A piece of drill rod 2 ft 6 in. long is to be cut into pins, each 2 1/2 in. long.

A. Assume no loss in each cut. How many pins will you get?

B. Assume 1/16 in. waste in each cut. How many pins will you get?

Please explain how you got your answer for both A and B.
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Answer:

4√5

Step-by-step explanation:

Use Pythagorean theorem

a^2=21^2-19^2

a^2=441-19^2

a^2=441-361

a^2=80

a= √80

simplify

Answer:

C. Translation

Step-by-step explanation:

This is because the triangle is still in the same position, however, it has been shifted to the right five and up two.

Hope this helps!

All the love, Ya boi Fraser :)

Answer:

The answer is, q = 16.

Step-by-step explanation:

1) Divide both sides by 3.

[tex]q - 7 = \frac{27}{3} [/tex]

2) Simplify 27/3 to 9.

[tex]q - 7 = 9[/tex]

3) Add 7 to both sides.

[tex]q = 9 + 7[/tex]

4) Simplify 9 + 7 to 16.

[tex]q = 16[/tex]

Therefor, the answer is q = 16.

Answer:

q=16

Step-by-step explanation:

To solve this problem, you'll want to start by distributing the 3 to both q and -7, which will give you 3q-21=27. Then, you should add 21 to both sides, which will get the variable alone on one side of the equation. After that step, your equation should be 3q=48. Lastly, divide both sides by 3, which will give you the answer q=16!

Answer: 200 grams.

Step-by-step explanation:

80 x 5 = 400

400 divided by 2 = 200.

We need to find how much 5 oranges weighs by multiplying 80 by 5.

80x5=400

So 5 oranges weighs 400 grams. We also need to find the weight of one grapefruit. Since 5 oranges, or 400 grams, weigh the same as 2 grapefruits, we need to divide 400 by 2.

400/2=200

So each grapefruit weighs 200 grams.

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hope it helps

Answer

196

Step-by-step explanation:

Answer:

(0.5, 1)

Step-by-step explanation:

The coordinates of the image of the point D (0.5, 2 ) are 0.5 and 2.

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

The image of point D ( 0.5 , 2 ) is given so the coordinates of the point will be 0.5 and 2.

Hence the coordinates of the image of the point D (0.5, 2 ) are 0.5 and 2.

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Answer:

15xy-6x+5y-2

15xy+5y-6x-2

5y(3x+1) -2(3x+1)

(we pick one out of the (3x+1) brackets.

your final answer becomes:

(5y-2)(3x+1)

Answer:

(5y - 2)(3x + 1)

Step-by-step explanation:

Let's focus on those first two terms, 15xy and 6x. They have two factors in common, an x and a 3, giving them a greatest common factor of 3x. If we factor that out, the expression 15xy - 6x becomes 3x(5y - 2). Substituting that into our original expression, we get the new expression

[tex]3x(5y-2)+5y-2[/tex]

Let's group those last two terms to make our next step clearer:

[tex]3x(5y-2)+(5y-2)[/tex]

Now, each term has the factor (5y - 2) in common. We can pull it out to get the fully factored expression

[tex](5y-2)(3x+1)[/tex]

Answer:

x=7

Step-by-step explanation:

Answer:

[tex]1600\ \text{people per square mile}[/tex]

Step-by-step explanation:

Number of people per square mile in City A is 6000.

In terms of size City B is a dilation of City A with scale factor 1.5.

This means a length of 1 mile in city A would be 1.5 miles in city B.

So, [tex]1\ \text{mile}^2\text{ in City A}=1.5^2\ \text{mile}^2\text{ in City B}[/tex]

City B has [tex]\dfrac{3}{5}[/tex] of the population of City​ A.

So the population density of City B would be

[tex]\dfrac{\dfrac{3}{5}\times 6000}{1.5^2}=1600\ \text{people per square mile}[/tex]

The population density of City​ B is [tex]1600\ \text{people per square mile}[/tex].

Answer:

They are all positive because you must go right.

They are all negative because you must go down.

Step-by-step explanation:

Example. (1,-4)

You go over one.

Down 4

Answer:

x = 2.8

Step-by-step explanation:

x/7 = 0.4

multiply both sides by 7

0.4*7 = 2.8

x = 2.8

Answer:

x=2.8

Step-by-step explanation:

one side is divided by seven, lets undo that by multiplying both sides by 7

x/7=0.4

*7      *7

x=2.8

Answer:

a=−2

Step-by-step explanation:

Let's solve your equation step-by-step.

3a−6=−12

Step 1: Add 6 to both sides.

3a−6+6=−12+6

3a=−6

Step 2: Divide both sides by 3.

3a /3 = −6 /3

a=−2

Answer:

i think the answer is a. or b.

Step-by-step explanation:

Answer:

it is B = 470

Step-by-step explanation:

720 - 250 = 470

Answer:

It changed the type of feelings that the colonists had about their King.

Step-by-step explanation:

Thomas paines common sense pamphlets was a very bold move because at that time many people didn't have a lot of say in government subjects

The effect of it was that it promoted the equality message to the colonists and as such they started thinking more about equality among themselves.

Thus, this changed the type of feelings that the colonists had about their King.

Answer:

B 10/26

Step-by-step explanation:

Cosine is the adjacent side over the hypotenuse.

Step-by-step explanation:

cos A=base/hypotenuse

cosA=10/26 is your answer

Answer:

-4

Step-by-step explanation:

Use the formula y2-y1/x2-x1 to find the answer to a slope next time! :D

Answer:

I got 4 units

Step-by-step explanation:

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find [tex]x[/tex], we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.

This means that 9 should also be the side length of side AD, which we're given a value of [tex]x/3[/tex].

[tex]x/3=9[/tex]

Solve.

[tex]x=27[/tex]

Hope this helps!

Answer:

2x = 10

x = 10 / 2

therefore, x can be 5

Step-by-step explanation:

check

2*5 = 10

BRAINLIEST ARMYYY

Answer:

No because the a and b lengths are too big and the c length is too small

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 7.5^2 = 2.5^2

25 + 56.25 = 6.25

Answer:

about =502.65

Step-by-step explanation:

The perimeter of the new rectangle  is 23cm

Formula for perimeter is given by

Perimeter = 2(length  + width)

Perimeter = 2( 6 + 4)

Perimeter = 2 × 10

Perimeter = 20cm

If the length and width are enlarged by 1/2, we have

Perimeter  = 2( 6 + 4 +1/2)

Perimeter = 2( 10 + 0.5)

Perimeter = 2× 11. 5 = 23cm

Thus, the perimeter of the new rectangle  is 23cm

Learn more about perimeter of a rectangle here:

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Step-by-step explanation:

x+50 = 180 because asim circle

x =180-130

x=150

Answer:

f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

Using that, we can use this identity

[tex] \sin(x) = \cos(y) [/tex]

where x+y=90

[tex]22f - 1 + 7f + 4 = 90[/tex]

[tex]29f + 3 = 90[/tex]

[tex]29f = 87[/tex]

[tex]f = 3[/tex]