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malfutka [58]
3 years ago
6

Use the GCF and the distributive property to find the expression that is equivalent to 18+27.

Mathematics
2 answers:
wlad13 [49]3 years ago
7 0

Answer:45

hav a terrible Christmas!

viktelen [127]3 years ago
4 0
The answer is 45!
Merry Christmas
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Evaluated to square ​
denis-greek [22]

Step-by-step explanation:

The square root of a number is a number that you can square to get it, that is, a number that you can multiply by itself to get the number. So, 2 is a square root of 4, because 2 x 2 = 4, and 3 is a square root of 9, because 3 x 2 = 9.

3 0
3 years ago
Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?
expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with \alpha.

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of  \alpha by using arctangent:

\alpha= arctan(\frac{opposite}{adjacent})

In this case you can identify that:

opposite=260\\adjacent=270

Therefore, substuting values into  \alpha= arctan(\frac{opposite}{adjacent}), you get that the angle of depression is:

 \alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°

4 0
3 years ago
A test driver has to drive a car on a 1-mile track for two rounds in a way, that his average speed is 60 mph. On his first round
Volgvan

to average 60 mph for 2 laps his total speed needs to equal 60 x 2 = 120

his first lap was 40 so his 2nd lap needs to be 120-40 = 80 mph

3 0
3 years ago
HURRY LIMITED TIME
lakkis [162]
If g is the gallons of gas, and the truck holds up to 20 gallons, then g can be anything from 0 to 20.

If there is zero gallons of gas (g = 0) then the truck will travel zero miles because M(0) = 17(0) = 0.

The max miles depends on the max gallons of gas, so the miles possible with 20 gallons is M(20) = 17(20) = 340.

So, g ranges from 0 to 20 and M(g) ranges from 0 to 340.
Therefore your answer is the last option.
8 0
3 years ago
Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.
grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

m=\frac{6-4}{3+3}

m=\frac{2}{6}

simplify

m_a=\frac{1}{3}

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

m=\frac{3+3}{-8+10}

m=\frac{6}{2}

m_b=3

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

m=\frac{-4-5}{3-0}

m=\frac{-9}{3}

m_c=-3

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

m=\frac{-4+7}{13-4}

m=\frac{3}{9}

simplify

m_d=\frac{1}{3}

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

m_a=\frac{1}{3}

m_b=3

m_c=-3

m_d=\frac{1}{3}

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0
3 years ago
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