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VikaD [51]
4 years ago
15

Match each power of a power expression with its simplified expression.

Mathematics
1 answer:
Molodets [167]4 years ago
5 0

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Here, we want to match what we have on the left with the expressions on the right.

(-4^9)^2

= -4^18

(4^6)^-3

= 4^-18 = 1/4^18 according to laws of indices

(4^0)^-9 = 4^0

(4^-3)^-3

= 4^9

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8_murik_8 [283]

10. The volume of the triangular prism is V=A_{base}\cdot H=\dfrac{1}{2} height \cdot base\cdot H, then

V=\dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=23.1.

11. The volume of the triangular pyramid is V=\dfrac{1}{3}A_{base}\cdot H=\dfrac{1}{3}\cdot \dfrac{1}{2} height \cdot base\cdot H, then

V=\dfrac{1}{3}\cdot \dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=7.7.

12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.

13. See 10 and 11 for notations in symbols.

6 0
3 years ago
How to find degrees in triangle using trig?
nordsb [41]
Remember SOHCAHTOA

Sine- opposite/hypotenuse
Cosine- adjacent/hypotenuse
Tangent- opposite/adjacent

Look at the angle (x) you are trying to figure out and pick which one of these it is.

In your calculator, do the equation first to get a decimal

Then press whichever one you chose on the calculator, so if you got like 0.2 by doing opposite/adjacent for tangent, you would type in 0.2 and then the TAN button

hope this makes sense!!
8 0
3 years ago
Pls help]ppppppppp me
bazaltina [42]

Answer:

a. (2x - 3)(x - 4)

b. 17 m, 6 m

c. 46 m

Step-by-step explanation:

a.

2x² -  11x + 12 = (2x - 3)(x - 4)

b.

2x - 3 = 2(10) - 3 = 17

x - 4 = 10 - 4 = 6

c.

P = 2L + 2W = 2(17) + 2(6) = 46

8 0
2 years ago
One-half divided by three-fourths = StartFraction 1 Over a EndFraction times StartFraction b Over c EndFraction = StartFraction
lesya692 [45]

Answer:

A: 2

B:4

C:3

D:2

E:3

Step-by-step explanation:

I did the same thing!!! hope this HElps!!

4 0
3 years ago
Read 2 more answers
6. Leo earns $16/h as a gardener in a city
Katen [24]

a) He will earn $584 for working 36 hours.

b) He will earn $656 for working 39 hours.

c) He will earn $728 for working 42 hours.

Step-by-step explanation:

Amount per hour = $16

Time and a half means 1.5 times more than the original payment.

Therefore, above 35 hours, the earning for one hour,

Extra time per hour = 16*1.5 = $24

A) 36 h

For the first 35 hours, he will get $16 per hour, therefore,

Amount of 35 hours = 35*16= \$560

Amount of one hour = $24 (as calculated above)

Total = 560+24 = $584

He will earn $584 for working 36 hours.

B) 39 h

39 h = 35h + 4h

Amount of 35 hours = $560

Amount of extra 4 hours = $24*4 = $96

Total = 560+72 = $656

He will earn $656 for working 39 hours.

C) 42 h

42 h = 35h + 7h

Amount of 35 hours = $560

Amount of extra 7 hours = 24*7 = $168

Total = 560+168 = $728

He will earn $728 for working 42 hours.

Keywords: addition, multiplication

Learn more about addition at:

  • brainly.com/question/7888686
  • brainly.com/question/8224301

#LearnwithBrainly

7 0
4 years ago
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