pls help!!
find the area of then triangle

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

Answer: More than 26.5 inches

Step-by-step explanation:

Solve this equation :

[tex]\frac{32+24+x}{3} \geq 27.5[/tex]

x>26.5

Answer:

Step-by-step explanation:

first use tan Ф = opp /adj      to find x         tan(30) = √3 / 3

then use sin Ф = opp / hyp   to find y         sin(30) = 1/2

       tan(30) = (√3) / 3  =  x / 48

                           x = (48√3) / 3

                          x = 16√3

        sin(30) = 1/2  = x / y

                        y  =  x / (1/2)

                        y  =  2x        x = 16√3

                        y  =  2[16√3]

                        y  =  32√3

check  using      a² + b²  = c²

             x² + 48² = y²

            (16√3)² + 48² = (32√3)²

           256 · 3  + 2304  =  1024 · 3

           768   +  2304   =   3072

                         3072  =  3072

Answer:

531 m²

Step-by-step explanation:

9x9x5=405 (5 sides that are 9x9, including the bottom)

1/2x9x7x4=126 (4 triangles on top)

405+126=531

Answer:

where's the question???

Step-by-step explanation:

Step-by-step explanation:

Volume of cylinder=πr²h

Answer:

[tex]P(x \le -3) =0.30[/tex]

Step-by-step explanation:

Given

The attached probability distribution of x

Required

Find [tex]P(x \le -3)[/tex]

To do this, we consider all values of x less than or equal to-3.

So, we have:

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

From the table:

[tex]P(x=-5) = 0.17[/tex]

[tex]P(x = -3) = 0.13[/tex]

So, the equation becomes

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

[tex]P(x \le -3) =0.17 + 0.13[/tex]

[tex]P(x \le -3) =0.30[/tex]

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

Answer:

r(t)= -3/t+6

r(t)= -3/6t=6

Answer: the answer is D

Step-by-step explanation:

Just did the assignment rn

Answer:

15

Step-by-step explanation:

ΔRST ≈ ΔRDE

[tex]\frac{RS}{RT} =\frac{RD}{RE} \\\\\frac{35}{56} =\frac{x}{24} \\\\56x=840\\x=15[/tex]

RD = 15

Answers:

x = 7*sqrt(3)

y = 7

===========================================================

Explanation:

We have a 30-60-90 triangle here since the missing acute angle is 90-60 = 30 degrees. Or you could note how 30+60+90 = 180.

The side length y is the shorter leg as it's opposite the smallest angle. It's equal to half of the hypotenuse. So y = 14/2 = 7.

The longer leg x is equal to y*sqrt(3). We multiply the shorter leg by sqrt(3) to get the longer leg. This means

x = y*sqrt(3) = 7*sqrt(3)

----------

You could also use the pythagorean theorem if you knew that y = 7 and you had the hypotenuse value as well. You could solve like so

a^2 + b^2 = c^2

7^2 + b^2 = 14^2

b^2 = 14^2 - 7^2

b^2 = 147

b = sqrt(147)

b = sqrt(49*3)

b = sqrt(49)*sqrt(3)

b = 7*sqrt(3)

Which matches up with the value of x we found earlier.

Answer: The answer is C

Step-by-step explanation:

1247.5

Hope this helps :T

Answer:

It may be D or A hopeit helps

Step-by-step explanation:

Answer:

99 and 51

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

And a cube faces 1 to 3:

Probability of the two events above:

Answer:

it seems you have made a typo

Step-by-step explanation:

Answer:

y = 8.66

Step-by-step explanation:

tan 60° = y/5

1.7321= y/5

y = 8.66

Answer:

bro its 10

Step-by-step explanation:

5 kilometers in 30mins and if he stayed at the same rate for an hour he would have ran 10 kilometers cause 5 x 2 = 10

Answer:

1 Year & 14.99%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

B, C, D are all symmetrical

Answer:

a

Step-by-step explanation:

since B, C, D are all symmetrical it should be a

Answer:

D

Step-by-step explanation:

EDG 2021

Answer:

D is the answer

Step-by-step explanation:

Answer:

n=6

Step-by-step explanation:

i used math-way :P

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

[tex]\mu = 6*0.6 = 3.6[/tex]

The probability of scoring four goals is:

[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]

Probability of two assists:

40% of 2 are assists, which means that:

[tex]\mu = 6*0.4 = 2.4[/tex]

The probability of getting two assists is:

[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]

Probability of four goals and two assists:

[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]

0.05 = 5% probability that he has four goals and two assists in one game