Write the sentence as an equation z and 40 more is the same as 344

A ball is thrown with an initial velocity of 70 km per second, at an angle of 35° with the horizontal. Find the vertical and ho

oksian1 [2.3K]

Answer:

i. The horizontal component of the ball = 15.8

ii. The vertical component of the ball = 11.2

Step-by-step explanation:

A thrown ball is an example of a projectile, whose motion can be explained with respect to both horizontal and vertical components.

Horizontal component of the ball = U Cos θ

Vertical component of the ball = U Sin θ

where U is the initial velocity of the ball, and θ is the angle of projection.

Thus for the given question,

U = 70 km/hr (19.44 m/s)

θ = 35°

So that;

i. The horizontal component of the ball = 19.44 Cos 35°

= 19.44 x 0.8192

= 15.785

The horizontal component of the ball = 15.8.

ii. The vertical component of the ball = 19.44 Sin 35°

= 19.44 x 0.5736

= 11.151

The vertical component of the ball = 11.2

5 0

3 years ago

When performing a horizontal analysis on an income statement, the percentage change in any individual item is calculated by div

oksian1 [2.3K]

Answer: C. the base period amount.

Explanation: While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current time period with the base period amount.

i.e. % Change in Individual item = $\frac{Current\ Dollar\ - Base\ Dollar }{Base \ period \ amount}$

Therefore, the correct option in this case is (c)

4 0

3 years ago

Solve by Substitution -8x-10y=12 -7x-10y=3

Harlamova29_29 [7]

Answer:

Point Form:

(−9,6)

Equation Form:

x=−9,y=6

Step-by-step explanation:

3 0

3 years ago

Let f(x) = 2/x and g(x) = 2/x what is (g o f)(x)?

konstantin123 [22]

Answer:

(g o f)(x) = x

Step-by-step explanation:

Given the functions f(x) = 2/x and g(x) = 2/x

(g o f)(x) = g(f(x))

g(f(x)) = g(2/x)

Replace x with 2/x in g(x)

g(f(x)) = 2/(2/x)

g(f(x)) = 2 * x/2

g(f(x)) = 2x/2

g(f(x)) = x

Hence the composite function g o f)(x) is x

7 0

3 years ago

Can anyone help me ?

Delvig [45]

Answer:

see below

Step-by-step explanation:

1.

a)

the relation is

$y=5x+28$

b)

$f(x)=5x+28$

we can use it because for every value of x there is just one value, as the definition of function states

c)

$f(22)=?\\\\f(22)=5(22)+28\\\\f(22)=110+28\\\\f(22)=138$

and

$f(?)=128\\\\5x+28=128\\\\5x=128-28\\\\5x=100\\\\x=20$

2.

the points are

(-2,2) with

$x_1=-2\\\\y_1=2$

(1,-3) with

$x_2=1\\\\y_2=-3$

so the change in y is $y_2-y_1$

$-3-(2)=-5$

and the change in x is $x_2-x_1$

$1-(-2)=3$

so the slope is

$\frac{\:Change\:in\:y}{Change\:in\:x} =\frac{-5}{3} =-\frac{5}{3}$

and the general formula is

$y=ax+b$

so with a=-5/3

we plug in point 1

$2=-\frac{5}{3} (-2)+b\\\\2=\frac{10}{3} +b\\\\6=10+3b\\\\6-10=3b\\\\-4=3b\\\\-\frac{4}{3}=b$ so the formula is

$y=-\frac{5}{3}x-\frac{4}{3}$

expressed as a function is

$f(x)=-\frac{5}{3}x-\frac{4}{3}$

3.

this is bassically all the work of number 2, so we have

(-2,-5)

$x_1=-2\\\\y_1=-5$

(4,31)

$x_2=4\\\\y_2=31$

so the slope will be

the change in y $y_2-y_1$

$31-(-5)=36$

the change in x $x_2-x_1$

$4-(-2)=6$

so the slope will be

$\frac{\Delta\:y}{\Delta\:x}=\frac{36}{6} =6$ (the triangle means change)

so the formula we have

$y=mx+b\\\\y=6x+b$

we plug some point, let's say 1

$-5=6(-2)+b\\\\-5=-12+b\\\\-5+12=b\\\\7=b$

so the formula is

$y=6x+7$

as a function is

$f(x)=6x+7$

so there you have it

Just as a note, for the next one, put more points :)

7 0

3 years ago