What is the measure of angle 1

Answer:

57:43

Step-by-step explanation:

1000 babies  - 430 baby boys = 570 baby girls

570 girls to 430 boys

570:430

simplify

57:43

Answer:

570/430 respectively

Step-by-step explanation:

1000-430(number of boys)=570(number of kids left so they must be girls)

570/430 is simplified by taking off each 0 and making it 57/43

The angle of elevation to the sun is mathematically given as

[tex]\theta=49.93[/tex]

Question Parameters:

A 107-ft-tall building casts a shadow of 90 ft.

Generally, the equation for the Trigonometry  is mathematically given as

[tex]tan\theta=\frac{opp}{adj}[/tex]

Therefore

[tex]\theta=tan^{-1}\frac{107}{90}[/tex]

[tex]\theta=49.93[/tex]

In conclusion,  the angle of elevation to the sun is

[tex]\theta=49.93[/tex]

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Using the slope concept, it is found that the angle of elevation to the sun is of 40º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 107 ft, while the horizontal change is of 90 ft, hence:

[tex]\tan{\alpha} = \frac{90}{107}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{90}{107}\right)}[/tex]

[tex]\alpha = 40^\circ[/tex]

The angle of elevation to the sun is of 40º.

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Answer:

2291.1

Step-by-step explanation:

Answer:

  2290 mm²  or  2289.94 mm²

Step-by-step explanation:

The radius of the outer circle is the sum of the inner radius and the width of the shaded area: 12.6 mm +17.2 mm = 29.8 mm.

The shaded area is the difference between the area of the outer circle and the area of the inner circle. The area of either circle is given by the formula ...

  A = πr²

so, the area of the ring is ...

  A = π(29.8 mm)² -π(12.6 mm)² = π(888.04 mm² -158.76 mm²)

  A = 3.14(729.28 mm²) = 2289.9392 mm²

The area is about 2289.94 mm², which rounds to 2290 mm².

_____

Comment on pi

In the calculation here, we have used the required value of pi. If we use one that is more accurate, we find the area to be about 2291.10 mm².

Look at the attached picture ⤴

hope it will help u....:)

The value of x in the equation  (x/7) + 9 = 15 is 42.

To solve for x in the equation (x/7) + 9 = 15, you can follow these steps:

Subtract 9 from both sides of the equation:

(x/7) + 9 - 9 = 15 - 9

(x/7) = 6

Multiply both sides of the equation by 7 to isolate x:

7 × (x/7) = 6 ×7

x = 42

Therefore, the solution to the equation is x = 42.

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Answer:

i think its 180

Step-by-step explanation:

u have to multiply 60 and 3 and u will get 180

The area of a circular playground with a diameter of 60 feet is calculated using the formula Area = π × radius². With a radius of 30 feet, the area is approximately 2826 square feet. Therefore, the area of the playground is about 2826 square feet.

To find the area of a circular playground, we first need to know its radius. Since the diameter of the playground is given as 60 feet, the radius (which is half the diameter) is:

The formula for the area of a circle is:

Using π as approximately 3.14, we can calculate the area:

Therefore, the area of the playground is about 2826 square feet.

Answer:

The equation that represents the amount Samuel earns per hour is "e = (total earned)/(total time worked)", on last weekend he earned 8.4 per hour.

Step-by-step explanation:

Since Samuel worked a total of 2 and 1/4 hours it means that he worked:

hours worked = 2 + 1/4

hours worked = 8/4 + 1/4

hours worked = 9/4

He earned a total of 18.9 working that many hours. If we divide the total amount he earned by the number of worked hours we can find the total he earns per hour.

e = (total earned)/(total time worked)

e = 18.9/(9/4)

e = 18.9*(4/9)

e = 75.6/9

e = 8.4 per hour

The equation that represents the amount Samuel earns per hour is "e = (total earned)/(total time worked)", on last weekend he earned 8.4 per hour.

Answer:

2.25 =18.90e

samuel earns $8.40 per hour

Step-by-step explanation:

Answer:

24-8 = 16 if u divide 16 by 4 u get 4 in each row

Step-by-step explanation:

Answer:

1 and 2

Step-by-step explanation:

Answer:

1. A TUNNEL WITH LEAKS

2. A BIG ELECTRIC BILL

Step-by-step explanation:

H = 60

A = 20

W = 7

S = 26

E = 62

U = 22

B = 100

G = 8

R = 5

T = 0

K = 24

N = 81

C = 90

I = 32

L = 1

There you have it.....

The initial question lacks the specificity needed for a detailed and accurate response. More information on the subject and grade level is required to provide relevant help.

Unfortunately, your question isn't clear enough for me to provide a concise and accurate answer. To ensure you get the help you need, please restate your question with more details, specifying the subject and grade level you're referring to. Once I have this information, I can offer you a more structured and detailed response that caters to your academic needs. Also remember, it's vital to review your questions for grammatical errors and make sure they're clear before posting, to ensure you receive the best possible responses.

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Answer:

3

Step-by-step explanation:

If 4 less than 3 times a certain number is 2 more than the number

Let the number be x

First, three times of number is 3x

Then 4 less will be (3x - 4)

Two more than number is (x + 2)

Hence the algebraic equation will be

3x - 4 = x + 2

Now solving this equation

3x - 4 = x + 2

3x - x = 2 + 4

2x = 6

x = 6 / 2

x = 3

Thus the number is 3

Answer:

the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Step-by-step explanation:

Answer: 2042.9

Step-by-step explanation: Round to the nearest tenths place or the (1 decimal place)

If the number is higher than 5, 6, 7, 8, or 9, round the number up. If not, then do not round it up.

I hope this helps!

Answer:

625

Step-by-step explanation:

Simplify the following:

7^2 + 24^2

7^2 = 49:

49 + 24^2

| 2 | 4

× | 2 | 4

| 9 | 6

4 | 8 | 0

5 | 7 | 6:

49 + 576

| 1 | 1 |  

| 5 | 7 | 6

+ | | 4 | 9

| 6 | 2 | 5:

Answer:  625

Answer:

it would be 625

Step-by-step explanation:

7 squared is 49 and 24 squared is 576. so if you do 49+576=625

Answer:

$15,267

Step-by-step explanation:

Kay earns $78,400 per year and gets a standard deduction of $5,700.

Her taxable income is amount of money that she can pay tax on and that is:

Income - Standard Deduction

= $78,400 - $5,700 = $72,700

She pays tax at a 21% rate, hence, her income tax is:

[tex]\frac{21}{100} * 72,700[/tex]

= $15,267

Her income tax is $15,267.

m∠LNM = 54°

Here is why:

In this photo there are two important angles with very important features, a central angle and an inscribed angle.

A central angle is an angle that is in the center of the circle, so angle P is a central angle. The arc that is associated with this angle is going to be the same measure as the central angle. I have labeled this in the photo below as blue.

An inscribed angle is an angle that lies on the circle, so angle N is an inscribed angle. The arc that is associated with this angle will be double the amount of the inscribed angle, or the angle is half of the measure of the arc. I have labeled this in the photo below as red.

Since we know that the central angle is 108°, with what we know about central angles we know that arc LM is going to be 108° as well.

We also know that an inscribed angle is half the amount of the arc so...

108 ÷ 2 = 54

m∠LNM = 54°

The measure of the angle ∠LNM will be 54°.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords. Then the equation is given as,

∠LNM = 1/2 ∠LPM

∠LNM = 1/2 x 108°

∠LNM = 54°

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Answer:

Archie:  x+20

Betty: 2x-5

Step-by-step explanation:

We are given that The number of cupcakes that  Archie sold can be given as 20 more than a number, x.

So, 20 more than  x = x+20

So, Archie sold cupcakes = x+20

We are also given that Betty  sold five fewer cupcakes than twice a number, x.

So,twice a number, x = 2x

Five fewer cupcakes than twice a number, x. =2x-5

So, Betty sold cupcakes = 2x-5

Hence an algebraic expression that can be used to represent the amount of cupcakes that each senior sold

Archie:  x+20

Betty: 2x-5

Answer:

The lateral area of the cylinder is 678 cm^2 to the nearest whole number

Step-by-step explanation:

Mathematically , the lateral area of a cylinder can be calculated using the formula

A = 2 π r h

where r is the radius = 9cm and h is the height = 12 cm

we are told to use a value of 3.14 for π

Thus the lateral area A is thus = 2 * 3.14 * 9 * 12 = 678.24 which is 678 cm^2 to the nearest whole number

Answer: 60 hours

(I'll help you with the first one only because you need to learn this)

Step-by-step explanation: 36 divided by 3 is 12 and 720 divided by 12 is 60

Answer: D

Step-by-step explanation: the temperature changes from 92° to  43°

so 92 - 43 = 49 meaning that the temperature changed 49 degrees in total and if it changed the same amount in the seven days you have to divide 49 by 7 = 7

C is wrong since it did change by 7 but the option to decrease is there and the temperature didn't increase or get warmer but instead decreased or became cooler so it is D

Answer:

I believe the answer is 32.

The value of diameter is,

⇒ d = 16 mm

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

We have to given that;

A cylinder has surface area of 256 π square millimeters and a height of 8 millimeters.

Since, We know that;

Surface area of cylinder is,

SA = 2πrh + 2πr²

Here, We have;

SA = 256π

h = 8 mm

Hence, We get;

256π = 2π × r × 8 + 2π × r²

128 = 8r + r²

r² + 8r - 128 = 0

r² + 16r - 8r - 128 = 0

r (r + 16) - 8 (r + 16) = 0

(r - 8) (r + 16) = 0

r = 8 mm

Hence, The value of diameter is,

d = 2 x 8

d = 16 mm

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Answer: 68 questions

Step-by-step explanation:

Given Data:

Exam questions = 75

Percentage needed by Mary for the quarter = 90%

therefore:

Total number of questions she needs to answer to get an A

= exam questions x percentage needed /100

= 75 * 90 / 100

= 6570 / 100

= 67.5

Approximately Mary needs to answer 68 questions correctly to score an A for the quarter

Answer:

nah bro thats demarcus

Step-by-step explanation:

Answer:

$0.27

Step-by-step explanation:

Multiply the cost of one button times the number of button desired

3 * .09 = .27

Answer:

.27

Step-by-step explanation:

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Answer:

89.5

Step-by-step explanation:

What is the median of 89,99,80,5,90,0,100,95

We should order this from least the greatest.

0,  5,  80, 89, 90, 95, 99, 100

The median is between 89 and 90

median = (89 + 90)/2  = 89.5

Answer:     V = 0.6 m.

Step-by-step explanation:

Volume = l x w x h

in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m                                                                                                                                                                                                

Volume is a measure of how much space something takes up and is usually measured in cubic centimetres ({cm}^3cm  

3

) or cubic metres ({m}^3m  

3

). Density is a measure of how tightly the mass of an object is packed into the space it takes up, so we calculate this by dividing its mass by its volume.

{density } = \dfrac{{mass}}{{volume}}density =  

volume

mass

​  

As a result, the units we used to measure density are compound units for more information, see here . The unit of choice will depend on what units are used to measure the values you’re given. If, in a particular question, mass is measured in kilograms and volume is measured cubic metres, then the density we calculate would be measured “kilograms per cubic metre”, which is denoted either by {kgm}^{-3}kgm  

−3

 or kg/m}^3kg/m  

3

. If the starting units were different, then the resulting unit of density would be different. Let’s see an example.

Example: An object has a mass of 570g and a volume of 2,280 cm}^3cm  

3

. Calculate its density.

As stated, density is equal to the mass divided by the volume, so this will be our calculation, but what will the unit of our answer be? In the question, the mass is given in grams and the volume in cubic centimetres, so the density should be in grams per cubic metre, which is denoted either like \{gm}^{-3}gm  

−3

 or {g/m}^3g/m  

3

.

{Density } = {570}{2,280} = 0.25{ g/m}^3Density =  

2,280

570

​  

=0.25 g/m  

3

Answer:

v= 0.6

Step-by-step explanation:

Answer:

58806

Step-by-step explanation:

multiply them together

The correct option is C.

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result. For example, 4 + 5 gives 9, and 5 + 4 also gives 9.

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Answer:

D) y= 3.75x

Step-by-step explanation:

The total cost is y, therefore you set the equation equal to y since you want to find the total cost of candy he purchased.

X is the number of pounds, and the candy is $3.75 each pound.

When you set up the equation, it is

y=3.75x

Which also means: the total cost of the candy depends on how many pounds (which is $3.75 per pound) he buys.

Answer:

6 in.

Step-by-step explanation:

[tex]A = r^2\pi[/tex]

[tex]R = \sqrt{\frac{A}{\pi } }[/tex]

[tex]R = \sqrt{\frac{113}{\pi } }[/tex]

[tex]R = \sqrt{36}[/tex]

[tex]R = 6[/tex]

We have been given diagram of a triangle. We are asked to write an expression that represents the distance between Seattle and San Francisco.

We will use law of cosines to solve our given problem.

[tex]c^2=a^2+b^2-2ab\text{cos}(C)[/tex], where a, b and c are sides corresponding to angle A, B and C.

Let the distance between Seattle and San Francisco be 'c' and [tex]C=21.4[/tex].

Using law of sines, we can set an equation as:

[tex]c^2=1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)[/tex]

Upon taking square root in both sides, we will get:

[tex]c=\sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)}[/tex]

Therefore, we can use the expression [tex]\sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)}[/tex] can be used to find distance between Seattle, WA, and San Francisco, CA.

Answer:

a

Step-by-step explanation: