Answer:
Step-by-step explanation:
cos x° = \(\frac{27}{30}\) = 0.9 ⇒ x° ≈ 25.8°
The value of x will be 25.8°. Option D is correct. Trigonometric formulas of cos is used in the given formula.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
\(\rm cos \theta = \frac{Base}{Hypotenuse} \\\\ os \theta = \frac{B}{H} \\\\ cos \ x^0=\frac{27}{30}\\\\ x^0=25.8^0\)
The value of x will be 25.8°.
Hence,option D is correct.
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name of devices is used for drawing curves which can't be drawn by a compass
I need the answer please. Hello
Answer:
~ 15 %
Step-by-step explanation:
116.4 - 98.3 = 18.1
18.1 / 17.5 = 1.034 SD ABOVE the mean
this is a z-score of .8485 meaning 84.85 % have a score LESS than 116.4 so 15.15 % have a score higher
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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Suppose 27 gallons of water came out of a pipe in 9 minutes.what was the rate in gallons per minute
Answer:
Rate = 56 gal / 7 min
= 8 gal / min
Step-by-step explanation:
Hope this helps pls leave a heart c:
dude what is this i dont understand
Answer:
g(1) = 1
Step-by-step explanation:
the absolute value function always gives a positive result, that is
| - a | = | a | = a
to evaluate g(1) substitute x = 1 into g(x)
g(1) = - 3| 1 - 2| + 4
= - 3| - 1| + 4
= - 3(1) + 4
= - 3 + 4
= 1
If f(x) = x - 1 and g(x) = x3, what is (gºf)(8)?
Answer:
343
Step-by-step explanation:
f(x) = x - 1 and g(x) = x^3
g(f(8))
First find f(8) = f(8-1) = 7
Then find g(7) = 7^3 = 343
g(f(8) = 343
Answer:
I will assume that you meant to type (g o f)(8).
First we find f(8).
f(8) = 8 - 1 or 7.
We now find g(f(8)), which means g(7).
g(7) = 7^3 or 343
(g o f)(8) = 343:
(40 points please explain your answer)
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
(−1, 2)
(−2, 1)
(1, −2)
(2, −1)
A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees
A' is (-2,1)
Given :
A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.
The rule for reflection over y axis
(x,y) -> (-x,y)
Reflection over x axis is
(x,y) -> (x,-y)
Rotate by 180 degree
(x,y)->(-x,-y)
The point A lies on (-2,1)
Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules
Reflection over y axis
(-2,1) -> (2,1)
Reflection over y axis
(2,1)-> (2,-1)
Rotate by 180 degrees
(2,-1)-> (-2,1)
So A' is (-2,1)
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)\(\frac{x}{3}\)+6 > 12
⇒\(\frac{x}{3}\) > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
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you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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what is equivalent set
Step-by-step explanation:
An equivalent set is a set that has equal numbers or items.
Find the value of x for the following
The length x in the similar triangle is 7.06 units.
How to find the side of similar triangle?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
Therefore, let's use the similarity of the triangle to find the value of x in the triangle.
Hence, using the proportion,
y / 8 = 8 / 17
cross multiply
17y = 64
y = 64 / 17
y = 3.76470588235
y = 3.76
Therefore,
17 - 3.76 = 13.24
Hence,
13.24 / x = x / 3.76
cross multiply
x² = 49.7824
x = √49.7824
x = 7.05566439111
Hence,
x = 7.06 units
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An organism of a certain type can grow from 30 to 195 in 5 hours. What is the rate of growth?
Answer:
45.5% rate of growth
Step-by-step explanation:
what 2 answers are these?! x^2−5x−8=0
Answer:
sorry look question at once and comment
Tristan earned a grade of 64% on his multiple choice science final that had a total of 200 problems. How many problems on the final exam did Tristan answer correctly?
Answer:
128
Step-by-step explanation:just go cheat ok thank you
given circleR, how is it known that QS = YT
(idk the answer it was a guess)
Answer:
The diameters acts as diagonals
Step-by-step explanation:
QTSY is known to be a rectangle inscribed successfully inside a circle.
Now one of the properties of a rectangle is that it's diagonal divide it's shape into two equal parts and that it's has two equal diagonals.
In this case, the diagonals are QS and YT.
Another thing to observe it's that the diagonals of the rectangle pass through the center of the circle R and touching the circumference at both ends making the both diagonals a diameter as well.
So to prove that QS=YT
they are both diagonals that are diameters and they are equal because diameters of a circle are always equal while diagonals of a rectangle are also always equal.
What is the total price of 3.2 pounds of apples at 80¢ per pound?
Answer:
$2.56
Step-by-step explanation:
80x3 = 240
80x.2=16
240+12=256
$2.56
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
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What value(s) of δ are an appropriate choice when proving the following limit?
limx→−2(x2+8x+17)=5
Enter your answer in terms of ε. You should assume that 0<δ<4.
Which one is not a linear equation?
Choose the correct answer below.
A. 0.05x-0.09x = 0.50
B. 4x+9x = 12x
C. 8x^2-5x+2=0
D. 5x + 4(x-1) = - 4x
Answer:
C. 8x^2-5x+2=0
Step-by-step explanation:
The answer is Option C because it can only be solved by quadratic formula
Which polynomial is in standardare form?
Answer:
\(x^5y^5-3xy-11x^2y^2+12\)
Step-by-step explanation:
What does a polynomial being in standard form mean?
It means that the terms are ordered from highest degree to lowest.
In this case, it would be the 3rd option (\(x^5y^5-3xy-11x^2y^2+12\)) since it's the only option where all of the terms have a descending order of degrees.
Good luck!
need more points ??? solve this .....only first part for 50 points .....and follow me also!
Answer:
see below
Step-by-step explanation:
i.
= √(3 + 4i)
= 2 + i
ii.
= √(-8 + 6i)
= √2(-4 + 3i)
iii.
= √(-40 - 42i)
= √-2(20 + 21i)
iv.
= √i
= √i
v.
= \(\sqrt{\frac{2 + 3i}{5 - 4i} } +\sqrt{\frac{2-3i}{5+4i} }\)
= \(\sqrt{\frac{-2+23i}{41} } +\sqrt{\frac{2-3i}{46} }\)
Answer:
ok iam follow
Step-by-step explanation:
Mark as brainleist answer
salifye pizza charges a base pizza of $12.77 for large plus 7.44 additional topping.
a) Find a function that models the price of a pizza with toppings.
Find the inverse of the function. What does−1 represent?
If a pizza costs $20.20, how many toppings does it have?
Answer:
Sharjah Call Girls +971529238486 | Call Girls In Sharjah
Step-by-step explanation:
Sharjah Call Girls and our group are very a good deal satisfied to participate withinside the boom of the leisure field. Lots of customers are touring Sharjah now no longer handiest for playing the splendor of the town however additionally to the sensual entertainments our profiles.
For what values is the function g(x) = \(\frac{6}{x(x-7)}\) undefined?
At x = 0 and x = 7, the function g(x) is undefined.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression of the function is,
⇒ g (x) = 6 / x (x - 7)
Now, We know that;
The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0
Here, The expression of the function is,
⇒ g (x) = 6 / x (x - 7)
So, Function g (x) is not defined when,
x (x - 7) = 0
⇒ x = 0
or, x - 7 = 0
⇒ x = 7
Thus, At x = 0 and x = 7, the function g(x) is undefined.
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Find the slope of the line through the points (2, -2) and (8, -2)
Answer:
0
Step-by-step explanation:
We can find the slope using
m = ( y2-y1)/(x2-x1) where ( x1,y1) and ( x2,y2) are points on the line
m = ( -2 - -2)/(8 - 2)
= ( -2 +2) / ( 8-2)
= 0/6
=0
The slope is 0
Which algebraic expression represents The quotient of seven and the sun of twice a number and three squared?
PLEASE HELP
Answer: 7/(2x+3^2)
Step-by-step explanation:
y=mx+b
y=7
mx=2x
+b =3^2
7 ÷ ( 2x + 3²)
Which scatterplot shows a linear association?
Answer:
Scatterplot c shows a linear association.
I also need help on this, it would mean millions to me as this is for a grade. :)
Answer:
The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)