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liraira [26]
2 years ago
5

What are the values of sin a and tan a, if a is an acute angle in a right triangle: cosa=15/17

Mathematics
1 answer:
LiRa [457]2 years ago
8 0
Sin A = 8/17 , Tan A = 8/15
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A. Find the slope of the line that passes through these points.
Alja [10]

slope formula :  \bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}

a.                          coordinates : (3,12) and (4,16)

\sf \rightarrow \dfrac{16-12}{4-3}

\sf \rightarrow \dfrac{4}{1}

\sf \rightarrow 4

b.                          coordinates : (1,4) and (3,12)

\sf \rightarrow \dfrac{12-4}{3-1}

\sf \rightarrow \dfrac{8}{2}

\sf \rightarrow 4

⇒ A. Yes. Both slopes are equal to 4

3 0
2 years ago
Amy has $30 to spend on snacks and beverages for herself and her friends at the movie theater. The cost for nachos was $5. The c
morpeh [17]

Amy has $30 to spend on snacks and beverages for herself and her friends at the movie theater. The cost for nachos was $5. The cost for each beverage was half the cost of the nachos

Let x be the number of nachos and y be the number of beverages

The cost for nachos was $5. So the cost of 'x' nachos = 5x

The cost for each beverage was half the cost of the nachos.

The cost of each beverage = \frac{5}{2}= 2.5

so the cost of y beverage = 2.5 y

Cost of x nachos + cost of y beverage = total amount spend

5x + 2.5y = 30

Now we find x  and y intercept

When Amy does not buy any beverages we put y=0

5x + 2.5(0) = 30

5x = 30

x= 6. The x intercept is (6,0)

When Amy does not buy any nachos we put x=0

5(0) + 2.5y = 30

2.5y = 30

y=12. The y intercept is (0,12)

The graph is attached below

(b) The graph is a straight line. From the graph we can see that when Amy does not buy any nachos then she can spend #30 to buy 12 beverages .

when Amy does not buy any beverages then she can spend #30 to buy 6 nachos.

5 0
3 years ago
4.23×10 to the third power in standard notation/4.23×10 to the third power equals 4.23 times blank equals blank
vredina [299]

9514 1404 393

Answer:

  4230

Step-by-step explanation:

  4.23×10³ = 4.23×<u>1000</u> = <u>4230</u>

6 0
3 years ago
A Square has the vertices at (-2,6) (6,1) (1,-7) (-7,-2). At what point do the diagonals of the square intercect
DerKrebs [107]

Answer: At point (-\frac{1}{2},-\frac{1}{2})

Step-by-step explanation: <u>Diagonal</u> is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) = (\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) = (\frac{-2+1}{2} ,\frac{6-7}{2})

(x,y) = (-\frac{1}{2},-\frac{1}{2} )

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point (-\frac{1}{2},-\frac{1}{2} ).

4 0
3 years ago
Cm
liberstina [14]
Total is 518.4
Lateral is 174
Hope that helped sorry if it’s wrong
6 0
3 years ago
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