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labwork [276]
3 years ago
14

Please explain with your answer

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

d = 2 - 5 = - 1 - 2 = - 4 - (- 1) = - 3

This indicates that the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = - 3, thus

a_{40} = 5 - 3(39) = 5 - 117 = - 112 → D

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77%<br> Calculate the area of this triangle.<br> 14 cm<br> 11 cmi<br> 18 cm
RideAnS [48]

Answer:

A = 99 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2}  bh ( b is the base and h the perpendicular height )

Here b = 18 and h = 11 , then

A = \frac{1}{2} × 18 × 11 = 9 × 11 = 99 cm²

4 0
3 years ago
What smaller angle is coterminal with 573°
Kobotan [32]

The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

<u>Explanation:</u>

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side

In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.

Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...

So,

When angle is 573° then the coterminal angle is

573° - 360 (1) = 213°

573° - 360(2) = -147°

573° - 360 (3) = -507°

Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

5 0
3 years ago
Find the value of the remaining variable in the formula. Use 3.14 as an approximation for a (pi).
wel

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

                                            = 2(4 + 2)

                                            = 2 × 6

                                            = 12 units

Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

5 0
4 years ago
Solve for x: 6/x = 4/8
Nuetrik [128]

Answer: x = 12

Step-by-step explanation:

\frac{6}{x} = \frac{4}{8}

cross multiply

4x = 6 × 8

4x = 48

divide through by 4

x = 12

7 0
3 years ago
A school store ordered 12 boxes of notebooks. For each box they paid for, their bank account said -$16.50. What did their bank a
SashulF [63]

Answer:

-198 dollars

Step-by-step explanation:

6 0
3 years ago
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