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patriot [66]
3 years ago
15

What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. *Will give brainliest*

Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer:

√134

Step-by-step explanation:

Solve for the top line first,

√(5²+3²)

= √34

then for the dotted line,

√(10²+(√34)²)

= √134

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Two friends share a secret on the first day. The second date they each till one another different friend, so now for people know
goblinko [34]

Answer:

The 20th day

Step-by-step explanation:

On the first day, number of people who know the secret=2

Number of people On the second day =2X2=4

Number of people On the third day =4X2=8

We can see that on each passing day, the number keeps doubling.

This is an example of a geometric progression.

Now we are to determine the number of days when the number of people who know the secret will grow past 1,000,000

For the G.P. 2,4,8,...

a=2, common ratio, r= 2

Uₙ=arⁿ⁻¹

arⁿ⁻¹>1000000

2X2ⁿ⁻¹>1000000

2ⁿ⁻¹⁺¹>1000000

2ⁿ>1000000<2²⁰=1048576

2ⁿ<2²⁰

n<20

It means on the 20th day, more than 1 million people will have been told the secret

3 0
3 years ago
Solve for f: 6f 9g = 3g f
Goshia [24]
If you would like to solve 6f + 9g = 3g + f for f, you can do this using the following steps:

<span>6f + 9g = 3g + f
</span>6f - f = 3g - 9g
5f = - 6g
f = - 6g/5

The correct result would be <span>f = - 6g/5.</span>
5 0
3 years ago
Read 2 more answers
the current temperature in smalltown is 20 °F this is 6 degrees less than twice the temperature thst that it was six hour ago wh
ira [324]
<span>2 x - 6 = 20, where x is the temperature in degrees Farhenheit 6 hours ago. 2 x = 20 + 6, 2 x = 26, x = 26 : 2, x = 13 degrees F. We can prove it: 13 * 2 - 6 = 26 - 6 = 20 degrees F ( the current temperature ) Answer: The temperature 6 hours ago was 13 degrees F.Hope this helps. Let me know if you need additional help!</span><span />
6 0
3 years ago
The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th
Yanka [14]

Answer:

Step-by-step explanation:

It is given that the length of triangle base is 26, then let ABC  be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.

Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then

Since,  triangle ABC is similar to triangle ADE, thus using basic proportions, we get

\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}

\frac{AD}{AD+DB}=\frac{DE}{BC}=\frac{AE}{AE+EC}

\frac{a}{a+b}=\frac{c}{26}=\frac{d}{d+e}

Taking the first two equalities,we get

\frac{a}{a+b}=\frac{c}{26}

c=\frac{26a}{a+b}

Thus, the length of the segment between triangle legs is \frac{26a}{a+b}

7 0
4 years ago
There *must* be an easier way of simplifying this expression. What could I have done differently?
LiRa [457]
You can add the exponents of x^3*x^4 instead of writing it all out. Do you would just have to add 3+4 since the variable (x) is the same. And you would get x^7
8 0
4 years ago
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