Answer:
C.
Step-by-step explanation:
According to theorem, congruent angles has congruent sides opposite to them so,
RS = TU
Now
12x+4 = 11x+15
12x-11x = 15-4
So
x = 11
Now
TU = 11x+15
= 11(11)+15
= 121+15
= 136 units
3
Bane is paid a salary of $400 a week plus 6% commission. How much would he make
in a week if he sold $15,000 worth of materials?
Answer:
$1300
Step-by-step explanation:
so, he would get the $400 basic salary plus 6% of the $15000.
15000 = 100%
1% = 100%/100 = $150
6% = 1%×6 = 150×6 = $900
so, in total, he would make
$400 + $900 = $1300 in that week.
At the end of may,mrs.freeman had a bank account balance of $442.37 since then,she has written a check for $63.92 and made a depoist of $350.000.Mrs freeman says she has $729.45 in her bank account. Make a table to determine if Mrs.freeman is correct.
Answer:
shes wrong
Step-by-step explanation:
Round the fraction to 0, 1/2, or 1.
4/7
Answer:
It is closer to 1/2 than anything
Step-by-step explanation:
so 1/2
Only answer if you’re sure :) need the whole answer! Will give Brainly
Answer:
Step-by-step explanation:
y = -1x + 1
y = -x + 1
I'm sure :P
Answer:
y=-1x+1
Step-by-step explanation:
the slope is 1/1 and line is declining hence the negative
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C
How to calculate the debt using the stack methodFrom the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.
The amount of 150 dollars would then be added to the debt that has the second highest rate.
Hence the amount of debt that would be paid off first would be the first debt based on the stack method.
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If Annie purchased 2 shirts for $10.00, how much will 4 shirts cost?
Answer:
$20
Step-by-step explanation:
2=10
4=20
(5+5)x2-12 divided by 4
Answer:
(5+5)x2-12 = 8
Step-by-step explanation:
5+5=10, 10×2= 20-12 = 8
Consider the following equation. 5x+3y=8 Step 1 of 2 : Determine the missing coordinate in the ordered pair (3,?) so that it will satisfy the given equation.
Answer: (3, -2.333) or (3, -7/3)
Step-by-step explanation:
We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.
\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)
Answer:
y= -2 1/3
Step-by-step explanation:
Since you have x, you put x into the equation and work through the problem.
5(3)+3y=8
15+3y=8, then subtract 15 from both sides
3y=(-7), then divide both sides by 3
y=(-7)/3 or (-2 1/3)
Use the Law of Sines to solve (if possible) the triangle: A = 25° 4', a = 9.5, b = 22? Round answer to two decimal places.
The measure of the angle B of the triangle is 78.15 degrees
How to determine the possible solutions from the triangleFrom the question, we have the following parameters that can be used in our computation:
A = 25 degrees
a = 9.5 units
b = 22 units
Using the law of sines, the angle B is calculated as
sin(A)/a = sin(B)/b
So, we have
sin(25)/9.5= sin(b)/22
This gives
sin(b) = 22 * sin(25)/9.5
Evaluate
sin(b) = 0.9787
Take the arc sin of both sides
b = 78.15
Hence, the measure of the angle is 78.15 degrees
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please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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How many centimeters are in a kilometer?
Answer:
100,000
Step-by-step explanation:
Answer:
there are 100000 meters in 1 kilo meter
Step-by-step explanation:
What is the measure of the unknown acute angle in this right triangle?
Answer:
The answer is 54
Step-by-step explanation:
36+90=126
180-126= 54
Answer:
54 degrees
Step-by-step explanation:
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
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Help Please.
The difference between two numbers is 9. Four times the larger number plus one-half the smaller is 45. What are the numbers?
Answer:
To solve this problem, we will use the following steps:
Step 1: Let's assume that the larger number is x and the smaller number is y, we know that the difference between the two numbers is 9, so we can write the equation: x-y = 9
Step 2: We know that Four times the larger number plus one-half the smaller is 45, so we can write the equation: 4x + 0.5y = 45
Step 3: Now we have two equations with two unknowns, we can solve for one of the unknowns by isolating it in one of the equations.
x-y = 9
x = y+9
Step 4: Now we can substitute the value of x in the second equation
4(y+9) + 0.5y = 45
4y + 36 + 0.5y = 45
4.5y + 36 = 45
4.5y = 9
y=2
Step 5: We can substitute the value of y in one of the equation, to find the value of x
x-2 = 9
x = 11
Final Answer: The two numbers are 11 and 2.
Un coche tarda 12 minutos en dar la vuelta a un circuito si va a una velocidad de 80 km/h. Cuánto tiempo tardara en recorrer el mismo circuito si va a una velocidad de 100 km/h?
A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.
What theory directly contradicts concept of absolute zero?
All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).
Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.
Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.
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Find the measure of the indicated angle.
Round to the nearest tenth degree.
Answer:
∅ = 40.3°
General Formulas and Concepts:
Trigonometry
cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Looking for m∠A
Step 2: Identify
adjacent leg of ∠A = AC = 7.4
hypotenuse = AB = 9.7
Step 3: Find theta
Substitute: cos∅ = 7.4/9/7Take trig inverse: ∅ = cos⁻¹(7.4/9.7)Evaluate: ∅ = 40.2807°Round: ∅ = 40.3°Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle
the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
Given: The hypotenuse of the right triangle,
c = 159 ft; angle A = 34°
We know that, in a right-angled triangle:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$\)
We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)
\({\text{adjacent}}$$\) Length of side a is:
\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)
Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:
\($$\text{Area} = \frac{1}{2}ab$$\)
Putting the values of a and b:
\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)
Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
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How is this solved a history class comprised of 3 female and 10 male students , if the instructor of the class randomly chooses 9 students from class for an oral exam what is probation of 2 female and 7 make students selected
Answer:
0.306
Step-by-step explanation:
Using binomial probability,
\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)
Can someone help me out?
Answer:
That first part equals 12.40 which is the answer to part B
Now for Part A
B and C equal 12.4
A, D and E equal 11.4
Step-by-step explanation:
Determine whether the
quadratic function
y=x² + 4x + 6 has
a maximum or minimum value.
Then find the value.
O maximum
minimum
The value is
Answer:
(a) The function has a minimum value
(b) The minimum value is 2
Step-by-step explanation:
(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is
y = ax^2 + bx + c.
We know that for our function a = 1.
When a > 0, the parabola opens upward and the vertex is a minimumWhen a < 0, the parabola opens downward and the vertex is a maximumThus, y = x^2 + 4x + 6 must have a minimum value.
(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.
Step 1: First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.
Plugging in 4 for b and 1 for a, we get:
x-coordinate of minimum = -4 / 2(1)
x-coordinate of minimum = -4 / 2
x-coordinate of minimum = -2
Step 2: Now we can plug in -2 for x in the quadratic function. The result will be our minimum value:
f(-2) = (-2)^2 + 4(-2) + 6
f(-2) = 4 - 8 + 6
f(-2) = -4 + 6
f(-2) = 2
Thus, the minimum value of the quadratic function is 2.
8.5 x 6.5 i need help with this question
Answer:
55.25
Step-by-step explanation:
So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!
Hope this helps! <D
Find f(-2) for the
piece-wise function.
f(x) =
X
|x+
x+1
if x ≤ 0
if x > 0
f(-2)=[?]
Answer:
The answer is,
f(-2) = -2
Step-by-step explanation:
Since -2 < 0, and f(x) = x for x < 0,
so we get,
f(-2) = -2
Help asap math homework
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
WILL GIVE BRAINLIEST
For what values of k will each relation not be a function A={(k^2,16),(4k,32)}
Answer: 0, 4
Step-by-step explanation:
find p + q
someone pls help
Answer:
70
Step-by-step explanation:
45+90=135
180-45=45
q=45
45+65=110
180-110=70
70-45=25
p=25
45+25=70
Answer: 70°
Step-by-step explanation:
We know that the sum of all 3 angles in a triangle is 180°. Hence, we can just set all measures to be equal to 180° and solve for the variables.
Left Triangle\(p+65+90=180\\p+155=180\\p=25\)
Right Triangle\(45+90+q=180\\135+q=180\\q=45\)
Sum\(p+q=25+45=70\)
The sum of p and q is 70°.
La diferencia de las medidas de dos ángulos suplementarios es 20% determina el complemento del menor de dichos ángulos
Smaller angle = 50
Larger angle = 130
Let smaller angle be x degree
=> larger angle= \(3x - 20\)
Since these angles are supplementary , So
\(= > x + 3x - 20 = 180\\= > 4x = 200\\= > x = 50\\= > 3x - 20\\ = > 150 - 20 = 130\)
So smaller angle would be 50 deg & larger angle would be 130 deg.
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I need help plz help
Answer:
12,6,0,-6,-12
Step-by-step explanation:
Plug the x values into the equation
y=-3x
y=-3(-4)=12
y=-3(-2)=6
y=-3(0)=0
y=-3(2)=-6
y=-3(4)=-12
Suppose that, as reported by the Centers for Disease Control, about 18% of high school students smoke tobacco. You randomly select 120 high school students to survey them on their attitudes toward scenes of smoking in the movies. a) What's the expected number of smokers? b) What's the standard deviation of the number of smokers?
a) the expected number of smokers is 21.6, and
b) the standard deviation of the number of smokers is approximately 4.21.
a) To find the expected number of smokers, you need to multiply the probability of a student being a smoker (18% or
0.18) by the number of students surveyed (120). So, the expected number of smokers is:
Expected number of smokers = 0.18 × 120 = 21.6
b) To find the standard deviation of the number of smokers, you can use the formula for the standard deviation of a
binomial distribution, which is:
Standard deviation = √(n × p × (1 - p))
where n is the number of students surveyed, p is the probability of a student being a smoker, and (1 - p) is the
probability of a student not being a smoker. Plug in the values:
Standard deviation = √(120 × 0.18 × (1 - 0.18)) = √(120 × 0.18 × 0.82) ≈ 4.21
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U is the midpoint of line segment XY. if XU=6x-7 and UY=4x+9, find the value of x and the measure of XY.
Answer:
Since U is the midpoint of XY,\(XU = UY\\or, 6x-7 = 4x+9\\or, 6x - 4x = 7+9\\or, 2x = 16\\or, x = 8\\XY = XU +UY = 6x - 7 + 4x +9 = 10x+2 = 10(8) +2 = 82\)