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S_A_V [24]
1 year ago
15

the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use

compatable numbers to estimate the width of the hall
Mathematics
1 answer:
Vadim26 [7]1 year ago
5 0
We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are also given that:
Area = 7400 square feet
length = 82 feet

Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet
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pantera1 [17]

Answer:

Yes, they are congruent by SAS postulate.

Step-by-step explanation:

Let us first name the vertices of both the triangles.

The labelled diagram is shown below.

Consider the triangles ABC and ACD

Statements                                                               Reasons

1. BC ≅ AC                                                               Given

2. ∠ ACB ≅ ∠ CAD                                                 Given

3. AC ≅ AC                                        Common sides are congruent due to Reflexive property

As two corresponding sides and the included angles between them are congruent, therefore the two triangles are congruent by SAS postulate.

So, we can conclude that the given triangles are congruent.

4 0
2 years ago
Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti
den301095 [7]

Curl is defined as:

\bigtriangledown \times F=\frac{ \int F.dr}{Area}

Which can be rewritten as:

\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}

This is because C1 lies on the xy plane and thus it's unit vector will be \widehat{k}.

By similar arguments the rest will follow too.

Now, area of each circle will be: \pi \times (0.1)^2=0.01 \pi

Therefore, Curl, as per our definition will be:

\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}

Thus, Curl=40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}

Which is the required answer.

7 0
2 years ago
4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L
gulaghasi [49]
This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory. 
5 0
2 years ago
A lab requires 38g of sodium bicarbonate. One box of sodium bicarbonate contains 454 g. How many boxes will the teacher require
lilavasa [31]

Answer:

2 boxes

Step-by-step explanation:

6 0
2 years ago
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If f(1) = 0 what are all the roots of the function f(x)=x^3+3x^2-x-3 use the remainder theorem.
ArbitrLikvidat [17]

Solution:

As we are given that f(1) = 0 .

It mean that (x-1) is one of the factor of the given equation.

Remainder theorem can be applied as below:

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Hence the factors are (x-1),(x+3) and (x+1).

Hence the correct option is B.

5 0
2 years ago
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