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3 years ago

46.

Mathematics

2 answers:

Marizza181 [45]3 years ago

7 0

Answer:

46. 10+10+6+6=32

47. 10×6=60

Step-by-step explanation:

46. the formula the perimeter is length plus width, is this case 10+6. but that would only be 2 sides so you have to times that by 2... (10+6)×2

47. area equals length times width so in this case 10×6=60

Paul [167]3 years ago

5 0

46. we do 10+6+10+6= 32 feet

47. 10 x 6= 60 feet squared (^2)

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Eight people are entered in a race. If there are no ties, in how many ways can the first three places come out? a.336 b.368 c.67

Luden [163]

The first thing to do is to calculate how many ways you can choose 3 people from a set of eight. In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56

Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA

So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)

8 0

3 years ago

Heres an ez question for yall

SSSSS [86.1K]

Answer: Choice B

$\left\{ \ 3, 5, \sqrt{34} \ \right\}$

=========================================================

Explanation:

We'll be using the converse of the pythagorean theorem.

If we had a triangle with sides a,b,c and $a^2+b^2 = c^2$ was true, then we have a right triangle. Note: c is always the longest side

For the first answer choice we have: a = 5, b = 8, c = 12

Then,

$a^2+b^2 = c^2\\\\5^2+8^2 = 12^2\\\\25+64 = 144\\\\89 = 144\\\\$

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.

Choice B on the other hand works because

$a^2+b^2 = c^2\\\\3^2+5^2 = (\sqrt{34})^2\\\\9+25 = 34\\\\34 = 34\\\\$

We have a true statement at the end, which confirms choice B is a right triangle.

7 0

2 years ago

Solve solve the following equations 2x (x minus 5) close + 3(x-2)=8+7(x-4)

stiv31 [10]

Step-by-step explanation:

2x(x-5)+3(x-2)=8+7(x-4)

2x²-10x+3x-6=8+7x-28(Group like terms)

2x²-10x+3x-7x=8-28+6

2x²-7x-7x=-20+6

2x²-14x=-14(Divide both sides by -14)

2x²-x=1

2x=1

x=½

Hope you get it please someone should verify....

7 0

3 years ago

Find the value of z in the isosceles triangle shown below. V20 V20 8

Shkiper50 [21]

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

b = 8/2 = 4

c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

4 0

3 years ago

The mean of a set of eight numbers is 8 and the mean of a different set of twelve numbers is m. Given that the mean if the combi

Basile [38]

Mean=total/the number of values =>total=mean*the number of values
the total of the first set of 8 numbers is : total=8*8=64
the total of the second set of 12 numbers is: 12m
the total of the 20 numbers is: 64+12m
the mean of the 20 number is: (64+12m)/20=5
solve for m: 64+12m=100
12m=36
m=3

8 0

3 years ago