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2 years ago

PLEASE HELP ! Will reward brainliest

Mathematics

1 answer:

klasskru [66]2 years ago

7 0

<span>To find the union of the two sets simply write all of the elements together into one big set. Remove any duplicate entries (if there are any).</span>

$A \cup B = \{x,y,z,a,b,c\}$

--------------------------------------------------------------

The intersection of the two sets A and B is the set of elements that are in BOTH sets. In this case, there is no overlap so we have

$A \cap B = \{ \} = \varnothing$
which is a way of saying "the empty set"

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To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach positio

Sergio [31]

Answer:

Step-by-step explanation:

Let's draw the given information first for better understanding . Check the image attached.

We can use cosine rule to find the angles .

for angle A ,

$Cos A =\frac{b^2+c^2-a^2}{2bc}$

$Cos A =\frac{20^2+12^2-15^2}{2*20*12}$

$Cos A =\frac{319}{480}$

m∠A = 48.35 degrees

Similarly for angle B

$Cos B =\frac{a^2+c^2-b^2}{2bc}$

$Cos B =\frac{15^2+12^2-20^2}{2*15*12}$

$Cos B =\frac{-31}{360}$

m∠B = 94.94 degrees

Now use A+B+C=180 degrees

48.35+94.94+C=180

C=180-48.35-94.94

m∠C = 36.71 degrees

3 0

3 years ago

Read 2 more answers

I am struggling with these questions. Please help

Sauron [17]

Answer: Just apply the formula

Step-by-step explanation:

The equation for volume of a cone is:

$V_{(cone)} =\frac{1}{3} \pi r^{2} h$

The radius is the line that creates a 90 degree angle with the height

The height goes from the base to the tip of the cone.

I recommend leaving Pi as it is and plugging the rest of the numbers first.

Then at the end multiply by 3.14 and round at the end.

This way, it is easier to avoid calculation errors.

5 0

3 years ago

Is the open sentence 8 - 4x = 4x true or false when x=0

kvasek [131]

It is not true because if you add in 0 the equation would be 8-4(0)=4(0)

4x0 = 0

so it would be 8-0=0 which doesn't add up.

7 0

2 years ago

Read 2 more answers

This graph represents the average number of animals that are seen in a veterinarian's office during the day.

defon

Answer:

A. 10 animals seen in 1 hour

C. 60 animals seen in 6 hours

i dont know B sorry

Step-by-step explanation:

6 0

2 years ago

Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

3 years ago