Answers
Answer:
[tex]sin {45}^{ \circ} = \frac{x}{2} \\ = > x = 2 \: sin {45}^{ \circ} \\ = > x = 2 \times \frac{1}{ \sqrt{2} } \\ = > \green{x = \sqrt{2} }[/tex]
[tex]tan {45}^{ \circ} = \frac{x}{y} = \frac{ \sqrt{2} }{y} \\ = > y = \frac{ \sqrt{2} }{tan {45}^{ \circ} } \\ = > y = \frac{ \sqrt{2} }{1} \\ = > \pink{ y = \sqrt{ 2 } }[/tex]
Related Questions
Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.
Answers
Answer: 4.15
Step-by-step explanation:
Find the equation of a line parallel to line y = 6 that passes through the point (-2,-1).
Answers
The line y = -1 parallel to line y = 6 that passes through the point (-2,-1).
In the equation, y=3x+2, is the point (2,8) a solution the equation?
1: Yes, the point is solution
2: No, the point is not a solution
Answers
Answer:
Given: The equation of the line y = 3x+2
The condition for a point to be on a line is to satisfy its equation
(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation
3 = 3(1/3) + 2
= 1 + 2
= 3
Hence, (1/3, 3) lies on the line
(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation
8 = 3(2) + 2
= 6 + 2
= 8
Hence, (2, 8) lies on the line
(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation
2 = 3(0) + 2 = 2
Hence, (0, 2) lies on the line(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation
19 = 3(7) + 2
= 21+ 2
= 23 ≠ 19
hence, (7,19) doesn’t lie on the line• Therefore ,Yes the point is a solution .Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!The point (2,8) means that whenever x=2, the y=8.
If you substitute x=2, then y=3(2)+2=8!
What is the domain of the following function?
Answers
Answer:
third option (-3,3,5,9)
Step-by-step explanation:
domain is the starting point of the set (x coordinate )
Select all relations that represent function
Answers
6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?
Answers
Answer:
5
Step-by-step explanation:
just had this question
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?
Answers
Answer:
17.25
Step-by-step explanation:
David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?
Answers
Answer:
3,700
Step-by-step explanation:
I know it's black because I did it in my head
if r and s represent the solutions of the equation below and r>s, what is the value of the difference r-s?
(3x+14)x=5
Answers
Answer:
16/3
Step-by-step explanation:
(3x + 14)x = 5
3x² + 14x = 5
3x² + 14x - 5 = 0
3x² + 15x - x - 5 = 0
3x(x + 5) - 1(x + 5) = 0
(3x - 1)(x + 5) = 0
x = 1/3 & -5
Here,
r = 1/3
s = -5
r - s
1/3 - (-5)
1/3 + 5
1 + 15/3
16/3
the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]
Answer:
Solution given:
(3x+14)x=5
opening bracket
3x²+14x=5
3x²+14x-5=0
Doing middle term factorisation
3x²+(15-1)x-5=0
3x²+15x-x-5=0
3x(x+5)-1(x+5)=0
(3x-1)(x+5)=0
either
x=-5
or
3x-1=0
3x=1
x=⅓
According to question value of x is r>s
so
⅓>-5
so
r=⅓
and
s=-5
Now
r-s=⅓-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]
Enter the value of 14 + (-22) – 14 – 22.
Answers
Answer:
-44!
Step-by-step explanation:
I’m going to try and explain this the best way possible through a keyboard:
14+(-22)-14-22
I usually work from left to right with these kinda problems, it helps me stay organized.
The rule for adding integers is when the signs are different you always subtract and take the sign of the LARGER number…
With that being said,
14+-22=-8
Then re write the problem
-8-14-22
Subtracting integers with different sign calls for the KCF method (keep the first number the same, change the sign, flip the second number:
Working one step at a time left to right…
-8+-14 (just add normally and keep the sign)
-22-22
Again using the kcf method,
-22+22=
-44
Hope that helps!
Jodie made a New Year's resolution to learn how to play the violin. She bought an
Introduction to Violin class pack from the Noble Notes music shop, which covers the cost of
12 violin lessons. She also paid $25 to rent a violin. In all, Jodie paid $385. How much does
each violin lesson cost?
Answers
Answer:
$30
Step-by-step explanation:
If x is the cost of a lesson, the total cost of Jodie's purchase is ...
cost of lessons + rental cost = total cost
12x + 25 = 385
12x = 360 . . . . . . . subtract 25
x = 30 . . . . . . . . . . divide by 12
Each violin lesson costs $30.
If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?
Answers
Answer:
you would of read 3 pages
Step-by-step explanation:
How do I write 4 times difference of a number and 8
Answers
Answer:
4(n-8)
Step-by-step explanation:
4(n-8)
I think it'd be written like this
Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?
Answers
Answer:
dont mind me just grinding for points
Step-by-step explanation:
50% of what number is 60?
Answers
Answer:
50% of 60 is 30
Step-by-step explanation:
whats the answer pls
Answers
Answer:
y=0.75x-1
Step-by-step explanation:
Roman has 2 red pencils in his backpack if this is 25% of the total number pencils how many pencils are in his backpack
Answers
Answer:
8 pencils
Step-by-step explanation:
if 2 red pencils are 25% of his number of pencils then multiply 2 by 4
because 25x4=100
so 2x4=8
Roman has 8 pencils in his bag
2x4= 8
Roman has 8 pencils
The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle
Answers
===================================================
Explanation:
The drawing is shown below.
Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CEThe goal is to find the length of CE based on these facts
BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DENotice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.
Focus on triangle CAD. We'll use the pythagorean theorem to find x.
a^2 + b^2 = c^2
(AD)^2 + (DC)^2 = (AC)^2
15^2 + x^2 = 17^2
225 + x^2 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Segment CD is 8 cm long, and so is segment DE.
To wrap things up, we then say:
CE = CD + DE
CE = 8 + 8
CE = 16
Chord CE is 16 cm long.
AMMA
Richard owned n cows
Ellis had exactly 4 times as many cows as Richard,
Richard buys 13 extra cows.
Ellis sells 9 of his cows
Ellis still has more cows than Richard
Form an inequality, in terms of n
Solve the inequality to find the least value of n
You must show all your working
Answers
Answer:
n ≥ 8
Step-by-step explanation:
Let R and E stand for the number of cows owned by Richard and Ellis, respectively.
We are told that:
R = n
E = 4n
Then:
R = n+13 [Bought 13 cows]
and
E = 4n-9 [Sold 9 cows]
Still:
E > R [Ellis still has more cows]
Therefore:
4n-9 > n+13
3n > 22
n > 7 1/3
Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number. The least value of n is therefore 8 cows or higher. Since 8 is a valid number, change the > inequality to ≥.
n ≥ 8
Choose the correct answer to 1,889 ÷ 36.
52 R17
51 R53
52 R15
42 R17
Answers
It is the right answer
What is greater -5 1/2 or 6.5
Answers
Answer:
6.5
Step-by-step explanation:
As we can see: -11/2 < 13/2
So -5 1/2 < 6.5
Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)
Answers
Answer:
[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]
Step-by-step explanation:
[tex]x^6-16x^2[/tex]
[tex]x^2\left(x^4-16\right)[/tex]
[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]
[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]
The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
Given that,
To determine the equivalent expression equivalent to x⁶ - 16x²
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= x⁶ - 16x²
= x²[x⁴- 16]
= x²[x² + 4] [x² - 4] [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)
Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Please help with this
Answers
Answer:
the value of ST is 2 of its x is 2
PLEASE HELPPPPPPPPP
SOOOO I didn't pay attention to math class and their already on a whole new subject which is algebra I need help on equations like 5x-2x- x x=5 like what or 9z times 7p= Let z=2 and p=3 please help due tomorrow please walk me down easily how to do
Answers
Answer:
5x-2x-x = 10 9z • 7p = 378
Step-by-step explanation:
With equations like these you're basically just plugging numbers in where there are variables. so if you have 5x-2x-x when x=5, you just plug in 5 wherever x is. 5x-2x-x turns into (5•5)-(2•5)-(1•5). you multiply the expressions in the parentheses to get 25-10-5 and then you simply subtract.
1. 5x-2x-x
2. (5•5)-(2•5)-(1•5)
3. 25-10-5
4. 10
We can do the same thing with your second example. 9z•7p when z=2 and p=3. When there is a z, you plug in a 2. When there is a p, you plug in a 3.
1. 9z•7p
2. (9•2) • (7•3)
3. 18 • 21
4. 378
hope this helps :)
does he like me (´༎ຶོρ༎ຶོ`)
yes or no !
Answers
Answer:
no he is dead
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh
25 POINTS
Answers
0.385
Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:
4.5 / 12 = 0.385
Each orange weighs 0.385 pounds.
.hope this helps!
in this lesson several postulates will help establish a way to draw angles
Answers
Answer:
make 90°angle with the help of compase
Find the value of the variables.
Answers
Answer:
d=8√2 = 11.31
x=3√3 = 5.20
y=6√3 = 10.39
Step-by-step explanation:
d²=8²+8²
d²=64+64
d²=128
d=√128
d=√64*2
d=8√2 = 11.31
30-60-90 triangle
x-x√3-2x
x√3=9
x=9/√3
x=3√3
y=2x
y=2 * 3√3
y=6√3
what is the lowest common denominator for 2/3 and 3/5
Answers
Answer:
15
Step-by-step explanation:
3 times 5 is 15
4. Mario planted a total of 150 eggplant and pepper seedlings. If he planted 50%
more pepper seedlings than the eggplants, how many pepper seedlings did he
plant?
Answers
Answer:
225 pepper seedlings.
Step-by-step explanation:
WAY 1: common sense
half of 150 is 75
75 + 150 = 225
WAY 2: % of number
convert % to decimals (/100)
0.5 x 150 = 75
150 + 75 = 225
