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kvasek [131]
3 years ago
11

Area of the rhombus shown below?

Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} product of diagonals

Here AC = 13 and BD = 15 are the diagonals, hence

A = 0.5 × 13 × 15 = 97.5 units² → A

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Which is the graph of y = 5x + 5?
alexandr1967 [171]

Answer:

B

Step-by-step explanation:

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lesya [120]

Answer:

63=7  80=8 52=7 112=10 864=29 396=19 800=28 7200=84

Step-by-step explanation:

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4 0
3 years ago
Identify an equation in point slope form for the line parallel to y=1/2x-7 that passes through (-3,-2)
ANTONII [103]

Answer:

Step-by-step explanation:

The point slope form of a straight line is expressed as

y - y1 = m(x - x1)

Where

m represents slope of the line

y1 represents the initial value of y

x1 represents the initial value of x

If two lines are parallel, it means that they have the same slope. From the equation of the given line, slope = 1/2

Therefore,

m = 1/2

x1 = - 3

y1 = - 2

Substituting into the point slope equation, it becomes

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

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

The equation is

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

4 0
3 years ago
The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2
MrRa [10]

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B  =   8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in  glass B  be x

then

\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}

Substituting the values ,

\frac{8}{3} \times x  = \frac{7}{2} \times 320

\frac{8}{3} \times x  = \frac{2240}{2}

\frac{8}{3} \times x  = 1120

x  = 1120 \times \frac{3}{8}

x  = \frac{3360}{8}

x = 420

Now  total volume of soda in the two glasses

=> volume of soda in glass A + volume of soda in glass B

=> 320 + 420

=>740mL

5 0
3 years ago
Elena is making a grape drink. the recipe calls for 2 parts grape juice concentrate to 6 parts water. elena would like to make 8
SashulF [63]

Answer: 20 oz of juice concentrate and 60 oz of water.


Explanation:


Translate the word statements into algebraic expressions to set a system of equations that you can solve.


1) Name the variables:

  • j: parts of juice concentrate
  • w: parts of water

2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:

    j / w = 2 / 6


3) Statement two, 80 oz of the drink, tanslates into an equality:

     j + w = 80

4) Solve the system to find how many oz of juice concentrate and water Elena needs:

a) System:

                 j / w = 2 / 6

                 j + w = 80

b) Solve for w in the first equation: w = 6j / 2 = 3j

c) Substitute w in the second equation: j + 3j = 80

d) Combine like terms: 4j = 80

e) Use division property of equality: j = 20

f) Substitue in w = 3j: 3 = 3(20) = 60.


5) Solution: j = 20, w = 60.


6) Verify:

  • j / w = 20 / 60 = 2 / 6 ⇒ right
  • j + w = 20 + 60 = 80 ⇒ right
6 0
3 years ago
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