Answers
Answer:
[tex] \frac{\pi}{4} = 45° \\ \\ \frac{\pi}{6} = 30°[/tex]
[tex]( \cos( \frac{\pi}{4} ) + \sin( \frac{\pi}{6} ) ) ^{2} \\ \\ \\ {( \cos(45°) + \sin(30°) ) }^{2} \\ \\ \\ ( \frac{1}{ \sqrt{2} } + \frac{1}{2} ) ^{2} \\ \\ \\ (( \frac{1}{ \sqrt{2}} \times \frac{ \sqrt{2} }{ \sqrt{2}} ) + \frac{1}{2} )^{2} \\ \\ ( \frac{ \sqrt{2} }{2} + \frac{1}{2} )^{2} \\ \\ {( \frac{ \sqrt{2} + 1}{2} })^{2} \\ \\ \frac{( \sqrt{2} + 1)( \sqrt{2} + 1)}{ {2}^{2} } \\ \\ \\ \frac{2 + \sqrt{2} + \sqrt{2} + 1}{4} \\ \\ \\ = \frac{3 + 2 \sqrt{2} }{4} \\ \\ \\ = \frac{3 + 2(1.414)}{4} \\ \\ = \frac{3 + 2.828}{4} \\ \\ = \frac{5.828}{4} \\ \\ = 1.457[/tex]
I hope I helped you^_^
Related Questions
0.234 is bigger or less than 0.76
Answers
Answer: 0.234 is less than 0.76
Step-by-step explanation:
0.234 can be rounded out to 0
0.76 can be rounded out to 1
0.234 is smaller than 0.76
A machine can blow up 20 balloons in 4 min.
How many balloons can it blow up in 60 min?
Answers
Answer:
120
Step-by-step explanation:
all you have to do is multiply 20*60
Answer:
The machine can blow up 300 balloons in 60 min.
Step-by-step explanation:
60 ÷ 4 = 15. 15 x 20 = 300. We know it takes 4 minutes to blow up 20 balloons. 4 minutes is only 1/15 of 60, so that means you have to blow up 20 balloons 15 times, which will take 60 minutes, and in that 60 minutes, you blew up 300 balloons.
Hope it helps!
Hello everyone, please help me out, What type of Triangle is this triangle?
Answers
Answer:
I believe this is an acute scalene triangle
Step-by-step explanation:
Hope this helps! :)
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Solve the word problems.
Show your work clearly.
1. Ryan started watching a movie at 20 25. The movie lasted 2 hours 25 minutes. What time did the movie end?
____h ___min
⬇️
20:25 21:25 22:25 ?
______ hours after 20:25 is _______ minutes after ______ is.
The movie ended at _____
Answers
2 hours after 20 25 is 22 25
25 minutes after 22 25 is 22 50
The movie ended at 22 50
Help Please One Mixed Fraction
1/2 x 1 4/9
Answers
Answer:
13/2
Step-by-step explanation:
Answer:
13/18
Step-by-step explanation:
1/2 ×13/9
1×13 =13
2×9= 18
The sum of three numbers is 88. The first number is 8 more than the second. The third number is 3 times the second. What are the numbers?
Answers
Answer:
The numbers are 24, 16 and 48
Step-by-step explanation:
For this equation you need to use all the information you have to add in 3 variables, use the information you have to connect them, so you only use one number. You’ll have the second number (x), the first number (x+8) and the third number (3x) now we use all of that to make an equation.
88=x+(x+8)+3x
Now you simplify the equation,
88=5x+8
Now get the x and it’s coefficient alone on one side
80=5x
Now divide both sides so the x is alone
x=16
Since the second number was x you know the second number
the first number is x+8 since x is 16 the first number is 24
The third number is 3 * x so the third number is 48.
So the numbers are 24, 16 and 48
Two rules for creating a pattern are given below.
Rule 1: Multiply x by 5 to get y.
Rule 2: Add 12 to x to get y.
Which ordered pair, (x,y), works for both rules?
Choose 1 answer:
(Choice A)
(5,25)
(Choice B)
(3,15)
(Choice C)
(0,12)
Answers
First make an equation for both rules.
Rule 1: y=5x
Rule 2: y= x+12
Then plug in each ordered pot to find which one works
Choice A (5,25)
Rule 1: 25=5(5)
25=25
Rule 2: 25=5+12
25=17
Choice a works for rule 1 but not rule 2 therefore it does not work
Choice b (3,15)
Rule1: 15=3(5)
15=15
Rule 2: 15=12+3
15=15
Choice be works works for both equations therefore it is the answer
Choice c (0,12)
Rule 1: 12=5(0)
12=0
Rule 2: 12=12+0
12=12
Choice c works for rule 2 but not 1 do it cannot be the answer.
Complete the truth table for the given statement by filling in the required columns.
Answers
Answer:
-P is true.
Step-by-step explanation:
q v-p is false.
If the measure of angle ACB is 15 degrees, what is the measure of arc AB?
Answers
A wheel rotates 15 times each minutes. How many degrees will it rotate in 1 second of time?
Answers
Answer:
In 1 second it Rotates 15× 360 / 60
Step-by-step explanation:
Wheel Rotates 15 times in 60 seconds
This implies that the wheel completes
15 × 360 degrees in 60 seconds
therefore,
In 1 second it Rotates 15× 360 / 60
=> 15×6 = 90 °
in 12 seconds , 12×90 = 1080°.
Don’t understand this
Answers
[tex]3.32×10^4[/tex]
Answer:
please mark me as brainlest
Step-by-step explanation:
3.32×10^4
what does variable represent
Answers
Answer:
A variable represents an unknown, numerical value that can vary, taking on different values.
Step-by-step explanation:
In algebra/math, a variable stands for an unknown quantity that can vary, taking on different values. It is often represented by the letter x, but it can be different kinds of symbols such as a, b, z, etc.
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
Step-by-step explanation:
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Find the magnitude of the vector (4, - 4).
Write your answer in simplified radical form.
Answers
Answer:
the magnitude of the vector is given by the √(px^2+py^2) so the value is 5.65
The magnitude of the given vector (4, -4) in the simplified form will be 5.65.
What is a Vector?A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity.
A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.
As per the given data in the question,
4² + (-4)² = 16 + 16
= 32
Magnitude = √32
Magnitude = 5.65
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A pair of Jeans cost $88 A jeans jackets cost twice as much What is the cost of a Jean jacket and 4 pairs of jeans
Answers
Answer:
$528
Step-by-step explanation:
$88 x 4 to find the cost of total amount of jeans
$88 x 2 for total cost of jean jacket
Add both together to find total amount
You already found what jeans cost. Now all you have to find is the cost of the jean jacket
88*2 = 176.
Now you have to multiply 4 onto the 88. Your answer is 352.
Find intercepts of: 3x-3y+9=0
X-intercept as a ordered pair
Y-intercept as a ordered pairr
Answers
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.
To solve for the y-intercept, set x = 0:
3(0) - 3y + 9 = 0
3(0) - 3y + 9 = 0
Subtract 9 from both sides:
- 3y + 9 - 9 = 0 - 9
- 3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the y-intercept is (0, 3).
The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0). It is also the value of x when y = 0.
To solve for the x-intercept, set y = 0:
3x - 3(0)+ 9 = 0
3x -0 + 9 = 0
Subtract 9 from both sides:
3x + 9 - 9 = 0 - 9
3x = -9
Divide both sides by 3 to solve for x:
3x/3 = -9/3
x = -3
Therefore, the x-intercept is (-3,0).
The correct answers are:
Y-intercept = (0, 3)
X-intercept = (-3, 0)
Which phrase best describes f(x), graphed on the coordinate plane below?
I
6
4
AN
-S
B
Х
4
-6
O f(x) is an odd function.
Of(x) is an even function.
Of(x) is both odd and even.
Answers
Answer: f(x) is an odd function
Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.
Need some help on this question please provide evidence on how you came up with the answer aswell.
Answers
Find the value of x from the adjacent figure
Answers
Answer:
straight line = 180°
2x+3x+5x= 180 combine like terms
10x=180
x=18
76,860,001 in words
Answers
76, 860, 001 in words is Seventy six million, eight hundred and sixty thousand and one.
Hope this helps; please mark BRAINLIEST.
Answer:
seventy six million eight hundred and sixty thousandth and 1
Step-by-step explanation:
Priya can bike 150 meters in 20 seconds At this rate how long would it take her to bike 3,000 meters
Answers
Answer: 400 seconds
Step-by-step explanation:
3,000/150=20
20*20=400
150:20 = 3,000:400
Triangle HEF is the image of triangle HGF after a reflection across line FH. Write a congruence statement for the 2 congruent triangles.
Answers
EH= HG
Angle G= angle E
The required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.
Given that,
Triangle HEF is the image of triangle HGF after a reflection across line FH. To determine a congruence statement for the 2 congruent triangles.
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
Here,
Since triangle HEF is the image of triangle HGF after a reflection across line FH.
Implies,
1. EF = FG
2. EH = HG
3. ∠E = ∠G
Thus. the required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.
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Hey can anyone help with this question please and thank you
Answers
Answer:
(7x-4)°= (3x+28)°. ( :. m || n, so it is alternate angle)
7x° - 4° = 3x° + 28°
4x° = 32°
x = 32/8
x = 4°
Answer:
x = 8
Step-by-step explanation:
< (7x - 4)° and < (3x + 28)° are Alternate interior angles that do not have a common vertex on alternate sides of the transversal, t. Therefore, they have the same measure.
We can establish the following equality statement to solve for x :
< (7x - 4)° = < (3x + 28)°
Subtract 3x from both sides:
7x -3x - 4 = 3x - 3x + 28
4x - 4 = 28
Add 4 to both sides:
4x - 4 + 4 = 28 + 4
4x = 32
Divide both sides by 4 to solve for x:
4x/4 = 32/4
x = 8.
To verify whether the value of x is correct, substitute x = 8 into the equality statement:
< (7x - 4)° = < (3x + 28)°
< [(7(8) - 4]° = < [3(8) + 28]°
< (56 - 4)° = < (24 + 28)°
< 52° = < 52° (True statement. Therefore, the correct answer is x = 8).
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for the function R(x)= x+4/x-3, find the values of x that make the function less than or equal to 0
Answers
Answer:
-4[tex]\leq[/tex]x<3
Step-by-step explanation:
1)Break this into 2 case, equal to 0 and and less than 0.
2)The number equals zero if its numerator is 0 which happens when x=-4.
3) A fraction is less than 0 it is negative. Negative fractions are either +/- or -/+, so we have two subcases.
3a) For +/- the numerator is positive when x>-4 and denominator is negative when x<3. Putting those two together we have -4<x<3.
3b)For -/+ the numerator is negative when x<-4 and the denominator is positive when x>3 however those two values don't overlap.
4) Putting this together we have -4[tex]\leq[/tex]x<3
I'll give brainliest if you answer this question
Answers
Answer:
y-intercept: 2
x-intercept: -7
Step-by-step explanation:
Find: 11/3 divided by 2/3
The quotient is 5 and ______
Answers
Answer:
1/2
Step-by-step explanation:
11/3 divided by 2/3
=5.5
11/3 divided by 2/3 , the quotient is 5 and remainder is 1.
The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.
Let, first number is x and second number is y
On dividing given two number
Division=x/y
[tex]x/y=\frac{11/3}{2/3}[/tex]
[tex]x/y=11/2[/tex]
It is given that the quotient for dividing two numbers is 5.
Using,
Dividend = Divisor x Quotient + Remainder
Here,
Dividend =11
Divisor =2
Quotient =5
On, substituting these values to get Remainder
11=2 x 5+ Remainder
Remainder=1
Thus, remainder is 1.
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17
48. Una excelente aproximación del número irracional V2 es la fracción
Comprueba este resultado y señala los errores absoluto y relativo.
12
Answers
Answer:
hi so im jeff wanna be my friends
Step-by-step explanation:
35 kg 22 g - 21 kg 75 g
Answers
Answer:
Loading,please wait...
Step-by-step explanation:
help me pleaseee , i need help i have to pass
Answers
First we need interest annually
P=150000R=6.6%T=1[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\longmapsto I=\dfrac{150000(6.6)}{100}[/tex]
[tex]\\ \sf\longmapsto I=1500(6.6)[/tex]
[tex]\\ \sf\longmapsto I=9900[/tex]
Now monthly interest
[tex]\\ \sf\longmapsto \dfrac{9900}{12}[/tex]
[tex]\\ \sf\longmapsto 825[/tex]
Monthly principal=150000/12=12500
Monthly payment=12500+825=13325$-4b - 5 > -25
please show work
Answers
Answer:
b<5
Step-by-step explanation:
-4b -5 > -25
add 5 to both sides
-4b>-20
divide by -4
flip the greater than sign
b<5
Find the slope of the line.
Answers
Answer:
0.75
Step-by-step explanation:
I hope this helps!
We must do rise over run to find the slope.
First find 2 points that cross the corner of the grid as shown in the attached image.
Then count how many units up and over it takes to connect the 2 points. For this example, there are 3 up and 4 across.
ΔX = 0 – -4 = 4
ΔY = 1 – -2 = 3
Slope (m) = ΔY/ΔX = 3/4 = 0.75
To solve for slope, it would be [tex]\frac{rise}{run}=\frac{3}{4} =0.75[/tex] is the slope.