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ivann1987 [24]
3 years ago
7

I need help evaluating this problem

Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0
Your answer should be 16/9
Reil [10]3 years ago
3 0
\bf \left( \cfrac{64}{27} \right)^{\frac{2}{3}}\implies \left( \cfrac{4^3}{3^3} \right)^{\frac{2}{3}}\implies \left( \cfrac{4^{3\cdot \frac{2}{3}}}{3^{3\cdot \frac{2}{3}}} \right)\implies \cfrac{4^2}{3^2}\implies \cfrac{16}{9}
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34. The diagram shows a sector of a circle of radius 10 cm.
Sergio [31]

Answer:

rc  length  =  10 * 8pi/5

 =   16pi

This is the circumference of the base

(a)   2pir     =   16pi  where  r  =  radius of base

  2r     =    16

   r     =  8 cm

(b)   10^2    =   h^2   +  8^2

 h^2    =   100  -  64

  =    36

h      =    6 cm

8 0
2 years ago
Read 2 more answers
An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are E(1)= ^9C_2 places in which the other 2 red balls can be placed.

A red ball drawn third, there are E(3)= ^7C_2 places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are E(5)= ^5C_2 places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are E(7)= ^3C_2 places in which the other 2 red balls can be placed.

The total number of total event is S= ^{10}C_3

The probability that A selects the first red ball is

P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}

P(A \text{wins})=\frac{36+21+10+3}{120}

P(A \text{wins})=\frac{70}{120}

P(A \text{wins})=0.5833

6 0
3 years ago
What are the solutions to the quadratic equation? x2 2 + 3x - 10 = 0
FrozenT [24]

Answer:

2 and -5

Step-by-step explanation:

x2 + 3x - 10 = 0

Factors of -10 include, -2 and 5

so  now we have to factor

(x-2)(x+5)

so x can equal 2 and -5

5 0
3 years ago
Plz Urgently for today !!!!!!!!!!!
Elden [556K]
Block one is 17
Block 2 is 15
Block 3 is -8 (negative 8)
Block 4 I need to see the options
Block 5 I need to see the option
Block 6 is she does live in the area
3 0
3 years ago
A light shines from the top of a pole 50ft high. a ball is dropped from the same height from a point 30 ft away from the light.
belka [17]
The speed of the ball is 
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft

50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
7 0
3 years ago
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