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AveGali [126]
3 years ago
9

Please help asap pre alg

Mathematics
1 answer:
algol [13]3 years ago
5 0

Answer:

the answer is c there bud

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Let A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}. What is A ∩ B?
Alekssandra [29.7K]

A ∩ B  is the set that contains elements common to set A and set B.

here its  {10 40 60}  

8 0
3 years ago
A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air
Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ

Next, we determine the value of Angle B.

\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ

Finally, we find b.

\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)

The distance between the small plane and the observation tower is 7.9km.

8 0
3 years ago
The answer and all the work that goes along with it
svp [43]
Www,mathpapa.com      type in the calculator and it gives you the full answer including the graph.

6 0
3 years ago
The dimensions of Amy’s rectangular garden are 15 feet by 12 feet. Amy wants to buy flowers to improve the appearance of her gar
ser-zykov [4K]

Answer:

  $50.40

Step-by-step explanation:

The garden has an area of ...

  (15 ft)(12 ft) = 180 ft²

Amy wants to cover 1/4 of that with flowers, so the area devoted to flowers is ...

  (1/4)(180 ft²) = 45 ft²

The cost for each square foot is $1.12, so the cost of the flowers will be ...

  ($1.12/ft²) × 45 ft² = $50.40 . . . . cost to cover 1/4 of the garden with flowers

4 0
3 years ago
Read 2 more answers
Solve this problem???​
Svetllana [295]

The denominator of the first term is a difference of squares, such that

4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

8 0
3 years ago
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