What is the ratio 10:12 in 1:n

Answers

Answer 1

Answer: so 10:12
we want to convert 10 to 1
divide both by 10
10/10=1
12/10=1.2
answer
10:12=1:1.2
n=1.2

Answer 2

Answer: $(10)/(12) =(1)/(n)\n\n\sf{Cross~multiply}}\n\n10n = 12\n\n\sf{Divide~both~sides~by~10}\n\n \boxed{\bf{n = 1.2}}$

n = 1.2

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Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.1.) Prove that the quadrilateral whose vertices are I(-2,3). J(2,6), K(7,6), and L(3, 3) is a rhombus.

Answers

Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.

I think in these problems the first step is to express each side as a vector. A vector is the difference between points. When two sides have the same vector (or negatives) it means they're parallel and congruent. So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL. That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.

Let's calculate these vectors:

IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)

LK = K - L = (7, 6) - (3, 3) = (4, 3)

IJ = LK, so far so good

(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)

JK = K - J = (7,6) - (2,6) = (5,0)

IL = L - I = (3, 3) - (-2, 3) = (5, 0)

Those are the same too.

Now we have to show IJ ≅ JK

The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK

We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.

Assume the bear can walk in any direction at a rate of 2 miles per hour. Suppose the bear was last seen 4 hours ago.how large an area must the searchers cover? use 3.14.round your answer to the nearest mile.

Answers

The bear can walk at a rate of 2 mph, which means after 4 hours it could have traveled 8 miles. That is our radius. To calculate the area of a circle, remember the formula
A = $\pi$ r^2

3.14 * 8^2 = A
3.14 * 64 = A
200.96 = A

An area of 200.96 square miles must be searched.

How do you write 40% as a fraction in simplest form

Answers

2/5 and im 100% sure

well 40% in fraction form for would be 40/100. reducing it would take it down to 4/10 then reducing it again would put it as 2/5. hope this helps!

What is the opposite of 1/3 and of -7/12

Answers

the opposite of 1/3 is -1/3 and the opposite of -7/12 is 7/12 i hope i helped you

A picture frame consists of two rectangular strips of wood, each having a width of 1 inch on all sides. If the area of the inner light gray strip is 100 in^2, then compute the area of the outer dark gray strip in square inches.

Answers

Step-by-step explanation:

To compute the area of the outer dark gray strip, you'll need to know the dimensions of the inner light gray strip. Since the inner strip has a width of 1 inch on all sides, you can subtract 2 inches from both the length and width of the outer frame to find the dimensions of the inner strip.

Let's denote the length of the inner strip as L inches and the width as W inches. Then, the dimensions of the outer frame would be (L + 2) inches for the length and (W + 2) inches for the width.

Since the area of the inner light gray strip is 100 square inches, you can set up an equation:

L * W = 100

Now, you can find the area of the outer dark gray strip:

Outer strip area = (L + 2) * (W + 2) - L * W

Substitute the value of L * W from the equation above:

Outer strip area = (L + 2) * (W + 2) - 100

You'll need the specific values of L and W to calculate the exact area of the outer dark gray strip.

Answer:

121

Step-by-step explanation:

the square root of 100 is 10

width is 1 inch