Step-by-step explanation:
The period of f(x) is π.
To calculate the period using the formula derived from the basic sine and cosine equations. The period for function y = A sin (B a – c) and y = A cos ( B a – c ) is equal to 2πB radians. The reciprocal of the period of a function is equal to its frequency.
What is the value of `x` in the solution of the system of equations?`3x-2y=6``\ \ x+2y=10`
Answer:
x = 4
Step-by-step explanation:
3x - 2y = 6 → (1)
x + 2y = 10 → (2)
add (1 ) and (2) term by term to eliminate y
(3x + x) + (- 2y + 2y) = 6 + 10 , that is
4x = 16 ( divide both sides by 4 )
x = 4
There are 14 white cabbages and x purple cabbages in a box.
A cabbage is selected at random.
The probability of taking a white cabbage from the box is 0.56.
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
Given:
14 = number of white cabbagesx = number of purple cabbagesP(W) = 0.56⇒ total number of cabbages = 14 + x
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
[tex]\sf \implies P(W)=\dfrac{number \ of \ white \ cabbages}{total \ number \ of \ cabbages}[/tex]
[tex]\sf \implies 0.56=\dfrac{14}{14+x}[/tex]
[tex]\sf \implies 0.56(14+x)=14[/tex]
[tex]\sf \implies 7.84+0.56x=14[/tex]
[tex]\sf \implies 0.56x=6.16[/tex]
[tex]\sf \implies x=11[/tex]
Find the value of x for which ABCD must be a parallelogram.
Miki, a resident of kyoto, earns an annual salary of ¥6,760,950. if the japanese government levies a 29.12% income tax on miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen? a. ¥4,792,161 b. ¥4,643,510 c. ¥4,439,195 d. ¥4,364,869
The amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.
What do you mean by percentage?
Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the percentage symbol '%'.
Miki, a resident of kyoto, earns an annual salary of ¥6,760,950. The Japanese government levies a 29.12% income tax on miki’s tax bracket.
The amount of tax Miki pay to the government as income tax is,
[tex]I=\dfrac{29.12}{100}\times6760950\\I=1968788.64[/tex]
Miki, earns an annual salary of ¥6,760,950. Thus, her yearly take-home pay after the deduction of income tax is,
[tex]M=6760950-1968788.64\\M=4792161.36\\M\approx4792161[/tex]
Thus, the amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.
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Answer:
A
Step-by-step explanation:
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A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm
Answer:
S = R θ where θ is in radians
If θ = 2 pi then S = 2 pi R the circumference of the circle
θ = S / R = 9.7 / 9 = 1.08 rad
Since 1 rad = 360 / (2 pi) = 57.3 deg
the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg
X= 15+yx+2y =51solve the system using elimination
Answer:
Im not going to give u an answer, but i will help u get the answer.
Step-by-step explanation:
there is a algebra problem solver called symbolab it really helps
Please help me answer this question on congruent triangles. 30 points
Answer:
h = 24 cm
Step-by-step explanation:
Let [tex]x[/tex] = height of ΔCBD
Let [tex]h[/tex] = height of ΔABE
As ΔABE ~ ΔCBD then AE : CD = [tex]h[/tex] : [tex]x[/tex]
Given:
AE = 20 cmCD = 10 cm[tex]\implies 20 : 10 = h : x[/tex]
[tex]\implies \dfrac{20}{10}=\dfrac{h}{x}[/tex]
Cross multiply:
[tex]\implies 20x=10h[/tex]
Simplify:
[tex]\implies 2x=h[/tex]
As we are told that [tex]x+h=36 \ \sf cm[/tex]
[tex]\implies h=36-x[/tex]
Equate the two equations for [tex]h[/tex] and solve for [tex]x[/tex]:
[tex]\implies 2x=36-x[/tex]
[tex]\implies 3x=36[/tex]
[tex]\implies x=12[/tex]
Since [tex]h=2x[/tex] then
[tex]\implies h=2 \cdot 12[/tex]
[tex]\implies h=24 \ \sf cm[/tex]
200 divided by 5 what is the answer
Answer:
40
Step by Step:
200/5 = 40
is x+4 a factor of P(x)=4x^2-4x+8?
Answer:
(x^3-2x^2-4)*(x+2)
Step-by-step explanation:
ST is parallel to RU in the figure. What is m<3 if m<1 =49
Answer:
49
Step-by-step explanation:
M<1 = M<2 - Corresponding angles are congruent
M<2 = M<3 - Vertical angles
Answer:
6) 49°
7) 30°
Step-by-step explanation:
6)Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.
∠3 = 49° . . . . . . . same as ∠1
__
7)Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.
5x +x = 180°
x = 180°/6 = 30°
a = 30° . . . . . . . . same as x
solve pls brainliest
Answer:
No, No, Yes, Yes, Yes.
Step-by-step explanation:
A integer is a whole number. 1, 2, 3, etc.
Answer:
Only -46 is an integer number and others are not.
Step-by-step explanation:
An integer is a whole number but not a fractional number that can be positive, negative, or zero.
In this chart -46 is an integer cause it is a whole number and -1/2, 57.68, 24/6, 9/3 are not integers cause they are a fraction.
You pay 3. 5% annual simple interest for 12 years on a loan and you pay $1512 in interest. How much is the principal
Answer:
P = $1,064.79
Step-by-step explanation:
the equation we will use is P = A / (1 + rt), where P=principle, A=amount payed, r=rate(interest), and t=time. first convert the rate into a decimal (0.035) and then plug in the numbers into the equation P = 1512 / ( 1 + (0.035 × 12)) = 1064.79
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. scale factor =
The scale factor when a triangle of 8cm side is enlarged to a triangle of 64cm side is 8.
Side of the first triangle = 8cm
Side of the second triangle = 64cm
What is a scale factor?A scale factor is a number by which the size or dimension of an object is enlarged or diminished.
For example, if an equilateral triangle with a side x is dilated by a scale factor of 2, the enlarged size of the side will be 2a.
So, scale factor = side of the second triangle/ corresponding side of the first triangle.
Scale factor = 64/8
Scale factor = 8
Therefore, The scale factor when a triangle of 8cm side is enlarged to a triangle of 64cm side is 8.
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Answer:
8 I did the assignment
Step-by-step explanation:
Can someone explain this to me?
One of the acute angles in a right triangle measures 62°. What is the measure of the other acute angle in the triangle?
Answer: 28 degrees
Step-by-step explanation:
In a right triangle, the two acute angles are complementary, so the other acute angle measures 90-62=28 degrees.
p-p-p-q-q-q =?
its urgent
Hey there!
Let's combine like terms:
p-p-p-q-q-q
p-p-p=-p
-p-p-q-q-q
-p-3q
Remember, like terms are from the same "family"
So p's are from the p family, and q's are from the q family.
Hope everything is clear.
Let me know if you have any questions.
#LearningDoesn'tEnd
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.
How to calculate the distance?The distance covered by the spy in t hours will be calculated thus:
= 60 × t
= 60t
The distance covered by the special agent in t hours will be:
= 90 × t
= 90t
The difference in the distance between them every hour will be:
= 90t - 60t
= 30t
The distance between the spy and special agent when the chase begins will be:
= (2 × 60mph) - 0
= 120m - 0
= 120m
The time taken to catch the spy will be:
120 + 60t = 90t
90t - 60t = 120
30t = 120
t = 120/30 = 4
The special agent will catch the spy in 4 hours.
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Answer:
A: 60t
B: 90t
C: 30 mph
D: 120 miles away
E: 4 hours
F: 120 mph
Step-by-step explanation:
What is the square root of 81
Answer: 9
Step-by-step explanation:
9*9 = 81
Answer:
9
Step-by-step explanation:
9*9=81
PLEASE HELP ME IM NOT GOOD AT MATH
Veronica rolls a six-sided die 28 times.
How many times should she expect the die to land on an even number?
Enter your answer as a number, like this: 42
Answer:
14
Step-by-step explanation:
There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.
the temperature is falling at rate of 3 degrees per hour. if the temperature at 12 midnight is "-2°c," what will be the temperature at 5:00 am
Answer:
- 17° C
Step-by-step explanation:
the temperature falls at 3° per hour
midnight → 5.00 am is 5 hours , then
5 × - 3 = - 15 ← falls 15° in the 5 hours
temperature at 5..00 am = - 2 - 15 = - 17° C
Answer:
-17
Step-by-step explanation:
as it is falling by three so at 5am it will reach -17
Solve the following proportions
Answer:
[tex]6.5 \times 12.4 = 40.3 \: m \\ \frac{80.6}{40.3} = 2[/tex]
I AM BEGGING. PLEASE HELP
Answer:
84cm³Step-by-step explanation:
Volume of the right triangular prism:
Note: V=l*w*h
L=3cm
W=4cm
H=7cm
Then, multiply.
3*4*7=84
84cm³
Therefore, the correct answer is 84cm³.
I hope this helps you! Let me know if my answer is wrong or not.
Find the equation to graph when 5x-4<0
Hey there!
5x-4<0
=> 5x < 0 + 4
=> 5x < 4
Divide both sides by 5
=> 5x/5 < 4/5
=> x < 4/5
x < 0.8
Graph in image
Find the measure of angle GHI.
Answer:
119 is correct answer.
Step-by-step explanation:
angle GHI+90+151=360 (being complete turn angle)
angle GHI =360-119
angle GHI =119
please show your work and no links
and please do the one that are blank
Answer:
its blury
Step-by-step explanation:
The sides of a square are 12 feet long. Find the new side
length after it is increased by 40%.
Answer:
16.80 ft long
Step-by-step explanation:
Find the sine ratio for ∠D.
a. 7/25
b. 24/7
c. 25/24
d. 24/25
Answer:
sin ∠D = 24/25
Step-by-step explanation:
sin = opposite / hypotenuse
Looking at ∠D, the opposite side is 24, hypotenuse is 25
Therefore sin = 24/25
Dion bought 3 pounds of oranges and 2 pounds of grapefruit . Write an expression to represent the amount of money Dion spent on fruit. Then evaluate the expression. How much did Dion Spend?
Fruit Prices: Lemons : $0.79
Oranges : $ 0.99
Limes : $ 1.09
Grapefruit : $ 1.59
The expression to represent the amount of money Dion spent on fruit is 3x + 2y.
The amount of money Dion spent is $6.15
How to represent mathematical expression?Expression are numbers, symbols and operators grouped together that show the value of something.
Dion bought 3 pounds of oranges and 2 pounds of grapefruit.
The expression to represents the amount of money Dion spent on fruit is as follows:
let
x = cost of each pounds of oranges
y = cost of each pounds of grapefruit
Therefore,
total cost = 3x + 2y
Let's evaluate the expression
total cost = 3(0.99) + 2(1.59)
total cost = 2.97 + 3.18
total cost = 6.15 dollars
Therefore, Dion spent $6.15
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i need help. please
Answer:
[tex]V=\pi r^2h=\pi *6^2*19[/tex] ≈ [tex]2148.8[/tex]
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