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Reika [66]
4 years ago
5

(d+5)^2=36 Please show all steps to find the solution set

Mathematics
1 answer:
Ivan4 years ago
3 0

\sqrt{d + 5 =  \sqrt{36} }  \\ d + 5 =  +  - 6 \\ d  =  +  - 6 - 5 \\ d1 = 1 \\ d2 =  - 11
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Given a two-digit number, make a three digit number by putting a 6 as the rightmost digit. Then, add 6 to the resulting three di
VladimirAG [237]
By working backwards, 
<span>you get 76 as your answer because you have to remove the rightmost digit, right? so the three-digit number is </span>

<span>76x </span>
<span>(x stands for the rightmost digit, because we don't know what the rightmost digit is) </span>

<span>we are told we have to add six to the three digit number to get 76x, so we have to subtract 6 from 76x: </span>
<span>76x - 6 = ??? </span>

<span>since we assume that the original two-digit number is NOT 76, and any number from 760 to 765 inclusive minus 6 is logically in the 750-range, we can conclude that the original two-digit number is 75. </span>
5 0
3 years ago
Without using calculator find :<br> cos(225) sin(315) + sin( –270) tan(405)
Ronch [10]

Answer:

1.5

Step-by-step explanation:

225° bisects Q III

315° bisects Q IV

-270° = 90°

405° = 45° bisects Q I

cos(225) sin(315) + sin( –270) tan(405) = ?

      (-½√2)(-½√2) + 1(1) = ?

                          0.5 + 1 = 1.5

6 0
3 years ago
Read 2 more answers
The pot-belly seahorse is one of the largest seahorse species and is known for having a large belly. As a part of its diets, a p
choli [55]

Answer:

9 shrimp per day.

Step-by-step explanation:

63/7=9

9*7=63

4 0
3 years ago
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4. What are the last TWO DIGITS of 2^2017
goldfiish [28.3K]

Compute 2²⁰¹⁷ modulo 100.

From the given table,

2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)

and we have

2017 = 32 • 62 + 33

62 = 1 • 42 + 20

Then

2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2¹⁷ (mod 100)

and from the table, we get

2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)

8 0
3 years ago
Alfred and his 4 friends bought 13 1/4 of gummy bears at $1.20 a pound. If the cost of the gummy bears is divided evenly among a
evablogger [386]

Answer:

$3.98

Step-by-step explanation:

13.25 x 1.20 = $15.90

15.9 ÷ 4 = $3.98

3 0
3 years ago
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