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1 year ago

Why is there always more than one parallelogram with the same area and base

Mathematics

1 answer:

BaLLatris [955]1 year ago

6 0

Answer:

If every line parallel to two lines intersects both regions in line segments of equal length, then the two regions have equal areas. In the case of your problem, every line parallel to the bases of the two parallelograms will intersect them in lines segments, each with a width of ℓ.

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Help me plz I’m struggling with this

elena-s [515]

Answer:

AC = 8√3 AC = 7.65

A = 43.17° AB = 16.8

B = 46.83° B = 27°

Step-by-step explanation:

FIRST TRIANGLE

by using pythagorus theorem:

Hypo² = Base² + height²

19² = 13² + AC²

AC² = 19² - 13²

AC² = 192

AC = √192

AC = 8√3

sinФ =base/hypo

sin A = 13/19

A = sin^-1 (13/19)

A = 43.17°

43.17°+ B + 90° =180 (sum of angles of triangle)

B = 180° - 133.17°

= 46.83°

<h3>SECOND TRIANGLE</h3>

TanФ = base/height

Tan 63° = 15 / AC

1.96 = 15/AC

AC = 15/1.96

AC = 7.65

AB² = AC² + BC²

AB² = 7.65² + 15²

AB² = 283.5

AB = √283.5

AB = 16.8

tan B = AC /BC

tanФ = 7.65/15

tanФ = 0.51

Ф = tan^-1(0.51)

B = 27°

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3 years ago

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Firlakuza [10]

The first one shows 1 cm and 7 mm, we need to convert 7 mm to cm
1 cm + 7 mm
= 1 cm + $\frac{7}{10}$ cm
= 1 cm + 0.7 cm
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The second one shows 11 inches and 5/16 inches. Between number 11 and 12, there are 16 strips and the pointer lies on fifth strip, thus it show 5/16 inches. The second one is 11 $\frac{5}{16}$ inches.

The third one shows 13 cm and 8 mm. We need to convert mm into cm.
13 cm + 8 mm
= 13 cm + 0.8 cm
= 13.8 cm
The third one is 13.8 mm

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3 years ago

I need help if you look at the answers, b and c are the same. What do I pick?

Temka [501]

Answer:

We have to choose any one from option B and option C

Step-by-step explanation:

We have to perform a subtraction of two decimal numbers.

(9.43 - 4.286) = (9.430 - 4.286) = 5.144.

Hence, the answer is 5.144 which is given both options B and C.

In case there are two options with the same value and the value is the answer, then you choose any one of them but not both.

Here in our case, we have to choose any one from option B and option C and we will be rewarded full marks. (Answer)

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3 years ago

Find the equations that describe the circle of radius 2 centered at(5, 6, 1)that is parallel to the xy-plane. (enter your answer

Vladimir [108]

we know that

the equation of the sphere is equal to

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} =r^{2}$

where

(h,k,l) is the center of the sphere

r is the radius of the sphere

In this problem

the center is (5, 6, 1) and the radius is 2 units

the equation of the sphere is equal to

$(x-5)^{2} +(y-6)^{2} +(z-1)^{2} =2^{2}$

<u>a) the equation of a circle that is parallel to the xy-plane is</u>

For z=1

$(x-5)^{2} +(y-6)^{2} =2^{2}$

<u>b) the equation of a circle that is parallel to the yz-plane is</u>

For x=5

$(y-6)^{2} +(z-1)^{2} =2^{2}$

<u>c) b) the equation of a circle that is parallel to the xz-plane is</u>

For y=6

$(x-5)^{2} +(z-1)^{2} =2^{2}$

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3 years ago

Why is there always more than one parallelogram with the same area and base​

Why is there always more than one parallelogram with the same area and base