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Nataliya [291]
3 years ago
8

Write an inequality 3 times a number x, subtracted from 18 is less than −90.

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0
3x-18 < -90. is the inequality
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The perimeter of a rectangular painting is 312 centimeters. If the width of the painting is 64 centimeters, what is its length?
Kay [80]
Perimeter= 2L + 2W
312 cm= 2L + 2(64)
312= 2L + 128
subtract 128 from both sides
184= 2L
divide both sides by 2
92 cm= L

ANSWER: The length is 92cm.

Hope this helps! :)
5 0
3 years ago
Answer the following questions. a. In the general education course requirement at a college, a student needs to choose one each
Bezzdna [24]

Answer:

a) N = 240 ways

b) N = 303,600 ways

c) N = 10 ways

Step-by-step explanation:

a) Given

General course consist of one course from each of 4 groups.

Social Science = 5 options

Humanities = 4 options

Natural sciences = 4 options

Foreign language = 3 options.

Therefore the total number of possible ways of selecting one each from each of the 4 groups is:

N = 5×4×4×3 = 240 ways

b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.

N = nPr = n!/(n-r)!

n = 25 and r = 4

N = 25P4 = 25!/(25-4)! = 25!/21!

N = 303,600 ways

c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.

N = 5!/(5-5)!(2!)(3!)

N = 5×4/2

N = 10 ways

7 0
3 years ago
Find the missing lengths:<br> LO=5 and OK=4, find OH and KH.
hodyreva [135]

Answer:

The length of KH is 6 units and OH is 6.3 units.

Step-by-step explanation:

Given the figure with lengths LO=5 and OK=4. we have to find the length of  OH and KH.

In ΔLOH

By Pythagoras theorem

LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2 → (1)

In ΔKOH,

KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2  → (2)

In ΔKHL,

KL^2=LH^2+KH^2

Using eq (1) and (2), we get

KL^2=5^2+OH^2+OH^2+4^2

9^2=25+2OH^2+16

⇒ 2OH^2=81-25-16=40

⇒ OH=\sqrt{20}=6.324\sim6.3units.

Put the above value in eq 2, we get

KH^2=20+4^2=36

⇒ KH=6 units.

8 0
4 years ago
Read 2 more answers
30 points! one question, all I need help with. thanks!
Naddik [55]

Answer:

vertical asymptote X=2

5 0
4 years ago
Can you sleep 7 hours a night how many hours are you awake in a year
horrorfan [7]

Answer:

6,205 hours you are awake in a year

Step-by-step explanation:

5 0
3 years ago
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