Answer:
Magnitude: 3√10
Direction angle: 71.56°
Step-by-step explanation:
The magnitude ||v|| of a vector <a,b>, would be:
[tex]||v||=\sqrt{a^{2}+b^{2}[/tex]
[tex]||v||=\sqrt{3^{2}+9^{2}[/tex]
[tex]||v||=\sqrt{9+81}[/tex]
[tex]||v||=\sqrt{90}[/tex]
[tex]||v||=3\sqrt{10}[/tex]
The vector's reference angle would be:
[tex]tan\alpha =|\frac{b}{a}|[/tex]
[tex]tan\alpha =|\frac{9}{3}|[/tex]
[tex]tan\alpha =|3|[/tex]
[tex]tan\alpha =3[/tex]
[tex]\alpha = 71.56[/tex]
If [tex]\alpha[/tex] is your reference angle, then your direction angle ∅ depends on what quadrant the vector is located in. Since <3,9> is located in Quadrant I, then ∅= [tex]\alpha[/tex], which means your direction angle is also 71.56°
Answer:
9.5; 72°
Step-by-step explanation:
In an equation, x represents the total number of cubic units in a box that is 5 units long, 5 units wide, and 5 units high. Which equation can be used to find the value of x?
A.
[tex] {x}^{3} = 125[/tex]
B.
[tex] {x}^{3} = 15[/tex]
C.
[tex] \sqrt{x} = 5[/tex]
D.
[tex] \sqrt[3]{x} = 5[/tex]
Answer:
I think its A.
Step-by-step explanation:
Gloria has $4500 saved to take a trip to Disney World Florida. The entire trip will cost her $6,375. She plans to go in 3 years. How much does she have to save each month to take the trip to Florida?
Answer:
$52.08
Step-by-step explanation:
There are 12 months in a year, so 3 years will have 36 months.
Find how much money she has to save in total:
6375 - 4500
= 1875
Divide this by 36 to find how much she has to save each month:
1875/36
= $52.08
So, she will have to save approximately $52.08 each month
[ 2 ( 7 . 25 ) + 2 ( 24 )] - 10
Answer: 57 over 2
57
2
=28 and 1 over 228
1
2
=28.5
Result57 over 2 equals 28 and 1 over 2 equals 28.5
Step by step
Step 1 of 4: Multiply.
Multiply
( Highlighted:2 Highlighted:× Highlighted:7.25 + 24 ) − 10 = ( Highlighted:1450 over 100
1450
100
+ 24 ) − 10
Step 1 of 4: Multiply, sub-step a: Multiply.
Multiply
725 over 100
725
100
× 2 = ( 725 × 2 ) over 100
725 × 2
100
= 1450 over 100
1450
100
Step 1 of 4: Multiply.Hide
Step 2 of 4: Add.
Add
( Highlighted:1450 over 100
1450
100
Highlighted:+ Highlighted:24 ) − 10 = ( Highlighted:3850 over 100
3850
100
) − 10
Step 2 of 4: Add, sub-step a: Convert integer to fraction.
Convert integer to fraction
24 = 24 over 1
24
1
Step 2 of 4: Add, sub-step b: Find common denominator.
Find common denominator
1450 over 100
1450
100
+ 24 over 1
24
1
= ( 1450 × 1 ) over ( 100 × 1 )
1450 × 1
100 × 1
+ ( 24 × 100 ) over ( 1 × 100 )
24 × 100
1 × 100
= 1450 over 100
1450
100
+ 2400 over 100
2400
100
100 is the least common multiple of denominators 100 and 1. Use it to convert to equivalent fractions with this common denominator.
Step 2 of 4: Add, sub-step c: Add.
Add
1450 over 100
1450
100
+ 2400 over 100
2400
100
= ( 1450 + 2400 ) over 100
1450 + 2400
100
= 3850 over 100
3850
100
Step 2 of 4: Add.Hide
Step 3 of 4: Subtract.
Subtract
3850 over 100
3850
100
− 10 = 2850 over 100
2850
100
Step 3 of 4: Subtract, sub-step a: Convert integer to fraction.
Convert integer to fraction
10 = 10 over 1
10
1
Step 3 of 4: Subtract, sub-step b: Find common denominator.
Find common denominator
3850 over 100
3850
100
− 10 over 1
10
1
= ( 3850 × 1 ) over ( 100 × 1 )
3850 × 1
100 × 1
− ( 10 × 100 ) over ( 1 × 100 )
10 × 100
1 × 100
= 3850 over 100
3850
100
− 1000 over 100
1000
100
100 is the least common multiple of denominators 100 and 1. Use it to convert to equivalent fractions with this common denominator.
Step 3 of 4: Subtract, sub-step c: Subtract.
Subtract
3850 over 100
3850
100
− 1000 over 100
1000
100
= ( 3850 − 1000 ) over 100
3850 − 1000
100
= 2850 over 100
2850
100
Step 3 of 4: Subtract.Hide
Step 4 of 4: Simplify.
Simplify
2850 over 100
2850
100
= 57 over 2
57
2
= 28 and 1 over 228
1
2
Step-by-step explanation:
50x4-(3 divided by 2)
198.5 is the answer
50X4-(3÷2)=198.5
Answer: 198.5
Step-by-step explanation:
= 50x4-(3 divided by 2)
= 50x4-(3/2)
= (50 x 4) - ( 3/2 )
= (200) - (3/2)
= 200 - 1.5
= 198.5
Which is greater, 1 2cup or 1 3cup? How much greater *fractions*
Answer:
Step-by-step explanation:
A half of a cup is greater than 1/3 of a cup. This is because if you convert the fractions to the nearest common denominator (6) you can see that 1/2 = 3/6 and 1/3 = 2/6, so 1/2 of a cup is greater.
I hoped this helped!!
20PTS 20PTS-Find the perpendicular line
Answer:
y = 3x - 2
Step-by-step explanation:
See the attached worksheet. Look for an equation of the form y=mx+b, where m is the slope and b is the y-intercept. The slope of the line can be determined by taking two points on the line to calculate the Rise/Run. The points selected for this example are (0,-2) and (2,4). This makes the Rise/Run (6/2), or 3. The y-intercept, b, is -2 as per point (0,-2).
The equation for this (non)-prependicular line is thus y = 3x - 2.
A plane flew 390 nautical miles in 45 min. Find its average speed in knots ( nautical miles per hour)
Answer:
Step-by-step explanation:
1.change minutes to hours,45 minutes is [tex]\frac{3}{4}[/tex] hours
2.then use 390÷ [tex]\frac{3}{4}[/tex]=390·[tex]\frac{4}{3}[/tex]=130·4=520 nautical per hour
What two angles measure 90 degrees?
The two angles measure 90 degrees are called as complementary angles.
What are complementary angles?
In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
The two angles' complement and supplement are determined by the sum of their measurements. The two angles are said to be complimentary if their combined measurement equals that of a straight angle.
In other words, a right angle results from the combination of two complimentary angles (90 degrees). Angles 1 and 2 are said to be complementary if their sum of angles equals 90 degrees (i.e., 1 + 2 = 90°), and as a result, they are referred to as each other's partners.
two angles that add up to 90 degrees are known as complementary angles. For example, 60° and 30°.
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PLEASE HELP WILL GIVE BRAINLIEST! Find the volume of the solid. Round to the hundredths, if necessary.
Answer:
140 cubic cm
Step-by-step explanation:
Find the area of the triangular base: [tex]\frac{3 \times 7.8}{2}[/tex] = 11.7.
Multiply 11.7 square cm with 12 cm to get 140.4 cubic cm.
Write a situation to describe the equation below:
C=50+16x
Is parallel processing always faster?
Only when each iteration is sufficiently time-consuming in terms of CPU usage does parallel programming become more effective.
Parallel processing: What is it?The term "parallel processing" is used to deliver simultaneous data-processing activities, which is utilized to increase the computing performance of computer systems. Additionally, a parallel processing system has the ability to process input concurrently for quicker execution times.
As an illustration, when an instruction is being carried out in an ALU, the following instruction may be read from memory. The system may be equipped with two or more ALUs and be able to carry out multiple instructions at once.
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Which ordered pair is a solution to the equation?
y=x54−3
(−5, −7)
(5, −1)
(10, −11)
(−10, 5)
Answer:
y=4/5x-3 - (-5, -7)
Step-by-step explanation:
So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.
So we have (-10, 5)
Well plug in -10 for 4/5x we get:
-40/5=-8
Next we take that value and solve:
y=-8-3
y=-11
The answer for this was 5, not -11.
Ill skip a few steps:
(10, -11):
Plug in 10 we get:
y=8-3 which is y=5. This is not right, for it needed to be -11.
Next we have (5, -1)
This gets us y=4-3 this is y=1 which is not -1. So thats not right.
Finally we have (-5, -7):
This gets us y=-4-3 this is y=-7. What was our y value? -7!
So the answer is (-5, -7)
I hope this helps! :)
Help! No links please
Answer: Indont know but I think it is the last one
Step-by-step explanation:
Sorry if I am wrkng
1
The product of 3 and the sum of r and 1 equals 15.
Construct an equation and find the value of x.
Answer:
i dont know
Step-by-step explanation:
Answer:
r = 4
Step-by-step explanation:
product means multiply , so
3(r + 1) = 15 ← is the equation
Divide both sides by 3
r + 1 = 5 ( subtract 1 from both sides )
r = 4
what is the perimiter of this 1/4 circle
A. 7.85in
B. 12.9in
C. 17.9in
D. 31.4in
===========================================================
Explanation:
A full circle of radius 5 inches would have a perimeter or circumference of...
C = 2*pi*r
C = 2*3.14*5
C = 31.4
This value is approximate because pi = 3.14 is approximate.
The distance around a full circle with radius 5 inches is roughly 31.4 inches, but we only want a quarter of this. Therefore, the distance around the curved portion of the quarter circle is roughly C/4 = (31.4)/4 = 7.85 inches.
Choice A would be the answer if your teacher only cared about the curved portion. However, don't forget about the straight line portions that also make up the quarter circle. Choice A might have been put there as a trick answer.
We'll add on the two copies of the radius 5 inches to get a total perimeter of 5+5+7.85 = 10+7.85 = 17.85 = 17.9 inches, which points to choice C as the answer.
---------------
Side note:
If we used a more accurate version of pi, say the version stored in your calculator, then the perimeter is roughly
5+5+(2*pi*5)/4 = 17.8539816339744
Rounding to the nearest tenth leads to the same answer of 17.9 inches
Would it be a b c or d? :))
Answer: x = 12 * tan24
Step-by-step explanation:
We're going to use tan because we know one of the angles which is 24°. We also know the leg opposite of that angle, and the leg adjacent to that angle. Using that information, the best option would be tan.
Tan = opposite / adjacent, so substitute everything into that equation
tan24° = [tex]\frac{x}{12}[/tex]
12 × tan24° = x (move the 12 from the right side to the left side by multiplying)
1) The graph of g(x) is shown below. Which statement given below is FALSE?
Please help!
=======================================================
Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
Choice A) This is true because as we approach x = 2 from the left hand side, the y values get closer to y = 1 from the top Choice B) This is true. As we get closer to x = 4 on the left side, the blue curve is heading downward forever toward negative infinity. So this is what y is approaching when x approaches 4 from the left side.Choice C) This is true also. The function is continuous at x = -3 due to no gaps or holes at this location, so that means its limit here is equal to the function value. Choice D) This is false. The limit does exist and we find it by approaching x = -4 from either side, and we'll find that the y values are approaching y = -2. In contrast, the limit at x = 2 does not exist because we approach two different y values when we approach x = 2 from the left and right sides (approach x = 2 from the left and you get closer to y = 1; approach x = 2 from the right and you get closer to y = -2). So again, the limit does exist at x = -4; however, the function is not continuous here because its limiting value differs from its function value.Choice E) This is true because the function curve approaches the same y value from either side of x = 6. Therefore, the limit at x = 6 exists.y = 2x + 3
y = 2x + 1
Answer:
This is how you graph it
Step-by-step explanation:
As seen in the equations above, this equation can fit into the equation y=mx+b. M = slope, where is how we will be able to plot the points. Since the slope for both is two, we would go up 2 then right 1, from the y intercept. Which is the point we will be starting at. Plot two points directly on the y-axis at (0,3) and (0,1). Then go back to the slope and go up 2 and right 1. I hope I helped!
The diagram shows two proportional right triangles.
What is the perimeter of the larger triangle?
The perimeter of the possible larger triangle with possible side lengths of 24, 32 and 40 is 96 units
What is the perimeter of a plane figure?The perimeter of a figure is the length of the boundary surrounding the figure.
Two triangles that have proportional dimensions are similar triangles
The dimensions (arranged in the order of corresponding sides) of the possible similar right triangles in the question, obtained from a related question, having two similar right triangles, posted online are;
First (larger) triangle side lengths; 24, 32, and xSecond (smaller) triangle side lengths; 9, 12, and 15The similarity of the triangles (proportional corresponding sides, indicates that we get;
[tex]\dfrac{24}{9} = \dfrac{32}{12} = \dfrac{x}{15}[/tex]
Therefore, by cross multiplication, we get;
32 × 15 = 12 × x
x = 32 × 15 ÷ 12 = 40
The perimeter of the larger triangle is; 24 + 32 + 40 = 96
The perimeter of the larger triangle is 96 units.Please find attached the possible diagram of proportional right triangles, created with MS Word, obtained from a question with regards to proportional right triangles online.
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What happens if you log a log?
The guidelines apply to logarithms of any base anyway a comparable base ought to be used all through a calculation. This guideline tells us how to add two logarithms together. Adding log An and log B achieves the logarithm of the consequence of An and B, that is log Stomach muscle.
As demonstrated by the norm of logs, a log of a base with similar bases will drop and will leave simply the power. Logarithms are models, and when you increment, you will add the logarithms. The log of a thing is the number of logs.
In case you have comparable systems on the different sides of a circumstance, they offset each other! Recollect that this conceivably works when the logarithms on the different sides of the circumstance have a comparable base.
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What is the answer to my question?
This is urgent! Please help.
Answer:
Hello! answer: 85
Step-by-step explanation:
Formula for square area: base × height
Formula for triangle area: base × height ÷ 2
6 × 5 = 30 30 ÷ 2 = 15 since theres 4 triangles I just multiply by 4 get all the triangles area so...
15 × 4 = 60 now the square is just 5 × 5 so... 5 × 5 = 25 now we just add these up for the answer so... 60 + 25 = 85 therefore the surface area is 85 hope that helps!
carmen has 92 kilograms of clay. she has 5 students in her art class. how much clay does each student get
Answer:
18.4 kg of clay
Step-by-step explanation:
92 kg for 5 students
=> 92 : 5 = 18,4 kg for 1 student
Answer: 18.4 kg
Step-by-step explanation:
DATA :
total mass of clay = 92 kg
total students = 5
how much clay does each student get?
SOLUTION:
assuming that each student got equal amount of clay, we are simply going to divide ⇒92 by 5.
⇒92 ÷ 5
⇒18.4 kg ANSWER
hope that helps...
simplify when x=4 x^2-4
Answer:
12
Step-by-step explanation:
X=4[tex] \sf \rightarrowtail \: {x}^{2} - 4 \\ \sf \rightarrowtail \: {(4)}^{2} - 4 \\ \sf \rightarrowtail \: 16 - 4 \\ \sf \rightarrowtail \: 12[/tex]A forest covers 78,000 acres. A survey finds that 0. 4% of the forest is old-growth trees. How many
acres of old-growth trees are there?
There are
acres of old-growth trees.
Answer:
There would be 312 acres of old tree growth for 0.4% of the forest. There would be 31.2 acres of old tree growth for 0.04%. I wasn't sure if you meant 0.4 or 0.04.
solve for x(best answer brainliest)
24x+15=25x+45
[tex]24x+15=25x+45[/tex]
Subtract 25x from both sides:
[tex]24x+15-25x=25x+45-25x[/tex]
[tex]-x+15=45[/tex]
Subtract 15 from both sides:
[tex]-x+15-15=45-15[/tex]
[tex]-x=30[/tex]
Divide both sides by -1(to remove negative from variable):
[tex]\dfrac{-x}{-1} =\dfrac{30}{-1}[/tex]
[tex]\fbox{x = -30}[/tex]
Answer:
[tex] \sf \: x = - 30[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ 24x + 15 = 25x + 45
Then the value of x will be,
→ 24x + 15 = 25x + 45
→ 24x - 25x = 45 - 15
→ -x = 30
→ [ x = -30 ]
Hence, the value of x is -30.
Find the area of the sector.
The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
Stella took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1. 20 plus $1. 50 per mile. The total fare was $29. 70, not including the tip. How
many miles was the taxi ride?
09
Equivalent fractions are those that, despite their visual differences, reflect the same value. we consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces.
what is fraction?Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.
If the denominators differ, similar fractions with a common denominator must be used. This requires figuring out the LCM of the two denominators. To be used as a denominator in fractions with various denominators, rename the fractions with a similar denominator.
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The capacity of a teaspoon is 0.015 L. How many teaspoons of oil are there in 1.2 L? Please help .
Answer:
80 teaspoons
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Teaspoon capacity = 0.015 L
Total quantity = 1.2L
So, we can calculate the number of teaspoons in 1.2L oil by using following formula,
Number of teaspoons = Total quantity ÷ Teaspoon capacity
By putting the value of following, we get
Number of teaspoons = 1.2 ÷ 0.015
= 80 teaspoons
Hence, there are 80 teaspoons of oil in 1.2L.
The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table.
Using technology, what is the slope of the least-squares regression line and what is its interpretation?
A) The slope is 1. 98, which means for each additional inch in height, the child’s weight will increase by 1. 98 pounds.
B) The slope is 1. 98, which means for each additional inch in height, the child’s weight is predicted to increase by 1. 98 pounds.
C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.
D) The slope is 0. 50, which means for each additional pound in weight, the child’s height is predicted to increase by 0. 5 inches
Using the slope of the least-squares regression line, the interpretation will be: C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.
A linear approach is linear regression, which is used to represent the relationship between a scalar answer and one or more explanatory factors in statistics. When there are many explanatory factors, multiple linear regression is employed; otherwise, simple linear regression is utilised. It is possible to predict the value of one variable using linear regression analysis and the value of another variable.
Predicting the dependent variable is what you want to do. The variable you are using to anticipate the value of the other variable is the one you are utilising as an independent variable. Lines of best fit are another name for regression lines. To demonstrate how several graph points might be connected, a line of best fit is used.
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hello please help i’ll give brainliest
Answer:
A
Explanation: