A triangular prism and a plane cutting a triangular prism is shown which shape represents the cross section formed by the plane

Answer:

abcd

Step-by-step explanation:

efg

Answer:

θ = [tex]\frac{\pi }{3}[/tex] (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = [tex]\frac{1}{2}[/tex] , so

θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )

Answer:

[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]

Step-by-step explanation:

[tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]

Answer:

5

Step-by-step explanation:

2+2+1=5

The error interval for d is from 391.6 to 391.9 and 392.1 to 392.4.

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, The depth 'd' of a lake is 392 m, rounded to the nearest integer.

Now a number rounded to the nearest integer to 392 is only possible when the number is less than 392.5 which is 392.4 and greater than 391.5.

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A person can order a meal in 60 different ways.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks.

Here we will use the combination of the data.

To answer this we just need to multiply 3 x 4 x 5.

3 x 4 x 5 =  60

Therefore, 60 ways can a person order a meal.

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Answer:

x = 5

Step-by-step explanation:

5 + 4 = 4 + 5

9 = 9

That means this statement is true.

You can download answer here

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The ordered pair representing the preimage and the image is below

preimage      image

k (2, 3)            K' (6, 1)

L (4, 2)            L' (8, -4)

Q (2, 2)           Q' (6, -4)

The position of the image is calculated using the translation rule

(x, y) → (x + 4, y - 2)

preimage  Translation      image

k (2, 3)      (2 + 4, 3 - 2)     K' (6, 1)

L (4, 2)      (4 + 4, -2 - 2)     L' (8, -4)

Q (2, 2)     (2 + 4, -2 - 2)     Q' (6, -4)

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Answer:

5,9,2

Step-by-step explanation:

Answer:

which topic in math

Step-by-step explanation:

what grade are you in? hope it's not money

What subject is it????

Answer:

6

Step-by-step explanation:

Factor the numerator, difference of squares

[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )

= x + 3

limit as x → 3 = 3 + 3 = 6

Your answer is:

C)  53

THANK YOU!!

∝ Sidhdi

Answer:

3......

Step-by-step explanation:

in triangle sum of two sides must be equal to third side......

hope this will help u.....

Answer:

since there are 18 of these isosceles triangles in the polygon, then multiply this by 18 to get area of the polygon with 18 sides is equal to 28.56497087 square units. you can round this to as many desimal digits as required. each of those little triangle with a vertex angle of 20 degrees is an isosceles triangle.

the area is 254.34 sq. ft.

Answer:

254.34 ft²

Step-by-step explanation:

diameter = 18 feet

radius = 18/2 = 9 feet

Area = pi x r²

= pi x 9²

= pi x 81

= 254.34 ft²

Answer:

It is 39.3

Step-by-step explanation:

You find the circumference using the formula 2πr so you get 20π.

and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.

So 20π*225/360 is about 39.3

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

[tex]8 \frac{9}{18} [/tex]

=========================================

The diagram shows:

Recall that the area of a parallelogram is equal to the base times height

area = base*height

We're told that the area is 117 square units, so that means 13x = 117.

Divide both sides by 13 to isolate x

13x = 117

13x/13 = 117/13

x = 9

The height of the parallelogram is 9

Note how:

area = base*height = 13*x = 13*9 = 117

which helps confirm we have the correct height value for x.

Answer:this one is hard

Step-by-step explanation:

nThe Middle East has been an important source of musical instruments for other parts of the world. Bagpipes, guitar, lute, oboe, tambourine, viols, and most zithers have a Middle Eastern origin.

The similarity is that both of them place value on the use of instrumental music. The South Asian and the Middle East is known to have a lot of musical instruments when compared to other parts of the world.

The musical Instruments that can be seen in Hindustani classical music are known to be the sitar, sarod, tambura, and others.

The instruments that is said to be used in Karnatak classical music are known to be the vina, mrdangam, violin and others

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Answer:

this is your look it once

Answer: x=-5

Step-by-step explanation:

You would have to do the inverse to “undo” the equation.

So first you would do -7-3=-10

Then you would do -10/2=-5 to find x

Answer:

If you use the formula it should help for your answer.

Step-by-step explanation:

Answer:

If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.

Step-by-step explanation:

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

Answer:

60

Step-by-step explanation:

40% = 0.4

150(0.4) = 60

Answer:

60

Step-by-step explanation:

150 x 40% = 60

Answer:

60° 60° 60°

60°

Step-by-step explanation:

In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.

As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.

Angle5+angle6=180°, therefore

Angle6=180-120=60°=angle2

Answer:

Natalie saved 16%

Step-by-step explanation:

Natalie saved 16% because 20 divided by 125 is 0.16

When we find percentages our goal is to get something like 0.24 which would mean 24% or 0.14 or 14% in this case it is perfect because we immediately see 0.16 or 16% leaving us with our answer, Natalie got 16% off her new phone.

Answer:

16%

Step-by-step explanation:

so that is the original number subtracted by a percentage, but that percentage is then multiplied by 125

125-(x/100)125=125-20

x=16

Hope that helps :)