Answer:
Step-by-step explanation:
Part 1.
The sine of an angle is defined as; Opposite side/the Hypotenuse. From the right angle triangle given; sin x =5/13.
The cosine of an angle is defined as; Adjacent side/Hypotenuse. From the right angle triangle given; cos x =12/13.
The tangent of an angle is defined as; Opposite side/Adjacent side. From the right angle triangle given; tan x =5/12.
Part 2.
We use the same definitions of the trigonometric ratios above;
sin y =12/13
cos y =5/13
tan y =12/5
Part 3.
The sin∠X and the cos∠Y are equal, their value is 5/13. The sine of angle is always equal to the cosine of its complement. In this case, ∠X+∠Y =90 hence ∠X is a complement of ∠Y.
Part 4.
The tangents of ∠X and ∠Y are inverses of each other. The tangent of an angle will always be equal to the inverse or reciprocal of the tangent of its complement.
Answer:
<h2><em><u>80</u></em><em><u>%</u></em>.</h2>
Step-by-step explanation:
<em><u>Since</u></em><em><u>,</u></em>
Any number if divided by hundred then that no. is known as a <em><u>percentage</u></em>.
<em><u>Here</u></em><em><u>,</u></em>
<em><u>80</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>divided</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>100</u></em><em><u> </u></em><em><u>i</u></em><em><u>. </u></em><em><u>e</u></em><em><u>.</u></em>
80 / 100
= <em><u>80% (Ans)</u></em>
Answer:
10,935
Step-by-step explanation:
lvl 1: 15 x 3=45
lvl 2: 45 x 3=135
lvl 3: 135 x 3=405
lvl 4: 405 x 3=1215
lvl 5: 1215 x 3=3645
finally lvl 6: 3645 x 3=10,935
Answer:
The standard form of a quadratic equation is ax2+bx+c=0, where a,b and c are real numbers and a≠0.
Answer:
c. 6 cups
Step-by-step explanation:
The proportion is 1 cup of sugar for 1 dozen cookies (1/1). So if you multiply the denominator by 6 you must multiply the numerator by 6, and 6*1=6. Therefore you need 6 cups of sugar to make 6 dozen cookies.