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balu736 [363]
3 years ago
9

Solve the inequality:

="4x+3\ \textgreater \ 19" alt="4x+3\ \textgreater \ 19" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

x > 4

Step-by-step explanation:

4x + 3 > 19

4x + 3 - 3 > 19 - 3

4x > 16

4x/4 > 16/4

x > 4

Hope this helps.

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What is the area of a 45 degree sector of a circle with a radius of 12 in.
Elodia [21]

given ,

a circle of radius 12 inches

and \theta = 45°

now we know that ,

\\{Area \: of \: sector =  \frac{\theta}{360\degree}  \times \pi \: r {}^{2} } \\  \\

let's now plug in the values of radius and theta as 12 inches and 45° respectively ,

\\\dashrightarrow \:  \frac{45}{360}  \times  \frac{22}{7}  \times 12 \times 12 \\  \\ \dashrightarrow \:  \frac{1}{8}  \times  \frac{22 \times 12 \times 12}{7}  \\  \\ \dashrightarrow \:  \frac{22 \times 12 \times 12}{56}  \\  \\ \dashrightarrow \:  \frac{3168}{56}  \\  \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)

hope helpful :D

6 0
3 years ago
Find the value of x
Vilka [71]
<span>An exterior angle of a triangle is equal to the sum of the opposite interior
angles  </span>⇒  x = 30 + 90 = 120°
6 0
3 years ago
Round the decimal 0.575 to the nearest hundredth
soldier1979 [14.2K]

Answer:

0.58

Step-by-step explanation:

hundredths place is 2 after the decimal

any number 5 or higher will round up

so the 7 rounds up to a 8

Hope this helps!

7 0
3 years ago
Read 2 more answers
A first number plus twice a second number is 4. Twice the first number plus the second totals 20. Find the numbers
pychu [463]

Answer:

The first number is 6

The second number is -1

6+(-2)=4

6*2=12 12+(-1)=11

Step-by-step explanation:


4 0
3 years ago
Help again and thanks..........
LenKa [72]

Answer:

  • a = $8
  • s = $5

Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

  • ax +by = c
  • dx +ey = f

are ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

Using that rule here, we find ...

  ∆ = 5·3 -6·2 = 3

  a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

  s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

_____

Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

_____

<em>Comment on the question</em>

We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.

6 0
3 years ago
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