The three interior angle measures of this triangle are x= ___, y= ___, and z= ___.

Answer:

f(x) represents the vertical height of the cannon

Step-by-step explanation:

The given function is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)

Therefore, we have;

f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6

f(0) = 6

The starting height of the cannon = 6

The maximum height reached by the cannon is given as follows;

f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)

f'(x) = -0.05×(2·x - 26)

f'(x) = 0 At maximum height, therefore, we have;

-0.05×(2·x - 26) = 0

(2·x - 26) = 0

2·x = 26

x = 26/2 = 13

x = 13

f(13) = -0.05·(13² - 26×13 - 120) = 14.45

The maximum height = 14.45

Therefore;

f(x) = The vertical height of the cannon

Answer:

it is B the median hope this helps :)

Step-by-step explanation:

Answer:

A. Mean

Step-by-step explanation:

When there is an outlier, the mean is the best way to figure out the average. Median doesn't work because it determines the exact middle, and the outlier (that 2) would affect it greatly, and the mode doesnt work, because it is the value that apears most in the data set, but just because it appears most doesnt mean its the average. In this case the mode is 102, but that is not the average. I hope this helps :)

Answer:

B. -30

Step-by-step explanation:

[tex]x = -20\cdot \frac{3}{2} = -30[/tex]

Answer:

85

Step-by-step explanation: multiply

Answer:

B: Triangle R S P is similar to triangle Z X Y

C: Triangle S R P is similar to triangle X Z Y

E: Triangle R P S is similar to triangle Z Y X

Step-by-step explanation:

Answer:

1152 in^3

Step-by-step explanation:

Given data

Area of the box= 144 in^2

Height = 9 in

Volume=??

We know that

volume= Area* Height

substitute

volume= 144*8

volume= 1152 in^3

Hence the volume will be 1152 in^3

Answer:week 3 and week 1

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

Answer:

26.4° (nearest tenth)

Step-by-step explanation:

[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]

[tex]sinx = \frac{4}{9} [/tex]

Taking the inverse of sine on both sides:

[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]

x= 26.4° (nearest tenth)

Answer:

Answer:

A. 10^(−3) ⋅ 10^(−2) = 10^-5

B. 10^4 ⋅ 10^(−1) = 10^3

C. 10^5/10^7  = 10^-2

D. (10^(−4))^5 = 10^-20

E. 10^(−3) ⋅ 10^2 = 10^-1

F. 10^y / 10^5 = 10^(y-5)

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

-----------------

36a-6

6(6a-1)

Answer:

Step-by-step explanation:

yassssssss

Answer:

its 220

Step-by-step explanation:

There are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Supermarket chains select 3 out of 12 possible sites for the construction of a new supermarket.

As we know,

[tex]\rm C(n, r) =\dfrac{n!}{( r! (n - r)! )}[/tex]

n = 12

r = 3

[tex]\rm C(12, 3) =\dfrac{12!}{( 3! (12 - 3)! )}[/tex]

C(12, 3) = 220

Thus, there are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

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#SPJ2

Answer:

Use a ratio.

20/60 = x/180

180/60 = 3, so 20*3 is 60.

The answer is 60.

Answer:

60

Step-by-step explanation:

Find out how many phone calls Mr. Grinnell receives in 1 minute.

60 mins = 20

1 min = 20 ÷ 60 = 0.333

180 mins = 0.333 x 180 = 59.94

59.94 rounded to the nearest whole number = 60

Answer:

70° and 62° could be the other angles in that isosceles triangle

Answer:

Step-by-step explanation:

1. y - 4 = 2(x - 6)

y - 4 = 2x - 12

y = 2x - 8

2. y - 6 = 0(x - 5)

   y - 6 = 0

   y = 6

answer is b

Answer:

Yes. They all have the same angle measurements making them similar.

Answer:

21

Step-by-step explanation:

Set it up as 7/4 x 12/1.  Multiply the numerators and denominators.  That equals 84/4 which simplifies to 21.

Answer:

4,5 in

Step-by-step explanation:

Answer:

I don't know how to solve it

Answer:

x^2 + 3x + 9 + 7/x-3

Complete Question

In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.

What percentage of this country's men are eligible for the military based on height?

Answer:

95.45 %

Step-by-step explanation:

We solve using z score formula

z-score iis z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 69

σ is the population standard deviation = 2.2

For x= 64.6 inches

z = 64.6 - 69/2.2

z = -2

Probability value from Z-Table:

P(x = 64.6) = 0.02275

For x= 73.4 inches

z = 73.4 - 69/2.2

z = 2

Probability value from Z-Table:

P(x<73.4) = 0.97725

The probability of this country's men are eligible for the military based on height is calculated as:

p(x = 73.4) - p( x = 64.6)

0.97725 - 0.02275

= 0.9545

Converting to Percentage is

= 0.9545 × 100

= 95.45 %

Answer:

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Step-by-step explanation:

table of values

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = 2( - 2 )² + 5 = 2(4) + 5 = 13

[tex]y_{2}[/tex] = 2( 0 )² + 5 = 5

[tex]y_{3}[/tex] = 2( 1 )² + 5 = 7

[tex]y_{4}[/tex] = 2( 6 )² + 5 = 77

Range: { 5, 7, 13, 77 }

Answer:

3053.63 or to the nearest integer 3054

Step-by-step explanation:

Volume formula of a sphere

[tex]V=4/3\pi r^3\\V=4/3*\pi *9^3\\V= 3053.63 \\[/tex]

Rounded off = 3054

Answer: Acceleration

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

Solve for x by using the quadratic formula

x = -12 + or - [tex]\sqrt{144+2160}[/tex] / 8

so (-12 + 48) / 8 or (-12 - 48) / 8

so 36/8 or -60/8, they just want the positive solution so x = 4.5

Answer:

ITS A

Step-by-step explanation:

PLZ GIVE BRAINLEIST

Answer:

x=3, y=-1. (3, -1).

Step-by-step explanation:

6x+y=17

-9x+5y=-32

-----------------

-5(6x+y)=-5(17)

-9x+5y=-32

--------------------

-30x-5y=-85

-9x+5y=-32

-------------------

-39x=-117

39x=117

x=3

6(3)+y=17

18+y=17

y=17-18

y=-1

Answer:

238

Step-by-step explanation:

85%of 280 is 238 ok.......

Answer:9/2 km per hour

Step-by-step explanation:

equation,

6/9-x + 6/x=8/3

Upstream is flowing of the boat in the opposite direction of the stream. The speed of the river current is 4.5 km per hour.

Johnny and his father go fishing at 5:00 AM.

Total traveled by the Johnny and his father in upstream is 6 km.

The speed of the boat is 9 km/h.

Upstream is flowing of the boat in the opposite direction of the stream.

Let x be the speed of the river current.

Time taken by the Johnny and his father to travel 6 km in upstream is ,

[tex]=\dfrac{6}{9-x}[/tex]

The time taken by the bottle to floats in the current river is,

[tex]=\dfrac{6}{x}[/tex]

As Johnny and his father start from 5:00 AM and the bottle reached to the point where Johnny and his father began their trip at 7:40 AM. Thus the total time is,

[tex]=7:40-5:00[/tex]

[tex]=2:40[/tex]

In hours,

[tex]=2\dfrac{40}{60}[/tex]

[tex]=\dfrac{8}{3}[/tex]

As the total time is equal to the sum of the Time taken by the Johnny and his father to travel 6 km in upstream and The time taken by the bottle to floats in the current river. Thus,

[tex]\dfrac{6}{9-x}+\dfrac{6}{x}=\dfrac{8}{3}[/tex]

[tex]\dfrac{6x+54-6x}{9x-x^2}= \dfrac{8}{3}[/tex]

[tex]\dfrac{27}{9x-x^2}= \dfrac{4}{3}[/tex]

[tex]x^2-9x+\dfrac{81}{4}=0[/tex]

On solving the above quadratic equation we get the positive value of the x is 4.5.

Thus the speed of the river current is 4.5 km per hour.

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