In Hackensack High School, the ratio of students to teachers is 9 to 2. If there
are 90 teachers at the High School, how many students are there?

Answer:

7. 1583.36 cm³

8. 13,627.18 m³

Step-by-step explanation:

Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder

✔️Volume of Outer Cylinder:

Volume = πr²h

r = ½(12) = 6 cm

h = 14 cm

Volume = π*6²*14

Volume = 1583.36 cm³

✔️Volume of center cylinder:

Volume = πr²h

r = ½(4) = 2 cm

h = 14 cm

Volume = π*2²*14

Volume = 175.93 cm³

✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³

8. Volume of the solid = volume of the cone + volume of the cylinder

✔️Volume of the cone = ⅓πr²h:

r = 13 m

h = 14 m

V = ⅓*π*13²*14

V = 2,477.67 m³

✔️Volume of the cylinder = πr²h

r = 13 m

h = 21 m

V = π*13²*21

V = 11,149.51 m³

✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³

Answer:

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 6 units

Angle of one unshaded area = 160'

Find:

Sum of the areas of two  shaded regions

Computation:

Angle of one shaded area = 180' - 160'

Angle of one unshaded area = 20'

Sum of the areas of two  shaded regions = 2[θ/360][πr²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(6)²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = [0.888][113.04]

Sum of the areas of two  shaded regions = 100.46

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Answer:

The answer is Option A

Step-by-step explanation:

Start by dividing 54 by 6 which will give you 9

then divide b² by b^5 which will give you b³ at the denominator

then a^8÷a^-4

using indices...

=a^8-(-4)

=a^12

at the numerator

put everything together and you'll have...

9a^12/b³

A. [tex] \frac{9 \: {a}^{12} }{ {b}^{3} }[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]54 {a}^{8} {b}^{2} \div 6 {a}^{ - 4} {b}^{5} [/tex]

To solve the expression in a simpler way, single out the like terms.

Now, we have

[tex] \frac{54}{6} . \frac{ {a}^{8} }{ {a}^{ - 4} } . \frac{ {b}^{2} }{ {b}^{5} } \\ \\ = 9 \: {a}^{8 - ( - 4)} {b}^{2 - 5} \\ \\ (∵ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ \\ = 9 \: {a}^{8 + 4} {b}^{ - 3} \\ \\ = 9 \: {a}^{12} {b}^{ - 3} \\ \\ ( \: or \: ) \\ \\ = \frac{9 \: {a}^{12} }{ {b}^{3} } \\ \\ (∵ {a}^{ - m} = \frac{1}{ {a}^{m} } )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

2

Step-by-step explanation:

20%---4

20%---4

20%---4

15%---3

15%---3

10%---2

4-2=2

Answer:

2 scoops

Step-by-step explanation:

Hi there!

What the question tells us:

1) Determine the number of chocolate ice cream sales

The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.

20 × 20%

Change 20% into a decimal

= 20 × 0.2

= 4

Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.

2) Determine the number of strawberry ice cream sales

The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.

20 × 10%

Change 10% into a decimal

= 20 × 0.1

= 2

Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.

3) How many more of these scoops were chocolate than strawberry?

[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?

4 - 2 = ?

4 - 2 = 2

Therefore, 2 more of these scoops were chocolate than strawberry.

I hope this helps!

Answer:

RESOLUTION

Step-by-step explanation:

Resolution is the smallest increment a tool can detect and display. For a nonelectrical example, consider two rulers.

The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

Fist of all, we would assign variables to the distance between these astronomical objects as follows:

Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:

Sinθ = Opp/Hyp

Sinθ = EM/y

EM = y × Sinθ

Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

Read more on right triangle here: https://brainly.com/question/12955901

#SPJ1

answer:B

got it right on edg

The function that represents the exponential graph is, [tex]y = 2^{x+2} + 3[/tex].

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

We know a function is called an exponential function when the exponent is the independent variable, For example, aˣ.

From the graph of the function, When x = 0, y = 7.

Observing the options we have,

[tex]y = 2^{x+2} + 3[/tex].

When x = 0.

[tex]y = 2^{0+2} + 3.[/tex]

[tex]y = 2^{2} + 3.[/tex]

y = 7.

learn more about graphs here :

https://brainly.com/question/2288321

#SPJ7

Answer:

12

Step-by-step explanation:

f(-7) = 5-(-7)=5+7=12

Step-by-step explanation:

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.

Answer:

A

Step-by-step explanation:

Just did it

Answer:

Step-by-step explanation:

edge 2021

Answer:

554400

Step-by-step explanation:

To answer this question, we use combination as we are just interested in selection rather Than arrangement.

Beyonce songs ; 3 from 8 = 8C3

Justin ; 4 from 12 = 12C4

Drake ; 2 from 5 = 5C2

Version of happy birthday = 1 from 2 = 2C1

Recall :

nCr = n! ÷ (n-r)!r!

However, the answers can also be obtained using a calculator :

8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix

Answer:

i can not get the answer

Answer:

Step-by-step explanation:

Note: It is not mention what to find so than i am finding the value of x.

Given data:

3/4 : 1/2:: 27x: 14

Now,

[tex]x=\frac{1/2*27}{3/4*14} \\x=4.5[/tex]

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

Answer:

C. 80°

Step-by-step explanation:

Recall: SOH CAH TOA

Reference Angle = J

Opposite = 60

Adjacent = 11

Hypotenuse = 61

Apply trigonometric function, SOH, which is:

Sin J = Opp/Hyp

Sin J = 60/61

[tex] J = sin^{-}(\frac{60}{61}) [/tex]

J = 79.6111422°

J = 80° (nearest degree)

Answer:

The area of the label is 176,000 cm²

Step-by-step explanation:

The given parameters are;

The radius of the cylindrical container, r = 14 cm

The height of the cylinder, h = 20 m

The area covered with the label = The curved surface of the cylinder, A

The curved surface area of a cylinder, A = 2 × π × r × h

π = 22/7

∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000

A = 176,000 cm²

∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².

Answer:

A

Step-by-step explanation:

just A

successive y values are 5 TIMES the previous y value

In all the others the y value is an ADDITION of the same amount to the previous y value

Answer: 189.082

189.082 is 20% of 945.41

Step-by-step explanation:

What is 20% of 945.41?

Y is 20% of 945.41

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 20% * 945.41

Converting percent to decimal:

p = 20%/100 = 0.2

Y = 0.2 * 945.41

Y = 189.082

Answer:

The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green

Step-by-step explanation:

Given

[tex]Pr(Green) = 40\%[/tex]

See attachment for plots

Required

Is the number generator fair or not

From the number line, we have the following outcomes:

[tex]0 \to 1[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 7[/tex]

[tex]3 \to 2[/tex]

[tex]8 \to 1[/tex]

Divide each outcome by 12, to get the proportion of green in each trial

[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]

[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]

[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]

The above shows that the proportion of green in most of the trial is less than 40%

Hence, the number generator is not fair.

Answer:

D

Step-by-step explanation:

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

Answer:

[tex]56.3[/tex]

Step-by-step explanation:

The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).

Thus, we have:

[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]

The correct name for a side of the angle is C!

Answer:

C. ED

Step-by-step explanation:

Answer:

[tex]x=\frac{-7+-\sqrt{37} }{6}[/tex]

Step-by-step explanation:

This (±) goes between the [tex]-7[/tex] and [tex]\sqrt{37}[/tex]

[tex]3x^{2} +7x+1=0[/tex]

[tex]ax^{2} +bx+c[/tex]

[tex]-b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]/2a

[tex]-7[/tex] ± [tex]\sqrt{(7)^2-4(3)(1)}[/tex]/2(3)

[tex]-7[/tex] ± [tex]\sqrt{49-12}[/tex]/6

[tex]-7[/tex] ± [tex]\sqrt{37}/6[/tex]

Answer:

7250.66

Step-by-step explanation:

Answer Expert Verified

3.1/5

18

Surface of a cube=S(x)

S(x)=6x²

S(2 m)=6(2 m)²=6(4 m²)=24 m²

The surface of this cube is 24 m².

Volume of a cube=V(x)

V(x)=x³

V(2 m)=(2 m)³=8 m³

Answer:

18

Step-by-step explanation:

Answer:

y >= 5x - 3

Step-by-step explanation:

since the verbal description mentions "sum", we need to have at least two things to add together.

for this reason we cannot misinterpret the -3 as an element to be included in the "5 times" term, because otherwise we would not have a second thing to build a sum.

Answer:

C

Step-by-step explanation:

y intercept of the graph is -2

-9x is a very steep gradient