Answers
sin Q = 9/15
sin Q = 0.6
The sine of an angle is opposite over hypotenuse. Looking at angle Q, we know the opposite side is 9 and the hypotenuse is 15. These numbers give us this equation: sin Q = 9/15. Upon solving this equation, the result is approximately 56.5.
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Related Questions
Gary number has 6 in thousands and a7 in hundred and a 5 in ones. when rounded to the nearest ten, the number is 6760. what is gary's number
Answers
If a number is 5 or more, round up.
If a number is 4 or less, round down.
I hope this helps!
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explain how you would create and use a spinner to simulate the probability of an event
Answers
To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.
What does the word "probability" mean?This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.
In this case, each of the colors represents a probability:
Green 20%
Blue 1/4 or 25%
Yellow 2/5 or 40%
Orange 15%
Now, Due to this, the best is to divide the spinner by colors and considering the percentages of each color.
Hence, For example 40% of the spinner should be red, while 15% should be orange.
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complete question;Explain how you would create and use a spinner to simulate the probability of an event with the following probabilities:
Percent chance: 20% green, ¼ blue, ⅖ yellow, and 15% orange
a newspaper carrier earns a fixed amount for each newspaper he delivers, and yesterday his average hourly wage was 7.50 an hour. If he worked 4 hours yesterday and delivered 120 newspapers, how much does he earn for each newspaper delivered?
Answers
Solve the following equation. Show all your work.
Start Fraction x over x minus 2 End Fraction plus Start Fraction x minus 1 over x plus 1 End Fraction equals negative 1
someone...please..god..
Answers
[tex] (x - 2)(x + 1) \times \dfrac{x}{x - 2} + (x - 2)(x + 1) \times \dfrac{x - 1}{x + 1} = -1(x - 2)(x + 1) [/tex]
[tex] (x + 1)x + (x - 2)(x - 1) = -1(x - 2)(x + 1) [/tex]
[tex] x^2 + x + x^2 - 3x + 2 = -x^2 + x + 2 [/tex]
[tex] 3x^2 - 3x = 0 [/tex]
[tex] 3x(x - 1) = 0 [/tex]
[tex] x = 0~~~or~~~x - 1 = 0 [/tex]
[tex] x = 0 ~~~ or ~~~ x = 1 [/tex]
Since neither 0 nor 1 cause a zero in a denominator in the original equation, 0 and 1 are acceptable as solutions.
Answer: x = 0 or x = 1
what is the solution to the following system of equations (3x-4y=-25)( 3x+ 4y=5)? PLEASE HURRY!!!!!!!!!!!
Answers
substract the value of x to the second equation:
[tex]3\cdot\left(-\dfrac{10}{3}\right)+4y=5\\\\-10+4y=5\ \ \ |+10\\\\4y=15\ \ \ \ |:4\\\\y=\dfrac{15}{4}[/tex]
[tex]\left\{\begin{array}{ccc}x=-\dfrac{10}{3}\\\\y=\dfrac{15}{4}\end{array}\right[/tex]
A box without a top is to be made from a 30 cm by 30 cm rectangular piece of cardboard by cutting out square corners with a side length of x and then folding up and taping the sides.
What is the maximum possible volume of the box?
What value of x maximizes the volume of the box?
Answers
V = x(30 -2x)²
A graphing calculator can show the local maximum of this function.
a) The maximum possible volume is 2000 cm³.
b) The value of x that maximizes the volume of the box is 5 cm.
Select the objects that hold the same amount of liquid as a 98 fluid ounce jug
Answers
1 cup = 8 fl oz
2 cups = 16 fl oz
1 pint = 2 cups, so 1 pint also equals 16 fl oz.
2 pints equal 1 quart, so 16 x 2 = 32 oz (the number of fluid ounces in a quart)
1 pint - 16 fl oz
1 quart = 32 fl oz
Choice A: 3 quarts x 32 =96 fl oz.
Choice B: 2 quarts x 32 = 64 fl oz
Choice C: 2 quarts x 32 + 2 pints x 16 = 64 + 32 (96 fl oz)
Choice D: 1 quart x 32 + 8 cups x 8 = 32 + 64 (96 fl oz)
Choice E: 2 cups x 8 + 2 pints x 16 = 16 + 32 (48 fl oz)
if a crate contains 25,500 oz of rice , about how many kg does it contains ? 1 pound equals 16 oz & 1 pound equals 0.454 kg
351 kg
724 kg
25500 kg
185000 kg
Answers
Your problem statement tells you that both 0.454 kg and 16 oz are equal to a pound, so they are also equal to each other. Their ratio (with kg on top and oz on the bottom) is a suitable conversion factor.
[tex]25,500\,oz \times \dfrac{0.454\,kg}{16\,oz}=723.5625\,kg[/tex]
The best choice is ...
724 kg
To find the mass of 25,500 ounces of rice in kilograms, one needs to convert ounces to pounds, then pounds to kilograms. After the conversions, the crate contains approximately 724 kg of rice.
Explanation:To calculate the mass of 25,500 ounces of rice in kilograms, we first convert ounces to pounds and then pounds to kilograms using the conversion rates provided.
First, we need to find out how many pounds are equivalent to 25,500 ounces. We use the proportion 1 pound = 16 ounces.Divide the total number of ounces by 16 to find the number of pounds:Now, we'll convert pounds to kilograms: 1 pound = 0.454 kg.Multiply the number of pounds by the kilogram equivalent:When we round this number to the nearest whole number, we get 724 kg, which is the approximate mass of the rice in the crate.
I keep getting 70 but that's not an answer??
Betty's bite size candies are packaged in bags the number of candies per bag is normally distributed with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint a sample of bags is checked and 12 bags contain fewer than 47 candies how many bags were probably taken as samples?
a) 15
b) 75
c) 36
d) 24
Answers
A normal distribution, 68% of the sample falls within 1 standard deviation, which means 100-68 = 32 is out side the mean. Half of that, 32 / 2 = 16% is above and the other half (16%) would be below.
12 bags were below, so we would do a ratio, with the percentages as a whole number, so 16% = 16 and 100% = 100:
12/16 = X/100
Cross multiply: 16x = 1200
Divide both sides by 16:
X = 1200/16
X = 75
The answer is 75 bags were tested.
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6. If the solution region represents the number of hammers and wrenches that Brody can buy given his budget, determine which graph represents the solution set to the system of inequalities representing this situation.
Answers
x: number of hammers
y: number of wrenches
We write the system of inequations:
10x + 6y <= 120
x + y> = 14
We graph the system of inequations.
The solution set is given by the shaded region of the graph.
Answer:
see attached image.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of hammers
y------> the number of of wrenches
we know that
[tex]10x+6y\leq 120[/tex] -----> inequality A
[tex]x+y\geq 14[/tex] -----> inequality B
using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
Answers
_______________
x^2-x+1 | x^3 - 3x^2 + 3x - 2 x^3 - x^2 + x --------------
-2x^2 + 2x -2 -2x^2 + 2x - 2 ------------------ 0
Quotient = x - 2
The quotient when [tex](x^3-3x^2+3x-2)\div(x^2-x+1)[/tex] is [tex](x-2)[/tex].
Given :
Equation -
[tex]\dfrac{x^3-3x^2+3x-2}{x^2-x+1}[/tex]
Solution :
[tex]\dfrac{x^3-3x^2+3x-2}{x^2-x+1} = \dfrac{x^3-2x^2-x^2+2x+x-2}{x^2-x+1}[/tex]
[tex]= \dfrac{(x^2(x-2)-x(x-2)+1(x-2))}{x^2-x+1}[/tex] ------ (1)
Now taking (x - 2) common from numerator in equation (1) we get,
[tex]= \dfrac{(x-2)(x^2-x+1)}{x^2-x+1}[/tex]
[tex]=(x-2)[/tex]
Therefore the quotient when [tex](x^3-3x^2+3x-2)\div(x^2-x+1)[/tex] is [tex](x-2)[/tex].
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find the equation that goes through points (18,3) and (21,1) find slope and y-intercept
Answers
Express the fraction in simplest form.
9/12
a.2/3
b.3/4
c.12/16
d.10/13
Answers
[tex]Answer:\ \boxed{b.\ \dfrac{3}{4}}[/tex]
) a quiz consists of 10 true or false questions. to pass the quiz a student must answer at least 7 questions correctly. if the student makes a random selection on each question, what is the probability that the student will pass the quiz? [ you may use distr key. show the command that was typed in to your calculator.]
Answers
A recipe calls for 5 8 pound of cheese per batch. Assuming you have enough of the other ingredients, how many batches of the recipe can you make with 5 pounds of cheese?
Answers
which undefined geometric term is described as a two dimensional set of points that has no beginning or end
Answers
It is a series of 2 points that has no beginning or an end and is two-dimensional.
A circle has the equation (x-2)^2+y^2=5. Whay are the coordinates of the circles center?
Answers
(x-2)^2 + (y-0)^2 = (rt(5))^2
-h = -2
h = 2
k=0
Center(2, 0)
Answer:
(2,0)
Step-by-step explanation:
Following the circle formula: [tex](x-h)^2 + (y-k)=r^2[/tex], we can deduce the values of Point(h,k).
The point is (2,0).
Savings account A has 1500 and pays 3.5% interest yearly. Savings account B has 1400 and pays 4% interest yearly. the savings account that earned the most interest after one year is savings account.
Answers
Savings Account B earned the most interest after one year.
Explanation:To determine which savings account earned the most interest after one year, we can calculate the interest earned by each account using the formula:
Interest = Principal x Rate
For Account A: Interest = 1500 x 0.035 = $52.50
For Account B: Interest = 1400 x 0.04 = $56.00
Therefore, Account B earned more interest after one year, with a total of $56.00.
Dylan opened a credit card account with $675.00 of available credit. Now that he has made some purchases, Dylan's account only has $384.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
Answers
675-384.75=290.25
290.25/675=.43*100%=43%
A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53 degrees. Find the area of the park to the nearest square foot.
Answers
Answer:
The area of the park is 1,11,739 square feet.
Step-by-step explanation:
Since, the area of a triangle is,
[tex]A=\frac{1}{2}\times s_1\times s_2\times sin\theta[/tex]
Where, [tex]s_1[/tex] and [tex]s_2[/tex] are the adjacent sides and [tex]\theta[/tex] is the included angle of these sides,
Here, the two adjacent sides of the park are 533 feet and 525 feet, while, the angle included by these sides is 53°.
That is, [tex]s_1[/tex] = 533 ft, [tex]s_2[/tex] = 525 ft and [tex]\theta[/tex] = 53°,
Hence, the area of the park is,
[tex]A=\frac{1}{2}\times 533\times 525\times sin 53^{\circ}[/tex]
[tex]=\frac{279825\times 0.79863551004}{2}[/tex]
[tex]=\frac{223478.181599}{2}=111739.090799\approx 111739\text{ square ft}[/tex]
algebra mid-unit review quiz Unit 3 lesson 5
1. simplify the rational expression; 2m^2 - 72/ m - 6.
A. 2 ( m+6)
B. 2
C. 2 ( m-6)
D. m + 12
2. simplify the rational expression; -8z^2/ z^4 - z^2.
A. -8z
B. -8
C. -8/ z^2
D. -8/ z^2 - 1
3. simplify the rational expression; 6x-54/ 7x-63.
A. - 6/7
B. 6/7
C. 6(x-9)/ 7
D. 6/ 7 (x-9)
Answers
1 is A 2 is D3 is B
Good luck.
The solutions to the problems in the mid-unit review quiz for Algebra Unit 3 Lesson 5 are A(2(m+6)), D(-8/(z^2-1)), and B(6/7). These are found by factoring out common factors and simplifying the expressions.
Explanation:Let's solve the algebra mid-unit review quiz Unit 3 lesson 5 one by one.
To simplify the rational expression 2m^2 - 72/ m - 6, first factor out a 2 from the numerator to obtain 2(m^2 - 36). This can be further broken down as 2(m - 6)(m + 6). Given the denominator is (m - 6), we cancel out (m - 6) from both the numerator and denominator to get the answer as 2(m+6) hence option A is correct.To simplify the rational expression -8z^2/ z^4 - z^2, first take out -8z^2 from the numerator to get -8*z^2/z^2*(z^2 - 1). On simplifying, we are left with -8/(z^2-1), i.e. option D is correct. To simplify the rational expression 6x-54/ 7x-63, we factor out a 6 from the numerator and a 7 from the denominator. This gives us 6(x - 9)/7(x - 9). By cancelling out the common factor, (x - 9), we get 6/7, i.e., option B is correct.Learn more about Algebra simplification here:
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HELP WHOEVER ANSWERS CORRECTLY WILL BE BRAINLIEST!!!!
Answers
7.25 x 9.5 x 2 = 137.75 gets the surface area of the two rectangle sides.
To get the bottom rectangle, do 8 x 9.5 = 76
To find the two triangles, do 6 x 8 x 0.5 x 2 = 48
Now add them all together: 137.75+76+48=261.75
So, the answer is 261.75 square feet of material.
What are the zeros of f(x) = x(x – 8)?
A. x = 0 and x = 8
B. x = 0 and x = –8
C. x = 0 only
D. x = 8 only
Answers
if x = 0 then 0 * (x - 8) = 0 because anything multiplied by 0 is zero.
if x = 8 then 8 * (8 - 8) = 8 * 0 = 0
A <<<<<< Answer
The zeros of the function f(x) = x(x – 8) are x = 0 and x = 8, which correspond to each factor of the equation being set equal to zero. Therefore, the correct answer is option A.
To identify the zeros of the function f(x) = x(x – 8), we should solve for x when f(x) is set to zero. Setting the function equal to zero gives us the equation 0 = x(x – 8).
We can find the zeros by looking for the values of x that make each factor in the equation equal to zero. The first factor is x, and it is equal to zero when x = 0. The second factor is (x – 8), which is equal to zero when x = 8.
Therefore, the zeros of the function f(x) are x = 0 and x = 8.
Selection A is the correct answer: The zeros of the function x(x – 8) are x = 0 and x = 8.
2. The robot was initially placed at position (6,9), and at = 2 seconds, its position is (10,15).
a. How far did the robot travel in 2 seconds?
b. What is the speed of the robot?
Could you work it out
Answers
what's its speed? well, it traveled √(52) in 2 seconds, so is simply √(52)/2, which is about 3.6 units per second.
Find f(-7) if f(x) = 2x + 8.
Answers
Which expression is equal to sin 75°? sin 135° cos 60° – cos 135° sin 60° cos 135° cos 60° + sin 135° sin 60° sin 135° cos 60° + cos 135° sin 60° cos 135° cos 60° – cos 135° cos 60°?
Answers
Answer:
The answer is A
Which regular polygon would have each of its interior angles measure 120°? hexagon heptagon octagon nonagon?
Answers
____________
What values of x makes the inequality true? 2(x−4)−9x≤-4x+13
Answers
Answer : x >= -7
On simplifying,
2x - 8 - 9x <= -4x + 13
-7x - 8 <= -4x + 13
-3x - 8 < = 13
-3x <= 21
x >= -7
Change -40° to radians.
A). 2π/9
B). -2π/9
C). 4π/9
D). -4π/9
Answers
(-40°)[tex] (\frac{ \pi }{180} )= -\frac{2 \pi }{9} [/tex]
We can conclude that the correct answer is: B). -2π/9
HELPPPPPPPPP and explain why
Answers
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x^2 = x*x
5x = 5*x
Both x^2 and 5x have a factor of x in common
x^2 + 5x = x*x + 5*x
x^2 + 5x = x*x + x*5
x^2 + 5x = x*(x+5) .... use the distributive property in reverse
x^2 + 5x factors to x*(x+5)
As a way to check, you can distribute the x back in
x*(x+5) = x*x + x*5
x*(x+5) = x^2 + 5x
and we get the original expression again
[tex] {x}^{2} + 5x \\ x(x + 5)[/tex]
notice there's no whole number in front of the x^2, so no number can factor out both terms, but both have at least one x, so one x factors out of both