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shtirl [24]
3 years ago
5

NEED HELP ASAP 70 POINTS

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Answer:

x = 24 inches

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the side of the small triangle over the side of the large triangle

5               8

---------- = -----------------

15                  x

Using cross products

5x = 15*8

5x = 120

Divide each side by 5

5x/5 = 120/5

x = 24


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The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Degger [83]

Answer:

<h2><u><em>30x² − 23x − 14</em></u></h2>

Explanation:

  • Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

  • Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

  • 30x² − 23x − 14

- PNW

7 0
2 years ago
Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b
jeka94

Answer:

Step-by-step explanation:

From the given information; Let's assume that  R should represent the set of all possible outcomes generated from  a bit string of length 10 .

So; as each place is fitted with either 0 or 1

\mathbf{|R|= 2^{10}}

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if  a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

\mathbf{P(E) = \dfrac{|E|}{|R|}}

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

\mathbf{{|E|}=1 }   ; \mathbf{|R|= 2^{10}}

\mathbf{P(E) = \dfrac{1}{2^{10}}}

4 0
3 years ago
What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months?
Rom4ik [11]
Since only the principal value, interest rate and interest period are given, we can deduce that "finance charge" only includes the interest to be paid at the end of the term. This can be obtained by subtracting the principal value from the future value which we will solve for.

The future value can be solved by using the following compound interest formula:

Let:
F = Future value
P = Principal value
r<span> = annual interest rate </span>
n<span> = number of times that interest is compounded per year</span>
t<span> = number of years</span>

F = P(1 + r/n)^nt

Substituting the given values:
F = 4250(1 + 0.1325/12)^(12*2)
F = 5531.54

Subtracting P from F:
Finance charge = 5531.54 - 4250 = 1281.54

Therefore the finance charge is $1,281.54
6 0
3 years ago
An irregular polygon has its external angles as 28°,40°,120°,142° and x. Find the value of x
zalisa [80]

Answer:

X=30

Step-by-step explanation:

The whole polygon is 360 degrees so:

360-28-40-120-142=X, which is 30

5 0
4 years ago
What is the estimate for 312+138+207
eimsori [14]

Answer:

657

Step-by-step explanation:

312 + 138 + 207

= 450 + 207

= 657

8 0
3 years ago
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