The archway of the main entrance of a university is modeled by the quadratic equation y = -x^2 + 6x. The university is hanging a banner at the main entrance at an angle defined by the equation 4y = 21 − x. At what points should the banner be attached to the archway?
A. (1, 5.5) and (5.25, 6.56)
B. (1, 5) and (5.25, 3.94)
C. (1.5, 4.87) and (3.5, 4.37)
D. (1.5, 5.62) and (3.5, 6.12)
E. There is no real solution.

Answer:

936 square units.

Step-by-step explanation:

Area formula of trapezoid: [tex]A=\frac{a+b}{2}h[/tex]

given information:

   a = 40

   b = 64

   h = 18

plug them into the formula:

[tex]A=\frac{40+64}{2}\cdot 18[/tex]

[tex]A = 936[/tex]

Answer:

6

Step-by-step explanation:

18×(3/6) = 918×(1/6) = 318×(2/6) = 6

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

C.) 64 to 66 seconds

because, the function is decreasing with respect to time between interval 64 to 66 seconds.

[tex]\#TeeNForeveR[/tex]

Answer:

arwa

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°)

Answer:

Right scalene triangle

Step-by-step explanation:

Scalene triangles have no equal sides. A right scalene triangle has no equal sides, and one right angle.

Answer:

vertical line of symmetry. if you split the shape in the middle, the two pieces would be the same. it also has rotational symmetry because if you rotate it, it would still look the same and be the same shape.

It does not have horizontal or diagonal symmetry because if you split it those ways, the two pieces made will be different. Because it has rotational and vertical symmetry, it does not have "no symmetry"

Answer:

12 and 13 I believe

Step-by-step explanation:

12x12=144

13x13=169

Answer:

A(10) = $13,961.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.25/100

r = 0.0525 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

P = 8259

r = 0.0525

t = 10 years.

Hence,

A = 8,259.00 × e^(0.0525×10)

A = $13,961.50

Therefore, the money that will be in the account after 10 years is $13,961.50

Answer:

It's a right angle triangle with

                        [tex]tan 12 = \frac{500}{x} \\\\x = \frac{500}{tan12}\\\\x = 2352.3ft[/tex]

Answer:

6 ft^2

Step-by-step explanation:

If the object in question is a cube, then we could say the length is 1, the depth is 1 and the height is 1, in which case each side of the cube has an area of 1 ft^2.  

There are 6 such sides, so the total surface area is 6 ft^2.

Next time please be explicit in naming the shape, either verbally or with a diagram.

Answer:

Step-by-step explanation:

Nope<3;p

Answer:

HEY ITS PROBABLY

Step-by-step explanation:

m<MSP = 120

Answer:

Step-by-step explanation:

Answer:

standard form is f(x) = ax^2 + bx + c

sample equation: f(x) = 5x^2 + 10x + 5. a=5, b=10, c=5

Step-by-step explanation:

a, b, and c are real numbers in the standard form equation. if a>0 the parabola opens upwards, if a<0 parabola opens downwards

Answer:

f(x)=ax2+bc+c

Step-by-step explanation:

I think...

Answer:

1: 40 hours

2: $100

3: A and D

4: 40 meals an hour

5: 25 presents

Answer:

ab= 11 and bc = 8

Step-by-step explanation:

Answer:

AB = 11 units,   BC = 8 units,

Step-by-step explanation:

Answer:

5685.12

Step-by-step explanation:

well , I hope it helps

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

Learn more about the Place Value:

https://brainly.com/question/27734142

#SPJ2

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Answer:

The answer is still 15. Because

Answer:

3/7

Step-by-step explanation:

A team of 7 construction workers worked together to build 3 sheds in 10 days. How much of a shed did each of them build?

Number of workers = 7

Number of sheds = 3

7 workers built 3 sheds

let

x = number of shed each worker built

Number of sheds = Number of workers × number of shed each worker built

3 = 7 * x

3 = 7x

Divide both sides by 7

3 / 7 = 7x / 7

3/7 = x

x = 3/7

x = number of shed each worker built = 3/7

Answer:

x = 129

Step-by-step explanation:

Mathematically, the sum of interior angles of a polygon can be calculated using the formula;

(n-2)180

from the question given , n = 7 since the polygon has 7 sides

thus, we have it that

(7-2)180 = 5 * 180 = 900

Mathematically, by adding all the given interior angles, we can get the value of the total

We have this as;

900 = x + 131 + 119 + 125 + 133 + 125+ 138

900 = x + 771

x = 900-771

x = 129

A option A

Step-by-step explanation:

according to if the binders its so important you need to buy it for $30 but its not really important buy for 16.80 and if you want to use for 1 time buy 7 binders but if you want to use much times buy for $30 and you need to see if that really care because you need to see if was a good material

Answer:

Your answer would be 1 x10^6.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the.

The sign of the exponent will depend on the direction you are moving the decimal.

Hope that makes sense.

Answer:

50cm or 500 mm

Step-by-step explanation:

A quadrilateral is a four sided figure. So, the base of the quadrilateral pyramid has four sides. It also has 4 edges and 4 bases

sum of edges = sum of base edges + sum of lateral edges

1cm = 10mm

55mm = 5.5cm

sum of base edges : 5.5 x 4 = 22cm

sum of lateral edges : 7 x 4 = 28 cm

22 + 28 = 50 cm or 500mm

Answer:

Just put 0 on Q and do with the rest of the numbers on the top

Step-by-step explanation:

3sin(2x0) =

3sin(2×3'14/6)=

*pie is equal to 3,14

3sin(2×3,14/4)=

Answer:

x= 20

Step-by-step explanation: 20+5 is 25 degrees 20 times 7 is 140-5 is 135 degrees +20 degrees equals 180 degrees

Answer:

the coffee does she need is [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given that

Mx Duncan used three fourth of the cup of coffee

And, she realized that she only required half of the three-fourth of coffee

We need to find out the how much of the coffee does she need

So,

[tex]= \frac{3}{4} \times \frac{1}{2} \\\\= \frac{3}{8}[/tex]

Hence, the coffee does she need is [tex]\frac{3}{8}[/tex]

the same would be considered and relevant

Answer:

180 cups

Step-by-step explanation:

120 cups when two-third full

If 120= (2÷3)

Then one third full is 60 cups

So 60 cups × 3

180 cups