Simplify the expression: - 4j - 1

Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)

Contact [7]

cosU:-

$\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25$

As U lies in Q3

cosU=-24/25

sinV

$\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4$

As V lies in Q3

sinV=-3/5

So

sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125
cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125

3 0

2 years ago

Help me pls!!

tresset_1 [31]

(a) Truck carries 90 gallons of diesel fuel to 660 miles.

So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.

30 gallons of diesel fuel to = 220 miles.

Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.

Join (660, 90) and (220, 30), we get the graph of a line.

Note that (0, 0) is also a point on the line.

Equation of the line is .

(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].

Hence, the domain of the function is [0, 660].

(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.

7 0

3 years ago

Find the distance between the points (1, 7) and (10, 1) Please help:)

klio [65]

Answer:

The distance between the points (1, 7) and (10, 1) is 10.82 units

Step-by-step explanation:

Distance between two points

The distance between points A(x,y) B(w,z) can be calculated with the formula:

$d=\sqrt{(z-y)^2+(w-x)^2}$

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

$d=\sqrt{(1-7)^2+(10-1)^2}$

$d=\sqrt{(-6)^2+(9)^2}$

$d=\sqrt{36+81}=\sqrt{117}\approx 10.82$

The distance between the points (1, 7) and (10, 1) is 10.82 units

7 0

3 years ago

Which equation below represents the inverse function B(a) , which takes the trapezoid's area as input and returns as output the

8090 [49]

A(b) = 12(b + 9) / 2
12(b + 9) = 2 A(b)
b + 9 = 2 A(b) / 12 = A(b) / 6
b = A(b)
----- - 9
6

B(a) = a
-- - 9
6

It's C

5 0

3 years ago

Read 2 more answers

a ratio of science books to art books is 2:5. 20 % of the books were unsold and 2240 were sold. total amount of each book?

mash [69]

Science = 512
art = 1,280

7 0

3 years ago

Simplify the expression: - 4j - 1 - 4j + 6