The value of x and y in the right triangle are 11.31 units and 8 units respectively.
The tangential ratio of ∠P and ∠Q are 16 / 12 and 12 / 16 respectively.
How to find the side and angle of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios as follows:
tan 45 = opposite / adjacent
tan 45 = 8 / y
cross multiply
y = 8 / tan 45
y = 8 /1
y = 8 units
Therefore,
sin 45 = opposite / hypotenuse
sin 45 = 8 / x
cross multiply
x = 8 / sin 45
x = 11.313816999
x = 11.31 units
Let's find the tangent ratio of ∠p and ∠q.
Hence,
tan ∠P = 16 / 12
tan ∠Q = 12 / 16
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Please help me this is my final!!!
Answer:
105
Step-by-step explanation:
900 degrees in a heptagon
Can someone help me with this math homework (8th grade algebra)
What do you need help with. I will do it
If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left
Answer:
D. 4 units to the left
The transformation of the function will be 4 units to the left. The correct option is D.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.
Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.
When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).
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One of the legs of a right triangle measures 7 cm and its hypotenuse measures 11 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
8.5 inches
Step-by-step explanation:
7^2 + b^2 = 11^2
b^2 = 72
hence b = 8.5
The Spanish club sold hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale the price was reduced by 25%. What was the new price for a hot pretzel?
What is the image point of (-9, -2) after the transformation Rx-axis T-1,3?
Answer:
Step-by-step explanation:
4QWWQWQWQ
A line passes through the point (-1,-2) and has a slope of
-5.
Write an equation in slope intercept form for this line.
Answer:
y = - 5x - 7
Step-by-step explanation:
A line has a function:
y = ax + b
Because the line has a slope of - 5
=> a = - 5
=> y = - 5x + b
Because the line goes through point (- 1; - 2)
=> - 2 = (- 5).(- 1) + b
=> 5 + b = - 2
=> b = - 7
=> The slope intercept from of the line:
y = - 5x - 7
I NEED HELP WITH THIS I CANT GET IT HELPP
Answer:
see explanation
Step-by-step explanation:
(a) No
12.75 + 12.75 = 25.5 ≠ 0
(b) No
\(\frac{1}{2}\) = 0.5 and
0.5 + 0.5 = 1 ≠ 0
(c) Yes
The absolute value always gives a positive value , so
| - \(\frac{3}{2}\) | = \(\frac{3}{2}\) , and
\(\frac{3}{2}\) - \(\frac{3}{2}\) = 0
(2)
note + (- ) is equivalent to - , that is subtraction
- 13 + (- 5) = - 13 - 5 = - 18
Answer:
1.
a. no
b. no
c. yes
2.
-13+(-5)= -18
Step-by-step explanation:
Find the exact value of the logarithmic expression without a calculator. Show all work
log3 4√27
Answer:
3/4 or 0.75
----------------------
Given expression
\(log_3\ \sqrt[4]{27}\)Find its value using logarithm rules:
\(log_3\ \sqrt[4]{27} =log_3\ \sqrt[4]{3^3} =log_3\ 3^{3/4}=3/4\ log_3\ 3=3/4\)The rules used above:
\(log_a\ a=1,\ log_a\ b^c=c\ log_a\ b\)please help if u know the answers quarter ends in two days !!!
Answer:
5A) radius = 9 ft
5B) diameter = 18 ft
5C) fencing length = 56.52 ft
5D) 6.35 days
Step-by-step explanation:
Radius is given when it is 9 ft of rope (outside to center of circle)
Diameter is two times radius = 18.
Circumference(fence length) = 2 * 3.14 * 9 = 56.52.
Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35
If my answer is incorrect, pls correct me!
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6c + 7c +7c + 8c + 9c nesesito de su ayuda plis
Answer:
37c
Step-by-step explanation:
6c+(7c+7c)+8c+9c
6c+14c+(8c+9c)
6c+(14c+17c)
6c+31c
37c
Which statement about the following sequence is true?
-10, -3, -10, -3, -10, ...
It is arithmetic.
It is geometric.
It is neither arithmetic nor geometric.
The statement about the sequence that is true is (c) It is neither arithmetic nor geometric.
How to determine the true statement?The sequence is given as
-10, -3, -10, -3, -10, ...
Test for arithmetic sequence:
An arithmetic sequence is any seqeunce that has a common difference
The sequence -10, -3, -10, -3, -10, ... does not have a common difference
This is so because the first two terms are repeated through out
Test for geometrics equence:
A geometric sequence is any seqeunce that has a common ratio
The sequence -10, -3, -10, -3, -10, ... does not have a common ratio
This is so because the first two terms are repeated through out
Hence, the true statement is (c)
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(a) consider the following algorithm segment. for i := 1 to n − 1 p := 1 q := 1 for j := i 1 to n p := p · c[j] q := q · (c[j])2 next j r := p q next i
This algorithm segment calculates the geometric mean of the elements in the array c. It does this by iterating over all possible pairs of elements in the array, multiplying the numerator and denominator of the geometric mean calculation by each element in turn, and accumulating the results in the variables p and q.
The final result is then calculated by dividing p by the square root of q. This algorithm has a time complexity of O(n^2) because it contains two nested loops that iterate over the array c.
It appears that wehave an algorithm segment and would like an explanation that includes specific terms. The algorithm segment provided can be described as follows:
1. Initialize two variables, 'p' and 'q', both set to 1.
2. Iterate through the range of 1 to (n-1) using the variable 'i'.
3. For each 'i', iterate through the range of (i+1) to 'n' using the variable 'j'.
4. During the inner loop, update 'p' by multiplying it with the value of 'c[j]' (an element of an array 'c') and update 'q' by multiplying it with the square of 'c[j]'.
5. After completing the inner loop, calculate 'r' by dividing 'p' by 'q'.
6. Proceed to the next iteration of the outer loop with the updated value of 'i'.
This algorithm segment essentially computes the value of 'r' for each 'i' in the range of 1 to (n-1), considering the array 'c' and its elements.
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Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm
A. yes
B. no
Answer:
yes
Step-by-step explanation:
In order for it to be a right triangle, it has to be \(a^2+b^2=c^2\).
\(20^2+21^2\) should equal \(29^2\)
400+441 should equal 841
So yes, the lengths make a right triange.
Please tell me the answer to 8 to the tenth power times 6 to the 4 power? I really need to know
Answer:
1391569403904
Step-by-step explanation:
Answer:
1.3915694e+12
Step-by-step explanation:
Factorize this question
Answer: (3a+5b)(3a−5b)(a+b)(a−b)
Step-by-step explanation:
Factor 9a4−34a2b2+25b4
9a4−34a2b2+25b4
=(3a+5b)(3a−5b)(a+b)(a−b)
5. in which number is the 3-1/100 the value of the 3 in 43,781? a. 345 b. 237, 895 c. 5,732
The number in which the value of 3 is 3-1/100 is 345. The correct option is a.
The given number is 43,781.
The value of the 3 in 43,781 is 3,000.
The value of 3-1/100 is 2.99.
We are supposed to find out in which number 2.99 is the value of the 3 in 43,781.
Given options are:
a. 345
b. 237,895
c. 5,732
We'll calculate the values of 3-1/100 in each option.
a. The value of 3-1/100 in 345 is 2.99.
So, the correct option is a.
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an = 3n2 + 4n +5
find the first 5 terms of the following sequence
Answer:
\(a_1=12\,,\ \ a_2=25\,\ \ a_3=44\,,\ \ a_4= 69\,,\ \ a_5= 100\)
Step-by-step explanation:
\(a_1 = 3\cdot1^2+4\cdot1+5= 3+4+5=12\\\\a_2= 3\cdot2^2+4\cdot2+5= 3\cdot4+8+5=25\\\\a_3= 3\cdot3^2+4\cdot3+5= 3\cdot9+12+5=44\\\\a_4= 3\cdot4^2+4\cdot4+5= 3\cdot16+16+5=69\\\\a_5= 3\cdot5^2+4\cdot5+5= 3\cdot25+20+5=100\)
Find the slope and y intercept (please show work)
ABCDEFGHI is a regular 9-sided polygon.
B
Diagram NOT
accurately drawn
H
o
G
D
F
E
The vertices B and E are joined with a straight line.
Work out the size of angle BEF.
(4 marks)
angle BEF
Answer:
angle BEF = 100 degrees
Step-by-step explanation:
For a regular 9-sided polygon (nonagon),
each exterior angle = 360/9=40 degrees
each interior angle = 180-40 = 140 degrees.
Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.
Therefore angle DEB = 40 degrees
that leaves BEF = 140-40 = 100 degrees
Subtract 10x + 7y from -15x+6y
Step-by-step explanation:
= -15x+6y-(10x+7y)
= -15x+6y-10x-7y
= -25x-y.
Answer: 4
Step-by-step explanation:
10 + 7 = 17
15 + 6 = 21
21 - 17 = 4
I don’t know but wanted to try it might not be right
what is the area of the rectangle shown on the coordinate plane?
Answer:
16 square units
Step-by-step explanation:
Hopefully this helps :)
Miguel is filling his 150
-gallon aquarium at a rate of three gallons every two minutes. Use an equation to determine how long it will take Miguel to fill the aquarium
The time taken for Miguel to fill the aquarium is 100 minutes
We can use the formula
time = amount ÷ rate
where
time is the time it takes to fill the aquarium (what we want to find)
amount is the amount of water needed to fill the aquarium (150 gallons in this case)
rate is the rate at which Miguel is filling the aquarium (3 gallons every 2 minutes)
So, Substitute the values in the equation , we get:
time = 150 gallons ÷ (3 gallons ÷ 2 minutes)
time = 150 gallons ÷ 1.5 gallons / minute
Divide the numbers
time = 100 minutes
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How to add scientific notation with different exponents.
To add scientific notation with different exponents, you need to adjust the exponents so that they are equal. Once the exponents are aligned, you can add or subtract the corresponding coefficients.
First, identify the numbers in scientific notation that you want to add. Let's say you have two numbers, A and B, expressed in scientific notation as A x 10^n and B x 10^m, where n and m are the exponents.
To add these numbers, you need to adjust one of them so that the exponents are the same.
Choose the number with the smaller exponent and multiply both its coefficient and exponent by the appropriate power of 10 to match the exponent of the other number.
For example, if n < m, you would multiply number A by \(10^{m-n}\), which means multiplying the coefficient of A by \(10^{m-n}\) and keeping the exponent of 10 as n.
Once the exponents are aligned, you can add or subtract the coefficients of the adjusted numbers.
This will give you the final result in scientific notation.
It's important to note that if the exponents are significantly different, adjusting the exponents may involve multiplying or dividing by large powers of 10, which can affect the precision of the final result.
Therefore, it's advisable to retain the appropriate number of significant figures in your calculations.
In summary, to add scientific notation with different exponents, you adjust one of the numbers by multiplying its coefficient and exponent by an appropriate power of 10 to match the exponent of the other number.
Then, you can add or subtract the coefficients and express the result in scientific notation.
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Kevin uses each of the digits 6,4,3 and 8 once and only once to make four-digit numbers
what is the smallest number he can make
Answer:
3,468?
Step-by-step explanation:
I think the prompt is a little confusing, but I went with the logic of literally using the numbers and combining them.
Please help on this! Thanks!
Answers:
a = 7b = 14c = 7d = 7*sqrt(3)======================================================
Explanation:
The smaller triangle on the left is a 45-45-90 triangle. In these triangles, the hypotenuse is sqrt(2) times that of the leg length.
The hypotenuse shown is 7*sqrt(2), so that must mean each leg is 7 units long. Therefore, a = c = 7.
The triangle on the right is a 30-60-90 triangle. The shorter leg (opposite the smallest angle of 30 degrees) doubles to get the hypotenuse. So we can say b = 2a = 2*7 = 14. The longer leg is exactly sqrt(3) times that of the shorter leg. The longer leg is d = a*sqrt(3) = 7*sqrt(3)
Find the zero of f(x)=-3x-18
Answer:
2 and -3
Step-by-step explanation:
The reason why these are the answers is because if you put it in your graphics calculator then you can see the only points where the diagram intersects with the x-axis would be at points 2 and -3 :)
In a soil sample, the effective size (D10) is 0.07, Uniformity coefficient is 97 and coefficient of curvature is 0.58. Which of the following statements are correct? Select one:
a. None of the above
b. D60=6.68&D30=0.42
c. D60=6.79&D30=0.52
The correct statement is option c: D60=6.79 and D30=0.52.The effective size (D10) represents the diameter at which 10% of the soil particles are smaller and 90% are larger. In this case, D10 is given as 0.07.
The uniformity coefficient (UC) is a measure of the range of particle sizes in a soil sample. It is calculated by dividing the diameter at 60% passing (D60) by the diameter at 10% passing (D10). The uniformity coefficient is given as 97, indicating a high range of particle sizes.
The coefficient of curvature (CC) describes the shape of the particle size distribution curve. It is calculated by dividing the square of the diameter at 30% passing (D30) by the product of the diameter at 10% passing (D10) and the diameter at 60% passing (D60). The coefficient of curvature is given as 0.58.
To determine the values of D60 and D30, we can rearrange the formulas. From the uniformity coefficient, we have D60 = UC * D10 = 97 * 0.07 = 6.79. From the coefficient of curvature, we have D30 = (CC * D10 * D60)^(1/3) = (0.58 * 0.07 * 6.79)^(1/3) = 0.52.
Therefore, the correct statement is option c: D60=6.79 and D30=0.52.
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simplfy given equation using the distributive property 6 - (3x+10) + 4(2 - x) =15
Answer:
see below
Step-by-step explanation:
6 - (3x+10) + 4(2 - x) =15
Distribute
6 - 3x -10 +8 -4x = 15
Combine like terms
4 -7x = 15
Subtract 4 from each side
4 -7x-4 =15-4
-7x =11
Divide each side by -7
-7x/-7 = 11/-7
x = -11/7
Evaluate this exponential expression.
A. 63
OB. 66
C. 19
D. 207
6 (4+2)2-32
Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we simplify the expression inside the parentheses:
4 + 2 = 6
Next, we square the result:
6² = 36
Now, we substitute the squared result back into the expression:
6(36) - 32
Next, we perform the multiplication:
6 * 36 = 216
Finally, we subtract 32:
216 - 32 = 184
Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.