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4 years ago

Consider the point.

Mathematics

1 answer:

aalyn [17]4 years ago

8 0

Answer:

L = 8.366

Step-by-step explanation:

Given

A(0,0,0)

H(3,5,6)

we can apply the equation

L = √((xH-xA)²+(yH-yA)²+(zH-zA)²)

where L is the length of the diagonal of the box

then

L = √((3-0)²+(5-0)²+(6-0)²)

⇒ L = √(9+25+36) = √70

⇒ L = 8.366

We can see the box in the pic shown.

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A rectangle prism has a height of 4 millimeters and width 5 millimeters. The total surface area is 166 square millimeters, what

Zolol [24]

The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166

7 0

3 years ago

For each function, y varies directly with x. Find each constant of variation. Then find the value of y when x=-0.3

Viktor [21]

Answer:

1- The constant of variation is $\frac{10}{3}$

2- The constant of variation is $\frac{4}{3}$

Explanation:

When two variables are in direct variation, this means that when one of them increases, the other increases and vice versa

A direct variation relation is represented as follows:

y = kx

where k is the constant of variation

Now, to get the constant of variation, all we have to do is substitute with the given x and y variables and solve for k

For the given problems:

1- $y = \frac{2}{3}\ when\ x=0.2$ 

Therefore:

$y = kx\\\\\frac{2}{3} = 0.2k\\\\ k = \frac{10}{3}$

2- $y = 4\ when\ x=3$ 

Therefore:

$y = kx\\ 4 = 3k\\ k = \frac{4}{3}$

Hope this helps :)

5 0

3 years ago

Help me QUICK, plz! 15 points!

Anna007 [38]

Answer:

t=8

Step-by-step explanation:

Subtract 12t from both sides

(12t-12t) + 16 = (13t-12t) + 24

16 = 1t (or just t) + 24

Then subtract 16 from both sides, and bring "t" over the equals sign making it a negative integer.

-t = 8

t = 8

4 0

4 years ago

If (x+2) is a factor of x^3-6x^2+kx+10, k=

Alja [10]

If a binomial $(x-a)$ is a factor of a polynomial, then $a$ is a root of this polynomial.

$(x+2)=(x-(-2)) \Rightarrow a=-2\\\\
(-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\
-8-24-2k+10=0\\
-2k=22\\\
\boxed{k=-11}
$

3 0

3 years ago

Keith has 39 books in his library. He bought several books at a yard sale over the weekend. He now has 84 books in his library.

Jobisdone [24]

Answer:

total books in library = 39

books bought from yard sale = ??

Total book in library now = 84

Now,

books bought from yard sale= 39-84

= 45

7 0

4 years ago