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2 years ago

Simplify the following expression. (19x + 4y) + (49x + 32y)

Mathematics

1 answer:

Valentin [98]2 years ago

4 0

Answer:

68x + 36y

General Formulas and Concepts:

Order of Operations: BPEMDAS
Combining like terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(19x + 4y) + (49x + 32y)

<u>Step 2: Simplify expression</u>

Combine like terms (x): 68x + 4y + 32y
Combine like terms (y): 68x + 36y

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3 years ago

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Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

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we have

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substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

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3 years ago

Slope of (-3.6) and (-3,0)

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Answer:

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Step-by-step explanation:

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3 years ago

When 9/10 is divided by 2/5 , will the quotient be greater than 1 or less than 1.

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3 years ago

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Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

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