The larger nail is a dilation of the smaller nail.



Select all statements that are true.

Answer:

f = 10·√3/3 ≈ 5.774

d = 5·√3/3 ≈ 2.887

Step-by-step explanation:

The given parameters are;

The angles opposite the 90°, right angle, = 60° and 30°

The length of the leg opposite the 60° angle = 5

Therefore, by Pythagorean Theorem, we have;

f² = d² + 5²

However, by trigonometry, we have;

sin(θ) = Opposite/Hypotenuse

For the angle of the triangle, θ = 30°, we have;

sin(30°) = d/f = 0.5

∴ d = f × 0.5 = 0.5·f

Substituting the value of d in the equation given by Pythagorean Theorem, we have;

f² = (0.5·f)² + 5² = 0.25·f² + 5²

f² = 0.25·f² + 5²

f² - 0.25·f² = 5²

0.75·f² = 5²

f² = 5²/0.75 = 100/3

f = 10/√3 = 10·√3/3

f = 10·√3/3

d = f × 0.5 = 10·√3/3 × 0.5 = 5·√3/3

d = 5·√3/3.

Answer:

B. (5x - 4)(3x + 2)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] 15x² - 2x - 8

The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.

So,

[tex] \longrightarrow [/tex] 15x² + (10 - 12)x - 8

[tex] \longrightarrow [/tex] 15x² + 10x - 12x - 8

[tex] \longrightarrow [/tex] 5x(3x + 2) - 4(3x + 2)

[tex] \longrightarrow [/tex] (5x - 4)(3x + 2)

Answer:

3

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

3

Step-by-step explanation:

Answer:

X=9 so D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

70 and 12x + 2 are same- side interior angles and are supplementary, thus

12x + 2 + 70 = 180 , that is

12x + 72 = 180 ( subtract 72 from both sides )

12x = 108 ( divide both sides by 12 )

x = 9 → D

Answer:

Step-by-step explanation:

-2mi 0.000000yd

Replace y with 200 ( amount of water in the tank) and solve for x:

200 = 450 -20x

Subtract 450 from both sides:

-250 = -20x

Divide both sides by-20:

X = 12.5

The answer is A. 12.5 minutes

Answer:

£300.

Step-by-step explanation:

He has £900 left after paying rent.

The fraction he spends on bills = 3(4+3+2)

= 3/9

= 1/3.

So he spends 900 * 1/3 = £300 on bills.

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]3x+2y+7=5x+3y+10[/tex]

2) Subtraction Property of Equality (subtract 2y from both sides):

[tex]3x+7=5x+y+10[/tex]

3) Subtraction Property of Equality (subtract 5x from both sides):

[tex]-2x+7=y+10[/tex]

4) Subtraction Property of Equality (subtract 10 from both sides):

[tex]-2x-3=y[/tex]

5) Symmetric Property:

[tex]y=-2x-3[/tex]

6) Slope-intercept form:

[tex]y=mx+b\text{, where $m$ is slope and $b$ is y-intercept.}[/tex]

7) Substitution:

[tex]m=-2[/tex]

Answer:

3 students

Step-by-step explanation:

Twice as many students go to the park than to the theater :

Let number who go the theater = t

Number who goes to park = 2t

5 more students go to the theater than to the museum

Number who goes to museum = t - 5

If number of students who goes to park = 16

How many students goes to the museum :

2t = 16

t = 16/2

t = 8

Number who goes to museum = t - 5

t - 5 = 8 - 5 = 3

Hence, number of students who goes to the museum = 3

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

Answer:

the answer is -13.64 i just took the test and it right promise.

Step-by-step explanation:

mark me as brainliest pls its right

Answer:

The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6

Answer:

117 i think

Step-by-step explanation:

because you need to find the distance from a to b which is 13 units

then you need to find the distance from b to c which is 9 units

and then 9 x 13 is 117

Answer:

-4  and 3

Step-by-step explanation:

-4+3 would equal -1.

Then, -4*3 would be -12.

Answer:

A) 1325 lbs. B) 10s+15l

Step-by-step explanation:

One small box: 35 lbs (s)

One large box: 65 lbs (l)

If you want to find the total weight for 10 small boxes and 15 large boxes, set up the equation.

10s+15l. This equation is also the answer to part B.

We already know s and l (the weights of the boxes) so plug the values in.

we get:

350+975.

Now add them to get the total weight.

The total weight is 1325 lbs.

Answer:

4

Step-by-step explanation:

+

that is as simple as I could put it you literally just need to count the skulls

Step-by-step explanation:

There are several ways to solve this, but the only one I remember how to do is with the pythagorean theorem. The distance between A and B is the same as a hypotenuse of a triangle with a height the absolute value of y1-y2 and a base of the absolute value of x1-x2.

For example, in the first question, the coordinates are (1,2) and (9,8), so we have a triangle with base 8(9 - 1) and 6(8 - 2). Now we just need to plug that into the pythagorean theorem like so:

[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]

or plugging our numbers in,

[tex]8^{2} + {6}^{2} = 100[/tex]

The answer is the radical of the answer, in this case 10.

So if this makes sense, go ahead and try to work the next three out on your own, and if you still need help let me know <:

Hope this helps Bucke!

Answer:

Top right i believe

Step-by-step explanation: the elements that make up life are carbon, hydrogen, oxygen, nitrogen, phosphorus, and sulfur.

Answer:

A

Step-by-step explanation:

Answer:

32.43 increase

Step-by-step explanation:

The answer is-

x^2−x−6

Answer:

$63.89

Step-by-step explanation:

59.99 * 6.5% = 3.89935. we can round that to $3.90.

59.99 + 3.90 = $63.89 total

Answer:

$3.90

Step-by-step explanation:

6.5% of $59.99 is $3.90.

Feel free to give brainliest.

Have an outstanding day!

There are more atoms in a human body because 7.5*10^18 is less than 7*10^27.

Answer:

-2

Step-by-step explanation:

Answer:

it is wrong because he forgot to subtract the 5x

Step-by-step explanation:

I think this right I really hope it is though :-)

Answer:

csgrerhhhrsdShuavkilrqadccddvny

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

So basically the graph starts at 1=-3, 2=-1, 3=1 and so on because of this we now that the graph is going up by two therefore it's B

Answer:

9x -5

1/2(6x +22)

2(x-7)-9

x2 -11

4 intersection points

Answer:

15

Step-by-step explanation:

120=8x-10

130=8x

15=x

Answer:

x=15

sorry that should be right now tho