Using the defects method, which of these relationships represents the law of cosines if the measure of the included angle between the sides a and b of ∆abc is more than 90°? a. area of square c2 = -area of square a2 − area of squareb2 area of defect1 area of defect2 b. area of square c2 = area of square a2 area of squareb2 area of defect1 − area of defect2 c. area of square c2 = area of square a2 area of squareb2 − area of defect1 − area of defect2 d. area of square c2 = area of square a2 area of squareb2 area of defect1 area of defect2 e. area of square c2 = area of square a2 − area of squareb2 area of defect1 − area of defect2

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

Answer:

here u go !! <3

Part 1:

1. 18 - [(15 - 9 + 4] - 2 = 6

2. 6² - [3² + (3 + 12)] = 12

3. 21 - [(2 × 4) + 2 + 5] = 6

4. [(17 - 10) + 4] + 5² = 36

5. 36 ÷ 6 + [(5 × 3) + (13 - 6) + 10] = 38

Part 2:

6. 15 ÷ 3 × 5 - 16 = c. 9

7. 2 [5 + (30 ÷ 6)²] = d. 60

8. [3² × 4] - [6 + 4²] = b. 14

9. 8 [6² - 3 × (2 + 5) - 8 + 3] = e. 80

10. 15 - {27 - 2 × [33 - 4 × (5 + 1)]} = a. 6

Answer:

(1 )14

(2) 45

(3) 20

(4) 36

(5)121

(6) 6

(7)9

(8) 14

(9)80

(10)60

Answer:

511054077591

Step-by-step explanation:

Answer:

511,054,077,591

Step-by-step explanation:

Is this an actual question tho?

Answer:

4.30000x(1+3%)x10%=$3090

5. 20x1.5x2.1=63

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D. 81

Step-by-step explanation:

Raise  

3

to the power of  

4

.

81

=

x

Rewrite the equation as  

x

=

81

.

x

=

81

Answer:

The answer is A (y = 2x - 2)

Step-by-step explanation:

B and D aren't correct because the y-intercept is a positive 2 instead of negative 2 like the graph shown. We're now left with A and C. Go on one point of the graph and count up or down to go on the same y value as the other point. Go left or right and count until you go to the same point. Remember that the slope equation is rise/run. Rise meaning up or down. Run meaning left or right.

Answer:

y = -x+2

Step-by-step explanation:

For first one

Answer:

a. S = 3n + 2

b. There while be 62 squares.

Step-by-step explanation:

We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?

8 - 5 = 3

11 - 8 = 3

14 - 11 = 3

We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.

To find the 20th term of this sequence, substitute n for 20 and do the operations.

S = 3(20) + 2

Multiply 3 by 20, then add 2.

S = 62

The 20th term will have 62 squares.

Answer:

d

Step-by-step explanation:

i got an 100 on the test :)

Answer: ,GJHGFHJGJH HJGLHGLKG HKLGKL G LKJKJLGKJGKGKJKKJ K

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The correct answer is A)

Step-by-step explanation:

Answer:

point U

Step-by-step explanation:

I learned this before

Hope this helps

9514 1404 393

Answer:

  70 m

Step-by-step explanation:

Perhaps you want to evaluate the expression:

  [tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]

__

There are 100 cm in 1 m. The units of yr cancel.

Answer:

22×4=88÷2=44+121=165

Answer:

±1

±1/2

±1/11

±1/22

±11

±11/2

±121

±121/2

Answer:

-8a(a-5)

Step-by-step explanation:

-8a^2+40a

-8a(a-5)

Answer:

a. yes there is a proportional relationship

b. I believe the constant is -3

1 9/26

Then your initial equation becomes:

7/2÷13/5

=7×5

 2×13

=35/26

       35/26=1 9/26

Answer:

1 [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

Given

3 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{5}[/tex] ← change mixed numbers to improper fractions

= [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{13}{5}[/tex]

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{13}[/tex] ← multiply numerators/ denominators together

= [tex]\frac{35}{26}[/tex]

= 1 [tex]\frac{9}{26}[/tex]

i have attached a image which may help u <3

Answer:

= -3h + 2.3k -7

Step-by-step explanation:

you want to distribute your negative to each value in parentheses

remember that negative x negative = positive

remember that negative x positive = negative

Answer:

Step-by-step explanation:

Given the following values a=−15 and b=−5.

We are to find a/b

a/b = -15/-5

a/b = 15/3

a/b = 5*3/5*1

a/b = 5/5 * 3

a/b = 1*3

a/b = 3

Hence a divided b will be 3

Answer:

7 meters long

Step-by-step explanation:

Answer:

2x+7= 3x-10

17=x

Step-by-step explanation:

The question is incomplete. Here is the complete question.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)

B(3, 3) and D(3, −2)

B(2, 3) and D(2, −2)

B(1, 2) and D(1, −3)

Answer: B(1, 3) and D(1, -2)

Step-by-step explanation: Area of a rectangle is the multiplication of its width and its length.

The rectangle to be has length, or distance from point A to point C, of 5 units.

For the area to be 20, width has to be 4.

Point B will be 4 units to the right of point A, which means:

[tex]x_{B}=x_{A}+4[/tex]

Point A has coordinates ( -3, 3), then:

[tex]x_{B}=-3+4[/tex]

[tex]x_{B}=1[/tex]

Because the points is "moved" to the right, instead of up or down, y-coordinate stays the same:

[tex]y_{B}=y_{A}[/tex]

[tex]y_{B}=3[/tex]

Point D will be 4 units to the right of point C:

[tex]x_{D}=x_{C}+4[/tex]

Coordinates of point C are ( -3, -2):

[tex]x_{D}=-3+4[/tex]

[tex]x_{D}=1[/tex]

Because a rectangle has a pair of sides parallel to each other, D's y-coordinate will also be the same:

[tex]y_{D}=y_{C}[/tex]

[tex]y_{D}=-2[/tex]

Coordinates of points B and D that makes rectangle ABCD have area of 20 square units are (1, 3) and (1, -2), respectively.

Answer:

About 1,130.4 Cubic Feet

(My previous answer was a mistake. It has now been corrected)

Step-by-step explanation:

The Volume of a cylinder = Height * Pi * Radius^2

The radius is half the diameter, so 12 ÷ 2 = 6

Pi rounded to the hundredth place is 3.14.

Volume = 10 * 3.14 * 6^2 = 1,130.4

Therefore the Volume is about 1,130.4 cubic feet.

Answer:

Exact Volume = 360pi  cubic feet

Approximate Volume = 1130.4  cubic feet

The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.

===========================================================

Explanation:

The volume of a cylinder is found by the formula

V = pi*r^2*h

where,

So,

V = pi*r^2*h

V = pi*6^2*10

V = pi*36*10

V = pi*360

V = 360pi  ........... exact volume in terms of pi

V = 360*3.14

V = 1130.4 ......... approximate volume if you use pi = 3.14

The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).

Answer:

500

Step-by-step explanation:

40×100÷8=500

Number 40 is 8 percent of 500.

The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition to the shorthand "pct," which is used less frequently, the symbol "%" is used to indicate that a number is a percentage.

Let the unknown number be "x" whose 8% is 40.

Hence,

8% of x = 40

1% of x = 40/8 = 5

Thus, the value of x = 500

Therefore, 8 percent of 500 if 40.

Learn more about percentages here:

https://brainly.com/question/29116686

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