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3 years ago

Tell me the answer please. Give me a short answer and a step-by-step explanation.

Mathematics

1 answer:

RideAnS [48]3 years ago

4 0

It is the first option because if we go by the formula y=mx+b; m is the slope (which is equivalent between both lines) and then b is the y-intercept and we can see that the blue line intersects at approximately 1 and the red line intersects at approximately-3 so this makes it so that the best option is the first one

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

Which is greater? 9 gallons or 30 quarts

djverab [1.8K]

There are 4 quarts in a gallon. so 30 divided by 4= 7.5 gallons

so there for 9 gallons is the greater than 30 quarts

6 0

3 years ago

Read 2 more answers

Joshua found out that there is a$25 nonrefundable equipment fee in addition to the hourly rates. How does this requirement chang

11Alexandr11 [23.1K]

Answer:

<h2>$25 is a fixed number, cannot be increased, decreased or deleted.</h2>

Step-by-step explanation:

In the situation, the math are modified by the fixed value of $25, which should be a addition to the variable term in the proper math expression.

8 0

3 years ago

A large beach ball has a diameter of 4.14 feet. How much air can fill the ball?

aalyn [17]

The beach ball can hold 37.15 cubic feet of air

<u>Solution:</u>

Given that the beach ball has a diameter of 4.14 feet

We are asked to find how much air can fill the ball. This means that we have to find the volume of the ball

<em><u>Finding volume of ball:</u></em>

Given diameter = 4.14 feet

We know that radius is half of diameter

$radius = \frac{diameter}{2}$

$radius = \frac{4.14}{2} = 2.07$

Since ball is a sphere, Volume of sphere is given as:

$volume of sphere = \frac{4 \pi r^3}{3}$

By substituting the value of radius we get,

$v = \frac{4 \pi \times 2.07^3}{3}\\\\v = \frac{4 \times 3.14 \times 8.869743}{3}\\\\v = 37.15$

Hence the beach ball can hold 37.15 cubic feet of air

6 0

4 years ago

Complete each sentence to make a true statement.

storchak [24]

Answer:

1/6, 1/4.

Step-by-step explanation:

The theoretical probability of rolling a 2 on a single roll of a number cube is 1/6, because there are 6 numbers ( 1 to 6) on a cube.

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is 1/4, because there are 4 different colours on the spinner.

8 0

4 years ago

Read 3 more answers