The volume of a cuboid is 270cm³. the length is 6cm and the width is 3cm. work out the height

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the groun

Dovator [93]

The pole, the guy wire, and the distance along the ground
all form a right triangle. Please sketch a picture of the set-up
on your scratch paper.

In a right triangle,

   (the side adjacent to one of the acute angles)
divided by
   ( the hypotenuse)

is the cosine of the angle.

In this problem ...

-- the acute angle in the triangle is 67°

-- the distance along the ground is the side adjacent to the angle ... 137-ft.

-- the wire is the hypotenuse of the triangle.

-- so,       cosine(67°) = (137-ft) / (length of the wire)

Multiply each side by
(length of the wire) : cosine(67°) x (length of the wire) = (137-ft)

Divide each side
by cosine(67°)                   length of the wire = (137-ft) / cosine(67°)

Look up cosine(67°)
on your calculator: length of the wire = (137-ft) / (0.390731)

   = 350.624 .

rounded to two decimal places: 350.62 ft

3 0

2 years ago

if the price of gas went from $3.499 a gallon to $3.079 a gallon what was the percent change in the price of the gas. was there

Serhud [2]

Answer:

The answer is decrease since the number went down.

The percent change should be -12 percent

4 0

2 years ago

Read 2 more answers

A roulette wheel has 18 red slots, 18 black slots and 2 green slots. Suppose I bet on red and you bet on black, both on the same

AURORKA [14]

Answer:

Probability that we both lose = $\frac{1}{19}$

Step-by-step explanation:

If I bet on red and you bet on black, we both lose the bet means roulette wheel stops at green slot.

So, probability that we both lose = Probability of getting green slot on the wheel

Probability of getting the green slot = $\frac{\text{Number of green slots}}{\text{Total number of slot on the wheel}}$

= $\frac{2}{18+18+2}$

= $\frac{2}{38}$

= $\frac{1}{19}$

Therefore, probability that we both lose = $\frac{1}{19}$

5 0

2 years ago

There are 8 people on the ballot for regional judges. voters can vote for any 4. voters can choose to vote for 0¸ 1¸ 2¸ 3¸ or 4

Free_Kalibri [48]

8 people are running for a judge spot. Let's consider them on a case by case basis.

Case 1: 0 judges
For anything with choosing 0 objects from a total of n objects, there is only going to be one way. Thus, there is only one way to choose no judges:
$^{8}C_0 = 1$

Case 2: 1 judge
Since we want to choose just one judge, we're going to use the notation C(n, r), which means taking r objects at a time from a sample of n distinct objects.

$C(8, 1) = ^{8}C_1 = \frac{8!}{1!(8 - 1)!} = 8$

Case 3: 2 judges
Using this same logic, we can find how many ways to choose 2, 3, and 4 judges.

$\text{2 judges: } ^{8}C_2 = 28$
$\text{3 judges: } ^{8}C_3 = 56$
$\text{4 judges: } ^{8}C_4 = 70$

Adding all of these up, we get:
$\text{Total ways: } 1 + 8 + 28 + 56 + 70 = 163$

6 0

2 years ago

Perform the operation.<br> (6x2 – 5x) – (10x² + 8x – 8)<br> HELP ASAP PLS

Nutka1998 [239]

-4x^2-13x+8. It says negative four x squared just in case you didn’t know. I hope it’s right

7 0

2 years ago