Answer:
sin A = 15/17
sec A = 17/8
Step-by-step explanation:
15 cot A = 8
First get cot A alone.
cot A = 8 / 15
Since cot is the reciprocal of tan then flip 15 and 8.
tan A = 15 / 8
Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem
15^2 + 8^2 = 289
= 17
Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.
sin A = 15/17
cos A = 8/17
sec A = 17/8
Answer:
10
Step-by-step explanation:
To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.
To solve for x, cross multiply:
12(x+4) = (2x+1)(8)
12x + 48 = 16x + 8
48 = 4x + 8
40 = 4x
10 = x
Answer:
.
Step-by-step explanation:
The given circle has equation .
This is the equation that has its center at the origin with radius 4 units.
When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).
The equation of a circle with center (h,k) and radius r units is .
This implies that, the translated circle will now have equation.
.
.
Answer:
The quantity of type A coffee is 73 pounds
The quantity of type B coffee is 94 pounds .
Step-by-step explanation:
Given as :
The price of Type A coffee costs = $ 5.70 per pound
The price of Type B coffee costs = $ 4.30 per pound
The total quantity of coffee does Reuben purchases = 167 pounds
The total cost of the coffee for 167 pounds = $ 820.30
Let The quantity for type A coffee = a pounds
And The quantity of type B coffee = b pounds
Now, <u>According to question</u>
a + b = 167 pounds And
$ 5.70 × a + $ 4.30 × b = $ 820.30
Now solving equations
5.70 × ( a + b ) = 5.70 × 167
or, 5.70 a + 5.70 b = 951.9
Now ,
( 5.70 a + 5.70 b ) - ( 5.70 a + 4.30 b ) = 951.9 - 820.30
or, ( 5.70 a - 5.70 a ) + ( 5.70 b - 4.30 b ) = 131.6
Or, 0 + 1.4 b = 131.6
∴ b =
I.e b = 94 pounds
Put the value of b to get a value
So, a = 167 pounds - b
Or, a = 167 - 94
∴ a = 73 pounds
Hence The quantity of type A coffee is 73 pounds
And The quantity of type B coffee is 94 pounds . Answer