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Evgesh-ka [11]
3 years ago
6

How much paper is used for the label on the can of peas? Round your answer to the nearest tenth of a square inch.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0
Find the circumference of the lid (this is like a side length of a rectangle)

2*pi*2= 12.566in

Then multiply by 3 (the other side length)

12.566*3= 37.7in squared
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Solve for b2 in A = 1/2 h ( b1 + b2 ), if A = 16, h = 4, and b1 = 3.
Katarina [22]

Hello from MrBillDoesMath!

Answer:

b2 = 5  


Discussion:

A = 1/2 h (b1 + b2) .

Substituting A = 16, h = 4, and b1=3 in the above formula gives:

16 = (1/2) (4)( 3 + b2)    =>         (as (1/2)4 = 2) )

16 = 2 ( 3 + b2)             =>         (divide both sides by 2)

8 = (3 + b2)                   =>         (subtract 3 from both sides)

8-3  = b2                       =>

5     =  b2


Check Area formula:

Does A = 16 = (1/2)(4)(3+5)   ?

Does 16 = (1/2) (4)(8)             ?

Does 16 = (1/2)(32)                ?  Yes it does so our calculation for b2 is correct




Thank you,

MrB

7 0
3 years ago
What is the equation of the line shown in this graph
prisoha [69]
Slope = (2+4)/(1-4) = 6/-3 = -2
passing thru (1.2)
y = mx + b
b = y - mx
b = 2 - (-2)(1)
b = 2 + 2
b = 4

equation
y = -2x + 4
7 0
3 years ago
Which of the following vectors are orthogonal to (1,5)? Check all that apply
Andre45 [30]
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal

</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal 

</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are  orthogonal 

<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal 

<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are  orthogonal 

the answer is 
B. (10,-2) and D. (-5,1)  are  orthogonal  to  (1,5)
7 0
3 years ago
Suppose you inherited a house that was purchased in 1950 for 20,000. It is now 2015 and the value of the house has increased by
Masja [62]

Answer:

I think the house would now costs $85,000

Step-by-step explanation:

First, I multiplied by how many years between 1950 to 2015 and 5 to get 325.

Next, I divided 20,000 by 100 to get 200 to find 1% of 20,000.

Then, I multiplied 325 by 200 to get 65,000

Finally, I added 20,000 to 65,000 to get 85,000

So, I guess/answer is $85,000

If I was wrong, then just say, "Sorry, but that was incorrect."

5 0
3 years ago
Read 2 more answers
The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
Read 2 more answers
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