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Lelu [443]
3 years ago
13

Find the missing side of the triangle.​

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0

Answer:

2\sqrt{10\\}

Step-by-step explanation:

Because this is a right triangle, we have:

x^{2} + 3^{2} = 7^{2} (Pytago)\\x^{2} + 9= 49\\x^{2} =40\\x=\sqrt{40} \\x=2\sqrt{10}

lys-0071 [83]3 years ago
4 0

Answer:

x=√40

Step-by-step explanation:

In above figure,

h=7

b=3

p=x=?

Now,

by Pythagoras theorem,

p =   \sqrt{ {h }^{2}   - {b}^{2} }  \\  =   \sqrt{ {7}^{2}  -  {3}^{2} }  \\  =  \sqrt{49 - 9}  \\  =  \sqrt{40}

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Consider the function f(x)=−2/3x+2 . What is f(1/2)? Enter your answer, as a simplified fraction, in the box.
Iteru [2.4K]

Answer:

b

Step-by-step explanation:

look at the x and y axis

4 0
3 years ago
A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape....
frosja888 [35]

Answer:

About 41.5%

Step-by-step explanation:

<em>Given:</em>

<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>

<em>To Find:</em>

<em>What is the probability that both grapes are red?</em>

<em>Answer choices:</em>

<em>about 39.7%</em>

<em>about 41.5%</em>

<em>about 42.5%</em>

<em>about 44.5%</em>

<em>Solution:</em>

<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>

<em>As the red grapes are 15..</em>

<em>Thus,</em>

<em>The probability of choosing a red grape the first time is 15/23.</em>

<em>Because out of the total 23 grapes only 15 were red grape.</em>

<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>

<em>Hence, the probability of choosing or eating two red grapes will be :</em>

<em>15/23×14/22</em>

<em>=105/253</em>

<em>=0.415</em>

<em>= 41.5%</em>

<em>Therefore, the probability that both grapes are red is about 41.5%</em>

5 0
2 years ago
A line passes through (2,−7) and (−3,3) . find the slope-intercept form of the equation of the line. then fill in the value of t
ad-work [718]
Slope/m=3-(-7)/-3-2=10/-5=-2
slope/m=-2
y=-2x+b
b=         3=-2*-3+b
               b=-3
8 0
4 years ago
The sum of 5 consecutive even numbers is 310. What is the third number in this sequence?
bija089 [108]
A simple way to solve for consecutive numbers is to divide the sum number by the number of numbers needed. So 310 ÷ 5, which equals 62. That is the middle consecutive number.

To find the other 4 numbers, since they are all even, sinply add 2 to the middle number to find one, add 2 to that to find another, subtract 2 from the middle number to fine the third, and subtract 2 from that to find the final one.

62 + 2 = 64
64 + 2 = 66
62 - 2 = 60
60 - 2 = 58

so your numbers are 58, 60, 62, 52, and 66. Together they add up to 310.

(I may have done this a non-standard way, bit it was the way that made the most sense in my head.)


3 0
3 years ago
Which of the following options correctly describes the graph below?
seropon [69]

It is a step graph with slope of 2.

Answer: C

<em>Whenever you are unsure, choose a coordinate, plug it into the equation, and see if it makes a true statement.</em>

I choose (1/2, 1)   →   1 = [2(1/2)]   →   1 = [1]   TRUE

I choose  (1, 2)    →    2 = [2(1)]    →   2 = [2]  TRUE

4 0
4 years ago
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