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2 years ago

A clay model of a new car is 7 in. long if the car is 21 ft long how could you find the scale used to make the model

Mathematics

1 answer:

Marysya12 [62]2 years ago

3 0

Answer:

The scale model = 1 :36 or 1 to 26

Step-by-step explanation:

A clay model of a new car is 7 in. long if the car is 21 ft long

Note that:

1 foot = 12 inches

21 foot =

Cross Multiply

21 foot × 12 inches

= 252 inches

Therefore, the scale =

7 inches : 252 inches

1 : 36

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a golfer needs to hit a ball a distance of 500 feet, but there is a 60-foot tall tree that is 100 feet in front of the point whe

jok3333 [9.3K]

We can create a parabola equation of the trajectory using the vertex form:

y = a (x – h)^2 + k

The center is at h and k, where h and k are the points at the maximum height so:

h = 250

k = 120

Therefore:

y = a (x – 250)^2 + 120

At the initial point, x = 0, y = 0, so we can solve for a:

0 = a (0 – 250)^2 + 120

0 = a (62,500) + 120

a = -0.00192

So the whole equation is:

y = -0.00192 (x – 250)^2 + 120

So find for y when the golf ball is above the tree, x = 400:

y = -0.00192 (400 - 250)^2 + 120

y = 76.8 ft

So the ball cleared the tree by:

76.8 ft – 60 ft = 16.8 ft

Answer:

16.8 ft

8 0

2 years ago

A lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long what is the area of the plywood?

Sholpan [36]

Answer:

$978\frac{1}{2}\text{ inches}^2$ .

Step-by-step explanation:

We have been given that a lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long.

Since plywood is in shape of rectangle, so to find the area of plywood we will multiply the length of plywood by its width.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of plywood}=23\frac{3}{4}\text{ inches}\times 41\frac{1}{5}\text{ inches}$

Let us convert our mixed fractions into improper fractions.

$\text{Area of plywood}=\frac{95}{4}\text{ inches}\times \frac{206}{5}\text{ inches}$

$\text{Area of plywood}=\frac{95}{4}\times \frac{206}{5}\text{ inches}\times \text{inches}$

Upon cancelling out greatest common factors we will get,

$\text{Area of plywood}=\frac{19}{2}\times 103\text{ inches}^2$

$\text{Area of plywood}=\frac{1957}{2}\text{ inches}^2$

Now let us convert our answer into mixed fraction.

$\text{Area of plywood}=978\frac{1}{2}\text{ inches}^2$

Therefore, the area of plywood is $978\frac{1}{2}\text{ inches}^2$ .

8 0

2 years ago

ALGEBRA Jake Duffy drove 12,568 miles

kirza4 [7]

Answer:

The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B

Step-by-step explanation:

Given as :

The distance drove by Jack Duffy = d = 12,568 miles

The fixed costs totaled = $1,485.00

The variable cost totaled = $2,015.75

Let The cost per mile that Jack Duffy charge = $x cost per miles

Now, According to question

The totaled cost = The fixed costs + The variable cost

Or, The totaled cost = $1,485.00 + $2,015.75

I.e The totaled cost = $3500.75

Now,

The cost per mile that Jack Duffy charge = $\dfrac{\extrm Total cost}{\textrm Total Distance}$

I.e x = $\dfrac{3500.75}{12568}$

∴ x = $0.278 per miles

So,The cost per mile that Jack Duffy charge = x = $0.278 per miles .

Hence,The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B Answer

5 0

2 years ago

What is the exact volume of the cone? 80π ft³ 4003π ft³ 400π ft³ 418710π ft³ Outline of cone with a dotted line rising from midd

rodikova [14]

Volume of cone = 1/3 x pi x r^2 x h
where r = 5 ft and h = 16ft

Volume = 1/3 x pi x 5^2 x 16 = 400/3 π ft^3

6 0

2 years ago

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olasank [31]

Xd answer is d I hope u find the answer

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2 years ago