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mart [117]
3 years ago
12

Geometry help?? 11-13

Mathematics
1 answer:
aalyn [17]3 years ago
7 0
I'm guessing these are regular polygons so... here goes.... 11. angle 1 is (8-2)*180= 1080 then divide that by 8 (how many angles there are ) to get 135. angle 2 is 360/8 (the sum of the exterior angle is always 360) which is 45 and multiply it by 2 (because the two polygons are stuck together) to get 90.
12. it says 2 squares so angle 4 is definitely 90. angles 3 and 5 would be 45 because it's an isosceles right triangle meaning that 1 angle is 90 and that the total of the other two angles would be 90 as a triangle angle sum is 180 and since it's isosceles just divide 90 by 2 because the 2 angles are the same getting 45for angles 3 and 5.
13. the triangle includes 2 exterior angles so...360 divided by 8 = 45 (this is the measure of each exterior angle of the polygon)
45 x 2 cause as I said it includes 2 exterior angles to get 90. it's a triangle so 180 (the sum of angles in triangle) minus 90 to get 90. so 1 and 2 are both 45 and 3 is 90
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A car drives for 1 hour 55 minutes with a constant speed of 36 km/h and then for another 1 hour 50 minutes with a constant speed
stich3 [128]
----------------------------------------
Convert hours to minutes
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1 hour 55 mins = 60 + 55 = 115 mins
1 hour 50 mins = 60 + 50 = 110 mins

_____________________________________________________

----------------------------------------
Speed = 36/h
----------------------------------------
1 hour = 36 km

----------------------------------------
Rewrite 1 hour as 60 mins
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60 mins = 36 km

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Find 1 min
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1 min = 36 ÷ 60
1 min = 0.6 km

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Find 115 mins
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1 min = 0.6 km
115 min = 0.6 x 115 
115 min = 69km

_____________________________________________________

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Speed = 72km/h
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1 hour = 72 km

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Write 1 hour as 60 mins
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60 mins = 72 km

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Find 1 min
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1 min = 72 ÷ 60 
1 min = 1.2 km

----------------------------------------
Find 110 min
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1 min = 1.2 km
110 min = 1.2 x 110 
110 min = 132 km

_____________________________________________________

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Total Distance traveled:
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69km + 132km = 201km

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Answer: 201 km
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7 0
3 years ago
Use a linear approximation to estimate the number (8.07)^2/3.
Tanya [424]
So let f(x) = x^(2/3) 
<span>Then let f'(x) = 2/3 x^(-1/3) = 2 / (3x^(1/3)) </span>

<span>When x = 8, </span>
<span>f(8) = 8^(2/3) = 4 </span>
<span>f'(8) = 2 / (3*8^(1/3)) = 1/3 </span>

<span>So near x = 8, the linear approximation is </span>
<span>f(x) ≈ f(8) + f'(8) (x - 8) </span>
<span>f(x) ≈ 4 + 1/3 (x - 8) </span>

<span>So the linear approximation for x = 8.03 is... </span>
<span>f(8.03) ≈ 4 + 1/3 (8.03 - 8) </span>
<span>f(8.03) ≈ 4 + 1/3 (0.03) </span>
<span>f(8.03) ≈ 4.01 </span>

<span>8.03^(2/3) ≈ 4.01 </span>
5 0
3 years ago
Read 2 more answers
In the standard (x, y) coordinate plane, what is the
alekssr [168]

5.831

i looked it up online seems simple enough sorry if you needed an explanation

4 0
3 years ago
Suppose that 600 yards of fencing material are available to fence in
postnew [5]

Answer:

Length = 150 yards

Width = 100 yards

Step-by-step explanation:

We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.

It will take the shape of a rectangle, with a dividing fence down the center.

Let W and L,  Width and Length of the larger enclosure.

See attachment.

W= Area of the larger enclosure.

The perimeter is 2W + 2L.

The dividing fence is 1W

We know that we only have 600 yards of fence, so:

2W + 2L + 1W = 600 yards

Area = W x L

---

3W + 2L  = 600    (yards)

2L  = 600 -3W

L = (600-3W)/2

L = 300 -(3/2)W

---

Use this expression in the Area calculation:

Area = W x L

Area = W x (300 -(3/2)W)

Area = 300W -(3/2)W^2)

To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.

Area' = 300 -2(3/2)W)

0 = 300 - 3W

3W = 300

W = 100 yards

Since 3W + 2L  = 600

L = (600 - 3W)/2

L = (600 - 3(100))/2

L = 150 yards

Area = 150*100 = 15,000 yards^2

 

8 0
3 years ago
The ratio of men to women working for a company is 3 to 5. If there are 120 women working for the company, what is the total num
Xelga [282]

Answer: 192 people

Step-by-step explanation:

We can set up a ratio.

Let x be the number of men working in the company.

\frac{3 men}{5 women}  = \frac{xmen}{120 women}

We can cross umltiply.

360 = 5x

x = 72 men.

Therefore, the total number of employees = 120 women + 72 men

= 192 people.

5 0
2 years ago
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