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3 years ago

1. Timika is a counselor at a summer camp for young children. She wants to take 20 campers on a hike and wants to

Mathematics

1 answer:

OLga [1]3 years ago

3 0

Answer: N = 20C2 = 190

Therefore, Timika has 190 ways of choosing the pairs of children to lead the way

Step-by-step explanation:

Given;

Total number of children = 20

Number of children to lead the way = 2

Since all the children have equal possibilities of being selected to lead the way, and for the order is not important.

Then the number of ways to select two leaders from 20 children will be given by;

N = 20C2 = 20!/2!(20-2)! = 20!/2!18!

N = 20 × 19/2

N = 190

Therefore, Timika has 190 ways of choosing the pairs of children to lead the way

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Round 26 to its greatest place value

Crank

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2 years ago

Read 2 more answers

PLEASEEEEEEE HELPPPPP

coldgirl [10]

If their perimeters are equal, we can add up all the side lengths of each triangle, and set the perimeters equal to each other to find the value of x that satisfies the equation:

x - 2 + x + 3x + 1 = 2x - 5 + x + 4 + 6x - 7

Combine like terms:

5x - 1 = 9x - 8

And finally, solve for x:

7 = 4x

x = $\frac{7}{4}$

Therefore, x is equal to $\frac{7}{4}$ .

<em>Hope this helps! :)</em>

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3 years ago

Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. Th

Dominik [7]

The amount of the paint that Ellis needs to paint all the surfaces of the 12 fenceposts will be 226.08 square feet.

<h3>What is a cylinder?</h3>

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all.

The amount of the paint that Ellis needs to paint all the surfaces of the 12 fenceposts will be

The area of the one fence post will be

Area = πdh

Area = 3.14 x 1 x 6

Area = 18.84 square feet

Then the paint for 12 fence posts will be

Total area = 12 x 18.84

Total area = 226.08 square feet

More about the cylinder link is given below.

brainly.com/question/3692256

#SPJ1

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2 years ago

What is the slope of AC<br> a.-3/2<br> b.-2/3<br> c.2/3<br> d.3/2

d1i1m1o1n [39]

Answer: it is D and if it is wrong then it doesn’t look like this question was finished.

Step-by-step explanation:

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2 years ago

The line y = hx - 2 where h > 0 meets the curve 3y² = 9x² - 6x + 1.

I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since $y =hx -2$ is an equation for a line which intersects with the curve $3y^2 = 9x^2 - 6x +1$ . The point of intersection, let's say $(x_1,y_1)$ , should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

$3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1$

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

$(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11$ = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

$b^2 -4ac =0$

where $a=9-3h^2, b=12h-6$ and $c=-11$ , as a result, the following equations can be deduced,

$(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 ) -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0$

therefore, dividing both sides by 12

$h^2 -12 +36 =0\\(h-6)^2 =0\\h=6$

8 0

2 years ago