Angle B=25 Angle C=90 Line segment BC=5 what is the length of CA?

Find the sine and cosine of the angle whose terminal side passes through (-7,2)

kolezko [41]

Answer:

The sine = 0.2724 and the cosine = -0.9615 to 4 decimal places.

Step-by-step explanation:

The point (-7,2) is in the second quadrant .

The sine is positive and the cosine is negative,.

The hypotenuse of the triangle in the second quadrant = √((-7)^2 + 2^2)

= √53 ( by Pythagoras), the opposite side = 2 and the adjacent side = -7.

So the sine of the angle is 2 /√53 and the cosine is -7/√53.

or 0.2724 and -0.9615 to 4 decimal places.

4 0

3 years ago

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of

Mashcka [7]

Answer:

3 inches up per foot across

Step-by-step explanation:

The rate of change:

( y2 - y1 ) / (x2 - x1) = ( 18 in - 12 in ) / ( 6 ft - 4 ft ) =

= 6 in / 2 ft = 3 in / 1 ft

8 0

3 years ago

1. Suzie had d DVDs. Her mother bought her 39 more DVDs.

Fantom [35]

Answer:

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n

Step-by-step explanation:

8 0

3 years ago

How do you turn 12/15 and 68/80 into a decimal and into a percent

Allisa [31]

$\frac{12}{15}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 3\\\\12:3=4;\ 15:3=5\\\\therefore\ \frac{12}{15}=\frac{4}{5}\\\\multiply\ a\ numerator\ and\ a\ denominator\ by\ 2\\\\4\cdot\ 2=8;\ 5\cdot2=10\\\\therefore\ \frac{12}{15}=\frac{4}{5}=\frac{8}{10}=\boxed{0.8}\Rightarrow0.8\cdot100\%=\boxed{80\%}$

$\frac{68}{80}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 4\\\\68:4=17;\ 80:4=20\\\\therefore\ \frac{68}{80}=\frac{17}{20}\\\\multiply\ a\ numerator\ and\ a\ denominator\ by\ 5\\\\17\cdot\ 5=85;\ 20\cdot5=100\\\\therefore\ \frac{68}{80}=\frac{17}{20}=\frac{85}{100}=\boxed{0.85}\Rightarrow0.85\cdot100\%=\boxed{85\%}$

7 0

3 years ago

Read 2 more answers

PLEASE HELP ASAPPPPPPPPPPPPPPP

Andru [333]

Answers:

a) -3
b) 7/3
c) -1/2
d) 1/11
e) undefined
f) 0
d) 2/3

========================================================

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

4 0

2 years ago