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mr Goodwill [35]
2 years ago
12

WORD PROBLEM

Mathematics
1 answer:
Nina [5.8K]2 years ago
5 0
It costs 2.50 for 1 taco and 4 dollars for 1 burrito
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A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
uysha [10]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

6 0
2 years ago
Translate this sentence into an equation.
Ber [7]

Answer: 7c=91

Step-by-step explanation: Product means multiplication so Carlos' height- "c" times 7 equals 91.

5 0
2 years ago
Read 2 more answers
Geometry 10 Unit 7 Circles Test Question 16
Sergio039 [100]
X is 15



8x - 10 + 6x + 10x + 10 = 360 \\ 8x + 6x + 10x = 10 - 10 + 360 \\ 24x = 360
x = \frac{360}{24 } = 15

good luck
4 0
3 years ago
The digit \greenD88start color #1fab54, 8, end color #1fab54 in which number represents a value of 888 thousandths?
Arte-miy333 [17]

<em>Question:</em>

<em>The digit 8 in which number represents a value of 8 thousandths? </em>

Answer:

See Explanation

Step-by-step explanation:

The question requires options and the options are missing.

However, the following explanation will guide you

Start by representing 8 thousandths as a digit

\frac{8}{1000} = 0.008

i.e.

8 thousandths implies 0.008

Next;

Replace the 0s with dashes

_ . _ _8

Note that there are two dashes after the decimal point and before 8

PS: The dashes are used to represent digits

This implies that thousandths is the 3rd digit after the decimal point

Typical examples to back up this explanation are:

<em>17.008, 1.1489, 0.008 and so on...</em>

3 0
3 years ago
6. A bus station has 8 buses that hold a total
lesantik [10]

Answer:

1040 passengers

Step-by-step explanation:

416÷8=52

52×20=1040

5 0
2 years ago
Read 2 more answers
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