A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7

Answer:

a

Step-by-step explanation:

Bc i just did on edge

The pair of equations below is a result of constructing the altitude, h, in Triangle ABC is A; sin C = h/a and sin A = h/c.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We know:

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

So from the attached figure;

sin C = h/a

sin A = h/c

These expressions have an h term in common. We can combine them if we can find forms of the expressions in terms;

h = a (sin C)

h = c (sin A)

Thus, option A is correct pair.

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Answer:

2

Step-by-step explanation:

quotient of two numbers means that you divide those two numbers.

Answer:

2. 29 divided by r

Step-by-step explanation:

this is division, so the key term divided by must come in.

Answer:

8 ft

Step-by-step explanation:

Set up a proportion: 10/16=5/x

Solve for x: 80=10x

x=8

Answer:

y=1/2x²

Step-by-step explanation:

y=2x-²

y=1/2x²

The equation can be simplified to find the inverse of y = 2x² is y=1/2x², the correct option is B.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

Equation y = 2x²

Now,

To find the inverse of a function, you need to swap the x and y variables and solve for y. So, the equation that can be simplified to find the inverse of y = 2x² is x = 2y². You can simplify it by dividing both sides by 2 and taking the square root of both sides. The inverse function is y = ±√(x/2).

Therefore, by the equation the answer will be y=1/2x²

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Every non-zero complex number has three cube roots. In general, any non-integer exponent, like  

1

3

here, gives rise to multiple values. The way we find them is by multiplying  

z

by 1 before exponentiating. We write  

1

using Euler's Identity to the  

2

k

power for integer  

k

. That's

Answer:

angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees

Answer:

Step-by-step explanation:

Answer:

Can u take a better picture?

Answer:

x = 37.5

hope that helps

Answer:

$324

Step-by-step explanation:

Cost per books = $20

Book cost = $20 * (9 + 6) = 20 * 15 = $300

Cost per magazine = $3

Number of magazines = 8

Magazone cost = 8 * $3 = 24

Total cost = $300 + $24

= $324

Answer:

35

Step-by-step explanation:

Answer:

ΔWUV⁓ΔSRT

Step-by-step explanation:

∠W⁓∠S

∠U⁓∠R

Answer:

Step-by-step explanation:

51mi(3in/17mi)=9in

Answer:

2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is

Answer:

208 cm²

Step-by-step explanation:

14 cm × 16 cm = 224 cm²

14 cm - 6 cm = 8 cm

8 cm × 2 cm = 16 cm²

224 cm² - 16 cm² = 208 cm²

Answer:

n=5

Step-by-step explanation:

50 divided by 10 = 5

Answer:

n=5

Step-by-step explanation:

To figure out n we must divide 50 and 10.

50 ÷ 10 = 5

So n=5

Answer:

the angle is = 50

Step-by-step explanation:

8x+2+70+60=180° (interior angles of a triangle add up to 180°)

8x+132=180

8x=180-132

8x=48

divide with the coefficient of x both sides

x=6

substitute

(8(6)+2)+70+60=180

50+70+60=180

180=180

Answer: -2

Step-by-step explanation: 6-6=0, and 0-2= -2, so that is how i got my answer

Answer:

-2

Step-by-step explanation:

6 - 8 = -2

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supplementary angles = 180°

A : B

17 : 1

170 : 10

the answer is 26.88 i wish that helped :)

Answer:

[tex]\Huge\boxed{B.18.610}[/tex]

Step-by-step explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

[tex]tan= \frac{opposite}{adjacent}[/tex]

the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35

so...

[tex]tan28=\frac{y}{35}[/tex]

now we solve for  y using basic algebra

we want to isolate the variable (y) using inverse operations

to get rid of the 35 we multiply each side by 35

[tex]\frac{y}{35} =y\\tan28*35=35tan28[/tex]

now we let the calculator do the rest of the work

[tex]35tan(28)=18.60983011[/tex]

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B

Answer:

r = -0.13475

Step-by-step explanation:

Here, we want to select a value for a weak negative correlation

When a correlation is week, its value is usually less than -0.5

In this case, we have our correct answer as r = -0.13475

Answer: she needs to go 12 times

Step-by-step explanation:

Answer:

*12=3x+4m-3x2.......THE ANSWER IS 10

Step-by-step explanation:

divide 12 by 3

add that answer by 4

subract that by 3

then multiply it by 2

and it gives you... (10)

Your Welcome

Answer:

Step-by-step explanation:

Answer:

450 x (1 + 0.5) ^ X = Phone subscribers

Step-by-step explanation:

Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:

450 x (1 + 0.5) ^ X = Phone subscribers

So, for example, in 3 months, the number of subscribers would be the following:

450 x (1 + 0.5) ^ 3 = 1,518.75

Thus, in 3 months, the company would have 1,518 subscribers.

Step-by-step explanation:

The height of the swipe card is given by :

[tex]h(t)=-3t^2+15t+18[/tex] .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

Answer:

The correct answer is the 162xsquare