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Kobotan [32]
3 years ago
9

9 What dimensions do we need a rectangular

Mathematics
1 answer:
wlad13 [49]3 years ago
3 0

Answer:

W=30m L=90m

Step-by-step explanation:

A =2,700 m²

L=W+60

we know that area of a rectangle is A=L*W so we sustitute what we know

A=L*W

2,700 = (W+60)*W distribute

2,700 = W² +60W subtract 2,700 from both sides

W²+60W-2,700 =0

solve the quadratic equation with quadratic formula or on the calculator on the graph and will get W= -90 and W=30. Reject the -90 value because we can not have negative measurements. Our solution is W=30

L=A/W=2,700/30=90

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A bag contains different colored candies. There are 50 candies in the bag, 28 are red, 10 are blue, 8 are green and 4 are yellow
Mrrafil [7]

Answer:

\displaystyle \frac{54}{5405}.

Step-by-step explanation:

How many unique combinations are possible in total?

This question takes 5 objects randomly out of a bag of 50 objects. The order in which these objects come out doesn't matter. Therefore, the number of unique choices possible will the sames as the combination

\displaystyle \left(50\atop 5\right) = 2,118,760.

How many out of that 2,118,760 combinations will satisfy the request?

Number of ways to choose 2 red candies out a batch of 28:

\displaystyle \left( 28\atop 2\right) = 378.

Number of ways to choose 3 green candies out of a batch of 8:

\displaystyle \left(8\atop 3\right)=56.

However, choosing two red candies out of a batch of 28 red candies does not influence the number of ways of choosing three green candies out of a batch of 8 green candies. The number of ways of choosing 2 red candies and 3 green candies will be the product of the two numbers of ways of choosing

\displaystyle \left( 28\atop 2\right) \cdot \left(8\atop 3\right) = 378\times 56 = 21,168.

The probability that the 5 candies chosen out of the 50 contain 2 red and 3 green will be:

\displaystyle \frac{21,168}{2,118,760} = \frac{54}{5405}.

3 0
3 years ago
QRST is a rectangle. If RT = 5x – 5 and SQ = x + 11, find the value of x.
Hatshy [7]
5x - 5 = x + 11
5x = x + 16
4x = 16
x = 4
8 0
3 years ago
Read 2 more answers
What is the value of y in the equation 4(5y − 8 − 2) = 185 − 15? 8. 5 9. 7 10. 5 42. 5.
Bezzdna [24]

Answer:

10.5 is the answer

Step-by-step explanation:

4(5y−8−2)=185−15

(4)(5y)+(4)(−8)+(4)(−2)=185+−15(Distribute)

20y+−32+−8=185+−15

(20y)+(−32+−8)=(185+−15)(Combine Like Terms)

20y+−40=170

20y−40=170

20y−40+40=170+40

20y=210

20y/20=210/20

y=21/2

y=10.5

6 0
2 years ago
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the
dem82 [27]

Answer: 320°

Step-by-step explanation:

This is a circle geometry.

The arc length of the circle is given to be 8πcm and the radius is 4.5cm.

Now the length of an arc of a circle is

Arc length = πr0°/180° or 2πr0°/360°

To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go

πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.

πr0° = 8π × 180

0°. = 8π × 180

-----------

π × r

= 8 × 180. 8 × 180

-------- or ---------

9/2. 4.5

= 8 × 180 × 2

------------

9

= 8 × 20 × 2

= 320°

or 8 × 180/4.5

= 1440/4.5

= 320°

4 0
3 years ago
1. What is the vertex of the graph of the function y=-(x + 9)^2 + 5?
dolphi86 [110]

Answer:

96

Step-by-step explanation:

96 -01

500-10 = 49

6 0
3 years ago
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