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Nataliya [291]
3 years ago
14

Translate this phrase into an algebraic expression. Six more than the product of 9 and Goran's age Use the variable g to represe

nt Goran's age.
Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0
9g+6 is the expression you’re looking for
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What figure can be made with exactly 420 squares?
Natali [406]
5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.

_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
4 0
2 years ago
Find the perimeter of the figure to the nearest hundredth.
babunello [35]

Answer:

50.28 inches

Step-by-step explanation:

From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2

Radius= 9in

C= 2πr

C=2*3.142*9

C=2*3.142*9

C= 56.556 inches

Hence the length of the arc is

=56.556/2

=28.278 inches

The perimeter of the shape

=28.278+5+12+5

=50.28 inches

8 0
2 years ago
Find the distance between (16,12) and (0,0)
Natasha_Volkova [10]

Answer:

3/4 using equation y2-y1/x2-x1

Step-by-step explanation:

Use the equation y2-y1/x2-x1

x1, y1  x2, y2

(16,12) (0,0)

0-12/0-16= -12/-16= 3/4

7 0
3 years ago
18 ÷ -3 - -12 x -1 x -11 (the x is times, please solve)
Elena L [17]
126
Explanation
18/-3-(-12)•(-1)•(-11)
divide 18 by -3 and change signs on the 12
(-6)+12•(-1)•(-11)
multiply 12 and -1
(-6)+(-12)•(-11) then multiply -11 and -12
-6+132
126
5 0
2 years ago
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox
jeka57 [31]

Answer:

(D)80 ft³

Step-by-step explanation:

The volume volume of the sandbox is = L × W × H

Where L = Length, W= width, H= Height.

A sandbox has the same shape as a cuboid.

A cuboid is a solid shape with rectangular base and sides. It has six rectangular faces if all sides are closed.

From the question,

LWH = 10ft³ ........................ (1).

If a similar sandbox twice as long, twice as wide and twice as high.

∴ L₍n₎= 2L, W₍n) =2W, H₍n₎ = 2H

Where L₍n₎, W₍n), H₍n₎ is the new Length,  new Width and  new Height of the similar sandbox.

∴L₍n₎ ×W₍n)× H₍n₎  = 2L × 2W × 2H

   and Volume of the new sandbox = L₍n₎ ×W₍n)× H₍n₎

 ⇒Volume of the new sandbox = 2 × 2 ×2 ×L×W×H

     Volume of the new sandbox = 8 × LWH....................(2)

    In equation(1) LWH = 10ft³.

     Substituting the value in equation(2)

    ∴Volume of the new(similar) sandbox= 8 × 10

       =80ft³.

Therefore the capacity of the second sandbox in cubic feet is 80.

The answer is option (D).

     

7 0
3 years ago
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