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2 years ago

Write the explicit formula for an, the nth term of the sequence 38, 48, 58

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

6 0

Answer: an= 38+10(n-1)

Step-by-step explanation:

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Given:

oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

$AB=\dfrac{KN+LM}{2}$

Since the ratio $LM:KN=1:5,$ then $LM=x,\ KN=5x$ and

$18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units$

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

$KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units$

Consider right triangle KLE. By the Pythagorean theorem,

$KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units$

3 0

3 years ago

a motorcycle cost $12,000 when it was purchased. the value of a motorcycle decreases by 6% each year. find the rate of decay eac

kiruha [24]

There's 12 months in a year so if the value decreases by 6% each year that would be 6 ÷ 12 which is 0.5%. Therefore the decay each month is -0.5%.

5 0

3 years ago

A man earns 5000 for 10 days work.how should he earn in 14,if working at the same rate

Mademuasel [1]

He earns $500 every day, so 500 times 14 is 7000

Answer: $7000

7 0

2 years ago

Read 2 more answers

Select True or False for each statement. 1 4 9 + 7 6 9 is equal to 8 1 9 . 5 5 6 + 3 3 6 is equal to 8 2 6 . 4 5 8 − 2 4 8 is eq

Elena L [17]

Answer:

(1) False

(2) False

(3). False

(4) False

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

(1). Given, 149 + 769 = 819

By calculating 149 + 769 = 918

Hence, False

(2). Given, 556 + 336 = 826

By calculating 556 + 336 = 892

Hence, False

(3). Given, 458 - 248 = 238

By calculating 458 - 248 = 210

Hence, False

(4). Given, 658 - 228 = 438

By calculating 658 - 228 = 430

Hence, False

4 0

3 years ago

Please can u give me this answer ☹️

Jlenok [28]

Answer:

the second one

Step-by-step explanation:

Hello There!

The area of a triangle can be found using this formula

$A = \frac{1}{2} (a+b)h$

where a and b = bases and h = height

The trapezoid shown has the following dimensions

top base = 9cm

bottom base = 14 cm

height = 12 cm

slant height = 13 cm

using this information, we plug in the values into the formula

So $A = \frac{1}{2} (9+14)12$

the equation we created matches the 2nd equation therefore the second one is your answer

7 0

3 years ago

Read 2 more answers