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Vinil7 [7]
3 years ago
10

The total area of this shape is 44 square inches. The area of the triangle is 20 square inches. Write and solve an equation to f

ind the area of the rectangle
Mathematics
2 answers:
Free_Kalibri [48]3 years ago
4 0
44-20=20 square inches
leonid [27]3 years ago
3 0

Answer:

The equation is:  x + 20 = 44

The area of the rectangle is 24 inches.

Step-by-step explanation:

The total area of the shape is 44 square inches.

The area of the triangle is 20 square inches.

We need to find the area of the rectangle.

Total area = Area of the triangle + Area of the rectangle.

Let "x" be the area of the rectangle.

So the equation is

44 = 20 + x

This can be written as x + 20 = 44

Now let's find the value fo x.

Subtract 20 from both sides, we get

x + 20 - 20 = 44 - 20

x = 24 square inches.

Therefore, the area of the rectangle is 24 inches.

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Vector v is shown in the graph.
Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

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

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0
2 years ago
Helppppp please i need to know the answer right now! Thanks!
Ivenika [448]

Answer:

f(7) - f(-7)

= (4 - 7^2) - ((-7)^3 - 2*(-7))

= -45 - (-329)

= 284

6 0
2 years ago
What is 260% of 6 <br> is it 3.6<br> is it 9.6<br> is it 15.6<br> or is it 21.6
Arte-miy333 [17]
The answer is (C) 15.6. 260% of 6 is 6 * 2.6.
7 0
3 years ago
Read 2 more answers
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area
aniked [119]

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

3 0
2 years ago
I need help with this​
butalik [34]

i dont know my friend so try asking someone better than cause i have no brain for this type of math

8 0
2 years ago
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