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3 years ago

What is the measure of ZP 609 x 80° F 40° H 100 80 90° 40°

Mathematics

1 answer:

kozerog [31]3 years ago

6 0

Answer:

100 degrees

Step-by-step explanation:

angle x is next to 80. the sum of angles that form a straight line = 180 degrees. So, 180-80 =100 degrees

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The formula can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an o

Mama L [17]

The formula for a falling object is
v = u +gt
where
u = initial velocity (=0 for a falling object)
g = acceleration due to gravity, 32.2 ft/s²
t = time, s

In terms of distance fallen,
v² = u² + 2gh
where h = distance fallen, ft.

Because h = 23 ft and u = 0, therefore
v² = 2*32.2*23 = 1481.2
v = 38.486 ft/s

Answer: 28.49 ft/s (nearest hundredth)

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3 years ago

Which is the equation of a parabola with vertex (0, 0), that opens to the right and has a focal width of 8? a.y^2=8x b.y^2=-8x c

Marianna [84]

Answer:

a. y^2 = 8x.

Step-by-step explanation:

The general equation for this type of parabola is y^2 = 4ax where a is the distance between the vertex and the focus. The focal width = 4a.

So the answer to this is y^2 = 8x.

7 0

3 years ago

NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho

ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

b = 1
a = -1
c = -2
d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

$\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix product will be:

$\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]$

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

d = -1

Then:

c = 2d = 2*(-1) = -2

c = -2

So the values are:

b = 1
a = -1
c = -2
d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0

3 years ago

Which would be the best method to use to solve the following equation. Explain your reasoning.

s2008m [1.1K]

Answer:

x = 3 and x = -2

Step-by-step explanation:

The given equation is :

$x^2-x-6=0$

We need to solve the given equation.

We can solve it using Completing the Square method.

We take two numbers such that their product is -6 and sum is -1.

So,

$x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2$

so, the values of x are 3 and -2.

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3 years ago

The NFL office discovered data covering attendance at professional football games in the late 1940s and early 1950s. The game wi

alekssr [168]

Answer:

option B

Step-by-step explanation:

Regression models are not usually made use of if the need is to predict population, which has to do with number present as well as the stocks of large companies and so on, reason being that their variable levels or confidence interval are usually out of range of those used for a regression

8 0

3 years ago