Answer:
56
Step-by-step explanation:
because of the type of triangle (isosceles) the 2 angles on the bottom near the equal sides will have equal angle sizes so...
62+62+x=180
124+x=180
x=180-124
x=56
What is the function where it has a maximum point at (pi, 6) and a minimum point at (-3pi/4, 2). Find the function. Give an exact expression.
Answer:
f(x) = 2*cos(4*x) + 4
Step-by-step explanation:
This is obviusly a sinusoidal function, which can be written as:
f(x) = A*cos( w*x ) + M
Where:
A = amplitude
w = angular frequency
M = midline.
Remember that the maximum of a cosine
cos(x) = 1, when x = (2*n)*pi (for any integer n)
And the minimum is at:
cos(x) = -1, when x = (2*m + 1)*pi (for any integer m)
Whit this in mind, we know that we have a maximum when:
x = pi
then we want:
w*pi = (2*n)*pi
and a minimum at:
x = -3*pi/4
Then we want
w*(-3*pi/4) = (2*m + 1)*pi
In the minimum case, we have a "4" in the denominator that is kinda unfortunate, so we woud want to take w = 4 in order to remove it, and this will work really well for wath we want, because:
w*pi = 4*pi = (2*2)*pi (here we have n = 2)
w*(-3*pi/4) = 4*(-3*pi/4) = -3*pi = (2*-2 + 1)*pi (here we have m = -2)
Then we can take w = 4.
So the function is something like:
f(x) = A*cos(4*x) + M
The amplitude is equal to half of the difference between the maximum and the minimum values of y.
The maximum is:
y = 6
the minimum is:
y = 2
Half of the difference is:
A = (6 - 2)/2 = 2
A = 2
Then our function is:
f(x) = 2*cos(4*x) + M
The value of the midline is equal to the maximum minus the value of the amplitude (or the minimum plus the value of the amplitude)
M = Maximum - A = 6 - 2 = 4
M = Minimum + A = 2 + 2 = 4
Then the function is:
f(x) = 2*cos(4*x) + 4
Answer:
2cos (4/7x - 4pi/7) + 4
Step-by-step explanation:
∠A and \ angle B∠B are complementary angles. If m\angle A=(x+8)^{\circ}∠A=(x+8) ∘ and m\angle B=(8x+1)^{\circ}∠B=(8x+1) ∘ , then find the measure of \angle A∠A.
Answer: [tex]17^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle A=(x+8)^{\circ}[/tex]
[tex]\angle B=(8x+1)^{\circ}[/tex]
Angle A and B are complementary i.e. sum of the two must be [tex]90^{\circ}[/tex]
[tex]\Rightarrow \angle A+\angle B=90^{\circ}\\\Rightarrow x+8+8x+1=90^{\circ}\\\Rightarrow 9x=90-9=81^{\circ}\\\Rightarrow x=9^{\circ}[/tex]
[tex]\therefore \angle A=x+8^{\circ}=9+8\\\Rightarrow \angle A=17^{\circ}[/tex]
In ΔSTU, the measure of ∠U=90°, US = 7.3 feet, and ST = 9.8 feet. Find the measure of ∠S to the nearest tenth of a degree.
Answer:41.8
Step-by-step explanation:
How does the cost of shirts compare to the cost of the magnets? *
The cost of the shirts is ____ times as much as the cost of magnets.
Answer:
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Step-by-step explanation:
Answer:
$0.95
Step-by-step explanation:
Which statement is true about the points shown on the number line? A number line from negative 8 to negative 3. Points are at negative 5.6 and negative 4.2. CLEAR CHECK −5.6<−4.2, and −5.6 is located to the left of −4.2. −5.6<−4.2, and −5.6 is located to the right of −4.2. −5.6>−4.2, and −5.6 is located to the left of −4.2. −5.6>−4.2, and −5.6 is located to the right of −4.2.
Answer:
−5.6<−4.2, and −5.6 is located to the left of −4.2
Step-by-step explanation:
Given the statements :
−5.6<−4.2, and −5.6 is located to the left of −4.2 (True) because - 5.6 located to the left of the number line and numbers are arranged from right to left in decreasing order.
−5.6<−4.2, and −5.6 is located to the right of −4.2. (Not true) only the first assertion is correct, - 5.6 < - 4.2, but 5.6 isn't located to the right of - 4.2
−5.6>−4.2, and −5.6 is located to the left of −4.2 (Not true) ; Though 5.6 is located to the left of 4 2, 5.6 is < 4.2
−5.6>−4.2, and −5.6 is located to the right of −4.2. (Not true) ; - 5.6 is < -4.2 and also located to the left of - 4.2
what’s the answer ??
Answer:
Step-by-step explanation:
radius r = 10/2 = 5 ft
height h = 5 ft
Volume = πr²h = π(5²)(5) = 125π ≈ 392.7 ft³
Evaluate 4b-a when a=12 and b=7
Answer:
4b - a = 15
Step-by-step explanation:
if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.
good luck:)
Brainliestttt Plssssssss:)
Answer:
4b - a = 15
Step-by-step explanation:
What is the rate he charges to mow?
OA. $1.50 per lawn
OB. $60.00 per lawn
OC. $15.00 per lawn
OD. $7.50 per lawn
help me pls its due soon
What should the renamed numerators for 5/7 and 2/6 be? (Just type the numerator, not the entire fraction
Answer:
do you mean in simplist form?? if so...
Step-by-step explanation:
5/7=5/7
2/6=1/3
Complete the statement. 15 kg = ____ g
Answer:
15000
Step-by-step explanation:
Answer:
15kg = 15,000 grams
Step-by-step explanation:
hope this helped if it did mark brainlest
and let me know
What is the slope of the line described by the equation 4x + 6y = 12?
Answers:
-3/2
-2/3
2/3
3/2
The height of a can is 3 times its radius. If the radius of the can is 3 centimeters, what is the volume?
Answer:
170 [tex]cent.^{3}[/tex]
Step-by-step explanation:
If the height is 3 times the radius you can find that by: 3r
r = 3.
So: 3 x 3 = 9
The height is 9 centimeters
Volume of a cylinder (can):
[tex]V= 2\pi rh[/tex]
Plug in what we know
[tex]V = 2 \pi (3) (9)\\V = 54\pi \\V = 169.646\\[/tex]
Rounds to: 170
Can someone help me find for x and y
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Triangles.
Since there is a linear pair with 40° , the another angle will be 140° ,
also the triangle newly formed is a isosceles one,
hence x = 20°
===> x = 20°
Now apply angle sum property of a triangle on, the other one,
we get as, 70+40+y=180
hence, y = 180-110
y = 70°
Hence angle y ==> 70°
Which of these inequalities are equivalent to r > -11? Check all that apply. -r < 11 3r < -33 3r > -33 -3r < 33 -3r > 33
Answer:
-3r < 33, 3r> -33 and -r < 11
Step-by-step explanation:
Which of these inequalities are equivalent to r > -11? Check all that apply. -r < 11 3r < -33 3r > -33 -3r < 33 -3r > 33
For the inequality -r < 11
Multiplying both sides by -1 will reverse the sign to have;
-1(-r) > -1(11)
r > -11
for the inequality 3r> -33
Divide bith sides by 3 will not reverse the sign because we are divideing by a positive number
3r/3 > -33/3
r > -11
For the inequality -3r < 33
Divide both sides by -3 will reverse the sign
-3r/-3 > 33/-3
r > -11
Hence the required inequalities are -3r < 33, 3r> -33 and -r < 11
Answer:
-3r < 33, 3r> -33 and -r < 11
Step-by-step explanation:
i just took the test
A company makes a profit of $2 per software program and $3 per video game. The company can produce at most 40 software programs and at most 15 video games per week. Total production cannot exceed 48 items per week. How many items of each kind should be produced per week in order to maximize the profit?
Use linear programming to solve. Show all your work.
Answer:
reeg
Step-by-step explanation:
find the degree of the polynomial
Answer:
Step-by-step explanation:
1) 5a - 2b² + 1
Degree of the polynomial = 2
2) 4x²-3x³ + 2x + 12
-3x³ + 4x² + 2x + 12
Degree of the polynomial = 3
To find the degree of the polynomial, arrange it in descending as per the power of the variables.
The highest power of the variable is the degree of the polynomial.
11. The surface area of a triangular prism is 78 square inches. What is
the surface area of a similar prism that is three times as large?
A. 156 square inches
B. 234 square inches
C. 312 square inches
D. 702 square inches
Answer:
D. 702square inches
Step-by-step explanation:
1. V=78km^3
2. K=∛9
3. K^3=∛9^3
4.9 x 78=702
Rest of the Key for the test is here:
http://mrsaperez.weebly.com/uploads/1/1/0/5/110500127/t8_review_part_2_key.pdf
The determinant of the matrix
Answer:57
Step-by-step explanation:
(7 x 9) - (-3 x -2) = 57
Lily bought 11 3/4 metres of ribbon. Each metre costs $24.00. How much did Lily spend
Answer:
$282
Step-by-step explanation:
John is paid $20 per hour, his boss is giving him a 20% raise. How much will he make per hour after the raise?
Answer:$24
Step-by-step explanation:
100 devided by 20 is 5
20 devided by 5 is 4
20+4=24
NEED HELP ASAP
If the side lengths of a cube are 15 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
15 ⋅ 15 ⋅ 15
15 ⋅ 3
3^15
15^3
Which set of numbers cannot represent the lengths of the sides of a triangle?
1) 7,5,6
2) 7,18,11
3) 6,8,11
4) 9,1219
Answer:
2) 7,18,11Step-by-step explanation:
Triangle inequality:
Sum of side lengths of any two sides must be greater than the third side
7 + 11 = 18, this is the only exceptionOption 2
Answer:
2) 7,18,11
Step-by-step explanation:
Because it is the "Correct Answer"
2. Which property is used in the statement?
If 2w=−8, then w=−4.
A. Reflexive Property
B. Division Property of Equality
C. Subtraction Property of Equality
D. Symmetric Property
Answer:
B
Step-by-step explanation:
Need help ASAP please
The graph of the quadratic function y(x) in the ty plane is a parabola containing the points (9,8) and (-5,8). Which of the following points could be the vertex of the parabola?
(0,2)
(2,5)
(4,10)
(7,0)
Answer:
(2, 5) is the correct answer.
9 cm 12 cm Which of the following equations could be used to find the area of the rhombus? What is the area of the rhombus?
Answer:
A = (9)(12)
Step-by-step explanation:
I need help with this
Answer:
I'm pretty sure it's b ''the number of chargers increases''
Step-by-step explanation:
Helpppppp pleaseeeee
Answer:
x + 11
x = 6
6 + 11
17
Step-by-step explanation:
Answer: X+11=6+11=17 #5
Step-by-step explanation:
Hope this helps! Have a good day! :)
Andre runs for 35 seconds at a velocity of -8 meters per second. He is running west. What is his finishing position?
Answer:
d = -280 m
Step-by-step explanation:
Given that,
Velocity of Andre, v = -8 m/s
Time taken, t = 35 seconds
We need to find his finishing position. Let the finishing position be x.
We know that,
Velocity = distance/time
So,
[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]
so, he was at a distance of 280 m in west.
MATH!!!
if both cylinders have an identical base, and cylinder 1 has a height of 4 inches and a volume of 120 cubic inches, and cylinder 2 has a height of 7 inches, what is the volume of cylinder 2?
Answer:
210 Hope it helps! if you have any other questions I can help
What is 5 divided by 1 1/2?
Answer:
3 and 1/3
Step-by-step explanation: