Given that cot A = 16/63 and that angle A is in Quadrant I, find the exact value of cscA in simplest radical form using a rational denominator.
Answers
Answer:
Below in bold.
Step-by-step explanation:
cot = adjacent side / opposite side = 16/63
So the hypotenuse = √(16^2 + 63^2)
= √4225
= 65.
So csc A = hypotenuse /opposite side
= 65/63
Related Questions
gradient of line AB (3,7) and (5,11)
Answers
Answer:
Gradient is change in y over change in x.
gradient = y1-y2 ÷ x1-x2
=7-11 ÷ 3-5
=-4 ÷ -2
=2
Use the slope/gradient formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
This formula is for when we want to find the gradient when we have two given points. (We also call it Rise Over Run or changes of y over the changes of x.)
We are given two points which are (3,7) and (5,11). Substitute these points in the equation. (the ordered pairs are in (x,y) and not (y,x))
[tex] \large{m = \frac{11 - 7}{5 - 3} } \\ \large{m = \frac{4}{2} \longrightarrow \boxed{m = 2}}[/tex]
Hence, the gradient of AB is 2.
Answer
gradient is 2I need help with this it's urgent!
Answers
Answer:
I looks like it's anwser D
Answer:
$460.80
Step-by-step explanation:
with we us our formula equation I=prt we now cam solve for our depreciated value
with we substitute our varibles with the correct numerals we now get
I= 960 x 0.12 x 4
we turn our 12% into a decimal to be Simplified into our equation.
If we now solve we will get
I = 960 x 0.12 x 4
I = 460.8
Find the distance between the ordered pairs to
the nearest hundredth.
(1,-8) and (2,4)
Answers
Answer:
12.05
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(2 - 1)² + [4 - (-8)]²
√(1)² + (12)²
√(1) + (144)
√145
12.05
Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.
Answers
Answer:
x
=
7
2
,
−
8
3
Step-by-step explanation:
Answer:
o9
[tex]x = - 44 \div 5[/tex]
hope to help you
GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?
Answers
Answer:
s = 71
Step-by-step explanation:
Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is
GJ = [tex]\frac{1}{2}[/tex] HI , so
s - 65 = [tex]\frac{1}{2}[/tex] (s - 59) ← multiply both sides by 2 to clear the fraction
2s - 130 = s - 59 ( subtract s from both sides )
s - 130 = - 59 ( add 130 to both sides )
s = 71
What is the length of Line segment A C?
Answers
Answer:
12
Step-by-step explanation:
The triangles are similar because they have the same angles.
Make a proportion to solve for AC which we will substitute with variable x.
AM = MB = 4
AB = AM + MB = 8
BN = NC = 3
BC = BN + NC = 6
big triangle sides: 8, 6, x
small triangle sides: 4, 3, 6
now we can write proportion.
8/4 = x/6
x = 12
AC = 12
please help me with this .
Answers
Answer:
20:1
Step-by-step explanation:
every 20 dollar she spends she save 1 dollar
What value of b will cause the system to have an infinite number of solutions? y=6x-b -3x+1/2y=-3
Answers
Answer:
b = 6
Step-by-step explanation:
solve the second equation for 'y':
-3x + 1/2y = -3
add 3x to each side to get:
1/2y = 3x - 3
multiply all terms by 2 to eliminate the denominator to get:
y = 6x - 6
now compare '6x-6' with '6x-b'
you want both expressions to be equal because then there are an infinite number of solutions:
b = 6
Please help me i'm struggling!
Answers
A career-placement test eliminates a profession when a person receives a score of 18 or less. The score is equal to the formula 2x - 3y, where x is the number of positive responses and y is the number of negative responses. Which graph represents the range of test results that would be eliminated under this scenario (all points may not apply to the scenario)?
Answers
Answer:
ITS D GOT 100 ON QUIZE
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
bc i said so
What is the radius of a circle with a diameter of 6 meters
Answers
radius = d/2
Hope this helps ;)
Answer:
the radius is 3 m
Step-by-step explanation:
the radius of a circle is always one half of the diameter.
Here the diameter is 6 m, so the radius is 3 m.
A batter gets 6 hits in 12 times at bat. What is the experimental
probability that she will get a hit in her next time at bat?
Answers
Answer:
1/2 or 50% or .5
Step-by-step explanation:
She hits at .500 that's pretty good. I'd take her on my fantasy team.
This figure is known as a triangular prism. Find the surface area in square feet.
10 ft
3 ft
7 ft
8 ft
Answers
How many solutions does the system have?
-87 + 2y = 8
- 40 +y=4
Answers
Answer is : No solution
A system of two equations can be classified as follows:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Definition Linear Equation in One Variable
A linear equation in one variable is an equation that can be written in the form ax+b=c, where a, b, and c are real numbers and .
Linear equations are also first-degree equations because the exponent on the variable is understood to be 1.
Objective 3: Identify Equations That Are Contradictions and Those That Are Identities
A conditional equation is an equation that is true for some values of the variable but not for others. Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers.
Consider the equation x x 1. No matter what value is substituted for x, the resulting value on the right side will always be one greater than the value on the left side. Therefore, the equation can never be true. We call such an equation a contradiction. It has no solution. Its solution set is the empty or null set, denoted by { }
or , respectively.
Now consider the equation xx2x. The expression on the left side of the equation simplifies to the expression on the right side. No matter what value we substitute for x, the resulting values on both the left and right sides will always be the same. Therefore, the equation is always true. We call such an equation an identity. It
What is the edge length of
a cube of 1/8 m^3
Answers
Step-by-step explanation:
The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:
[tex] \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } [/tex]
Find the sum of the first seven prime numbers that have a units digit of 7.
Answers
Answer:
7, 17, 37, 47, 73, 79, 97
Step-by-step explanation:
they have 7's as one of their digits
Solve the equation x =
far for r.
A. r =
=
33
47
O
O
B. r = 3.0 – 45
c. r =
471
32
O D. r= 3x (41)
Answers
Step-by-step explanation:yo
3x+3y=18 x+2y=9 find x and y
Answers
Answer:
x = 3, y = 3
Step-by-step explanation:
Given the 2 equations
3x + 3y = 18 → (1)
x + 2y = 9 → (2)
Multiplying (2) by - 3 and adding the result to (1) will eliminate the x- term
- 3x - 6y = - 27 → (3)
Add (1) and (3) term by term to eliminate x
0 - 3y = - 9
- 3y = - 9 ( divide both sides by - 3 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(3) = 9
x + 6 = 9 ( subtract 6 from both sides )
x = 3
solution is x = 3, y = 3
Answer:
x = 3 , y = 3
Step-by-step explanation:
3x + 3y = 18 -- (1)x + 2y = 9 --(2)Dividing (1) by 3 : x + y = 6 --(3)
x = 6 - y --(3)'
Substituting (3)' into (2),
(6 - y) + 2y = 9
6 - y + 2y = 9
y = 3 -- (4)
Substituting (4) into (3),
x + 3 = 6
x = 3 -- (5)
According to (4) and (5),
x = 3 , y = 3
The solution is {-8, 3} but I’m not sure how to graph it on a line, is it A B C or D?
Answers
Answer:
-8 < x< 3
Step-by-step explanation:
|2x+5| <11
there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
2x+5 <11 and 2x+5 > -11
Subtract 5 from each side
2x+5-5 < 11-5 and 2x+5-5 > -11-5
2x< 6 and 2x>-16
Divide by 2
2x/2 <6/2 and 2x/2 >-16/2
x <3 and x>-8
-8 < x< 3
x is less than 3 and x is greater than -8
open circles and -8 and 3 and a line between
f(x) = 4* and g(x) = 45
Use the values given in the table and the functions to
determine the missing values.
A=
X
f(x)
g(x)
B=
1
-2
C =
16
1
4
-1
UNI->
0
1
1
4
2
2
16
с
Answers
Answer:
The missing values are [tex]A = \frac{1}{4}[/tex], [tex]B = 1[/tex] and [tex]C = 4[/tex], respective.
Step-by-step explanation:
We find the values regarding A, B and C by evaluating [tex]g(x)[/tex] at respective values of [tex]x[/tex]:
[tex]x = -2[/tex]
[tex]g(-2) = 4^{-\frac{2}{2} }[/tex]
[tex]g(-2) = 4^{-1}[/tex]
[tex]g(-2) = \frac{1}{4}[/tex]
[tex]A = \frac{1}{4}[/tex]
[tex]x = 0[/tex]
[tex]g(0) = 4^{\frac{0}{2} }[/tex]
[tex]g(0) = 1[/tex]
[tex]B = 1[/tex]
[tex]x = 2[/tex]
[tex]g(2) = 4^{\frac{2}{2} }[/tex]
[tex]g(2) = 4^{1}[/tex]
[tex]g(2) = 4[/tex]
[tex]C = 4[/tex]
Answer: A=1/4, B=1, C=4
Step-by-step explanation:
Correct on edge 2022
What is the slope of every perpendicular line to y-2/3x=-4
Answers
Answer:
The slope of the line perpendicular is -3/2.
Step-by-step explanation:
y-2/3x=-4
y = 2/3x - 4
The slope of the line perpendicular is -3/2.
A ladder of length 8m rests against a wall so that the angle bsetween the ladder and wall is 45 degree .How far is the base of the ladder from the wall?
Answers
Explanation: Use the 45-45-90 theorem to solve.
45 45 90
s s s√2
8√2 8√2 8
Please help
Calculate the volume of the given figure. Use 3.14 for ™.
3 ft
The volume of the solid figure shown in the drawing is approximately (Round to two decimal places as needed.)
Answers
Answer:
Step-by-step explanation:
Vol of a cylinder = pi * r^2 h
Vol of cone = 1/3 pi r^2 h
cylinder = pi * (1)^2 * (3) = 3 pi
cone = 1/3 pi (1^2) 4 = 4/3 pi
total = 3 pi + 4/3 pi
= pi(3+ 4/3) = pi(4.333)
= 13.6 f^3
Cho ∆ABC;phân giác AD,BE,CF cắt nhau tại I . a, Góc IAC+góc IBC+ góc ICA=? b, Kẻ IH vuông góc với BC . C/m Góc BIH=góc CID
Answers
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.
Students Who Feel More Focused after Exercise
20%
20%
20%
20%
20%
How many students said they feel more focused after exercising?
Answers
Answer:
760
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Step-by-step explanation:
circumference of circle=2πr
=2*π*9
=18π m
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 9 m.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
A. C = 18 π ✅
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:18\:π\:m.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2Πr }[/tex]
[tex] = 2 \: \pi \times 9 \: m \\ = 18 \: \pi \: m[/tex]
Therefore, the circumference of the circle is 18 π m.
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
attachment below or above
Answers
Answer:
840
Step-by-step explanation:
600×140% =840 hope this helps
600 × 140/ 100 = 840 grizzly bears
840 - 600 = 240 grizzly bears
a) Complete the table of values for y = 2x2 + x
Answers
-2 = 6
0 = 0
2 = 10
In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?
Answers
Answer:
Step-by-step explanation:
If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.
If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118
A bakery offers a sale price of $3.00 for 4 muffins. What is the price per dozen?
Answers
Answer:
9 dollars.
Step-by-step explanation:
A dozen is 12.
12/4 = 3
$3 * 3 = $9
Step-by-step explanation:
3×4=12. 12 is a dozen. $3=4 muffins. $6=8 muffins. 9=12 muffins . so $9 for a dozen
