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IgorC [24]
3 years ago
9

Round 51.78 to the greatest place

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

Step-by-step explanation:

51.78 is rounded up to 52

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The letters 's', 't', 'u', 'd', 'y', 'i', 's', 'l', 'a', 'n', 'd' are placed in a bag. one letter is randomly selected from the
Aleks [24]

Answer:

<em><u>7/11</u></em>

Step-by-step explanation:

There are 11 letters in 'S', 'T', 'U', 'D', 'Y', 'I', 'S', 'L', 'A', 'N', 'D', so there are 11 letters in the bag.

There are 7 consonants in the bag.

So, the probability of selecting a consonant is 7 out of 11, or 7/11

3 0
3 years ago
3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
Katen [24]

Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

V=\frac{1}{3}\pi r^{2}h

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

5 0
4 years ago
Michaela spent 5/6 of an hour reading on each of 3 days this week. She spent 3/4 of an hour on each of 2 days this week doing sc
Kay [80]
5/6 of an hour is 50 min. So 50 times 3 equals 150 min for reading. 3/4 of an hour is 45 min. 45 times 2 equals 90 min for science. And 1/2 of an hour is 30 min. So 30 times 4 equals 120 mins for math. Add 150,90, and 120 min all together and you get 360 mins total. Divide 360 by 60, and you get 6 hours total that Michaela spent on reading, math, and science. Not 2 1/2.
7 0
3 years ago
Math question quadratics
denpristay [2]

Answer: The length and width are 50 and 30 meters (or 30 and 50 meters).

Step-by-step explanation:

To solve this question, we can represent variables for the length and width in two equations.

2l + 2w = 160\\\\l * w= 1500

To solve for one of the variables, you'll have to substitute one of the variables, so solve for one of them:

2l = 160 - 2w\\l = 80 - w

(80-w)*w=1500\\\\-w^2 + 80w - 1500 = 0\\\\w^2 - 80w + 1500 = 0

Now, we have a standard quadratic equation that we can factor. When factoring, you'll get this:

(w-50)(w-30) = 0

This tells us that the width could be either 50 or 30.

Substitute 50 into one of the equations to find the length:

2 (l) + 100 = 160

l = 30.

The length and width are 50 and 30 meters (or 30 and 50 meters).

4 0
3 years ago
Read 2 more answers
Start time: 9:38 A.M.<br> Elapsed time: 5 hr 18 min<br> What is the ending time
kondor19780726 [428]
All we have to do is first, add 5 Hours to 9:38. This takes us so 2:38 PM. Then we add the 18 minutes, giving us 2:56 PM. The ending time is 2:38 PM.
6 0
3 years ago
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