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Zepler [3.9K]
3 years ago
11

*PLS HELP WILL MARK BRAINLIEST 100 POINTS* A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick arch

way. The base of the
archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic. If the truck remains just
to the right of the median, will it be able to pass under the archway without damage?
Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

No

Step-by-step explanation:

Think of the archway as a semicircle with a radius of 28/2 = 14

The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13

c² = a² + b²

c² = 7² + 13²

c² = 49 + 169

c² = 218

c = 14.76

Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage

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GIVE THE BRAINLIEST PLWS ANSWER. Write and evaluate the expression. Then, complete the statements. ten more than the product of
NemiM [27]

Answer:

17.

Step-by-step explanation:

Statement: "ten more than the product of two and a number"

Translation: 10 + (2 * x)

x = 3.5

10 + (2 * 3.5)

= 10 + 7

= 17.

Hope this helps!

5 0
3 years ago
A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to
tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

 

From the problem statement, we can formulate the following equations:

1. y + z = 30                                         ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120                      ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90                        ---> each animal has 2 eyes only

 

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

 

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0
3 years ago
The diameter of a circle is 34 feet. what is the circles circumference ?
Crazy boy [7]

Answer:

106.81

Step-by-step explanation:

first convert diameter to radius

  • radius = diameter / 2
  • radius = 34/2 = 17

now find circumference

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r = radius

3 0
2 years ago
Read 2 more answers
Help pls also an answer ​
Schach [20]

84.5-19.7= 67.8

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4 0
3 years ago
Read 2 more answers
An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The objec
belka [17]

Answer:

4,080grams

Step-by-step explanation:

the formula for density is:

d=\frac{m}{V}

where d is density, m is mass, and V is volume.

solving for m in the last equation:

m=d*V

so if we find the volume and multiply it by the density d=8.3gr/cm^3  we will get the mass of the object.

The volume of a rectangular prism is given by:

V=l*w*h

where l is length, w is width and h is height:

l=5in\\w=3in\\h=2in

we substitute to find the volume:

V=5in*3in*2in\\V=30in^3

since the density has units of cm^3 we need the volume also in units of cm^3 , so we make the conversion using:

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multiplying by 30:

30in^3=491.612cm^3

and now we find the mass with the equation:

m=d*V

substituting d and V:

m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr

the nearest gram is: 4,080grams

8 0
3 years ago
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