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zhannawk [14.2K]
3 years ago
14

Helpppp plzzz The frequency histogram shows the lengths of trails in a large park.

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

13 trails

Step-by-step explanation:

The histogram shows following numbers of trails:

  • <u>0 - 6 km long</u> - 5 trails;
  • 6 - 12 km long - 9 trails;
  • 12 - 18 km long - 7 trails;
  • 18 - 24 km long - 3 trails;
  • <u>24 - 30 km long</u> - 4 trails;
  • <u>30 - 36 km long</u> - 1 trail;
  • <u>36 - 42 km long</u> - 3 trails.

So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.

In total, 5 + 8 = 13 trails

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In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?
HACTEHA [7]

Answer:

34 °

Step-by-step explanation:

∠D = 71°

∠G = 37°

In ΔGEF

Using angle sum property of triangle : Sum of all angles of triangle is 180°

∠G+∠E+∠F = 180°

Since ΔGEF is right angled triangle at F so, ∠F = 90°

Now, 37°+∠E+90° = 180°

127°+∠E= 180°

∠E= 180°-127° =53°

Now ∠E+∠D = 53°+71°  = 124°

Now using exterior angle property in ΔABC

An exterior angle of a triangle is equal to the sum of the opposite interior angles

∠E+∠D is the exterior angle of  ΔABC

So, ∠A+∠B = ∠E+∠D

since  ΔABC is right angled triangle at B so, ∠B = 90°

∠A+90° = 124°

∠A = 124°-90°

∠A = 34°

Hence the measurement of angle A is 34 °

3 0
4 years ago
<img src="https://tex.z-dn.net/?f=4%2A%289%5E%7B2%7D%20%2F27%2A5%29" id="TexFormula1" title="4*(9^{2} /27*5)" alt="4*(9^{2} /27*
ratelena [41]

Answer:

60

Step-by-step explanation:

Simplify the following:

4×9^2/27×5

9^2/27×5 = (9^2×5)/27:

4×(9^2×5)/27

4×(9^2×5)/27 = (9^2×5×4)/27:

(9^2×5×4)/27

9^2 = 81:

(81×5×4)/27

81/27 = (27×3)/27 = 3:

3×5×4

3×5 = 15:

15×4

15×4 = 60:

Answer:  60

7 0
4 years ago
Simplify x^3- + x^2 + y^2
aleksley [76]
Hello, there!


<span>This is already simplified as there are no like terms that can be combined. x^3 is different than x^2, so it can't be combined.

x^3 is different from y^2 so it can't be combined.

And finally, x^2 is different from y^2, so it can't be combined either.
</span>

I hope I helped!

Let me know if you need anything else!

~ Zoe
8 0
4 years ago
A student received a coupon for ​%18 off the total purchase price at a clothing store. Let y be the original price of the purcha
kiruha [24]

Answer:

Final cost of item = initial price(1 – rate)

Step-by-step explanation:

y(1 – .18) = .82y

7 0
3 years ago
(NEEDED HELP ASAP, TIMER)
Vinil7 [7]

Answer:

None of the given points are on this graph of y = 1.5 + [x].

Step-by-step explanation:

The given function is f(x) = y = 1.5 + [x].

1. Now, f(- 4.5) = 1.5 + [- 4.5] = 1.5 - 5 = - 3.5 ≠ - 2.5

{Since, for - 5 ≤ x < - 4, [x] = - 5}

2. And, f(- 0.8) = 1.5 + [- 0.8] = 1.5 - 1 = - 0.5 ≠ 0.5

{Since, for -1 ≤ x < 0, [x] = - 1}

3. And, f(7.9) = 1.5 + [7.9] = 1.5 + 7 = 8.5 ≠ 9.5

{Since, for 7 ≤ x < 8, [x] = 7}

4. And, f(4.5) = 1.5 + [4.5] = 1.5 + 4 = 5.5 ≠ 6

{Since, for 4 ≤ x < 5, [x] = 4}

5. Finally, f(1.3) = 1.5 + [1.3] = 1.5 + 1 =2.5 ≠ 3.5

{Since, for 1 ≤ x < 2, [x] = 1}

So, none of the given points are on this graph of y = 1.5 + [x]. (Answer)

6 0
4 years ago
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