The distance from the base of the arch to Priya is 528.6 feet.
Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.
Let d represent the distance from the base of the arch to Priya, hence:
\(tan(50)=\frac{630}{d} \\\\d=\frac{630}{tan(50)} \\\\d=528.6\)
The distance from the base of the arch to Priya is 528.6 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/4326804
hey! how was ur day??
Answer:
Good, hope yours is going on well!
X = 10
Step-by-step explanation:
\((8x + 10)
= (6x + 30)
° \: \: (alternate \: angles) \\ (8x - 6x) = (30 - 10)
\\ 2x = 20 \\ x = \frac{20}{2} \\ x = 10\)
Answer: it was good!
X= 10
Step-by-step explanation:
I’ve been trying to figure this out
As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.
What does the term function mean?Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on
Here,
Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.
This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.
The asymptotes for the vertical slope are x = -4,
The horizontal asymptotes are Y = 0 and.
Slant has an asymptote of Y = x -4.
An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.
As a consequence, the solution to the given function problem is slant sampling points, which are y.
To learn more about the function, visit:
brainly.com/question/28193995
#SPJ1
i need helpppppp i have no idea what im looking at lol
The correct answer is option B which is \(SinA = \dfrac{4}{5}\) , \(tanA = \dfrac{4}{3}\) ,\(SecA=\dfrac{5}{3}\),
\(CosA=\dfrac{3}{5}\),\(CotA=\dfrac{3}{4}\) and \(CscA=\dfrac{5}{4}\).
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
From the figure we can see that two sides are Ab = 15 cm and BC = 12 cm third side will be calculated by pythagorean theorem.
AC² = AB² - BC²
AC² = 15² - 12²
AC² = 81
AC = √81
AC = 9 cm
Now all the trigonometry identities are:-
\(SinA =\dfrac{BC}{AB}=\dfrac{12}{15}= \dfrac{4}{5}\) ,
\(tanA =\dfrac{BC}{AC}=\dfrac{12}{9}= \dfrac{4}{3}\) ,
\(SecA=\dfrac{AB}{AC}=\dfrac{15}{9}= \dfrac{5}{3}\),
\(CosA=\dfrac{AC}{AB}=\dfrac{9}{15}= \dfrac{3}{5}\),
\(CotA=\dfrac{AC}{BC}=\dfrac{9}{12}=}\dfrac{3}{4}\)
\(CscA=\dfrac{AB}{BC}=\dfrac{15}{12}= \dfrac{5}{4}\).
Therefore correct answer is option B which is \(SinA = \dfrac{4}{5}\) , \(tanA = \dfrac{4}{3}\) ,\(SecA=\dfrac{5}{3}\),\(CosA=\dfrac{3}{5}\),\(CotA=\dfrac{3}{4}\) and \(CscA=\dfrac{5}{4}\).
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ1
10. Leo runs the 100-meter dash in 19.305
seconds. Explain and show how you can
write an expression in expanded form
for the decimal that shows more than 0
hundredths.
The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005
How to write in expanded form ?He runs the 100 meters dash in 19.305 seconds.
Therefore, the seconds he runs the race can be represented in expanded form as follows:
Expanded form is a way to write a number by adding the value of its digits.
We can use a place value chart to think of the value of a number's digits.
Therefore,
19.305 in expanded form is as follows:
19.305 = 10 + 9 + 0.3 + 0.00 + 0.005
learn more on expanded form here: https://brainly.com/question/199541
#SPJ1
What percent is represented by this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
%
The percent that is represented by the shaded squares in this 20-square grid is 90%.
How to calculate the percentage?From the information, it was illustrated that the bar diagram has 18 shaded squares and 2 unshaded squares. In this case, the total value of the square will be:
= Shaded part + Unshaded part.
= 18 + 2
= 20
Therefore, the percentage for shaded part will be:
= Shaded part / Total part × 100
= 18/20 × 100
= 90%
The percentage is 90%.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
Complete question
What percent is represented by the shaded squares in this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
%
Answer:
The correct answer to your question .....What percent is represented by this 20-square grid?
Is BELOW
Step-by-step explanation:
What percent is represented by this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
% is 90%
Have great day/week.
can someone pleaseeeeee help me with this??!!
Answer:
49
Step-by-step explanation:
Answer:
The answer is 49 :)
Step-by-step explanation:
Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range.
f(x) =x^2 +12x+6
What is the vertex?
What are the x-intercepts?
What is the y-intercept?
what is the axis of symmetry?
Identify the function's domain
Identify the function's range.
The Vertex is : (-6, -30)
The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)
The Y-intercept is : (0, 6)
The Axis of symmetry is : x = -6
The functions Domain: is All real numbers
The Range is : All real numbers greater than or equal to -30.
To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.
To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)
In this case, a = 1, b = 12, and c = 6.
Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.
To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)
So, the vertex is (-6, -30).
To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)
Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.
Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).
The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)
Thus, the y-intercept is (0, 6).
The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.
The domain of the function is all real numbers since there are no restrictions on the possible input values of x.
To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.
Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).
As a result, the range of the function is all real numbers greater than or equal to -30.
For similar question on Vertex.
https://brainly.com/question/25651698
#SPJ8
solve r/13.7 = 5 for x
please help asap
Answer: x=68.5
Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.
Which of the following equations is equivalent to 4x-2=38
A. 5x=-50
B. X-20=30
C. 5x=50
D. 2x=10
Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
11.10
Step-by-step explanation:
may be not sure about it
Answer:
1:6
Step-by-step explanation:
1 year = 12 months
4 year = 4 × 12 months
= 48 months
Baby = 8 months
Elder sister = 48 months
B : ES
8 : 48
÷8:÷8
1 : 6
5(z+1) = 3(z+2) + 11Solve for Z
This equation an eqaution with brackets with a simple variable z
We will first of all expand the brackets by multiplying through
The question states that,
\(\begin{gathered} 5(z+1)=3(z+2)+11 \\ By\text{ expanding the brackets we will have,} \\ 5z+5=3z+6+11 \\ 5z+5=3z+17 \\ By\text{ collecting like terms we will have} \\ \end{gathered}\)\(\begin{gathered} 5z-3z=17-5 \\ 2z=12 \\ \text{divide both sides by 2} \\ \frac{2x}{2}=\frac{12}{2} \\ x=6 \end{gathered}\)Hence,
The value of x = 6.
The correct answer is Option C
Solve the equation.
x^2 − 4x + 4 = 3
These 10 blocks are separated into 2 groups. Which equation represents how to find the number of blocks in each group?
A. 10 ÷ 2 = 5
B. 10 ÷ 5 = 2
C. 5 ÷ 2 = 10
D. 2 ÷ 5 = 10
Answer:
A) would be the answer
Step-by-step explanation:
this is the answer because 2 groups with 10 blocked all together has to have 5 blocks each group, also 5+5=10
WILL MARK BRAINLIEST Find the coordinates of the points of intersection of the graphs with coordinate axes: c y=− 1/4 x+2
Answer:
the y intercept is (0,2) and x intercept is (8,0)
Hope this helps
Picture linked
Neil places £2000 in a bank account that pays 1.5% simple interest per year.How much interest will he earn in 6 years?
Answer:
£ 180Solution,
Principal( P)= £ 2000
Rate (R)= 1.5%= 1.5/100
Time (t)= 6 years
Interest=?
Now,
\(interest = principal \times rate \times time \\ \: \: \: \: = 2000 \times \frac{1.5}{100} \times 6 \\ \: \: = 180\)
Therefore, he will earn £ 180 in 6 years.
Hope this helps..
Good luck on your assignment..
The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
for such more question on sphere
https://brainly.com/question/28228180
#SPJ11
what are the values of x and z in the solution system of linear equations below? -3x-2y+4z = -16 10x+10y-5z=30 5x+7y+8z=-21
Answer:
first thing, take 3 pairs of equations and in each pair, make any one variable's coefficient equal to the coefficient of the same variable in the other equation and subtract the equations.
you will get 3 different equations:
x+y = 1
- 4x - 21z = 72
-x + 3z = -10 (simplified)
now take the value of x and y from equation 2 and 3 in terms of z and substitute x and y with those values
y = (72 + 21z)/-4
x = 3z + 10
as x + y = 1
you will get z = -4 after sloving the equation
now you have the value of one of the variables..
now we will substitute z in the equations to get the other variables
x = 3z + 10
x = 3(-4) + 10
x = -12 + 10
x = -2
Now y:
72+21(-4)/-4
(72 - 84)/-4
-12/-4
y = 3
so,
z = -4
x = -3
y = 3
I assume that it's brainly enough
Answer:
x= -2, z= -4
Step-by-step explanation:
-3x-2y+4z = -16
10x+10y-5z=30 ⇒ 2x+2y-z=6 ⇒ 14x+14y-7z=42
5x+7y+8z=-21 ⇒ 10x+14y+16z= -42
Add up the first one with the second:
-3x-2y+4z = -16
+
2x+2y-z=6
-------
-x+3z= -10 ⇒ x= 3z+10
Subtract the last one from the second:
14x+14y-7z=42
-
10x+14y+16z= -42
------------
4x-23z=84Replace x with 3z+10
4(3z+10)-23z= 8412z+40-23z=84-11z= 84-40-11z=44z= 44/-11z= -4x=3*(-4)+10= -2write y+4=-2(x-1) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
Pythagorean Theorem
A rectangular park is 8 miles long and 6 miles wide. How
long is a pedestrian route that runs diagonally across the
park?
In this discussion, you will need to provide the solution
to the problem explaining the intermediate steps you
used in the process.
Answer:
10 miles
Step-by-step explanation:
The Pythagorean Theorem states a^2+b^2=c^2
So, (8^2)+(6^2)=c^2
64+36=100
Square root of 100=10
Samantha's age is 3 years more than half her uncle's age. If her uncle's age is z years, which of the following expressions best shows Samantha's age?
Answer:
See below
Step-by-step explanation:
z = uncle's age
1/2z +3 = Sam's age
Solve for S in CM=S−VC
Answer:
S = CM + VC.
Step-by-step explanation:
CM=S−VC
Add VC to both sides of the equation:
CM + VC = S - VC + VC
The VC's are removed from the right side so,
S = CM + VC.
PLZ HELP I"LL GIVE BRAINLIEST TO THE BEST ANSWER AND 5 STARS AND A THANKS. PLZ ITS IN THE PICTURE!!!
Answer:
The constant of proportionality is 1/3.
Step-by-step explanation:
You can find this answer by taking two coordinates shown and put them into a fraction form.
Example:
The second coordinate is (2, 6)--> 2/6, which reduced is 1/3.
To test that 1/3 is correct, you can do another coordinate: (4, 12)-->4/12, which reduced is also 1/3.
So 1/ 3 is correct.
Or take a look at the graph...
the red lines are always two units across, and the blue lines are always six units in height. So 2/6, (length, height), which can be reduced to 1/3, the constant of proportionality.
Find the slope of the line that passes through (5, 3) and (8, 2).
The slope of the line passing through the points (5, 3) and (8, 2) is -1/3.
To find the slope of the line passing through the points (5, 3) and (8, 2), we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates of the given points into the formula:
x1 = 5, y1 = 3
x2 = 8, y2 = 2
slope = (2 - 3) / (8 - 5)
Calculating the numerator and denominator:
slope = -1 / 3
Therefore, the slope of the line passing through the points (5, 3) and (8, 2) is -1/3.
Note: The slope represents the rate of change between the y-coordinates and x-coordinates of two points on a line. In this case, for every 3 units increase in the x-coordinate, the y-coordinate decreases by 1 unit.
For more questions on slope
https://brainly.com/question/16949303
#SPJ8
h ft
5 ft
30 ft
6 ft
A. 20
B.25
C.23
D.30
Please help!!
Answer:
25ft
Step-by-step explanation:
You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:
30/6=5
Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:
5 x 5=25
I hope this helped you!
How many area codes (ABC) would be possible if the first 2 digits can be any number 1-9 & last digit can be any number 4-7? just type in the answer
1st digit can be 1-9 which is 9 numbers
2nd digit can be 1-9 which is 9 numbers
3rd digit can be 4-7 which is 4 numbers.
Total combinations = 9 x 9 x 4 = 324
How do i solve for the x????
Answer: 41.81 °
Step-by-step explanation:
For this question we know the opposite side of x and the hypotonuse , so we can use sin. Then you must write an equation: sin x = 4/6 .
Afterwards, you must multiply both sides of the equation with inverse sin so the equation will now look like: sin‾¹ * sin x = sin‾¹ (4 / 6)
The inverse sin cancels out the sin thats x, so: x = sin‾¹ (4/6)
Type sin‾¹ (4/6) in your calculator to get your angle value. Make sure your calculator is in degrees mode, by default calculators are set to radians( radians are another way to represent angles)
Hot dog rolls are priced at 2 packages for $1.12 . How many packages can be bought for $3.36?
This is Direct proportions.
Answer:
6 I dont know I think thats it
You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?
Answer: .12 grams of butter per cupcake
Step-by-step explanation:
1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
for such more question on function
https://brainly.com/question/13473114
#SPJ8
Elsevier logo el Home
Find the area of the combined rectangles.
9 ml
1 2 3 4
The area is
11 ml
19 ml
square miles.
2 ml
8 ml
5
7 ml
To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?