Answer:
The equation is true
Step-by-step explanation:
The best way to check if this equate is true is to convert the pi in radians to degree and actually evaluate the trigonometric terms.
Mathematically we know that pi = 180 degrees
So pi/8 = 22.5
and pi/4 = 180/4 = 45
So let’s make our check.
Insert pi = 22.5 and pi = 45
So we have;
tan 22/5 = √(1-cos45)/(1+cos45)
Now let’s evaluate this using a calculator.
tan 22/5 = 0.414213562373
The term in the root; 0.171572875254
The square root of this number is 0.414213562373
This is exactly as what is obtained with the tan 22.5
So we conclude that what we have is true
g(x)=sqrt8x what is domain of g
Answer:
x > or equal to 0
Step-by-step explanation:
you're welcome
Answer:
x > or equal to 0
2x2 − 5x + 3 HELPPPPPPPP
Answer:
-x+3
Step-by-step explanation:
2x^2-5x+3 Square 2x
4x-5x+3 combine like terms
-x+3
Hope this helps
Answer:
Factoring answer: (x-1)(2x-3)
Quadratic Formula: x = 3/2, 1
Complete the square: 2(x - 5/4)^2 - 1/8
Find the x and y intercept: X - (1,0), (3/2,0) Y - (0,3)
Hope this helps :)
A linear inequality in one variable is a linear equation in one variable with the equals symbol replaced by an inequality symbol. True or False?
Answer:
True
Step-by-step explanation:
Example:
8 = 3 x - 5 is the equation in one variable
an associated linear inequality in one variable is for example:
8 < 3 x - 5
Simplify
Pls help......
Answer:
5
Step-by-step explanation:
(0.000064)^5/6 divided by (0.00032)^6/5
(0.00032)^6/5=(0.000064)
and
(0.000064)^6/5=(0.00032)
so now we have (0.00032) divided by (0.000064)
which is 5!
hope this helps!
Answer: yes
Step-by-step explanation: no
Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
The measure of angle B in Parallel lines will be 160°.
What are parallel lines?
Parallel lines are those lines that never intersect at any point and always maintain a constant distance.
We have,
Lines L and K are parallel to each other.
And,
The measure of angle A = 120°
The measure of angle C = 80°
Now,
Draw a straight line from A to B,
So, that ∠BAl = 90° and
∠ABk = 90°
We get,
ΔABC,
Now in ΔABC,
∠C = 80°
∠A = 120 - 90 = 30°
So, Using Tringle angle sum property,
80° + 30° + ∠ABC = 180°
⇒
∠ABC = 180° - 110°
∠ABC = 70°,
Now,
Adding ∠ABC and ∠ABk, to get ∠CBk,
i.e.
∠CBk = ∠ABC + ∠ABk = 70° + 90°
∠CBk = 160°
Hence we can say that the measure of angle B will be 160°.
To learn more about Parallel lines click here,
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Write each of the following expressions without using absolute value.
|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:
=======================================================
If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that
[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]
Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.
---------
So we have,
|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2
As long as a < 7, the result of |a-7| - |a-9| will always be -2.
---------
As an example, let's say a = 0
|a-7| - |a-9| = |0-7| - |0-9|
|a-7| - |a-9| = |-7| - |-9|
|a-7| - |a-9| = 7 - 9
|a-7| - |a-9| = -2
I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.
Workers in an office of 40 staff were asked their favourite type of take-away. Pizza 9 Curry 6 Fish & chips 11 Kebab 10 Other 4 How many degrees represent 1 person?
Answer:
Hey there!
In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.
Hope this helps :)
Answer:
9 degrees
Step-by-step explanation:
There are 360 degrees in a circle
There are 40 people
360 / 40 = 9
Each person gets 9 degrees
5. Use long division:
a. 483 ÷ 15
b. 907÷12
Answer:
Please look at the picture attached to see the long division.
a. 32 remainder 3
b. 75 remainder 7
Step-by-step explanation:
Answer:
Hey! The answer to your question will be below.
Step-by-step explanation:
Part A would be 32 R 3
And Part B would be 75 R 7
If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!
Hope this helps! :)
⭐️Have a wonderful day!⭐️
Leave the explanation too please.
Answer:
58 square units.
Step-by-step explanation:
From the graph attached,
Area of the figure = Area of the rectangle A + Area of two squares B and C
Area of rectangle A = Length × width
= 10 × 5
= 50 square units
Area of the square B = (Side)²
= (2)²
= 4 square units
Similarly area of the square C = 2² = 4 square units
Area of the total figure = 50 + 4 + 4
= 58 square units
Therefore, 58 square units will be the answer.
A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?
Answer:
151200 possible combinations
Step-by-step explanation:
There are 10 digits 0 - 9 ( 0,1,2,3,4,5,6,7,8,9)
There are 10 choices for the first digit
10
There are 9 choices for the second digit
9
There are 8 choices for the third digit
8
and so on since we can only use each digit once
10 *9*8 *7 *6*5
151200 possible combinations
1.5 rounded to the nearest one
Answer:
2
Step-by-step explanation:
Five and above, round up. Four and below, round down.
Answer:
2
Step-by-step explanation:
anything less then five is rounded down anything above 5 is rounded to the higher number
Jack is counting days in his calendar by shading the block that represents each passing day. According to Jack’s calendar, how much time is shaded? Assume that 7 days equals 1 whole week. Check all that apply. 3 days 1 week + 3 days 1Three-sevenths weeks 1 week and 4 days 1 week and Four-sevenths of a week
What is 5/7 subtracted by 2/5
Answer:
11/35
Step-by-step explanation:
32. Mariah bought a shirt for $28.50 and a
belt. The total cost was $45.50. Which
of the following equations can be used
to find the cost of the belt?
A 28.50 +b=45.50
B 45.50 + b = 28.50
Cb= 28.50 - 45.50
D b= 28.50 x 45.50
Answer:
The correct answer is A because subtract 28.50 from 45.50 and you get the answer of 17$ for the belt
ratio
simplify
4x:9=7:3
Answer:
4x:9=7:3 can be written as
[tex] \frac{4x}{9} = \frac{7}{3} [/tex]
Cross multiply
We have
4x(3) = 9 × 7
12x = 63
Divide both sides by 12
[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]
Hope this helps you
Answer:
[tex]\boxed{x=\frac{21}{4}}[/tex]
Step-by-step explanation:
[tex]4x:9=7:3[/tex]
Turn ratios to fractions.
[tex]\frac{4x}{9} =\frac{7}{3}[/tex]
Cross multiplication.
[tex]4x \times 3 = 9 \times 7[/tex]
Simplify.
[tex]12x=63[/tex]
Divide both sides by 12.
[tex]x=\frac{63}{12}[/tex]
[tex]x=\frac{21}{4}[/tex]
Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2
Which phrase matches the expression 2v? A. v divided by 2 B. 2 more than v C. 2 decreased by v D. twice v
Answer:
D. twice v
Step-by-step explanation:
2v
This is 2 times v or twice v
Help me pls, it’s for right now
Answer:
c
Step-by-step explanation:
A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half
Answer:
1/3!
Step-by-step explanation:
Good Luck On Whatever You Needed This For!
The probability of drawing a green marble out of the bag without looking is 1/3.
Given that, a bag contains 1 blue, 2 green, and 3 red marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes =1+2+3 =6
Number of favorable outcomes = 2
Now, probability of drawing green marble
= 2/6
= 1/3
Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.
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Find each product.
(5-x2+2)(-3)
PLEASE HELP!!! ASAP!!!
Answer:
[tex]3x^2 - 21[/tex] (did you mean for the equation to be [tex](5 - x^2 + 2) \cdot -3[/tex]?)
Step-by-step explanation:
Multiplying -3 by each term:
[tex]-3 \cdot 5 = -15[/tex]
[tex]-x^2 \cdot -3 = 3x^2[/tex]
[tex]-3 \cdot 2 = -6[/tex]
[tex]-15-6 = -21[/tex]
So the equation comes out to [tex]3x^2 - 21[/tex] .
Hope this helped!
Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
Answer:
m∠5 = 77
Step-by-step explanation:
∠3 & ∠ 5 are the co interior angles in the same side of the transversal
∠3 + ∠5 = 180 {sum of co interior angles is 180}
3x + 4 + 2x +11 = 180 {Add like terms}
5x + 15 = 180
Subtract 15 from both sides
5x + 15 - 15 = 180 -15
5x = 165
Divide both side by 5
5x/5 = 165/5
x = 33°
m∠5 = 2x + 11 = 2*33 + 11
= 66 + 11
= 77
Answer:
m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.
Angles 3 and 5 are "same side interior angles"
The equation "(3x + 4) + (2x + 11) = 180" can be used to solve for x.
m∠5 = "77°"
Step-by-step explanation:
PLEASE HURRY I NEED HELP BAD
An equation is shown below:
5(2x – 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
One solution
2
Step-by-step explanation:
5(2x-3)=5
10x-15=5
10x=5+15
10x=20
x=2
Part A: 1
Part B: It has only one solution and it is 2.
Hope this helps ;) ❤❤❤
Answer:
I believe 1 solution
Step-by-step explanation:
divide both side of equation by 5= 2x-3)=1
add 3 to each side= 2x=1+3
2x=4
x=2
if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?
Answer:
$320
Step-by-step explanation:
Let the total sum of money be $x.
Therefore,
12 1/2% of x = 40
25/2% * x = 40
0.125 * x= 40
x = 40/0.125
x = $320
Thus, total sum of money is $320.
Helpppppppppp pleasessssss
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
Find the limit (if it exists). (If an answer does not exist, enter DNE.) $ \displaystyle{\lim_{\Delta x \rightarrow 0}} \text{ } \dfrac{{\color{red}2} (x + \Delta x) - {\color{red}2} x}{\Delta x} $
Answer:
2x - 2
Step-by-step explanation:
Here is the completer question
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Solution
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Expanding the brackets, we have
lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx
Collecting like terms. we have
lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x + 2x + 3 - 3)]/Δx
Simplifying, we have
lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx
lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx
Dividing through by Δx, we have
lim as Δx → 0 [2x - 2 + (Δx)]
Inserting Δx = 0, we have
= lim as Δx → 0 (2x -2 + 0)
= 2x -2
So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2
A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing
Answer:
500cm or 5 meters
Step-by-step explanation:
The ratio of drawing and field is 1:90.
So we have to make 450 m into cm.
450 -> is 45,000
Now we can make 2 fractions,
[tex]\frac{1}{90}=\frac{x}{45000}[/tex]
Cross multiply
90*x = 90x
1*45000 = 45000
90x = 45000
Divide 90 to both sides
x = 500cm
Thus,
the drawing's field is 500cm or 5m long.
Hope this helps :)
How many solutions does this system have? x-y=-4 3x+y=8 one two an infinite number no solution
Answer:
work is shown and pictured
Please help me! I am struggling
Answer:
Oh man! I totally understand why you are struggling!
Step-by-step explanation:
You want the textbook or the cheat sheet?
Lets go with the cheat sheet.
So, notice the line segments, correct?
The way to find those is Pythagorean Theorem.
The squares of the legs of the triangle add up to the length of the hypotenuse squared. Imagine that the lengths of the sides ARE Hypotenuses. Then, form a triangle, with the legs (Other sides of the triangle except the hypotenuse) either vertically or horizontally(I explain it better below).
In other words, we need to create a right triangle with AB as the hypotenuse to use Pythagorean Theorem. How do we do that?
Count the number of units both vertically and horizontally from point A to B. Essentially, make a horizontal line segment starting at A, and stop it over B. Then, make a vertical line that goes down to B from that ending point (Remember to count the number of units along the way).
Those are your legs. Then, use those measurements in the Pythagorean Theorem:
[tex]12^{2} + 8^{2}=AB[/tex]
I'm confident you can solve this! If you know mathematics...
Then, repeat for either AD or BC.
Then, use the formula for area of the Rectangle. How do we know that it is a rectangle? Well, I'm skipping this part because it will take too long to do, but I can explain it later if you want!
Oh, well.
Hope this helps! Stay Safe!
A farmer has a rectangular piece of land measuring 840 meters by 396 meters. He divides it into equal square plots of equal size. What is the maximum area of one square plot?.......PLLLZZZ HELP
Answer:
The maximum area of one square plot is 144 [tex]m^2[/tex]
Step-by-step explanation:
Start by looking at what are the greater common factor of both provided dimensions (840 and 396) to find what the numbers are they both can be divided by evenly:
[tex]840=2^3\,*\,3\,*\.5\,*\,7\\396=2^2\,*\,3^2\,*\,11[/tex]
therefore, both numbers can be divided by [tex]2^2\,*\,3=12[/tex]
Which then gives:
[tex]\frac{840}{12} =70\\\frac{396}{12} =33[/tex]
Then, one can divide the longest side (840 m) into 70 sections of 12 meters each, and the shortest side of the piece of land (396 m) into 33 sections of 12 meters each.
Then we can have a total of 33 * 70 = 2310 smaller lots of 12 m by 12 m
That is smaller plots of a total area 144 square meters
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Answer:
0
Step-by-step explanation:
Answer: it's C. 0
Also Happy early Christmas