Answer:
x=4
Step-by-step explanation:
As the two angles are clearly congruent because of the bisector, we set them equal to each other:
7x=3x+16
4x=16
x=4
Therefore, the value of x is 4 and not 9
need answer please !!!!!
Answer: -9
Step-by-step explanation:
f(x)=-5x-4
f(1)=-5(1)-4
=-5-4
f(1) =-9
Is it a right triangle please help!
Answer:
no
Step-by-step explanation:
Hello There!
We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem
The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared
so if it is a right triangle then
\(74^2=71^+24^2\)
\(74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617\)
5617 is not equal to 5476 therefore the given side lengths do not form a right triangle
~TheMathWIz
Relaciona el número con su lectura. Luego,selecciona la respuesta correcta
De acuerdo con la información presentada se puede inferir que la relación entre los números y letras es 1b, 2d, 3a, y 4c (opción a)
¿Qué es un número entero?Los números enteros son todos los números que pertenezcan a la categoría de los números naturales. Adicionalmente, se incluyen sus opuestos negativos incluyendo el número cero (0).
De acuerdo con lo anterior, debemos asociar los números con la forma correcta de escribirlos. Primero debemos tener en cuenta el número que está antes de la coma.
Por ejemplo el primer número solo puede relacionarse con las opciones B y D, debido a que estos comienzan con el 3.
Posteriormente, nos fijamos en el número que está después de la coma que en el caso del primer número sería cuatro mil ciento cinco millonésimos. Entonces el número 1, se asociaría con la letra b.
Entonces la opción 2 se debe relacionar con la opción restante que dice tres, antes de la coma, es decir, la opción d.
En cuanto a las opciones que comienzan con el 32, antes de la coma realizamos el mismo procedimiento de fijarnos en el número que está después de la coma. En el caso del número 3. tiene el número cuatrocientos un mil cinco millonésimas después de la coma, entonces sería la opción A.
Por último, la única opción que queda sería la opción C que se relaciona con el número 4.
Nota: Esta pregunta está incompleta debido a que hay información faltante. Aquí está la información faltante:
1) 3,04105
2) 3,4105
3) 32,401005
4) 32,040105
A) Treinta y dos enteros con cuatrocientos un mil cinco millonésimos.
B) Tres enteros con cuatro mil ciento cinco millonésimos.
C) Treinta y dos enteros con cuarenta mil ciento cinco millonésimos-
D) Tres enteros con cuatro mil ciento cinco diezmilésimos.
Opciones de respuesta:
A. 1b, 2d, 3a, 4c
B. 1a, 2d, 3b, 4c
C. 1a, 2c, 3b, 4d
D. 1b, 2a, 3d, 4c
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What’s the y-intercept
Y-14=6(x-2.5)
Answer:
\(y=-1\)
Step-by-step explanation:
\(y-14=6(x-2.5)\)
\(y-14=6(0-2.5)\)
\(y-14=6(-2.5)\)
\(y-14=-15\)
\(y=-1\)
A circle has a radius of 3.93 inches. Using the correct number of significant digits, find the circumference and the area of the circle.
The circumference is ____ in.
The area is ____ in.
Answer:
The circumference is 24.69 in.
The area is 48.52 in.
Step-by-step explanation:
Circumference rule => Cf=2πrSo, Cf=2π(3.93)=24.69in
Area rule => A=πr^2So, A=π(3.93)^2=48.52in
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
I need explanation for example 8.
Thankyou
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
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In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
Find the average value of the functions on the given interval.
Average value of
f\left(x\right)=x [4,9]
The average rate of change of the function over the interval is 1
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
f(x) = x
The interval is given as
From x = 4 to x = 9
The function is a linear function
This means that it has a constant average rate of change
So, we have
f(4) = 4
f(9) = 9
Next, we have
Rate = (9 - 4)/(9 - 4)
Evaluate
Rate = 1
Hence, the rate is 12
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Find the missing length of the triangle.
10 in.
16
26 in.
Answer:
24
Step-by-step explanation:
26x26=676
10x10=100
676/100=576
The square root of 576 is 24.
What number goes on top?
Answer:
16
Step-by-step explanation:
because if you can see 8+8= 16 so my correct answer is 16
In 2-3, graph the system of equations to find the solution to the system. Then, use the check step to prove that the solution works in both equations. Show all work
The system of equations has an infinite number of solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
3x + 2y = 6 ____(1)
6x + 4y = 12 _____(2)
Applying the substitution method.
3x + 2y = 6
x = (6 - 2y)/3 in (2)
6 (6 - 2y)/3 + 4y = 12
2 (6 - 2y) + 4y = 12
12 - 4y + 4y = 12
12 = 12
This means,
It has an infinite number of solutions.
Thus,
An infinite number of solutions.
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The complete question is:
Graph the system of equations
3x + 2y = 6
6x + 4y = 12
and find the solution to the system.
14. Joe has 3 more than half the number of pets his
friend does. Joe has 4 pets. He represented this
situation with the following equation: 4 = 3+x.
2
1
To figure out how many pets his friend has, Joe wants
to subtract a number from four. He will then multiply the
result by a number to determine how many pets his
friend has
What number should Joe subtract?
What number should Joe multiply by?
Answer:
He should subtract 3 from 4 and then multiply by 2.
Step-by-step explanation:
4 = 3 + 1/2x
1 = 1/2 x
2 = x
What is -5+8=-3y+10 equal I’m so lost
Answer:
y=7/3
Step-by-step explanation:
Answer:
7/3 = y
Step-by-step explanation:
-5+8=-3y+10
3 = -3y + 10
Subtract 10 from each side
3- 10 = -3y +10-10
-7 = -3y
Divide each side by -3
-7/-3 = -3y/-3
7/3 = y
amplitude and period of y = 1 + cos 0
Amplitude and period of y = 1 + cos 0 are amplitude: = 1 and period: 2π respectively.
The cosine function cosx is one of the basic functions encountered in trigonometry
y = 1 + cos 0
Rewrite the expression as
−cos(x)+1.
Use the form
acos(bx−c)+d
To find the variables used to find the amplitude, period, phase shift, and vertical shift.
a =-1
b =1 = d
c=0
Find the amplitude
Let
Amplitude: = 1
Phase Shift: = 0
List the properties of the trigonometric function.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: 1
So the amplitude and period of the equation y = 1 + cos 0 are 1 and 2 correspondingly.
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The amplitude and period of the equation y = 1 + cos 0 are 1 and 2 correspondingly.
The cosine formula One of the fundamental trigonometry functions is cosx.
y = 1 + cos 0
Change the wording to
−cos(x)+1.
Apply the form
acos(bx−c)+d
to identify the parameters used to calculate the vertical shift, phase shift, amplitude, and period.
a =-1
b =1 = d
c=0
Measure the amplitude.
Let
Amplification: 1
0 for phase shift
Describe the trigonometric function's characteristics.
1 amplitude
Duration: 2
No phase shift
Shift Vertically: 1
As a result, y = 1 + cos 0 has an amplitude and period of 1 and 2, respectively.
What is 2 8/10 + (3.5) in decimal form?
Answer:
Step-by-step explanation:
If its 2.8/10+3.5 = 2.78
if its 28/10+(3.5)=6.3
If its 2/8 / 10 + 3.5 = 3.525
how?
2/8 (1/4 simplified) divided by 10 = 0.025 (0.25/10)
0.025+3.5=3.525
The slope of the line parallel to the line y = 10 - 8x.
A. 10
B. -8x
C. -8
D. 8
Answer:
The correct answer is C.
Step-by-step explanation:
you use y = mx +b
Select the correct operator for the following exponential expression.
35 ? 46
O A. =
OB. >
C.
Answer:
The correct operator for the exponential expression 3^5 ? 4^6 is > (greater than), because we can compare the values of the two exponents:
3^5 = 243
4^6 = 4096
Since 4096 is greater than 243, we can write:
3^5 < 4^6
or
4^6 > 3^5
Therefore, the correct operator for the exponential expression 3^5 ? 4^6 is > (greater than).
HELP PLEASE PLEASE FAST PLEASE I WILL REWARD BRAINLYEST!
Answer:
good luck i would help bud i really don't know that
Answer:
14
Step-by-step explanation:
The area of the triangle is \(\frac{1}{2}\times4\times7 = 14\)
Which set of numbers includes only integers?
Group of answer choices
12,23,67,0
−3,−2,2,3
−6,−4,−2,−12
−5,−314,1,18
Answer:
12, 23, 67, 0 is the answer
Answer:
a or b
Step-by-step explanation:
we have you find the answer and an integer in a set of number or its opposites
25) Find the measure of the side MN.
A) 17.1
B) 18.1
C) 19.1
The measure of the side MN is 19.1.
What are trigonometric functions?In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The different trigonometric identities are expressed as:
cosine, tangent, cotangent, cosecant, secant, and sineFrom the information given, we have that:
The opposite side of the triangle is MNThe adjacent side is 11ftUsing the tangent identity:
\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)
Substitute the values
\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)
Cross multiply the values, we have:
\(\text{MN} = \sf 1.73(11)\)
\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)
Hence, the measure of the side MN is 19.1.
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A composite figure is shown.
Diagram shows a composite shape formed by placing a cube before a square prism and a square pyramid next to it that share a common square base. Cube has sides labeled 6 feet. Length of the square prism is 20 feet and height of the pyramid is 4 feet.
What is the surface area for each part of the figure? What is the total surface area of the figure?
The surface area of the pyramid is
square feet.
The surface area of the square prism is
square feet.
The surface area of the cube is
square feet.
The total surface area is
square feet.
The surface area of the pyramid is 60 square feet
The surface area of the square prism is 480 square feet
The surface area of the cube is 180 square feet
The total surface area is 720 square feet
Area of Composite figuresFrom the question, we are to calculate the surface area of each part of the composite figure
For the cubeSurface area of a cube is given by
\(S = 6l^{2}\)
Where \(l\) is the length of a side
But only have 5 surfaces of the cube are part of the composite figure
∴ Surface area of the cubic part of the figure = \(5l^{2}\)
From the given information,
\(l = 6 \ feet\)
∴ Surface area of the cubic part of the figure = 5 × 6²
Surface area of the cubic part of the figure= 180 square feet
For the square prismThe surface area of a square prism is given by the formula,
\(S = 2l^{2} + 4lh\)
Where \(l\) is the length of the sides and
\(h\) is the height
But the square surfaces are not part of the surface of the figure
∴ Surface area of the square prism in the figure = \(2l^{2} + 4lh - 2l^{2}\)
Surface area of the square prism in the figure = \(4lh\)
From the given information,
\(l = 6 \ feet\)
\(h = 20 \ feet\)
Thus,
Surface area of the square prism part of the figure = 4×6×20
Surface area of the square prism part of the figure = 480 square feet
For the pyramid
The pyramid is a square pyramid
The surface area of a square pyramid is given by
\(S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }\)
Where \(l\) is the base length
and \(h\) is the height of the prism
But the square base is not part of the surface of the figure
∴ Surface area of the pyramid part of the figure = \(l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})\)
Surface area of the pyramid part of the figure = \(2l\sqrt{\frac{l^{2} }{4}+h^{2} }\)
From the given information,
\(l = 6 \ feet\)
\(h = 4 \ feet\)
∴ Surface area of the pyramid part of the figure = \(2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }\)
= \(12\sqrt{\frac{36 }{4}+16}\)
= \(12\sqrt{9+16 }\)
= \(12\sqrt{25}\)
= 12 × 5
= 60 square feet
Hence, the surface area of the pyramid is 60 square feet
Thus,
The total surface area = 180 square feet + 480 square feet + 60 square feet
The total surface area = 720 square feet
Hence, the total surface area is 720 square feet
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Answer:
1: 60
2: 480
3: 180
4: 720
Step-by-step explanation:
plato answer :)
which trigonometric functions are equivalent to tan θ
Answer:
i think its -tan(-0) I'm not sure sorry if you get it wrong
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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Thank you for taking the time out of your day to help me. Appreciate it.
Answer:
calculator gave me 6.5732
Step-by-step explanation:
I need help please.
Answer:
A because there isnt a mode, hope this helps\
What is (23)(−98)(−45)(−1)
Answer:
(23)(−98)(−45)(−1)= -101430
Determine how many liters a right circular cylindrical tank holds if it is 6 m long and 13 m in diameter.
The tank holds approximately 994,040 liters.
To solve this problem
The volume of a right circular cylinder is given by the formula:
V = πr^2h
Where
r is the radius of the cylinderh is its height π is a mathematical constant approximately equal to 3.14159The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m
The cylinder is described as having a 6 m length.
These values are substituted into the volume calculation to produce the following result:
V = π(6.5)^2(6)
V ≈ 994.04 cubic meters
Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.
V = 994.04 cubic meters x 1000 liters/cubic meter
V = 994,040 liters
Therefore, the tank holds approximately 994,040 liters.
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y = 6 sin(x) y = 6 cos(x) 0 ≤ x ≤ π/4 about y = −1
are you speaking another language