Answer:
\(\huge\boxed{\sf x = 49\°}\)
Step-by-step explanation:
Right triangle:Triangle having an angle of 90 degrees is known as right triangle.Solution:Let the unknown angle be x.
So, in a right triangle, one angle should be 90 degrees.
The other angle is 41 degrees.
The measure of internal angles of a triangle add up to 180 degrees.So,
90 + 41 + x = 180
131 + x = 180
Subtract 131 from both sides
x = 180 - 131
x = 49°\(\rule[225]{225}{2}\)
The perimeter of the triangle is the same as the perimeter of the square.
3x – 4
5x - 6
2x - 2
Calculate the area of the square.
Your answer
Answer:
add 4, 6 and 2
you will get 12
a aware is even with four sides so divide by 4
12/4 =3
area of square = sxs
3×3 = 9
What is graph for the equation y=-4x+1
Answer: The line starts at 1 positive, then from there go -4 (so go to the left) then 1 down from that point.
Step-by-step explanation: the problem is supposed to have been Y= -4/1 +1
Let f(x) = logx
What is the average rate of change of f(x) from 4 to 6?
Round to the nearest hundredth.
(a.) 0.09
(b.) 0.18
(c.) 0.20
(d.) 0.41
(a.) 0.09
equation:
f(x) = log(x)
rate of change:
\(\sf \rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}\)
\(\sf \rightarrow \sf \dfrac{log(4) -log(6)}{4-6}\)
\(\sf \rightarrow 0.088\)
\(\sf \rightarrow 0.09\)
Answer:
\(A.\: 0.09\)
Step-by-step explanation:
Rate of Change is: \(\frac{y{_1-y{_2} } }{x_2-x_1}\)
\(\frac{log(4)-log (6)}{4-6}\)
\(0.088\)
\(0.09\)
Jackson has 2,000 baseball cards in his collection Gabe has 1/10 as many baseball cards in his collection as Jackson. how many baseball cards does Gabe have in his collection
Answer:
2200
Step-by-step explanation:
1/10 of 2000 is 200. add it on top of 2000
Multiply2/3 x 4/5. Write in simplest form. Does the first factor
increase or decrease?
Determina el valor de la variable de la siguiente ecuación.
6
x
−
15
=
3
x
+
10
The value of the variable in the given equation is x = 25/3.
To determine the value of the variable in the given equation, we need to solve it.
The equation is:
6x - 15 = 3x + 10
To simplify the equation, we can start by subtracting 3x from both sides:
6x - 3x - 15 = 3x - 3x + 10
This gives us:
3x - 15 = 10
Next, we can add 15 to both sides of the equation:
3x - 15 + 15 = 10 + 15
This simplifies to:
3x = 25
Finally, to isolate x, we divide both sides of the equation by 3:
(3x)/3 = 25/3
This gives us:
x = 25/3
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What's the place value of 3 in 19.364?
Answer:
Tenths
Hope this helps :)
Answer:
tenths
Step-by-step explanation:
A student takes a subway to a public library. The table shows the distance d (in miles) the student travels in t minutes. Determine whether the data can be modeled by a linear, exponential, or a quadratic function and then select a function rule to model the situation.
t
d
1
0.83
2
1.66
3
2.49
4
3.32
5
4.15
The linear function that models the situation is given as follows:
d = 0.85t.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The constant ratio for this problem is given as follows:
k = 0.83, as each division of d by t has a result of 0.83.
Hence the equation is given as follows:
d = 0.83t.
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Ron's dad warned Ron his son not to walk on the lawn when going to the gate. The lawn is a rectangle with sides of lengths 10 m and 16 m. When his dad is around, Ron obeys and walks around the edges of the lawn until he gets to the gate (path A) . When his dad is not around, Ron walks diagonally across the lawn (path B). How much further does Ron have to walk to get to the gate from the house when his dad is around? Give your answer correct to 2 decimal places.
The distance Ron have to walk to get to the gate from the house when his dad is around 33.13 m.
What is the distance walked by Ron?
From the question, Ron covers a distance equal to the perimeter of the rectangle:
P = 2(L + W)
P = 2(10 m + 16 m)
P = 52 m.
Also, when he walks diagonally across the lawn to get to the gate (path B), he covers a distance = hypotenuse of the rectangle
H = √(L² + W²)
H = √(10² + 16²)
H = √(356)
H = 18.87 m
The difference in distance between the two paths is calculated as;
d = 52 m - 18.87 m
d = 33.13m
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the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?
Answer: one senior ticket is $8 and one student ticket is $14
Hope this helps a little
In degrees, what is the measure of HMP?
will give branliest and Extra Points!
Answer:
The answer is 68
Step-by-step explanation:
You can find it by seeing 4x-20+x=90 because of the vertical angles and how you can see that it equivalates to 90 degrees.
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
Please help me. Thank you very much. (╹◡╹)
Answer and Step-by-step explanation:
First, you find the x-value of f(x) on the graph, and find the corresponding y-value.
On the graph, we see that when we go to the x-value of -7, we are at a y-value of 0. Now, we plug this in to the g(x) function and look for the y-value on the g(x) graph.
When 0 is plugged in for x in g(x), we get the y-value to be 5.
This means that the value of g(f(-7)) is 5.
#teamtrees #PAW (Plant And Water)
Please help will mark Brainly
Answer:
Graph c
Step-by-step explanation:
The graph is shirted 5 to the right. This is hard to see. The original graph should be going through (0,0). The new graph should be going through (0,5). I think that is graph C, but it is too small for me to see.
what is the length of segment ns
Given that x is equal to 1 and S is the centroid of the triangle NLQ, NS will have a length of 4 units.
What is centroid?The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition. The centroid of a triangle is the location where the triangle's three medians connect. It may alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
Here,
We may infer from the centroid's features that it divides each median in a ratio of 2:1.
NS=2SR
7x-3=2(5x-3)
7x-3=10x-6
3x=3
x=1
NS=7x-3
=7*1-3
=4 units
The length of NS will be 4 units as the value of x is 1 and S is the centroid of triangle NLQ.
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The graph of the function f(x) = (x − 3)(x + 1) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1, negative 4), and goes through (3, 0).
Which describes all of the values for which the graph is positive and decreasing?
all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3
The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
Which describes all of the values for which the graph is positive and decreasing?The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
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Hi how are you today can you please help me with this question
The minimum spanning tree is the one that connect every vertex just one time with the smallest length possible
In the picture, if we remove the segments CG, FG, CD, CF, HD and AK, we get the minimum spanning tree, with length KC + AB + BC + BE + ED + DF + FH + HG = 10 + 2 + 3 + 3 + 2 + 2 + 2 + 1 = 25 units
The sum of 4, five times a number, - 9, and four times a number
Answer:
Unreduced: (4) + (5 • x) + (-9) + (4 • x)
Reduced: 9x – 5
Solve 5x + 2y = 7
10x + 4y = 14 (1 point)
A- (2, 3/2)
B- Infinitely many solutions
C- (1,1)
D- No solution
how do i solve this problem
Answer:
5 sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 45 = x / 10
10 sin 45 = x
10 ( sqrt(2)/2) =x
5 sqrt(2) =x
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
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Jessica needs to know how much water her new fish tank can hold:
A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.
Determine the total volume of the fish tank.
The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
The volume of a rectangular prism can be calculated using the formula:
V = l x b x h..........(i)
where,
V ⇒ Volume
l ⇒ length
b ⇒ width
h ⇒ height
From the question, we are given the values,
l = 8 inches
b = 4 inches
h = 9 inches
Putting these values in equation (i), we get,
V = 8 x 4 x 9
⇒ V = 288 in³
Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
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PLEASE HELP ASAP AND ONLY IF YOU KNOW THE CORRECT ANSWER
Find the missing angle measures.
Answer:
100
Step-by-step explanation:
triangles are equal to 180 degrees so in the one triangle 180-50-50=80 so that missing angel is 80 and then to creat a straight line between the missing angle m<1 and the 80 you subtract the two 180-80=100 leaving the missing angle to be 100
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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eight less than six times time a number is 56
Answer:
6 x X = 56 - 8
Step-by-step explanation:
X is a variable btw
NO LINKS!!
The revenue from selling x units of a product is R = 29.13x. The cost of producing x units is C = 16.4x + 200,000. To obtain a profit, the revenue must be greater than the cost. For what values of x does this product return a profit?
a. x ≥ 16,069
b. x < 15,711
c. x > 16,069
d. x > 15,711
e. x ≤ 15,711
Answer:
the values of x for which the product returns a profit are x > 15,711. The correct answer is therefore option (d).
Step-by-step explanation:
To find the values of x for which the product returns a profit, we need to set the revenue equal to the cost and solve for x.
R = C
29.13x = 16.4x + 200,000
12.73x = 200,000
x = 15,711
Therefore, the values of x for which the product returns a profit are x > 15,711. The correct answer is therefore option (d).
x > 15,711, answer d.
Step-by-step explanation:1. Analyze.
To find the values where the function of revenue surpasses the function of cost, we must find the point where they both meet (the amount of products that make the functions return the same value) and return an answer based on that.
2. Write both functions in terms of "x" and "y".\((1)y=29.13x\\\\ (2)y=16.4x+200000\)
3. Solve one of the functions for one of the variables.For this solutions, we are taking equation 1, which is already solved for "Y".
\((1)y=29.13x\)
4. Take the value of "y" and substitute it into equation 2.\((29.13x)=16.4x+200000\)
5. Solve for "x" in order to find a value for it.\(29.13x-16.4x=16.4x+200000-16.4x\\ \\12.73x=200000\\ \\\frac{12.73x}{12.73} =\frac{200000}{12.73} \\ \\x=15710.92\\ \\x=15711\)
6. Verify.We must verify that from the calculated value of "x" (15711) the revenue function returns values greater than the cost function. Otherwise, selling more than 15711 would be counter productive. For that, we plug any value greater than 15711 in both of the equations and calculate the resulting value. Let's use the value of 20000 for this demonstration.
\((1)29.13(20000)=582600\\\\ (2)16.4(20000)+200000=528000\)
The results indicate that the sell of 20,000 units returns more capital than the cost of selling said amount of units. Therefore, selling any amount of units greater than 15711 will generate profit.
7. Conclude.Given that "x" is the amount of products sold, in units, and that the equation of revenue and cost intersect on that point, any value of "x" that's greater than 15,711 will return profit to the business. In mathematical notation: x > 15,711, answer d.
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A container has the shape of an open right circular cone, as shown in the figure above. The container has a radius of 4 feet at the top, and its height is 12 feet. If water flows into the container at a constant rate of 6 cubic feet per minute, how fast is the water level rising when the height of the water is 5 feet?
If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min
How to find the rate of change?When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.
We are given the dimensions of the tank as;
Radius; r = 4 feet
Height; h = 12 feet.
The water in the tank will also have a conical shape.
By similar triangles, we know that;
r/h = 4/12
r = h/3
Now the volume of the water is;
V = ¹/₃πr²h
Put h/3 for r in this volume equation to get;
V = ¹/₃π(h/3)²h
V = (1/27)πh³
Differentiating with respect to time gives;
dV/dt = (3/27)πh²(dh/dt)
We are given;
dV/dt = 6 cubic feet per minute
h = 5
Thus;
6 = (3/27)π(5²)(dh/dt)
dh/dt = 0.688 ft/min
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The local newspaper has letters to the editor from 30 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
750
Step-by-step explanation:
You would divide 30 by 4 to get 1% then multiply by 100 to get the total amouny of readers
Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)
Answer:
B) (-6,5)
Step-by-step explanation:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
what is71 3/4 over 100 as a decimal
pls explain
Answer:
3 71/100 = 3.71
Step-by-step explanation:
To convert this mixed number (fraction) to a decimal just follow these two steps:
Step 1: divide numerator (71) by the denominator (100): 71 ÷ 100 = 0.71
Step 2: add this value to the the integer part: 3 + 0.71 = 3.71. So,
3 71/100 = 3.71
im not quite sure how to explain it, because im a very messy worker, but I got 71.75. If youre looking for someone to explain it, im not it lol.