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Paladinen [302]
3 years ago
13

Simplify the expression help, please 275j+2.25-1.5j+3

Mathematics
2 answers:
Kazeer [188]3 years ago
5 0
5j + 21
———. I’m pretty sure this is the answer
4
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

273.5j+5.25

Step-by-step explanation:

first combine like terms 275j-1.5j. and then 2.25+3

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Whats the length in meters of CD?​
Gnesinka [82]

Answer:

The length of DC in meters is  \frac{60}{13} ⇒ A

Step-by-step explanation:

In the circle O

∵ AB passing through O

∴ AB is a diameter

∵ D is on the circle

∴ ∠ADB is an inscribed angle subtended by arc AB

∵ Arc AB is half the circle

→ That means its measure is 180°

∴ m∠ADB = \frac{1}{2} × 180° = 90°

In ΔADB

∵ m∠ADB = 90°

∵ AD = 5 m

∵ BD = 12 m

→ By using Pythagorase Theorem

∵ (AB)² = (AD)² + (DB)²

∴ (AB)² = (5)² + (12)²

∴ (AB)² = 25 + 144 = 169

→ Take square root for both sides

∴ AB = 13 m

∵ ∠ADB is a right angle

∵ DC ⊥ AB

∴ DC × AB = AD × DB

→ Substitute the lengths of AB, AD, and DB

∵ DC × 13 = 5 × 12

∴ 13 DC = 60

→ Divide both sides by 13

∴ DC = \frac{60}{13} m

∴ The length of DC in meters is  \frac{60}{13}

6 0
2 years ago
A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n
Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is:A = P(1+r)^t

A = total amount

P = original amount

r = growth rate (decimal)

t = years

<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>

3.5% -> \frac{3.5}{100} -> 0.035

Lets plug in the values:

A=12,000(1+0.035)^7

A=15,267

The population after 7 years will be 15,267.

8 0
3 years ago
How is 0.0000267 written in scientific notation
Nataly_w [17]

Answer: 6.7*10^-5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The drama club was selling tickets
Lubov Fominskaja [6]

Answer:

108 student tickets, and 176 adult tickets  were sold

Step-by-step explanation:

Adult ticket $8  Call the number of adult tickets sold "a"

Student ticket $5  Call the number of student tickets sold "s"

Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284

Then we create two different equations with the information given:

a + s = 284

8 * a + 5 * s = 1948

we can solve for s in the first equation as follows: s = 284 - a

and use it in the second equation

8 a + 5 (284 - a) = 1948

8 a + 1420 - 5 a = 1948

combining

3 a = 528

a = 528/3

a = 176

we find the number of student tickets using this answer in the substitution equation we used:

s - 284 - 176 = 108

Therefore 108 student tickets, and 176 adult tickets  were sold.

5 0
3 years ago
Sumaya is considering investing $8500 into the bank. Bank A offers 2.25% interest rate compounded semiannually. Bank B offers 1.
Harman [31]
The answer to your problem is B.
6 0
2 years ago
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