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Iteru [2.4K]
3 years ago
13

*WILL MARK BRAINLIEST* The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational deno

minator.

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer: 5sqrt2, 10sqrt2/2

Step-by-step explanation:

The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.

Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2

However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2

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The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o
maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let  be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

y=kx

Where "k" is the constant of proportionality.

We can choose the point (8,12) from the table, where:

x=8\\y=12

Substituting these values into  y=kx and solving for "k", we get:

 12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5

Knowing the value of "k", we determine that the  following Numbers of stars and the Total points could be used as the missing values in the table:

1) For x=20 :

y=(1.5)(20)=30

2) For x=28 :

y=(1.5)(28)=42

3) For x=38 :

y=(1.5)(38)=57

4 0
3 years ago
Read 2 more answers
How to solve this question ? use appropriate metric prefix to write the following measurment without use exponents?
AleksAgata [21]
<span>-12 = pico(p) So 10^-12 L = 1 pL Use following to find the count of 10^-12 L are there in 2.3×10^-10 L 2.3×10^-10 / (10^-12) = 2.3×10^2 = 230 pL -6 = micro (µ) 4.7×10^-6 g = 4.7 µg 1.85×10^-12 m = 1.85 pm 6 = Mega (M) 16.7×10^6 s = 16.7 Ms So the answer is 16.7 Ms</span>
8 0
4 years ago
If ON = MN, find MN.
Furkat [3]
Use Pythagorean theorem.

[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}

Answer: |MN| = 4√2.
4 0
4 years ago
g The probability that a university graduate will be offered no jobs within a month of graduation is estimated to be 5%. The pro
dexar [7]

Answer:

49% probability that a graduate is offered fewer than two jobs

Step-by-step explanation:

We have these following probabilities:

5% probabilities of not being offered a job

44% probability of receiving one job offer

28% probability of received two job offers.

23% probability of receiving three job offers.

Determine the following probabilities: A. P(A graduate is offered fewer than two jobs)

Zero or one

5 + 44 = 49%

49% probability that a graduate is offered fewer than two jobs

8 0
3 years ago
Flying to Kimpala with a tail wind a plane averaged 158km/hr. On the return trip the plane only average 112km/hr. While flying b
lora16 [44]

The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

<u>Step-by-step explanation:</u>

Let the speed of wind and speed of plane in still air  are  w  and  p km/h respectively.  

The effective speed on onward journey was  

p+w=158  ................(1)

The effective speed on return journey was  

p-w=112 ..............(2)

Adding equation (1) and equation (2) we get,  

⇒ (p+w)+(p-w) = 158+112

⇒ 2p = 270

⇒ p = 135

Putting value of p = 135 in p+w=158 we get:

⇒ p+w=158

⇒ 135+w=158

⇒ w=23

Therefore ,The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

3 0
3 years ago
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