A cube block has sides 8cm long. A cylindrical hole of radius 3.6 is drilled through the block. Find the volume of the block that remained

Answer:

[tex]20 = \frac{Far \ arc - Near \ arc}{2}\\\\20 = \frac{160 - (2m +12)}{2}\\\\40 = 160 - (2m + 12)\\2m + 12 = 160 - 40\\2m = 120 -12\\2m = 108\\m = 54[/tex]

Answer:

m = 54

Step-by-step explanation:

The secant- secant angle 20° is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (160 - 2m - 12) = 20° ( multiply both sides by 2 to clear the fraction )

- 2m + 148 = 40° ( subtract 148 from both sides )

- 2m = - 108 ( divide both sides by - 2 )

m = 54

Answer:

The answer of the question is C

24

Answer:

11

Step-by-step explanation:

We know formula to find average is,

Average=  

Numberofnumbers

Sumofnumbers

​  

Since the average of 10, so the sum of numbers is 5×10=50

As the fifth number is given 6, so rest 4 numbers will be = 50−6=44

Average of first four numbers will be Average=  

4

44

​  

=11

Answer:

they are talking about the congruent sides of the figures.

Step-by-step explanation:

both are the same triangle, just rotated a little differently... image you rotated them to look the same direction.... angles cd would look like the same angles as JL. same with CE and JM. just imagine the triangles are facing the same direction and then match up the same looking angle letters....

im sorry, it's hard to explain over writting..... :l

Answer:

41.67%

Step-by-step explanation:

:)

Answer:

Hi there! The correct answer should be: x is 60 degrees

Step-by-step explanation:

okay, so the equation is:

2x + 60 = 180

which we will solve:

2x + 60 - 60 = 180 - 60

2x = 120

x = 60

Answer:

The temperature is: 14.5 degrees

Step-by-step explanation:

Given

[tex]T = 4 \cos(30(t - 8)) + 16[/tex]

Required

The temperature at 4:15

We have:

[tex]t = 4:15[/tex]

Convert to hours

[tex]t = 4+\frac{15}{60}[/tex]

[tex]t = 4+0.25[/tex]

[tex]t = 4.25[/tex]

So:

[tex]T = 4 \cos(30(t - 8)) + 16[/tex]

[tex]T = 4 \cos(30(4.25 - 8)) + 16[/tex]

[tex]T = 4 \cos(30(-3.75)) + 16[/tex]

Open bracket

[tex]T = 4 \cos(-112.5) + 16[/tex]

[tex]T = 4 *-0.3826 + 16[/tex]

[tex]T = -1.5304 + 16[/tex]

[tex]T = 14.4696[/tex]

Approximate

[tex]T = 14.5^o[/tex]

Answer:

297

Step-by-step explanation:

Since we have to make 9 as the whole, and 33 is the denominator to make 9, we need to multiply 9*33=297.

This makes no sense if you hear it. But trust me it is the right answer i think.

Answer:

7

Step-by-step explanation:

AB = 3x-2

Let x=3

AB = 3*3 -2

    = 9-2

    =7

============================================================

Explanation:

As the diagram shows, we have a triangular face with a base of b = 18 and height of h = 13. The area of this triangular face is:

A = 0.5*b*h

A = 0.5*18*13

A = 117 square cm or cm^2

This represents the area of one face, but there are 4 identical copies of this triangular face assuming this tetrahedron is a regular polyhedron. So we have a total surface area of 4*117 = 468 cm^2 which points us to choice B

This is the amount of paint you'll need to cover the outer surface of the pyramid, or you can think of it as the amount of wrapping paper needed. This assumes there are no gaps or overlaps.

Answer:

The slope is -1/2

Step-by-step explanation:

slope is found by putting the rise over run, which is -2/4 or -1/2

Answer:

17/100

Step-by-step explanation:

Answer:

17/100

Step-by-step explanation:

I’ve done this

Answer:

the answer is ..........

c: 24^21

Answer:

here a link to your answer

Step-by-step explanation:

https://brainly.com/question/20419046

plus the answer is b

Answer:You get 21 Square inches i believe

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

8/pi or approximately 2.55 ft

Step-by-step explanation:

The formula for the circumference is

C = 2 * pi *r

16 = 2 * pi *r

Divide each side by 2 pi

16 / ( 2 pi) = 2 * pi * r/ ( 2 pi)

8 / pi = r

Using 3.14 for pi

8 / 3.14 = r

2.54777 = r

2.55 =r

Answer:

Radius ≈ 2.55 ft.

Step-by-step explanation:

GIVEN :-

TO FIND :-

FORMULAE TO KNOW BEFORE SOLVING :-

For a circle with radius 'r' & circumference 'c' ,

[tex]r = \frac{c}{2\pi }[/tex]

SOLUTION :-

[tex]Radius = \frac{Circumference}{2\pi } = \frac{16}{2\pi } = \frac{8}{\pi } = 2.55 ft. (appx)[/tex]

Answer:

1) glazed = 48 people

Chocolate = 72 people

Jelly = 24 people

Coconut = 16 people

2)9th grade = 219 students

10th grade = 167 students

11th grade = 147 students

12th grade = 151 students

Step-by-step explanation:

We are solving the examples;

1) We are told that there are 20 students in Kayla's first period class.

No. that preferred glazed donuts = 6

No. that preferred chocolate donuts = 9

No. that preferred jelly donut = 3

Number that preferred coconut donut = 2

Now,there are a total of 160 students in the entire grade. So to find the Number of students in this entire grade that will each prefer the types of donuts listed above, we will solve as;

For glazed donuts; 6/20 × 160 = 48 people

For chocolate donuts; 9/20 × 160 = 72 people

For jelly donut; 3/20 × 160 = 24 people

For coconut donut; 2/20 × 160 = 16 people

2) Total number of students is;

9th grade = 300 students

10th grade = 275 students

11th grade = 250 students

12th grade = 280 students

73% of 9th grade prefer valorant. Thus;

73% × 300 ≈ 219 students

61% of 10th grade prefer valorant. Thus;

61% × 275 ≈ 167 students

59% of 11th grade prefer valorant. Thus;

59% × 250 ≈ 147 students

54% of 12th grade prefer valorant. Thus;

54% × 280 ≈ 151 students

Answer:

T

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Con cada depósito se pueden llenar 3,617.28 envases.

Step-by-step explanation:

Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:

3.14 x (12x12) x 20 = X

3.14 x 144 x 20 = X

452.16 x 20 = X

9,043.2 = X

9,043.2 / 2.5 = X

3,617.28 = X

Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.

Answer:

z = 30; obtuse isosceles triangle

Step-by-step explanation:

4z + z + 30 = 180

5z + 30 = 180

5z (+ 30 - 30) = 180 - 30

5z = 150

5z/5 = 150/5

z = 30

Since z = 30, and 30 = 30, two angles are congruent to each other and there is only one obtuse angle. Therefore, this is an obtuse isosceles triangle.

Answer:

30, obtuse isosceles

Step-by-step explanation:

Tow sides are the same making it an isosceles triangle. This requires two of the same sides and two of the same angles. This means that z is the sameas 30 degrees.

Answer:

No

Step-by-step explanation:

Using the given values, 25 is the largest value, so if this were a right triangle, it would be the hypotenuse.

Using Pythagoras' theorem: For this triangle to be a right triangle, √(21² + 14²) must be equal to 25.

√(21² + 14²) = 25.239 (5sf) ≠ 25

Hence the triangle formed is not right.

Answer:

d. 16 feet

Step-by-step explanation:

x² + 12² = 20²

x² + 144 = 400

x² + 144 - 144 = 400 - 144

x² = 256

√x² = √256

x = 16

Answer:

145 degrees

Step-by-step explanation:

All angles in a parallelogram always add up to 360 degrees when added together.

And all angles are the same as the angle adjacent to them.

Since we already know that angle DAB is 35, then the adjacent angle BCD, is also 35.

And since we know that all the angles add up to 360, we just gotta do the math.

35 + 35 = 70 and when you subtract 70 from 360 you get 290. Now all you have to do is divide 290 by 2, and you get 145, which is also the same as angle ABC since they are adjacent to each other.

Answer:

Hypotenuse is 13 ft.

Step-by-step explanation:

A=(1/2)bh

30=(1/2)(5)(h)

30=2.5h

h=12  so ZY = 12ft

Then

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +12^{2} =c^{2} \\25+144=c^{2} \\169=c^{2}\\13=c[/tex]

Answer:

1. (8,-4), sqrt(12) = 2×sqrt(3)

2. (-8,4), 9

3. (0,5), 3

4. (-4,-5), 8

5. (7,3), 12

6. x^2 + (y+5)^2 = 49

7. (x-6)^2 + (y+1)^2 = 144

8. (x+2)^2 + (y-3)^2 = 16

9. (0-0)^2 + (7-3)^2 = r^2

0 + 16 = r^2

=> r = 4

Step-by-step explanation:

remember, the general equating of a circle is

(x-h)^2 + (y-k)^2 = r^2

Answer:

solving a quadratic equation by factoring

using the quadratic formula

Step-by-step explanation:

Answer:

x = 14.7

Step-by-step explanation:

law of sines:

sin 20°/7 = sin 46°/x

x ·sin(20°) = 7 ·sin(46°)

x = 7 ·sin(46°) / sin(20°)

x = 14.722

Answer: [tex]0.791\leq p\leq0.909[/tex]

Step-by-step explanation:

The confidence interval for the population proportion is given by:-

[tex]\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion, n =sample space , z* = critical z-value.

As per given, we have

[tex]n = 247[/tex]

[tex]\hat{p}=0.85[/tex]

Critical value for 99.9% confidence = 2.576

The required confidence interval will be:

[tex]0.85-2.576\sqrt{\frac{0.85\times0.15}{247}}\leq p\leq 0.85+2.576\sqrt{\frac{0.85\times0.15}{247}}\\\\\Rightarrow\ 0.85-(0.058526)\leq p \leq0.85+(0.058526)\\\\\Rightarrow\ 0.791474\leq p\leq0.908526\approx0.791\leq p\leq0.909[/tex]

The required confidence interval: [tex]0.791\leq p\leq0.909[/tex]