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2 years ago

Write the expression as the sin or cosine of an angle. sin pi/3 cos pi/7 - sin pi/7 cos pi/3

1 answer:

5 0

sin(4π21). Explanation: Notice that this fits the form of the sine subtraction formula: sin(A−B)=sin(A)cos(B)−cos(A)sin(B).

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The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surf

deff fn [24]

Answer:

170 ft^2

Step-by-step explanation:

The surface area of a square prism is 2 times the base area + 4 times the area of a lateral face.

S=2(25)+4(30)

S=50+120

S=170

3 0

2 years ago

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

The line l passes through the point P = (1,-1,1) and has direction vector d = [2,3,1]. Determine whether l and the plane 4x-y+5z

suter [353]

Hello :
the normal vector of the plane is : d' = [4,-1,5]...(vector perpendicular to the plane)
d ⊥ d' because : (4)(2)+(-1)(3)+(5)(1)=0
the line is perpendicular to the plane .

3 0

3 years ago

8(2x-3)-6x if 3=x and simplify

Rom4ik [11]

Simplify the expression:

8(2x - 3) - 6x = 8×2x - 8×3 - 6x = 16x - 24 - 6x = 10x - 24

for x=3

put value of "x" to the expression:

10×3 - 24 = 30 - 24 = 6

5 0

3 years ago

Which statements are true about car color? Choose four correct answers. White is the most popular in every region. Red is the mo

Lisa [10]

Answer:

from my understanding the correct answer should be

Red is the most popular in the East than in the other regions

About 17% of the people in the Midwest have a gray car

White is the most popular in every region

Silver and black are equally popular in the East.

*** i hope im right sorry if this didnt help:/***

3 0

3 years ago

Read 2 more answers