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2 years ago

Find the value of arcsin(tan(pi/4))

1 answer:

5 0

Arcsin[tan(π/4)]

1st calculate tan(π/4)
tan(π/4) = tan(45°) = 1
Now plug this value in the original equation:
arcsin(1) = 90° or arcsin(1) = π/2

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Please help me out!!!

Gala2k [10]

Answer:

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = 8

5 0

3 years ago

I need help with this problem if you can help please tell me what you did so I can understand please :)

balu736 [363]

The perimeter is 20 units

Step-by-step explanation:

The end-point of a side of square can be used to calculate length of a side. And the side will be used to calculate the perimeter.

Given

(3,-1) and (7,2)

Let

(3,-1) = (x1,y1)

(7,2) = (x2,y2)

We have to calculate the distance

The formula for distance is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let s be the side of a square

then,

$s=\sqrt{(7-3)^2+(2-(-1))^2}\\s=\sqrt{(4)^2+(2+1)^2}\\=\sqrt{16+(3)^2}\\=\sqrt{16+9}\\=\sqrt{25}\\=5\ units$

The side of square is 5 units. Then,

$Perimeter=P=4s\\=5*4\\=20\ units$

The perimeter is 20 units

Keywords: Perimeter, Square

Learn more about perimeter at:

#LearnwithBrainly

6 0

3 years ago

Alik [6]

Answer:

2cm of Rainfall

Step-by-step explanation:

When the no. of mosquitoes is the highest the slope of graph will be zero

so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.

m(x)= -x²+4x

differentiate

d(x)/d(m(x))= -2x+4

equate to zero

-2x+4=0

2x=4

x=2

answer: 2 cm of rain

6 0

3 years ago

Ms. Martinez drove 20 miles in March. She drove 5 times as many miles in March as she did in January. She drove 4 times as many

SVETLANKA909090 [29]

Answer:

825/3 = 275 which is how many miles she drove in January.

275*4= 1100 which is how many miles she drove in February.

Ms. Turner drove 1100 miles in February.

Step-by-step explanation:

3 0

3 years ago

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height above ocean measured in f

lbvjy [14]

Answer:

480 feet.

Step-by-step explanation:

We are told that the function $h(t)=-16t^2+16t+480$ models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.

To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.

Upon substituting t=0 in our function we will get,

$h(0)=-16(0)^2+16*0+480$

$h(0)=-0+0+480$

$h(0)=480$

Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.

8 0

2 years ago