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iren2701 [21]
3 years ago
5

Which set of angles can form a triangle?

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

I think b is the correct answer

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
3 years ago
Read 2 more answers
A right triangle has a leg b of length 7 and a hypotenuse of length 11 what is the length of the other leg a?
N76 [4]
A^2 + b^2 = c^2
a^2 + 7^2 = 11^2
49= 121
121 - 49 = 72

Square root(72) = 8.49
or you can just keep the square root symbol with 72 under it
6 0
3 years ago
If m=2 and b=-5, what is the equation of the line in slope intercept form
nordsb [41]

Answer:

y=2x-5

explanation:

y=mx+b

6 0
2 years ago
Jose equation is -4(x+2) = 8x+16 says to jill “I can solve for the variable in this equation in at least 4 different ways
erastovalidia [21]

Answer:

that is step 1 and step 2 and step3

step 4

Let's solve your equation step-by-step.

−4(x+2)=8x+16

Step 1: Simplify both sides of the equation.

−4(x+2)=8x+16

(−4)(x)+(−4)(2)=8x+16(Distribute)

−4x+−8=8x+16

−4x−8=8x+16

Step 2: Subtract 8x from both sides.

−4x−8−8x=8x+16−8x

−12x−8=16

Step 3: Add 8 to both sides.

−12x−8+8=16+8

−12x=24

Step 4: Divide both sides by -12.

−12x

−12

=

24

−12

x=−2

Answer:

x=−2

6 0
3 years ago
For cones with radius 6 units, the equation V = 127th relates the height h of the cone, in units, and the volume V of the cone,
denis-greek [22]

Answer:

hola

Step-by-step explanation:

cómo estás yo bien compita

6 1
2 years ago
Read 2 more answers
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