Answers
Answer:
sin w = 15/17
Step-by-step explanation:
sin w = opp/hyp
opp of W is VX = 15
hyp is the longest = 17
sin w = 15/17
=========================================================
Explanation:
A drawing may help. See the image below.
Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.
The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".
The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.
The sine of an angle is the ratio of the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(W) = VX/WV
sin(W) = 15/17
Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.
Related Questions
May someone please help me
Answers
The positive value of the distance between the two objects
is [tex]r = + \sqrt\frac{GM_1M_2}{F_g}[/tex]
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Considering the equation for determining the gravitational pull between two items [tex]F_g = \frac{GM_1M_2}{r^2}[/tex], where r is the distance between the objects M is the individual masses and G is the gravitational constant.
The answer to the r in the problem has two values. Since distance cannot be negative, there can only be one positive value, hence we want the positive value.
[tex]F_g = \frac{GM_1M_2}{r^2}[/tex]
[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].
[tex]r = \pm\sqrt\frac{GM_1M_2}{F_g}[/tex]
[tex]r = +\sqrt\frac{GM_1M_2}{F_g}[/tex].
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Solve the following problem.
1. If a is indirectly proportional to b, then a=k/b, where k is a constant or fixed number. If a=8 when b=6, find the value of k.
Using the value of k in number 1, find:
2. a if b=3
3. a if b=4
4. a if b=12
5. a if b=1.5
6. a if b=3.6
7. a if b=4.8
8. b if a=3
9. b if a=4
10. b if a=4.5
11. b if a= 4.8
12. b if a=3.6
13. b if a=6
Answers
Answer:
see explanation
Step-by-step explanation:
given the equation
a = [tex]\frac{k}{b}[/tex]
to find k use the given condition a = 8 when b = 6 , then
8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 to clear the fraction )
48 = k
a = [tex]\frac{48}{b}[/tex] ← equation of variation
2
if b = 3
a = [tex]\frac{48}{3}[/tex] = 16
3
if b = 4
a = [tex]\frac{48}{4}[/tex] = 12
4
if b = 12
a = [tex]\frac{48}{12}[/tex] = 4
5
if b = 1.5
a = [tex]\frac{48}{1.5}[/tex] = 32
6
if b = 3.6
a = [tex]\frac{48}{3.6}[/tex] = 13.3333.. = 13 [tex]\frac{1}{3}[/tex]
7
if b = 4.8
a = [tex]\frac{48}{4.8}[/tex] = 10
for the remaining questions, rearrange the equation with b as the subject
a = [tex]\frac{48}{b}[/tex] ( multiply both sides by b )
ab = 48 ( divide both sides by a )
b = [tex]\frac{48}{a}[/tex]
8
if a = 3
b = [tex]\frac{48}{3}[/tex] = 12
9
if a = 4
b = [tex]\frac{48}{4}[/tex] = 12
10
if a = 4.5
b = [tex]\frac{48}{4.5}[/tex] = 10.666... = 10 [tex]\frac{2}{3}[/tex]
11
if a = 4.8
b = [tex]\frac{48}{4.8}[/tex] = 10
12
if a = 3.6
b = [tex]\frac{48}{3.6}[/tex] = 13.333... = 13 [tex]\frac{1}{3}[/tex]
13
if a = 6
b = [tex]\frac{48}{6}[/tex] = 8
These tables correspond to inputs and outputs. Which of these input and output tables could represent a function rule, and which ones could not?
Answers
Table A is a function.
Table B is not a function.
Table C is a function.
Table D is not a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one or many-to-one.
But a relation is not a function if it is one to many.
Table A is a function and it is a many-to-one function.
Table B is not a function as input 1 leads to two different outputs 1, - 1.
Table C is a function and it is a one-to-many function.
Table D is not a function as one input leads to 3 different outputs.
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Is halting problem is solvable or unsolvable?
Answers
Therefore , the solution of the given problem of algorithm comes out to be halting problem is unsolvable.
Define algorithm.An algorithm is a process for carrying out a computation or resolving a challenge. Algorithms work as a detailed set of guidelines that lead hardware- or software-based routines through a series of predetermined actions step by step. Algorithms are frequently used in all areas of IT.
Here,
The halting problem, which claims that no program can be created that can anticipate whether or not any other program will halt after a finite number of steps, is an intractable algorithmic challenge.
The inability to solve the stopping problem directly affects software development.
Therefore , the solution of the given problem of algorithm comes out to be halting problem is unsolvable.
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Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.
Suppose an angle has a measure of 2. 1 radians.
This angle (with a measure of 2. 1 radians) is what percent of a full rotation?
 %
Use your work in part (i) to determine the measure of the angle in degrees.
 degrees
Answers
If there are [tex]2\pi[/tex] radians and [tex]360 \textdegree[/tex] in one full rotation and an angle has a measure of [tex]2.1 radians[/tex] then the angle is 33.4 percent of a full rotation , and the measure of the angle in degrees is [tex]120.2\textdegree[/tex] .
we know that in 1 full rotation , the radians is 2π ;
and in 1 full rotation , the degree is 360 degree ;
We know that the relation between the degree and the radian measure is
⇒ [tex]1 radian = \frac{180\textdegree}{\pi }[/tex] ;
Part(i) ;
we have to express the 2.1 radians as a percent of full rotation ;
we get ; ⇒ [tex]\frac{2.1}{2\pi } \times 100\%[/tex]
on simplifying further ,
we get ; [tex]\approx 33.4\%[/tex] .
Part(ii) ;
we have to determine the measure of the angle in degrees.
from part(i) , we find the percent is [tex]33.4\%[/tex] ,
So , [tex]33.4\%\times 360\textdegree[/tex]
On simplifying ,
⇒ [tex]\frac{33.4}{100} \times 360\textdegree[/tex]
[tex]\approx 120.2\textdegree[/tex] .
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Need this done in a square root method and show me all the steps.
Answers
Answer:
d=i√7, -i√7
Step-by-step explanation:
-2d^2 -4=10 add 4 to both sides
-2d^2 = 14 divide each term by -2
d^2= -7 take the square root of each side to get rid of the exponent
d= = √-7 ( put a slash(short line above that = sign ) in the second equal sign)
d = =i√7
The length of a rectangle is 7cm more than twice the width. When just the width is tripled, the perimeter of the resulting rectangle is 74cm. What are the original dimensions of the rectangle?
Answers
Answer:
Length = 27cm
Width = 10cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width be y
If the length of a rectangle is 7cm more than twice the width, then;
x = 2y + 7
Since P = 2(x+y)
P = 2(2y+7+y)
P = 2(3y+7)
P = 6y+14
If the width is tripled, P = 74
74 = 6y+14
6y = 74-14
6y = 60
y = 10
Since x = 2y+ 7
x = 2(10) + 7
x= 20+7
x = 27
Hence the original dimension is 27cm by 10cm
How many times larger than 3 x 10^4 is to 15 x 10^8
Answers
Answer:
149970000
Step-by-step explanation:
1500000000-30000=149970000
Answer:
1499970000
Step-by-step explanation:
3 x 10^4 = 30,000
15 x 10^8 = 1500000000
1500000000 - 30,000 = 1499970000
Someone help plz make sure it’s right plz will mark brainiest:) if it is!
Answers
Answer: The second option is right
The shelf life of a dairy product is normally distributed with a mean of 5 days and a standard deviation of 4 days. What is the probability that the product has a shelf life of at least 1 week and at most 2 weeks
Answers
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
What does the probability rule for products mean?This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.
How do you calculate a product's probability?P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
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Solve for x (Will get brainliest award)
Answers
Answer:
X = 21
Step-by-step explanation:
We know that's 90 degrees in total so we add both angles and equal them to 90 to solve for x
x + 4 + 3x + 2 = 90 Combine like terms
4x + 6 = 90
- 6 -6 subtract 6
4x = 84
/4 /4 isolate x
x = 21
Please help! I have a barrel of apples. 70% are red and 30% is green but 24% of all green apples are damaged. What is the remaining percentage of green apples?
Answers
Answer:
6
Step-by-step explanation:
Answer:
22.8% ≈ 23%
Step-by-step explanation:
Since we don't know the number apples, I just turned the percentages into decimals
30% = 0.3
24% = 0.24
1.00 - 0.24 = 0.76 *Since 24% of green apples are damaged, then 76% are not damaged*
0.3 x 0.76 = 0.228 = 22.8% ≈ 23%
5. Standard form of 15240000 is :
Answers
Answer:
1.524×10^7
Step-by-step explanation:
move the "comma" from the back till you get a number less than 10, the 7 is how many times you've moved the comma
Luke randomly selects 25 students from his school and asks each of them how many minutes they read each night to find out how much, on average, students at his school read. This represents which type of data collection?
A: Census
B: Experiment
C: Observation
D: Sample
Answers
I'm pretty sure it's census
Plz, help me with this question!
Answers
Answer:
C. 250 miles
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
mark as brailest!!
Plllsss awnser soon!!!! Due in 5 mintues!!!!! A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.
Answers
Answer:
Minimum, Q1, median, Q3, maximum
Step-by-step explanation:
The five number summary include :
Minimum valuewhich is the least value in the dataset
The first quartile which represents the lower 25% of the distribution
The median, marks up to 50% of the distribution
The Upper quartile, Q3, represents up to 75% of the distribution
The maximum value is the greatest Or largest number in the distribution.
Hence, arranging in order of least to greatest, well have ;
Minimum, Q1, median, Q3, maximum
10. Find the solution set for the following
y=x²-3x-4
y-x=-4
Answers
Answer:
I have no idea tbh I need help with this too
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!
Solving second equation in terms of y:
Add x to both sides:
y=-4+x
Use the commutative property if addition to rearrange the Rayo to y=mx+b form:
y=x-4
So, we have a quadratic function and a linear equation.
Pay close attention to the equations below:
y=x²-3x-4
y=x-4
Both equations are equal to y, and because a system of equation solves for interception points on the two functions (the point where the two functions contain the same x and y-coordinates), the y-coordinates must be equal to each other. Therefore, the equations can be set equal to each other:
(x-4)=x²-3x-4
Factor the quadratic:
(x-4)=(x+1)(x-4)
Now, let’s solve for x:
Divide both sides by (x-4):
(x-4)/(x-4)=[(x+1)(x-4)]/(x-4)
Simplify:
1=(x+1)
Subtract 1 to both sides:
1-1=x
0=x
Apply the symmetric property:
x=0
Now that we know the two equations intercept at x=0, let’s plug 0 back into “y” to find its value. Since both equations are set equal, plug x=0 in for either one.
y=(0)-4
y=-4
So, a solution set is (0, -4) and (4, 0)
pls answer all questions
Answers
Spiders are arachnids with eight legs, as do all arachnids. Spiders differ from insects in that they have only six legs.
Do spiders have 6 or 8 legs?Crabs and prawns are also members of the phylum Arthropoda, which includes spiders. Spiders walk on eight legs, but they also have two additional legs that they utilise as hands. The front legs are called pedipalps, or palps for short.
Proteins are secreted by glands on spiders, which aid in the formation of the web. For a number of objectives, including prey capture, prey detection, tunnel lining, egg sacs, and prey wrapping, spiders can create a variety of webs or silks.
Spiders are venomous carnivores who hunt their prey with poison.In Everglades National Park, arachnids such as spiders, scorpions, mites, ticks, whip scorpions, and pseudoscorpions are all common.
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Two shipping companies charge different amounts to ship a package. Company A charges a fee of $6.50 and $0.35 for each pound. Company B charges a fee of $7.25 and $0.25 for each pound. Write an equation that could be used to find p, the number of pounds each package would have to weigh for the total cost of shipping the packages to be the same.
Answers
The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The cost to transport an item varies between two shipping providers. The price charged by Company A is $6.50 plus $0.35 per pound. Charges from Company B are $7.25 plus $0.25 per pound.
Let 'p' be the number of pounds and 'T' be the total cost of shipping. Then the equations are given as,
T = 0.35p + 6.50
T = 0.25p + 7.25
If the total cost of shipping the packages is to be the same. Then the number of pounds is given as,
0.35p + 6.50 = 0.25p + 7.25
0.35p - 0.25p = 7.25 - 6.50
0.10p = 0.75
p = 7.50 pounds
The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.
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Please help!! Find the area of the circle use 3.14 for pi
Answers
Answer:
when pi = 3.14, A = 63.535
when pi = pi, A = 63.61725
Step-by-step explanation:
Area of a circle = pi × radius (4.5) squared (^2)
2x3.142x4.5 = 28.278
=28.3#
-50 POINTS-
Don’t need to explain
A.)
B.)
C.)
Answers
Answer:
C
Step-by-step explanation:
I need help with this
Answers
Answer:g
Step-by-step explanation:
g
Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.
Answers
Answer:
Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.
Step-by-step explanation:
We know 5. 3 = 15. Which 2 of the following statements must also be true? (You need to select 2 answers) 9 5 is a factor of 15. 3 is a multiple of 15. 15 is a multiple of 3.
Answers
Answer: 5 is a factor of 15.
15 is a multiple of 3.
Step-by-step explanation:
A Factor, is a number that can divide another number without a remainder. For example, 5 is a factor of 15 ad it can divide 15 evenly.
A multiple is simply a times table. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21 ......
Therefore, the correct option from the answers given are:
5 is a factor of 15.
15 is a multiple of 3.
Find the length and width of the actual room, shown in the scale drawing. Then find the area of the actual room. Round the final answer, if necessary, to the nearest tenth.
Answers
The actual dimensions are 9.75 feet and 7.5 feet. The area will be 73.125 square feet.
What is the scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). The scale factor is defined as the proportion of the new image's size to that of the previous image.
Here the scale factor for the given image is 2 inch = 3 ft.
The measure of the actual dimensions will be calculated as,
2 in = 3 ft
1 in = 3/2 ft
6.5 in = 6.5 x 3 / 2 = 9.75 ft
5 in = 5 x 3 / 2 = 7.5 ft
The actual area will be calculated as,
Area = 9.75 x 7.5
Area = 73.125 square feet
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ngl i forgot whats 23+41
Answers
Answer:
64
Step-by-step explanation:
23
41
____
6 4
Use Pascal's Triangle to expand (5z + 5x²)³. Express your
answer in simplest form.
Answers
The simplest form is 15z+ 15x²
How to simplify the given expression ?In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)n. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.
Because it has so many patterns that can be used to greatly simplify complex calculations, Pascal's triangle is significant.
Given,
(5z+5 x²)3
15z+15x² by simplifying,
3(5z+5 x²)
apply the distributive formula :a (b + c) =ab + ac
3(5z+5 x²) = 5x+3 * 5x²
By simplifying 3 5z+3 , 5x², 15z+15x²
we get
15z+ 15x²
Therefore the simplest form is 15z+ 15x² .
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3 tenths and 24 hundredths, after regrouping, there are
Answers
3 tenths and 24 hundredths, after regrouping gives 0.54
What does Regroup Mean?In math, regrouping can be defined as the process of making groups of tens when carrying out operations like addition and subtraction with two-digit numbers or larger. To regroup means to rearrange groups in place value to carry out an operation. We use regrouping in subtraction, when digits in the minuend are smaller than the digits in the same place in the subtrahend.
Given here, 3 tenths and 24 hundredths after regrouping we get
(3 tenths + 24 hundreths) = 0.54
Hence, 3 tenths and 24 hundredths after regrouping gives 0.54
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5. Maria writes the expression below.
21 + 3 + 6 + 9 − 3
Which expression could be shown to be equivalent to Maria's expression based on the commutative property of addition?
Answers
Answer:
35+1
Step-by-step explanation:
They both equal 36 according to the commutatative property of addition.
In the equation 12u + 3v = 0, if u = 1, find the value of v.
Answers
Answer:
v = -4.
Step-by-step explanation:
Replace the u in the equation by 1, so we have:
12*1 + 3v = 0
3v = -12
v = -1/3 = -4.