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elena-s [515]
3 years ago
8

Andrea and her friends love cake. Andrea has 2 cakes.Each of her friends are going to eat 2\3 of a cake how many servings of cak

e does Andrea have
Mathematics
2 answers:
liubo4ka [24]3 years ago
6 0
Each friend gets 3 servings
Anni [7]3 years ago
3 0
If Andrea has 2 cakes, and her friends are eating two thirds of one of her cakes, that is going to leave her with 1 and 1/3 cakes.
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The measure of angle A is 15°, and the length of side
dangina [55]

Answer:

Part 1) AB=30.9\ units

Part 2) AC=29.9\ units

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

sin(A)=\frac{BC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(15^o)=\frac{8}{AB}

solve for AB

AB=\frac{8}{sin(15^o)}=30.9\ units

Part 2

Find the length side AC

we know that

tan(A)=\frac{BC}{AC} ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(15^o)=\frac{8}{AC}

solve for AC

AC=\frac{8}{tan(15^o)}=29.9\ units

8 0
3 years ago
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round
TEA [102]
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:

</span>\frac{13}{sin90^o}= \frac{12}{sin \alpha }   \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}=  \frac{12*1}{13}  \approx 0.923 \ \ \to \ m\angle  \alpha \approx 67^o

In a triangle, the three interior angles always add to 180° ⇒

third angle = 180 - 90 - 67 = 23°

Answer:
67° and 23°  (to the nearest degree).
4 0
3 years ago
Read 2 more answers
. How many servings are there in 22.5 ounces of trail mix?
olga_2 [115]

Answer:

9 ounces

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Imagine you are filling up a water jug and the water is coming in at rate of 2 liters per 25 seconds. At this rate, how much wat
Zinaida [17]

The answer is 10.8  liters of water

Hope this helps!

4 0
3 years ago
Point T is located at (6, –2) and point S is located at (1, 13). What are the coordinates of the point that is 4/5 of the way fr
Darya [45]

Answer:

(2, 10)

Step-by-step explanation:

Making the points on a graph and creating a line between them, you can see the equation to connect the two points is -3x + 16. Then, because the points are 5 units apart horizontally, go to the point that is 4 units left of point T (1/4 of the way between T and S) and that is your point: (2, 10)

I apologize if this is incorrect :)

7 0
3 years ago
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