Consider the equation - 3x2 + 27x - 63 = 0.
What is the discriminant of the equation?

The distance of the plane travelling at 220 feet per second off the ground is 151.71feet

Maximum height of the plane is expressed as:

[tex]M=\frac{u^2sin^2\theta}{2g}[/tex]

u  is the velocity = 220ft/s

θ is the angle of elevation = 14.5°.

g is the acceleration due to gravity

Substitute

[tex]M=\frac{u^2sin^2\theta}{2g}\\M=\frac{220^2sin^2(14.5)}{2(10)}\\M=151.71feet[/tex]

Hence the distance of the plane off the ground is 151.71feet

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Answer:

The answer would be 7

36/6=6

so it would be

42/x=6

x=7

3x-12y=6

Lets convert to slope intercept form

Slopes are equal so lines are parallel

Hence no solutions

Answer:

C

Step-by-step explanation:

The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).

I wasn't entirely sure how to explain this but I really hope this helps!

Answer:

A and C

those are the two ways to find surface area on that shape without overlap

Answer:

y-5=-2(x+4)

Step-by-step explanation: All you need to do is remember the point-slope form equation y-y1=m(x-x1), parallel slope (-2), then (-4,5). Plug in (-4,5) and -2 into the point slope form equation y-5=-2(x+4). That's all.

Answer: C

Step-by-step explanation:

Answer:

x=2-y/2

y=12/7-6x/7

Step-by-step explanation:

Answer:

150.09

Step-by-step explanation:

0.1  = 1/10 + 149.99=  150. the leftover of 0.09 then is finally added to 150 which then you get 150.09  


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Answer:

The answer should be 150.09  

Step-by-step explanation:

Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09

Hope This Helps
Have A Great Day

~Zero~

Eman's unit rate given the miles he skateboarded and the hours is 12 miles per hour.

The unit rate is the same as average speed. Average speed is the total distance travelled per time. The unit rate can be determined by dividing the distance by the time.

Average speed = total distance / total time

24/2 = 12 miles per hour

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Answer:

n=3m+5

n−2m=3

\hboxsubstitute3m+5forninthesecondequation:

3m+5−2m=3

m+5=3

m=3−5

m=−2

n=3m+5

n=3×(−2)+5

n=−6+5

n=−1

(m,n)=(−2,−1)

The answer is C.

Answer:

Step-by-step explanation:

AREA: 42 cm^2

h = 14 cm

area of a triangle formula:

[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]

(14)(base) = 42 * 2

(14)(base) /14 = 84 /14

base = 6 cm

Answer: 10 inches

Step-by-step explanation:

Answer:
Hope this helps <3

Step-by-step explanation:

(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)

Answer:

144

Step-by-step explanation:

Because if you multiply 9*12=108 and 12*12=144

The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

To find area of the composite figures,

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

[tex]A_r=3\times4\\A_r=12\rm \;ft^2[/tex]

The radius of the semicircle is 1.5 m. The area of the semicircle is,

[tex]A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2[/tex]

The area of the composite figure is,

[tex]A=12+3.5325\\A=15.5325\rm\;ft^2\\[/tex]

The rate of  painting is $2.00 per square foot. Thus the cost to paint the figure is,

[tex]A=15.5325\times2\\A=31.065[/tex]

Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

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Answer:31

Step-by-step explanation:

Step-by-step explanation:

given: x = -8,

putting value of x in given equation,

y=(-8)2+4

y= -16+4

y=-12

Answer:

The easiest and fastest way is shown below, by clicking the button at the bottom that is circled.

Step-by-step explanation:

Answer:

Reading View

Step-by-step explanation:

First, select the Reading View option in the bottom right corner of the working area. Then, select the Slide Show option that is right beside the Reading View option. This will make your presentation go full screen.

Answer:

not a solution

Step-by-step explanation:

substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.

2(2) - 4(- 1) = 4 + 4 = 8 ← true

- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1

then (2, - 1 ) is not a solution of the system

Answer:

Step-by-step explanation:

Complementary angles add up to 90°

∠1 + ∠2 = 90°

66 + 2x = 90°

        2x = 90° - 66°

        2x = 24°

           x = 24/2

x = 12°

        ∠2 = 2*12

         ∠2 = 24°

Answer:

40/41.

Step-by-step explanation:

sin Z = opposite side / hypotenuse

= 40/41

Answer:

-5x+9y-6

Step-by-step explanation:

Step 1:

Remove bracket,  

x+y-6x+8y-6

collect like terms and simplify,

x-6x+y+8y-6= -5x+9y-6

Answer:

103

Step-by-step explanation:

To find the nearest liter look at the 4th digit in the actual number, 103.468. Since the value of 4 is less than 5 you'll round down to 0 making the nearest liter 103.

Answer:

5/6

Step-by-step explanation:

There are 5 steps to solving this problem:

Using these steps, we see that:

Answer:

The 8th term is [tex]\frac{1}{729}[/tex].

Step-by-step explanation:

Let's begin with the formula for a geometric sequence. We know this is geometric because we are working with a common ratio, or the number we multiply to find each term.

[tex]a_n=a_0(r)^{n-1}[/tex]

In this formula, [tex]a_0[/tex] is the first term, [tex]r[/tex] is the common ratio, and [tex]n[/tex] is the desired term. We know the values of [tex]r[/tex], [tex]a_0[/tex], and [tex]n[/tex] from the given information:

[tex]a_0=3\\r=\frac{1}{3}\\n=8[/tex]

Substituting those values we get:

[tex]a_8=3(\frac{1}{3})^{8-1}[/tex]

[tex]a_8=3(\frac{1}{3})^7\\a_8=3(\frac{1}{2187})\\a_8=\frac{3}{2187}\\a_8=\frac{1}{729}[/tex]

Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.

The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.

Find the adjacent side of each right triangle using the tangent ratio:

∅ = 32

Opposite side = 52 ft

Adjacent side = x

Plug in the values into the tangent ratio:

tan 32 = 52/x

x = 52/tan 32

x = 83.2 ft.

Distance across the suspension bridge = 6(83.2) = 499.2 ft.

Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

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Answer:

13 not including Shawna

Step-by-step explanation:

First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.

Answer:

13

Step-by-step explanation:

13 x 3=39. There is one remaing, +1 = 40.

Answer:

Radioactive in half life is 51gram

Step-by-step explanation:

80grams:12years

X :7.6years

12x÷x=x

7.6×80÷12=51gram

Answer:

239 grams.

Step-by-step explanation:

Half life t(1/2) = ln 2 / k

So 7.6 = ln 2 / k

k = ln 2 / 7.6 = 0 0901204

N = No e^-kt

So after 12 years

80 = No / e^(-0.0901204*12)

No = 80 / e^(-0.0901204*12)

= 239.

Answer: 15

Step-by-step explanation:

Area of a triangle = base * height.

Since the inside figure is a square, the base of the triangle must be 5.

To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.

Plug these numbers into the formula: 5 * 6 / 2 = 15 :)

Answer:

the answer is 29

Step-by-step explanation:

The answer is 12 because

the length is 17 then i did minus 5 since that's the width

17-5=12

that's the length for the slanted part then......

12+12=24+5=29

(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.