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Degger [83]
3 years ago
14

Find the first term and the common difference of the arithmetic sequence whose 5 th term is 3 and 19 th term is 45 .

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0
Where (a) is first term
and common diff is (d)

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Find the exterior angle of a regular decagon​
mamaluj [8]

Answer:

Exterior Angle = 36 degrees

Step-by-step explanation:

<u><em>Each interior angle of a regular decagon measures 144 degrees.</em></u>

=> <u><em>We'll subtract 144 from 180 to get the measure of the exterior angle.</em></u>

=> Exterior Angle = 180-144

=> Exterior Angle = 36 degrees

6 0
3 years ago
Snyone get this if u do please csn u help me
In-s [12.5K]
So what I think you do is that yu have to simplify or divide. Good luck! - from: a 7th grader
3 0
3 years ago
Jack is using a hose to fill a cylinder-shaped dunk tank with water. If the dunk tank is six feet tall and has a diameter of six
nydimaria [60]

57 minute will take to fill the tank.

Solution:

Height of the cylinder = 6 ft

Diameter of the cylinder = 6 ft

Radius of the cylinder = 6 ÷ 2 = 3 ft

Volume of the cylinder = πr²h

                                      = 3.14 × 3² × 6

Volume of the cylinder = 169.56 cubic feet

Time taken to fill 3 cubic feet of water = 1 minute

Time taken to fill 169.56 cubic feet of water = \frac{169.56}{3}

                                                                         = 56.52 minute

                                                                         = 57 minute

Hence 57 minute will take to fill the tank.

3 0
3 years ago
Please solve the following sum or difference identity.
xxTIMURxx [149]

Answer:

sin(A - B) = \frac{4}{5}

Step-by-step explanation:

Given:

sin(A) = \frac{24}{25}

sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

sin(B) = -\frac{4}{5}

cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

6 0
3 years ago
Read 2 more answers
What is the sum (Two-fifths x + StartFraction 5 over 8 EndFraction) + (one-fifth x minus one-fourth)?
gavmur [86]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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