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3 years ago

15 POINTS!!!1 HELPPP!!!!!!

Mathematics

1 answer:

pav-90 [236]3 years ago

8 0

C it is systematic sampling

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KMZ~ KDH; find z. F 21 D 6x + 3 E 17 G 8x-1 C

Drupady [299]

Answer:

x=8

Step-by-step explanation:

Triangle DCE is similar to EGF

CE/EF=DE/EG

Substitute

(8x-1)/21=(6x+3)/17

Cross multiply

(8x−1)*(17)=(6x+3)*(21)

136x−17=126x+63

Subtract 126x from both sides

10x−17=63

Add 17 to both sides.

10x−17+17=63+17

10x=80

Divide both sides by 10.

x=8

6 0

3 years ago

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac

Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

$20x+50y\leq 400$

Larry must purchase at least nine items.

$x+y\geq 9$

Check both inequalities of all given ordered pairs.

For (5,6),

$20(5)+50(6)\leq 400\Rightarrow 400\leq 400$

$5+6\geq 9\Rightarrow 16\geq 9$

Point (5,6) satisfy both inequalities.

For (10,4),

$20(10)+50(4)\leq 400\Rightarrow 400\leq 400$

$10+4\geq 9\Rightarrow 14\geq 9$

Point (10,4) satisfy both inequalities.

For (20,0),

$20(20)+50(0)\leq 400\Rightarrow 400\leq 400$

$20+0\geq 9\Rightarrow 20\geq 9$

Point (20,0) satisfy both inequalities.

For (15,2),

$20(15)+50(2)\leq 400\Rightarrow 400\leq 400$

$15+2\geq 9\Rightarrow 17\geq 9$

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0

3 years ago

Tan(pi/2) = A)1 B) -1 C)0 D) Undefined

Alexus [3.1K]

Answer:

D) Undefined

Step-by-step explanation:

$\tan \: \bigg( \frac{\pi}{2} \bigg) = \infty \: or \: undefined\\$

5 0

3 years ago

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places

Leya [2.2K]

Answer:

θ = {(4/3 +2k)π, (5/3 +2k)π}

Step-by-step explanation:

From your knowledge of trig functions, you know that sin(60°) = sin(π/3) = (√3)/2. So, the angles of interest are in the 3rd- and 4th-quadrant and will have π/3 as their reference angle.

θ = 4/3π +2kπ, and 5/3π +2kπ

7 0

3 years ago

A person needs to pay TK. 500 to by pencils and TK. X for any additinal unit of pencil.If the cumstomer pays a total of TK. 4700

sp2606 [1]

Answer:

3.50

Step-by-step explanation:

First we take the 500 fee for purchasing pencils off of the total:

4700-500 = 4200

This means we pay 4200 for 1200 pencils; dividing this will tell us the amount per pencil, x:

4200/1200 = 42/12 = 21/6 = 7/2 = 3.5

Thus we pay 3.50 per pencil.

5 0

3 years ago