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What is the area of the circle in terms of pi?

Answer:

Value of w = 6

Step-by-step explanation:

Given:

AB= 4w-4

BC = 2w-8

AC = 24

Find:

Value of w

Computation:

AB + BC = AC

4w - 4 + 2w - 8 = 24

6w - 12 = 24

6w = 24 + 12

6w = 36

w = 6

Value of w = 6

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

Answer:

18 sack lunches.

Step-by-step explanation:

You want 1/2 bananas and you have 9.

9 / 1/2 = 9 x 2 = 18 lunches.

Answer:

3.75%

Step-by-step explanation:

Principal , P= $800

Number of years, t = 2

Total Amount paid back(principal + simple interest) , A = $860

To obtain the interest rate on the loan :

We use the Relation :

A = P(1 + rt)

r = interest rate

860 = 800(1 + 2r)

860 / 800 = 1 + 2r

1.075 = 1 + 2r

1.075 - 1 = 2r

0.075 = 2r

r = 0.075 / 2

r = 0.0375

Hence, interest rate on loan = 0.0375 = (0.0375 * 100%) = 3.75%

Answer:

5x7=35

Step-by-step explanation:

Answer:

Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.

s = 1/2a^2*v+c

First you need to subtract c from both sides to get

s-c = 1/2a^2*v

then you can just divide both sides by 1/2a^2 to get v

(2(s-c))/a^2=v

when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.

Step-by-step explanation:

Answer

86

Step-by-step explanation:

You can spend 86 on each family member. 386-42=344

344/4=86

Answer:

the answer is 236.25

Step-by-step explanation:

The interest rate on annual basis on the given account should be considered as 0.9%.

Here the interest amount be

= Future value - principal

= $12,324 - $12,000

= $324

Now the interest rate be like

Interest = Principal * rate * time period

$324 = $12,000 * rate * 3/ 100

So, the rate be 0.9%.

Hence, The interest rate on annual basis on the given account should be considered as 0.9%.

Learn more about interest rate here: https://brainly.com/question/14191952

Answer: According to the picture the IQR would be 3.5

Step-by-step explanation:

Answer: The answer is two.

Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.

Answer:

0.8340

Step-by-step explanation:

The aim of this question is to find the probability that the student makes it to the second class prior to when the lecture commences.

Provided that A, B, and C are independent of each other from the full complete question.

Then; we want P(A + C < B)

So A [tex]\sim[/tex] N (2, 1.5)

B [tex]\sim[/tex] N (10, 1)

C [tex]\sim[/tex] N (6, 1)

P(A + C - B < 0)

Since they are normally distributed( i.e. A + C - B)

Then;

E(A + C -B) = E(A) + E(C) - (B)

E(A + C -B) = 2 - 10 + 6

E(A + C -B) =  -2

Var(A+C -B) = Var(A) + Var (B) + Var (C)

Var(A + C -B) = (1.5)² + (1)² + (1)²

Var(A + C -B) = 4.25

The standard deviation = [tex]\sqrt{4.25}[/tex]

The standard deviation = 2.06155

[tex]P(A+C-B) = p \Big (Z < \dfrac{0-(-2)}{2.06155} \Big )[/tex]

[tex]P(A+C-B) = p \Big (Z \le 0.97014 \Big )[/tex]

[tex]\mathbf{P(A+C-B) = 0.8340}[/tex]

Answer:

6x+6y+6

Step-by-step explanation:Distributive property and adding

Answer:

32

Step-by-step explanation:

since there are 4 parts, multiply 8 by 4

Answer:

10 i think

Step-by-step explanation:

Answer:

Notice that distance is always positive or 0. (-3)

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.

Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.

We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.

15/4 ÷ 5/8 = 6

Hence Tara can make 6 bracelets from the plastic sting.

Answer:

o.125 cupand 5 fluld

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 cup 2 fluid ounces

1 cup = 8 ounces

8 + 2 = 10 ounces

10 * 4,890 = 48,900 ounces = 6,112.5 cups = 6,112 1/2 cups

1/2 cup = 4 ounces

--> 6,112 cups 4 fluid ounces

Hope this helps!

Answer:

Step-by-step explanation:

Three tenths is 3/10 or 30/100 so if we take three hundreds from this it is 27 over hundred ( 27/100).

Answer:

hyperbola

Step-by-step explanation:

given data

double-napped cone = 60°

plane intersecting cone angle = 50°

solution        

conic section is formed hyperbola because here plane intersecting the cone makes an angle of 50° is less than angle b/w generator and central axis of 50°

so correct answer is hyperbola                              

Answer:

c on edge

Step-by-step explanation:

Answer:

37/50

Step-by-step explanation:

74/100

37/50

Answer:

37/50

Step-by-step explanation:

37 ÷ 50 = 0.74

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

find and interpret the value of × so that t(×) = 114.

Answer:

so what XDXD

Step-by-step explanation:

Answer:

5050

Step-by-step explanation:

Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:

1 + 2 + 3 + 4 + … + 98 + 99 + 100

First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.

1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50

100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51

1 + 100 = 101

2 + 99 = 101

3 + 98 = 101

:

:

:

:

48 + 53 = 101

49 + 52 = 101

50 + 51 = 101

It was realized by him that final total will be fifty times of 101 means:

50(101) = 5050.

Based on this, Gauss has derived formula as:

The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:

S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence

As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.

Answer : 5050

Answer:

[tex]Height= 5cm[/tex]

Step-by-step explanation:

Given

Tank:

[tex]Base =20cm\ by\ 17cm[/tex]

[tex]Depth = 28cm[/tex]

Water:

[tex]Quantity = 1\frac{1}{4}L, 350mL, 100mL[/tex]

Required

Determine [tex]the\ height[/tex] of the water in the tank

First, we calculate the total volume of water added.

[tex]Quantity = 1\frac{1}{4}L+ 350mL + 100mL[/tex]

[tex]Quantity = 1.25L+ 350mL + 100mL[/tex]

Convert all units to Litres

[tex]Quantity = 1.25L+ 0.35L + 0.1L[/tex]

[tex]Quantity = 1.7L[/tex]

Convert to cm^3

[tex]Quantity = 1.7 * 1000cm^3[/tex]

[tex]Quantity = 1700cm^3[/tex]

The volume of the water in the tank is calculated as:

[tex]Volume =Base\ Area * Height[/tex]

i.e. the base area of the tank multiplied by the height of the water in the tank

[tex]Volume =20cm * 17cm* Height[/tex]

[tex]Volume =340cm^2* Height[/tex]

Since the above represents the quantity of water, we can substitute 1700cm^3 for Volume

[tex]1700cm^3=340cm^2* Height[/tex]

Make height the subject

[tex]Height= \frac{1700cm^3}{340cm^2}[/tex]

[tex]Height= \frac{1700cm}{340}[/tex]

[tex]Height= 5cm[/tex]

Answer:

136

Step-by-step explanation:

[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]

Answer:

2+  x+8  =14

Subtract 2 from both sides of the equation.

x+8  +2−2=14−2

Subtracting 2 from itself leaves 0.

x+8 =14−2

Subtract 2 from 14.

x+8  =12

Square both sides of the equation.

x+8=144

Subtract 8 from both sides of the equation.

x+8−8=144−8

Subtracting 8 from itself leaves 0.

x=144−8

Subtract 8 from 144.

x=136

Step-by-step explanation: