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3 years ago

PLS HELP

Mathematics

1 answer:

Sloan [31]3 years ago

5 0

Answer:

8√5 units.

Step-by-step explanation:

See the diagram in the coordinate plane attached.

A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.

The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).

Therefore, side length of the rhombus will be

$\sqrt{(- 1 - 3)^{2} + (- 1 - (- 3))^{2}} = \sqrt{20} = 2\sqrt{5}$ units.

So, the perimeter of the rhombus will be (4 × 2√5) units = 8√5 units. (Answer)

The distance between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ on a coordinate plane is given by

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$

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A box of candies contains only chocolates, licorice sticks, peppermints, and gummy bears. If 1/4 of the candies are chocolates,

Over [174]

Givens

Let the total number of Candies = T

1/4 T = chocolates

1/6 T = gummy bears

1/3T = peppermints

9 = Licorice Sticks.

Equation

1/4 T + 1/6T + 1/3 T + 9 = T

Solve

The Lowest common denominator on the left side is

4 = 2*2

6 = 2*3

3 = 3

LCM = one 3 two 2s

LCM = 3*2*2

LCM = 12

Change the fractions to 12ths.

$\dfrac{1*3}{4*3} =\dfrac{3}{12}$

$\dfrac{1*2}{6*2} =\dfrac{2}{12}$

$\dfrac{1*4}{4*3} =\dfrac{4}{12}$

3/12 T + 2/12 T + 4/12 T + 9 = T

(3 + 2 + 4)*T/12 + 9 = T

9/12 T + 9 = T Subtract 9/12 T from both sides.

9 = T - 9/12 T

9 = 3/12 T

9 = 1/4 T Multiply both sides by 4

T = 36

1/3 T = Peppermints

1/3 * 36 = Peppermints.

12 = Peppermints.

1/4 T = chocolates

1/4 36 = chocolates

9 = chocolates.

Answer

Product 12 * 9 = 108 <<<<<<< Answer

The product of chocolates and Peppermints = 108

3 0

3 years ago

Find the diameter of the circle whose area is 2464 cm²<br>with explanation.

stepan [7]

Answer:

d≈56.01cm

A Area

2464

cm²

Using the formulas

A=πr2

d=2r

Solving ford

d=2A

π=2·2464

π≈56.01127cm

Step-by-step explanation:

7 0

2 years ago

PLEASE HELP THIS IS MY FINAL EXAM FOR ALGEBRA

9966 [12]

Answer:

The answer is 1,300 people

7 0

3 years ago

Liz earns a salary of $2,200 per month, plus a commission of 3% of her sales. She wants to earn at least $2,800 this month. Ente

vagabundo [1.1K]

Answer:

The amount of sales in order to meet her goal must be greater than or equal to $20,000

Step-by-step explanation:

Let

x----> represent the amount of sales Liz will need

we know that

The amount of sales for the month multiplied by the commission rate as a decimal plus the fixed amount must be greater than or equal to $2,800 each month

The inequality that represent this situation is

$0.03x+2,200\geq 2,800$

solve for x

subtract 2,200 both sides

$0.03x \geq 2,800-2,200$

$0.03x \geq 600$

divide by 0.03 both sides

$x \geq \$20,000$

The amount of sales in order to meet her goal must be greater than or equal to $20,000

8 0

4 years ago

A bicycle store costs $3500 per month to operate. The store pays an average of $75 per bike. The average selling price of each

vfiekz [6]

Answer: the store needs to sell 50 bicycles each month to break even

Step-by-step explanation:

The average selling price of each bicycle is $145.

When we talk of break even, we are referring to the point at which the income being accrued from a business is equal to the total cost of running the business. At this point, their is no profit and there is no loss.

From the example information given,

Total cost of running the business will be

cost of operating the bicycle store + the total amount the store pays per bike.

cost of operating the bicycle store

= $3500 per month

The store pays an average of $75 per bicycle. If the store buys x bicycles per month, then,

Total the total amount the store pays per bike = 75 × x = 75x

Total cost of running the business per month

= 3500 + 75x - - - - - - -1

The average selling price of each bicycle is $145. This means that the selling price for x bicycles will be

145 × x = 145x

Therefore , total income is $145x

To break even,

145x = 3500 + 75x

145x - 75x = 3500

70x = 3500

x = 3500 / 70 = 50

8 0

3 years ago