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4vir4ik [10]
2 years ago
9

A parallelogram is made up of a rectangle with a base of 12 centimeters (cm) and a height of 5 cm, and two triangles, each with

a base of 2 cm and height of 5 cm. Jeremy calculates the area of the parallelogram by multiplying the base and height of the rectangle to get 60 cm2.
Is Jeremy's answer correct? Why or why not?

Select the option that correctly answers both questions.

No, he forgot to multiply by 12 when calculating the area of the rectangle.

Yes, he correctly calculated the area of the parallelogram as b⋅h.

No, he forgot to add the area of the triangles to the area of the rectangle.

Yes, he correctly calculated the area of the parallelogram as 12bh.
Mathematics
1 answer:
valkas [14]2 years ago
3 0
No, he forgot to add the area of the triangles to the area of the rectangle.

It is said that Jeremy thought he solved for the area of the whole parallelogram correctly by multiplying the base and height of the rectangle, which is just a part of the whole parallelogram.

Jeremy’s answer is incomplete, he only calculated the area of the triangle as the answer.

This is because one way of finding an area of a parallelogram is dividing the shape into a rectangle with a triangle on each side.

The real area of the parallelogram is 70 cm^2
(with areas of each triangles added)

With that being said, the formula of a parallelogram that is said is:
A = bh
Which means a height perpendicular to the base of the whole paralleogram.
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I need help on this question
DiKsa [7]

Answer:

The last one: deciliters to hectoliters.

Step-by-step explanation:

8 0
3 years ago
Two systems of equations are shown below: System A System B 3x + 2y = 3 −x − 14y = 1 −2x − 8y = −1 −2x − 8y = −1 Which of the fo
Sauron [17]

The two linear equations represented in system A as :

3 x + 2 y =3   -------(1)

- 2 x - 8 y = -1  ------(2)

(1) × 2 + (2) × 3 gives

⇒ 6 x + 4 y - 6 x - 24 y = 6 -3

⇒ - 20 y = 3

⇒ y = \frac{-3}{20}

Putting the value of y in equation (1), we get

3 x  - \frac{6}{20}=3\\\\ 3 x= \frac{66}{20} \\\\ x=\frac{11}{10}

Two linear equation represented in system B is:

3.   -x - 14 y =1

4.   - 2 x - 8 y = -1

-2 ×Equation (3) + Equation (4)=

2 x +28 y- 2 x - 8 y= -2 -1

⇒ 20 y = -3

⇒y =\frac{-3}{20}

Putting the value of y in equation (3),we get

-x + \frac{42}{20}=1 \\\\ x=\frac{22}{20}=\frac{11}{10}

As Two system , that is system (A) and System (B) has same solution.

By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

6 0
3 years ago
Read 2 more answers
Circle T is shown. Line segment Q S is a diameters. Point R is opposite of point T. Lines are drawn from points Q and S to point
Juliette [100K]

The value of angle x of the given cyclic segment is; 49.5°

<h3>How to find the angle of an arc?</h3>

We are given the measure of the angle of  arc QS as (4x – 18)°

Now, to find the measure of arc QS, this angle is to be equal to 180° and as such;

Thus;

(4x – 18)° = 180°

4x - 18 = 180

4x = 180 + 18

4x = 198

x = 198/4

x = 49.5°

The angle subtended by the arc at the center of a circle with center C is the angle of the arc. It is denoted by. m AB, where A and B are the endpoints of the arc. With the help of the arc length formula, we can find the measure of arc angle.

The formula to measure the length of the arc is;

Arc Length Formula (if angle θ is in degrees); s = 2πr (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r.

Thus, the value of x of the given cyclic segment is; 49.5°

Read more about arc angle at; brainly.com/question/2005046

#SPJ1

8 0
1 year ago
What is the value of n?
andrey2020 [161]

Answer:

N = 17

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, hence

4n - 2 = 2n + 32 ( subtract 2n from both sides )

2n - 2 = 32 ( add 2 to both sides )

2n = 34 ( divide both sides by 2 )

n = 17

4 0
2 years ago
(a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right end
nirvana33 [79]
  <span>first, we are going to define variables as the following: 

a = 0 
a = π/2 
n = 4 rectangles 

Δx = [ b - a ] / n ------>Δx = [ π/2 - 0 ] / 4 = π/8 

right endpoints : 
sum( seq( 4 cos(x) * π/8 , x , 0+π/8 , π/2 , π/8 ) ) = 3.163065 underestimate 

left endpoints: 
sum( seq( 4 cos(x) * π/8 , x , 0 , π/2-(π/8) , π/8 ) ) = 4.733861 overestimate 

the reason because the actual estimate by integral as the following: 
π/2 
∫ 4cos(x) dx = 4 
0</span>
8 0
3 years ago
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