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7 months ago

homeworklibexpress the area a of a right triangle as a function of the height h if the base of the triangle is twice its height?

Mathematics

1 answer:

igomit [66]7 months ago

7 0

Answer:

A = h²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

here b = 2h , then

A = $\frac{1}{2}$ × 2h × h = h × h = h²

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Blank _/32 = 7/8 fractions

Anni [7]

Answer:

Step-by-step explanation:

To begin, lets make an equation out of this problem,

x/32 = 7/8

Then, let's solve for the variable x or AKA the missing value

x/32 x 32 = 7/8 x 32

x = 28

So, there is the answer, the missing value is 28

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!

5 0

1 year ago

Read 2 more answers

Suppose you have 60 red marbles and 40 blue marbles in a

andrew-mc [135]

Answer: The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$

Therefore, the probability of event E is given by

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.$

Thus, the required probability is 0.26.

6 0

2 years ago

Pls help me on this question:)

r-ruslan [8.4K]

Answer:

x= 28

Step-by-step explanation:

The angles both sum up to 180°. So, the equation would be: 39+(5x+1)= 180.

Step 1- Add common numbers.

(39+1)+5x= 180

40+5x= 180

Step 2- Subtract 40 to both sides.

40+5x= 180

-40 -40

5x= 140

Step 3- Divide both sides by 5.

5 5

x= 28

5 0

3 years ago

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

2 years ago

The equation y=0.002x-0.20 can be used to determine the approximate profit,y in dollars,of producing x items.solve for x. How ma

lakkis [162]

Answer:

1966600 items must be produced in other to profit $3933

Step-by-step explanation:

from the equation y = 0.002x -0.20

where y is the profit in dollars

and x is the number of items

then to get the number of item to be produced in other to profit $3933 ?

will be by substituting $3933 for y in the equation and solving for x,

3933 = 0.002x - 0.20

Firstly you will add 0.20 to both sides, which will be

3933 + 0.20 = 0.002x - 0.20 + 0.20

3933.20 = 0.002x

then we will divide both sides by 0.002

3933.20 / 0.002 = 0.002x / 0.002

therefore, x = 1966600

5 0

3 years ago