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PIT_PIT [208]
3 years ago
10

What is the 30th term of the linear sequence below? -5,-7,-9,-11,-13....

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

-63

Step-by-step explanation:

This arithmetic progression

The formula is a+(n-1)d

a means the first value

n is the nth term

d is the difference

So a is -5

n is 30

d is -2

So let's substitute

-5+(30-1)-2

-5+(29)-2

-5-58

-63

Therefore the final answer is-63

Just follow the step and the general formula, you will get your final answer

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$35.75 with a 65% markup
KIM [24]
Its 58.9875 so about $59
HOPE THIS HELPS!!
FEEL FREE TO FOLLOW ME IF YOU NEED ANYMORE HELP IN THE FUTURE
4 0
3 years ago
From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angl
eimsori [14]

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

8 0
2 years ago
Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
Find the value of x.
Shalnov [3]

Answer:

-11

Step-by-step explanation:

I think you do 5x-24=8x+9

5 0
2 years ago
Hector must find the sum of 50+83+50 by using mental math. Which property allows Hector to simplify the equation to 50+83+50 and
GenaCL600 [577]
I'm pretty sure it's commutative.
3 0
3 years ago
Read 2 more answers
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