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monitta
3 years ago
12

PLEASE HELP!!

Mathematics
2 answers:
Natasha2012 [34]3 years ago
8 0

Answer:

b

Step-by-step explanation:

Dmitry [639]3 years ago
6 0

Answer:

c

Step-by-step explanation:

The figure is a triangular prism

It is like  you take an iron sheet with the shape of a trapezoid  to cut the figure

The bottom part of the "sheet match the triangular base of the prism

The top part of the"sheet match the middle point of the triangular top of the prism

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Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. Pleas
Anna71 [15]

Answer:

y = \frac{1}{3}x + 4

Step-by-step explanation:

First, to figure out the equation of a line you must find the slope then plug in the coordinates.

In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.

Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.

For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.

Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.

Then you plug in the slope into the equation of a line along with the coordinate.

A line is y = mx + b

Since you found the slope, m = 1/3

They also give you the coordinate (3,5), meaning when x = 3, the y =5.

You plug everything into the equation to solve for b:

5 = (1/3)(3) + b

b = 5 - (1/3 * 3) = 5 - 1 = 4

Since you have values for m and b, the equation can now be constructed as

y = 1/3x + 4

6 0
3 years ago
A thief steals an ATM card and must randomly guess the correct five-digit pin code from an 8 key keypad repetition of digits is
Rus_ich [418]

Answer:

1/32768

Step-by-step explanation:

We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot . Hence:

8*8*8*8*8 = 8^{5} = 32768

So there are 32768 different combination.

But correct guess on the first try is just only 1 time, so its' probability:

1/32768

7 0
3 years ago
Given sin theta=1/3 and 0 < theta< π/2; find tan 2 theta.
mote1985 [20]

Answer:

tan2θ = 4√2/7

Step-by-step explanation:

Given sin theta=1/3 and 0 < theta< π/+

Required

tan 2 theta

tan2 theta = 2tanθ/1-tan²θ

Get tan θ

sinθ = opp/hyp

adj = √3²-1²²

adj = √9-1

adj = √8

tanθ = opp/adj = 1/2√2

tan2 theta = 2(1/2√2/1-(1/2√2)²

tan2θ = 1/√2/1-1/8

tan2θ = 1/√2/7/8

tan2θ =  8/7√2

Rationalize

tan2θ = 8√2/14

tan2θ = 4√2/7

6 0
2 years ago
3x-4y=16 slope and intercept form
elena55 [62]

Answer:

y=3/4x-4

Step-by-step explanation:

The form is y=mx+b so isolate y

-4y=16-3x

y=-16/4-3x/-4

y=3/4x-4

5 0
2 years ago
Read 2 more answers
Write the expression as the sine, cosine, or tangent of an angle.
Georgia [21]

Answer:

sin 8x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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