Two sides of a parallelogram are 44 feet and 50 feet. The measure of the angle
between these sides is 97º. Find the area of the parallelogram to the nearest square foot.

Answer:

1) y = 3/5x + 8

2) Slope: 10

   y-intercept: -1/3

3) y = -1/2x - 1

Step-by-step explanation:

1) The equation you need to refer to for this problem is y = mx+b

m = slope (3/5 for this problem)

b = y-intercept(which is 8)

plug those numbers in and you get y = 3/5x + 8

2) look back at this equation: y = mx+b

10 is the slope and -1/3 is the y-intercept

3) This one is a bit more difficult as you need two other formulas to solve:

the slope formula, y1 - y2/x1 - x2, and the point-slope formula,

y - y1 = m(x - x1)

For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:

-3 -(-4)/4 - 6 = -1/2

the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.

-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)

To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:

(keep in mind, for this, I used (4,-3) but you can use either one)

y -(-3) = -1/2(x - 4)

To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:

y -(-3) = -1/2x + 2

Then, on the other side, add the to negatives to get a positive 3:

y + 3 = -1/2x + 2

and subtract 3 from both sides:

y = -1/2x - 1

I hope this isn't too confusing

good luck!

Answer:

a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Find out how many boys makeup the class.

100% = 40

1% = 40 ÷ 100 = 0.40

40% = 0.40 x 40 = 16

Find 25% of the class.

25% = 0.40 x 25 = 10

40 - 25 = 15% of the boys wear shirt jacs.

16 - 10 = 6

Answer:3/2

Step-by-step explanation:

Answer:

$16080

Step-by-step explanation:

Given data

Wholesale price = $12,000

Profit = 34%

Let us find 34% of $12,000

=34/100*12000

=0.34*12000

=$4080

Hence the markup price is $4080

And the retail price is

=4080+12000

=$16080

Answer:

A

Step-by-step explanation:

Because if your going to divide a whole the whole number needs to be 3/1 so it A the mistake

Answer:

A.) Step 1

Step-by-step explanation:

The actual answer is g=4.

Trevor screwed up at Step 1.

His answer (g = 4/9) to Step 1 (g/3 ⋅ 3 = 4/3 ⋅ 1/3 ) is correct, but it's not the correct answer for g/3 = 4/3.

In Step 1, Trevor's equation was accurate, until the last number (1/3).

If he had flipped 1/3 to 3/1, he would've been correct.

g/3 ⋅ 3 = 4/3 ⋅ 1/3 ← MISTAKE.

Hope this helps out your pet ra- I mean sister.

the answer is B 87.5

Answer:

35

Step-by-step explanation:

1kg= 1000g

1 hectare = 10 000 m²

1 kg/hct = 1000/10 000 g/m²

1 kg/hct = 1 / 10 g/m²

350 kg per hectare is equal to 350 / 10 = 35 g/m²

Answer:

1.2

Step-by-step explanation:

So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.

hope this helps :)

Answer:  

E and B

Step-by-step explanation:

Answer:

Y= 9x/2 -5

Step-by-step explanation:

is that what you needed help on?

Answer:

can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.

The total time that the car will take to cover the trip would be {x}/35 hours.

Distance in kinematics is defined as the product of speed and time.

Mathematically, we can write distance covered as -

distance = speed x time

Given to find the time duration of trip if the car is travelling at 35 miles per hour.

Assume that the total distance that has to be travelled by the car is {x}

miles. From the formula of distance covered, we can write that -

distance = speed x time

time = distance/speed

time = x/35

Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.

To solve more questions on distance covered, visit the link-

https://brainly.com/question/20271103

#SPJ2

Answer:

720 feet, 1920 inches

Step-by-step explanation:

The formula for Volume is Length x Width x Height, which is 10 x 12 x 6 which is equal to 720 feet, and 1920 inches!

Answer:

A.

1.

125

2.

47.5

B.

30

Exp.:

A.

1. (60x100)/48

2. 57/ 120(fraction)  x 100% = 47.5%

B.  (24×100)÷80

Answer:

y = 2.50x + 20 ( the 2nd option)

Answer:

the percentage is 5.56%

Step-by-step explanation:

The computation of the percentage that the tom should decrease is shown below:

As Doctor said tom to reduce 15 pounds

As of now the tom has 285 pounds

So after considering the 15 pounds, it would be

= 285 - 15

= 270 pounds

Now the percentage that should be considered is

= (285 - 270) ÷ (270)

= 5.56%

Hence, the percentage is 5.56%

Answer:

A

Step-by-step explanation:

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

Answer:

C. 60°

Step-by-step explanation:

because all angles in a triangle sum up to 180°

60°+60°+60°=180°

Answer:

45

Step-by-step explanation:

98+37=135

180-135=45

Answer:

4

Step-by-step explanation:

1. AB:BC is 1:2

2. Add the 1 and the 2

(3)

3. Find the distance between -7 and 26

26-(-7) = 33

4. Divide the distance by 3

33/3 = 11

5. Find the distance from A---->B

-7 + 11 = 4

Answer:

B. The coefficients of a polynomial

Step-by-step explanation:

The correct answer is - B. The coefficients of a polynomial

Reason -

Pascal's triangle is a triangular array constructed by summing adjacent elements in preceding rows. Pascal's triangle contains the values of the binomial coefficient.

Answer:

Step-by-step explanation:

25 - 32 = -7  and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

[tex]a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}[/tex]

Answer:

Area of the shaded portion = (120π + 36√3)sq. m

Step-by-step explanation:

Area of the shaded region = Area of circle - Area of triangle

Given

radius of the circle = 12m

Area of the circle = πr²

Area of the circle  = π(12)²

Area of the circle  = 144π m²

Area of the sector = theta/360 * πr²

Area of the sector =  60/360 * 12²π

Area of the sector = 60/360 * 144π  = 24π

Area of the triangle = 1/2 bh

Area of the triangle = 1/2 (12cos30)(12)

Area of the triangle = 36√3

Area of the shaded portion = (144π - 24π + 36√3)sq. m

Area of the shaded portion = (120π + 36√3)sq. m

Answer:

El primer número es 10.

z = 45.

La edad de Jaime es de 3 años.

Step-by-step explanation:

Estos problemas los podemos resolver planteando las ecuaciones:

El triple del número (3X) + 9 veces el mismo número (9X) = 120

3X + 9X = 120

12X = 120

X = 120 / 12

X = 10

La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3

z/15 = 3

6Jaime + 18 = 36

6Jaime = 18

Jaime = 3

Answer:

Not sure if its right

Step-by-step explanation:

A+B=118°

(5x+8)°=118°

13x°=118°

13x/13=118/13

x=9.07

Answer:

the height is 9

Explanation:

8 × 10 = 80

720 ÷ 80 = 9