Answer:
13
Step-by-step explanation:
Let PS = x and RP = x-5
Using Pythagorean theorem on the two smaller rt triangles formed,
6^2 + x^2 = (ST)^2
6^2 + (x-5)^2 = (RT)^2
Now use Pythag on big triangle and sub in above values:
(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2
Multiply out and simplify to
x^2 - 5x -36 = 0
Factor the quadratic: ((x-9)(x+4)=0 Therefore x=9 or x=-4. We may disregard the negative answer so x = 9. So PS is 9 and RP is 4.
Therefore entire hypotenuse is 4 + 9 or 13.
The value of a correlation coefficient, r, is 0.9841. What does the value of the correlation coefficient indicate? Group of answer choices There is weak or no correlation between Yumiko's exercise time and how far she runs. There is a causal relationship between Yumiko's exercise time and how far she runs. There is a strong positive correlation between Yumiko's exercise time and how far she runs. There is a strong negative correlation between Yumiko's exercise time and how far she runs.
Answer: There is a strong positive correlation between Yumiko's exercise time and how far she runs.
Step-by-step explanation:
The correlation Coefficient value measures the relationship between two variables in other it determine the strength of association between them. The Coefficient could take any value between - 1 to + 1 with negative r values depiction negative relationships while positive values means positive relationship. The closer the r value is to either 1 or - 1, the stronger the relationship between hen m
Question 12
7 pt
Marcus bought school supplies for $42.00, not including tax. If the tax rate was 8.5%,
what was the total cost of the school supplies, including tax?
Answer:
$45.57
Step-by-step explanation:
First, calculate the dollar amount of the tax. This can be done by multiplying the price by the sales tax percentage
$42 × 8.5%= $3.57
Now, add the sales tax amount back to the price.
42 + 3.57 = 45.57
[tex]x^a=y^b=z^c \\xyz=1\\ab+bc+ca=?[/tex]
Answer:
ab+bc+ca=0
Step-by-step explanation:
We are given:
[tex]x^a=y^b=z^c[/tex]
xyz=1
Separating equations:
[tex]x^a=z^c[/tex]
[tex]y^b=z^c[/tex]
Solving the first equation for x:
[tex]\displaystyle x=z^\frac{c}{a}[/tex]
Solving the second equation for y:
[tex]\displaystyle y=z^\frac{c}{b}[/tex]
Substituting in
xyz=1:
[tex]\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1[/tex]
Adding the exponents:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1[/tex]
Since [tex]1=z^0[/tex]:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0[/tex]
The base is z on both sides so we get rid of them:
[tex]\displaystyle \frac{c}{a}+\frac{c}{b}+1=0[/tex]
Multiplying by ab:
bc+ac+ab=0
Reordering:
ab+bc+ca=0
The student council at Summerfield High School is making T-shirts to sell for a fundraiser, at a price of $11 apiece. The costs, meanwhile, are $10 per shirt, plus a setup fee of $141. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answer:
$1551 needed to cover the costs and 141 shirts will be sold.
Step-by-step explanation:
If a shirt costs $10 and the council is selling the shirt for $1 more ($11), after selling 141 shirts, they would have made a profit of $1*141=$141. Since there is also a setup fee of $141, the profit would actually be $0. This is when the costs are covered.
C = 10s + 141 (C is cost and s in no. of shirts sold)
s = 141
C = 141*10 + 141 = 1551
Hope this helps!
I cant solve this question :(
Answer:
a) tan x = 1
b) tany = 4 + tanx /2tanx - 3
Step-by-step explanation:
a) Given the equation
2(sinx + 2cosx) = sinx +5cosx
Open the bracket
2sinx + 4cosx = sinx +5cosx
Collect like terms
2sinx - sinx = 5cosx - 4cosx
sinx = cos x
Divide both sides by cos x
sinx/cosx = cosx/cosx
tanx = 1
Hence the value of tan x is 1
b) Given the expression
sinxcosy + 3cosxsiny = 2sinxsiny - 4cosxcosy
We are to express tany in terms of tan x
Divide through by cosx cosy
sinxcosy/cosx cosy + 3cosxsiny/cosx cosy = 2sinxsiny/cosx cosy - 4cosxcosy/cosx cosy
sinx/cosx + 3siny/cosy = 2tanxtany - 4
tanx +3tany = 2tanxtany - 4
Collect like terms
tanx - 2tanxtany = -4 - 3tany
- 2tanxtany+3tany = -4 - tanx
tany (-2tanx+3) = -4 - tanx
tan y = -4 - tanx/-2tanx+3
tan y = -(4+tanx)/-(2tanx-3)
tany = 4 + tanx /2tanx - 3
Hence the function of tany in term of tan x is tany = 4 + tanx /2tanx - 3
Write an express for the perimeter of the figure shown by combing like terms.
Answer:
21w+3
Step-by-step explanation:
1) 9w+5+5w+7w-2
2) 9+5+7=21.
3) 5-2=3
can anyone help me please? thanks ^^
Answer:
bruh im learning this right now, im pretty sure its ASA
Pleaseeeee helppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
26
Step-by-step explanation:
just add a few points
Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function Y=8/5x+ 3/5
Answer:
A general lineal equation is written as:
y = a*x +b
Where a is the slope (also called the rate of change) and b is the y-intercept-
For a line that passes through the points (x1, y1) and (x2, y2)
The slope will be:
a = (y2 - y1)/(x2 - x1)
For the line:
Y= (8/5)*x+ 3/5
The slope, or rate of change, is 8/5.
Then we want to find two points (x1, y1) and (x2, y2) such that the slope generated by them is larger to 8/5.
There are a lot of ways to finding these points, a simple way is:
We could define (x1, y1) = (0, 0)
And (x2, y2) = (5, 9)
Then the rate of change of the line that passes through these two points will be
a = (9 - 0)/(5 - 0) = 9/5
Which is larger than 8/5, as we wanted.
Graph y= 1/3x+3 .
i need help with it
Answer:
the y intercept is 3 and you go up 1 over 3 from the y intercept
Step-by-step explanation:
the y intercept is 3 and you go up 1 over 3 from the y intercept
Pls help I'm in 4th grade and I was sick when we learned this pls pls help :( PLS
Answer:
He needs to cut 20.
Step-by-step explanation:
Which student consumed the most calories?
Mario
Tim
Kim
Kia
Answer: Kia
Step-by-step explanation:
Does Anyone Know This
Answer:
1 g-h
2 g^2-h
3 gh
4 g+h
5 h-g
6 g+h^2
Step-by-step explanation:
what is the average of 110 and 93 ??????
Answer:
101.5
Step-by-step explanation:
The local Farm Market sells peppers at five for $2.25. Complete the rate table.
The proportionality is 0.45, then the equation is C = 0.45 n. The number of peppers you buy for $20 will be 44.44. Then the table is completed below.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Let 'C' be the cost and 'n' be the number of peppers. Then the proportionality is given as,
C ∝ kn
At n = 5, the cost C = 2.25, then we have
2.25 = k (5)
k = 2.25 / 5
k = 0.45
Then the equation is given as,
C = 0.45 n
The number of peppers you buy for $20 will be given as,
20 = 0.45 n
n = 44.44
Then the table is completed below.
Number of peppers Cost
1 $0.45
2 $0.90
3 $1.35
4 $1.80
5 $2.25
10 $4.50
15 $6.75
20 $9
100 $45
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
You score a 95% or your mouth quiz the quiz was out of 60 points how many points did you get
Answer:
It will be 57 points.
Step-by-step explanation:
Evaluate f(-2) if f(x) = x2+ 3
Answer:
f(-2) = 7
Step-by-step explanation:
-2 squared would be a positive 4 then add 3
Answer:
f(-2) = 7
Step-by-step explanation:
becuase yes
does anyone know what the. distance would be ?? plz answer asap only if you are correct:)
Answer:
6 units :)
Step-by-step explanation:
Please answer!!!! And show work if possible!!!!!
Step-by-step explanation:
Triangles ABX and DCX are similar.
Since they are similar, AX/DX = AB/DC.
Hence AX/2.8 = 8/4 and AX = 5.6.
14x15 in area model i need help
Answer:
210
14x15=210
Step-by-step explanation:
14x15 =210
The three consecutive terms
of an exponential sequence are
the second third and sixth terms
of a linear sequence. Find the
common ratio
the exponential
sequence.
Answer:
1Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
Hence the common ratio of the exponential sequence is 1
The sides of four triangles are given...
Answer:
Triangle C is
Step-by-step explanation:
can i get brainliest answer pleaseeee
What is 60% of $55?
$____
Answer:
33
Step-by-step explanation:
.6 * 55 = 33
Answer:
$33
Step-by-step explanation:
Cross multiply 60/100=x/55
=>60(55)=100x
=>3300=100x
divide both sides by 100 to get x by itself=> 33=x
expanded form of 54.98
Find the slope of a line parallel to each given line. y = − 1 4 x − 2
I’ll give brainlest to you if you answer this question correctly!
Answer:
Step-by-step explanation:
we can take any value as its two variable equation.
(-3,0) (0,9) (-2,3)
put these numbers on a graph
I hope this helps
if
f(x)=3x+1 and f^-1= x-1/3,
then f(2)=
Answer:
f(2) = 7Step-by-step explanation:
f(x) = 3x + 1 ⇒ f(2) = 3×2 + 1 = 6 + 1 = 7
13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?
Answer:the number is 8
Step-by-step explanation:
Step 1
Let x be the number 13 was subtracted from so that the difference becomes x-13
i. dividing the resulting difference by 5, then (x-13)/5
ii. Multiplying the quotient by 7 makes the expression become (x-13)/5 x 7
with the product coming to -7 we have our final equation as
(x-13)/5 x 7 = -7
Step 2 -----solving the equation
(x-13)/5 x 7 = -7
Ist divide both sides by 7,
(x-13)/5 =-1
cross multiplying gives
x-13=-5
x= -5+ 13
x=8
the number is 8
how many times will lines 3x+4y=8 and y-5x=2 intersect
Find the mean, median, mode, and range of the data below:
1)
# Words in Book Titles
2
6
5
5
5
4
4
2
3
2
3
2 1 2
2
Answer:
6.75
Step-by-step explanation:
Find the mean of the set {2,5,5,6,8,8,9,11} .
There are 8 numbers in the set. Add them all, and then divide by 8 .
2 + 5 + 5 + 6 + 8 + 8 + 9 + 118=548=6.75