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DaniilM [7]
3 years ago
9

Cedric is constructing a kite in the shape of a rhombus.The spars of the kite measure 15 inches and 24 inches.How many fabric wi

ll Cedric need for the kite?
Mathematics
1 answer:
nalin [4]3 years ago
4 0
180 square inches:
the kite area formula is (ab) / 2
15 x 24 = 360 / 2 = 180
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Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
Answer these questions <br> GEOMETRY
pickupchik [31]

7. 3/5 = 4.5/x

3x= 5(4.5)

x = 15/2

8. 6/4 = 9/x

6x= 45

x= 15/2

8. since triangle ABC and ADE are identical,

angle E is also 30 degrees

so angle D = 180-(30+70)=80 degrees

9. 9/3 = x/5

3x = 45

x = 45/3 = 15

8 0
3 years ago
How many bus can fit in a room
RSB [31]

Answer: depending on the size of the room and what kind of bus

Step-by-step explanation:

8 0
2 years ago
HELP IF I DONT PASS THIS IS STAY IN THe GRADE I AM IN PLZZ​
kotegsom [21]

Answer:

2 1/9

Step-by-step explanation:

decimal 2.111111111111111111111111111

just cut 2 in half then 2/9 in half

8 0
2 years ago
Read 2 more answers
I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0
2 years ago
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