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nydimaria [60]
3 years ago
13

Type your answers into the boxes.

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Answer:

Step-by-step explanation:

√121 = 11

√900 = √30^2 = 30

∛125 = ∛5^3 = 5

∛729 = ∛9^3 = 9

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a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of
Nana76 [90]

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour


When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)


now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)


When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)


plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8


plug value of y into (ii)

x=4+8=12


Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour


4 0
3 years ago
Help ASAP with these
Fittoniya [83]

Answer:

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Step-by-step explanation:

Given:

AD ≅ BC and AD || BC

To Prove:

ABCD is a Parallelogram

Proof:

Alternate Interior Angles Theorem :

"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Here AD || BC and the transversal is AC

  Statement               Reasons

1. AD ≅ BC  .           1. Given

2. AD || BC              2. Given

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

4 0
3 years ago
A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,
solong [7]
They are each multiplied by a factor of 3.5
You can calculate this by taking the length of the similar prism and divide it with the first prism 14.7/4.2 = 3.5
Do this with the width and height to be sure
20.3/5.8 = 3.5
33.6/9.6 = 3.5
5 0
3 years ago
Read 2 more answers
8 The graph of y = a cos(x + b) for 0 2<br> 1<br> 60<br> 120<br> 180<br> 240<br> 300<br> 360<br> -1<br> -2<br> (a) Find the valu
MAVERICK [17]

Answer:

hw que no te he podido contestar por la tarde pero si te llamo en el tercero para que

8 0
2 years ago
The volume of a shipping container is 448.656 cubic inches, and it can hold 24 smaller boxes. What's the volume of each of the s
madreJ [45]

Answer:

The volume of each of the smaller boxes = 18.694  inches³

Step-by-step explanation:

The volume of Shipping container = 448.656  inches³

The shipping container hold small boxes of numbers = 24

So, The volume of each of small boxes = \frac{448.656}{24} inches³

Or, The volume of each of small boxes = 18.694  inches³

Hence The volume of each of 24 small containers is 18.694 inches³ Answer

5 0
3 years ago
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