a cone with base radius 7 cm and a volume of 308cm^3 find the vertical height of the cone​

Answer:

16

Step-by-step explanation:

[tex] \tan(x) = \frac{13}{46} [/tex]

[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]

Step-by-step explanation:

First draw a lign segment like DF

Next keep the point on D make an arc by increasing the length of compass

As same keep the point on F make an arc lile same as before

Next there is apoint name it as any meeting on drew arc

connect it to the point with P

Answer:

Step-by-step explanation:

(a - b)(a + b) =a² - b²

(3x + 5)(3x -5) =(3x)² - 5² = 9x² - 25

(x +2)(x+2) = (x+ 2)² = x²+ 2*2*x+2² = x² + 4x + 4

(x+2)(3x -5 ) = x*3x - 5*x +2*3x +2*(-5)

                    = 3x² -5x +6x -10

                    = 3x² + x - 10

[tex]\frac{2*(3x+5)}{x+2}-\frac{5(x+2)}{3x-5}=3\\\\\frac{2*(3x+5)*(3x-5)}{(x+2)(3x-5)}-\frac{5*(x+2)(x+2)}{(3x-5)(x+2)}=3\\\\\frac{2*(9x^{2}-25)-5(x^{2}+4x+4)}{(3x-5)(x+2)}=3[/tex]

[tex]\frac{18x^{2}-25-5x^{2}-20x-20}{3x^{2}+x-10}=3\\\\\frac{18x^{2}-5x^{2}-20x - 25-20}{3x^{2}+x-10}=3\\\\[/tex]

13x² - 20x - 45 = 3*(3x² + x - 10)

13x² - 20x - 45 =9x² + 3x - 30

13x² - 9x² -20x - 3x - 45 + 30 = 0

4x² - 23x - 15 = 0

Answer:

y = ± 15

Step-by-step explanation:

Given

y² = 225 ( take the square root of both sides )

[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{225}[/tex]

y = ± 15

That is y = 15, y = - 15

Since 15 × 15 = 225 and - 15 × - 15 = 225

y² = 225

y = √225

y = 15

y²= 225

y = √225

y = -15

y = ±15

Therefore values of y are 15 and -15

Must click thanks and mark brainliest

Answer:

x = 5; y = 5

Step-by-step explanation:

One angle is a right angle, so its measure is 90 degrees.

One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.

x and y are opposite two 45-degree angles, so x = y.

In a 45-45-90 triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

We have

x : y : 5sqrt(2)

x/1 = 5sqrt(2)/sqrt(2)

x = 5

y = 5

Answer:

d) 16, 19, 14 + x

e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.

f) 13

g) 120

Step-by-step explanation:

D.

(1) 14 + 2 = 16

(2) 14 + 5 = 19

(3) 14 + x

E.

(1) x + 20

(2) 10 + 20 = 30

(3) 13 + 20 = 33

(4) 35 - 20 = 15

(5) y - 20

(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20

F.

200 - 148 = 52

52 / 4 = 13 each

G.

500 + 100 = 600

600 / 5 = 120 without the discount

Hope this helps!

Step-by-step explanation:

Answer:

300 yd³

Step-by-step explanation:

Volume = lwh

l = 6

w = 5

h = 10

so, 6×5×10 = 300 yd³

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Answer:

48

Step-by-step explanation:

using the formula 1/2 b*h

8*12=96

96/2=48

Answer:

4

Step-by-step explanation:

The degree is equal to the largest exponent on a variable. In this instance, it is 4.

Answer:

6 minutes

Step-by-step explanation:

The equation for time together is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/10 + 1/15 = 1/c

Multiply by the  least common denominator to clear the fraction

30c(1/10 + 1/15 = 1/c)

3c+ 2c = 30

5c = 30

Divide by 5

5c/5 = 30/5

c = 6

Answer:

6 minutes

Step-by-step explanation:

Person A does 1 job in 10 minutes.

In 1 minute, person A does 1/10 of the job.

Person B does the same job in 15 minutes.

In 1 minute, person B does 1/15 of the job.

Working together, in 1 minute the do

1/10 + 1/15 of the job.

Working together, they take t minutes to do the job.

In 1 minute, they do 1/t of the job.

1/10 + 1/15 = 1/t

3/30 + 2/30 = 1/t

5/30 = 1/t

1/6 = 1/t

t = 6

Answer:

X = 0.75 ( 1- n )

Step-by-step explanation:

let  X = the number one less than n gives (1-n)

75% of (1-n) = 0.75*(1-n) = 0.75(1-n)

In conclusion: X = 0.75 ( 1- n )

Answer:

Just agree on having ice cream

Step-by-step explanation:

Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The given parameters are:

Male:                                                               Female

[tex]Minimum = 0[/tex]                                                 [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex]                                                              [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex]                                                    [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex]                                                            [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex]                                               [tex]Maximum = 18[/tex]

A. IQR  for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex]  ----- Male dataset                                                    

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

Read more about box plots at:

https://brainly.com/question/1523909

Answer:

older person: 32 yrs younger person: 5 yrs

Step-by-step explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32

Answer:

x=7.5

Step-by-step explanation:

s is for students

d is for days

150 s take 5 days to finish food

if there are 100 s how many days will the same amount of food take

so 150 students × 5 days = 750 equation 1

100 students × x days= 100x equation 2

750 from 1 = 100 x from 2

750÷100=x

x=7.5 days

Answer:

[tex]U = x[/tex]

[tex]V=10[/tex]

Step-by-step explanation:

Given

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Required

Find U and V

We have:

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Expand

[tex]x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2[/tex]

Collect like terms

[tex]x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2[/tex]

[tex]x^2 + 20x + 100 = (U + V)^2[/tex]

Expand

[tex]x^2 + 10x + 10x + 100 = (U + V)^2[/tex]

Group

[tex][x^2 + 10x] + [10x + 100] = (U + V)^2[/tex]

Factorize each group

[tex]x[x + 10] + 10[x + 10] = (U + V)^2[/tex]

Factor out x + 10

[tex][x + 10][x + 10] = (U + V)^2[/tex]

So, we have:

[tex][x + 10]^2 = (U + V)^2[/tex]

By comparison

[tex]U = x[/tex]

[tex]V=10[/tex]

Answer:

should be 15.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]

= 8 + 4

= 12

Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]

Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]

So,

Square root of 64 + Cube root of 64

[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]

12 is the answer of the question asked.

____________

Hope it helps.

RainbowSalt2222

Answer:

baba booey

Step-by-step explanation:

444

Answer:

hello,

Step-by-step explanation:

n+2*(2n-5)=20

5n-10=20

5n=30

n=6

Let a be first term

[tex]\\ \rm\longmapsto a_8=a+7d[/tex]

[tex]\\ \rm\longmapsto 26=a+7(3)[/tex]

[tex]\\ \rm\longmapsto a=26-21[/tex]

[tex]\\ \rm\longmapsto a=5[/tex]

Now

[tex]\\ \rm\longmapsto a_4=a+3d[/tex]

[tex]\\ \rm\longmapsto a_4=5+3(3)[/tex]

[tex]\\ \rm\longmapsto a_4=5+9[/tex]

[tex]\\ \rm\longmapsto a_4=14[/tex]

Answer:

No. of children Frequency

0. 5

1. 7

2. 11

3. 5

4. 6

5 3

6 3

Answer:

There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).

A domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}

B domain: {–3, –2, 0, 1, 4}

C domain: {–5, –4, –3, 1, 2, 5}

D domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}

Answer:

what can i help u with

Step-by-step explanation:

Option C is correct that is domain is {-5,-4,-3,1,2,5}Explanation:The domain is the values that x will take

Answer:

6.25

Step-by-step explanation:

[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]

Hope this helps.

Answer:

Please find attached the drawing of ABCD, A'B'C'D', and A''B''C''D'', created with MS Excel

Step-by-step explanation:

The given composition of transformation is [tex]r_{y-axis} \ \circ \ r_{x = - 4}[/tex]

The transformation on the right, [tex]r_{x = - 4}[/tex], is carried out first as follows;

The point A with coordinate (-7, 7) reflected across the line x = -4, gives;

A(-7, 7) [tex]r_{x = - 4}[/tex] → A'(-1, 7)

Similarly, we have;

B(-5, 7) [tex]r_{x = - 4}[/tex] → B'(-3, 7)

C(-5, 1) [tex]r_{x = - 4}[/tex] → C'(-3, 1)

D(-7, 1) [tex]r_{x = - 4}[/tex] → D'(-1, 1)

Therefore, the image of the given rectangle after reflection across the lie, x = -4, is A'(-1, 7), B'(-3, 7), C'(-3, 1), and D'(-1, 1)

The second transformation, [tex]r_{y-axis}[/tex], is found as follows;

(x, y) [tex]r_{y-axis}[/tex] → (x, -y)

Therefore, we have;

A'(-1, 7) [tex]r_{y-axis}[/tex] → A''(-1, -7)

B'(-3, 7) [tex]r_{y-axis}[/tex] → B''(-3, -7)

C'(-3, 1) [tex]r_{y-axis}[/tex] → C''(-3, -1)

D'(-1, 1) [tex]r_{y-axis}[/tex] → D''(-1, -1)

The points ABCD, A'B'C'D', and A''B''C''D'' are plotted on MS Excel and the points joined with straight lines to form the drawing of the triangles as shown in the attached figure.

Answer:

Here is the detailed answer below

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Since the triangles are similar the side lengths must be proportional

2/12 = 4/PQ cross multiply expressions

2PQ = 48 divide both sides by 2

PQ = 24