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Vikentia [17]
3 years ago
14

I FORGOT IMAGE, please help me solve this!! 100 points!!

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

\Large \boxed{\sf 384 \ m^2}

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

(8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384

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Find the sum of the first 7 terms of the following series, to the nearest integer.
Virty [35]

Answer:

r = 2.5 \\ sum =  \frac{a( {r}^{n - 1} )}{r - 1}  \\  =  \frac{125( {2.5}^{7 - 1} )}{7 - 1}  \\  =  \frac{30517.6}{6}  \\  = 5086.3

5 0
3 years ago
Solve this system of equations by elimination:<br><br> 8x+9y=48<br> 12x+5y=21
Olin [163]

Answer:

Let's solve your system of equations by elimination.

8x+9y=48;12x+5y=21

Steps:

Multiply the first equation by 5,and multiply the second equation by -9.

5(8x+9y=48)

−9(12x+5y=21)

Becomes:

40x+45y=240

−108x−45y=−189

Add these equations to eliminate y:

−68x=51

Then solve−68x=51for x:

−68x /−68 = 51 /−68  (Divide both sides by -68)

x=  −3 /4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

8x+9y=48

Substitute

−3 /4

8x+9y=48:

8( −3 /4 )+9y=48

9y−6=48 (Simplify both sides of the equation)

9y−6+6=48+6 (Add 6 to both sides)

9y=54

9y /9  =  54 /9  (Divide both sides by 9)   y=6

<em><u>Answer:  x=  −3 /4  and y=6</u></em>

Hope This Helps!  Have A Nice Day!!

7 0
3 years ago
Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using
IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The product:

A * B = \frac{1}{2} * \frac{2}{3}

A * B = \frac{1}{1} * \frac{1}{3}

A * B = 1 * \frac{1}{3}

A * B = \frac{1}{3}

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The quotient:

A / B = \frac{1}{2} / \frac{2}{3}

Express as product

A / B = \frac{1}{2} / \frac{3}{2}

A / B = \frac{1*3}{2*2}

A / B = \frac{3}{4}

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

x = \frac{1}{2}

y = \frac{2}{3}

The sum:

x + y = \frac{1}{2} + \frac{2}{3}

Take LCM

x + y = \frac{3+4}{6}

x + y = \frac{7}{6}

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0
3 years ago
Hey, can I please get some help with this? It shouldn’t be too hard, thanks!
Fynjy0 [20]

Answer:

  • (x -3)(x+3)(2x +1)
  • (x -1)(x +1)(x +3)
  • (2x -1)(2x +1)(x -4)

Step-by-step explanation:

A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

__

B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

__

C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)

_____

In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

_____

The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.

7 0
3 years ago
Identify the graphical solution to the inequality
NeTakaya

Answer:

A

Step-by-step explanation:

to solve absolute value inequalities you must solve it for when the absolute value is positive and then when it is negative

example, |4| = 4 and -4

first solution will be when we're solving for the positive value:

+(-4x+7) ≥ 27

-4x + 7 ≥ 27

-4x ≥ 20

x ≤ -5   [reverse the symbol when mult or div by a negative]

-(-4x+7) ≥ 27

4x - 7 ≥ 27

4x ≥ 34

x ≥ 34/4 or x ≥ 8 1/2

solution:  x ≤ -5 or x ≥ 8.5

5 0
3 years ago
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