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wariber [46]
3 years ago
5

How do u solve ...." taylor took his children in the zoo. 2/6 of the lion packs were not well due to infection. 10 lion packs we

re well. how many lions were ill.?
Mathematics
1 answer:
erastova [34]3 years ago
4 0
To answer, we let x be the total number of lions in the zoo. Since, we are given that 2/6 of these lions are not well, this means that 4/6 of them are well. The given 10 is the number of lions that are well. 
                                (4/6)(x) = 10
The value of x is 15. Therefore, 5 of the lions are ill. 
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In right triangle ABC with right angle C, AC=9 and the measure of angle B=30 degree. Find the length of AB.
pshichka [43]
From\ triangle\ with\ angles: 30^{\circ},60^{\circ},90^{\circ}\\\
|AB|=a\sqrt{3}\\
|AC|=a=9\\\\
|AB|=9\sqrt{3}\\\\
Length\ of\ |AB|\ is\ equal\ to\ 9\sqrt{3}.

3 0
3 years ago
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How would you graph 2x > 6 on a number line?
elena55 [62]

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6 0
3 years ago
A man invests $8 000 at 12% simple interest for 3 years. If he invests the same amount of money for the same time period at 12%
AleksandrR [38]

Answer:

  $359.42

Step-by-step explanation:

The difference in the investment values can be computed by making use of the formulas for the account balance in each case.

  compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually

  simple interst: A = P(1 +rt) . . . . simple interest at rate r

__

The account earning simple interest will have a balance of ...

  A = $8000(1 +0.12×3) = $10,880

The account earning compound interest will have a balance of ...

  A = $8000(1 +0.12)^3 ≈ $11,239.42

The difference between the two investments is ...

  $11,239.42 -10,880 = $359.42

5 0
2 years ago
The table shows the participation in a school's debate club during the last four years.
AURORKA [14]
14! Is the right answer
5 0
3 years ago
Part
goldfiish [28.3K]

When a shape is rotated, it must be rotated around a point.

<em>To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by </em>90^o<em>.</em>

<em />

From the question, we have:

C = (5,-1) --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

(x,y) \to (x - 5, y + 1)

Then the vertices are rotated by 90^o

<u />

<u>The rule of </u>90^o<u> rotation is:</u>

(x,y) \to (-y,x)

So, we have:

(x - 5,y + 1) \to (-y - 1,x - 5)

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

(0,2) \to (-2-1,0-5) \to (-3,-5)

(0,5) \to (-5-1,0-5) \to (-6,-5)

(4,2) \to (-2-1,4-5) \to (-3,-1)

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

Read more about rotations at:

brainly.com/question/1571997

3 0
3 years ago
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