Answer:
11) 2√3
12) 4√3
Step-by-step explanation:
11)
tg60 = 6/x
x= 6/tg60
x= 6/ √3
x= 2√3
12)
a2= (b)2 + (c)2
a2= (6)2 + (√3)2
a2= 36 + 12 = 48
a= √48
a= 4√3
I hope this helps you :)
Solve for X.
please help
Answer:
x = 10
Step-by-step explanation:
We can use ratios to solve
Side over bottom
5 5+3
---- = --------
x 16
Using cross products
5 * 16 = (5+3)*x
80 = 8x
Divide by 8
10 = x
x = 10. This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x
Which number could represent point Z
What number is not a factor of 24
What are the numbers between the lower quartile and the upper quartile called in a box-and-whisker plot?
Open ended quistion
Answer:
lower quartile would be Q1 and the upper quartile would be Q3
23, 24, 25, 20, 25, 29, 24, 25, 30
Mean?
Median?
Mode?
Range?
Please help?
Answer:
median = 25. that's the answer
Answer:
Mean - 25
median - 25
range - 10
mode - 25
Brainliest question!
What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!
Answer:
4 will replace?
Step-by-step explanation:
as 3-2=1
6-4=2
4-1=3
8-2=6
again
3-2=1
so
6-x=2
6-2=x
4
plz mark it as brainliest answer
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by
Answer:
The family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
[tex]\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}[/tex] (1)
Where:
[tex]\theta[/tex] - Angle between vectors, in sexagesimal degrees.
[tex]\|\vec a\|, \|\vec b \|[/tex] - Norms of vectors [tex]\vec {a}[/tex] and [tex]\vec{b}[/tex]
If [tex]\theta[/tex] is acute, then the cosine function is bounded between 0 a 1 and if we know that [tex]\vec {a} = (p, 3, -7)[/tex] and [tex]\vec {b} = (p, -p, 4)[/tex], then the possible values for [tex]p[/tex] are:
Minimum ([tex]\cos \theta = 0[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0[/tex]
Maximum ([tex]\cos \theta = 1[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1[/tex]
With the help of a graphing tool we get the family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
The dot product between the two vectors is the product of the magnitude between them times cosine angle.
The possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
To find the value of [tex]p[/tex] we need to perform the dot product of two equation.
How do you multiply vector in dot product?The dot product between the two vectors is the product of the magnitude between them times cosine angle
Given information-
The vector equation given in the problem is,
[tex]a = p\hat i +3\hat j - 7\hat k[/tex]
[tex]b = p\hat i - p\hat j +4\hat k[/tex]
For acute angle, the dot product of [tex]a,b[/tex] less than equal to zero.
Thus,
[tex]a .b<0[/tex]
Put the values,
[tex](p\hat i +3\hat j - 7\hat k)(p\hat i - p\hat j +4\hat k)<0[/tex]
In the dot product the multiplication of different unit vector is zero. Thus,
[tex]p^2-3p-28<0[/tex]
Factorize above equation using the split the middle term method as,
[tex]p^2-7p+4p-28<0\\(p-7)(p+4)<0[/tex]
As the factor of the above equation is 7 and -4.
Thus the possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
Learn more about the dot product here;
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ok help due in 1 hour
Answer:
7.2 =x
Step-by-step explanation:
We know that
sin theta = opp / hyp
sin 41 = x/y
sin 41 = x/11
11 sin 41 =x
7.216649319 =x
Rounding to 1 decimal place
7.2 =x
3
PLEASE HELP ME
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar
Consider the equation.
4(pr + 1) = 64
The value of xin terms of pis
The value of x when pis -5 is
Reset
Next
Answer:
ans : x in terms of p is 15/p and if p is -5 than x= -3
Step-by-step explanation:
4( px +1 ) = 64
( Px + 1 ) = 64/4
px = 16 - 1
x = 15/p
and , if p= -5 than,
x = 15 / (-5)
= - 3
What is the value of u?
Answer:
you on the games
Step-by-step explanation:
Answer:
I think its 58
Step-by-step explanation:
Work out the value of the expression 2n + 1 when n= -5.
11
Step-by-step explanation:
2 times 5 +1=11
Answer:
2n+1=-5
2n=-5-1
2n=-6
n=-6÷2
n=-3
A class of girls to boys is 5:3. If there are 9 boys, how many girls are in this class
Answer:
15 girls
Step-by-step explanation:
Girls : Boys
5 3
To get to 9 boys multiply by 3
Girls : Boys
5*3 3*3
15 9
There are 15 girls
what is the answer pleaseee
Answer:
7
Step-by-step explanation:
In most cases the first step is to create an equation to solve for the missing variable
But in this case we are already given the equation
(7.25h + 5 = 6.5h + 10.25)
All we have to do is solve for h
7.25h + 5 = 6.5h + 10.25
Step 1 subtract 5 from both sides
7.25h = 6.5h + 5.25
Step 2 subtract 6.5h from both sides
0.75h = 5.25
Step 3 divide both sides by .75
h = 7
So at 7 hours the cost will be the same for both instructors
This negative when developed will produce a 4” by 6” photograph. What is the length of each negative, if the width is 24 millimeters
The solution to the system below is (1, -3).
2y + x = -5 and y - 3x = -6
Which graph correctly represents this?
The graph correctly represents this system is attached below.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given system of equation as;
2y + x = -5
y - 3x = -6
The solution to the system of equations is given as (x, y) = (1, -3).
The solution to the system of equations ploted on the graph is the point where the lines intersect.
The coordinates of the point of where the lines cross are (1, 3).
Learn more about equations here;
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Helpppppppppppp..!!!!!’nnnnmmmm
Step-by-step explanation:
heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya
solve the proportion : 4/7=52/x
Help pleaseeeeeeeeeeeeeeeeeeeeee ASAP
(12 ÷ 3 ∙ 2) + 4 − 5
Answer:
7
Step-by-step explanation:
(4·2)+4-5
8+4-5
12-5=
7
4. Convert the following fractions to decimals
1. 23/100
Answer:
0.23
Step-by-step explanation:
Using either long division or a calculator, divide 23 by 100; you will get the result 0.23.
Answer:
0.23 hope tbis helps :)
Step-by-step explanation:
In 2009, a school population was 1,700. By 2017 the population had grown to 2,500. Assume the population is changing linearly.
Find an equation for the population, P, of the school t years after 2009.
Answer:
P(t) = 100t + 1900
Step-by-step explanation:
∆P = 2500 - 1700 = 800
∆t = 2017 - 2009 = 8
m = ∆p/∆t = 800/8 = 100
b = initial pop = 1900
using slope intercept form
P(t) = 100t + 1900
URGENT PLEASE HELP ANSWER ASAP FOR BRAINLIEST !!!!!!!!!!
1/2
Hope this helps! :)
______________
Answer:
1/2
Step-by-step explanation:
you use rise/run so its (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50
Factor the following expression: $55z^{17}+121z^{34}$.
Answer:
2r5r
jr = 986 which is 459=100 equals wrong
The factorization of the given expression [tex]55z^{17}+121z^{34}[/tex] is [tex]11z^{17}(5+11z^{17})[/tex].
What is the factorization of an expression?"Factorization is a method of finding factors for any polynomial or any algebraic expression."
The given expression is
[tex]55z^{17}+121z^{34}[/tex]
By factorizing it, we get:
[tex]55z^{17}+121z^{34}\\= 11z^{17}(5+11z^{17})[/tex]
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Given the function g(x) = 3x² - 5, find the values of t such that g(x) = -7/2t.
Answer:
Step-by-step explanation:
-7/2t = 3x^2 - 5
t = -2(3x^2 - 5)/7
The value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function:
g(x) = 3x² - 5
To find the value of such that g(x) = -(7/2)t
Equate both the equations:
3x² - 5 = -(7/2)t
After simplification:
t = [2/7](5 - 3x²)
The above equation represents the value of t.
Thus, the value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.
Learn more about the function here:
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A market sells cucumber for 1.20 the cost of each cucumber is the same
Answer:
Step-by-step explanation:
Let the number of cucumber = x
And the cost of the cucumber = y
Cost of the cucumber will be directly proportional to the number of cucumbers.
y ∝ x
y = kx [Here, k = proportionality constant]
Since, market sells 3 cucumbers for $1.2
1.2 = k(3)
k = 0.4
Therefore, equation for this situation will be,
y = 0.4x
Part A
If x = 1,
y = 0.4(1)
= 0.4
For x = 2,
y = 0.4(2)
= 0.8
For x = 3,
y = 0.4(3)
= 1.2
Number of cucumbers Cost($)
1 0.4
2 0.8
3 1.2
Part B
Equation representing relation between number of cucumbers and the cost will be,
y = 0.40x [Option A]
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back? *
If charlie bikes at an average speed of 7miles per hour how many hours will take to ride 28 miles
Answer:
It will take him 4 hours.
Step-by-step explanation:
7x4= 28 miles
can someone help me find the function please
Carlos walk to school on the 14th of 20 days in February which value is equivalent to the fraction of school days in February that Carlos walk to school
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that,
Carlos walk to school on the 14th of 20 days in February.
We need to find the equivalent to the fraction of school days in February that Carlos walk to school.
Required percentage is given by :
[tex]\%=\dfrac{14}{20}\times 100\\\\=14\times 5\\\\=70\%[/tex]
or
[tex]=\dfrac{7}{10}[/tex]
So, the required fraction is equal to [tex]\dfrac{7}{10}[/tex].
If Andrea traveled 300 miles in 5 hours at what rate was she driving?
Answer:
60
Step-by-step explanation:
[tex]\frac{300}{5}[/tex]
60
Hence, 60 is the answer
Answer:
60 mph
Step-by-step explanation:
For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:
[tex]300[/tex]÷[tex]5=60[/tex] miles.
So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.
Andrea was driving at 60 mph.
I hope this helps! Please let me know if you have any questions :)