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stealth61 [152]
3 years ago
8

John has 18 dogs and 27 cats in his pet lounge. What is the ratio of the cats to the animals in the lounge?

Mathematics
2 answers:
valkas [14]3 years ago
8 0

Answer:

27:45

Step-by-step explanation:

18+27=45 total animals

motikmotik3 years ago
8 0

Answer:

the ratio is 27:45 since it is cat to animals or in other words, the total amount of animals in the lounge

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A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 3. 14 for pi
KonstantinChe [14]

Answer:

87.92

In this case we're trying to find circumference

Formula: c = pi×d

The problem says to use 3.14 for pi

c = 3.14 × 28 = 87.92

3 0
3 years ago
In trapezoid ABCD, points M and N are arbitrary points on bases AB and CD respectively. Find the area of the trapezoid, if area
mel-nik [20]

Remark

This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.

Solution

The Base of Triangle ABN is AB

The Base of Triangle CDM is CD

The height of both given triangles is h. That is the distance between the two parallel lines.

Area ABN = 1/2*AB * h = 23 cm^2

Area CDM = 1/2*CD * h = 18 cm^2

Now the Area of the trapezoid is

Area_Trapezoid = 1/2 * h (AB + CD)     Using the distributive property Remove the brackets.

Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)

Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer

6 0
3 years ago
Describe how to solve an exponential equation with unlike bases.
kari74 [83]

Answer:

Mark me as brainlist

Step-by-step explanation:

Use logarithms to solve exponential equations whose terms cannot be rewritten with the same base

Solve exponential equations of the form    

y

=

A

e

k

t

 for t

Recognize when there may be extraneous solutions or no solutions for exponential equations

4 0
3 years ago
Read 2 more answers
I need to give an equation for an absolute value function that has a minimum. How do I determine that it has a minimum?.
tatyana61 [14]
To determine the minimum of an equation, we derive the <span>equation using differential calculus twice (or simply </span><span>take the second derivative of the function). If the </span><span>second derivative is greater than 0, then it is minimum; </span><span>else, if it is less than 1, the function contains the </span><span>maximum. If the second derivative is zero, then the </span><span>inflection point </span><span>is</span><span> identified.</span>
5 0
3 years ago
The average distance from Earth to the sun is about 9.3×10^7 miles. The average distance from Mars to the sun is about 1.4×10^8
diamong [38]

Move the decimal to the right (you go to the right since the exponent is positive, if the exponent was negative then you would move left) seven times, giving you 9,300,000 miles (for Earth). You then do the same with the next equation, giving you 140,000,000 miles (for Mars).

Finally, to find the official number of miles, you simply work the equation 140,000,000 - 9,300,000 .. giving you 130,700,000 miles.


If your teacher wants you to put it back into exponential form, then you first make the number into a decimal that is greater than one and less than ten.


1.30700000


Then, what you want to do is count all of the zeros as a single exponent, giving you 5, but we're not done yet. To get the correct answer, you have to also count the numbers until you reach the decimal. Remember to take out the zeros, because they're not really necessary anymore!


1.307×10^{8}

5 0
4 years ago
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