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3 years ago

The sum of two consecutive odd integers is 188. list the numbers from smallest to largest:

1 answer:

3 0

X and x+ 2 equal 188
add all the like terms to get 2x+2=188
subtract 2 from each side
2x=186
divide by 2
x=93
so the numbers are 93 and 95

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Find the equation of the ellipse with the following properties. The ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8)

sesenic [268]

Hi, thank you for posting your question here at Brainly.

The general equation of a horizontal ellipse is

(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.

If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,

2b = 16
b = 8
b^2 = 64

The distance between the two foci is 2c. Thus,

2c = 12
c = 6
c^2 = 36

Then, a2 = 64 + 36 = 100. Substituting to the general equation:

x^2/100 + y^2/64 = 1

8 0

3 years ago

If I had 20 apples and I have to share with 5 peoplw how many apples each would each person get. 20 Points.

marin [14]

Answer:

4 appels if you dont get any but if you get one as well 3

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please help will give brainliest

deff fn [24]

Since the sum of the probabilities of all possible outcomes must be 100%, we can deduce the following:

Cooking in under 20 minutes: 10%
Cooking between 20 and 30 minutes: 85%
Cooking in more than 30 minutes: 5%

In fact, the probabilities of cooking in less than 20 or more than 30 sum up to 15%, which means that the remaining outcome (i.e. cooking time between 20 and 30) must complete this probability to 15, and in fact 15+85=100.

That being said, all three answers are simply a combination of these three scenarios: let C be the cooking time, for aesthetic reasons:

$P(C\geq 20) = P(20 \leq C \leq 30)+P(C\geq30) = 85\%+5\%=90\%$

$P(20 \leq C \leq 30) = 85\%$

$P(C\leq 30) = P(C\leq20)+P(20 \leq C \leq 30) = 10\%+85\%=95\%$

3 0

3 years ago

A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet

attashe74 [19]

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a= 145ft ,

b = 257ft ,

c = 290ft

<u>calculate the area of the base </u>

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

= ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}$

= 18617.66 ft^2

3 0

2 years ago

60.April would like to invest $200 in the bank for one year. Three banks all have a nominal APR of 1.5%, but compound the intere

mojhsa [17]

Answer:

$203.02

Step-by-step explanation:

Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:

$B= 200*e^{i*t}$

Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):

$B= 200*e^{0.015*1}$

$B= 203.02$

April's balance would be $203.02 after one year.

5 0

3 years ago