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GarryVolchara [31]
2 years ago
14

I need this problem solve quick

Mathematics
1 answer:
belka [17]2 years ago
3 0

Answer:

52

Step-by-step explanation:

The missing sides is equal to the opposite side

So add all the sides up

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A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps​ them, it wi
Stels [109]

It takes 9 hrs 19.8 minutes  for the student teacher to grade the exams if they worked​ alone

<u>Solution:</u>

Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”

Here the word efficiency means the rate of doing work

Let the total work to be completed be W

According to the question,

The time taken by the school teacher to complete the work is 7 hrs.

So we can write it in equation form

W = x \times 7  ---- eqn 1

where W is the total work and x is the efficiency

Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as

W =(x +y ) \times 4

Equating eqn 1 and 2

x \times 7=(x+y) \times 4

7x = 4x + 4y

3x = 4y

So in ratio x : y = 4 : 3

Now putting value of x = 4 in equation (1) we get total work to be 28

Now, <em>total time taken by the student teacher = total work ÷ efficiency of student teacher</em>

Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs

= 9 hrs 19.8 minutes

Hence it takes 9 hrs 19.8 minutes  for the student teacher to grade the exams if they worked​ alone

4 0
3 years ago
A is directly proportional to b
KonstantinChe [14]

Answer:

a = kb

Step-by-step explanation:

"a is directly proportional to b" is expressed as a = kb, where k is the "constant of proportionality."

8 0
3 years ago
What is the value of 1 tens and 16 ones
Zanzabum
1 x 10 = 10
16 x 1 = 16
10 + 16 =
26

3 0
2 years ago
Read 2 more answers
How do you solve (5^{2} - 1) ÷ 6
posledela

( {5}^{2}  - 1) \div 6 =

(25 - 1) \div 6 =

24 \div 6 = 4

Note:

Do the square first, and then you do mathematic operation between the parentheses. And, then do the

mathematic operation in the outside of parentheses.

Thank you.

8 0
3 years ago
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Consider this right triangle with given measures what is the unknown length
DIA [1.3K]

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = \sqrt{81} = 9

4 0
3 years ago
Read 2 more answers
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