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2 years ago

The news reported that inflation will rise

Mathematics

1 answer:

statuscvo [17]2 years ago

4 0

Answer:

$1,500

Step-by-step explanation:

A 2.5% increase in the $60,000 average family income would be required:

0.025 × $60,000 = $1,500

Your annual income would have to increase by $1,500.

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The function f(x) = is translated up 4 units. Which equation represents the translated function?

kkurt [141]

Answer:

The translated function can be written as:

y = f(x) + 4

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Write an expression to find the greatest difference:

Bumek [7]

Answer:

Try Khan Academy. They give lots of expression to find the greatest difference. It always helps me in this situation.

Step-by-step explanation:

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2 years ago

Out of seniors at a local high school, 60% went on the senior trip. At the hotel , one room was reserved for every 4 students .

sweet [91]

Answer:

<u>Number of rooms reserved for the students are - 90 .</u>

Step-by-step explanation:

Firstly ,

As we know 60% of the 600 students went on the trip,

Then ,

Number of students went on the trip = 60% of 600

= $\frac{60}{100}\times600$

= 360

Now ,

Given - One room is reserved for 4 students ,

Therefore , Number of rooms for 360 students = $\frac{360}{4}$

= 90

<u>Hence , the answer is 90 rooms reserved for the students.</u>

7 0

2 years ago

I'm having a hard time with this question so someone help please

bulgar [2K]

Answer:

7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0

1 year ago