Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45°. How many parallelograms can you construct given these conditions? What are the lengths of the sides and the measurements of the angles for the parallelogram(s)?

Complete the steps below to solve the problem.

Part A
Using a ruler and protractor, draw a parallelogram that satisfies the given conditions. (If you don’t have these tools available, draw it freehand.) How many different parallelograms can you draw based on the given conditions?

Answer:

x = -1, and y = -2, giving you the answer (-1, -2)

Step-by-step explanation:

In the second equation, we're told that y is equal to 2x.  With that, we can replace "y" in the first one with "2x", giving us:

-4x - 2x = 6

-6x = 6

x = -1

Now that we know the value of x, we can simply plug it into the first equation to find y:

-4x - y = 6

-4(-1) - y = 6

4 - y = 6

-4 + y = -6

y = -6 + 4

y = -2

So x = -1, and y = -2

Result:

Complex number:

The polar form of z is:

Explanation:

z = −2 + 4i

z = 4.4721 · (cos 117o + i · sin 117o)

The polar form of the complex number z = a + bi is:

z = r · (cos θ + i · sin θ)

where, r is the modulus of z and θ is an argument of z. The moduo for a = −2 and b = 4 is:

r = a2 + b2 = · · · = 4.4721 To find argument θ we use one of the following formulas:

b θ=arctan a ifa>0

b o θ=arctan a +180 ifa<0

θ=90o ifa=0andb>0 θ=270o ifa=0andb<0

Inthisexample: a=−2andb=4so:

θ=arctan a +180

θ=arctan 4 +180o −2

b o

θ = arctan (−2) + 180o θ ≈ 117o

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Answer:

Step-by-step explanation:

a+bi = -2+4i

arctan(b/a)=arctan(4/-2)=-1.071

Because this falls in quardant 2, you have to add pi

1.071+pi=2.03

I hope this helps.

Let the first angle be x°.

Then the second angle shall be (x - 22)°.

The two angles are complementary. Hence their sum shall be 90°.

First angle + second angle = 90°

=> x° + x° - 22° = 90°

=> 2x° = 112°

=> x° = 56°

Hence first angle = x° = 56°.

Second angle = (x - 22)° = 34°.

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

BRAINLIEST PLEASE?

Answer:

50, 28, 17.75, 141.5

Step-by-step explanation:

The area of the shaded sector of the circle is 16π units².

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex]

sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex]

sq. units

We are given that;

θ = r radians

r = 4 units

Now,

To convert radians to degrees, we use the formula:

Degrees = Radians × 180°/π

So,

θ = r × 180°/π

Substituting these values in the formula for area of a sector, we get:

Area of a sector = (r × 180°/π / 360°) × π(4)²

Simplifying, we get:

Area of a sector = r² units²

=16π units².

Therefore, by the area of a circle the answer will be 16π units².

Learn more about area of a circle here:

https://brainly.com/question/13004063

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Answer:

"Therefore, the factors in pairs which on multiplication gives the original number 30 are (1, 30), (2, 15), (3, 10) and (5, 6)."

Answer:

(1,30) and (2,15) and (3,10) and (5,6).

Step by step explanation:

Break down "30", into how many pairs of numbers you can. List all factors.

Answer:

y-intercept is (0, -2) and asymptote of y = -2.5

Step-by-step explanation:

If you substitute 0 in for x and simplify, then you will have the y-intercept

y = [tex]\frac{1}{2} (7)^{0} - 2.5 = \frac{1}{2} (1) - 2.5 = \frac{1}{2} - 2.5 = -2[/tex]

The y-intercept is (0, -2)

If the -2.5 were not there, then the graph would have an asymptote at y = 0 or the x-axis

The -2.5 moves the graph down 2.5 units so that y = -2.5 is the asymptote

Therefore, the first answer is correct

p:q = 1/3:2 = 1:6 = 3:18

p:r = 3/4:1/2 = 3:2

p:q:r = 3:18:2

Answer:

(x-1)^2 +1

Step-by-step explanation:

Answer:

(x + 1 - i ) (x + 1 + i)

Step-by-step explanation:

Answer:

As 6^2 + 8^2 = 10^2  

Therefore, triangle is a right angle triangle

Step-by-step explanation:

Poloma

2m30sec + 2m30sec + 2m30sec = 7m30sec

Marissa

2m75sec + 2m75sec + 2m75sec = 9m45sec

9m45sec - 7m30sec

Answer = 2m15sec

Answer:

Step-by-step explanation:

8r(8t/r)(8c/t)=512 chairs

Answer:

The answer is 10.89. I dont know how to solve it but my dad told me this is the answer!

Step-by-step explanation:

Please give me brainliest! UnU

Answer:

21.12

Step-by-step explanation:

To solve this, it's best to use Cartesian planes. So we draw it in the Cartesian planes. From the question, we have {0, 19} and also {1.8, 0}.

If x = -1.8 and x = +1.8, then

1.8 = (19 - 0) / (0 - x)

1.8 = 19 / -x

x = -19 / 1.8

x = -10.56

Since we're having it in 2 quadrants then, we have 10.56 + 10.56 = 21.12 to be our width of the cottage

Answer:

16a - 6b + 6

Step-by-step explanation:

5a + 5b - 5 + 11a - 11b + 11 = 5a + 11a + 5b - 11b - 5 + 11 = 16a - 6b + 6

Answer:

4,5

Step-by-step explanation:

Answer:

4 and 5

Step-by-step explanation:

dismultiplicationcord.gg multiplication

Step-by-step explanation:

6/√3×√3/√3=6√3\√3

because √3×√3=3 hope you are not confused pls follow

Answer:

2√3

Step-by-step explanation:

because yes

Answer:

k = -5

Step-by-step explanation:

Answer:

they sold 14 pizzas all day.

Step-by-step explanation:

4 x 2 = 8

0.5 means half of what they sold in the afternoon

4 ÷ 2 = 2

now add them both together to get the number of pizzas they sold at night.

8 + 2 = 10

now add the afternoon and night together

10 + 4 = 14

answer: 14 pizzas

Answer:

2.7

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

PEMDAS

parenthesis go first 24+3= 27

there are no exponents but their is multiplication 27 times 6 is 162 their is no (D)Division (A)Addition but their is (S) Subtraction 162 minus 2 is 160

Answer: It's either 278 or 178

Step-by-step explanation: I didn't know what equation the question wants you to use so for the first equation it showed I did (10^2+24+10+144) and got 278. For the second equation I did 24+10+144 and got 178. Considering it gave you ax+b as an area equation I just added them (same with the other equation). I don't know whether those are correct of not though.

Answer:

it is axes

Step-by-step explanation:

Answer:

I guess its Axes and coordinate plane

Step-by-step explanation:

Answer:

They do not have to always be 15 feet apart

Step-by-step explanation:

Becuase if they were kicked by different

people, then they might have different forces behind them and one could travel farther.

Answer:D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

All you have to do is multiply 7.7 times 4

Remember the are of a square is the side of a square squared.

This meant that this square's area=5^2=25

Done!

Answer:

2

Step-by-step explanation:

Answer:

I have no idea sorry

Step-by-step explanation: