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Over [174]
1 year ago
10

Find the square root of 169

Mathematics
2 answers:
aliina [53]1 year ago
5 0

Answer:

13

Step-by-step explanation:

postnew [5]1 year ago
5 0
Answer: 13

Verification: 13 * 13 = 169
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ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should t
stiks02 [169]

Answer:

5.3 or 28

Step-by-step explanation:

6^{2}+b^{2}=8^{2}

36+b^{2}=64

64-36=28

\sqrt{28\\}

=5.29 or 5.3

5 0
2 years ago
If the width of a rectangle is(x + 5) cm and its perimeter is (10x + 26) cm.
zaharov [31]

Answer:

10x + 26 = 2x + 58

10x = 58-26

10x = 32

X = 3.2

I think??

3 0
2 years ago
Which represents the value of What is the length of line segment DG?
Natalka [10]

<u>Answer</u>

12 units


<u>Explanation</u>

This can be solved using the properties of a circle.

DG and EG are secants f the circle.

DG×HG =EG×FG

(x+3+5)×5 = (x+6)×6

(x+8)5 = 6x + 36

5x +40 = 6x + 36

x = 4

DG = (x+3+5)

= 4 + 3 + 5

= 12 units

5 0
3 years ago
Read 2 more answers
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

7 0
2 years ago
What is the solution of the system? y = 13x - 1 ; y = 9x + 4
Temka [501]

Answer:

(\frac{5}{4},\frac{61}{4})

Step-by-step explanation:

This system we can solve by substitution method :

y=13x-1

y=9x+4

_______

y=13x-1

13x-1=9x+4  (instead y in second equation we use 13x-1 and first rewrite)

_______

y=13x-1

13x-9x=4+1 (subtract 9x and add 1 for each side)

______

y=13x-1

4x=5  (divide by 4)

_____

y=13x-1

x=\frac{5}{4} (instead x in first eq we write 5/4)

______

y=13*\frac{5}{4} -1=\frac{65-4}{4}=\frac{61}{4}

6 0
3 years ago
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