Answer:
d. 50°
Step-by-step explanation:
Since you know one angle and its opposite side, use the law of sines.
sin 36°/11.9 = sin D/15.6
sin D = 15.6 × sin 36° / 11.9
sin D = =0.7705
D = sin^-1 0.7705
D = 50.4°
9514 1404 393
Answer:
-160
Step-by-step explanation:
-15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160
The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.
Answer:
Division
Step-by-step explanation:
You divided both sides of the inequality by -3. Multiplying/dividing by negative numbers change the sign of the inequality, so you have ">" turned into "<".
Diagram of two triangles
The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).
The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.
Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.
Word Problen
The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

Standard form of Pythagorean theorem.

Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>

Square the legs and add.


Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.
Thus the diagonal distance is 29 blocks.
Check by substituting.
Answer:
Option c
Step-by-step explanation:
3/4 multiplied by 16/5
3/4×16/5
12/5
Option c is correct
The product between 3/4 and 16/5