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2 years ago

The seats at a football stadium are on a slope with gradient of 1/2. What is the height of the bottom seats?

Mathematics

2 answers:

pochemuha2 years ago

6 0

Answer:

ANS IS 2m

Step-by-step explanation:

we can solve it by using coordinate geometry

adelina 88 [10]2 years ago

6 0

Answer:

Height of the bottom seats is 2 meter.

Step-by-step explanation:

It has been given in the question seats are located on a slope having gradient $\frac{1}{2}$

We have to find the height h of the bottom seats.

Since gradient = $tan\theta=\frac{1}{2}$

Therefore, from the figure attached,

$tan\theta =\frac{(12-h)}{20}$

$\frac{1}{2}=\frac{(12-h)}{20}$

12 - h = $\frac{20}{2}$

12 - h = 10

h = 12 - 10

h = 2 m

Therefore, height of the bottom seats if 2 m.

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Cells B1, C1, and D1 contain the values Seat1Row1, Seat1Row2, and Seat1Row3. If cells B1, C1, and D1 were selected, and autofill

Reil [10]

Answer:

The autofilled values would be Seat1Row4, Seat1Row5, Seat1Row6

Step-by-step explanation:

Given

B1 = Seat1Row1

C1 = Seat1Row2

D1 = Seat1Row3

Required

Values of E1, F1, G1 if autofilled

Autofill in Microsoft Office Excel (Ms Excel).is used to automatically fill cells base on suggestion from previous cells.

The autofill feature of Ms Excel works data types such as numbers and alphanumeric among others.

But for autofill to work on alphanumeric in Ms Excel, only the numeric part will be altered.

In this case, the series of text in B1, C1 and D1 are Seat1Row1, Seat1Row2, Seat1Row3

"Seat1Row" will be regarded as string while 1,2,3 will be incremented and the resulting alphanumeric values will be saved in their respective cells.

Hence,

Cell E1 will be filled with Seat1Row4

F1 will be filled with Seat1Row5

G1 will be filled with Seat1Row6

See attachment

6 0

2 years ago

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Which equation is y=3(x-2)^2-(x-5)^2 rewritten in vertex form?

Misha Larkins [42]

The question does not present the options, but this does not interfere with the resolution

we have that
y=3(x-2)²-(x-5)²
y=3(x²-4x+4)-(x²-10x+25)
y=3x²-12x+12-x²+10x-25
y=(3x²-x²)+(-12x+10x)+(12-25)
y=2x²-2x-13
y+13=2x²-2x
y+13=2(x²-x)
y+13+0.50=2(x²-x+0.25)
y+13.50=2(x-0.5)²------> this is the equation in the vertex form

the vertex is the point (0.5,-13.50)

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2 years ago

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Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge

dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

$f(x)=ax^2+bx+c.$

Then

1. $f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;$

2. $f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;$

3. $f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.$

Solve the system of two equations:

$\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.$

Then

$22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.$

Thus, the equation of the function is

$f(x)=-\dfrac{1}{2}x^2+6x+2.$

Note that

$f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;$

$f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.$

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2 years ago

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Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Please, share the answer options next time.

1) f(x) = 2x^2– x – 6 is a quadratic function.

2) The coefficients of this polynomial are a = 2, b = -1 and c = -6

2) Its graph opens up.

3) The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4

4) the y coordinate of the vertex is f(1/4), or -6 1/8

5) The vertex is at (1/4, -6 1/8)

6) The y-intercept is at f(0): 2(0)^2 - 0 - 6 = -6 => (0, -6)

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2 years ago

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Find the probability of rolling divisors of 12

AVprozaik [17]

If you're talking about dice than there are six sides of a die, right? 5 of those 6 numbers are divisors of 12. 1,2,3,4, and 6. 5/6 is 0.833... which is 83% of 6. So the probability of rolling divisors of 12 is 83%.

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2 years ago

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