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svp [43]
2 years ago
10

It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to f

eed 14 people. If everyone gets a same sized piece how big is the piece going to be?
I NEED THIS ANSWER ASAP PLZ
Mathematics
1 answer:
Hoochie [10]2 years ago
3 0

Answer: 1\dfrac{3}{4}\text{ feet}

Step-by-step explanation:

Given: Length of sandwich = 10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}

Total people = 14

If everyone gets a same sized piece , then length of each piece should be

\dfrac{\text{ Length of sandwich}}{\text{Total people}}

=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}

Hence, length of each piece = 1\dfrac{3}{4}\text{ feet}

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Find an equation for the line tangent to the curve at the point defined by the given value of d²y/dx².​
mars1129 [50]

Answer:

Step-by-step explanation:

Given:

x = 2cost,

t = (1/2)arccosx

y = 2sint

dy/dx = dy/dt . dt/dx

dy/dt = 2cost

dt/dx = -1/√(1 - x²)

dy/dx = -2cost/√(1 - x²)

Differentiate again to obtain d²y/dx²

d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)

At t = π/4, we have

(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)

4 0
2 years ago
David has a triangular prism that has an equilateral base. Also, the base of the prism is of the same length as its height. Pick
Komok [63]

Answer:

a) Triangle

b) Rectangle

Step-by-step explanation:

A triangular prism that has an equilateral base and a height with the same length as the base of the prism.

a) Shape from horizontal slicing

A plane parallel to the base of a triangular prism will  intersect a cross section that is the same shape as its  bases. So the cross section of the horizontal slicing is an equilateral triangle (all the sides of the triangle are equal).

b) Shape from vertical slicing

If the triangular prism is sliced vertically, the resulting shape would be a rectangle with a length that is the same as the base of the prism.

4 0
3 years ago
What is the best method to solve the system of equations? 2x + 3y = 8 4x - 6y = 2?
Nana76 [90]
Answer: x = 9/4, y = 7/6

║<span>2x + 3y = 8
</span>║<span>4x - 6y = 2

</span>║4x + 6y = 16
║4x - 6y = 2

Add both equations together:

8x = 18
x = 9/4

Sub x = 9/4 into 2x + 3y = 8 
2(9/4) + 3y = 8
9/2 + 3y = 8
3y = 7/2
y = 7/6
5 0
3 years ago
Ragon, who lives on this planet, does a survey and finds that her colony of 237 contains 45 black-footed, one-headed Mizjigs; 69
Gemiola [76]

The answer is <u>A. 98</u>.

Because when you subtract 115 - 45 it equals 70 then you add 70 + 69 which equals 139 then you subtract 237 - 139 it equals <u>98</u> which is your answer!

<h2>      Hope this helps!</h2>
4 0
3 years ago
The heights of two similar parallelograms are 16 inches and 20 inches. Their
Fittoniya [83]

Answer: x=\dfrac{25}{21}

Step-by-step explanation:

Area of parallelogram = Base x height

If two parallelograms are similar, then their corresponding sides are proportional.

That means, \dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}

\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}

Hence, x=\dfrac{25}{21}

3 0
2 years ago
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