Answers
Answer:
sinC = [tex]\frac{4\sqrt{41} }{41}[/tex]
Step-by-step explanation:
We require to find the side DE before finding sinC
Using Pythagoras' identity in the right triangle
DE² + CE² = CD²
DE² + 5² = ([tex]\sqrt{41}[/tex] )²
DE² + 25 = 41 ( subtract 25 from both sides )
DE² = 16 ( take the square root of both sides )
DE = [tex]\sqrt{16}[/tex] = 4 , then
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DE}{CD}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex] , rationalise the denominator
sinC = [tex]\frac{4}{\sqrt{41} }[/tex] × [tex]\frac{\sqrt{41} }{\sqrt{41} }[/tex] = [tex]\frac{4\sqrt{41} }{41}[/tex]
Related Questions
PLEASE SOLVE what is area of kite
Answers
Answer:
[tex]{ \tt{area = {area \: of \: 4 \: triangles}}} \\ area = \frac{1}{2} \times base \times height \\ \\ { \bf{area = 2(\frac{1}{2} (0.75 \times 1)) + 2( \frac{1}{2} \times 0.75 \times (3 - 1))}} \\ area = 0.75 + 1.5 \\ { \tt{area = 2.25 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
= 1/2 x 3 x 1.5
= 2.25ft
Hopefully that’s correct
In 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. In 1999, tuition had risen to $221 per credit hour. Determine a linear function C(x) to represent the cost of tuition as a function of x, the number of years since 1990 C(x)= *answer here*
Answers
Answer:
The cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the following form:
y= m*x + b
where
m is the slope of the function n is the ordinate (at the origin) of the functionSo, in this case: C(x)= m*( x-1990) + b where x is the number of years since 1990.
Given the coordinates of two points, it is possible to determine the slope m of the line from them using the following formula:
[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]
In this case, you know that in 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. And in 1999, tuition had risen to $221 per credit hour. So:
x1= 1990y1= 95x2= 1999y2= 221So the value of m is:
[tex]m=\frac{221 - 95}{1999 - 1990}[/tex]
[tex]m=\frac{126}{9}[/tex]
m= 14
So C(x)= 14*( x-1990) + b. In 1999, tuition had risen to $221 per credit hour. Replacing:
221= 14*(1999 - 1990) + b
221= 14*9 +b
221= 126 + b
221 - 126= b
95= b
Finally, the cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Which choice is equivalent to the fraction below when x is an appropriate value? 4/4-sqrt(6x)
Answers
Answer: Choice C) [tex]\frac{8+2\sqrt{6x}}{8-3x}[/tex]
======================================
Work Shown:
[tex]y = \frac{4}{4-\sqrt{6x}}\\\\y = \frac{4(4+\sqrt{6x})}{(4-\sqrt{6x})(4+\sqrt{6x})}\\\\y = \frac{4(4+\sqrt{6x})}{4^2 - (\sqrt{6x})^2}\\\\y = \frac{4(4+\sqrt{6x})}{16-6x}\\\\y = \frac{2*2(4+\sqrt{6x})}{2(8-3x)}\\\\y = \frac{2(4+\sqrt{6x})}{8-3x}\\\\y = \frac{8+2\sqrt{6x}}{8-3x}\\\\[/tex]
This shows why choice C is the answer.
----------------
Notes:
If you have a+sqrt(b) in the denominator, multiply top and bottom by a-sqrt(b) which is the conjugate, and that will rationalize the denominator.In the second step, I multiplied top and bottom by 4+sqrt(6x) to rationalize the denominatorIn step 3, I used the difference of squares rule. In the step afterward, the square root is eliminated.MAGALI COMPRAR 15 CHOCOLATES A $0,75 CADA UNA , Y 13 PAQUETES DE GALLETAS A $ 1,25 CADA UNO ¿CUANTO DEBBE PAGAR?
Answers
Answer:
The total amount paid is $ 27.5.
Step-by-step explanation:
MAGALI BUY 15 CHOCOLATES AT $ 0.75 EACH ONE, AND 13 PACKAGES OF COOKIES AT $ 1.25 EACH, HOW MUCH SHOULD I PAY?
Number of chocolates = 15
Cost of a chocolate = $ 0.75
Packet of cookies = 13
cost of one packet of cookie = $ 1.25
The total amount paid is
= 15 x $ 0.75 + 13 x $ 1.25
= $ 11.25 + $ 16.25
= $ 27.5
find the value of (1) sin 60°+cis 30°/ tan 30°*tan 60°
Answers
Answer:
sin60°+cos30/tan30*tan60
1/2+√3/2/1
1+√3/2
if the radius is 91cm what would be the diameter and circumference?
Answers
Answer:
C=3.14*91
D=91*2
C=285.74
D=182
Hope This Helps!!!
a square garden has an area of 6400 square find its perimeter
CAN SOMEONE HELP ME PLZ
Answers
Answer:
what is it's perimeter?
the force which pulls or tends to pull a body is called____
Answers
Answer:
force of gravity
hope it helps
pls mark me as the brainliest
thank u
Answer:
pulling force
Step-by-step explanation:
There is no special name for that.
Physics is usually just concerned with "forces", and doesn't specify whether the force pushes or pulls.
If you want to be more specific, you can just call it a "pulling force".
I hoped this was satisfying!
A cylinder that is 4 high and 12 across. what's the volume?
Help please
Answers
Answer:
The correct ans is in the picture
Step-by-step explanation:
Don't worry it is 100% correct!
r = 12 / 2 = 6
h = 4
V = pi x 6 x 6 x 4 = 452.389 cubic units
 15 miles in 10 hours would be how many miles per hour?
Answers
Answer:
1.5 miles per hour
Step-by-step explanation:
Take the number of miles and divide by the number of hours
15 miles / 10 hours
1.5 miles per hour
If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?
Answers
Answer:
Step-by-step explanation:
The standard form of a quadratic is
[tex]y=a(x-h)^2+k[/tex] where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
[tex]y=(x-(+10))^2[/tex] and simplified:
[tex]y=(x-10)^2[/tex] That is the parent graph shifted 10 units to the right.
1850=12
2918=20
5044 = ?
7573=56
Answers
Answer:
1623 jajaggkcgaiahvs Kah kaye kaha
What is EG?
EG = ____
Answers
Answer:
EG = 26
Step-by-step explanation:
We use the angle-bisector theorem here
The theorem is that given an angle that is bisected in a triangle, it splits the opposite side into two parts, with the ratio of the sides facing the angle and the adjoining leg equal for the two bisections
So, we have this as;
EF/ED = GD/FG
x/24 = x+10/54
54(x) = 24)x + 10)
54x = 24x + 240
54x-24x = 240
30x = 240
x = 240/30
x = 8
But;
EG = EF + FG
EG = x + x + 10 = 2x + 10
EG = 2(8) + 10
EG = 16 + 10 = 26
what is the equation of the following graph in vertex form?
Answers
Answer:
y = (x + 1)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 1, 0) , then
y = a(x + 1)² + 0
To find a substitute (0, 1), the y- intercept into the equation
1 = a(0 + 1)² = a
y = (x + 1)²
Without multiplying, determine the sign of the product (−247,634) × (183,758).
Answers
the sign will be a negative sign -
Answer:
IN a series of multiplications (or divisions)
add up the negative signs ... if they are even the answer is positive "+"
the there is an odd number the answer will be negative "-"
Step-by-step explanation:
Math help please show work thanks
Answers
Answer:
Total material needed = 9.5 square feet
Step-by-step explanation:
Dimensions of I = 2. 5feet x 1 feet
Area = 2.5 square feet
Dimensions of S :
Top part = 1 feet x 1 feet
Area of top part = 1 square feet
Bottom part = 1 feet x 2.5 feet
Area of bottom part = 2.5 square feet
Total Area of S = 2.5 + 1 = 3.5 square feet
Total material needed = Area of I + Area of S + Area of S
= 2.5 + 3.5 + 3.5
= 9.5 square feet.
I need help ASAP. I will give brainliest.
Answers
Answer:
see below
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = x-7
m = 1
b = -7
y = 4
m=0
b = 4
y = -2x+3
m = -2
b = 3
PLEASE HELP THANK YOU EVERYBODY
Answers
Answer:
150 in^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
L = 9
W = 4
H = 3
Formula
SA = 2*L*w + 2*L*H + 2 * H * W
Solution
SA = 2 * 9*4 + 2*9*3 + 2*3 * 4
SA = 72 + 54 + 24
SA = 150 in^2
Solve it !!
[tex]78 + 2 \div 2[/tex]
Answers
Answer:
79
Step-by-step explanation:
78 +2 ÷ 2
PEMDAS says divide first
78 + (1)
Then add
79
2/2=1
78+1=79
A large water bottle holds 25 litres of water correct to the nearest liter. A drinking glass holds 0.3 litres correct to the nearest 0.1 litres Calculate the lower bound for the number of glasses of water which can be filled from the bottle
Answers
This question is solved using rounding and proportion concepts.
Using this, we find that: the lower bound for the number of glasses of water which can be filled from the bottle is 100.A drinking glass holds 0.3 litres correct to the nearest 0.1 litres
This means that, with 2 decimal places, the drinking glass holds between 0.25 litres and 0.34 litres.
-------------------------------------
Calculate the lower bound for the number of glasses of water which can be filled from the bottle
For the lower bound, we consider that 1 glass holds 0.25 litres, and want to find how many glasses are needed for 25 litres. So
1 glass - 0.25 litres
x glasses - 25 litres
Applying cross multiplication:
[tex]0.25x = 25[/tex]
[tex]x = \frac{25}{0.25} = 100[/tex]
Thus, the lower bound for the number of glasses of water which can be filled from the bottle is 100.
A similar question is found at https://brainly.com/question/21369672
what is the degree of the polynomial. 5x²+8x²- 4x⁴+x. (a) 2 (b) 1 (c) 4 (d) 8
Answers
Answer:
4
Step-by-step explanation:
5x²+8x²- 4x⁴+x
The degree is the highest power
The highest power is 4
The degree is 4
cos (2a) [tg (2a) - tg (a)] = tg (a)
¿Alguien sabe?
Answers
Answer: I don’t know the answer but you the ap.p called math. way for any type of math it gives u all the answers
Step-by-step explanation:
I hope I helped
PLEASE HELP!! :0
q- what triangles are similar?
Answers
Answer:
A,B,C
Step-by-step explanation:
All right triangles,
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answers
Answer:
77
Step-by-step explanation:
i took the test
Answer:
c
Step-by-step explanation:
Find the value of x
Answers
Answer:
x=1
Step-by-step explanation:
7x-1+2x-1=7
7x+2x-1-1=7
9x-2=7
9x=7+2
9x=9
9x/9=9/9
x=1
Does anyone know the answer to this ?!? ( links and answers that have nothing to do with the question will be reported.)
Answers
Answer:
the triangle was 2x scale (*2)
it was reflected across y=0
and translated x +2
Step-by-step explanation:
Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3
Answers
Answer:
Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9
а
The radius
of
a circle is 10cm and
the length of a chord is 12 cm.
Then , calculate the distance between
the chord and centre of
a circle
Answers
Step-by-step explanation:
by referring to the diagram,
a = 8
plsssss help meeee ....i need the answerrrr
Answers
Answer:
20
Step-by-step explanation:
[tex] = \dfrac{ \sqrt[3]{125} \times \sqrt[3]{64} }{ \sqrt[3]{125} - \sqrt[3]{64} } [/tex]
[tex] = \dfrac{5 \times 4}{5 - 4} [/tex]
[tex] = \dfrac{20}{1} [/tex]
[tex] = 20[/tex]
There are 1,765,000 five thousand dollar bills in circulation and 3,460,000 ten thousand dollar bills in circulation. Choose one bill at random (wouldn't that be nice!). What is the probability that it is a ten thousand dollar bill?
Answers
Answer: 0.662201
Step-by-step explanation:
Number of five thousand dollar bills in circulation = 1,765,000
Number of ten thousand dollar bills in circulation = 3,460,000
Total bills in circulation = 1,765,000 + 3,460,000 = 5225000
If one one bill is chosen at random, the probability that it is a ten thousand dollar bill will be:
= Number of ten thousand dollar bills in circulation / Total bills in circulation
= 3,460,000 / 5225000
= 0.662201
The probability that it is a ten thousand dollar bill is 0.662201.