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3 years ago

Sin 7A = cos 3A, then m∠A is what?

Mathematics

1 answer:

lbvjy [14]3 years ago

8 0

Answer:

m∠A = 9°

Step-by-step explanation:

$\sin 7A = \cos 3A \\ \\ \sin 7A = \sin(90 \degree - 3A) \\ \\ 7A = 90 \degree - 3A\\ \\ 7A + 3A= 90 \degree \\ \\ 10A= 90 \degree \\ \\ A = \frac{90 \degree}{10} \\ \\ m \angle A =9 \degree$

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Suppose a baseball is thrown vertically upward from the ground with an initial velocity of Subscript[v, 0] ft/s. Its height abov

Zina [86]

Answer:

90.5

Step-by-step explanation:

Velocity is a time-derivative of displacement or the height, in this case.

$s(t)=-16t^2+v_0t$

$v(t) = -32t+v_0$

At maximum height, the velocity is 0 and the height is 128.

Substitute these values into both equations above,

$0 = -32t+v_0$

$t=\dfrac{v_0}{32}$

From the first equation,

$128 = -16t^2 + v_0t$

Substitute for $t$ .

$128 = -16(\dfrac{v_0}{32})^2 + v_0\times\dfrac{v_0}{32}$

$128 = -v_0^2/64 + v_0^2/32$

$128=\dfrac{v_0^2}{64}$

$v_0^2=8192$

$v_0=64\sqrt{2}=90.5$

5 0

4 years ago

Please help me with 4 more questions ill give brainliest plesase!!

slavikrds [6]

Answer:

(- 1, - 1 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is

(- 3, - 3 ) → ( $\frac{1}{3}$ × - 3, $\frac{1}{3}$ × - 3 ) → (- 1, - 1 )

6 0

3 years ago

02.06A LC) Which number is not in scientific notation? 02.06A

Pavlova-9 [17]

the answer is (A) you cant have 11 it should be 1.1 x 10^22

6 0

4 years ago

Word problems ANSWER ASAP

patriot [66]

Let the speed of current be x km/ hr
Upsetram = ( 6.5 -x) km/ hr
Downstram = ( 6.5 + x) km/ hr
Distance = Speed x Time

5 ( 6.5-x) = 2 ( 6.5+x)
32.5 -5x =13 +2x
7x = 19.5
x =2.7857142 km/ hr
ANSWER: 2.79 km/ hr

7 0

3 years ago

NEED HELP WITH MY MATH

nataly862011 [7]

So for this problem we can recognize that it's a system of linear equations

recall the slope intercept form of a line
$y = mx + b$
given the info we can write two linear equations one for John and one for Lyndon

take a look at johns part of the question. we can see that his bank starts with 100 dollars and every day after he saves 20 dollars. Now we can see that the 100 is the y intercept or b of our equation because it's our initial amount and the rate of change or m of the equation is 25. filling in this info we get this as johns equation:

$y = 25x + 100$
now we can do the same for Lydon, she has 50 dollars to start and saves 30 dollars a day. So using the same steps as we did for John we get the equation
$y = 30x + 50$
now we can do a little trick, to find out when their bank amounts will be equal we set both equations equal to each other (we're just substituting y into the equation) So we get
$25x + 100 = 30x + 50$
now let's clean this up and solve for X with some algebra
$100 = 30x - 25x + 50$
subtract 25x
$100 = 5x + 20$
combine like terms
$80 = 5x$
subtract 20
$x = 16$
divide off 5 to get your x value

now we're almost done we just need to plug X back into any of our two equations we made at the beginning of the problem lets use johns equation and plug in 16 because as we found out x=16

$y = 25(16) + 100$
multiply and add to get
$y = 500$

now that we know
$x = 16 \: \: and \: \: y = 500$
we can finalize our answer answer to the system as a coordinate (x,y) and we'll get

(16,500)

since the questions asks after how many weeks though we would say 16 or the x value because in a time related problem, time is always the x value so the final answer is

$16 \: \: weeks$

3 0

3 years ago