Answers
Answer:
D. [tex] x = \frac{5*\sqrt{2}}{2} [/tex]
Step-by-step explanation:
Reference angle = 45°
Length of Opposite side = x
Hypotenuse length = 5
Applying trigonometric ratio, we have:
[tex] sin(45) = \frac{x}{5} [/tex]
Multiply both sides by 5
[tex] 5*sin(45) = \frac{x}{5}*5 [/tex]
[tex] 5*sin(45) = x [/tex]
[tex] 5*\frac{1}{\sqrt{2}} = x [/tex] (sin 45 = 1/√2)
[tex] \frac{5}{\sqrt{2}} = x [/tex]
Rationalize
[tex] \frac{5*\sqrt{2}}{\sqrt{2}*\sqrt{2}} = x [/tex]
[tex] x = \frac{5*\sqrt{2}}{2} [/tex]
Related Questions
In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 646 grams of copper. How many grams of zinc does it contain?
Answers
What is 3/11 of 22/39?
Answers
Answer:
0.1538
Step-by-step explanation:
first convert 3/11 into a percentage
3÷11=0.272727272727273
0.272727272727273 × 100
27.272727272727/100
27.272727272727%
≈27.27%
27.27% of 22/39
change 22/39 into a decimal
22÷39=0.5641025641》0.564
27.27% of 0.564
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 27.27% * 0.564
Converting percent to decimal:
p = 27.27%/100 = 0.2727
Y = 0.2727 * 0.564
Y = 0.1538
Answer:
2/13Step-by-step explanation:
3/11 of 22/39 is:
22/39 * 3/11 = 22/11 * 3/39 =2*1/13 =2/13(5x - 2y + 1) - (7x - 3y - 4)
Answers
Answer:
-2x - (-1y) - (-3)
Step-by-step explanation:
Answer:
-2x + y + 5
Step-by-step explanation:
(5x - 2y + 1) - (7x - 3y - 4)
1) Distribute the negative sign and remove all parenthesis
5x - 2y + 1 - 7x + 3y + 4
2) Combine all like terms
-2x + y + 5
Isabel gets 50 dollars a week as an allowance. If Isabel goes to the mall and spends $12 on shorts and $8 on a t-shirt, what percent of his allowance did he spend?
Answers
Dante drove 594 miles in 9 hours. If he traveled at a steady speed, how far did he drive per hour?
Answers
Explanation: If Dante were to drive 594 miles at a steady speed in 9 hours we need to divide to find how many miles Dante drives in one hour. 594 / 9 = 66. Dante drove 66 miles per hour
Which expression has a value of 9 when x = 4?
Answers
Answer:
right top one
Step-by-step explanation:
3(8-5)=24-15=9
What is the y-intercept of y = –2:+ 6? Choose 1 answer: (0, -2) (0,6) (-2,0) (6,0
Answers
Answer:
A circle has the equation x2+ y2 + 2x - 2y - 34 = 0. Graph the circle using the center (h, k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer for each coordinate, using radicals as needed.) There are no intercepts.
Show transcribed image text A circle has the equation x2+ y2 + 2x - 2y - 34 = 0. Graph the circle using the center (h, k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer for each coordinate, using radicals as needed.) There are no intercepts.
Step-by-step explanation:
Answer:
[tex]y = - 2x + 6 \\ at \: y - intercept, \: x = 0 \\ substitute \: for \: x \: in \: th e \: equation \\ y = - 2(0) + 6 \\ y = 6 \\ y - intercept = (0,6)[/tex]
find the value of x in the figure
Answers
Answer:
Option (4)
Step-by-step explanation:
By applying triangle sum theorem in ΔABC,
m∠A + m∠B + m∠C = 180°
80° + 40° + m∠C = 180°
m∠C = 180° - 120°
m∠C = 60°
Since, ∠ACB ≅ ∠DCE [Vertically opposite angles]
m∠DCE = m∠ACB = 60°
Now by applying triangle sum theorem in ΔCDE,
m∠DCE + m∠CED + m∠CED = 180°
60° + 70° + x° = 180°
x = 180 - 130
x = 50°
Therefore, Option (4) will be the answer.
Donald bought a bicycle that cost $50.00 when it was new. If he eventually sold it for
16% of the original cost, how much was it sold for
Answers
Answer:
$8
Step-by-step explanation:
ngl but thats cheap for a $50 bike. is the bike torn in half or somthing
Which ordered pair is a solution to the inequality?
Answers
Answer:
C.
Step-by-step explanation:
The equation would be -3 is less than 3(1)+1, which is 4. And -3 is less than 4.
(hope this helps!)
Which graph represents an exponential function?
Answers
Answer:
A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.
your heart pumps about 60ml of blood per minute. about how much blood will it pump in a week
Answers
10080 ml
[tex]\\[/tex]
Answer:
604800ml of blood is pumped every week
Step-by-step explanation:
60×60=3600 (ml per hour)
3600×24=86400 (ml per day)
86400×7=604800 (ml per week)
2 of 7
© Express in the form n :1
25:5
What is the answer?
Answers
Answer:
5:1
Step-by-step explanation:
n:1
25: 5
to get to five you multiple 1 by 5. You have to reverse the equation to n:1, so 25 divided by 5 is 5. So you'd answer would be 5:1 in the form of n:1.
To solve the trigonometric inequality 2cos(x)+sin(x)-3/sin(x)<=3cot(x)-4csc(x) over the interval 0<=x<=2pi radians, Gabby performed the following steps, first simplifying the inequality and then setting both sides equal to y and graphing the equations.
In which step did she first make an error, and what was the error?
ANSWER: C
Answers
Answer:
C)
Step-by-step explanation:
right on edge (based on the person who asked the question)
a math student is standing 40 feet from the base of a water tower. the angle of elevation from her horizontal line of sight is 72 degrees. If her "eye height" is 5 feet, how tall is the water tower? Round to the nearest foot.
Answers
9514 1404 393
Answer:
128 ft
Step-by-step explanation:
The height of the tower above eye-height is related to the angle by ...
Tan = Opposite/Adjacent
tan(72°) = (tower height above eye height)/(40 ft)
tower height above eye height = (40 ft)×tan(72°) = 123 ft
Since eye height is 5 ft, the total height of the tower from the ground is ...
tower height = eye height + height above eye height
tower height = 5 ft + 123 ft
tower height = 128 ft
What is 37-11+23? Have a great night guys!!!! #FREEPOINTS
Answers
Answer:
49 thanks have a awesome night/day
Answer:
37-11+23= 49
Have a good day
PLEASE ANSWER ASASP IM DESPRATE IM BEGGING YOU I WILL MARK BRAINLEST!!!!!!!!!!!!!
The equation c = 2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning.
Answers
Answer:
No. A ticket can't be split into 1/2 ,Right?
The points (1, 4) and (0, 2) fall on a particular line. What is its equation in slope-intercept
form?
Answers
that is your slope intercept equations
Figure ABCD is transformed to figure A′B′C′D′:
a. Angle D prime A prime B prime.
b. Angle A prime B prime C prime.
c. Angle B prime C prime D prime.
d. Angle C prime D prime A prime.
Answers
Answer:
D. <C'D'A'
Step-by-step explanation:
Given that figure ABCD is transformed to figure A′B′C′D′, therefore the angles of ABCD would be congruent to the corresponding angles of A′B′C′D′.
<CDA corresponds to <C'D'A'. Therefore:
<CDA = <C'D'A'
One solution to a quadratic function, h, is given.
-4 + 7i
Which statement is true?
A. Function h has no other solutions.
B. The other solution to function h is -4 − 7i.
C. The other solution to function h is 4 − 7i.
D. The other solution to function h is 4 + 7i.
The answer isn't A. Function h has no other solutions.
I hope this helps.
Answers
Answer:
B. The other solution to function [tex]h[/tex] is [tex]-4-i\,7[/tex].
Step-by-step explanation:
From Algebra, we remember that quadratic functions of the form [tex]a\cdot x^{2}+b\cdot x + c[/tex] has solutions of the form:
[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex], where both are complex if and only if [tex]\sqrt{b^{2}-4\cdot a \cdot c}< 0[/tex].
Hence, if one solution of the quadratic function is [tex]-4+i\,7[/tex], then the other solution is [tex]-4-i\,7[/tex]. The correct answer is B.
Answer: it’s B
Step-by-step explanation:
I got it right
Area of Parallelogram
Answers
Answer:
area of a parallelogram = base * height
= 21 * 9
= 189 cm^2
hope it helps you
HURRRY PLEASEE.........A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)? |10| + |–4| |10| + |4| |–6| + |4| |10| + |–6|A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)? |10| + |–4| |10| + |4| |–6| + |4| |10| + |–6|
Answers
Step-by-step explanation:
D
i got it right on the quiz
love to help
Answer:the answer is D!
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were
12,454 total votes, how many no votes were there?
Answers
Answer:
Step-by-step explanation:
4,790
Find the solutions of the quadratic equation -9c² +2 +3 = 0.
Answers
Given that,
An equation : -9c² +2c +3 = 0
To find,
Find the value of x.
Solution,
We have, -9c² +2c +3 = 0
We can solve it using the formula as follows :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here, a = -9, b = 2 and c =3
Put the values,
[tex]c=\dfrac{-2\pm \sqrt{(2)^2-4(-9)(3)}}{2(-9)}\\\\c=\dfrac{-2+\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}, \dfrac{-2-\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}\\\\c=-0.47, 0.69[/tex]
So, the solution are -0.47 and 0.69.
at school, the maximum number of students that can be in a class room is 22. if there are 25 students signed up for the geometry class, how many more students can join the class?
Answers
Answer:
At school, the maximum number of students that can be in a class room is 22. There are 25 students signed up for the geometry class.
Therefore, there are (25-22)=3 extra students.
Hence, no more students can join the class.
Write an equation of the line that
passes through (-1,2) with a slope of 4
Answers
Step-by-step explanation:
Hey there!
Given;
The points is; (-1 , 2) and slope is 4.
Note: Use one-point formula.
[tex](y - y1) = m(x - x1)[/tex]
~ Put all values.
[tex](y - 2) = 4(x + 1)[/tex]
~ Simplify it.
[tex](y - 2) = 4x + 4[/tex]
[tex]4x - y + 6 = 0[/tex]
Therefore, the required equation is; 4x-y+6=0.
Hope it helps...helpppppppppppppppppppppp
Answers
Answer:
309 inches squared
Step-by-step explanation:
bottom face: 40
left face: 96
right face: 104
front face: 30
behind face: 30
add them up
Helpppp fue on Monday major grade
Answers
Answer:
38 °
Step-by-step explanation:
a triangles total side add up to 180°
so, we subtract 180 - 106 = 74
then we subtract 74-36 = 38°
?= 38°
Rewrite the expression using only positive integer exponents.
Answers
What is factoring?
Show us an example of factoring when a=1
Show a second example when a does not equal 1.
Answers
Answer:
Factorizing is the part of math where you find out the equations.
Step-by-step explanation:
Answer:
Factoring is the process of trying to find a numbers factor.
Step-by-step explanation:
Ex: 6 is 2 × 3