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3 years ago

7

Mike is mixing paint for his walls. He mixes 1/6 gallon blue paint and 5/8 gallon green paint in a large container. What fractio

n represents the total amount of paint Mike mixes?

1 answer:

Reptile [31]3 years ago

8 0

1/6 + 5/8 =
8/48 + 30/48 = 38/48 reduces to 19/24 <==== total gallons of paint

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Nana76 [90]

Answer:

7/36

Step-by-step explanation:

find the LCD write all the numerators above the least common denominator

LCD is 36

4 +3 /36 =7/36

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3 years ago

what is an equation of the line that s perpendicullar to y-3=-4(x+2) and passes through the point (-5,7)

Sidana [21]

Answer:

4y=x+33

y=x/4+33/4 (slope-intercept form)

Step-by-step explanation:

y-3 = -4(x+2)

y-3 -4x-8

y= -4x-8+3

y= -4x-5

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For perpendicularity

m2= -1/-4 = 1/4

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3 years ago

Which circle is the graph of the equation (x - 3)2 + (y + 4)2 = 9?

lions [1.4K]

Answer:

a circle with center at (h, k) or (3, -4) and radius 3

Step-by-step explanation:

Next time, please share the answer choices.

(x - 3)^2 + (y + 4)^2 = 9 = 3^2

is a circle with center at (h, k) or (3, -4) and radius 3.

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4 years ago

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Vadim26 [7]

Answer:

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3 years ago

Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

A = 0.05 radians,
BC = height of building and
AB = 2 km = 2000 m

<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

r = radius and
Ф = angle in radians

<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

L = BC,
r = AB and
Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0

2 years ago