An area of a triangle is 2/5 square foot, the height is 6/5 ft what is the length of the base of the triangle in feet?

The solution for which of the following requires the use of an absolute value? A.Of the 100 marbles contained in a jar, there ar

const2013 [10]

Answer:

D. Shari is standing 50 feet from a tree that is 100 feet tall. what is the distance between Shari’s foot and the top of the tree

Step-by-step explanation:

When we want to calculate the distance between Shari’s foot and the top of the tree, we apply the Pythagorean Theorem as follows.

$h^2=50^2+100^2\\h^2=12500\\h=\pm \sqrt{12500} \\h=\pm 111.8\\h=|\pm 111.8|\\h=111.8$ feet$

Recall, there is always a plum/minus sign before the square root symbol. This is as a result of the fact that:

$(-a)^2=a^2\\a^2=a^2$

However, since we are looking for distance, we ignore the negative sign by making use of the absolute sign.

The correct option is D

5 0

3 years ago

A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. What transfo

Rus_ich [418]

Answer:

2 right, 4 down, y-axis

Step-by-step explanation:

Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.

__

We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.

If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.

The building at site A was translated 2 units right and 4 units down; then it was reflected across the y-axis .

3 0

2 years ago

Find the explicit formula for the geometric sequence cn given below. Note that c1=6.

kodGreya [7K]

The explicit formula for the geometric sequence $c_{n}$ is

$c_{n}=6(\frac{-1}{3})^{n-1}$

Step-by-step explanation:

The formula of the nth term of a geometric sequence is

$a_{n}=a(r)^{n-1}$ , where:

a is the first term of the sequence
r is the common ratio between the consecutive terms

The geometric sequence of $c_{n}$ is 6 , -2 , $\frac{2}{3}$ , $\frac{-2}{9}$ , $\frac{2}{27}$

∵ $c_{1}$ = 6

∵ $r=\frac{c_{2}}{c_{1}}$

∵ $c_{2}$ = -2

∴ $r=\frac{-2}{6}$

- Divide both term by 2 to simplify it

∴ $r=\frac{-1}{3}$

∵ $c_{n}=c_{1}(r)^{n-1}$

- Substitute the value of $c_{1}$ and r in the rule above

∴ $c_{n}=6(\frac{-1}{3})^{n-1}$

The explicit formula for the geometric sequence $c_{n}$ is

$c_{n}=6(\frac{-1}{3})^{n-1}$

Learn more:

You can learn more about the geometric sequence in brainly.com/question/1522572

#LearnwithBrainly

6 0

3 years ago

What is 2,800 divided by 64

Sonja [21]

Answer:

43.75

Step-by-step explanation:

jejejdjdjdudururjrjdjrir

5 0

3 years ago

Read 2 more answers

each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num

Gnoma [55]

The correct answer is:

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

$0.5 < 0.9^x$

To solve this, we will use logarithms:

$\log_{0.9}(0.5)$

4 0

3 years ago