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3 years ago

144 students enter a spelling bee, but only \frac{1}{6}

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

Answer: 16 students will enter the final round of the spelling bee.

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What is the simplest form for 3/8

Maslowich

So, 3 goes into 8 2 times and 2 will be left over so you would put:
2 2/8 or 2 1/4

7 0

3 years ago

Let triangle $DEF$ be equilateral, where the side length is $3.$ A point $G$ is chosen at random inside the triangle. Find the p

noname [10]

Answer:

13.43%

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The probability that a point selected a random in triangle has distance from D to 1 or less is given by the area of the sector divided by the area of triangle

step 1

Find the area of sector

$A_1=\frac{60}{360}\pi r^{2}$

we have

$r=1\ unit$

substitute

$A_1=\frac{60}{360}\pi (1)^{2}$

$A_1=\frac{\pi}{6}\ unit^{2}$

step 2

Find the area of triangle

Applying the law of sines

The area of an equilateral triangle is equal

$A_2=\frac{1}{2}b^2sin(60^o)$

we have

$b=3\ units\\\\sin(60^o)=\frac{\sqrt{3}}{2}$

$A_2=\frac{1}{2}(3)^2(\frac{\sqrt{3}}{2})$

$A_2=9\frac{\sqrt{3}}{4}\ units^2$

step 3

Find the probability

$P=\frac{A_1}{A_2}$

substitute

$P=\frac{\pi}{6}:9\frac{\sqrt{3}}{4}$

$P=\frac{4\pi}{54\sqrt{3}}$

assume

$\pi =3.14$

$P=\frac{4(3.14)}{54\sqrt{3}}=0.1343$

Convert to percentage

$P=0.1343*100=13.43\%$

8 0

4 years ago

Need help asap please

PtichkaEL [24]

The answer is b

reason:
because i did that

8 0

3 years ago

Rewrite the expression 7x^2 + 7x - 42 as THREE factors where one of the factors is an integer value.

kondaur [170]

<h3>Answer: 7(x+3)(x-2)</h3>

========================================

Explanation:

First factor out the GCF 7

7x^2 + 7x - 42

7*x^2 + 7*x + 7*(-6)

7(x^2 + x - 6)

Now focus on factoring x^2+x-6

We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).

The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)

The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.

6 0

3 years ago

What is 70/360 in percentage

defon

Answer:

About 19.45%

Step-by-step explanation:

First set the fraction equal to x over 100 ———- (70/360)=(x/100)

cross multiply———- 70 * 100 = 7000 360 * x = 360x

solve for x —————- 7000=360x

7000/360= 19.44444444

Round ——- x=19.45

Divide fraction ———— 70/360 = 0.1944444444

Next, convert to percentage by moving decimal 2 places to the right ——

019.44444444

Round ————- = 19.45

3 0

4 years ago