I need help with this problem and if you can help me with the other ones like this that would be great thx

Answers

Answer 1

Answer: all you have to do is multiply 45 by Pi= 45 x 3.14

Answer 2

Answer: The formula to find Circumference is: C = Pi x D (Pi is 3.14 and D is Diameter). Hence, 3.14 x 45 = 141.3 cm. The answer is 141.3 cm.
The circumference of a circle is Π*d.

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The librarian was checking the thicknesses of several books and found that the average thickness of a book was 1.8 centimeters. She found this by averaging the thicknesses of five different books. Four of the thicknesses were 1.4 cm, 1.9 cm, 2.1 cm, and 2.4 cm. What was the thickness of the fifth book that she measured?

Which amounts form part of the total cost of a mortgage

Answers

Answer:

closing cost

Step-by-step explanation:

Answer:

On Plato it's C: closing costs, and monthly loan payments

A rug has an area of 2/3 of a square meter and has a length of 5/6 of a meter. Determine the width of the rug

Answers

A rug has an area of 2/3 square meter. Length of 5/6 meter

A = 2/3 m^2
L = 5/6 m

A = L X W
A/L = W

2/3 / 5/6 = W
2/3 • 6/5 = 12/15 = 4/5.

Width of the rug is 4/5.

Final answer:

The width of the rug is determined by dividing its area by its length. Given that the area is 2/3 of a square meter and the length is 5/6 of a meter, the width of the rug is 4/5 of a meter.

Explanation:

The area of a rectangle is determined by multiplying its length by its width. In this question, we know the area and the length of the rug, so we can calculate its width using this formula:

Width = Area / Length

From the question, we know that the area of the rug is 2/3 of a square meter and the length is 5/6 of a meter. Substituting these values into our formula we get:

Width = 2/3 / 5/6

To simplify this fraction, we multiply the top and bottom of the fraction by the reciprocal of 5/6, which is 6/5. Hence we get:

Width = (2/3) * (6/5) = 4/5 m.

Therefore, the width of the rug is 4/5 of a meter.

Learn more about Rectangular Area Calculation here:

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Calculate the area of the following figure correct to 2 decimal places if can show or explain work

Answers

The way we approach a question like this, is by looking at what portion of the circle we actually have to calculate the area of. We know that a circle is a shape that goes 360 degrees around a point. Therefore we know that, for example, a semicircle, or half a circle, would cover half the amount of degrees. This is important, because as well as covering half the number of degrees, it also covers half the area. For the figure in your picture, we are told that the portion missing from the circle is 90 degrees (shown by the right angle symbol in the center).
this means that 90 degrees worth of the circle is missing, so if we do 360÷90, we find that the answer equals $(3)/(4)$ . This means that we are dealing with $(3)/(4)$ of a circle. So, we simply find the area of the circle normally, and then multiply by $(3)/(4)$ :
The formula for area of a circle is $\pi r^(2)$ , so in this case, it can be said to be $\pi (10^(2) )$ , which is equal to 314.15
Now we simply take that area and multiply it by the fraction we established earlier:
314.15 x $(3)/(4)$ = 235.61
Therefore the area of the figure is 235.61 $cm^(2)$
I hope this helped and please remember to try and not only understand the answer, but the maths that worked it out too :))

Please Solve:Adding and Subtracting PolymonialsAdd: (–6 – n + 2n2) + (8 – 3n – 10n2)
A.–2 – 4n – 8n2
B.2 – 2n – 8n2
C.2 – 4n – 8n2
D.–2 – 2n – 8n2

Add: (8x + 2y – 3z – 4) + (–4x – 5y + 4z + 6)
A.–4x + 3y – z + 2
B.4x – 3y – z + 2
C.–4x + 3y –z – 2
D.4x – 3y + z + 2

Subtract and simplify: (2p^2q – 3pq^2 + q^3) – (p^2q + q^3)
A.p^2q – 3pq^2
B.2p^2q – 3pq^2
C.p^2q – 3pq^2+2q^3
D.p^2q – 2pq^2

Subtract and simplify: (–y^2 – 3y – 5) – (–3y^2 – 7y + 4)
A.2y^2 – 10y + 4
B.2y^2 + 4y – 9
C.–2y^2 – 10y – 1
D.2y^2 – 7y – 9

Subtract and simplify: (10x^4 – 2x + 7) – (6x^4 + 2x^3 – 4x^2 – 1)
A.4x^4 – 2x^3 + 4x^2 – 2x + 6
B.4x^4 + 2x^3 – 4x^2 – 2x + 8
C.4x^4 – 2x^3 + 4x^2 – 2x + 8
D.16x^4 + 2x^3 + 4x^2 – 2x + 8

Answers

$Add:\n \n (-6-n + 2n^2) + (8 - 3n - 10n^2) =\n \n= -6-n + 2n^2 + 8 - 3n - 10n^2 =\n \n=2 - 4n -8n^2 \n \n Answer : \ C. \ \ \2 - 4n - 8n2$

$Add: \n \n (8x + 2y - 3z -4) + (-4x - 5y + 4z + 6) = \n \n =8x + 2y - 3z -4 -4x - 5y + 4z + 6=\n \n=4 x - 3 y + z + 2 \n \n Answer : \ D. \ \ \ 4x - 3y + z + 2$

$Subtract \ and \ simplify: \n\n (2p^2q - 3pq^2 + q^3) -(p^2q + q^3)=\n \n= 2p^2q - 3pq^2 + q^3 - p^2q -q^3 = \n \n= p^2q - 3pq^2 \n \n Answer : \ A. \ \ \ \ p^2q - 3pq^2$

$Subtract \ and \ simplify: \n\n (-y^2 - 3y-5) - (-3y^2 - 7y + 4)= \n \n= -y^2 - 3y-5+3y^2 +7y- 4 =\n \n=2y^2+4y-9 \n \nAnswer : \ B.\ \ \ \ 2y^2 + 4y - 9$

$Subtract \ and \ simplify: \n\n (10x^4 -2x + 7)-(6x^4 + 2x^3 -4x^2 - 1) = \n \n = 10x^4 -2x + 7 - 6x^4 - 2x^3 +4x^2 + 1=\n \n=4x^4 -2x^3 +4x^2-2x + 8 \n \nAnswer : \ C. \ \ \ \4x^4 -2x^3 + 4x^2- 2x + 8$

$1)\n(-6-n + 2n^2) + (8-3n-10n^2) =2-4n-8n^2\ \ \ \Rightarrow\ \ \ Ans.\ C\n\n2)\n(8x+2y-3z-4)+(-4x-5y+4z+6)=4x-3y+z+2\ \Rightarrow\ Ans.D\n\n3)\n(2p^2q-3pq^2+q^3)-(p^2q + q^3) =p^2q-3pq^2\ \ \ \Rightarrow\ \ \ Ans.\ A\n\n4)\n (-y^2-3y-5)-(-3y^2-7y + 4) =-y^2-3y-5+3y^2+7y - 4=\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2y^2+4y-9\ \ \ \Rightarrow\ \ \ Ans.\ B\n$

$5)\n(10x^4-2x + 7)-(6x^4 + 2x^3-4x^2-1) =\n=10x^4-2x + 7-6x^4 - 2x^3+4x^2+1=\n=4x^4-2x^3+4x^2-2x+8\ \ \ \Rightarrow\ \ \ Ans.\ C$

Triangle DEF is similar to triangle FGH. Both are right triangles.Which statements about the two triangles must be true?

Choose all answers that are correct.

A.
Sides DF and FH are congruent.

B.
Triangle DEF is congruent to triangle FGH.

C.
Side DF has the same slope as side FH.

D.
Sides DE and FE are proportional to sides FG and HG.

Answers

Congruent triangles aretriangles with the same sides and the same measure of angles. You are giventriangle DEF which is similar to triangle FGH. From the figure, side FH islarger than side DF. So the statement of them being congruent cancels out. TriangleDEF is smaller in size than triangle FGH. So they are not congruent. The slopeis defined as the rise over run. Side DF has the same slope as side FH. Sides DEand FE are proportional to sides FG and HG. Only C and D is correct.

Multiply using mental math 20×72×5

Answers

20 x 5 = 100 and 100 x 72 = 7200

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