The area of a circle, in terms of
π
, is 40
π
m2.
Find the value of the radius.
Give your answer as a simplified surd

The properties that justify each line is:

The expressions are given as:

[tex]c(bd)[/tex]

[tex](cb)d[/tex]

[tex](bc)d[/tex]

Notice that only the positioning of the variables are changed, the operator within the variables remain the same (i.e. the multiplication)

Hence, the properties that justify the three lines is the associative property of multiplication

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Answer:

Step-by-step explanation:

KJ,BDUVLJ,B SIV.LNDFVLIK.,snV LK,BNDIRLKN

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

you didn't put a picture in,

Answer:

Hope This Helps You

Have A Great Day

Answer:

x=8 , x=-1

Step-by-step explanation:

let the number is x

According to the condition

[tex] {x}^{2} - 8 = 7x \\ {x}^{2} - 7x - 8 = 0 \\ {x}^{2} - 8x + x - 8 = 0 \\ x(x - 8) + 1(x - 8) = 0 \\ (x - 8)(x + 1) = 0 \\ x - 8 = 0 \: or \: x + 1 = 0 \\ x = 8 \: or x = - 1[/tex]

Answer:

It is 9.0039

Step-by-step explanation:

9 » ones

.0 » tenths

0 » hundredths

3 » thousandths

[tex]{ \boxed{ \bf{9} \: » \: ten - thousandths}}[/tex]

1 » hundred thousandths

Answer:

9.0039

Step-by-step explanation:

Answer:

C (circumference) = 2 pi R for circle

A (arc length) = R * theta = pi R = pi * 9 = 28.27

Answer:

The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. ... Hence, the sum is Rs. 63,100.

Step-by-step explanation:

Have a nice day..

Answer:

6.89

Step-by-step explanation:

Do what's in the parentheses first then the rest and I rounded. Hope this helps!

Answer:

Step-by-step explanation:

width = w

L = 5w - 6

w(5w - 6) = 18

5w^2 - 6w = 18

5w^2 - 6w - 18 = 0

Using the quadratic equation formula

x = 2.58997 and

x = -1.38997   This root cannot be. (No rectangle has a minus length.

w = 2.58997

L = 5*2.58997 - 6

L = 6.94985

w = 2.59

L = 6.95

9514 1404 393

Answer:

  (c)  symmetric property

Step-by-step explanation:

The symmetric property of equality lets you swap sides of the equal sign.

__

Reflexive: A = A

Substitution: if A=B and A=C, then C=B

Symmetric: A = B  ⇔  B = A

Transitive: if A = B and B = C, then A = C.

  note that the substitution and transitive properties are almost indistinguishable.

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)

  78x -13 = 70x +35 . . . . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . . . . . . . divide by 8

Answer:  You can consult:

Triangles, squares and hexagons are the only regular shapes which tessellate by themselves. You can have other tessellations of regular shapes if you use more than one type of shape. You can even tessellate pentagons, but they won't be regular ones. Tessellations can be used for tile patterns or in patchwork quilts!

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

exponential quadrant

hope it helps you

The given function is of quadratic type. Therefore, the correct option is option C among all the given options.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a predictor variables (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Expressions of well-known functions can be found in many frequently used mathematical formulas. As an illustration, the formula A = r2 for both the area of either a circle plots the predictor variables A (this same area) as little more than a consequence of the regression coefficient r. (the radius).

Mathematical functions with more than two variables, often known as multivariable or multivariate functions, are frequently used; this is seen by the triangle's area formula. The given function is of quadratic type.

Therefore, the correct option is option C.

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Answer: Perhaps you did a typo..?

Step-by-step explanation: I know all about functions, but there seems not to be a worksheet. Perhaps you didn't add it on, or it's just me. But anyways, I would absolutely adore and love to help when you add it on. I wish you the best of luck

Given the assumption of a normal distribution with a mean of 100 and a standard deviation of 15, a score of 130 represents a z-score of 2. In different mostly older handbooks of descriptive statistics you can find a ‘from z to percentile-table’. Nowadays it’s more easy to use the computer. Using R, a free and open source statistical environment (www.r-project.org), you can use the command pnorm (130, 100, 15) and it will give 0.9772. Because yo want the proportion above that score you use 1-pnorm (130, 100, 15). Another way of writing in R and with for example 3 IQ-scores:

perc = pnorm (c (70, 100, 130), 100, 15)

(1 - perc)

gives you the above-proportion of the IQ-scores of respectively 70, 100 and 130.

Answer:

2+b=5, b=9

Step-by-step explanation:

Step-by-step explanation:

a=31

b=27

A = 46 degree

now, Area of ️ABC =ab siny÷2

=31×27 sin46÷2

=301.04371 .

Answer:

1 hour 12 minutes

Step-by-step explanation:

1.2 × 60 = 72 minutes

72-60 = 12 minutes

Answer:

5376

Step-by-step explanation:

V=sh

Answer:

[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]

Where ? = 2.

Step-by-step explanation:

We want to prove that the difference of the squares of two successive integers is equal to the sum of the integers.

In other words, we want to show that for any given integer n:

[tex]\displaystyle (n+1)^2 - n^2 = n + (n+1)[/tex]

From the original equation, expand:

[tex]\displaystyle = (n^2 + 2n + 1) - n^2[/tex]

Combine like terms:

[tex]= 2n +1[/tex]

And rewrite. Hence:

[tex]\displaystyle = n + (n + 1)[/tex]

Therefore:

[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]

In conclusion, ? = 2.

Answer:

650 x 1.07 = 695.5.......

Answer:

-4 < x < 4

Step-by-step explanation:

The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.

Given that:

[tex]P(t) = t^4 - 9t^3 + 24t^2 - 20t[/tex]

To calculate the profit, we simply substitute the values of t in the above equation.

(a) 5 months

This means [tex]t =5[/tex]

So, we have:

[tex]P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5[/tex]

[tex]P(5) = 0[/tex]

(b) 3 months

This means that [tex]t=3[/tex]

So, we have:

[tex]P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3[/tex]

[tex]P(3) = -6[/tex]

(c) 2 months

This means that [tex]t = 2[/tex]

So, we have:

[tex]P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2[/tex]

[tex]P(2) = 0[/tex]

(d) 1 month

This means that [tex]t = 1[/tex]

So, we have:

[tex]P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1[/tex]

[tex]P(1) = -4[/tex]

For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).

Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.

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Step-by-step explanation:

at x (2,-2)

y(0,4)

You can use the formula Y = MX + C

Answer:

9/10

Step-by-step explanation:

0.90 = 0.9 = 90/100 = 9/10

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