Pls help 10 easy points!!!

Harvey collects rare marbles. he has 112 marbles in his collection. each tray holds an equal number of marbles. if he uses 7 tra

WARRIOR [948]

He used 7 trays to hold all the marbles with equal number each tray. That means, there will be 16 marbles for each tray. Therefore, the number of marbles he will display on 3 trays would be a total of 48 marbles. Hope this answers the question. Have a nice day.

3 0

3 years ago

What is the area of the triangle

NikAS [45]

First find the length of the longest leg

x^2 = 13^2 - 5^2 ( by the Pythagoras theorem)
x^2 = 144
x = 12

Area of the traingle = 1/2 * base * height
= 1/2 * 5 * 12
= 30 units^2

3 0

3 years ago

Helpp mmeee pleaseeeee !!<br> .

zmey [24]

Answer:

the answer is 6

Step-by-step explanation:

3 0

3 years ago

A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

so

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

so

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago

Given two points A and B, there is only one segment that you can name: AB. With three collinear points A, B, and C, there are th

aksik [14]

Answer: 10

Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.

Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.

The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}

Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

4 0

4 years ago