Answer:
Elements of the set: 9,10,11,12,13,14,15
Cardinality of the set: 7
Step-by-step explanation:
Firstly the set describes that A contains the values of k which are positive integers only.
Secondly it limits the values of k to be between 8 and 16, exclusive of both upper and lower limits.
Therefore we list all positive integers between 8 and 16 i.e. 9,10,11,12,13,14,15
Finally, we count the numbers of elements in the set which is also known as cardinality of the set i.e. 7 for our given set.
$6.20.
2/3=.6666666667
Multiple 9.30 by .6666666667 and you will get the 2/3 cost of the pizza.
From the given triangle in the photo, the lengths of the sides are 3m and a, the hypotenuse is c. One angle, opposite of 3m is given to be 50 degrees C. The right equation that would solve c is,
sin (50 degrees C) = 3m / c
Thus, the answer is the first choice.
Answer: Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
Step-by-step explanation: <em>Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
</em>
<em>
</em>
<em>Then divide the total number of cookies by the number of guests: 84 21 = 4. Each person would get 4 cookies.</em>
<em>
</em>
<em>This process can be modeled by the expressions 28(3) ÷ 21 and </em>
<em>28(3)
</em>
<em>21
</em>
<em>. This is because the fraction bar represents division.</em>
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
