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erma4kov [3.2K]
3 years ago
5

Jordan saved 4/5 of the amount he needs to buy a $90 video game. If he earns $7.75 per hour by working at a pizza shop, how many

hours does he need to work to save the rest of the money for the video game? round to the nearest hour
Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Jordan has to work 2.3 hours to have enough money for the video game.

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Which relationship in the triangle must be true?
Paul [167]

We'll assume this is an arbitrary triangle ABC.


A) No, the sines of two different angles can be whatever they want


B) sin(B)=cos(90-B)


Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.


C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.


D) Just like A, different triangle angles often have different cosines.


Answer: Choice B



7 0
3 years ago
After Myong's cylindrical birthday cake was sliced, she received the slice at right. If her birthday cake originally
Talja [164]

Answer:

97.53 in³

Step-by-step explanation:

The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.

The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.

The volume of the full cake = πr²h = π(7²)6 = 924 in³

Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:

Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³

Volume of her slice = 97.53 in³

7 0
3 years ago
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters
chubhunter [2.5K]

Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

7 0
3 years ago
From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif
Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

^nP_r=\frac{n!}{(n-r)!}, where,

n = Number of total items,  

r = Items being chosen at a time.        

For our given scenario n=12 and r=4.

^{12}P_4=\frac{12!}{(12-4)!}

^{12}P_4=\frac{12!}{8!}

^{12}P_4=\frac{12*11*10*9*8!}{8!}

^{12}P_4=12*11*10*9

^{12}P_4=11,880

Therefore, offices can be filled in 11,880 different ways.

     

   

3 0
3 years ago
Substitution method- y=-x+4 and y=3x
kumpel [21]
Substitue y=3x into the other equation to get 3x=-x+4. Solve this to get 4x=4 therefore x=1.
knowing this, y=3
5 0
3 years ago
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