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3 years ago

What is the fraction form of the following decimal expansion? 1.7 continued

Mathematics

2 answers:

kramer3 years ago

7 0

Answer:

1 is in the unit place and 7 is in the tenths place and the fraction for this is 1 and 7/10 the one is a whole number and the seven tenths is a fraction and thats your answer

Step-by-step explanation:

allsm [11]3 years ago

4 0

Answer:

1 is in the unit place and 7 is in the tenths place and the fraction for this is 1 and 7/10 the one is a whole number and the seven tenths is a fraction and thats your answer

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You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl

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What is the surface area of a sphere with the radius of 3?

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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

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