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4 years ago

I don’t know what the correct answer is

Mathematics

1 answer:

tino4ka555 [31]4 years ago

6 0

The area of a trapezoid is:

(b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.

We are given expressions for the bases and values of the height and area, so let's plug the values in:

((x + 2) + (4x - 1)) * 8/2 = 104

Calculate the inside of the parentheses:

(5x + 1) * 8/2 = 104

8/2 = 4

(5x + 1) * 4 = 104

Divide by 4 on both sides:

5x + 1 = 26

Subtract 1 from both sides:

5x = 25

Divide by 5:

x = 5

Now that we know x, we can put it into the expressions given for the bases and figure out which is the longer one:

a = 4 * 5 - 1 = 20 - 1 = 19

b = 5 + 2 = 7

a is the longer base, so (A) is the answer.

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Can anyone help plz thanks if u help

s344n2d4d5 [400]

Answer:

68.04 cm^3

Step-by-step explanation:

The volume of the prism is given by

V = Bh

where B is the area of the base and h is the height

B - area of the triangle

B = 1/2 bh = 1/2 (5.4) (3.6) = 9.72

The volume is

V = 9.72*7

68.04 cm^3

5 0

3 years ago

Find all solutions to the equation (x² + 5x + 6)(x² − 3x − 4) = 0.

Soloha48 [4]

Answer:

The solutions are:

$x=-2,\:x=-3,\:x=-1,\:x=4$

Step-by-step explanation:

To find the solutions to the equation $\left(x^2+5x+6\right)\left(x^2-3x-4\right)=0$ you need to:

Factor $\left(x^2+5x+6\right)$

Break the expression into groups

$x^2+5x+6=\left(x^2+2x\right)+\left(3x+6\right)$

Factor out $x$ from $(x^2+2x)$

$x^2+2x=x\left(x+2\right)$

Factor out 3 from $3x+6$

$3x+6=3\left(x+2\right)$

$x^2+5x+6=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\\\x^2+5x+6=\left(x+2\right)\left(x+3\right)$

Factor $\left(x^2-3x-4\right)$

$x^2-3x-4=\left(x^2+x\right)+\left(-4x-4\right)\\\\x^2-3x-4=x\left(x+1\right)-4\left(x+1\right)\\\\x^2-3x-4=\left(x+1\right)\left(x-4\right)$

Therefore

$\left(x^2+5x+6\right)\left(x^2-3x-4\right)=\left(x+2\right)\left(x+3\right)\left(x+1\right)\left(x-4\right)=0$

Using the Zero Factor Theorem:

5 0

4 years ago

A radio station has three types of promotional items; Cds, hats and flying disks. Cd's are worth $4.50, hats are worth $3.25, an

8_murik_8 [283]

Answer:

$\$200.25$

Step-by-step explanation:

Cost of 1 CD's $=\$4.50$

Cost of 1 Hat $=\$3.25$

Cost of 1 flying disk $=\$1.25$

Number of CD's = 11

Number of hats = 26

Number of flying disks = 53

Station's cost for the promotional items is calculated as follows: $\left[\begin{array}{ccc}4.50&3.25&1.25\end{array}\right] \left[\begin{array}{ccc}11\\26\\53\end{array}\right]=4.50(11)+3.25(26)+1.25(53)\\\\=49.5+84.5+66.25\\\\=\$200.25$

7 0

3 years ago

What is an equation of the line that passes through the points (-5, -7) and (5, 1)

Nutka1998 [239]

The equation is y= 4/5x-3
my work is attached :)

5 0

3 years ago

Mr. Fraser bought new shingles for his house for $2,900 using a credit card. His card has an interest rate of 12%. If he does no

Zigmanuir [339]

Answer:

he will owe $3,248

Step-by-step explanation:

8 0

3 years ago