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arsen [322]
3 years ago
14

The second term of an arithmetic sequence is 7, the sum of the first four terms in the arithmetic sequence is 12, find the first

term and the common difference

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0
Consider the following short explanation.
Answer: a1=15; d= -8.

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Work out the length of the following rectangles
tiny-mole [99]

(a) a = 10.9 cm

(b) b = 20.78 cm

(c) c = 4.06 cm

<u>Explanation:</u>

(a)

height, h = 5cm

Hypotenuse, H = 12cm

Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

(12)² = (5)² + (a)²

119 = a²

a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

Base, a = 12 cm

Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

(5.7)² = (4)² + (c)²

16.49 = c²

c = 4.06 cm

8 0
3 years ago
An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the measure of the angle of the sector in degr
nadezda [96]

Answer:

Step-by-step explanation:

The formula for arc length in terms of degrees is

A.L.=\frac{\theta}{360}*2\pi r and we have everything we need to fill in to find the angle measure.

123.53=\frac{\theta}{360}*56\pi which is the same as

123.53=\frac{56\pi \theta}{360} and

360(123.53)=56\pi \theta and

\frac{360(123.53)}{56\pi}=\theta so

θ = 253°

4 0
3 years ago
Help please?<br><br> Which expression is equivalent to (53−−√4)12 ?
Aleksandr [31]
Answer is 7.6...... hope this helps
7 0
3 years ago
Read 2 more answers
What is twenty multiplied by ten
mafiozo [28]
20 times 10 equals 200
8 0
2 years ago
Read 2 more answers
If you join all the vertices of a heptagon how many quadrilaterals will you have
dem82 [27]
When you join all the vertices, you can get 35 quadrilaterals.
5 0
3 years ago
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