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Katena32 [7]
2 years ago
5

The 14th term of an arithmetical progression is 15 and it's 9th term is 35 find the 15th term​

Mathematics
1 answer:
AURORKA [14]2 years ago
4 0

Answer:

the 15th term is 11

Step-by-step explanation:

common difference is= -4

first term is 67

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If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the
pogonyaev

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

3 0
2 years ago
Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance johnathan
Mekhanik [1.2K]

<em><u>An inequality that shows the distance Johnathan could of ran any day this week is:</u></em>

x\leq 3.5

<em><u>Solution:</u></em>

Let "x" be the distance Johnathan can run any day of this week

Given that,

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles

Therefore,

Number of days ran = 5

The most he ran in 1 day = 3.5 miles

Thus, the maximum distance he ran in a week is given as:

distance = 5 \times 3.5 = 17.5

The maximum distance he ran in a week is 17.5 miles

If we let x be the distance he can run any day of this week then, we get a inequality as:

x\leq 3.5

If we let y be the total distance he can travel in a week then, we may express it as,

y\leq 17.5

8 0
2 years ago
The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
solniwko [45]

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

4 0
2 years ago
analyze the diagram below and complete the instructions that follow . find the value of z. A.11 B.32 C.50 D.68​
masha68 [24]

Answer:

50

Step-by-step explanation:

x = √30² - 18² = √576 = 24

tan A = 18/24 = 3/4

∠A = ∠B

tan B = tan A = 24 / y = 3 / 4

y = (24 x 4) / 3 = 32

Z = y + 18 = 32 + 18 = 50

3 0
3 years ago
Please help me !!! need help will mark brainly
Ronch [10]

Answer:

1. is 3 2/3

2. is 3 1/4

3. is 2 1/4

Hope this helped! :)

4 0
3 years ago
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