Using the diagram below, what is m< S to the nearest degree?
A) 64 degrees
B) 26 degrees
C) 67 degrees
D) 23 degrees

Answer:

2.0936 * [tex]10^{2}[/tex]

Hope that this helps!

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

Answer:

16.6

Step-by-step explanation:

Intensity = Voltage ÷ Electerical Resistance

Intensity = 120÷ 150

Intensity = 12/15

Intensity = 4×3/5×3

Intensity = 4/5

Intensity = 0.8 Amp

Answer:

n=2

1/2n-2-3=3-2n-3

1/2n+2n=3+2+3-3

2/1/2n=5

5/2n=5

n=5 multiply 2/5

n=2

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

h = 10 años

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

P = 40 años

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]

[tex]or \: m1 = \frac{5}{6} [/tex]

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

[tex]y + 2 = \frac{5}{6} x - 10[/tex]

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

A ' (4,0)

B ' (6,3)

C ' (3,4)

================================================

Explanation:

I'm assuming the center of dilation is the origin.

If so, then we multiply the scale factor 1/4 = 0.25 by each of the coordinates of the three points.

Point A(16,0) will move to A ' (4,0) since

Point B(24,12) will move to B ' (6,3) since

We have enough information to see that choice B is the final answer

If you wanted to keep going, then point C(12,16) will move to C ' (3,4) for similar reasoning/steps as the previous two points.

The resulting image triangle A'B'C' will have its side lengths 1/4 of that compared to the side lengths of the preimage triangle ABC.

The scale factor k is such that 0 < k < 1, which indicates the image will be smaller compared to the preimage. If k > 1, then the image would have been larger than the preimage.

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

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Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

Answer:

y=9.25

Step-by-step explanation:

5x+2y=20

5(.3)+2y=20

1.5+2y=20

2y=20-1.5

2y=18.5

y=18.5/2

y=9.25

Answer:

2/18 = 1/9

Step-by-step explanation:

She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.

2/18 = 1/9

Answer:

Step-by-step explanation:

Number less than 2 is 1.

Probability of 1 out of 6 is:

Probability of heads is:

The probability of both is:

We know that,

Volume of sphere = 4/3πr³

41572 = 4/3 × 22/7 × r³

41573 × 21/88 = r³

³√9,920.82 = r

21.48 cm = r

:)

The radius of a sphere with a volume of 41572 cm³ is,

⇒ 21.4 cm

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, To find the radius of a sphere with a volume of 41572 cm³, we can use the formula for the volume of a sphere as;

⇒ V = (4/3)πr³

where V is the volume and r is the radius.

Hence, We can rearrange this formula to solve for r:

⇒ r = ∛ (3V/4π)

Substituting the given volume, we have:

r = ∛ (3(41572)/4π)

r ≈ 21.4 cm

Therefore, the radius of the sphere to the nearest tenth of a centimeter is 21.4 cm.

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Answer:

(5,-3)

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

72π (I think)

Step-by-step explanation:

Think of it in terms of the entire circle. A semi-circle is just half a circle, so the area of a semicircle will be half of the area of the entire circle. The radius of the semicircle is 6, so the radius of the whole circle is 12. Then, we can do [tex]\frac{pi*r^{2} }{2}[/tex] to get the area of the semicircle is 72π. I'm pretty sure that's right. Let me know if I made a mistake somewhere.

Answer:

25%

Step-by-step explanation:

400/100•300/x=0.75

1.00-0.75= 0.25

25%

Answer:

25 percent of discount

Step-by-step explanation:

[tex]original_price=400\\final_price=300\\discount=100\\\\\frac{400*percent}{100}=100 =>percent=\frac{100^2}{400}=25[/tex]

Answer:

1

Step-by-step explanation:

Add teh exponents.

9^c * 9^-c = 9^(c - c) = 9^0 = 1

Answer:

[tex]midpoint = ( \frac{x _{1} + x _{2}}{2} , \: \frac{y _{1} + y _{2}}{2} ) \\ = ( \frac{7 + 9}{2} , \: \frac{4 + - 1}{2} ) \\ = (\frac{16}{2} , \: \frac{3}{2} ) \\ = (8, \: 1.5)[/tex]

Answer:

c = -31

Step-by-step explanation:

25=-3c-6+2c

25+6=-c

31=-c

c=-31

Answer:

Step-by-step explanation:

25=-3(c+2)+2c

25=-3c-6+2c

25=-c+6

25-6=-c

19=-c

-19=c

Answer:

Answer 93

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

These are alternate exterior angles and alternate exterior angles are equal if m is parallel to n

6x+5 = 7x-4

Subtract 6x from each side

6x -6x+5 = 7x-6x-4

5 = x -4

Add 4 to each side

5+4 =x-4+4

9 =x

Answer:

A

Step-by-step explanation:

Answer:

an = 80. 2^(n-5)

Step-by-step explanation:

r = a6/a5 =160/80 = 2

an = a5. r^(n-5)

= 80. 2^(n-5)

Answer:

D

[tex] \times area = area \: of \: trapezium + area \: of \: rectangle \\ = ( \frac{1}{2} \times h(a + b)) + (l \times w) \\ = ( \frac{1}{2} \times (11 - 6) \times (20 + 8)) + (20 \times 6) \\ = 70 + 120 \\ = 190 \: {m}^{2} [/tex]