Answers
Answer:
30 or younger
Step-by-step explanation:
Related Questions
Find the exact value of sin G.A. √1010B. 3√1010C. 4√10D. 160
Answers
Given the Right Triangle EFG, you know that:
\(\begin{gathered} EF=4 \\ EG=12 \end{gathered}\)By definition:
\(sin\theta=\frac{opposite}{hypotenuse}\)Since, in this case:
\(\theta=G\)You can identify that:
\(\begin{gathered} opposite=EF=4 \\ hypotenuse=FG \end{gathered}\)In order to find the hypotenuse of the Right Triangle, you need to use the Pythagorean Theorem, which states that:
\(c=\sqrt{a^2+b^2}\)Where "c" is the hypotenuse, and "a" and "b" are the legs of the Right Triangle.
You can set up that:
\(\begin{gathered} c=FG \\ a=EG=12 \\ b=EF=4 \end{gathered}\)Therefore:
\(FG=\sqrt{12^2+4^2}=4\sqrt{10}\)Now you can determine that:
\(sinG=\frac{4}{4\sqrt{10}}\)Simplify:
\(sinG=\frac{1}{\sqrt{10}}\)You can multiply the numerator and the denominator by:
\(\sqrt{10}\)In order to Rationalize the denominator:
\(sinG=\frac{1\cdot\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\)\(sinG=\frac{1\cdot\sqrt{10}}{(\sqrt{10})^2}\)\(sinG=\frac{\sqrt{10}}{10}\)Hence, the answer is: Option A.
Find the slope from the 2 points. (-3, -6), (4, 6)
Undefined
12/7
0
-2
Answers
Answer:
\(\displaystyle m = \frac{12}{7}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)
Step-by-step explanation:
Step 1: Define
Identify.
Point (-3, -6)
Point (4, 6)
Step 2: Find Slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: \(\displaystyle m = \frac{6 - -6}{4 - -3}\)Evaluate [Order of Operations]: \(\displaystyle m = \frac{12}{7}\)Answer:
12/7
Step-by-step explanation:
slope= Y2-Y1
X2-X1
X1=-3
X2=4
Y1=-6
Y2=6
=
6--6
4--3
=12
7
Select the correct ratios.
The table shows the number of boys and girls and I gymnastics class. Girls(65) Boys(35)
Identify the ratios are equivalent to the ratio of the number of girls who attend gymnastics class to the total number of students in the class.
Answers
A 3-yard roll of butcher paper costs $9.27. What is the price per foot?
Answers
The price per foot is $3.09
A 3 yard roll of butcher paper costs $9.27
= 9.27/3
= $3.09
Hence the price per foot is $3.09
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the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars
Answers
The main belt is not located between these all planets.
What is orbit?
A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.
The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.
The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.
Hence, The main belt is not located between these all planets.
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What’s the answer to the equation
Answers
Answer:
To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!
What’s the answer for this ? 1-2 question
Answers
Answer:
Question 1:
A) Parallelogram
B) Right Angled Triangle
Question 2:
Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.
right angled tri
The figure shows two right triangles, each with its longest side on the same line.
a. Explain how you know the two triangles are similar.
How long iS XY?
c. For each triangle, calculate (vertical side) divided by (horizontal side).
d. What is the slope of the line? Explain how you know.
Answers
Answer:
a) the sides lengths are proportional
b) 6
c) 2/4 = .5 3/6 = .5
D) 1/2 Change in y over change in x.
Step-by-step explanation:
The mode of data 33, 22, 10, 0, 33, 40, 33 is _____
Answers
33,23,10,0,33,40,33
Mode of the data is 33
•The most repeated observation is known as Mode , here 33 is repeated 3 times while rest occur only once ! Hence the mode of the given data is 33.
Other info:-
•Mean = Sum of all observation/No.of Observations
HELP!!
Full Question in Picture
Answers
The reasons for the proofs are
1. GE || JH Given
2. ∠3 ≅ ∠1 Corresponding angles
3. ∠1 ≅ ∠2 Given
4. ∠3 ≅ ∠2 Substitution property
5. AB||GD Alternate exterior angles
Proof of parallel linesFrom the question, we are to provide reasons for the proof
From the diagram,
we can observe that ∠3 and ∠1 are corresponding angles on the parallel lines GE and JH
∴ ∠3 ≅ ∠1 (Corresponding angles)
Also,
Since ∠1 ≅ ∠2 (Given)
Then,
∠3 ≅ ∠2 by the substitution property
Now,
∠3 and ∠2 are alternate exterior angles of lines AB and GD
Since ∠3 ≅ ∠2
∴Lines AB and GD are parallel lines
Hence,
1. GE || JH Given
2. ∠3 ≅ ∠1 Corresponding angles
3. ∠1 ≅ ∠2 Given
4. ∠3 ≅ ∠2 Substitution property
5. AB||GD Alternate exterior angles
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Suppose $30,000 is deposited into an account paying 3.5% interest, compounded annually.How much money is in the account after ten years if no withdrawals or additional deposits aremade?
Answers
Ok, so
We know that the initial amount which is deposited is $30,000.
For this problem, it is useful to use an exponential function because we know that we're working with a compounded interest.
So, we'll write:
Now, the question ask to us to find how much money is in the ccount after ten years. For this, we just replace t=10 in our equation. Like this,
Therefore, there will be $42317.96 in the account.
A bucket begins holding 25 kgs of sand. The bucket is to be lifted to the top of a 15 meter tall building by a rope with density 0.4 kg/m. However, the bucket has a hole in it, and leaks 0.1 kgs of sand each meter it is lifted.
Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s2 for gravity.A bucket begins holding 25 kgs of sand. The bucket is to be lifted to the top of a 15 meter tall building by a rope with density 0.4 kg/m. However, the bucket has a hole in it, and leaks 0.1 kgs of sand each meter it is lifted.
Thanks
Answers
Work done lifting the bucket and rope to the top of the building is 4005.75 Joules
What is work ?
To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.
Initially bucket hold = 25kg. Sand
Sand leaks 0.1 kgs each meter it is lifted
At height x meter bucket hold = (25 - 0.1x) kg of sand
Length of rope = 15 meter
density of rope = 0.4kg / meter
weight of rope = 15 (0.4) = 6kg.
At height x meter, weight of rope = (6 - 0.4x)
Total weight at height x meter = (25-0.1x) + (6-0.4x)
= (31 - 0.5x) kg
force = (31-0.5x) g Newtons. = [(31-0.5x) 9.8] Newton
Work = force × displacement
\(Work= \int_{0}^{15}9.8(31-0.5x)dx\)
\(=9.8[31x-0.5 \frac{x^2}{2} ]_{0}^{15}\)
\(=9.8[31(15)-0.25(15)^2]-0\)
\(=4005.75 joules\)
Hence, work done 4005.75 Joules
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A rectangular prism has a length of 11 centimeters, a height of 13 centimeters, and a width of 2 centimeters. What is its volume, in cubic centimeters?
Answers
Answer:
286 cm
Step-by-step explanation:
Answer:
286 centimeters³
Step-by-step explanation:
identify variable: L=11 W=2 H=13
use volume of a rectangular prism formula: V=LWH
substitute variables into formula: V=(11)(2)(3)
V=286 cm³
The number 2/5 is both an blank and an blank
Answers
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
2=a
7=b
Step-by-step explanation:
a+14=6a+4
-a
14=5a+4
-4
10=5a
/5
2=a
9b+8=10b+1
-1
9b+7=10b
-9b
7=1b
/1
7=b
Answer:
WZ=7
XY=7
WX=2
ZY=2
Step-by-step explanation:
9b+8=10b+1
Take 9b to 10b and 1 to 8 to form the equation
8 - 1 =10b - 9b
7 = b
a + 14 =6a + 4
Take a to 6a and 4 to 14 to form the equation
14 - 4 =6a - a
10 =5a
Simplify the answer
10/5 =5a/5
Five divide by five 1 and 10 divided by 5 is 2
Answer is therfore
2 = a
Mitchell can grow 2 flowers with every seed packet. How many seed packets does Mitchell need to have a total of 4 flowers in his garden?
Answers
Answer:
2 seed packets
Step-by-step explanation:
Since Mitchell can grow 2 flowers per seed packet, you can divide the number of flowers he wants with the number of flowers each seed packet can grow. Since he wants 4 flowers, 4 divided by 2 is equal to 2, meaning he needs 2 seed packets to grow 4 flowers.
HEEELP ASAP I WILL AWARD BRAINKIEST AND THANKS
Answers
Answer:
The 4th option is the correct answer
Step-by-step explanation:
Hope this helps:)
Answer: A
Step-by-step explanation: We can consider the domain to be the number of gallons filled in minivan and the range to be the cost. If this is true, then domain is greater than or equal to 0 and less than or equal to 25, and range is greater than or equal to 0 but less than or equal to 25 times 3.53 = 88.25. Only A is true in this scenario.
Lori read the total of 48 pages over 3 hours
Answers
Answer:
16 pages per hour
Step-by-step explanation:
48 ÷ 2 = 16 pages per hour
Draw a diagram of and of when x is 3.
Answers
How am I supposed to answer this question? I don't understand.
Answer:
Step-by-step explanation:
Here the graph :)
You can buy a 50lbs bag of flour for $7 or you can buy a 1lbs bag for $0.41. Compare the per pound per cost for the large and small bag
Answers
Answer:
Step-by-step explanation:
Because you already know what 1lb of flour is in the small bag you only have to find the price per pound in the 50lb bag so you would do $7/50 giving you $0.14 soo the Large bag would be cheaper
Find the total surface area of this figure.
Answers
Answer:
83 total surface area
Step-by-step explanation:
Which of the following expressions is 5 times as much as the sum of r and s?
Answers
This is the answer because in the first equation it’s 5 times r plus 5 times s and in the second equation it’s 5 times the quantity of r+s
An expression for the given phrase is 5(r+s).
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given phrase is 5 times as much as the sum of r and s.
Here, the sum of r and s is r+s
Now, 5 times as much as the sum of r and s is
5(r+s)
Therefore, an expression is 5(r+s).
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Abdul earns 44 dollars per week working part-time at a book store. He makes one dollar more for each book that he sells. The amount, A (in dollars), that Abdul
earns in a week if he sells b books is given by the following function.
A(b) = 44+b
How much does Abdul earn in a week if he sells 31 books?
Answers
Answer:
$75
Step-by-step explanation:
he makes $44 and then you add the dollar per 31 books making $75
Colton scored a 70 on his first history test of the term and a 91 on the second history test. By what percent did Colton's score increase?
Answers
Answer:
20%
Step-by-step explanation:
The percentage increase of the score will be equal to 30%.
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the per cent sign, "%
Here it is given that
First history score =70
Second history test = 91
The percentage increase will be given by
\(PE =\dfrac{91-70}{70}=30\%\)
Hence the percentage increase of the score will be equal to 30%
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Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answers
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
Above are two different models of the same rectangular hallway. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
Answers
Answer: 15cm
Step-by-step explanation: If the length of the model on the top is 6 cm, then the length of the model on the bottom must be 15 cm
Write the number 0.000 378 21 in standard form.
help please
Answers
Answer:
3.7821 (SDF)
Step-by-step explanation:
Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.
Fill in the missing statements and reasons for the proof. Given ∠2 ≅ ∠3 proof ∠1 ≅ ∠4
Answers
The proof is given as follows:
∠1 ≅ ∠2 - Vertical Angles are ≅∠2 ≅ 3 - Given∠3 ≅4 - Vertical Angles are ≅Thus, ∠1 ≅ 4 Transitive properties.What are transitive properties?The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".
The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.
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A company is trying to determine how many Valentine’s Day cards to produce. The cost of printing x cards is $2 million +0.70x. For example, printing 1 million cards costs $2.7 million. Weekly demand for cards follows a normal random variable with a mean of 1.5 million and a standard deviation of 200,000 for a week before the day and a normal random variable with a mean of 0.5 million and a standard deviation of 300,000 for the week before that. The cards are sold for $4.00, and leftover cards have a value of $0.05. With the precision of 0.2 million, determine how many cards should the company produce to maximize its profit.
Answers
The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answers
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.