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zhuklara [117]
4 years ago
9

There are 16 circles and 20 squares. What is the simplest ratio of circles to total shapes

Mathematics
1 answer:
denis-greek [22]4 years ago
3 0

Answer:

4 : 9

Step-by-step explanation:

Step 1: Find total amount of shapes

16 circles + 20 squares = 36 total shapes

Step 2: Write out ratio of circles to total shapes

16 : 36

Step 3: Simplify by dividing both numbers by 4

16/4 : 36/4

4 : 9

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F=f (1-v/s) change the subject of the formula into v
Artyom0805 [142]
Changing the subject of the formula into v means expressing v in terms of the other given variables. So given the original equation, as shown below, we can rearrange it so that we have v isolated on one side.

F = f(1 - \frac{v}{s})
\frac{F}{f} = 1 - \frac{v}{s}
\frac{v}{s} = 1 - \frac{F}{f}

To isolate v, we can just multiply s to both sides and come up with the final equation below.

v = s(1 - \frac{F}{f})

Thus, we have v = s(1 - F/f) with v as the subject of the formula.

Answer: v = s(1 - F/f)
8 0
3 years ago
Please help! 10 points
Orlov [11]
<h2>Greetings!</h2>

Answer:

Angle A is 118°

Step-by-step explanation:

All angles in a circle add up to 180, so this means that all the measurements of the three angles add to 180:

x + 2x + 13 + x - 8 = 180

Clean it up:

3x + x + x + 13 -8

5x -5 = 180

To isolate the 5x, you need to move the +5 over to the other side, making it a negative 5:

5x = 180 - 5

5x = 175

Now divide each side by 5 to get the value of 1x:

\frac{5x}{5}  = \frac{175}{5}

x = 35

So angle A is:

3x + 13

3(35) + 13 = 118

<h3>So angle A is 118°</h3>
<h2>Hope this helps!</h2>
8 0
3 years ago
Read 2 more answers
IN Ohio, I-75 and I-80 intersect at right angles. What type of lines do I-75 and I-80 form?
mash [69]

Answer:

Step-by-step explanation:

Interesting question

They form at right angles. The reason is the highways meet at right angles is that the United States does something really interesting and well thought out with its highway system.

The odd numbers run North and South

The even numbers run East and West.

So I-75 runs North and South

I-80 runs East and West.

They will, when they meet, form a right angle. This works for the interstates, but there a system for the intrastates as well.

I wish Canada would do something like that.

5 0
3 years ago
The temperature of a patient during an illness is given by the function T = -0.1d2 + 1.2d + 98.2 where T = the patient's tempera
Marrrta [24]

Answer:

a) The highest temperature was registered on the sixth day after the onset of the illness.

b) The highest temperature of the patient is 101.8.

Step-by-step explanation:

Let T = -0.1\cdot d^{2}+1.2\cdot d +98.2, we can find the maximum and minimum temperature of the patient by means of the First and Second Derivative Tests, whose procedure is described below:

First Derivative Test

T' = -0.2\cdot d +1.2

-0.2\cdot d +1.2 = 0

d = 6

Second Derivative Test

T'' = -0.2

Which means that critical value found in the previous step is an absolute maximum and there is no absolute minimum.

a) The highest temperature was registered on the sixth day after the onset of the illness.

b) We evaluated the function at critical value found by First Derivative Test:

T (6) = -0.1\cdot (6)^{2}+1.2\cdot (6) +98.2

T(6) = 101.8

The highest temperature of the patient is 101.8.

4 0
3 years ago
Which of the following is NOT true about complementary angles? (A) Both angles are acute. (B) Neither angle can be a right angle
tester [92]

Answer:

(D) Their angle measures cannot be equal.

Step-by-step explanation:

(A) It's fine if both angles are acute.

(B) None of the angles can be a right angle.

(C) Their sum has to be 90°.

(D) Their angle measures can be equal.

3 0
3 years ago
Read 2 more answers
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