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Mumz [18]
3 years ago
8

Find the common ratio of the geometric sequence.

Mathematics
1 answer:
butalik [34]3 years ago
4 0
a_1=;\ a_2=4;\ a_3=16;\ a_4=64\\\\r=a_2:a_1\\\\\boxed{4:1=4}\to\fbox{a)}
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Lukas wants to create a triangle with sides measuring 9 in 13 in and 15 in he says that more than one triangle is possible given
Karolina [17]

Answer: Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.

Step-by-step explanation:

Here is the complete question

Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?

A. Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.

B. Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.

C. Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.

D. Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.

For the figures to make up a triangle, the addition of the square of the two smaller sides must be equal to the square of the larger side. The Pythagoras rule is used.

The figures here are 9, 13 and 15. So let's yes to confirm.

9^2 + 13^2 = 15^2

81 + 169 = 225

250 = 225

Since the two figures are not equal, it is incorrect no triangles can be drawn from the length.

6 0
3 years ago
After being poured into a cup coffee cools so that its temperature T(t) is represented by the function T(t)=70+110 e^(-t/2) wher
Katyanochek1 [597]
T(t)=70+110e^(-t/2)

After 4 minutes, t= 4

Substituting in the temperature equation,

T(4 minutes) = 70+110e^(-4/2)=70+110e^(-2) = 84.89 oF
8 0
4 years ago
Find the area of the shaded sector
natta225 [31]

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

3 0
3 years ago
Wen says the function is continuous, because the number of people is unlimited. Is Wen right or wrong? Explain.
nydimaria [60]

Answer: Wrong

<u>Step-by-step explanation:</u>

Continuous means every value is included. Since fractions of people do not exist, it cannot be continuous.

6 0
3 years ago
A clerk in the sports department of a store is stacking tennis balls in the shape of a square pyramid. The top layer has 1 ball,
Nitella [24]
Letter C.
The series is neither arithmetic or geometric.
The pattern is
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
n^2 is the pattern where n is the position in the series.
5 0
4 years ago
Read 2 more answers
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