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2 years ago

Determine if the sequence is arithmetic or geometric. Then, find the common difference or common ratio.

Mathematics

1 answer:

evablogger [386]2 years ago

6 0

Answer:

Arithmetic.

d = -10.

Step-by-step explanation:

There is a common difference of -10 so it is arithmetic.

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.

Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m + 40 m + c = 120 m

61 m + c = 120 m

c = 120 m - 61 m

c = 59 m

↓ ↓

A → → → → → → → → → → → C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

$a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0$

Angle B is calculated as follows;

$Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0$

Angle C is calculated as follows;

$Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0$

Therefore, the largest angle of the field is 149⁰.

8 0

2 years ago

50 POINTS!!!!!!!

sesenic [268]

Answer:

Step-by-step explanation:

Part A: 4x^3y is a common variable

Part B: I found the common factor by looking at a common factor of the coefficient and the I look at the lowest exponent of each and put them as a factor

Part C: 4x^3y(9xy^2-4)

Hopes this helps please mark brainliest

5 0

10 months ago

24 and 25 please )))))))

Elena L [17]

Answer:

see the angle is more than 90 and it's obtuse in nature so u can find only supplement of that angle

85,106

4 0

2 years ago

analyze the diagram below and complete the instructions that follow . find the value of z. A.11 B.32 C.50 D.68