of 7 consecutive integers, the sum of the first and last is 518. find the largest.

solong [7]

Answer:

262

Step-by-step explanation:

If x is the first integer, then x+1 is the second, x+2 is the third, and so on. Meaning the 7th term in the list is x+6.

x + x + 6 = 518

2x = 512

x = 256

The first integer is 256, so the last integer is 262.

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3 years ago

Raphael graphed the system of equations shown.

vazorg [7]

Answer:

(-2.2,-3)

Step-by-step explanation:

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3 years ago

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Using the digits 5, 6, 7, 8, 9 and repetition is allowed how many options are there to

just olya [345]

Answer:

250 options to create an even number

375 options to create an odd number

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3 years ago

On what interval is the function h(f)=|x+2|-2 increasing ?

VLD [36.1K]

Answer:

The increasing interval is $S=(-2,\infty)$

Step-by-step explanation:

This absolute function has a vertex in x=-2. Now, from this point, the function has a positive slope (increasing), which means for values of x equals to -1,0,1,2,3,...,n.

Therefore the interval will

$S=(-2,\infty)$

I hope it helps you!

7 0

3 years ago

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

3 years ago

Read 2 more answers