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3 years ago

One third of a number reduced by 11 is equal to 4 more than the number

1 answer:

6 0

1/3x -11 = 4+x is what we start with, then add 11 to both sides, then subtract x from both sides. Then when we divide both sides by -2/3, x will equal -22.5.

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The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.

Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, $h=15\ ft$

The distance from the base of the pole to this point on the ground is, $b=8\ ft$

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

$(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2$

Plug in the given values and solve for 'l'. This gives,

$l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17$

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0

3 years ago

Could somebody please help me find the answers for 'x' for these pictures?

djyliett [7]

Answer:

(in order) #1

for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.

So in this case

2x+8 and 110 are oppostie sides.

2x+8=110

Which is x= 51

For the second one you have supplementray angles

Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do

9x+12x+75=180

Which is x=5

This is also a vertical angle pair and their congruent just like #1

So 5x+5=65

x=12

4 0

2 years ago

Read 2 more answers

In a pen with rabbits and chickens someone counted 25 heads and 80 legs a rabbit has four legs and each chicken has 2 legs, how

Komok [63]

I just kind of sat here playing with numbers i dont really know a shortcut but the answer is 10 chickens and 15 rabbits
10*2= 20 each chicken has two legs so thats 10 heads 20 legs
15*4=60 each rabbit has four legs so thats 15 heads 60 legs
15+10=25 heads
20+60=60 legs

6 0

2 years ago

Read 2 more answers

Solve this inequality j/4 - 8 < 4

zubka84 [21]

J/4 - 8 < 4
<u> + 8 + 8 </u> *add 8 to both sides to cancel -8.
j/4 < 12
<u>*4/1 *4/1 </u> *multiply 4/1 to both sides to cancel 1/4
j < 48

j should be less than 48 to make the inequality true.

example: j = 47
j/4 - 8 < 4
47/4 - 8 < 4
11.75 - 8 < 4
3.75 < 4

Any number below 48 will end up with an answer less than 4. if j is 48 and above, the inequality is false because the answer arrived at will be equal to or greater than 4.

5 0

2 years ago

A survey was conducted to find out how much time people have to spend commuting to work. The sample means for two samples are 71

Lorico [155]

Answer:

E: None of the above

Step-by-step explanation:

Hello!

The objective is to find out how much time it takes people to commute to work.

Two samples where taken and two hypothesis tests where made:

One:

Sample mean 71 min; p-value: 0.03

Two:

Sample mean 72 min; p-value: 0.06

You have to choose from the options, a possible pair of hypotheses used for these two tests.

The parameter of the study is the population mean μ.

In the statistic hypotheses, the parameters are given either a known population value or a suspected value. So all options including sample values are wrong.

As said before the objective of the survey is to "determine how much time people spend commuting to work" in other words, whether or not the population mean is equal to a certain value.

H₀: μ = μ₀

H₁: μ = μ₀

Where μ₀ represents the theoretical value of the population mean. As you can say the hypotheses pair is two-tailed, not one-tailed.

Then the correct answer is E: None of the above

I hope this helps!

7 0

3 years ago