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creativ13 [48]
3 years ago
11

2a+6b=100 what is 5a+15b=?

Mathematics
2 answers:
algol [13]3 years ago
8 0

Answer:

Step-by-step explanation:Simplifying

2a + 6b = 100

Solving

2a + 6b = 100

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-6b' to each side of the equation.

2a + 6b + -6b = 100 + -6b

Combine like terms: 6b + -6b = 0

2a + 0 = 100 + -6b

2a = 100 + -6b

Divide each side by '2'.

a = 50 + -3b

Simplifying

a = 50 + -3b

Damm [24]3 years ago
7 0

Answer:

5(50x - 3bx + 50 - a) or 5(a + 3b) (Depending on the question and what is asked)

Step-by-step explanation:

2a + 6b = 100

a = 50-3b

b = 50/3 - 1/3a

replace

5a + 15b =

5*50-3b + 15*50/3 - 1/3a =

5(50x - 3bx + 50 - a)

^This would be the answer if we use the same value of a and b from the 2a+6b=100 equation.

If we use a unknown value for a and b. Then, the answer would be 5(a + 3b).

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Please identify the common angles and sides or if there are non. Explain all work please!
vova2212 [387]

Answers:

Common angles: ΔBGC and ΔGDC

Common sides: ΔGE and ΔAG

A common angle is a triangle that exists in two or both of the triangles.

Here, the common angles should be ΔBGC and ΔGDC.

These two angles are triangles, and they consist in both triangles.

A common side is when two angles have one vertex in the same area.

Here, we see that the common sides are ΔGE, because they intersect.

Another common side we see here is ΔAG, because they also intersect.

Hope this answer helps you!

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What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final
coldgirl [10]

Answer:

59.19 ft^2

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=7.2\ ft

\pi =3.14

substitute

A=(3.14)(7.2)^{2}

A=162.78\ ft^2

step 2

we know that

The area of a circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2

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