Please help with this question

Mathematics

1 answer:

Iteru [2.4K]3 years ago

4 0

Answer:

Inequality Form:

x ≥ − 30

Interval Notation:

[ − 30 , ∞ )

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Suppose marisol have scored 96%on English test there were 50 questions on the test how many did marisol answer correctly

Olenka [21]

Answer:

Step-by-step explanation:

100/50 = 2

This means each question was worth 2%

96% / 2% = 48

She got 48 questions right

8 0

3 years ago

The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle

Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

$11x+16x+24x = 51x$ feet long. But we know that this is 510 feet, so we have

$51x = 510 \implies x = \cfrac{510}{51} = 10$ .

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if $s$ is half the perimeter of the triangle whose sides are $a,b,c$ , the area $A$ is given by

$A = \sqrt{s(s-a)(s-b)(s-c)}$

In our case, $s = 255, a = 110, b = 160, c = 240$ so the formula becomes

$A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74$

5 0

3 years ago

Convert 7/66 to a decimal equivalent

wlad13 [49]

$\frac{7}{66}$ = 0.10606

Step-by-step explanation:

$\frac{7}{66}$

Since we have only one digit in the numerator and the denominator has 2 digits, we have to 0 along with 7, so that it becomes 70, 1 time 66 is 66, 70 - 66 = 4 is the remainder, so the quotient is 0.1, then along with 4 we have to add one 0 , so it becomes 40 which is lesser than 66 so one more 0 is added and then it becomes 400, 6 times 66 is 396, 400 - 396 = 4 again the process going on. The quotient is 0.10606...