Ben plays basketball 6 times every 3 weeks. At this rate how many times does he play basketball in 10 weeks ?

Answer:

? = 9.2

Step-by-step explanation:

The angle between a tangent and radius at the point of contact is 90°

Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5

Using Pythagoras' identity in the right triangle

?² + 6.9² = 11.5²

?² + 47.61 = 132.25 ( subtract 47.61 from both sides )

?² = 84.64 ( take the square root of both sides )

? = [tex]\sqrt{84.64}[/tex] = 9.2

Answer:

Solution given:

BC=BD=6.9 units

AD=4.6units

Now

AB=4.6+6.9=11.5units.

we have

<C=90°[the line from the tangent is perpendicular to the radius of circle]

we know that ∆ABC is a right angled triangle.

hypotenuse [h]=AB=11.5units

base[b]=BC=6.9 units

perpendicular [p]=x units

By using Pythagoras law

h²=p² +b²

11.5²=x²+6.9²

x²=11.5²-6.9²

x²=84.64

x=[tex] \sqrt{86.64} [/tex]=9.2

Sothe segment length indicated is 9.2 units.

Answer:

125 percent

Step-by-step explanation:

25 percent *500.00 =

(25:100)*500.00 =

(25*500.00):100 =

12500:100 = 125

Now we have: 25 percent of 500.00 = 125

Question: What is 25 percent of 500.00?

Percentage solution with steps:

Step 1: Our output value is 500.00.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$500.00=100\%$.

Step 4: Similarly, $x=25\%$.

Step 5: This results in a pair of simple equations:

$500.00=100\%(1)$.

$x=25\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{500.00}{x}=\frac{100\%}{25\%}$

Step 7: Again, the reciprocal of both sides gives

{x}/{500.00}={25}/{100}$

$Rightarrow x=125$

Therefore, $25\%$ of $500.00$ is $125$

Answer:

14mm×20mm=280mm²

14mm×12mm/2=84mm²

3.14×10²mm=314mm²

280m²+84mm²+314mm²=678mm²

Answer:

521mm^2

Step-by-step explanation:

First, separate the shapes.

-Half circle= diameter of 20, radius 10

-Rectangle= 14x20

-Triangle= (32-20)x14= 12x14

Then, calculate

Circle equation= (pi)r^2= (pi)(10)^2= 314.16    -> divide by 2 for half circle= 157.1

Rectangle= 14x20=280

Triangle= (12x14)=168   ->  Divide by two because it's a triangle= 84

Add 157 + 280 + 84 and you get  521

Answer:

abundance of water and suitable climatic conditio n is the main reasons .

Answer:

Mixed Fraction

Step-by-step explanation:

A mixed fraction is a fraction with a whole number attached to it like 5 1/5 or 3 1/2

[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

A mixed number is a whole number, and a proper fraction represented together.  It generally represents a number between any two whole numbers.

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Properties of Mixed Numbers :

1. It is partly a whole number.  

2. It is partly a fraction.

[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.

In [tex]1\frac{4}{5}[/tex] , 2 is the quotient, 4 is the remainder.

Find out more information about mixed fraction here

brainly.com/question/1301963

#SPJ2

[tex]\sf\purple{The\:value\:of\:x\:is\:10.4.}[/tex]✅

Step-by-step explanation:

[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: 10x - 4 = 20 \times 5 \\ ✒ \: 10x = 100 + 4 \\ ✒10x = 104 \\ ✒ \: x = \frac{104}{10} \\ ✒ \: x = 10.4[/tex]

[tex]\sf\red{Therefore,\:the\:value\:of\:x\:is\:10.4.}[/tex]

To verify:-

[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: \frac{10 \times 10.4 - 4}{5} = 20 \\ ✒ \: \frac{104 - 4}{5} = 20 \\ ✒ \: \frac{100}{5} = 20 \\ ✒ \: 20 = 20 \\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

602 / 43 = 14

we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

The measure of ∠S is equal to 151°.

In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.

As per the given data:

We are given the diagram of a shape and all its internal angles.

As the given shape is having 5 sides, it will be a pentagon.

The sum of all internal angles in a pentagon is equal to 540°.

∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540

= 43x - 62 = 540

= 43x = 602

x = 14

To find the measure of ∠S.

∠S = 13x - 31

∠S = 13(14) - 31

∠S = 151°

The measure of ∠S is equal to 151°.

To learn more about shape, click:

brainly.com/question/28978432

#SPJ2

Step-by-step explanation:

the rectangle area=L*W

(5x+2)(2x-1)

10x^2-5x+4x-2

10x^2-x-2

Answer:

(- 2, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 5y = 14 → (1)

y = [tex]\frac{1}{2}[/tex] x + 5 → (2)

Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)

3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14

3x + [tex]\frac{5}{2}[/tex] x + 25 = 14

[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )

[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4

solution is (- 2, 4 )

Answer:

We can not use ASA property of congruence.

Step-by-step explanation:

In ΔHML and ΔHMK,

HL ≅ HK [Given]

LM ≅ KM [Given]

HM ≅ HM [Reflexive property]

m∠L ≅ m∠K [Given]

ASA property of congruence,

Angle-Side-Angle property of congruence.

False

SSS property of congruence,

Side-Side-Side property of congruence,

True

SAS property of congruence,

Side-Included Angle-Side property of congruence,

True.

Therefore, we can not use ASA property of congruence.

Answer:

here is the right answer

C- (2,4)

Answer:

if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.

Answer:

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the question we are told that:

Null Hypothesis [tex]H_0: 50[/tex]

Alternative Hypothesis [tex]H_a: > 50[/tex]

Sample size [tex]n=50[/tex]

standard deviation[tex]\sigma=6[/tex]

Significance level [tex]\alpha=0.05[/tex]

a)

Sample mean [tex]\=x=52.5[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.95[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Reject the Null hypothesis [tex]H_0[/tex]

b)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=1.18[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude,The value of test statistics is less than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

c)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.12[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

Answer:

19 in^2

Step-by-step explanation:

3in * 5in = 15in^2

2in * 2in = 4in^2

15in^2 + 4in^2 = 19in^2

Feel free to mark it as brainliest :D

Answer: 19

Step-by-step explanation:

Area of the square + Area of the Triangle

good luck my boi

Answer: Impossible

Step-by-step explanation: Even if 24 people were on the teacher salary, 780,000 still couldn't cover them all.

Answer:

5/12 ton

Step-by-step explanation:

Y1 ( uniform random variable ) : ( 0, 1 )

Y2 ( uniform distribution ) ; ( 0, y1 )

supplier stocked ; 5/6 ton

Determine the amount of tons expected to be sold

F ( y2 | y1 ) = 1 / y1

E ( y2 | y1 = 5/6 )

The number of tons expected to be sold = 5/12 ton

attached below is the detailed solution

Answer:

Step-by-step explanation:

Surface area of a cube of side-length 0.5m

= 6(0.5)^2 = 6(0.25) = 1.5 sq.m.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−6x+9=5

Step 2: Subtract 5 from both sides.

x^2−6x+9−5=5−5

x^2−6x+4=0

Step 3:  a=1, b=-6, c=4

1x^2+−6x+4=0

Step 4: Quadratic formula (a) =1, b=-6, c=4

x= 6±√20 /2

Step 4: Last Step

x=3−√5

Explanation in words:

The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.

Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.

Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula       a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.

Answer:

x=3+√5

x=3−√5

Hope this helps.

Answer:

Step-by-step explanation:

IG you wanted to solve for X ?   there are two answers ofc,  

x= 3-[tex]\sqrt{5}[/tex]

x=3+[tex]\sqrt{5}[/tex]

Answer:

= 6 typists

Step-by-step explanation:

Well, 2 can type 2 in 2 mins,

So, 1 can type 2 in 4 mins.

So, 1 can type 18 in 36 mins.

So, 2 can type 18 in 18 mins.

So, 6 can type 18 in 6 mins.

$14.40. And then you have the tax. :D

Have A Great Day.

The cost of 2 dozen pens will be "$14.4".

Given:

Cost of 6 pens,

As we know,

then,

                        = [tex]24[/tex]

Now,

→ The cost of 1 pen will be:

= [tex]\frac{3.60}{6}[/tex]

= [tex]0.6[/tex] ($)

hence,

→ The cost of 24 pens (2 dozen) will be:

= [tex]0.6\times 24[/tex]

= [tex]14.4[/tex] ($)

Thus the above solution is right.

Learn more:

https://brainly.com/question/10771844

Answer:

0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.

Step-by-step explanation:

The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]

5-minute period

This means that [tex]a = 0, b = 5*60 = 300[/tex]

Find the probability that it arrived during the last 30 seconds of the 5-minute period.

300 - 30 = 270. So

[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]

0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.

Step-by-step explanation:

Total time taken=(30/24+12/8)

=(1.25+1.5)

=2.75 hrs

=165 minutes

=2 hrs and 45 minutes

formula used: v=d/t

or,d=v×t

or,t=d/v which is the master formula used in the solution of this problem.

If you are satisfied with my answer then please, give brainliest.

Answer:

The answer is D

Step-by-step explanation:

The two solutions are (-2,0) (this is the solution that is on the x axis to the left).

And

(0,2)

Remember the notation is alphabetical. The x value is stated on the left. Then comes a comma, and the y value is on the right of the comma.

Answer:

The correct answer is "0.0000039110".

Step-by-step explanation:

The given values are:

[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]

[tex]\mu = 40n[/tex]

[tex]\sigma^2=100n[/tex]

[tex]n=20[/tex]

then,

The required probability will be:

= [tex]P(Y_{20}>1000)[/tex]

= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]

= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]

= [tex]P(Z>\frac{200}{44.7214} )[/tex]

= [tex]P(Z>4.47)[/tex]

By using the table, we get

= [tex]0.0000039110[/tex]

Finding x,

We will use Pythagoras theorem to determine the value of x:

[tex]9^{2} = {8}^{2} + {x}^{2} \\ 81 = 64 + {x}^{2} \\ 81 - 64 = {x}^{2} \\ {x}^{2} = 17 \\ x = \sqrt{17} [/tex]

Finding y,

We have to determine the angle, at the bottom left of the bigger triangle.

Using sine rule,

[tex] \frac{9}{sin(90)} = \frac{8}{sin(z)} \\ sin(z) = 0.8889 \\ z = {sin}^{ - 1} (0.8889) \\ z = 62.73[/tex]

To find the angle on the smaller triangle,

[tex]a = 90 - 62.73 \\ a = 27.27[/tex]

Finding the missing length of y,

[tex] \frac{ \sqrt{17} }{sin(62.73)} = \frac{m}{sin(27.27)} \\ m = 2[/tex]

So y = 2 + 8, y = 10

Answer:

[tex]P(t) = 1460(1.06)^t[/tex]

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for a population after t years is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

Currently, there are 1,460 wolves in Scataway National Park.

This means that [tex]P(0) = 1460[/tex]

Growing at a rate of 6% every year:

This means that [tex]r = 0.06[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 1460(1+0.06)^t[/tex]

[tex]P(t) = 1460(1.06)^t[/tex]

Answer:

Step-by-step explanation: