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yuradex [85]
2 years ago
15

The portion of the Arkansas state flag that is not red is a rhombus. On one flag, the

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
7 0

The area of a rhombus with length of diagonal as 24 inches and 36 inches is 432 in²

<h3>Rhombus</h3>

Rhombus is a quadrilateral with two pairs of opposite and equal parallel sides. All the sides of a rhombus are equal and the diagonals bisect each other at 90 degrees.

The area (A) of a rhombus is given by:

  • A = (pq) / 2

where p, q are the length of the diagonals.

Given that:

  • p = 24 in, q = 36 in, hence:
  • A = (24 * 36) / 2
  • A = 432 in²

The area of a rhombus with length of diagonal as 24 inches and 36 inches is 432 in²

Find out more on Rhombus at: brainly.com/question/88523

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An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

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so what is its x-intercept anyway?

\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3&#10;\\\\\\&#10;\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)
5 0
2 years ago
I don't understand this please help I posted both answer choice and question
professor190 [17]
Can you explain what the question is asking?
7 0
2 years ago
Please answer now fast
miss Akunina [59]

Answer:

∠2

Step-by-step explanation:

A supplementary angle is a 180° angle formed by two angles. ∠3 and ∠2 form a straight line / 180° angle.

5 0
3 years ago
cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0
Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder=2\pi rh

Area of circular base=Area of circular top=\pi r^2

Total cost,C(r)=0.02\times 2\pi rh+2\pi r^2\times 0.07

Volume of cylinder,V=\pi r^2 h

200=\pi r^2 h

h=\frac{200}{\pi r^2}

Substitute the value of h

C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07

C(r)=\frac{8}{r}+0.14\pi r^2

Differentiate w.r.t r

C'(r)=-\frac{8}{r^2}+0.28\pi r

C'(r)=0

-\frac{8}{r^2}+0.28\pi r=0

0.28\pi r=\frac{8}{r^2}

r^3=\frac{8}{0.28\pi}=9.095

r=(9.095)^{\frac{1}{3}}=2.09

Again, differentiate w.r.t r

C''(r)=\frac{16}{r^3}+0.28\pi

Substitute the value of r

C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0

Therefore,the product cost is minimum at r=2.09

h=\frac{200}{\pi (2.09)^2}=14.57

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0
3 years ago
The point Z(5, -3) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, Z′?
g100num [7]

Answer:

(3, - 5 )

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ), hence

Z(5, - 3 ) → Z'(3, - 5 )

4 0
3 years ago
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