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3 years ago

Hi can someone help me with these? if its wrong then just tell me so i can fix those ;-;

Mathematics

2 answers:

musickatia [10]3 years ago

8 0

Answer:

1) 1

2) 5

3) -8

4) 10

5) 9

6) -1

7) -3

Yuki888 [10]3 years ago

6 0

1) correct
2) correct
3) correct
4) correct
5) 9
6) -1
7) -3

hope this helps <3

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√8(√2-x)=11 a.) -7√2/2 b.) -7√2/4 c.) -7√8/8

igor_vitrenko [27]

After solving the equation, you will find the correct answer to be C, -7√8/8.
Have a great day!

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4 years ago

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△ABC is a right isosceles triangle, the centers of two arcs are the midpoint of AB

mel-nik [20]

Answer:

Step-by-step explanation:

Let's define 3 areas:

S = area of semicircle with radius 6 in (diameter AB)
T = area of quarter circle with radius 6√2 in (radius AC)
U = area of triangle ABC (side lengths 6√2)

The white space between the "moon" and the triangle has area ...

white = T - U

Then the area of the "moon" shape is ...

moon = S -white = S -(T -U) = S -T +U

The area we're asked to find is ...

moon - triangle = (S -T +U) -U = S -T

The formula for the area of a circle of radius r is ...

A = πr²

So, ...

S = (1/2)π(6 in)² = 18π in²

and

T = (1/4)π(6√2 in)² = 18π in²

The difference in areas is S -T = (18π in²) -(18π in²) = 0.

There is no difference between the areas of the "moon" and the triangle.

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3 years ago

A cylindrical cake with a height of 5 inches has a 30 degree slice removed. If the volume of the removed slice is 40 inches what

sesenic [268]

Answer: $5.52\ in.$

Step-by-step explanation:

Given

Height of cylindrical cake is $h=5\ in.$

$30^{\circ}$ slice is removed

Volume of the slice is $V=40\ in.^3$

Area of slice is

$\Rightarrow \dfrac{30^{\circ}}{360^{\circ}}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{12}$

Volume of slice will be multiplication of area and height

$\Rightarrow V=A\times h\\\\\Rightarrow 40=\dfrac{\pi r^2}{12}\times 5\\\\\Rightarrow \pi r^2=\dfrac{40\times 12}{5}\\\\\Rightarrow r^2=\dfrac{40\times 12}{3.142\times 5}\\\\\Rightarrow r^2=30.55\\\Rightarrow r=5.52\ in.$

Hence, the radius of the cake is $5.52\ in.$

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3 years ago

Emma tried to write and equation of the linear table but made an error

Lady bird [3.3K]

Answer:

The correct answer is (-3,-1) (0,5) (3,11)

Step-by-step explanation:

Emma's mistake was flipping her y-values, 11 matches with 3, not -3. The most likely reason she did this was accidentally making the slope negative. The table she wrote fits the line y=-2x+5. If you plug in -3 into the correct equation you will get -1 and 3 will get you 11.

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3 years ago

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Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut

USPshnik [31]

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

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3 years ago