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IgorC [24]
3 years ago
15

Please help, greatly appreciated

Mathematics
1 answer:
fredd [130]3 years ago
4 0

Take a look at the right triangle. The vertical leg has length 12 cm because the square is 12 cm on a side.

According to the Pyth. Thm., x^2 + (12 cm)^2 = (20 cm)^2. Then:

x^2 = 400 cm^2 - 144 cm^2, or x^2 = 56

Then the unknown side length, x, is +√56 = +7√8 = +14√2.

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A car travels at an average speed of 56 miles per hour. How many miles does it travel in 4 hours and 15 minutes?
ivolga24 [154]
56*(4+15/60)

56*(240+15)/60

56*(255)/60

238 miles


8 0
3 years ago
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Find the length of side a.<br> 5<br> 3<br> O A. 16<br> O B. 34<br> O c. 2<br> O D. 4
xxMikexx [17]

Answer:

D

Step-by-step explanation:

a=\sqrt{c^{2} -b^{2} }

\sqrt{5^{2} -3^{2} } =4

a=4

5 0
3 years ago
The sum of 444 consecutive integers is 326326326.<br> What is the second number in this sequence?
Nookie1986 [14]

Answer:

82

Step-by-step explanation:

Let's first figure out what the first number is and use that to solve for the next. The problem states that the numbers are consecutive. So the 2nd number word be 1 plus the first.

The sum of 4 consecutive numbers:

1st = x

2nd = x + 1

3rd = x + 2

4th = x + 3

The sum of 4 consecutive number is 326.

1st + 2nd + 3rd + 4th = 326

x + (x + 1) + (x + 2) + (x + 3)  = 326

Combine like terms:

4x + 6 = 326

Then we subtract 6 from both sides to isolate 4x:

4x + 6 - 6 = 326 - 6

4x = 320

Then we divide both sides by 4 to isolate x:

4x/4 = 320/4

x = 80

So the first number is 79

Now to get the second, let's just add 1.

80 + 1 = 81

Let's check if our answer would be correct:

80 + 81 + 82 + 83

= 326

5 0
3 years ago
Read 3 more answers
I have two turtles. Today, the older turtle's age is $11$ times that of the younger turtle. In $24$ years, the older turtle's ag
Ludmilka [50]

Answer:

3

Step-by-step explanation:

3

4 0
3 years ago
A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.​
nikdorinn [45]

Answer:

(0.118, 4.882)

Step-by-step explanation:

If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;

​Distance = Speed * time

​da = 120m

If he drives n hours at 18km/hr;

db = 18 * n

db = 18n

Speed of the motorist altogether is expressed as;

Speed =78km/5hrs

Speed = 15.6km/hr

SInce the total distnce is 78km

120m + 18n = 78 ....1 ..... * 1

If total time is 5hrs

m + n = 5....2 ...*18

Solve simultaneously

120m + 18n = 78

18m + 18n = 90

Subtract

120m - 18m = 78-90

102m = -12

m = 0.118 hrs

m =

Since m + n = 5

n = 5 - m

= 5 - 12/102

n = 4.882

Hence (m,n) is (0.118, 4.882)

3 0
3 years ago
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