Answer:
29. 59.06°
30. 10.6
Step-by-step explanation:
29.
By using the Tangent angle rule, we can find the angle of elevation,
We know that
Tan Angle = opposite/adjacent
Tan x=AB/BC
Tan x=20/12
Tan x=5/3
\(x=Tan^{- }(\frac{5}{3})\)
x=59.06°
30.
The law of sine is a formula that can be used to find the lengths of the sides of a triangle, or to find the angles of a triangle, when two sides and the angle between them are known. The formula is:
a / sin(A) = b / sin(B) = c / sin(C)
Here taking
a / sin(A) = c / sin(C)
here A=75°, C=180-75-50=55° and c -9 and
we need to find a,
substituting value
a/Sin(75°)=9/Sin(55°)
a=9*Sin(75°)/Sin(55°)
a=10.61
Therefore, the value of a is 10.6
Answer:
Question 29: Angle of Elevation is -------> 59.0°Question 30: The length of side A in --------> △ABC is approximately 10.3Step-by-step explanation:Question 29: In this question, we can use the tangent function to solve the problem. We can set the Sun's elevation angle as theta (θ). Then we can get the equation:
tan (θ) = 20/12, and solve for θ
Solve the problem:We can draw a right triangle with the tree, the shadow, and the Sun.The tree's height is the opposite side, and the length of the shadow is the adjacent side.The angle of the sun's elevation is the angle between the ground and the line from the top of the tree to the sun.We can set the angle of elevation of the sun as theta (θ).We then get the equation tan (θ) = 20/12
We can solve for theta (θ) using the equationθ = arctan(5/3)
We can use a calculator to find that: Let the angle of elevation = θTan θ = opp/adj
Tan θ = 20/12
θ = Tan^-1 (20/12)
θ = 59.03624346 degrees
θ = 59.0 degrees
Draw the conclusion:Hence, the Angle of Elevation is -------> 59.0°
Question 30: △
m < C = 180 degrees - m<A - m<B
m<C = 180 degrees - 75 degrees - 50 degrees
Simplify:
m<C = 55 degrees
Apply the Law of Sines:
a/sin A = c/sin C
Substitute the values:
a/sin 75 degrees = 9/sin 55 degrees
Solve for A:
a = 9 * sin 75 degrees/sin 55 degrees
Calculate the value of A:a = 10.3
Draw a conclusion:Therefore, The length of side A in --------> △ABC is approximately 10.3
Hope this helps you!
Please help me. Please.. I will give Brainliest.
answer :
b.4
c.0.8464
d.29791
e. 9
f. 0.023104
Answer:
(I will do 3 of these for you and if you still do not understand I will do the rest)
Step-by-step explanation:
Keep in mind that when they put the exponent you will have to multiply that number that many times. Ex. (3)² = 3 x 3
b. 14/7 x 14/7 = 14/49 = 14/19 = 2/7
c. 0.92 x 0.92 = 0.8464
d. 31 x 31 x 31 = 29791
Hope this helps :)
Tim left a $9 tip for a $50 restaurant bill. What percent tip did he leave?
Answer:
18%
Step-by-step explanation:
9=(p)(50)
9=50p
Divide both sides by 50
9/50=0.18
Remember to move the decimal over
p=18%
Use the graph of g to find g(x) = 3.
pls help solve quick!
By using the graph of g, the solution to g(3) is equal to 8.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
What is a domain?In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.
When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;
g(3) = 8.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
HELP WILL GIVE BRAINLIEST IF CORRECT
16x5=? then its the answer to that question x 128 please help I need to get this right.
Please help I will give the most points
Answer:
7
Step-by-step explanation:
The format for a coordinate pair is (x-coordinate, y-coordinate). This means the y-coordinate comes second, and since the 7 comes second here we can say that 7 is the y-coordinate.
That is the answer
- Kan Academy Advance
Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1
Answer:
More than likely no full answer key however there might be answers for each individual question.
GEOMETRY FIND THE ANGLE 15 POINTS
Answer:
83
Step-by-step explanation:
4x - 8 + 24 = 180
4x = 180 - 16
x = 41
2x + 1 = 83
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
What is the value of s?
units
ITS TIMED HELP ASAP PLES
What is the following product?
45
0 )
(2)
0 (-)
Answer:
Step-by-step explanation:
it's c
3^3 * 2^3*5
Choose yes or no to tell whether the equation has the given solution 1/4×+3=3=4×+ 1,x=8
Answer:
\(\large\boxed{\tt No.}\)
Step-by-step explanation:
\(\textsf{We are asked to determine if the equation has a solution given a value.}\)
\(\textsf{Since x is given to us, we can use the \underline{Substitution Property of Equality} to evaluate}\)
\(\textsf{the equation.}\)
\(\large\underline{\textsf{What is the Substitution Property of Equality?}}\)
\(\textsf{The Substitution Property of Equality is a Property that allows us to substitute}\)
\(\textsf{a known term, or expression for an unknown variable, or some kind of placeholder.}\)
\(\textsf{After Substitution, we can prove that the expressions are still equal with this}\)
\(\textsf{property.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\tt \frac{1}{4} x + 3 = " 3 = " 4x+1\)
\(\textsf{There's likely a typo in your equation given, hence I will fix it.}\)
\(\tt \frac{1}{4} x + 3 = 4x+1\)
\(\textsf{Substitute 8 for x in both sides of the equation using our property.}\)
\(\underline{\textsf{Use the Substitution Property of Equality;}}\)
\(\tt \frac{1}{4} (8) + 3 = 4(8)+1\)
\(\underline{\textsf{Follow PEMDAS, multiply first;}}\)
\(\tt 2 + 3 = 32+1\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt 5 \neq 33\)
\(\textsf{If the "typo" was the actual equation;}\)
\(\tt 5 \neq 3 \neq 33\)
\(\large\boxed{\tt No.}\)
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the annual percentage rate is 15.6% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.
Given:
Average daily balance for November = $700
Unpaid balance at the end of November = $1,400
Annual percentage rate (APR) = 15.6%
Step 1: Calculate the interest charged for the month of November.
Interest = (Average daily balance * APR * Number of days in the month) / 365
Number of days in November = 30
Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)
Step 2: Add the interest to the unpaid balance to get the total balance on December 1.
Total balance = Unpaid balance + Interest
Total balance = $1,400 + $36.44 = $1,436.44
Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).
The total balance on the next billing date December 1 is $1,509.20.
What is an annual percentage rate?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).
Given,
The average daily balance of a credit card for November = is $700Unpaid balance at the end of the month = $1,400The annual percentage rate = 15.6%Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700
\(\sf = \$109.20\)
Balance on 1st December = unpaid balance at the end of November + percentage rate
\(\sf = $1400 +$109.20\)
\(\sf =\$1509.20\)
Therefore, the total balance on the next billing date December 1 is $1,509.20.
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Please help! I don't know how to do slopes.
The slope of the given line in the image is -4 , Option A is the answer.
What is the equation of a straight line ?The equation of the straight line is given by
y =mx +c ,
Where m is the slope , C is the intercept
The line is passing through the point
(-1,8) ,(2,-4)
The slope is given by
m = (y₂-y₁) /(x₂-x₁)
m = (-4 - 8 )/(2 +1)
m = -12/3
m = -4
Therefore the slope of the given line in the image is -4 , Option A is the answer.
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Which expression that is equivalent to 3/5 (3y + 15)
Answer:
did u forget to add an attachment
I need to know what the x intercept(s) of the function
Answer:
i think it is (x-5) (x-1) (x+1) (x+3)
Step-by-step explanation:
f(x)=x 4 −2x 3 −16x 2 +2x+15=±15,±5,±3,±1=x=1=x 3 −x 2 −17x−15=0=
x 2 −2x−15=0=x= 2 2±8=x=−3 x=5= (x-5) (x-1) (x+1) (x+3)
Renee placed some holiday gifts in layaway. The combined price of the items was $318.95. The store charges a 5% layaway fee and requires a 10% down payment. She must pay 15% of the item price each week for six weeks. Determine the layaway fee, down payment, and amount of Renee's weekly payments.
Renee’s layaway fee is $15.95, her down payment is $31.90, and her weekly payments are $7.98 each.
We are given that;
Combined price of the items = $318.95
Layaway fee=5%
Down payment=10%
Now,
A percentage is a minimum number or ratio that is measured by a fraction of 100.
The layaway fee by multiplying the item price by 5%. The formula is: layaway fee=item price×0.05
The down payment by multiplying the item price by 10%. The formula is: down payment=item price×0.1
Calculate the weekly payment by multiplying the item price by 15% and dividing it by 6. The formula is: weekly payment=6item price×0.15
Plugging in the given values and simplify the expressions. Here are the calculations:
layaway fee=318.95×0.05=15.95
down payment=318.95×0.1=31.90
weekly payment=6318.95×0.15=7.98
Therefore, by percentage the answer will be $15.95, $31.90, and $7.98
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Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
At a school there are six lessons in a day.
In total, the six lessons last for five hours.
Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Answer:
the answer is about 50 minutes
Step-by-step explanation:
5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins
Priya says, "I know everything about a right triangle with a 30 degree angle and a hypotenuse with length 1 cm. Here look."
Priya is referring to a special right triangle, specifically an equilateral triangle that has been cut in half.
In this triangle, all three angles are equal to 60 degrees, and each side has the same length.
Therefore, if the hypotenuse (which is also the longest side) of the right triangle is 1 cm, then each of the other two sides has a length of 1/2 cm. The leg adjacent to the 30-degree angle is the shorter of these two sides, and its length can be found using the trigonometric function cosine, which relates the adjacent side to the hypotenuse.
In this case, cos(30 degrees) = adjacent/hypotenuse, which simplifies to sqrt(3)/2 = adjacent/1, or adjacent = sqrt(3)/2 cm ≈ 0.866 cm.
The side opposite the 30-degree angle is the longer of the two shorter sides, and its length can be found using the trigonometric function sine, which relates the opposite side to the hypotenuse.
In this case, sin(30 degrees) = opposite/hypotenuse, which simplifies to 1/2 = opposite/1, or opposite = 1/2 cm = 0.5 cm.
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Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
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Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27). f(x) = -x3 - 4x2 + 3x. Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)
The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.
To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.
Now, let's evaluate f'(x) for each of the given x-values:
f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8
f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25
f'(0) = -3(0)^2 - 8(0) + 3 = 3
f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8
f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0
f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13
From the values above, we can determine the intervals where f(x) is decreasing:
f(x) is decreasing for x in the interval (-∞, -3).
f(x) is decreasing for x in the interval (1, 2).
Now let's check the ordered pairs in the table:
(-1, -6): Not in a decreasing interval.
(2, -18): Not in a decreasing interval.
(0, 0): Not in a decreasing interval.
(1, -2): In a decreasing interval.
(-3, -18): In a decreasing interval.
(-4, -12): Not in a decreasing interval.
Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).
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Note the complete and the correct question is
Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).
\(f(x) = -x^3 - 4x^2 + 3x\).
Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)
The force F (in pounds) needed on a wrench handle to loosen a certain bolt varies inversely with the length L (in inches) of the handle. A force of 40 pounds is needed when the handle is 7 inches long. If a person needs 20 pounds of force to loosen the bolt, estimate the length of the wrench handle. Round answer to two decimal places if necessary.
in inches
Answer:
14 inches
Step-by-step explanation:
Since F is inversely proportional to L,
\(f = \frac{k}{l} \\ when \: f = 40 \: l \: = 7 \\ \frac{k}{7} = 40 \\ k = 280 \\ when \: f = 20 \\ 20 = \frac{280}{l} \\ l = 14\)
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
What is the exact length of HG in cms
The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.
Considering angle G, lets find sin 45°\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)
[ sin 45° = 1/√2 ]
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)
So, the side HG is b√2 cm long
{1, √2, √√3, 2, √5, ...}
need help knowing the sequence and the 3 next terms
Answer:
3, 2√2, √7
Step-by-step explanation:
compute the square roots of the next three prime numbers:
√7
√11
√13
Therefore, the next three terms of the sequence are:
{1, √2, √3, 2, √5, √7, √11, √13}
chatgpt
chat
Solve
7x = 42
x = 294
x = 35
x = 6
x = 49
Answer:49
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
7 x 6 = 42 making the answer 6 true.
I don’t understand this
Answer:
C = $4.88p
Step-by-step explanation:
You multiply the number of cheese pounds(p) by the cost of the pounds($4.88)
And you will get your total
Hope this helps!
Find CD
с=42 degrees
D= 6 degrees
Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin
After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.
When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.
The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.
Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.
The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.
It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.
The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.
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