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Oliga [24]
3 years ago
11

What is equal to 2/3

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
There are infinitely many values which are equal to 2/3.  You can multiply it by any real fraction which is equal to one, ie 2/2, 3/3, π/π, √2/√2 for examples which would give you:

4/6, 6/9, 2π/3π, 2√2/(3√2), √(8/18)
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What is the height of an object thrown when time is 6 seconds? Also explain how u got your answer
nevsk [136]

Answer:

946.4\ m

Step-by-step explanation:

Let

h(t) ---> the height of an object in meters

t ----> the time in seconds

we have

h(t)=-2.6t^2+40t+800

For t=6 sec

substitute in the quadratic equation  the value of t and solve for h

h(6)=-2.6(6)^2+40(6)+800

h(6)=946.4\ m

4 0
3 years ago
In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, & KM = 3x + 23, find x & the measure of each angle.
Dennis_Churaev [7]

Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°

<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

 KM ≅ LM

3x + 23 = 7x - 37

       23 = 4x - 37

       60 = 4x

        15 = x

KM = LM = 3x + 23

               = 3(15) + 23

               = 45 + 23

               = 68

KL = 9x - 40

    = 9(15) - 40

    = 135 - 40

    = 95

Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.

  • Since N is the midpoint of KL and KL = 95, then NL = 47.5
  • Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse

Use trig to solve for ∠L (which equals ∠K):

cos ∠L = \frac{adjacent}{hypotenuse}

cos ∠L = \frac{47.5}{68}

      ∠L = cos⁻¹ (\frac{47.5}{68})

      ∠L = 45.7  

Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

7 0
3 years ago
Determine whether each pair of triangles is similar. Justify your answer.
tresset_1 [31]
M<J = m<N      ( alternate angles)
m<K = m<M    ( alternate angles)

so the third angles must also be equal  ( total 180 degrees in each triangle)

Therefor the triangles are similar
7 0
3 years ago
Read 2 more answers
A farmer sells 6.7 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho
Damm [24]

Answer:

1.9 Kilograms.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The Difference BETWEEN the CI and SI on a Certain sum of money for 2 years at 15% per annum is RS.180.Find the sum
klio [65]

Step-by-step explanation:

when the difference between CI and SI given then the sum =

difference (100/r)^2

given difference is Rs . 180

Rate of interest is 15%

sum = 180× (100/15)^2

180×10000/225

= 8000

8 0
3 years ago
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