Answers
<-6,5> and <6,-5>
=<(-6+6),(5-5)>
=<0,0>
the resultant vector is <0,0>
6] The value of x will be found as follows
tan θ=(opposite)/(adjacent)
θ=20°
hence:
tan 20=x/15
x=15tan20
x=5.4595~5.5 yd
To get the resultant of two vectors we add the two vectors given.
In this case, <-6,5> and <6,-5>
Therefore, <(-6+6), (5+-5)>
= <0,0>
Question 6
The appropriate trigonometric ratio to use in the question is tan
Tan θ = opposite/ adjacent
θ is 70 degrees ( 90-20)
Opposite is 15 yd
Adjacent is x
Therefore;
Tan 70 = 15/x
x = 15/tan 70
x = 5.45955
≈ 5.5 yd
Thus, the value of x (nearest tenth) is 5.5 yd
Related Questions
What is the period of the function f(x) shown in the graph?
Answers
In this case we have that the period will be given by:
T = ((3/4) pi) - ((- 1/4) pi)
T = ((3/4) pi) + ((1/4) pi)
T = ((3 + 1/4) pi)
T = ((4/4) pi)
T = pi
Answer:
the period of the function f(x) shown in the graph is
T = pi
I need the right answer please
Answers
A data set contains three points, and two of the residuals are -10 and -20. What is the third residual?
Answers
The residuals of any data set should get added to zero. If there are three residuals (say A, B, and C) in any data set, then it could be written as A + B + C = 0.
Given are the two residuals -10 and -20 out of three point in a particular data set.
Let's assume A = -10 and B = -20, so that we could find third value C of the given data set.
We know A + B + C = 0
(-10) + (-20) + C = 0
(-30) + C = 0
C = 30
It means that third residual must be 30.
Hence, the final answer is 30.
Answer:
30
Step-by-step explanation:
What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
Answers
V = ((pi) * (r ^ 2)) * (h)
Where,
r: radio
h: height.
We have then:
V = ((pi) * ((4) ^ 2)) * (4)
V = 64 * pi m^3
Answer:
The volume of a right circular cylinder is
V = 64 * pi m^3
what is 9,750,000,000 in scientific notation
Answers
So, when doing this kind of notation (scientific notation), this is pretty much like braking down the number,and trying to make it more simple.
[tex]\boxed{9,750,000,000} \ in \ scientific \ notation... \\ \\ \Longrightarrow\boxed{\boxed{9.75*10^9}} \Longleftarrow[/tex]
I hope this helps you! :)
how many times does a person blink in 1.5 min
Answers
What is 20 percent of 60
Answers
20 percent of 60 we can setup like this.
.20*60=x
x=12
Hope this helps. Questions please just ask. Thank you
1\5*60=
12
you multiply 1\5*60\1 to get the answer 12
Amount Saved = Original Price x Discount % / 100. So,
Amount Saved = 60 x 20 / 100
Amount Saved = 1200 / 100
Amount Saved = $12 (answer)
A rectangle 7 feet longer than it is wide find the dimensions of the rectangle if its area is one 198 sq ft.
Answers
l=w+7
w(w+7)=198
w^2+7w-198=0
(w-11)(w+18)=0
w=11 or -18
w=11 and l=18
do anyone know how to solve this? need the answer fast.
Answers
.. (x +4)/(2x -5) = -3
.. x +4 = -3(2x -5)
.. 7x = 11
.. x = 11/7
The desired value is
.. (3/11)*g^-1(-3)
.. = (3/11)*(11/7)
.. = 3/7
[tex] \frac{3}{11} g^{-1}(-3) = \frac{3}{7}[/tex]
the hour hand on a clock is 7.5 centimeters long. What distance does the tip travel in one complete rotation,to the nearest centimeter?
Answers
Write the resultant if the 2 vectors as an ordered pair.
<5, -2> and <0,0>
Answers
Step 1. Find z1 by adding x1^2 and y1^2.
z1= 5^2 + 0^2 = 5
Step 2. Find z2 by adding x2^2 and y2^2.
z2= -2^2 + 0^2 = 2
Step 3. Find c.
5^2 + 2^2 = c^2
c=square root of 29
c=5.39
The final answer is 5.39.
Please help!!!!
Question on image and question below.
Find the missing value to nearest hundredth.
cos____=7/18
Answers
question (1)
height of building = 308 ft
question (2)
cos 67.11 = 7/18
Explanation:
question (1)
Taking a look at the triangle, we can see that it is a right-angled triangle. This means that we can apply the special trigonometric identities.
The one we will use here is:
tan Θ = opposite / adjacent
where:
Θ = 72
the opposite side is the height of the building
the adjacent side = 100 ft
Substitute to get the height as follows:
tan(72) = height / 100
height = tan(72)*100 = 307.76 which is approximately 308 ft
question (2):
We are given that:
cos Θ = 7/18
therefore:
Θ = cos^-1(7/18)
Θ = 67.114
approximating to the nearest tenth, we would find that:
Θ = 67.11°
Hope this helps :)
A pair of running shoes costs five dollars more than a pair of regular tennis shoes .. the total cost for both is one 115 $ What is the price of the regular tennis shoes?
Answers
$55 for the pair of Regular
Mr.Johansson's truck weighs 3 tons. How many ounces does it weigh
Answers
Final answer:
To convert the 3-ton weight of Mr. Johansson's truck to ounces, we multiply 3 tons by 2,000 to get pounds and then multiply that figure by 16 to get 96,000 ounces.
Explanation:
Mr. Johansson's truck weighs 3 tons. To convert this weight to ounces, we need to know that one ton is equal to 2,000 pounds and one pound is equal to 16 ounces.
First, we convert tons to pounds:
3 tons x 2,000 pounds/ton = 6,000 pounds
Next, we convert pounds to ounces:
6,000 pounds x 16 ounces/pound = 96,000 ounces
Therefore, the weight of Mr. Johansson's truck is 96,000 ounces. This conversion showcases the application of the conversion factors between tons, pounds, and ounces, providing a precise measure of the truck's weight in a more universally comprehensible unit.
Final answer:
The truck weighs 96,000 ounces.
Explanation:
To convert tons to ounces, we can use the conversion factor that 1 ton is equal to 32,000 ounces.
So, to find how many ounces the truck weighs, we can multiply the weight of the truck in tons by the conversion factor.
Weight of the truck in ounces = Weight of the truck in tons x Conversion factor
Weight of the truck in ounces = 3 tons x 32,000 ounces/ton
Weight of the truck in ounces = 96,000 ounces.
what is the inverse of the conditional statement? If a polygon the has five angles, then it is a Pentagon
Answers
Answer: The inverse f the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Step-by-step explanation: We are given to write the inverse of the following conditional statement:
"If a polygon the has five angles, then it is a Pentagon".
INVERSE of a conditional statement :
If the conditional statement is
"If p, then q",
then its inverse statement is given by
"If not q, then not p".
Therefore, the inverse of the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Answer:
It is Option C If a polygon does not have five angles then it is not a pentagon.
Step-by-step explanation:
A news anchorman can read 7.5 lines in 0.5 minutes. How many lines can he read in 8.5 minutes? Round the answer to the nearest tenth, if necessary.
A. 15.0 lines B. 127.5 lines
C. 31.9 lines D. 2.7 lines
Answers
Help please! Not sure what this is
Answers
I’m assuming the question is not asking about placement but just the way the shape is.
Hope this helps!
What if mac bought8pack of toy boats and then he gave his friend 3boats? If mac has 13 boats now,how many boats were in each pack?
Answers
We have 8 packs of toy boats, meaning there are a specific amount of toy boats per pack, so we have to multiply 8 by a variable, x. Considering this is the total, too, we should let this sit at the end of the equation (=8x). Mac gave his friend 3 toy boats, meaning we will be subtracting 3 from our equation, but this will be on the other side of the equation with 8x (-3). We also have a current total of 13 toy boats after Mac gave away 3 boats, meaning that 13 will have to sit alone (+13).
With this information, let's set up an equation. With what we have, the equation will look like this:
8x - 3 = 13
Now all we have to do is solve for x. To start this off, we should add 3 to both sides to isolate the variable.
8x = 13 + 3; simplify.
8x = 16; All that is left is to divide both sides by 8 and we will have figured out how many toy boats were in each pack.
8x / 8 = x; 16 / 8 = 2.
We are left with our answer, x = 2. That being said, there were 2 toy boats per pack.
I hope this helps!
if the r-value, or correlation coefficient, of a data set is 0.854, what is the coefficient of determination to three decimal places?
Answers
(0.854)² = 0.729316. To three decimal places, this would be 0.729.
Answer with explanation:
Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between 0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.
If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.
→Coefficient of Variation=[Correlation coefficient]²
=r²
=(0.854)²
=0.854 × 0.854
=0.729316
=0.730(Approx)
The sum of five consecutive even integers is 120, what is the 5th number in the sequence
Answers
so 20 + 22 +24 +26 +28 = 120
5th number = 28
Explain how you would use a number line to find to find the absolute value of-12
Answers
The absolute value of -12 is 12 and we can find it on the number line by going 24 times right from -12.
What is absolute value?The absolute value or modulus of a real number x, and we know that modulas always gives a positive number.
How to determine absolute value?The number which is given in the question is -12 and we have to find the absolute value of this number. To find out the absolute value we have to put this number in modulas.
I -12 I =it will give us 12
to make -12 to 12 we need to first take it to 0 by adding 12 and then from 0 to 12 by adding another 12. We have added 24 to-12 to reach 12.
In this way we can find the absolute value of -12 on number line.
Learn more about absolute value at https://brainly.com/question/24368848
#SPJ2
If the ratio of boys to girls is 1:4 and there are 20 girls in your class, how many boys are there?
Answers
If AB represents 50% , what is the length of a line segment that is 100%
A ----------------------------------------------B. . 3in.
Answers
Solve the following equation for x: 6(4x+5)= 3(x+8)+3. Round to the nearest hundredth.
Answers
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
24x - 3x = 27 - 30
21x = - 3
x = -3/21
x = - 0.143 <==
6(4x+5)=3(x+8)+3
Distribute.
24x+30=3x+24+3
24x+30=3x+27
Subtract 30 on both sides.
24x= 3x-3
Subtract 3x on both sides.
21x=3
Divide both sides by 21.
x=0.142857... the question said hundredth so:
x=0.143
I hope this helps!
~kaikers
Alfred made 21 goals in 3.5 minutes. What is Alfred’s unit rate?
Answers
An architect is designing square windows with an area of ( x 2 + 20x + 100) ft2 . The dimensions of the windows are of the form ax + b, where a and b are whole numbers.
a. Find the dimensions of each square window.
b. Find an expression for the perimeter of a window.
c. Find the perimeter of a window when x = 4.
Answers
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
What is the solution of the system? Use either the substitution method or the elimination method. 4x + 2y = 104x + 2y = 10 x − y = 13x − y = 13
There is no solution.
(3.5, −1)
(6, −7)
(−7.5, 2)
Answers
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
6y+52=10
6y=-42
y=-7
Now substitute value of y in x=y+13
x=-7+13
x=6
Answer: (6,-7)
which function defines the sequence -6, -10, -14, -18, where f(6)=-26
Answers
Mathematics defines function as an expression that points a relationship between two variables.
Sequence is a list of numbers in certain order.
The function that defines the sequence -6,-10,-14,-18 is [tex]\rm f(x)= -4x-2[/tex]
To justify above answer, following calculations are required:Given:
[tex]\rm f(1)=-6\\f(2)=-10\\f(3)=-14\\f(4)=-18\\f(6)=-26[/tex]
Substituting x=1 in function [tex]\rm f(x)= -4x-2[/tex]
[tex]\begin{aligned}\rm f(1)&= -4(1)-2\\&=-6\end[/tex]
x=2
[tex]\begin{aligned} \rm f(2)&= -4(2)-2\\&=-10\end[/tex]
x=6
[tex]\begin{aligned}\rm f(6)&= -4(6)-2\\&=26\end[/tex]
Therefore the function [tex]\rm f(x)= -4x-2[/tex] defines the sequence.
Learn more about the topic here:
https://brainly.com/question/5245372
if triangle rst is an acute angle then m
Answers
The area of a rectangle is 1,176 square meters.The width of the rectangle is 21 meters.What is the length of the rectangle?
Answers
area/width
=length
=1176÷21
=56m
Answer:
Length = 56 meters
Step-by-step explanation:
We can find the length of the rectangle which has an area of 1,176 square meters and width of 21 meters with this formula:
[tex]\boxed{Area(A)=length(l)\times width(w)}[/tex]
Given:
[tex]A=1,176\ m^2[/tex][tex]w=21\ m[/tex]Then:
[tex]\begin{aligned}A&=l\times w\\1,176&=l\times21\\l&=1,176\div21\\l&=56\ m\end{aligned}[/tex]