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4 years ago

Match each situation to its corresponding equation

Mathematics

1 answer:

Nitella [24]4 years ago

7 0

First pair goes to f(x) = 20x
Next pair goes to f(x) = 10x + 20
Third pair goes to f(x) = 10x + 25
Last pair goes to f(x) = 20x + 10

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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

KiRa [710]

In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

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2 years ago

28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative chan

yaroslaw [1]

A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.

Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,

Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%

Hence, the relative change from last year to this year is 3.7%.

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2 years ago

Find n for the arithmetic sequence for which sn=345, u1=12 and d = 5 .

liq [111]

Answer:

n = 10

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 and $S_{n}$ = 345, thus

$\frac{n}{2}$ [ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )

n( 24 + 5n - 5) = 690 ← distribute and simplify left side

n(19 + 5n) = 690

19n + 5n² = 690 ( subtract 690 from both sides )

5n² + 19n - 690 = 0 ← in standard form

(5n + 69)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - $\frac{69}{5}$

n - 10 = 0 ⇒ n = 10

However, n > 0 , thus n = 10

6 0

3 years ago

Plz answer 19. And 20. Until Friday it's DUE FRIDAY.

erica [24]

Find the volume of the first box which is l*w*h and second box which is also l*w*h and add them. (6*4*5) + (10*10*2)

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3 years ago

Where would the circumcenter of a circle be found?

Kobotan [32]

The answer would be (b)

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3 years ago