In a class, 60% of the students are boys and the rest are girls. If the number of boys is 30, how many students are there? ​

Answer:

48%

Step-by-step explanation:

If you convert 24/50 to a percentage the answer is 48%

[tex] \frac{24}{50} [/tex]

the equivalent percent.

[tex] \frac{24}{50} [/tex]

[tex] = 0.48[/tex]

[tex]0.48 \times 100\%[/tex]

[tex] = 48\%[/tex]

therefore, the equivalent percent of 24/50 is 48%

if its diameter is 6, then its radius is half that or 3.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi[/tex]

The length of RT from the figure is 8 units

In order to find the measure of RT, we will use the pythagoras theorem. According to the theorem;

hypotenuse² = adjacent² + opposite²

From the given figure;

ST = hyp = 10

RS = adj = 6

Find RT

RT = √10² - 6²

RT = √100 - 36

RT = √64

RT = 8 units

Hence the length of RT from the figure is 8 units

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Answer:

Mikiala,  just remember  π is just a number. sooo

Step-by-step explanation:

we need a formula for area of a cone which is  (1/3) * π * r² * h

A = area , then

A=  (1/3) * π * r² * h

now just solve with the known info

A = 1/3 * π* [tex]6^{2}[/tex] *16

A= 192π

Answer:

603.2

Step-by-step explanation:

Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h

Answer:

33

Step-by-step explanation:

area of large triangle = 117

117-(30)-(12*5/2)-(8*6/2)

= 33

The exact area of the shaded region is 33 units²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given is a figure, we need to find the area of the shaded region.

For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,

The area of the big triangle = 1/2 x 18 x 13 = 117 units²

The area of the two small triangles =

1/2 x 6 x 8 = 24 units²

and

1/2 x 12 x 5 = 30 units²

Now, the area of the square = 5 x 6 = 30 units²

The area of the shaded region = 117-(24+30+30) = 33 units²

Hence, the exact area of the shaded region is 33 units²

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Answer:

y-intercept is 2

x- intercept(s) are -4 and 2

Step-by-step explanation:

y-intercept is where the line crosses the y line (vertical)

x- intercept is where the line crosses the x line (horizontal)

Step-by-step explanation:

The base form (or root) of a verb is the form listed in the dictionary. It is the version of the verb without any endings (endings such as -s, -ing, and ed). The base form is the same as the infinitive (e.g., to walk, to paint, to think) but without the to.

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)[/tex]

(4,-2) are points [tex](x_1, y_1)[/tex] respectively and [tex]\frac{1}{2}[/tex] is the slope

Point-slope:

[tex]y-y_1 = m(x-x_1)[/tex]      

Now you have to replace the variables with numbers

[tex]y+2 = \frac{1}{2}(x-4)[/tex]

Thus your equation would be:

[tex]y+2 = \frac{1}{2}(x-4)[/tex]

Hope this helped!

Answer:

[tex]x=(b-a)^{3}[/tex]

Step-by-step explanation:

Answer:

x = b³ - 3b²a + 3a²b - a³

Step-by-step explanation:

Given:

[tex]\sqrt[3]{x} + a = b[/tex]

To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.

Subtract "a" both sides to isolate ∛x:

[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]

[tex]\implies \sqrt[3]{x} = b - a[/tex]

Cube both sides to remove the cube root on the L.H.S:

[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]

[tex]\implies x= (b - a)^{3}[/tex]

Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³

[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]

[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]

Thus, the value of x is b³ - 3b²a + 3a²b - a³.

Answer:

39.36cm

Step-by-step explanation:

Since each bead has a radius of 1.64cm and there are 12 beads, all we have to do is multiply amount of beads by their length. Since it is the radius, we have to multiply the length by 2.

So [tex]3.28[/tex] × [tex]12 = 39.36[/tex]cm.

Answer:

what are the models

Step-by-step explanation:

but 4/16 and ¼ are both equivalent fractions for 2/8

Answer: That's because you have a greater than sign. And if you think about it 2 isn't greater than 5.

In contrast, if you'd had 2<5 (two is less than five) then you would be correct.

I hope this helps!

Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 500(1 - 0.08)^t[/tex]

[tex]A(t) = 500(0.92)^t[/tex]

At the 13th day, the mass is given by:

[tex]A(13) = 500(0.92)^{13} = 169.1[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

  $104.49

Step-by-step explanation:

The future value of the account is given by the formula ...

  FV = P(1 +r)^t

The interest earned is the difference between that future value and the original amount deposited.

  I = FV -P

__

For the given investment, rate, and time, we find the interest to be ...

  I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49

Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.

Slope:-

-4

y-intercept:-

(0,-3)

Hope it helps.

Do comment if you have any query.

Answer:

Slope: 4; y-intercept: -3

Explanation:

To find the slope of the line, we will look at the number in front of x.

That number is -4. Hence, the slope is -4

Now, the y-intercept is the constant.

The constant is -3.

Hence, the y-intercept is -3.

Use the Distributive Property, which states the following:-

[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]

where

we distribute a by multiplying it times b and c

In this case, we should distribute 9:-

9(3x-12)+9x

27x-108+9x

Combine Like Terms:-

[tex]\longrightarrow\sf{36x-108}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

C. 36x + 108

Step-by-step explanation:

Our expression :

Expanding :

#1) Open the bracket applying the distributive property.

#2) Combine like terms.

Answer:

greater than 90 but less than 180

Step-by-step explanation: the angle on 2 is a obtuse

hope this helps :)

Answer:

  154°

Step-by-step explanation:

Angles formed from opposite rays and sharing a vertex are called "vertical angles." Vertical angles are congruent.

Angle 2 and the one marked 154° are vertical angles, so they have the same measure.

Angle 2 is 154°.

_____

Additional comment

For this question, line WZ and angles 4 to 7 are irrelevant.

I think

1.3

2.15cm²

3.5

Sorry!!I don't have time ok

I'll explain later but i wrote the answer 1-3 ok

Answer:

45

Step-by-step explanation:

It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left

Answer:

67.5 is the upper quartile

Answer:

B

Step-by-step explanation:

Cut vertical but off vertcal axis.

A will produce a square and C and D will produce triangles.

a) she put the numbers in the wrong place, V2 ≠2

b) V32= 4V2

Answer:

Class width = 5

Mean = 20.375

Step-by-step explanation:

To find the class widths, find the difference between the upper and lower boundaries.

As there are gaps between the classes, the lower boundaries will be 0.5 less and the upper boundaries will be 0.5 more.

Class width = 10.5 - 5.5 = 5

To find the mean:

The easiest way to do this is to create a table (see attached).

[tex]\textsf{mean}=\dfrac{\sum fx}{\sum f}=\dfrac{815}{40}=20.375[/tex]

Answer:

Radius of sphere =1unit

SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31

∴V:S=1:3 cm

Step-by-step explanation:

Hope this helps. If any questions, please ask in comments.

Mr. Red's salary is an illustration of an arithmetic sequence

The explicit rule of Mr. Red's salary is an = 500n + 29500

Mr. Red's salary is an arithmetic sequence with the following parameters:

First term, a1 = 30000

Common difference, d = 500

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 30000 + (n - 1) * 500

Evaluate the product

an = 30000 - 500 + 500n

This gives

an = 29500 + 500n

Rewrite as:

an = 500n + 29500

Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500

Read more about arithmetic sequence at:

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Answer:

October

Step-by-step explanation:

because June and September have 30

days

Answer:

A - October

Step-by-step explanation:

⇒ October is the month which has 31 days

Answer:

See below.

Step-by-step explanation:

I have already answered #6 in a previous post. Kindly find the link to the solution below :

#7) Maximum Height

#8) Time taken to land on the ground

The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.

The volume of the cuboid will be:

= Length × Width × Height

= 12 × 2 × 7.5

= 180 inches³

The volume of the cylinder will be:

= πr²h

= 3.14 × 2.5² × 12

= 235.5 inches³

The surface area of the cuboid will be:

= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)

= 48 + 180 + 30

= 258 inches²

The surface area of the cylinder will be:

= 2πrh + 2πr²

= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)

= 188.4 + 39.25

= 227.65 inches²

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Answer:

∠ ABC = 60°

Step-by-step explanation:

the measure of an inscribed angle is hal the measure of its intercepted arc.

∠ ABC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 120° = 60°

Answer:

Step-by-step explanation:

The measure of the inscribed angle is half the measure of intercepted angle.

∠ABC  [tex]= \dfrac{1}{2} * 120\\[/tex]

            = 60°

Answer:

63⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰