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3 years ago

Please help it’s geometry

Mathematics

1 answer:

murzikaleks [220]3 years ago

7 0

Answer:

x = -4

Step-by-step explanation:

EM = 5x

ET is half of EM so this statement is true: 5x = 2(3x + 2)

Solve for x.

5x = 2(3x +2)

Distribute 2.

5x = 6x + 4

Isolate x.

-x = 4

Divide -1 out.

x = -4

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Juanita and lauren are painting a circular mural on one wall of the community center. The area of the mural is 33 square meters

tangare [24]

Answer:

The radius is 3.24102 meters

Step-by-step explanation:

We are given

area of mural is 33 m^2

Since, the shape of mural is circular

Let's assume radius of circle as 'r'

so, we can use area of circle formula

$A=\pi r^2$

now, we can set A=33

and then we can solve for r

$33=\pi r^2$

we get

$r^2=\frac{33}{\pi }$

$r=3.24102$

So,

The radius is 3.24102 meters

8 0

3 years ago

Which ordered pairs are solutions to the inequality 4x + y>-6

Dafna1 [17]

Answer:

（-1,-1）（2,0）（4,-20）

Step-by-step explanation:

（-1,-1） = -5 › -6 √

（0,-9） = -9 › -6 ×

（2,0） = 8 › -6 √

（-3,6） = -6 › -6 ×

（4,20） = -4 › -6 √

3 0

3 years ago

30 pts. Harrison has 2500 kg of sand delivered to a construction site every day. About how many tons of sand does he have delive

Ymorist [56]

There are 7 days to a week, so 4 weeks = 4 * 7 = 28 days.

28 days x 2,500 kg per day = 70,000 total kgs.

Divide total kgs by kgs per ton:

70,000 total kgs / 907.2 kg per ton = 77.16 tons , round the answer to 77 tons.

6 0

3 years ago

Is the graph of y = sin(x^4) increasing or decreasing when x = 10? Is it concave up or concave down?

Tanzania [10]

$y=\sin(x^4)$
$\implies y'=4x^3\cos(x^4)$
$\implies y'=12x^2\cos(x^4)-16x^6\sin(x^4)$

At $x=10$ , you have

$y'(10)=4000\cos(10^4)$

The trick to finding out the sign of this is to figure out between which multiples of $\dfrac\pi2$ the value of $10^4$ lies.

We know that $\cos x>0$ whenever $-\dfrac\pi2+2n\pi$ , and that $\cos x$ whenever $\dfrac\pi2+2n\pi$ , where $n\in\mathbb Z$ .

We have

$10^4=\dfrac{k\pi}2\implies k=\dfrac{2\times10^4}\pi\approx6366.2$

which is to say that $\dfrac{6366\pi}2$ , an interval that is equivalent modulo $2\pi$ to the interval $\left(\pi,\dfrac{3\pi}2\right)$ .

So what we know is that $10^4$ corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.

This means $y'(10)$ , so $y$ is decreasing when $x=10$ .

Now, the second derivative has the value

$y'=12\times10^2\cos(10^4)-16\times10^6\sin(10^4)$

Both $\cos(10^4)$ and $\sin(10^4)$ are negative, so we're essentially computing the sum of a negative number and a positive number. Given that $\sin x>\cos x$ for $\pi$ , and $\cos x>\sin x$ for $\dfrac{5\pi}4$ , we can use a similar argument to establish in which half of the third quadrant the angle $10^4$ lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means $y$ is concave up when $x=10$ .

5 0

3 years ago

A 45-foot length of wire is to be cut into 2 pieces, so that the longer piece is three feet longer than five times the shorter p

wlad13 [49]

Long piece: 5x + 3

Short piece: x

Long + Short = Total

5x + 3 + x = 45

6x + 3 = 45

6x = 42

x = 7

Long piece: 5x + 3 = 5(7) + 3 = 35 + 3 = 38

Answer: short = 7 ft, long = 38 ft

5 0

3 years ago

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