Answer: [tex]\sqrt{2}[/tex]
======================================================
Explanation:
Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,
[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]
Now rationalize the denominator
[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]
Which is the exact value of [tex]\sec(45^{\circ})[/tex]
The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.
what is the total cost
Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with
cost = $1170.82
6 + 9 - 5 x 10 ÷ 5 + 1/2 of (90 - 25 + 5) =
Answer:
40
Step-by-step explanation:
B I D M A S
(90 - 25 + 5) = 70
1/2 x 70 = 35
10 ÷ 5 = 2
5 x 2 =10
6 + 9 = 15
15 - 10 = 2
.... cba
Three dressers are placed side by side. One dresser is 5 feet 5 inches wide, another is 5 feet 10 inches wide, and the third is 3 feet 11 inches wide. How wide are they combined?
Answer:
15 feets 2 inches
Step-by-step explanation:
Given the widths :
1st dresser = 5 feets 5 inches
2nd dresser = 5 feets 10 inches
3rd dresser = 3 feets 11 inches
Their combined width is :
5ft + 5ft + 3 ft + 5in + 10in + 11in
13 feets 26 inches
Recall :
1 foot = 12 inches
26 inches = 26/12 feets = 2 feets 2 inches
Hence,
13 feets + 2feets 2 inches
Combined width = 15 feets 2 inches
16 - 2r = 3r + 6r + 1
what is r?
[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]
[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]
[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]
[tex]\\ \sf\longmapsto 11r=15[/tex]
[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]
Answer: r = 15/11
Step-by-step explanation:
Given
16 - 2r = 3r + 6r + 1
Combine like terms
16 - 2r = 9r + 1
Add 2r on both sides
16 - 2r + 2r = 9r + 1 + 2r
16 = 11r + 1
Subtract 1 on both sides
16 - 1 = 11r + 1 - 1
15 = 11r
Divide 11 on both sides
15 / 11 = 11r / 11
[tex]\boxed{r=\frac{15}{11} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I need help please and thank you!
Answer:
v is 198 m/s
Step-by-step explanation:
[tex]v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} [/tex]
Find the value of x for which ABCD must be a parallelogram
a. 0
b. 25
c. 4
d. 7
Answer:
d. 7
Step-by-step explanation:
A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.
Thus:
3x - 17 = 25 - 3x
Add 3x from each side
3x - 17 + 3x = 25 - 3x + 3x
6x - 17 = 25
Add 17 to both sides
6x - 17 + 17 = 25 + 17
6x = 42
Divide both sides by 6
6x/6 = 42/6
x = 7
solve for m - hp = d for p
please actually help this is my first assignment of the year and can’t fail
Please Help!!!!!!!
Janet is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the
probability that Janet will get a blue or yellow marble on the first draw and a pink on the second draw?
(3 green, 4 yellow, 5 blue, 8 pink)
7/50
9/50
17/40
(Answer:
P(Bl or Yl) = 45%
(Pk on 2nd draw) = 18%
Step-by-step explanation:
There are a total of 20 marbles (3 + 4 + 5 + 8) in the bag. Since each marble is replaced once drawn, there is no change in the total count from one draw to another (unconditional probability).
So
P(Bl or Yl) = (5 + 4)/20 = 9/20 = .45 = 45%
Then
P(Pk on 2nd draw) = P(1st draw) * P(2nd draw)
= 9/20 * 8/20 = 72/400 = 9/50 = .18 = 18%
I need the answer to his question soon, please help!
Answer:
b=x+1
Step-by-step explanation:
The equation is:
[tex]2x^2}+x-1=\frac{1}{2} b(4x-2)[/tex]
Isolate b by subtracting and dividing.
You end up with b= x+1
[tex]\sqrt{x} +\sqrt{5} =\sqrt{12}[/tex]
If p (x) = x4 + 2x2 + 1 and q (x) = x4 – 2x2 + 1, find p (x) -q (x).
Answer:
the answer is 4x2
Step-by-step explanation:
p(X)-q(X) = x4 + 2x2 + 1 - ( x4 - 2x2 + 1 )
p(X)-q(X) = x4 + 2x2 + 1 - x4 + 2x2 - 1 )
p(X)-q(X) = 2x2 + 2x2
p(X)-q(X) = 4x2
Answer:
p(x) - q(x) = 4x²
Step-by-step explanation:
p(x) - q(x)
= [tex]x^{4}[/tex] + 2x² + 1 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute parenthesis by - 1
= [tex]x^{4}[/tex] + 2x² + 1 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 4x²
Can someone please help me on these 4 questions PLEASE HELP ME!!
Answer:4 ans x is -32/10
7 ans b is 6
10 ans x is 25/7
13 ans x is 9/2
Step-by-step explanation:
please mark this answer as brainlist
Solve for x.
3x + 2
2x + 6
x = [?]
Answer:
4
Step-by-step explanation:
Im assuming you mean the first and second equation equal each other:
3x+2=2x+6
x=4
please help, i will give brainliest!
Answer:
hope that helps i don't know it either tho
If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =
Using the intersecting chord theorem:
a x b = c x d
x+21 * 4 = x+3 * 10
Simplify:
4x+84 = 10x+30
Subtract 30 from both sides:
4x + 54 = 10x
Subtract 4x from both sides:
54 = 6x
Divide both sides by 6:
x = 9
Answer:
x=9
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
ab = cd
(x+21) *4 = (x+3)*10
Distribute
4x+84=10x+30
Subtract 4x from each side
84 = 10x-4x+30
84 = 6x+30
Subtract 30 from each side
54 = 6x
Divide by 6
54/6 = 6x/6
9=x
need some help with this
Answer:
1/3
Step-by-step explanation:
Slope is rise over run
your rise is 1 (because you only go up one block each time)
your run is 3 ( because you go right three times)
so 1/3
A ladder 20m long rests against a vertical wall as that the foot of the ladder is 9m from the wall. Find, correct to the nearest degree, the angle that the ladder makes with the wall.
Answer:
If the ladder is 9 m from the wall
cos theta = 9 / 20 = .45 and theta = 63.3 angle made with floor
So the angle made with the wall is 90 - 63.3 = 26.7
2/4.7+2/7.10+2/10.13+2/13.16+.....+2/49.52
tính giá trị biểu thức
It looks like you're trying to evaluate the sum,
[tex]\displaystyle \frac2{4\times7} + \frac2{7\times10} + \frac2{10\times13}+\cdots+\frac2{49\times52}[/tex]
which can be written as
[tex]\displaystyle \sum_{n=1}^{16} \frac2{(3n+1)(3n+4)}[/tex]
Split up the summand into partial fractions:
[tex]\displaystyle \frac2{(3n+1)(3n+4)} = \frac a{3n+1} + \frac b{3n+4} \\\\ \implies 2 = a(3n+4)+b(3n+1) \\\\ \implies 2 = (3a+3b)n+4a+b[/tex]
so that
3a + 3b = 0, or a = -b
4a + b = 2
Solve for a and b :
4a + (-a) = 3a = 2 ==> a = 2/3 ==> b = -2/3
So the sum is
[tex]\displaystyle \frac23 \sum_{n=1}^{16} \left(\frac1{3n+1} - \frac1{3n+4}\right)[/tex]
Write out the first terms and observe that several terms cancel with each other:
2/3 (1/4 - 1/7)
+ 2/3 (1/7 - 1/10)
+ 2/3 (1/10 - 1/13)
+ …
+ 2/3 (1/43 - 1/46)
+ 2/3 (1/46 - 1/49)
+ 2/3 (1/49 - 1/52)
So the sum collapses and simplifies to
[tex]\displaystyle \sum_{n=1}^{16} \frac2{(3n+1)(3n+4)} = \frac23 \left(\frac14 - \frac1{52}\right) = \boxed{\frac2{13}}[/tex]
(24 ÷ 6 - 2 + 5 × 3 × (-1 - 3) ÷ 4)^2 How do you solve this? Help me I need this ASAP!!
Answer:
169
Step-by-step explanation:
PEMDAS
Parenthesis first
Add -1 and -3 which is -4
Divide 24 by 6 which is 4
(4-2+5*3*-4÷4)^2
(4-2-15)^2
(2-15)^2
(-13)^2
Which is 169
If lines AB and CD are paralell, which of the following statements is true? Check All That Apply
Answer:
D and E is the answer..
Step-by-step explanation:
nothing to explain .. D has the symbol of parallel.. and all parallel lines are coplaner
The correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.
What are parallel lines?The lines which do not intersect each other at any point they can only intersect at infinity are called parallel lines. All the parallel lines are coplanar to each other.
From the above explanation, the parallel lines are represented as AB || CD and also coplanar to each other.
Therefore the correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.
To know more about parallel lines follow
https://brainly.com/question/16742265
#SPJ2
-3x8y=20
What’s the solution?
Answer:
y=-5/6
Step-by-step explanation:
-24y=20
y=-5/6
alternate:
-0.83
Find the value of x in the triangle shown below.(not a test just need help with khan academy)
Using angle sum property
[tex]\\ \sf\longmapsto x+44+29=180[/tex]
[tex]\\ \sf\longmapsto x+63=180[/tex]
[tex]\\ \sf\longmapsto x=180-63[/tex]
[tex]\\ \sf\longmapsto x=117°[/tex]
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 44 \degree \: + \: 29 \degree \: = \: 180 \degree[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 73 \degree \: = \: 180 \degree[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 180 \degree \: - \: 73 \degree \:[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 107 \degree[/tex]
⇛ Value of x is 107°Convert the 7pi/5 to a degree measure
A=252
B=504
C=792
D=75
Answer:
252
Step-by-step explanation:
The conversion factor is
180/pi
7pi/5 * 180/pi = 7 *180/5 = 252 degrees
rationalise the denominator of 2sq3+3sq2/4sq3+sq2
Answer:
[tex]\frac{9+5\sqrt6}{23}[/tex]
Step-by-step explanation:
We can rewrite the fraction as
[tex]\frac{2\sqrt{3}+3\sqrt{2}}{4\sqrt{3}+\sqrt{2}}[/tex]
In order to rationalize the denominator of such a complex fraction, we must multiply the fraction by the conjugate of the denominator. In this case, the conjugate of the denominator would be [tex]4\sqrt{3}-\sqrt{2}[/tex]. Multiplying both sides of the fraction by the conjugate of the denominator would result in the fraction:
[tex]\frac{9+5\sqrt6}{23}[/tex]
Members of a band class were arguing over which
instruments are played by the best academic students. A
survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA)
between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of
2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9,
and the other 5 had a GPA of 4.0.
h
The median GPA of the percussionists is 2.8
This question appears incomplete.
Here is the complete question :
Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.
For percussionists, the median GPA is _____.
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Median is a measure of central tendency
Other measures of central tendency include mean and mode.
The GPA of the 3 percussionists are 2.4, 2.8 and 3.2
This data has already been arranged in ascending order.
The number that is in the middle is 2.8
Conversely, if the GPA is arranged in descending order, it is 3.2, 2.8 and 2.4
The number that is in the middle is 2.8
For more information on how to calculate median, check : https://brainly.com/question/12528427?referrer=searchResults
if (x) and 1(x) are inverse functions of each other and S(x) = 2x+5, what is (8)?
이스 NW
8
023
Answer:
B
Step-by-step explanation:
f(x) = 2x+5
f^(-1) (x) = (x-5)/2
f^(-1) (8) = 3/2
if a person invests $290 at 6% percent annual interest, find the approximate value of the investment at the end of 15 years
$695.00 would be your answer :)
What is the answer to 1-x=16-4x and how did u get it?
Answer:
x=5
Step-by-step explanation:
1 - x = 16 - 4x
Rearrange :
-x +4x = 16 - 1
3x = 15
x = 5.
Hence, there is one solution : {5}
Answer:
x=5
Step-by-step explanation:
1-x=16-4x
-1 -1
-x=15-4x
+4x. +4x
3x=15
/3. /3
x=5
A regular polygon has exterior angles of 60°
What is the sum of the polygon’s interior angles?
Answer:
720°
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 60 to find number of sides (n)
n = 360° ÷ 60° = 6
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
The sum of the exterior angles of a regular polygon is 360º
Each exterior angle of a regular polygon is 60º/n
360º/n=60º
360/60=n
6=n
A polygon with 6 sides is a hexagon.
Use the formula (n-2)×180
(6-2)*180=4*180=720º
another solution...
you have 6 interior angles (hexagon)
if an exterior angle is 60º, the corresponding interior angle is 180-60=120º
you have 6 of these 120º angles
6*120=720º
pllllllzzzzzzzzzz helllllllllllllppppppppppppp
Answer:
145 degrees
Step-by-step explanation:
sum of a triangle is 180 and when the angle next to 145 degree one is supplementary to 145 degree the other two angles must be 145
