Answer:
20x+4
Step-by-step explanation:
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answer: Line EF=2
Step-by-step explanation: 11 minus 9 is equal to 2. So line EF is equal to 2.
Briefly explain your knowledge of sine, cosine, and tangent.
Answer:
Sine, Cosine and Tangent are main functions used in Trigonometry .
They are based on a Right-Angled Triangle.
It helps to give a name to each side of a right triangle:
"Opposite" ; side opposite to the angle θ
"Adjacent"; side adjacent (next to) to the angle θ,
"Hypotenuse" ; the longest side
Step-by-step explanation:
Sine, Cosine and Tangent (are often shortened as sin, cos and tan)
They are used in calculation by;
[tex]Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}[/tex]
To remember how to apply them , we use
SOHCAHTOA
soh
Sin = Opposite / Hypotenusecah
Cosine = Adjacent / Hypotenusetoa
Tangent = Opposite / AdjacentI hope it helps :)A wave has a time period of 0.2 s Calculate the frequency of the wave.
Answer:
[tex]\huge\boxed{f = 5\ Hz}[/tex]
Step-by-step explanation:
Given:
Time period = T = 0.2 sec
Required:
Frequency = f = ?
Formula:
f = 1/T
Solution:
f = 1/0.2
f = 5 Hertz
Answer:
[tex] \boxed{\sf Frequency \ (f) \ of \ the \ wave = 5 \ Hz} [/tex]
Given:
Time Period (T) = 0.2 s
To Find:
Frequency (f) of the wave
Step-by-step explanation:
[tex] \sf Frequency (f) = \frac{1}{Time Period (T)} [/tex]
[tex] \sf f = \frac{1}{0.2} [/tex]
[tex] \sf f = \frac{1}{0.2} \times \frac{10}{10} [/tex]
[tex] \sf f = \frac{10}{2} [/tex]
[tex] \sf f = \frac{ \cancel{2} \times 5}{ \cancel{2}} [/tex]
[tex] \sf f = 5 \: Hz[/tex]
Use the quadratic formula to solve for the roots of the following equation.
x2 - 4x + 13 = 0 x=____a0 +- ______a1 I
2+3i, x=2−3
Explanation:
Multiply and simplify. (1 − 5i)(1 − 2i) A) 1 + 7i B) 9 − 7i C) 1 − 7i D) − 9 − 7i
Answer:
The product renders: [tex]-9-7\,i[/tex]
Step-by-step explanation:
Recall that the product of the imaginary unit i by itself renders -1
Now proceed with the product of the two complex numbers using distributive property:
[tex](1-5\,i)\,(1-2\,i)=1-2\,i-5\,i+10\,i^2=1-7\,i-10=-9-7\,i[/tex]
Please help, I don't understand
Answer:
sin(θ) = (2/5)√6
Step-by-step explanation:
The sine and cosine are related by the formula ...
[tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]
Filling in the given value for cos(θ), we find the sine to be ...
[tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]
__
The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...
sin(θ) = (2/5)√6
Given the following venn diagram, choose the correct set for M
Answer:
M contains 3,4,7,9
M bar is 2 ,5 ,6 ,8
Step-by-step explanation:
The set for M is what is in the circle labeled M
M contains 3,4,7,9
The question in the picture asks for M bar which is what is not contained in M
M bar is 2 ,5 ,6 ,8
Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
ox²-1=0
Answer:
x² + 4x + 4 = 0
Step-by-step explanation:
x² + 4x + 4 = 0
( x + 2 )² = 0
x + 2 = 0
x = -2
x² + x = 0
x ( x + 1 ) = 0
x = 0 or x = -1
x² - 1 = 0
x² = 1
x = 1 or x = -1
Suppose
f
(
x
)
=
2
x
2
+
4
x
−
10
. Compute the following:
Answer:-80
Step-by-step explanation:f(x)=2*2+4*-10
What is the least common multiple of all positive integers smaller than 8?
Answer:
420
Step-by-step explanation:
We need to find the LCM of 1, 2, 3, 4, 5, 6 and 7. The LCM of 1, 2, and 4 is 4 and the LCM of 3 and 6 is 6 so the list becomes the LCM of 4, 5, 6 and 7. The LCM of 4 and 5 is 20, the LCM of 20 and 6 is 60 and the LCM of 60 and 7 is 420.
Answer:
420
Step-by-step explanation:
Prime factorization:
7 = 7
6 = 2 × 3
5 = 5
4 = 2 × 2
3 = 3
2 = 2
1 = 1
LCM: 7, 6, 5, 4, 3, 2, 1
2 × 2 × 3 × 5 × 7 = 420
Mrs.magar sold 40 kg of fruits at rate of RS 60 per kg and gained Rs 600 . calculate purchasing rate and profit percent.
Answer:
Purchasing rate = ₹45 per kg
Profit percent = 33.33%
Step-by-step explanation:
Selling price of 1 kg fruit = ₹60
Therefore, S. P. of 40 kg fruits = 40*60 = ₹2400
Gain = ₹ 600 (given)
Cost price (C. P.) = S. P. - Gain
= ₹2400 - ₹600
= ₹ 1800
Rate of purchasing
= C. P. /quantity of fruits
= 1800/40
= ₹45 per kg
Profit percent
= (Gain* 100)/C.P.
= (600*100)/1800
= 60000/1800
=33.33%
How many 1-foot rulers laid end to end would
it take to equal 3 yards?
Answer:
9
Step-by-step explanation:
what is the solution to this equation -3x=52
Answer:
-17.3
Step-by-step explanation:
To solve for x, we can divide both sides by -3:
x = -52 / 3 which = -17.3
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{ - 17.33}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 3x = 52}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{x = - 17.33}[/tex]
Hope I helped!
Best regards!!
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 3 end quantity plus 5 equals x
Answer:
Step-by-step explanation:
[tex]\sqrt{x-3} +5=x\\\sqrt{x-3} =x-5\\squaring ~both~sides\\x-3=x^2-10x+25\\x^2-10x-x+25+3=0\\x^2-11x+28=0\\x^2-7x-4x+28=0\\x(x-7)-4(x-7)=0\\(x-7)(x-4)=0\\x=7,4[/tex]
put x=7 in the given equation
[tex]\sqrt{7-3} +5=7\\\sqrt{4} +5=7\\2+5=7\\7=7[/tex]
which is true .
∴ x=7 is a solution of the given eq.
now put x=4 in the given eq.
[tex]\sqrt{4-3} +5=7\\1+5=7\\6=7\\[/tex]
which is not true.
∴x=4 is an extraneous solution.
Question 2(Multiple Choice Worth 1 points) (06.03 MC) Choose the correct simplification of the expression (5xy5)2(y3)4 A.25x2y22 B.10x2y22 C.25x3y14 D.10x3y14
Question 3(Multiple Choice Worth 1 points) (06.05 MC) Aurora is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money Aurora earns per ticket, where x is the number of tickets she sells. The function g(x) = 8x represents the number of tickets Aurora sells per hour, where x is the number of hours she works. Find f(g(x)), and explain what it represents.
Answer:
Question 2;
A. 25·x²·y²²
Question 3;
f(g(x)) = 4·x, represents the amount Aurora earns per hour
Step-by-step explanation:
Question 2;
(5·x·y⁵)²(y³)⁴ = (25×x²×y¹⁰)×y¹²
(25×x²×y¹⁰)×y¹² = 25×x²×y¹⁰⁺¹² = 25×x²×y²²
Therefore, the correct option is A. 25·x²·y²²
Question 3;
The given functions are;
The function f(x) = 0.5·x is the earnings of Aurora per ticket sold
The function g(x) = 8·x is the number of tickets Aurora sells per hour
Therefore, we have;
f(g(x)) = 0.5 × g(x) = 0.5 × 8·x = 4·x
The value of the function of a function f(g(x)) = 4·x, represents the amount Aurora earns per hour.
A farmer has 2000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this. 4.
Answer:
500 plantsStep-by-step explanation:
Step one:
given that the number of plants the farmer has is 2000
for him to plant in equal rows and column he needs an amount of plant the is a perfect square.
The closest number to a perfect square is 2500
Step two:
From the above figure which is 2500 plants, the farmer is able to plant 50 rows and 50 columns.
multiplying these values together will amount to 2500
Hence the farmer needs at least 500 plants to achieve this
Answer:
25
Step-by-step explanation:
Number of plants = 2000
He wants to plant such that number of rows and column of plants remain the same, Find the minimum number of plants he needs more for this:
To obtain this,
We take the square root of 2000
Sqrt(2000) = 44.721359
Therefore, the number of columns and rows we need is a natural number whereby the square root of its square is perfect (that is leaves no remainder).
The minimum number will thus be ; the next natural number or integer after 44.721359, whish is 45
Taking the square of 45
45^2 = 2025
The minimum number of plants needed more is :
2025 - 2000 = 25 plants
What two times could this be on the 24-hour clock?
Stewart is hiring a plumber to fit his shower. He charges a callout fee of £18.50 and then £x per hour after that. The plumber charges him £167.00 and it takes him 9 hours. How much does the plumber charge per hour?
Answer:
Step-by-step explanation:
Amount charges by plumber = £ 167.00
Call out fee = £ 18.50
Charge excluding the call out fee = 167 - 18.50 = £ 148.50
Total hours worked = 9 hours
Charge per hour = charge excluding the call out fee ÷ total hours
= 148.50 ÷ 9
= £ 16.50
A square plot of land has an area of 484m².What is the perimeter
Answer:
Perimeter: 88m
Step-by-step explanation:
Area of the square plot = (Side) X (Side)
And we are given the area is 484m²,
therefore, (Side) X (Side) = 484m²
or,
(Side)² = 484, taking square root on both the sides,
[tex]\sqrt{(Side)^{2} }[/tex] = [tex]\sqrt{484}[/tex]
Side = 22m.
And we know that, perimeter of a square is = 4 X (Side)
Therefore, Perimeter = 4 X 22 = 88m
:-)
Answer:
88m
Step-by-step explanation:
Area = 484m^2
A= s^2
484= s^2
s=[tex]\sqrt{484}[/tex]=22m
∴22m=s
⇒So, Perimeter= 4a=22*4= 88m
___H2 + ___Br2 → ___HBr
Answer:H2+Br2-->2HBr
Step-by-step explanation:
The amount of atoms on the left side must be equal to the amount of atoms on the right side for each element.
On the left you got 2xH and 2xBr.
This means you must have the same amount on the right.
2HBr =2xH + 2xBr
Juana wants to use the numbers 8, 6, 3,
and 2 to create her 4-digit ATM code.
She will not repeat any digits. How many
different codes could she create?
What is the value of 1/4m +n 8 - 6 = 12 *
Answer:
i dont know if you want me to solve for m
Step-by-step explanation:
Let's solve for m.
Find the missing value. Hint: Use the number line to find the missing value. − 7 = −7=minus, 7, equals − ( − 2 ) −(−2)minus, left parenthesis, minus, 2, right parenthesis
Answer:
The missing value is -9
Step-by-step explanation:
Given
[tex]-7 = _ -(-2)[/tex]
Required
Determine the missing value
Represent _ with a variable
[tex]-7 = x -(-2)[/tex]
Open the bracket
[tex]-7 = x -1*-2[/tex]
[tex]-7 = x + 2[/tex]
Subtract 2 from both sides
[tex]-7 - 2 = x + 2 - 2[/tex]
[tex]-9 = x[/tex]
Reorder
[tex]x = -9[/tex]
Hence, the missing value is -9
Answer:
The answer is 4=−2+6
Step-by-step explanation:
I checked on khan
Scouts of ABC school made to run around a regular hexagonal ground fig 9, of perimeter 270 m .If they started running from point X and covered two fifth (2/5th) of the total distance.Which side of the ground will they reach?
Answer:
Scouts are on the third side in the sense they are running
Step-by-step explanation:
A regular hexagonal shape of perimeter 270 has each side of 270/6 = 45
Let´s call d the run distance then
d = 2/5 * 270 d = 108 m
We don´t have fig 9 available therefore if X is a vertex in the hexagon or at the middle point of one side, scouts are 108 m from the starting point which means they had run 2,4 sides of the hexagon. If X is not either a vertex or a middle point of a side then, we have two solutions for the question depending on the sense the scouts took when began the run (clockwise or counterclockwise)
You and your friend are playing a game. The two of you will continue to toss a coin until the sequence HH or TH shows up. If HH shows up first, you win. If TH shows up first, your friend wins. What is the probability of you winning?
Answer:
The probability of friend A winning with HH = 1/4.
Step-by-step explanation:
The probability of an event, A is P(A) given by the relationship;
P(A) = (The number of required outcome)/(The number of possible outcomes)
The parameters given are;
The condition of friend A winning = Coin toss sequence HH shows up
The condition of friend B winning = Coin toss sequence TH shows up
The number of possible outcomes = TT, TH, HH, HT = 4
(TH and HT are taken as different for the game to be fair)
The number of required outcome = HH = 1
Therefore;
The probability of friend A winning with HH = 1/4.
what do you think you’d like most about working as a forensic scientist? why
Answer:
i think its very interesting and pretty cool, because there is so much to learn and so much to explore
i wouldn't like the fact that you have to study so much though
Step-by-step explanation:
Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2
Answer:
64
Step-by-step explanation:
khan acadamy
Answer:
64
Step-by-step explanation:
10
Complete the conversion. $2 per pound = $_ per ounce (round to the nearest hundredth)
Answer:
$2 per pound = $0.125. per pound
Step-by-step explanation:
The unit of weight conversion from pound to ounce is given as follows;
1 pound weight = 16 ounces weight
1 ounce weight = 1/16 pound weight
Therefore, whereby the cost of 1 pound weight of an item is two dollars, we have;
The cost of one ounce weight of the item will be the cost of 1 pound weight, divided by 16 and given as follows;
$2 per pound = $2/16 per pound = $0.125. per pound
Therefore;
$2 per pound = $0.125. per pound.
Which Property of real numbers does this equation show? 4 x 1 = 4
Answer:
This is multiplicative identity in which 4✖️1=4
Step-by-step explanation:
Hope it will help you:)
Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?
Answer:
[tex]120^{0}[/tex]
Step-by-step explanation:
Given: pentagon (5 sided polygon), two interior angles = [tex]90^{0}[/tex] each, other three interior angles are congruent.
Sum of angles in a polygon = (n - 2) × [tex]180^{0}[/tex]
where n is the number of sides of the polygon.
For a pentagon, n = 5, so that;
Sum of angles in a pentagon = (5 - 2) × [tex]180^{0}[/tex]
= 3 × [tex]180^{0}[/tex]
= [tex]540^{0}[/tex]
Sum of angles in a pentagon is [tex]540^{0}[/tex].
Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;
[tex]540^{0}[/tex] - (2 × [tex]90^{0}[/tex]) = [tex]540^{0}[/tex] - [tex]180^{0}[/tex]
= [tex]360^{0}[/tex]
So that;
the measure of the interior angle = [tex]\frac{360^{0} }{3}[/tex]
= [tex]120^{0}[/tex]
The measure of one of its three congruent interior angles is [tex]120^{0}[/tex].
