How many inches are represented by 5 degrees on the rim of a 16-inch diameter flywheel

Someone help me please

yan [13]

Answer:

a) x = 7.5

b) x = 1

Step-by-step explanation:

a) $\frac{4x - 1}{2}$ = x + 7

4x - 1 = 2(x + 7)

4x - 1 = 2x + 14

4x - 2x = 14 + 1

2x = 15

x = 7.5

b) 3x + 2 = $\frac{2x + 13}{3}$

3(3x + 2) = 2x + 13

9x + 6 = 2x + 13

9x - 2x = 13 - 6

7x = 7

x = 1

REMEMBER: When moving numbers or symbols from one side of an equation to another, you must reverse the mathematical function (e.g. × becomes a ÷, and + becomes a -). A fraction is always a ÷, so when you move the denominator (bottom number), it becomes a ×.

7 0

3 years ago

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Please answer this question now in two minutes

tangare [24]

Answer:

ABC and DEF

Step-by-step explanation:

they are the only planes that can be parallel

6 0

3 years ago

Move the numbers to the table to arrange them in order from least to greatest.

777dan777 [17]

Answer:

-3/5

-1/2

-0.4

0.6

4/5

Step-by-step explanation:

For this question I converted the fractions to decimals.

-3/5 = -0.6

-1/2 = -0.5

4/5 = 0.8

Start off with the negatives, as they are the lowest numbers. The further they are from zero the lower they get.

-0.6 (-3/5)

-0.5 (-1/2)

-0.4

Now there are only 2 positive numbers, so order them.

0.6

0.8 (4/5)

Put it all together:

-3/5

-1/2

-0.4

0.6

4/5

3 0

3 years ago

If in a triangle ac= 15 and angle abc=60 degrees what is ab?

marin [14]

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

3 0

3 years ago

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with th

KatRina [158]

Answer:

21 weeks

Step-by-step explanation:

In this question, we are to use proportionality to find the solution to the question.

We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.

Let us make a mathematical representation for this.

Let the time be t, number of workers be w and length be l

t is directly proportional to l and inversely proportional to w

Mathematically;

t = kl/w

Where k is the constant of proportionality.

Let’s find the value of k

150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k

14 = k * 12/150

k = 150 * 14/12 = 175

Now we want to get t given w and l

from ;

t = kl/w

We can get t; where l = 15 and w = 125

t = 175 * 15/125

t = 21 weeks

4 0

3 years ago

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