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3 years ago

Can you please help me !

Mathematics

1 answer:

Anit [1.1K]3 years ago

3 0

Step-by-step explanation:

Question no 1 ans is -10.

Question no 2 ans is 14.

Question no 3 ans is 7.

Question no 4 ans is 14.

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Cscθ - sinθ = _____

galina1969 [7]

So you maybe know that $\csc x = \frac{1}{\sin x}$ . Now let us try to simplify the expression

$\csc x - \sin x = \frac{1}{\sin x} - \sin x = \frac{1}{\sin x} - \frac{\sin^2 x }{\sin x}=\frac{1-\sin^2 x}{\sin x} =$

$= \frac{\cos^2 x}{\sin x} = \cot x \cdot \cos x$

4 0

3 years ago

from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second

anygoal [31]

Answer:

9 seconds

Step-by-step explanation:

The complete question is

The altitude of an object, d, can be modeled using the equation below:

d=-16t^2 +vt+h

from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?

Let

d ----> the altitude of an object in feet

t ---> the time in seconds

v ---> initial velocity in ft per second

h ---> initial height of an object in feet

we have

$d=-16t^2 +vt+h$

we know that

When the arrow reach the water the value of d is equal to zero

we have

$v=90\ ft/sec$

$h=486\ ft$

$d=0\ ft$

substitute the values and solve for t

$0=-16t^2 +(90)t+486$

$-16t^2+90t+486=0$

Multiply by -1 both sides

$16t^2-90t-486=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$a=16\\b=-90\\c=-486$

substitute in the formula

$t=\frac{90(+/-)\sqrt{-90^{2}-4(16)(-486)}}{2(16)}$

$t=\frac{90(+/-)\sqrt{39,204}}{32}$

$t=\frac{90(+/-)198}{32}$

$t_1=\frac{90(+)198}{32}=9\ sec$

$t_2=\frac{90(-)198}{32}=-3.375\ sec$

the solution is t=9 sec

see the attached figure to better understand the problem

4 0

3 years ago

In the picture, quadrilateral A'B'C"D' is an image of quadrilateral ABCD after a rotation. The center of rotation is E. Label th

gtnhenbr [62]

Answer:

Angle D is 45 degrees. The side length is 9 in.

Step-by-step explanation:

In a rotation, side lengths and angles do not change.

6 0

2 years ago

Solve 1/8^-1/3<br> Write in fraction form plz.<br> :)

sladkih [1.3K]

Answer:

$\frac{1} {2^{-1}}$

Step-by-step explanation:

$\huge \frac{1}{ {8}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {( {2}^{3} )}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 3 \times \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 1 } }$

7 0

3 years ago

Find the outlier of the data set<br> 3.1, 5.3, 4.3, 0.7, 5.6, 5.2, 5.8, 5.4

Lelechka [254]

An outglier is a data item which is much bigger/smaller than other data items.

The data item arranged is 0.7, 3.1, 4.3, 5.2, 5.3, 5.4, 5.6, 5.8
From the data 0.7 is much smaller than other data items.

6 0

2 years ago