Simplify the radical expression -2√2p*2√22

If you have 16 cups of sugar , 2 cups of sugar for every batch of cookies , but you have to save 6 cups of sugar for something e

sesenic [268]

The first step we want to take here is to subtract 6 cups of sugar since we'll need it for something else, leaving us with 10 cups of sugar. It takes 2 cups of sugar for every batch of cookies, so you're going to divide 10 by 2. Luckily, 2 is a multiple of 10 so it's a whole number. By dividing, we get 5. So, we can make 5 batches of cookies while still saving 6 cups of sugar for something else.

8 0

3 years ago

Two sides of a triangle have measures 3 ft. and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Tanya [424]

Answer:

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c = 27ft

Step-by-step explanation:

Since the angle is located in between the sides of the sides, we will use the cosine rule to get the unknown sides

Let c be the missing sides

According to the cosine rule;

c² = a²+ b² - 2abcosC

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c² = 9 + 36 - 36cos60

c² = 45 - 36cos60

c² = 45 - 36(0.5)

c² = 45 - 18

c² = 27ft

Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60

8 0

3 years ago

You have an aquarium in the shape of a rectangular prism. The base is 4 feet by 3 feet. The height is 2 feet. How many square fe

fiasKO [112]

Since it is about only the outer part of the aquarium which is made of glasses we need to calculate the total surface area.

Surface area of the base = 4*3 = 12 square feet

Surface area of the shorter length of wall = 3*2 = 6 square feet
since it has another wall in opposite side. It has to be multiplied with 2.
6*2 = 12 square feet

Surface area of the longer length of wall = 4*2 = 8 square feet
since it has another wall in opposite side. It has to be multiplied with 2.
8*2 = 16 square feet

Therefore the total surface area that need to be covered with glasses
12+12+16 = 40 square feet

6 0

3 years ago

A rectangular shoebox has a volume of 85 cubic inches. The base of the shoebox measures 2 inches by 2.5 inches. How long is the

Kisachek [45]

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two mea

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

vide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14Okay to solve this you need to divide the volume to the two measurements

728 ÷ 8 = 91 ÷ 6.5 = 14

5 0

3 years ago

80 into a ratio of 3:2

mixas84 [53]

3+2 = 5 80/5 =16 16 x 3 = 48 16 x 2 = 32 Answer= 48:32 I think this is right

6 0

4 years ago

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