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3 years ago

Geometry math question no Guessing and Please show work thank you

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

here two given sides are 10 and 6,

We use the rule of triangle here:

sum of two sides> third side

checking for each option

Option A: AC=4

4+6>10, 10>10 (false)

So AC cannot be equal to 4, option A is answer.

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Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

2 years ago

A circular picture is 8 inches in diameter.

erma4kov [3.2K]

Answer:

Part A :

Area = π*r² = π(d/2)² = π*(8/2)² =

π*4² = π*16 square inches

Part B:

d=8+4 = 12 and r = d/2 = 6 inches

We know :

Area = π*r²

Area = π*6²

=36π

<u><em>Hope This Answer To Your Question! </em></u>

8 0

3 years ago

15 POINTS WILL MARK BRAINLIEST!!!!! Choose the group responsible for the Declaration of Independence.

Bess [88]

Answer: second Congress

Step-by-step explanation:

Short and sweet

6 0

3 years ago

At 1 p.m., the number of cars in a parking lot is 78. Given the formula found in the first part of the question, An=78⋅1.09n, es

Harrizon [31]

Answer:

At 6 p.m., the number of cars in a parking lot is 120

Step-by-step explanation:

At 1 p.m., the number of cars in a parking lot is 78.

Given,

$A_n=78\cdot 1.09^n$

Note that

$A_0=78\cdot 1.09^0=78\cdot 1=78$

So, 1 p.m. goes for n = 0, then

6 p.m. goes for n = 5

Thus,

$A_5=78\cdot 1.09^5\approx 120$

4 0

3 years ago

Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean

Leya [2.2K]

5 oz. Hope this helped!

5 0

2 years ago