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yawa3891 [41]
4 years ago
5

Lim

Mathematics
1 answer:
insens350 [35]4 years ago
4 0

Answer:

Step-by-step explanation:

f(-9+h)= (-9+h)² = h²-18h+81

f(-9+h)-f(-9)=h²-18h+81 -81 because : f(-9) = (-9)² = 81

f(-9+h)-f(-9)=h²-18h

(f(-9+h)-f(-9))/h=(h²-18h)/h = h(h-18)/h =h-18

lim  (f(-9+h)-f(-9))/h = lim(h-18= - 18

h→0                             h→0

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3 years ago
a garden is 15 m × 10 m . It has a 2.6. m wide flower bed all around outside it. There is also a 2.5 m wide grassy path all arou
erastova [34]

Answer:

flower bed = 157.04 m^{2}

grassy path = 202 m^{2}

Step-by-step explanation:

If you draw this out, it's basically a rectangle inside a rectangle inside a rectangle. I'm going to call those rectangles A, B, and C. with A being the smallest and C being the biggest.

first we need to find the area of A, B, and C.

A will be easy because we're already given that its 15x10

Area A = 150 m^{2}

To find area B, we need to add the 2.6 pathway to all the sides, so it'll be:

length: 15+2.6(2) = 20.2 m

width: 10+2.6(2) = 15.2 m

Area B = 307.04 m^{2}

Then we do the same for area C but with 2.5 m.

length: 20.2+2.5(2) = 25.2 m

width: 15.2+2.5(2) = 20.2 m

Area C = 509.04 m^{2}

To find the area of just the flower bed, we need to subtract area A from area B, then to find grassy path we need to subtract area B from area C.

flower bed: 307.04-150 = 157.04 m^{2}

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3 years ago
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Step-by-step explanation:

3a.

there are 40 students.

each one had to get to school one way or another. so, all of them have to be in the table in one category.

I am just surprised that "car" is not an option there.

anyway, we have

11 + 7 + 9 + 6 = 33

so, there are 40-33 = 7 students left for the train category.

3b.

I cannot draw it for you.

but you need to consider the following table :

all 40 students are the full 360° of the circle.

school-bus are 11 students = 11/40 × 360 = 11×9 = 99°

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walk are 9 students = 9/40 × 360 = 9 × 9 = 81°

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train are 7 students = 7/40 × 360 = 7 × 9 = 63°

as you can see, the sum is again 40 students and 360°.

you need to draw these 5 pie slices with these angles.

and in each slice you write the number of students in that category.

together, side by side, all 5 slices will fill the whole circle.

4 0
3 years ago
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kow [346]

Answer:

B is going to be half the intercepted arc

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