All categories

3 years ago

Anyone know the answer to this?

Mathematics

1 answer:

Mila [183]3 years ago

7 0

First one is 114
second one is 215.2

let me know if this doesn’t work :)

You might be interested in

How many servings can be made from 108 cups of punch?

yarga [219]

38 servings I think

5 0

3 years ago

Write a quadratic function in the standard form who’s graph satisfies the given conditions

Bogdan [553]

Answer:

This is frankly impossible.

Step-by-step explanation:

What you have given me are three x-intercepts. And it is impossible for a quadratic function to have more than two roots. However, if this was an cubic function, we could multiply (x+5)(x-1)(x-4) which results in the equation which simplifies into x^3 -21x + 20. However, this is a cubic function, not a quadratic function, so something must be wrong with this problem all together.

4 0

3 years ago

At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top

nikklg [1K]

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^{2}+(x-49)^{2}=(x+1)^{2}$

Expanding, we get,

$2 x^{2}-98 x+2401=x^{2}+2 x+1$

$2 x^{2}-98 x+2400=x^{2}+2 x$

$2 x^{2}-100 x+2400=x^{2}$

$x^{2}-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=\frac{100\pm\sqrt{10000-9600}}{2}$

$x=\frac{100\pm\sqrt{400}}{2}$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=\frac{100+20}{2} \\x=\frac{120}{2} \\x=60$ and $x=\frac{100-20}{2} \\x=\frac{80}{2} \\x=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

7 0

3 years ago

Amie works part-time at McDonalds. Each week, her work schedule changes. The number of hours she works each week is shown in the

kenny6666 [7]

Answer:

Mean Deviation = 5

Step-by-step explanation:

The numbers are given as;

8, 12, 12, 25, 10, 14, 4, 3, 22, 10

Mean = Sum of numbers / Population = 120 / 10

Mean = 12

mean deviation involves finding the sum of the absolute values of the differences between the individual elements and the mean. Then divding by the population.

Mean Deviation = |(8 - 12) + (12 - 12) + ( 12 - 12) + (25- 12) + (10- 12) + 14- 12) + (4- 12) + (3 - 12) + (22- 12) + (10- 12)

| / 10

Mean Absolute Deviation = 5

7 0

2 years ago

A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volum

Temka [501]

Answer:

The correct option is option D

Step-by-step explanation:

The volume of a pyramid is:

V=1/3(B)(H)

Where

B:Base = s^2

H:Height = 2/3s

Then:

V=1/3(B)(H) = 1/3(s^2)(2/3s) = 2/9s^3

The correct option is option D

8 0

3 years ago