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Free_Kalibri [48]
3 years ago
14

Which of the following values of x will result in a true statement when

Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

-3(x-2)=9  Equation/Question

Step 2

-3(x-2)=9  Remove parenthesis

3x+6=9

Step 3

3x+6=9  Add -6

-3x=3

Step 4

−3x=3  Divide

answer

x=-1

Hope this helps

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In which quadrant do the points (-1,-2) and (-2,3) lie?​
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Answer: 3 for the first one. and 2 for the second

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3 years ago
The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
2 years ago
The school library has 286 books. If the school librarian buys 12 books eachmonth for five months, how many books will the libra
Maru [420]
\begin{gathered} \text{Initial numbers of books: 286 } \\ \text{Total number of books bought over a period of 5 months: 12 }\times\text{ 5 = 60} \\ \text{Total Number of Books in the Library is:  286 + 60 = }346 \end{gathered}

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2 years ago
Help solve this problem 429 × 23
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4 0
4 years ago
Read 2 more answers
If sin A = 8/17 and tan B = 40/9 and angles A and B are in Quadrant I, find the value of * tan(A + B) .
nirvana33 [79]

Step-by-step explanation:

tanA=8/15 and tan B=40/9

tan(A+B)=(tanA+tanB)/1-tanAtanB

(8/15+40/9)/1-(8/15×40/9)

=-672/185

3 0
3 years ago
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