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enot [183]
3 years ago
8

The diagonals of a parallelogram are 2.3cm and 3.2cm long. Can you tell if the parallelogram is a rhombus? Explain how you know.

Mathematics
1 answer:
faust18 [17]3 years ago
5 0
If it's a rhombus, then the diagonals are equal. <span />
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During scuba lessons, Sue dove 30 feet, Harriet dove 120 feet, and Kathy dove 90 feet.What integers represent these depths? Orde
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120, 90, 30 if you're going from the depths of the water to water level
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In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to th
Allushta [10]

Answer:

9 i think

Step-by-step explanation:

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3 years ago
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How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
statuscvo [17]

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C</em>".

Using the law of sines we have:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

\frac{sin(113)}{15} = \frac{sin(B)}{8}

Solving for B, we have:

sin(B)=0.4909

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

7 0
3 years ago
Kayla makes $8.30 an hour working at a clothing store. She is scheduled to get a 15% raise. Which expression can be used to calc
weqwewe [10]

Answer: her increase is 1.245 dollars an hour

Step-by-step explanation:

7 0
3 years ago
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Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogeth
Airida [17]

Answer:

£480

Step-by-step explanation:

we can multiply both terms of ratio with same number without changing the ratio.

Example

a:b = ax: bx (here we have multiplied both terms with x)\

Given

Stevie and Michael share their profit in a ratio 3:5

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

3x = 120 + 5x

3x-5x = 120

=> -2x = 120

=> x= -120/2 = -60

As we see profit is negative , hence it cannot be solution.

It can be solved if Stevie and Michael share their profit in a ratio 5:3

(note: in ratio , bigger number should have bigger term in ratio)

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

5x = 120 + 3x

5x-xx = 120

=> 2x = 120

=> x= x120/2 = 60

Profit for stevei = 5x =5*60 = 300

Profit for Michael = 3x = 3*60 = 180

Total profit for them together = 300 + 180 = 480 Answer.

8 0
3 years ago
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