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bonufazy [111]
2 years ago
7

what is the area of the rectangle wxyz with vertices w(0,1),x(3,4),y(-1,8),z(-4,5) to the nearest unit

Mathematics
1 answer:
Neko [114]2 years ago
8 0
Area of rectangle = length x width (product of the two adjacent sides)
Length of wx = sqrt((3 - 0)^2 + (4 - 1)^2) = sqrt(3^2 + 3^2) = sqrt(18) = 4.24
Length of xy = sqrt((-1 - 3)^2 + (8 - 4)^2) = sqrt((-4)^2 + 4^2) = sqrt(32) = 5.66

Area = 4.24 x 5.66 = 24 square units.
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Which point(s) are on the graph of the following parametric equations?
Delvig [45]
<span>x(t)=2t
y(t)=t^2
A) (-4,4),
x(t)=2t=-4, t=-2
y(-2)=(-2)²=4 , True

</span>B) (-2,-4)
x(t)=2t=-2, t=-1
y(-1)=(-1)²=1 False. we have y=-4 

C) (0,0)
x(t)=2t=0, t=0
y(0)=(0)²=0   True 

D)(1,2)
x(t)=2t=1, t=1/2
y(1/2)=(1/2)²=1/4 False. we have y=2

E) (6,9)
(-2,-4)
x(t)=2t=6, t=3
y(3)=(3)²=9 True.     

Correct answers is A, C, E.

5 0
2 years ago
Customers at TAB are charged for the amount of salad the take. Sampling suggests that the
maks197457 [2]

Answer:

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{15-5}=\frac{1}{10};\ 5

Step-by-step explanation:

A continuous Uniform distribution is the probability distribution of a random outcome of an experiment that lies with certain specific bounds.

Consider that random variable <em>X</em> follows a continuous Uniform distribution and the value of <em>X</em> lies between <em>a</em> and <em>b</em>.

The probability density function of the random variable <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

Now, in this case it is provided that the amount of salad taken is uniformly distributed between 5 ounces and 15 ounces.

The random variable <em>X</em> is defined as:

<em>Χ</em> = Salad plate filling weight.

The probability density function of the salad plate filling weight is:

f_{X}(x)=\frac{1}{15-5}=\frac{1}{10};\ 5

7 0
3 years ago
Plz, answer this question without putting LINKS OR FILES!!!!! plz and thank you
algol13

Answer:

((\frac{1}{2},\frac{1}{4} )

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The mountain trail at Tanner Park is 8 miles long traveling to the top of the mountain and back. Grayson is making his way back
AnnZ [28]

Answer:

Speed of hike = 1.7 miles per hour

Step-by-step explanation:

Given:

Total distance = 8 miles

Distance already traveled = 4.6 miles

Total time remain to travel  = 2 hour

Find:

Speed of hike

Computation:

Distance remain = Total distance - Distance already traveled

Distance remain = 8 miles - 4.6 miles

Distance remain = 3.4 miles

Speed of hike = Distance remain / Total time remain to travel

Speed of hike = 3.4 / 2

Speed of hike = 1.7 miles per hour

5 0
3 years ago
Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25
swat32

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

3 0
3 years ago
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