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3 years ago

1. What is the least common multiple of 6 and 8?

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

Answer:

Step-by-step explanation:

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URGENT DUE IN 20 MINUTES FOR GRADE PLEASE HELP 2/3 (x-7)= -2

ASHA 777 [7]

2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4

7 0

4 years ago

What are the rounded answers to each question?

matrenka [14]

For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.

Step-by-step explanation:

Step 1:

In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.

To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.

$sin\theta= \frac{oppositeside}{hypotenuse}, sin39=\frac{x}{30}.$

$0.6293 = \frac{x}{30} , x = 18.879.$

GH measures 18.879 units. Rounding this off, we get 18.9 units.

Step 2:

Assume the side HI measures y units. According to Pythagoras' theorem,

$30^{2}= 18.879^{2} +y^{2} , y^{2}=30^{2}-18.879^{2}.$

$y^{2} = 543.5834, y = 23.314.$

So HI measures 23.314 units. Rounding this off, we get 23.3 units.

Step 3:

GHI is a triangle and all triangles have a total angle of 180°.

$\begin{aligned}&\angle G^{\circ}+\angle H^{\circ}+\angle I^{\circ}=180^{\circ},\\&\angle G^{\circ}+90^{\circ}+39^{\circ}=180^{\circ},\\&\angle G^{\circ}=180^{\circ}-129^{\circ}=51^{\circ}.\end{aligned}$

So ∠G° measures 51°.

5 0

3 years ago

A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 3/4 feet tall. What is the ratio of the height of the mo

madreJ [45]

Answer: 2:3.

Step-by-step explanation:

$\displaystyle\\\frac{The\ height\ of\ a\ model \ of \ a\ famous \ statue }{The\ height\ of\ the\ actual \ statue} =\frac{2\frac{1}{2} }{3\frac{3}{4} } \\\\\frac{\frac{5}{2} }{\frac{15}{4} } =\\\\\frac{5*4}{15*2} =\\\\\frac{2}{3}=2:3.$

3 0

2 years ago

A hole is 12 yards long 7 yards wide and 3 yards deep how many cubic yards of dirt will the company need to remove?

Katena32 [7]

Doesn't have dirt... it's a hole...

3 0

4 years ago

Read 2 more answers

if a wheel with a diameter of 10 feet spins at a rate of 5 revolutions per minute, find the approximate linear velocity in miles

slavikrds [6]

A) Linear velocity, v = ωr ω = Angular velocity, r = radius.

ω = 5 revolutions per minute. 1 minute = (1/60) hour. 

= 5*2π radians / (1/60) hour = 600π radians per hour π = 3.14 

= 600*3.14 = 1884 radians / hour

but radius, r = 10 feet, 5280 feet = 1 mile, 10 feet = (10/5280) mile 

Linear velocity, v = ωr

 v = 1884 radians / hour * (10/5280) mile 
 v ≈ 3.568 miles / hour

5 0

3 years ago