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stepan [7]
3 years ago
15

4x+12<-8 What is the solution set for the inequality?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

x<-5

Step-by-step explanation:

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In abc above,what is the length of ad​
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

4 0
3 years ago
The art club had an election to select a president. 57 members voted in the election and 19 did not vote. What percentage of the
laila [671]

Answer:

75% voted

Step-by-step explanation:

you add the 75 to 19 to figure out the total amount of people in the club.

75+19=76

Then you divide the people who voted which is 57 by the total amount of people in the club which is 76

57/76=0.75

then you move the decimal two places to the left and you get 75%


5 0
3 years ago
jack donates $X per month to charity. Ta the end if 10 months, he had 1250 donated in total. How much did he donate each month
AnnZ [28]

Answer:

He donated $125 per month.

Step-by-step explanation:

$1250 divided by 10 months to figure out how much he payed each month.

4 0
3 years ago
1. A limited-edition soccer ball costs $30, and the<br> sales tax is 6%. What is the total cost?
ra1l [238]

Answer:

$31.80

Step-by-step explanation:

The ball will cost 100% of its price plus 6% of its price for a total of 106%.

To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.

Multiply the cost of the ball by your multiplication factor:

30 x 1.06 = 31.8

Money is written to two decimal places, making your answer $31.80

6 0
3 years ago
Read 2 more answers
(1) Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph.
Maurinko [17]
<h3>Answer:</h3>

B) 6 hours

<h3>Step-by-step explanation:</h3>

Let h represent the total trip time. Then h/2 is the time spent traveling at each speed. The distance covered is ...

... distance = speed · time

The sum of the distances in each mode is the total distance.

... 1020 = 55·h/2 +285·h/2

... 2040 = h·(55+285) . . . . multiply by 2

... 2040/340 = h = 6 . . . . . . . divide by the coefficient of h

The trip took a total of 6 hours.

4 0
3 years ago
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