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zheka24 [161]
3 years ago
13

Which equation can be used to find the area of trapezoid PQRT?

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

Area of a trapezoid is found with the formula, A=(a+b)/2 x h

Step-by-step explanation:

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Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=
Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

(y - k) {}^{2}  = 4p(x - h)

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

\frac{ - 6 + 6)}{2}  = 0

\frac{0 + 0}{2}  = 0

So our vertex is (0,0).

So our equation become

{y}^{2}  = 4px

The distance from the focus and directrix is 6.

So p=6.

{y}^{2}  = 24x

So p is 6.

Since p is 6,

\frac{ {y}^{2} }{24}  = x

3 0
2 years ago
Solve for y 48= 8/3y ​
blsea [12.9K]

Answer:

y = 18

Step-by-step explanation:

To find the value of y, you must multiply the fraction 8/3 by its reciprocal 3/8 to both sides. That means you do 48 times 3/8 to get your y value. Once you multiply you get 144/8 which simplifies to 18.

6 0
3 years ago
A spinner is separated into six equal sections, each with a different color. According to theoretical probability, how many time
Misha Larkins [42]

Answer:

you are expected to land on each color ten times in 60 spins

Step-by-step explanation:

probability of landing any color on any given attempt is 1/6 or 0.1667, since all colors are different,  the probability for each is the same.

if you multiply the probability by 60 you will find the amount of time you will expect to land on each color

\frac{1}{6}*60 =10

you are expected to land on each color ten times in 60 spins

4 0
3 years ago
The diameter of a truck tire is 22inches Approximately how fat will the truck have traveled after 5 rotations of these tires
kvasek [131]

Answer:

The truck have travelled 345.5 inches after 5 rotations of the tires

Step-by-step explanation:

Given:

Diameter of the tyre= 22 inches

Number of rotations= 5

To find:

Distance travelled after 5 rotations=?

Solution:

We have given with diameter,

So let radius be r

r= \frac{diameter}{2}

r=\frac{22}{2}

r=11 inches

The distance covered by one rotation is given by circumference

Circumference =2\pi r

Substituting the values, we get

Circumference =2\times\pi\times r

Circumference =2\times\pi\times 11

Circumference =2\times\3.14\times 11

Circumference =6.28\times 11

Circumference = 69.11

Now for 5 rotation,

Distance travelled = 5\times(\text{circumference value})

Distance travelled = 5\times(69.11)

Distance travelled = 5\times(69.11)

The truck will travel 345.5 inches.

6 0
3 years ago
You roll a die. Find the probability that you roll an even number or a number less than 5.​
4vir4ik [10]

Answer:

4/6

Step-by-step explanation:

8 0
3 years ago
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