Activity
Lewis directs the school marching band. He uses scale drawings of the football field to design marching formations for the band. The football field is 100 yards long and 53 1/3 yards wide. Lewis always uses a scale of 1 inch to 10 yards for his drawings.

Complete the steps below to find the length and width of the football field as it appears in one of Lewis’s scale drawings.

Part A
What is the actual area of the football field? Assume that the field is shaped like a rectangle.
Part B
Write a ratio to represent the scale used in the drawing.
Part C
What is the length of the football field in the scale drawing?
Part D
What is the width of the football field in the scale drawing?
Part E
What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.
Part F
What is the ratio of the area of the football field in the scale drawing to the area of the actual football field?

Answer:

I think its D

Step-by-step explanation:

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Answer:

w=15a-5b+2

w+5b-2=15a

(w+5b-2)/15=a

Step-by-step explanation:

The value of a in the expression w = 5(3a - b) + 2 is a = (1 + 5b - 2)/15.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given an expression  w = 5(3a - b) + 2.

Now to make 'a' the subject is the same as finding the value of a.

w = 5(3a - b) + 2.

w = 15a - 5b + 2.

w + 5b - 2 = 15a.

a = (1 + 5b - 2)/15.

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Answer:

6.5 tons

Step-by-step explanation:

A ton is equal to 2000 pounds.

13000/2000 = 6.5

Given:

The equation of the parabola is

[tex]y=2x^2+8x+3[/tex]

To find:

The vertex and check whether it opens up or down.

Solution:

We have,

[tex]y=2x^2+8x+3[/tex]

Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.

The vertex of parabola [tex]f(x)=ax^2+bx+c[/tex] is

[tex]\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

Here, a=2, b=8 and c=3.

[tex]\dfrac{-b}{2a}=\dfrac{-8}{2(2)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-8}{4}[/tex]

[tex]\dfrac{-b}{2a}=-2[/tex]

Putting x=-2 in the given equation.

[tex]y=2(-2)^2+8(-2)+3[/tex]

[tex]y=2(4)+(-16)+3[/tex]

[tex]y=8-16+3[/tex]

[tex]y=-5[/tex]

So, the vertex of the parabola is at (-2,-5) and parabola opens up.

Therefore, the correct option is D.

Answer:

$31365.60

Step-by-step explanation:

Answer:

The missing exponent is 7

Answer: C

Step-by-step explanation: C

The point on the polar coordinate that represents (-6, pi/12) is point C.

The point on the polar coordinate system that is equivalent to (-6, pi/12) is point C. This is the case because the value of pi/12 can be found on the cis formation to C.

In addition, multiplying the denominator by two gives us the value of 12. So, the point on this plane that is equal to  (-6, pi/12) is point C. The polar coordinate system is one of the many ways of representing a complex function.

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Answer:

4¹⁵

Step-by-step explanation:

3×5=15 ....................

Answer:

1

Step-by-step explanation:

the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry , the dot product of the Cartesian coordinates of two vectors is widely used.

Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

A. 25, obtuse

Step-by-step explanation:

By exterior angle theorem:

2x° = 30° + 20°

2x° = 50°

x° = 50°/2

x° = 25°

x = 25

Type of triangle: Obtuse

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion [tex]\hat p[/tex] = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

[tex]Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96[/tex] (From the z tables)

The margin of error is calculated by using the formula:

[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}[/tex]

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

Answer:

smallest side is HI

Step-by-step explanation:

because the opposite side of smaller angle is always small

Answer:

HI

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I got it right

Answer:

Answer is A

Step-by-step explanation:

Answer:

multiplied by 10 goes in the blank line.

Step-by-step explanation:

Choose the number of hours as 1.

The number on the y axis that is the number of miles is 10

So any time you have will be multiplied by 10 to get the total number of miles.

Answer:

That would just be magical- like let's imagine how it would turn out. :>

Step-by-step explanation:

Answer:

1+3+0+7+x/6=6....

11+x=36...

X=36-11=25

Answer:

5

Step-by-step explanation:

Answer:

square root of 3

Step-by-step explanation:

...................

12/16 becomes 6/8 which later becomes 3/4.

So,

The ratio of dogs to cats in simplest form is 3:4 [Option 4]

Hope it helps!

Answer is d mg ...........

HOPE IT HELP....

Answer:

X=5

Step-by-step explanation:

If figure B is a larger version of A, that means that 2 was multiplied by 2.5 to get 5. Therefore, x was multiplied by 2.5 to equal 12.5. So, if you divide 12.5 by 2.5, you will get the answer 5=x.

Hope This Helps!! ^O^

Answer:

when 2 in small figure is enlarged, it became 5, so it's multiplied by 2.5.

so, 2 x 2.5 = 5

therefore, X x 2.5 = 12.5

                 X = 12.5/2.5

                 X = 5

Hope it helped u,

pls mark as the brainliest

^_^

4 hours and 45 minutes

The number of miles increasing each

hour is 16, 16 times 4 is 64, and to get

to 76, you add an extra 3/4 of an hour

which is 45 minutes.

Hope it helps!

Answer:

5 times K is 5K

Step-by-step explanation:

gujjhgvbjyijgvbn

Answer:

5k

Step-by-step explanation:

5 times k is 5k

Answer:

Step-by-step explanation:

yes

if you solve the equation,

5x+15=7x-11

26=2x

x=26/2=13

Answer:

Increase by 5 times

Step-by-step explanation:

Given that from the ideal gas law;

PV = nRT

P= pressure

V= volume

n= number of moles

R= gas constant

T = temperature

It the follows that;

V= nRT/P

When the number of moles (quantity of helium) is increased by a factor of 5 while temperature and pressure remain constant, we can write;

PV = 5nRT

V = 5nRT/P

Hence the volume increases by a factor of 5.

Answer:

its 5a+b don't report my answer because its correct

Step-by-step explanation:

Answer:

5a+b

Step-by-step explanation:

Answer:

lnx-24ln+lnx+100ln=3ln5

2lnx+76ln=3ln5

Answer:

landed

landed since it has to be past tense.

Answer:

landed

Step-by-step explanation:

"this morning" suggests it is in the past tense, so past tense is needed.