62% of what number is 186

m∠R = 110° and m∠S = 110°

Solution:

Given data:

RSWY is a parallelogram.

∠R = (5x – 90)° and ∠S = (2x + 30)°

In RSWY, ∠R and ∠S are opposite angles.

Opposite angles of a parallelogram are congruent.

m∠R = m∠S

(5x – 90°) = (2x + 30)°

5x° – 90° = 2x° + 30°

Add 90° on both sides of the equation, we get

5x° = 2x° + 120°

Subtract 2x° on both sides of the equation, we get

3x° = 120°

Divide by 3 on both sides of the equation.

x° = 40°

Substitute x = 40 in m∠R and m∠S.

m∠R = (5x – 90)°

         = 5(40°) – 90°

m∠R = 110°

m∠S = (2x + 30)°

         = 2(40°) + 30°

m∠S = 110°

Hence m∠R = 110° and m∠S = 110°.

Answer:

3x − y = 5,

2x + 3y = −15

Which value can the first equation be multiplied by to form opposite values on the y-term? 3

The solution to the system of equations is (0, -5).

Multiply by 3.

Solution is x=0, y=-5.

The coefficients of y are -1 and 3.

If we multiply the first equation by 3. Then the coefficients of y will be 3 and -3. They are opposite values.

After multiplying the first equation by 3 we get:

[tex]3(3x - y) = 3(5)\\9x-3y=15[/tex]

Then we add it with the second equation.

[tex]9x-3y+2x+3y=15-15\\11x=0\\x=0[/tex]

Using x=0 in 3x - y = 5 we get:

[tex]3(0) - y = 5\\0-y=5\\y=-5\\[/tex]

Solution is x=0, y=-5.

Learn more: https://brainly.com/question/13769924

Answer: The height of the tree is 64.94ft

Step-by-step explanation:

Using the trigonometry of angles

Tan theta = opposite/adjacent

Tan 33° = height of the tree/100

Height of the tree= tan 33° * 100

= 0.6494*100

= 64.94ft

The height of the tree is 64.94ft

Answer:

36.90 = (369/10)

-1

Step-by-step explanation:

because 1 - 2 is -1

Answer:

3,420

Step-by-step explanation:

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 28\frac{1}{2}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:120=\frac{120}{1}\\=\frac{57}{2}\cdot \frac{120}{1}[/tex]

[tex]\mathrm{Cross-cancel\:common\:factor:}\:2\\=\frac{57}{1}\cdot \frac{60}{1}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{57\cdot \:60}{1\cdot \:1}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:57\cdot \:60=3420\\=\frac{3420}{1\cdot \:1}\\ \\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\3420[/tex]

Hope this helps you!

Have a good night!

Answer:

Step-by-step explanation:

a) no angles are described or shown

__

b) Opposite sides are the same length, so we have ...

  3x -21 = 34

  3x = 55 . . . . . . . add 21

  x = 55/3 = 18 1/3 . . . . . divide by 3

and

  4y +32 = 62

  4y = 30 . . . . . . . . subtract 32

  y = 15/2 = 7 1/2 . . . . divide by 4

__

c) The perimeter is the sum of the side lengths, so is ...

  P = 2(L+W) = 2(62 +34) = 192 . . . units

The area is the product of adjacent side lengths, so is ...

  A = LW = 62·34 = 2108 . . . square units

Answer:

the equasion of q is y=8/9x + 7/9

Step-by-step explanation:

1. to find the slope perpendicular to the slope of the first equasion, you have to find the negative recipocal, an easy way to find that is to switch the numerator and denominator of the slope as well as multiplying it by -1

2. now that you have found the slope that is perpendicular, your second equasion so far is y= 8/9x, to find the y-intercept, you plug in (7, 7) to x and y, making the equasion 7=8/9(7) + x, in this equasion x is the y intercept

3. when you solve for x for finding the y-intercept, x=7/9, which makes the equasion y=8/9x + 7/9

Radius- 5

The radius is half, so if you want to find the radius, you have to see what if half of the diameter, which is 10. So 10 divided by 2 is 5 which is the radius. Easy.

The given terms combine to form 9.047 in decimal form. The mathematical conversions are based on division by powers of ten and understanding how to move the decimal point for correct place value representation.

The question asks us to express a sum of three terms in decimal form. The terms are: 9x1, 4x1/100, and 7x1/1000.

To simplify, the first term is just 9, as anything multiplied by one remains unchanged.

The second term, when simplified, is 4 divided by 100, which is 0.04.

The third term, 7 divided by 1000, simplifies to 0.007. Adding these three numbers together gives us the decimal form of the expression.

Using the knowledge of powers of ten, we know that dividing by powers of 10 moves the decimal point to the left a number of places equal to the exponent.

For instance, when we divide 1.9436 by 1000, we get 0.0019436.

Converting whole numbers to decimals and vice versa involves moving the decimal point and keeping track of the moves with powers of ten, as seen with the example of 965 becoming 9.65 x 10².

With this understanding, the sum of the terms is as follows: 9 + 0.04 + 0.007, which equals 9.047. This combines whole numbers and decimal fractions into one rounded decimal form.

Answer:

1296π m^3

Step-by-step explanation:

The volume of a cylinder is given by

V=πr^2h

We are given the diameter.  To find the radius, divide the diameter in half.

r = d/2 = 24/2 = 12

Substituting in what we know

V = pi * (12)^2 * 9

V = pi *1296 m^3

Answer:

V=1296π m3

Step-by-step explanation:

3.14(12)^2(9)

3.14(144)(9)

3.14(1296)

There are 453.592grams in 1 pound

in one pound their are 453.59237 grams.

and as my estimate is 454 grams

I hope this helps

Answer:

16 and -15

Step-by-step explanation:

Let the numbers be x and y

x+y = 1 ..............(1)

5x + 4y = 20 .........(2)

Solve simultaneously using elimination method by multiplying equation 1 by 5 to eliminate x

5x + 5y = 5

5x + 4y = 20.   Subtract the eqns from each other

---------------------

5y - 4y = 5-20

y = -15

Put value of y into equation 1

x+y = 1

x -15 = 1

Add 15 to both sides

x = 1+15

x = 16

Therefore the numbers are 16 and -15

I hope this was helpful, please mark as brainliest

Answer:

The coordinates of ABCD after  the reflection across the x-axis would become:

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y)        →       P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y)        →       P'(x, -y)

A(2, 3)       →       A'(2, -3)      

B(5, 5)       →       B'(5, -5)

C(7, 3)        →      C'(7, -3)

D(5, 2)       →       D'(5, -2)

Therefore, the coordinates of ABCD after  the reflection across the x-axis would become:

Answer: while earning interest at this rate, the total balance that will be found in the account will be $15,500

Step-by-step explanation:

Before calculating the amount that the sum will grow to after two years, we need to input the formula for calculating simple interest since what the pension fund agreed to pay is a simple if interest if 12%.

Simple interest (S.I) = [Principal(P) × Rate(R) × Time(T)]/100

In this case, the amount deposited initially us $12,500, this is therefore the principal (P). The pension fund agreed to pay a simple interest of 12%, this is then the rate(R). The investment is for a period of two years, this is the time, (t).

S.I = (12,500 × 12 × 2)/100

= $3,000

This is the total interest the deposit will yield. We then add this interest to the initial deposit of $12,500 to find the total amount that will now be in the account after the two years.

$12,500 + $3,000

= $15,500

The total balance in the account after the period of two years is $15,500

Final answer:

$15,500.

Explanation:

Danny is looking to calculate the final balance of his pension fund after two years of earning simple interest at a rate of 12% annually on a principal investment of $12,500. To determine the final balance, we need to use the formula for calculating simple interest:

Simple Interest = Principal × Interest Rate × Time

In this case, Principal is $12,500, the Interest Rate is 12% per year (or 0.12 when converted to a decimal), and Time is 2 years. So the calculation would be as follows:

$12,500 × 0.12 × 2 = $3,000

This means that the interest earned over two years is $3,000. To find the total balance after two years, this interest amount is added to the original deposit:

$12,500 + $3,000 = $15,500

Answer:

The answer is n < -7

Step-by-step explanation:

First, you have to move all the numbers to one side:

(-5) - (-7) > 9 + n

-5 + 7 > 9 + n

9 + n < 2

n < -7

(Hope this can help)

Answer:

Radius  =  7 cm

Diameter  =  7 cm  ×  2  =  14 cm

Step-by-step explanation:

The radius of the circle is 7 cm, and the diameter is 14 cm.

Given that the radius (R) of a circle is 7 cm, we can determine both the radius and diameter of the circle.

Radius: The radius is the distance from the center of the circle to any point on its boundary. Thus, the radius provided is 7 cm.

Diameter: The diameter is twice the radius, as it stretches from one edge of the circle to the other, passing through the center. Therefore, the diameter is calculated as follows:

Diameter = 2 × Radius

Diameter = 2 × 7 cm

Diameter = 14 cm

So, the diameter of the circle is 14 cm.

To summarize, the radius is 7 cm and the diameter is 14 cm.

The side AB measures option 2. [tex]\sqrt{20}}[/tex] units long.

Step-by-step explanation:

Step 1:

The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).

The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.

To calculate the distance between two points, we use the formula [tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}.[/tex]

where ([tex]x_{1},y_{1}[/tex]) are the coordinates of the first point and ([tex]x_{2},y_{2}[/tex]) are the coordinates of the second point.

Step 2:

For A (4, 5) and B (2, 1), ([tex]x_{1},y_{1}[/tex]) = (4, 5) and ([tex]x_{2},y_{2}[/tex]) = (2, 1). Substituting these values in the distance formula, we get

[tex]d=\sqrt{\left(2-4\right)^{2}+\left(1-5}\right)^{2}} = \sqrt{\left(2\right)^{2}+\left(4}\right)^{2}}=\sqrt{20}}.[/tex]

So the side AB measures [tex]\sqrt{20}}[/tex] units long which is the second option.

Answer:

-5x + 5/6 (Could also be written like: 5/6 - 5x )

Step-by-step explanation:

−6x+8/6−3/2x−1/2+5/2x

First add like terms

−6x−3/2x+5/2x = -5x

8/6−1/2=5/6

Then put the two answers together to form completed simplified equation.

-5x + 5/6 (Could also be written like: 5/6 - 5x )

Hope this helped!

Answer:

-5x + 5/6

Step-by-step explanation:

-6x + 8/6 + (-3/2x) + (-1/2) + 5/2x

-6x + (-3/2x) + 5/2x + 8/6 + (-1/2)

-7 1/2 + 2 1/2x + 1 2/6 + (-1/2)

-5x + 8/6 + (-1/2)

-5x + 5/6

Please tell me if I'm wrong, maybe consider brainliest.

Answer:

X = 9

Step-by-step explanation:

| | Wearing a Watch | Not Wearing a Watch |

|------------|-----------------|---------------------|

| Wearing a Belt | 43.36% | 22.38% |

| No Belt | 20.28% | 13.99%

The Breakdown

To create a relative frequency table, we need to calculate the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.

First, let's calculate the total number of people:

Total = 62 + 32 + 29 + 20 = 143

Now, let's calculate the percentages:

Percentage of belt wearers who wear a watch:

= (Number of belt wearers who wear a watch / Total) × 100

= (62 / 143) *×100

≈ 43.36%

Percentage of belt wearers who do not wear a watch:

= (Number of belt wearers who do not wear a watch / Total) × 100

= (32 / 143) × 100

≈ 22.38%

Percentage of people without belts who wear a watch:

= (Number of people without belts who wear a watch / Total) × 100

= (29 / 143) × 100

≈ 20.28%

Percentage of people without belts who do not wear a watch:

= (Number of people without belts who do not wear a watch / Total) × 100

= (20 / 143) × 100

≈ 13.99%

Using these percentages, we can create the relative frequency table:

| | Wearing a Watch | Not Wearing a Watch |

|------------|-----------------|---------------------|

| Wearing a Belt | 43.36% | 22.38% |

| No Belt | 20.28% | 13.99% |

This table shows the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.

Answer:

speed in meters per seconds = 5x

speed in kilometers per hour = 18

Step-by-step explanation:

The speed is the distance over the time

Given the speed of the stone x meters in 0.2 seconds

So, speed = [tex]\frac{x}{0.2}[/tex] = [tex]\frac{5*x}{5*0.2} = \frac{5x}{1}[/tex] = 5x meters per seconds

To convert from meters per seconds to kilometers per hour :

1 kilometer = 1000 meters ⇒ 1 meters = 0.001 kilometer

1 hour = 3600 seconds ⇒ 1 second = 1/3600 hour

[tex]\frac{meter }{second } = \frac{0.001\ km }{(1 /3600) \ hour} =\frac{3600}{1000} \frac{km}{hour} = 3.6 \ km/hour[/tex]

So, 5x meters per seconds = 5x * 3.6 = 18 kilometers per hour

Final answer:

Calculate the speed of the stone in meters per second and kilometers per hour based on the given distance and time traveled.

Explanation:

The speed of the stone can be calculated as follows:

Speed in meters per second = Distance / Time = x / 0.2 seconds

Speed in kilometers per hour = (x / 0.2) * 3.6

Answer:

Mr. Reynolds used 32 ounces of peanuts to make trail mix.

Step-by-step explanation:

One pound is equal to sixteen ounces! Simply, multiply the number of pounds by 16!

2 pounds x 16 ounces = 32 ounces

Hope this helps! :)

Answer:

I think the answer is -3, i'm not sure tho :(

Step-by-step explanation:

Answer: -17.425

Step-by-step explanation:

Answer:

The answer is 12 x 5= 60

Step-by-step explanation:

Each number from the 5 digits becomes used with each other number that is used 5 x. This creates 4*2 =16 3^3=27 +2^3=16 +1^1 = 60

Y-intercept is 45

Slope: (50-45)/(0.5-0)=5/0.5=10

y=10x+45

Answer: a) y=10x+45

Answer:

A) 75 − s = c

20s + 30c = 1,870

Step-by-step explanation:

Let us call [tex]s[/tex] the number of standard edition games and [tex]c[/tex] the number of collectors edition games.

Each standard edition game has volume of 20 in³ and each collectors edition game has volume of 30 in³, together the shipping volume is 1870 in³; therefore,

[tex]20s+30c = 1870[/tex].

Also, the company receives a total of 75 copies of the game, which means

[tex]s+c =75.[/tex]

Thus, the system of equations representing the describing the situation are

[tex]20s+30c = 1870[/tex]

[tex]s+c =75,[/tex]

which from the given choices, matches choice A. ([tex]75-s=c[/tex] can be rewritten as [tex]s+c =75[/tex])