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iogann1982 [59]
2 years ago
12

Work out the value of each expression if x=4 and y=6 i 3x+9 ii 4x-y

Mathematics
1 answer:
Sergio [31]2 years ago
4 0

Answer:

i) 21 and ii) 6

Step-by-step explanation:

i) If X=4 and Y=6, then:

3X+9, replacing X

3(4) + 9

12 + 9

21

ii) 4X-Y

   4(3) - 6

    12 - 6

     6

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A. 205.7 m^3
Gemiola [76]

Answer:  221.4 m³  If you are just looking for the volume of the triangular prism.

Step-by-step explanation:  Volume of the prism is the Area of the base times the height.

The Area of the triangular base = width × height ÷ 2

Width = 12m   height =  4.1m = 49.2m Divided by 2 =

24.6m² is the Area of the base

The height of the base is 9m

24.6 × 9 = 221.4 cubic meters

8 0
3 years ago
ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
FromTheMoon [43]

Answer:

  • 5.8206 cm
  • 10.528 cm
  • 23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

__

(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

__

(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

5 0
3 years ago
Hai came someone help I too lazy to do it...
baherus [9]

Answer: 4 Cups

I think in order to solve this, you would need to add up the fractions that they used. So it would be,

\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{7}{8}   Transform the Expressions

\frac{1+1}{4} +\frac{3+3+5+5+5+7}{8}    Calculate the sum

\frac{2}{4} +\frac{28}{8}    Reduce

\frac{1}{2}+\frac{7}{2}   Transform the Expression

\frac{1+7}{2}   Calculate

\frac{8}{2}  Reduce the Fraction

4

Please mark brainliest if this helped you :)

3 0
3 years ago
((8 ÷ 2 ( 3 + 3 ))) ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ Answer: ♫・*:.。. .。.:*・ Hewwo frwind! ♫・*:.。. .。.:* I know the answer i
Whitepunk [10]

Answer: it is 24 UWU

Step-by-step explanation:

4 0
3 years ago
15 is 60% of what number?
vlada-n [284]

Answer:

25

Step-by-step explanation:

6 0
3 years ago
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