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professor190 [17]

2 years ago

13

20 out of 50 rolls of a number cube resulted in a 2 being rolled.Based on this imformation, if the cube was rolled 220 times,how

many rolls of 2 would be expected

1 answer:

jolli1 [7]2 years ago

3 0

Answer:

88 rolls of 2.

Step-by-step explanation:

By proportion that would be 220 * 20/50

= 220 * 0.4

= 88.

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The perimeter of parallelogram ABCD is 72cm. AD is 3cm more than twice AB. Find the lengths of all four sides of ABCD

GarryVolchara [31]

Answer:

AB=11, DC=11, AD=25, BC=25

Step-by-step explanation:

Opposite sides of parallelograms are congruent.

x+x+2x+3+2x+3=72

6x+6=72

6x=66

x=11

2(11)+3 = 25

6 0

2 years ago

Members of the swim team want to wash their hair. The bathroom has less than 5600 liters of water and at most 2.5 liters of sham

nordsb [41]

Answer:

Yes, the bathroom has enough water and shampoo for all of them.

Step-by-step explanation:

70L+ 60S < 5600

Putting 8 into L and 7 into S, gives:

70(8) + 60(7) = 560 + 420 = 980

That is definitely less than 5600, so water is OK.

Now,

0.02L + 0.01S

Putting 8 into L and 7 into S, gives:

0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23

That's definitely less than 2.5 liters, so shampoo is OK as well.

Hence, bathroom has enough water and shampoo for them.

7 0

3 years ago

Read 2 more answers

Find the value of x.

Zolol [24]

Answer:

34

Step-by-step explanation:

8 0

3 years ago

Least to greatest 63.37,62.95,63.7

Anit [1.1K]

Answer:

1. 62.95

2. 63.37

3. 63.7

Step-by-step explanation:

List the numbers by lining up the decimals and filling in zeros in the empty spaces to make all the numbers have the same number of digits, then compare whole numbers first then the decimals. There are two 63's so then you look at the decimal side one is .37 and one is .70 (add the zero so all numbers have the same number of digits)

63.37

62.95

63.70 (added the zero)

3 0

3 years ago

In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

7 0

3 years ago