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3 years ago

Once again, you know the rules. Solve for x

Mathematics

2 answers:

avanturin [10]3 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

Angles are complementary so:

10x + 16 + 54 = 90

10x + 70 = 90

10x = 20

x = 2

galben [10]3 years ago

3 0

Answer:

Step-by-step explanation:

We know that these angles HAVE to add up to 90°.

First lets eliminate the extra number (16). To do so, we just need to add it to 54.

54 + 16 = 70

Now there is 20 degrees missing.

So we just need to divide 20 by 10

20 ÷ 10 = 2

So 2 is the answer

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What is the area of a rectangle with length 112 foot and width 34 foot?

Nastasia [14]

Answer:

3808ft²

Step-by-step explanation:

Formula: A=L×W

A= area

L= length

W= width

A= 112 × 34= 3808ft²

8 0

3 years ago

A brochure claims that the average maximum height for a certain type of plant is 0.7 m. A gardener suspects that this is not acc

larisa [96]

Answer:

As $Z$ , it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

Step-by-step explanation:

1. Relevant data:

$\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20$

2. Hypotesis testing

$H_{0}=\mu=0.70$

$H_{1} =\mu< 0.70$

3. Find the rejection area

From the one tail standard normal chart, whe have Z-value for $\alpha=0.05$ is 1.56

Then rejection area is left 1.56 in normal curve.

4. Find the test statistic:

$Z=\frac{X-\mu_{0} }{\sigma/\sqrt{n}}$

$Z=\frac{0.65-0.70}{0.20/\sqrt{40}}\\Z=-1.58$

5. Hypotesis Testing

$Z_{\alpha}=1.56\\Z=-1.58$

$-1.58$

As $Z$ , it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

4 0

3 years ago

The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

Can someone please help I really need this to be correct.

kupik [55]

I think it’s 22 or 23...I’m so sorry if it’s wrong :/

8 0

3 years ago

Abigail mixes 2/3 pounds of walnuts with 3/5 puns of dried fruit.To create more of the same mixture how many pounds of walnuts d

Nataly_w [17]

Step one. create a common denominator.
ex. 15
walnuts = 10/15 dried fruit= 9/15

so if you had 15/15 pounds of dried fruit you would need 16/15 pounds of walnuts

which is 1 1/15 pounds of walnuts

8 0

3 years ago