Ask question

Ask question

All categories

3 years ago

15

What is

ormula"> given that $x \geq 6$

1 answer:

Fofino [41]3 years ago

7 0

9514 1404 393

Answer:

x - 6

Step-by-step explanation:

For values of x greater than or equal to 6, the difference x-6 is non-negative, so the absolute value function does nothing. The value is ...

x -6

You might be interested in

I kinda need help<br> With this ‍

vredina [299]

Distance formula = √(x2-x1)^2 + (y2-y1)^2
so
√(2-(-4))^2 + (0-1)^2
= √(6)^2 + (-1)^2
= √36 + 1
= √37

3 0

3 years ago

Two jugs are similar. The smaller jug has radius 4cm and the bigger jug has radius

ivolga24 [154]

Given:

Two jugs are similar. The smaller jug has radius 4 cm and the bigger jug has radius 6 cm and surface area 125 cm².

To find:

The area of the smaller jug.

Solution:

If two figures are similar, then the ratio of their areas is proportional to the square of the corresponding sides of the figures.

Two jugs are similar. So,

$\dfrac{\text{Area of smaller jug}}{\text{Area of bigger jug}}=\dfrac{(\text{Radius of smaller jug})^2}{(\text{Radius of bigger jug})^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{(4)^2}{(6)^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{16}{36}$

$\text{Area of smaller jug}=\dfrac{4}{9}\times 125$

$\text{Area of smaller jug}\approx 55.56$

Therefore, the area of the smaller jug is about 55.56 cm².

6 0

3 years ago

Read 2 more answers

You are building a shelf that fits in a corner. In the figure, the entire shelf is △LMN. Each unit in the coordinate plane repre

mina [271]

Answer: 50in'2

Step-by-step explanation:

First you would do: |25-(5)| since they share the same x value. Which would be 20

Next: |5-10|= 5, since N and M share the same y value

Lastly you would plug in those values to find the area of a triangle: 5*20*1/2= 50 in

7 0

3 years ago

Simplify: 3/8 x 8/9<br>A. 1/3<br>B. 2/6<br>C. 24/72<br>D. 27/64

ioda

Answer:

1/3 (A)

Step-by-step explanation:

We take $\frac{3}{8} *\frac{8}{9}$ and we combine them together. It leaves us with:

$\frac{(3)(8)}{(8)(9)}$ Now, we must solve for what we have by multiplying both the top and bottom of our fraction and that leaves us with:

$\frac{24}{72}$

And now, we simplify that into our answer: $\frac{1}{3}$

7 0

3 years ago

Read 2 more answers

Answer fast please will give brainliest

DIA [1.3K]

Answer:

Approximately 14.65 kilometers.

Step-by-step explanation:

Please refer to the drawing.

So, to find our distance, we essentially just need to find the value of x.

To do so, we can use the Law of Sines.

Note that ∠a corresponds to the 12km, and ∠c corresponds to x.

So, let's find each of the angles first.

Note that from our ending point, the bearing to the lighthouse is 125°.

This means, if you refer to the drawing:

$a+b=90$

This is because they are complementary.

We also know that:

$90+b=125$

From our bearing.

So, let's solve for b. Subtract 90 from both sides:

$b=35$

Substitute this back into our first equation to acquire:

$a+35=90$

Subtract 35 from both sides:

$a=55\textdegree$

Now, we can use the fact that the interior angles of a triangle sum to 180 to find c. We already know that one angle is 36 and the other is 55. So:

$36+55+c=180$

Add:

$91+c=180$

Subtract 91 from both sides:

$c=89\textdegree$

Now, we can use the Law of Sines, which states:

$\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}$

It doesn't really matter which ratio we use as long as we align the sides and angles correctly.

Recall that ∠a correspond to 12km while ∠c corresponds to x.

So, let's substitute 12 for a, 55 for A, x for b, and 89 for B. This yields:

$\frac{\sin(55)}{12}=\frac{\sin(89)}{x}$

So, to find the distance traveled, we just have to find x.

Cross-multiply:

$12\sin(89)=x\sin(55)$

Divide both sides by sin(55). This yields:

$x=\frac{12\sin(89)}{\sin(55)}$

Divide. Use a calculator. Make sure you're in Degrees mode. This gives us:

$x\approx14.65$

So, the ship approximately traveled 14.65 kilometers from Point A to Point B.

And we're done!

7 0

3 years ago