Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
<em>Note: I am assuming we have to determine the value of the side 'x'.</em>
Answer:
The value of x = 8.1 units
Step-by-step explanation:
<em>Note: I am assuming we have to determine the value of the side 'x'.</em>
Given
Angle Ф = 32°
To determine:
x = ?
Using the trigonometric ratio
tan Ф = opposite / adjacent
here
Ф = 32°
opposite to angle 32° = x
adjacent to angle 32° = 13
Therefore,
substituting adjacent = 13, Ф = 32°, opposite = x in the equation
tan Ф = opposite / adjacent
x = 8.1 units tan 32° = 0.62
Therefore, the value of x = 8.1 units
Answer:
4
Step-by-step explanation:
30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4
YAY
Answer:
The company should make 0 jumbo and 300 regular biscuits.
The maximum income is $42.
Step-by-step explanation:
Let's say J is the number of jumbo biscuits and R is the number of regular biscuits.
The oven can bake at most 300 biscuits. So:
J + R ≤ 300
Each jumbo biscuit uses 2 oz of flour, and each regular biscuit uses 1 oz of flour. There is 500 oz of flour available. Therefore:
2J + R ≤ 500
Income from jumbo biscuits is $0.12, and income from regular biscuits is $0.14. So the total income is:
I = 0.12J + 0.14R
Graph the two inequalities under the condition that J ≥ 0 and R ≥ 0:
desmos.com/calculator/aea00cmpwm
The region where the inequalities intersect has 4 corners:
(J, R) = (0, 0); (0, 300); (250, 0); (200, 100)
Find the income at each point:
(0, 0): I = 0
(0, 300): I = 42
(250, 0): I = 30
(200, 100): I = 38
The company makes maximum profit of $42 by baking 0 jumbo biscuits and 300 regular biscuits.
Answer:
2/3 is equal to 66.6% because
Step-by-step explanation:
1/3 is equal to 33.3%, and fractions with the same denominator are almost like multiples. So, if 1/3 is equal to 33.3%, we have to multiply that number by the number 2. 33.3% times two is equal to the number 66.6%, and therefore it is our answer.
