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atroni [7]
4 years ago
13

In triangle ABC, m2 C = 90°, c = 17, and a = 8, then which of the following is the measure of side b?

Mathematics
1 answer:
const2013 [10]4 years ago
8 0
15 is the correct answer.

Pythagoras theorem is used to find the hypothenuse of a right triangle. (m2 C=90 meaning it’s a right triangle)

a^2+b^2=c^2

8^2+b^2=17^2

After finishing the equation, you get 15.
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375/1000. You divide 3 3/4 by 10.
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3 years ago
What is the slope and y intercept of the following linear equation:y=1/3×-2
gulaghasi [49]

Answer:

Step-by-step explanation:

The general formula for slope-intercept form is y = mx + b

We can see that m (slope) equals 1/3 here. We can also see that the y-intercept (b) is -2. Another way to find the y intercept is to make x equal to 0. You get 0 - 2 which equals -2

Note:

If youre ever asked for the x-intercept, make y equal to zero and solve for x.

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3 years ago
What is the answer to <br> -k - (-8k)
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Answer:

if we simplify then the answer is 7k

Step-by-step explanation:

can someone please answer my question from my profile.

4 0
3 years ago
Read 2 more answers
The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour
vitfil [10]

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. The standard deviations is 1.25 above the mean is 14,500 hours.

<h3>Given information-</h3>

The mean for the bulb is 12,000 hours.

The standard deviation for the bulb is 2000 hours.

Sample value is 14500.

To find out the how many standard deviation is 14500 mean away from the mean the z value of the mean should be calculated.

<h3>Z value</h3>

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. Z value is the ratio of the difference of the sample value x and mean \mu to the standard deviation. Thus the z value for the given mean \sigma is,

z=\dfrac{x-\mu}{\sigma}

z=\dfrac{14500-1200}{2000}

z=1.25

Thus the standard deviations is 1.25 above the mean is 14,500 hours.

Learn more about the z value here;

brainly.com/question/62233

4 0
3 years ago
3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
3 years ago
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