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2 years ago

Identify the converse: If an angle measures 90°, then it is a right angle.

Mathematics

2 answers:

aleksklad [387]2 years ago

8 0

Answer:

Yes

Step-by-step explanation:

____ [38]2 years ago

3 0

Answer:

yes,

Step-by-step explanation:

in geometry and trigonometry, a right angle Is an angle of exactly 90° , corresponding to a quarter turn

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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

3 years ago

A ghost crab can travel about 12 miles every 6 hours on the ocean’s floor. How far can the crab travel in 11 hours? Explain how

iren [92.7K]

Answer:

22 miles in 11 hours!

Step-by-step explanation:

We already know a ghost crab can travel 12 miles in 6 hours.

Now, we just need to find the how many miles per hour the crab walks.

We simply divide 12 miles by 6 hours which gives us 2 miles in 1 hour.

That means, we multiply 11 by 2 which gives us 22 miles!

The ghost crab can travel 22 miles in 11 hours. When you find the rate of change by dividing 12 by 6, it gives you 2 m/h. That enables you to find the amount of miles by multiplying 11 hours by two which gives you 22!

8 0

2 years ago

Pat created a scatter plot and drew a line of best fit, as shown.

Hunter-Best [27]

<h3>Answer: Choice D</h3><h3>y = (-1/5)x + 7</h3>

======================================

Work Shown:

We will only focus on the two points that are on the regression line.

Those two points are (10,5) and (15,4)

Let (x1,y1) = (10,5) and (x2,y2) = (15,4)

Find the slope of the line through (x1,y1) = (10,5) and (x2,y2) = (15,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 5)/(15 - 10)

m = -1/5

m = -0.2

Plug m = -0.2, and (x1,y1) = (10,5) into the point slope formula. Solve for y

y - y1 = m(x - x1)

y - 5 = -0.2(x - 10)

y - 5 = -0.2*x - 0.2*(-10) ... distribute

y - 5 = -0.2*x + 2

y - 5+5 = -0.2*x + 2 + 5 ... add 5 to both sides

y = -0.2*x + 7

y = (-1/5)*x + 7 .... convert -0.2 to -1/5

The equation y = (-1/5)x + 7 is in the form y = mx+b with m = -1/5 = -0.2 as the slope and b = 7 as the y intercept. The y intercept is where the graph crosses the vertical y axis. More specifically, the location of the y intercept in this case is at the point (0,7).

4 0

3 years ago

Find a common factor for 3y^3+2y^2 and 6y^4+4y^3

Anit [1.1K]

Answer:

$3y + 2$

Step-by-step explanation:

We want to find a common factor for

$3 {y}^{3} + 2 {y}^{2}$

and

$6 {y}^{4} + 4 {y}^{3}$

We factor each of them to get;

$3 {y}^{3} + 2 {y}^{2} = {y}^{2} (3y + 2)$

and

$6 {y}^{4} + 4 {y}^{3} = 2 {y}^{3} (3y + 2)$

We can observe now that;

The factor common to both expression is

$3y + 2$

7 0

2 years ago

The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?

IrinaK [193]

Answer:

$h=12ft$

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

Volume = length × width × height , $V=l*w*h$

With this in mind, let's plug in the given variables in the question for this formula.

$V=648ft^3$

$l=6ft$

$w=9ft$

$h=$ ?

We don't know the height, but that's just fine. We will plug in all our values and isolate $h$ .

$V=lwh\\648ft^3=(6ft)(9ft)h$

I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

$648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}$

Notice, that the units on the left side cancel out, leaving only the unit $ft$ left next to the solution. In the same way, the units on the right side cancel out too, leaving only $h$ , height.

$\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h$

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

$V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h$

5 0

3 years ago