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Serhud [2]
3 years ago
5

The length of the shortest side of a right triangle is 8 inches. The lengths of the other two sides are represented by consecuti

ve odd integers. Which equation could be used to find the lengths of the other sides of the triangle?
A. 8^2+(x+1)=x^2
B. x^2+8^2=(x+1)^2
C. 8^2+(x+1)^2=x^2
D. x^2+8^2=(x+2)^2
Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

Answer:

D

Step-by-step explanation:

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In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population
KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%

Thus the equation for population for country A would be

P(A) = 87e^{0.035t}

The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.

So equation for population for country B would be

P(B) = 243e^{0.006t} where t = time in years and P in millions

a) P(A) = 2*87 when

2=e^{0.035t}

Take log and solve

ln 2 = 0.005 t

t = 138.63

Thus after 138 years population will double for A

b) P(A) = P(B) when

P(A) = 87e^{0.035t}=P(B) = 243e^{0.006t}\\e^{0.035t-0.006t}=\frac{243}{87} =2.793\\0.029t = 1.027\\t= 35.42

Approximately after 35.5 years the populations of both countries would be equal.

7 0
3 years ago
Read 2 more answers
What is the sum of the geometric sequence −4, 24, −144, ... if there are 8 terms?
Helga [31]

Answer:

The sum of 8 geometric sequence is 959780

Step-by-step explanation:

We are given

this sequence is geometric

-4 , 24 , -144

First term is -4

so, a_1=-4

now, we can find common ratio

r=\frac{24}{-4}=-6

we can use formula

S_n=a_1(\frac{1-r^n}{1-r} )

n=8

now, we can plug values

S_8=-4(\frac{1-(-6)^{8}}{1+6} )

now, we can simplify it

and we get

S_8=959780

4 0
4 years ago
5.
ICE Princess25 [194]

Answer:

5 x 8 /a*7

Step-by-step explanation:

8 0
3 years ago
Resuelve las adiciones y relaciónelos con el resultado 132.53<br> +47.4
Natali5045456 [20]

Answer: 179.93

Step-by-step explanation:

4 0
3 years ago
Michael wants to find the length of the shadow of a tree. He measures the height of a fencepost and the length of the shadow it
zmey [24]
The shadow of the tree is about 17.955 feet long.
4 0
3 years ago
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