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omeli [17]
2 years ago
15

Alan has forgotten his 4-digit PIN code.

Mathematics
2 answers:
Rudiy272 years ago
7 0
If Alan knows one already, there is 3 more left for him to possibly know
Simora [160]2 years ago
5 0
The first number obviously is 3 and the next number has to be bigger so its 6 .
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the longest side of an acute isosceles triangle 8 centimeters . Round to the nearest tenth, what is the smallest possible length
Triss [41]
Let x be the <span>length of each of two congruent sides.

</span>The triangle will be аcute if:     
x² + x² > 8²
2x² > 64
x² > 32
x > √32
x > 5.657

So, the smallest possible length of one of two congruent sides have to be 5.7 cm  (<span>to the nearest tenth)</span>
7 0
3 years ago
Read 2 more answers
Find the standard form of the circle x2 + y2 – 6x + 10y + 24 = 0 by completing the square.
hichkok12 [17]

Answer:

(x-3)^2+ (y+5)^2=10

Step-by-step explanation:

Given the equation of the circle: x^2 + y^2 - 6x + 10y + 24 = 0

We wish to express it in a Standard form:

We begin by re-arranging:

x^2 - 6x + y^2  + 10y  = - 24

Next, divide the coefficient of x by 2, square it and add it to both sides.

Do the same for y.

x^2 - 6x +(-3)^2+ y^2  + 10y+5^2  = - 24+(-3)^2+5^2

Next, we factorize

(x-3)^2+ (y+5)^2  = - 24+9+25\\(x-3)^2+ (y+5)^2=10

This is the standard form.

6 0
3 years ago
What is the image of the point (3,4) after a rotation of 90 degree counterclockwise about the origin
jeka57 [31]

Answer:

(- 4, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 4 ) → (- 4, 3 )

6 0
2 years ago
The water level was -4 feet before rainy season after rainy season the water level was 4 feet by how much did the water level ch
Helen [10]

After rainy season it grew by eight feet

7 0
3 years ago
Exposure to ionizing radiation is known to increase the incidence of cancer. One thousand laboratory rats are exposed to identic
mojhsa [17]

Missing information :

The model was omitted from the question ; the possible model relating to the question was browsed online and could possibly be :

N(t) = 1.07t^2.3 for 0 ≤ t ≤ 10 months

Answer:

30.9 cases per month

Step-by-step explanation:

Given the model to determine the number of rats that have developed cancer after initial exposure ; N(t) = 1.07t^2.3

N(t) = 1.07t^2.3

Take the first derivative of N with respect to t to obtain the rate of change ;

N'(t) = (1.07)(2.3)t^2.3-1

N'(t) = (1.07)(2.3)t^1.3

The rate of growth of cancer cases at the 7th month can be calculated thus :

t = 7

N'(7) = (1.07)(2.3)t^1.3

N'(7) = 1.07 * 2.3 * 7^1.3

N'(7) = 1.07 * 2.3 * 12.549529

N'(7) = 30.884

The rate of growth of cancer at the 7th month is 30.9 cases per month.

7 0
3 years ago
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