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cricket20 [7]
3 years ago
7

43. Use the Quadratic Equation to find the Roots of x + 3x - 60

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

x= 3.82973586

Step-by-step explanation:

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Radda [10]

Answer:

rectangle

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3. Repeat this process to find the width and height of a newer 48-inch television whose
AlekseyPX

Answer:

<h3>23.5"</h3>

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

4 0
3 years ago
Acme annuities recently offered an annuity that pays 4.7% compound monthly. What equal monthly deposit should be made into this
Ksivusya [100]
Formula for Compound Interest

Amount = Principal * (1 + Rate/100)^Time
A = P * (1 + R/100)^T
P = A/((1 + R/100)^T) = 92000/((1 + 4.7/100)^16) = $44120.5503
4 0
4 years ago
prove that if two circles are tangent externally then the common internal tangent bisects a common external tangent.
Scilla [17]

Explanation:

Consider the attached diagram.

Circles A and B have mutual tangents CF and DE that intersect at point F.

We know that the two tangents to a circle from an external point are congruent, so ...

  FE≅ FC

  FD ≅ FC

By the transitive property of congruence, both segments congruent to FC are congruent to each other:

  FD ≅ FE

Therefore, CF is a bisector of DE.

5 0
3 years ago
At a zoo, the lion pen has a ring-shaped sidewalk around it. The other edge of the sidewalk is a circle with a radius of 11 m. T
Vikentia [17]
Diameter = 2r
6 = 2r r = 3 for the radius of the flowerbed
If we were to include the sidewalk around the bed, the diameter would stretch out another meter in both directions, meaning adding 2 meters to the diameter making the new diameter 6 + 2 = 8 and 8/2 = 4 so 4 = radius of the circle including the sidewalk. Find the area of the big circle and subtract the area of the smaller circle to find the area of the sidewalk.
Small circle = pi*3 squared.
5 0
3 years ago
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