1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
9966 [12]
3 years ago
11

The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4√15 cm. Find the length of the smallest side

of the triangle.
Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0

Answer:

x=4 cm

Step-by-step explanation:

x=smallest side

4x=hypotenuse

4√15=third side

use the Pythagorean Theorem

(4x)^2=x^2+(4√15)^2

16x^2=x^2+240

16x^2-x^2=240

15x^2=240

x^2=240/15

x^2=16

x=√16

x=4 cm is the smallest side

the hypotenuse is 16 cm

the third side is 4√15 cm

konstantin123 [22]3 years ago
6 0
The answer is x=4 cm
You might be interested in
Solve for v<br> 5v-13=67
borishaifa [10]

Answer:

16

Step-by-step explanation:

Add 13 both sides

That would give you 5v=80

Divide 80 by 5. So v would equal 16

8 0
3 years ago
Help test due tonight!! *no links please *
Stella [2.4K]

Answer:

Add one to all the x and subtract 4 to all the y values

Step-by-step explanation:

(1,4)= (2,0)

(-4,2)=(-3,-2)

(4,-3)=(5,-7)

8 0
3 years ago
Olivia has 680 to spend at a bicycle store for some new gear and biking outfits
stira [4]
What is the question
7 0
3 years ago
20% of US High School teens vape. A local High School has implemented campaigns to reduce vaping among students and believes tha
zaharov [31]

Answer:

10.93% probability of observing 51 or fewer vapers in a random sample of 300

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 300, p = 0.2

So

\mu = E(X) = np = 300*0.2 = 60

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.2*0.8} = 6.9282

What is the approximate probability of observing 51 or fewer vapers in a random sample of 300?

Using continuity corrections, this is P(X \leq 51 + 0.5) = P(X \leq 51.5), which is the pvalue of Z when X = 51.5 So

Z = \frac{X - \mu}{\sigma}

Z = \frac{51.5 - 60}{6.9282}

Z = -1.23

Z = -1.23 has a pvalue of 0.1093.

10.93% probability of observing 51 or fewer vapers in a random sample of 300

4 0
3 years ago
Which expression is equivalent to -2 (x +7) - 6x
Greeley [361]
The answer is a (-8x+14)
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of the function f(x) = 2x – 5 when x = 22? A17 B49 C105 D39
    7·1 answer
  • What is the first step when solving this equation for t?
    15·2 answers
  • What is the 52nd term of the sequence below?
    11·1 answer
  • This question shows the power of conserved quantities. consider a particle in a smooth monotonic attractive central potential v
    9·1 answer
  • The difference of 4x and 3 is -6
    13·1 answer
  • matthew hiked 4 miles in 2 hours. at this same rate what is the total number of miles matthew could hike in 6 hours
    6·1 answer
  • (2^8*5^-5*19^0)^-2x(5^-2/2^3)^4 x 2^28
    11·1 answer
  • Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
    5·1 answer
  • Which is a possible translation of x Greater-than-or-equal-to 5? A number is less than or equal to 5. A number is at least 5. A
    10·2 answers
  • Find the coordinates of the y-intercept and x-intercepts of the following. (image!)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!