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3 years ago

MEDALS REWARDED!. . Find the exact value of (cos-1) square root of two divided by two.

1 answer:

4 0

The exact value of the given equation is 45 degrees or pi/4. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

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A car drives 40 miles on local roads at 20 mph, and 180 miles on the highway at 60 mph, w Your dinner bill is $25 before tax. Th

Anastasy [175]

Answer and Step-by-step explanation:

$Let's~solve~your~problem!$

Formula :

$speed=\frac{distance}{time}$

Solving for time:

$Time~taken~to~cover~40~miles~on~local~ roads~= \frac{40}{20} = 2~hours$

$Time~taken~to~cover~180~miles~on~the~highway~=$ $\frac{180}{60}=3~hours$

$Total~Time~=~5~hours$

Solving for distance:

 $Total~Distance=40 + 180 = 220$ 

Average speed:

 $\frac{Total~distance}{Total~time} = \frac{225}{5} = 44~miles~per~hour$ 

6 0

3 years ago

true or false: we want the leading coeffient of a polynomial to be a positive number whenever possible

EastWind [94]

That is false... coefficients in polynomials can lead in either positive or negative

4 0

3 years ago

Read 2 more answers

Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

3 years ago

X2+y2=r2 Solve for y

Kaylis [27]

Answer: $y=\sqrt{r^{2} -x^{2} }$

Step-by-step explanation:

x^2+y^2=r^2 --> subtract x^2 to other side

y^2=r^2-x^2 --> square root both sides

y=sqrt(r^2-x^2)

3 0

2 years ago

–2z − 7 need this done now

Debora [2.8K]

Answer:

the value of the z is -3.5

Step-by-step explanation:

According to the question, the following information is given

-2z - 7

Based on the above information

We assume that we have to determine the z value

-2z - 7 = 0

-2z = 7

z = 7 ÷ -2

= -3.5

Hence, the value of the z is -3.5

The same is to be considered and relevant too

5 0

3 years ago