All categories

3 years ago

How do I solve this?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

5 0

$\bf 4sin(\theta)+1=3\implies 4sin(\theta)=2\implies sin(\theta)=\cfrac{2}{4}
\\\\\\
sin(\theta)=\cfrac{1}{2}\implies sin^{-1}[sin(\theta)]=sin^{-1}\left( \cfrac{1}{2} \right)\implies \theta=sin^{-1}\left( \cfrac{1}{2} \right)$

You might be interested in

Some body help me with this pleaseeeee

lakkis [162]

Answer:

16 4/5

Step-by-step explanation:

1. Divide 5 3/5 by 2 (2 4/5)

2. Multiply 2 4/5 by 2 and multiply 5 3/5 by 2 (5 3/5) (11 1/5)

3. Add them together (16 4/5)

7 0

3 years ago

Find the product of (x − 5)2. (1 point) Group of answer choices x2 + 10x + 25 x2 − 10x + 25 x2 − 25 x2 + 25

Anuta_ua [19.1K]

Answer:

$x^2 - 10x + 25$

Step-by-step explanation:

Hello!

Expand the square using the Distributive Property.

<h3>Expand</h3>

$(x - 5)^2$
$(x - 5)(x-5)$

Distributive x - 5 to each factor

$x(x - 5) -5 (x - 5)$
$x^2 - 5x - 5x+25$
$x^2 - 10x + 25$

The answer is $x^2 - 10x + 25$ .

We can also use a special binomial product formula.

Formula: $(a - b)^2 = a^2 - 2ab + b^2$

$(x - 5)^2 = x^2 - 2(x)(5) + 5^2$
$(x - 5)^2 = x^2 - 10x + 25$

We get the same answer both ways.

7 0

2 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

A car traveling at 10 m/s starts to slow down. It comes to a complete stop

Aleks [24]

Answer:

correct option 1

a=v/t

a=10/20

a=1/2

a=0.5m/second square

3 0

3 years ago

It takes Bob 3 hours and 30 minutes to drive from Albuquerque to Las cruises which is 360 km away?

nata0808 [166]

Answer:

it actually takes 3 hours and 11 min.

Step-by-step explanation:

in no sure what you are trying to ask

7 0

4 years ago