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3 years ago

Please guys i really need your help and please explain how you got it please

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

The answer would be C because in order to find the area of a figure, you would need to multiply its height by its width. finding the area of a figure is the same as finding how many units are in a figure. because this is a square and all the sides are equal, by counting the total number of units, you can find the area.

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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

3 years ago

You buy a storage case that holds 170 collectible die-cast cars. You have 137 die-cast cars. Write an inequality that describes

Murljashka [212]

Answer:

137 + x <= 170

Step-by-step explanation:

The following inequality will describe this scenario.

137 + x <= 170

the variable x in this scenario represents the total number of cars that you will purchase. This number is added to the number of toy cars that you already own which is 137. As long as this sum is less than or equal to 170 then your storage case will hold them.

4 0

3 years ago

What percent is equivalent to 20? O 5% O 6% O 20% O 25%

photoshop1234 [79]

I think its 5 because 5 times 20 is 100

3 0

3 years ago

Read 2 more answers

A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe

DedPeter [7]

Answer:

The cost of a ribeye steak dinner is $18.60.

The cost of a grilled salmon dinner is $9.03.

Step-by-step explanation:

let r be the cost of a ribeye steak dinner

let g be the cost of a grilled salmon dinner

Represent the two situations using equations:

12r + 39g = 575.53 (equation 1)

25r + 13g = 582.43 (equation 2)

The best method to use for this case is elimination, which is when you get rid of one of the variables by subtracting or adding.

Since the coefficients for "g" are 39 and 13, they can be eliminated if equation 2 was triple itself.

(25r + 13g = 582.43) X 3

= 75r + 39g = 1747.29 (new equation 2)

Subtract "equation 1" from "new equation 2"

. 75r + 39g = 1747.29

- 12r + 39g = 575.53

. 63r + 0g = 1171.76 <=we only deal with "r" because 0g is nothing

. 63r = 1171.76 <=divide both sides by 63 to isolate r

. r = 18.60 <=rounded from 18.599...

The cost of a ribeye steak dinner is $18.60.

Use any one of the equations to solve for "g", the cost of grilled salmon dinners. I will use equation 1.

12r + 39g = 575.53

Substitute r = 18.6

12(18.6) + 39g = 575.53 <=only one variable now

223.2 + 39g = 575.53 <=subtract 223.2 from both sides

39g = 352.33 <=divide both sides by 39 to isolate g

g = 9.03 <=rounded from 9.0341...

The cost of a grilled salmon dinner is $9.03.

4 0

3 years ago

What is the value of x in a 45-45-90 triangle and the hypotenuse is 4?

Temka [501]

9514 1404 393

Answer:

x = 2√2 ≈ 2.83

Step-by-step explanation:

The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...

x = 4/√2 = 4(√2)/2

x = 2√2 ≈ 2.83

You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.

3 0

3 years ago