Answers
Answer:
sin s = 36 / 42 = 18 / 21 = 6/ 7
sin R = 14 / 42 = 7 / 21 = 1 / 3
cos s = 14 / 42 = 1 / 3
cos R = 36 / 42 = 6 / 7
Related Questions
In the diagram below. De and Ef are tangent to 0. Which equation could be solved to find y, the measure of DGF? O A. ;(-127) = 53 OB. }(v + 127) = 53 O c. }(y-53) = 127 OD. } (x + 53) = 127
Answers
Answer:
A
Step-by-step explanation:
The tangent- tangent angle DEF is half the difference of the measure of the intercepted arcs , that is
[tex]\frac{1}{2}[/tex] (y - 127) = 53 → A
The intercepted arcs of y is 1/2(y -127) = 53.
What is intercepted arc?
The intercepted arc exists the arc that exists inside the inscribed angle and whose endpoints exist on the angle. The vertex of an inscribed angle can be anywhere on the circle as stretched as its sides intersect the circle to construct an intercepted arc.
Let, DE and EF exist as tangents to O.
The value of y will be evaluated as follows:
For angle created outside of circle by intersection:
Two tangents or two secants or a tangent and a secant, the formula for angle created outside will be:
An angle formed outside = 1/2(Difference of Intercepted Arcs)
An angle formed outside exists ∠DEF = 53°
Intercepted arcs exist y and 127°
Hence, 53 = 1/2(y -127)
Therefore, the correct answer is option C). 1/2(y -127) = 53.
To learn more about intercepted arcs refer to:
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The system of equations
IX = y-1 ly+4=X+6 has
A no solution
B one solution
C infinitely many solutions
Answers
Answer:
no solution
Step-by-step explanation:
y = x+1 and y = x + 2 don't touch because they are parallel
if you don't know what parallel means, just search it up, but i can explain it to you:
parallel means same slope or same steepness of line
Identify the 3 terms by name: 5x2 - 7x + 2
Answers
Answer:
5x2-7x-1
Step-by-step explanation:
STEP1:Equation at the end of step 1
((5x2 - 7x) - 3) + 2
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 5x2-7x-1
The first term is, 5x2 its coefficient is 5 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 5 • -1 = -5
Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is -7 .
-5 + 1 = -4 -1 + 5 = 4
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answers
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
Solve this problem.
A pair of inline skates that usually sells for $40 is on sale at a 30% discount.
What is the sale price?
Answers
Answer:
$28
Step-by-step explanation:
original price = $40
discount = 30%
discount amount = 30% of original price
=30/100 * 40
=$1200/100
=$12
sale price = original price - discount amount
=$40 - $12
=$28
Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 in. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?
Answers
Answer:
[tex]\approx 68\%[/tex]
Step-by-step explanation:
For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].
*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.
Answer:
68.26%Step-by-step explanation:
Given:
Mean μ = 5 inStandard deviation σ = 0.1 inThe squares between 4.9 and 5.1 represent:
x = 5 ± 0.1Relevant z- scores are:
z = (x - μ)/σz = (5.1 - 5)/0.1 = 1z = (4.9 - 5)/0.1 = -1From the z-score table we get:
z = 1 ⇒ 84.13% markz = -1 ⇒ 15.87% markThe data between these points is:
84.13% - 15.87% = 68.26%9. Select all expressions that are
equivalent to 18a – 12.
2(9a - 6)
6(3a – 2)
-3(6a + 4)
3(6a + 4)
0 (
— 3(4 – 6а)
Answers
Answer:
Step-by-step explanation:
2(9a - 6) = 2*9a - 2*6 = 18a - 12
Yes, it is equivalent.
6*(3a-2) = 6*3a - 6*2 = 18a - 12
Yes, it is equivalent.
-3(6a+4)= -3*6a + 4*(-3) = -18a - 12
No, not equivalent
3(6a+4) = 3*6a + 3*4 = 18a + 12
No, not equivalent
-3(4-6a) = -3*4 - 6a*(-3 ) = -12 + 18a = 18a - 12
Yes, it is equivalent.
Answer:
2(9a - 6), 6(3a – 2) and -3(4 – 6а)Step-by-step explanation:
2(9a - 6) = 2 × 9a + 2 × (-6)
= 18a - 12
6(3a - 2) = 6 × 3a + 6 × (-2)
= 18a - 12
- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)
= - 12 + 18a = 18a - 12
help asap ---------------------------
Answers
Answer:
"D"
the start point is below zero and is doing deeper
Step-by-step explanation:
Anyone know the answer to this ??
Answers
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown
below.
y = x + 10
y=-x+3
Which of the followine statements is a correct step to find x and y?
A add the equations to eliminate x
B multiply the equations to eliminate y
C write the points where the groans of the equation intersect the x axis
D write the points where the graphs equation intersect the y axis
Answers
Answer:
a. add the equations to eliminate x
Step-by-step explanation:
this is called process of elimination
Does anyone know the answer to this question ?
Answers
Answer:
12/25 = 48/100 = .48 = 48%
Step-by-step explanation:
The variable 100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answers
Answer:
second option is correct
set up an equation and solve for x! 25 points!
Answers
Answer:
7
Step-by-step explanation:
70+16x-2
68+16x=180
16x=180-112
x=112/16
x=7
Answer:
x = 7
Step-by-step explanation:
70 + 16x - 2 = 180 degree (being co interior angle)
68 + 16x = 180
16x = 180 - 68
16x = 112
x = 112/16
x = 7
what is the mean of the data set 8, 8, 9, 11, 24
Answers
Answer:
12
Step-by-step explanation:
8+8+9+11+24=60
60/5=12
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{Well, you know that mean means average. You have to find the}\\\large\text{sum of all of the number in the data set and divide the sum by}\\\large\text{by the total numbers in the data.}[/tex]
[tex]\mathsf{\dfrac{8+8+9+11+24}{5}}[/tex]
[tex]\mathsf{8 + 8 + 9 + 11 + 24}\\\mathsf{8 + 8 = \boxed{\bf 16}}\\\mathsf{= 16 + 9 + 11 + 24}\\\mathsf{16 + 9 = \boxed{\bf 25}}\\\mathsf{= 25+11+24}\\\mathsf{25+11=\boxed{\bf 36}}\\\mathsf{36+ 24}\\\boxed{= \mathsf{\bf 60}}[/tex]
[tex]\mathsf{\dfrac{60}{5}}\\\\\\\mathsf{= \dfrac{60\div5}{5\div5}}\\\\\\\mathsf{= 60\div5\rightarrow\boxed{\bf 12}}\\\\\\\mathsf{= 5\div5\rightarrow\boxed{\bf 1}}\\\\\mathsf{\rightarrow \dfrac{12}{1}= \boxed{\bf 12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge Your \bf {MEAN is 12}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answers
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
https://brainly.com/question/5715879
please help me with my question
Answers
Answer:
14.3%
Step-by-step explanation:
subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%
Answer:
14.28 %
Step-by-step explanation:
cost price of an umbrella = 280
selling price of an umbrella = 320
profit% = SP - CP / CP *100%
=320 - 280/280 * 100
=40/280 * 100
=4000/280
=14.28
Shem will select a letter at random from the word “PROBABILITY”. Japhet will select a letter at random from the word “STATISTICS”. Who is more likely to pick the letter “I”?
Answers
Answer:
The answer to this situation would be that Japhet will be most likely to pick the letter “I.”
Step-by-step explanation:
First, calculate how many letters each word has:
P R O B A B I L I T Y - 11 Letters
S T A T I S T I C S - 10 Letters
Next, calculate how many “I”'s each letter has:
"Probability" has two “I”'s.
"Statistics" has two “I”'s.
Finally, divide the amount of “I”'s in the word by it's letter count:
"PROBABILITY" - 2 “I”'s / 11 Letters ≈ 18%
"STATISTICS" - 2 “I”'s / 10 Letters = 20%
So, Japhet would have the better probability to choose the letter “I.”
Hope this helps!
what's the explicit formula for 5,10,15,20,25,30
Answers
Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n
On a piece of paper, graph this system of equations. y=x-2. y= x2 - 6x + 8
Then determine which answer choice matches the graph you drew and identify the solutions to the system.
A. Solutions: (2,0) and (5, 3)
B. Solutions: (2,0) and (4,2)
C.Solutions: (-2,0) and (2,0)
D.Solutions: (2,0) and (3,-1)
Answers
The correct answer for the equation is: solutions (2,0) and (5,3).
According to the question, the expression can be simplified by substituting the values in the expression:
Therefore the required expression can be written as:
(x = 2; y = 0) and (x = 5; y = 3)
[tex]y = x-2 = 2-2 =0[/tex]
[tex]y = x-2 = 5-2 =3[/tex]
Both the solutions satisfied the given expression.
(x = 2; y = 0) and (x = 5; y = 3)
[tex]y=x^{2} -6x+ 8 = 4 -12+8=0[/tex]
[tex]y=x^{2} -6x+ 8 = 25 -30+8=3[/tex]
Both the solutions satisfied the given expression.
Hence, the correct answer for the equation is: solutions (2,0) and (5,3).
What is simplification?
The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
To learn more about the simplification from the given link:
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B
47°
F
G
A
C
20
J
H Н
Answers
Answer:
umm, sorry! but what are you trying to ask??
Evaluate expressions- if A=4 and B=9 what is the value of the following expression
20/a+7•b
A.28
B.33
C.68
D.108
Answers
Answer:
68
Step-by-step explanation:
just put the value of a and b in the expression and you will get the answer
20/a+7.b is
20/4+7×9
5+63
68
Answer:
C. 68
Step-by-step explanation:
Fill in your values.
20/ 4 + 7 x 9
Solve using PEMDAS.
5 + 7 x 9
5 + 63
68
Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answers
Answer:
hope this will help you more
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?
Answers
Answer:
the number of student that took the test is missing
I think it is 100?
79 is 1 sigms (1 standard deviation) above the mean....
1 sd is 84% ... 16% are above the 79
multiply the students that took the test by .16
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 159. i just took the test and got it right
A piece of ribbon is cut into two pieces in the ratio 3:7. The length of the shorter piece is 45cm. Calculate the length in cm of the longer piece of ribbon.
Answers
Answer:
105 cm
Step-by-step explanation:
3/7 = 45/x
cross-multiply:
3x = 315
x = 105
1) The population of Leafy Lake starts at 3,000 and grows by 25% every year. What will the population be in 6 years?
how do I solve it
Answers
100x = 3,000x25
100x = 75,000
100x/100 = 75,000/100
X = 750
750x6 = 4,500
Every year the population goes up by 750, in 6 years the population would be 4,500 people.
Answer:
Step-by-step explanation:
Rate of increase = r = 25%
n = number of years = 6
P = Current population = 3000
Population after n years = [tex]P*(1 + \frac{r}{100})^{n}[/tex]
[tex]= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=[/tex]
Area of the base=
A) 8 pie square units
B) 16 pie square units
C) 64 pie square units
Answers
Answer:
16 pi
Step-by-step explanation:
The base is the circle
A = pi r^2
A = pi (4)^2
A = 16 pi
Answer: 16[tex]\pi[/tex] square units
Step-by-step explanation:
This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve
[tex]\pi 4^2\\\pi 16\\16\pi[/tex]
what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?
Answers
Answer:
- 30
Step-by-step explanation:
3x + 2y - 5xy
3(2) - 2(3) - 5((2)(3))
6 - 6 - 30
6 - 6 - 30
- 30
Jay has a car worth $36,001. It is depreciating at a rate of 16% per year. How much will
it be worth in 3 years?
Answers
Answer:
$18,720.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Depreciation Formula: A = P(1 - rt)
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 36001
r = 16% = 0.16
t = 3
Step 2: Find Cost
Substitute in variables [Depreciation Formula]: A = 36001(1 - 0.16 · 3)(Parenthesis) Multiply: A = 36001(1 - 0.48)(Parenthesis) Subtract: A = 36001(0.52)Multiply: A = 18720.5What is the area? Bit confused on this one.
Answers
Answer:
x² + 8x + 12
Step-by-step explanation:
see
the length of the entire rectangle = x + 6
breadth of the entire rectangle = x + 2
area of a rectangle = length × breadth
= (x + 6)(x + 2)
= x² + 8x + 12
which is the required polynomial in standard form
Answer:
x^2 + 8x + 12
Step-by-step explanation:
length = x+6
breadth = x+2
ara of rectangle = l*b
=(x+6)(x+2)
=x(x+2) +6(x+2)
=x^2 + 2x + 6x +12
=x^2 + 8x +12
