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Solve your word problem using a model. Use complete sentences to describe your model, and interpret the quotient in the context of your word problem. If you wish, you may upload a copy of your model.

Answer:

The remaining area of the circle is 196.06 cm².

Step-by-step explanation:

(area of circle) - (area of triangle) = remaining area of the circle

πr² - ½bh

3.14(8)² - ½(3)(4)

3.14(64) - ½(12)

202.06 - 6

= 196.06

Answer:

195.06 cm²

Step-by-step explanation:

First let's find the area of the circle

[tex]\pi r^{2}[/tex]

[tex]\pi *8*8[/tex]

[tex]64\pi[/tex]

= 201.06 cm²

Now let's find the area of the triangle

[tex]\frac{1}{2} *base*height[/tex]

[tex]\frac{1}{2} *3*4[/tex]

= 6 cm²

Now let's find the area of the shaded region

[tex]201.06-6=195.06\: cm^{2}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

the last one

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.

miles had to work 4 hours to pay his phone bills and he had 1$ left over

Answer:

i dont know

Step-by-step explanation:

what question are you asking?

Answer:

A fraction is essentially division, so 3/5 is the same as 3 ÷ 5

3÷5 = 0.6

[tex]5\sqrt{3\\[/tex]

(imagine the square root is the divsion thing)

5 cannot go into 3 so the answer is a decimal

then add a zero at the end of 3 to make 30

   0.

[tex]5\sqrt{30[/tex]

and 5 can go into 30, 6 times so you add a 6 to make 0.6

    0.6

[tex]5\sqrt{30[/tex]

Step-by-step explanation:

(a)→ Given numbers are 7/-13 and -8/15

LCM of 13 and 15 = 195

7/-13

= -7/13

= (-7/13)×(15/15)

= (-7×15)/(13×15)

= -105/195

and

-8/15

= (-8/15)×(13/13)

= (-8×13)/(15×13)

⇛ -104/195

So,

-105/195 < -104/195

-7/13 < -8/15

(b)→ Given numbers are 5/8 and -9/14

We know that

Negative numbers are always less than positive numbers

5/8 > -9/14

(c).→Given numbers are -11/16 and 13/-16 = -13/16

-11/16 >-13/16

(d)→Given numbers are -9/-13 = 9/13 and

36/52 = 9/13

Both are same

-9/-13 = 36/52

Answer:

The required number is 70.

Step-by-step explanation:

let the no. be 10y + x where x is unit digit and y is ten's digit.

given , sum of the digit is 7

x + y = 7 ...(1)

also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.

given reversed digit decreases the number by 63 .

so, 10y + x - ( 10x + y ) = 63

9y -9x = 63

( dividing both side by 9 )

y - x = 7 ....(2)

adding 1 and 2 [ refer attachment ]

so the required original number is

10y + x = 10×7+0 = 70

Answer:

1/50000

Step-by-step explanation:

Sorry if this wasn't helpful! this was the only logical answer i had!

The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

The given equation is:

[tex]3x^3-5x^2-x+3[/tex]

To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]

When x = 4:

[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]

Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

Learn more here: https://brainly.com/question/25691329

Answer:

5 points for what

Step-by-step explanation:

HeY

Answer:

2) a.   slope = 4/3

2) b.   slope = -4

Step-by-step explanation:

The slope of the line that passes through points

[tex] (x_1, y_1) [/tex]  and  [tex] (x_2, y_2) [/tex]

is m, given by the slope formula below:

[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]

2) a. (30, 32) and (18, 16)

[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]

[tex] m = \dfrac{32 - 16}{30 - 18} [/tex]

[tex] m = \dfrac{16}{12} [/tex]

[tex] m = \dfrac{4}{3} [/tex]

2) b. (4, -26) and (10, -50)

[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]

[tex] m = \dfrac{-50 - (-26)}{10 - 4} [/tex]

[tex] m = \dfrac{-24}{6} [/tex]

[tex] m = -4 [/tex]

Answer:

15435

Step-by-step explanation:

9.8*105*15=15435

Answer:

The answer is 555900

Step-by-step explanation:

-2 + 2 - 3 + 32 + 958 - 545 + 555458 = 555900

Thus, The answer is 555900

-TheUnknownScientist 72

Answer:

555900

Step-by-step explanation:

Answer: use distributive property

Step-by-step explanation:

You can see it is going up 5 and right 10. The slope would be 5/10 (or 1/2).

Since we need to go left 100 units because the x-intercept is (100,0), we will need to repeat the down 5 left 10, 10 times.

-5*10/-10*10 = -50/-100. We will go down -50 times and left -100 which would hit the y-axis. The y-intercept would be -50.

f(x) or y = 1/2x - 50

Double check your work.

y = 1/2 (100) - 50

y = 50 - 50

y = 0 √

Step-by-step explanation:

Infants may gain 5 to 7 ounces (140 to 200 grams) of weight a week and grow 1/2 to 1 inch (1.5 to 2.5 centimeters) per month from birth to 6 months. A baby's birth weight will double by the time they turn five months old.

Answer:

31/36 or as a decimal its 0.86

Answer:

k ≥ 13/5 or k ≥ 2.6 ( same thing )

Step-by-step explanation:

symbol stays the same throughout (≥)

subtract 6 from both sides of the symbol ( 13 ≥ 5k)

divide both sides by 5 (13/5  ≥ k )

your answer can be written as k ≥ 13/5 or k ≥ 2.6

Answer:

45 i think

if not 54

I'm pretty sure it's 45

hope this helped :)

[tex]\huge \bf༆ Answer ༄[/tex]

The Equivalent value is ~

Refer to attachment for solution ~

Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

Answer:

820 centimeter :3

Step-by-step explanation:

8.2 meters

move the decimal back twice because of KiloHecaDecaBase (m,l,g)DeciCentiMilli

As we know 1 meter is equal to 100 centimeters so the height of the tree 8.2 meters is equal to 820 meters

The same attribute is expressed using a unit conversion but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.

A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.

Given, The height of a tree is 8.2 meters, now we know 1 meter is equal to 100cm so to convert some quantity from meters to centimeters we multiply by 100.

∴ 8.2 meters is equal to (8.2×100) = 820 centimeters.

learn more about unit conversion here :

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Answer:

Answer:

LCD = 8

Equivalent Fractions with the LCD

3/8 = 3/8

1/2 = 4/8

Solution:

Rewriting input as fractions if necessary:

3/8, 1/2

For the denominators (8, 2) the least common multiple (LCM) is 8.

Therefore, the least common denominator (LCD) is 8.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/8 = 3/8 × 1/1 = 3/8

1/2 = 1/2 × 4/4 = 4/8

The least common denominator (LCD) is; 8.

A fraction represents a part of a number or any number of equal parts.

WE need Equivalent Fractions with the LCD;

Now Rewriting input as fractions if necessary:

3/8, 1/2

For the denominators (8, 2) the least common multiple (LCM) would be; 8.

Therefore, the least common denominator (LCD) is; 8.

To Calculate the original inputs as equivalent fractions with the LCD:

3/8 = 3/8 × 1/1 = 3/8

1/2 = 1/2 × 4/4 = 4/8

Learn more about fraction;

https://brainly.com/question/729654

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Answer:

  $50,000 in stocks

  $40,000 in bonds

  $25,000 in CDs

Step-by-step explanation:

Let c represent the amount invested in CDs. Then the amount invested in bonds is (c+15000) and the amount invested in stocks is (115000 -c -(c+15000)) = (100000 -2c). The total interest earned is ...

  0.04c +0.053(c +15000) +0.062(100,000 -2c) = 6220

  -0.031c +795 +6200 = 6220

  -0.031c = -775 . . . . . . . . . . . . . . . subtract the left-side constants

  c = 25000 . . . . . . . . . . divide by the coefficient of c

  c+15000 = 40000 . . . . bonds

  100000 -2c = 50000 . . . . . stocks

Maricopa Success invested ...

  $50,000 in stocks

  $40,000 in bonds

  $25,000 in CDs

Answer:

51

Step-by-step explanation:

98-47= 51

im bo.red so there ya go

Answer:

4th option

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 4x² - 5x + 8 +2x² + x - 2 ← collect like terms

= 6x² - 4x + 6