The larger acute angle in the right triangle is 60°
What is a right triangle?A triangle with at least one angle a right angle, is called a right triangle.
Given that, In a right triangle, cos (9x) = sin (6x - 10)°.
We know that, sine and cosine of an angle are supplementary.
Therefore,
9x+6x-10 = 90
15x = 100
x = 20 / 3
Therefore, sin(6(20/3)-10)°
= sin(30)°
And also,
cos(9(20/3)
= cos(60)°
Hence, the larger angle is in the triangle is 60°
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HELP MEEEEEE
10 Answer:
Evaluate the expression 7 + x + (-3) when x = 2:
11 Answer:
Evaluate the expression 4x2 + 2 when x = 2.
12 Answer:
Evaluate the expression |x + 10| when x = -12.
13 Answer:
Evaluate the expression |2x + 1| when x = 3/2.
14 Answer:
Evaluate the expression (x - 3)/4 when x = 4.
15 Answer:
Evaluate the expression (5 - x)/6 when x = 3.
The value of expression is ,
10) 6
11) 18
12) 2
13) 4
14) [tex]\frac{1}{4}[/tex]
15) [tex]\frac{1}{3}[/tex]
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.
Here the given expression
10) 7+x+(-3)
Put x=2 then
=> 7+2-3
=> 7-1 = 6
11) 4[tex]x^2[/tex]+2
put x=2 then
=> [tex]4*2^2+2[/tex]
=> 4*4+2
=> 16+2=18
12) Ix+10I
put x=-12 then
=> I-12+10I
=> I-2I = 2
13) |2x + 1|
put x= 3/2 then
=> I2*[tex]\frac{3}{2}[/tex]+1I
=> I3+1I
=> I4I = 4
14)(x - 3)/4
put x=4 then
=> [tex]\frac{4-3}{4}[/tex]
=> [tex]\frac{1}{4}[/tex]
15) (5 - x)/6
put x=3 then
=> [tex]\frac{5-3}{6}[/tex]
=> [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
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Pls write the answer.
Answer:
the first one is the correct answer
What is a rational consumer in classical economics ?
Answer:
A rational consumer is an economic concept that presupposes that when making a choice, consumers will always focus primarily on the maximisation of their private benefits. In decision making, rational consumers select the option that will bring the most utility and satisfaction to them.
I'll give brainliest to the person that answers
Answer:28 sq mm
Step-by-step explanation:
Triangle's area: length times the height then divided by 2.
8×7÷2
=56/2
=28
Hi, please help me with this very easy maths question. Thanks
The quadratic expression for the curves is written as
The curve opening up y = a(x + 4)² - 7
The curve opening down y = -1/8(x - 4)² + 3
How to write the equation of the curveThe equation of the quadratic equation is written using the formula
y = a(x - h)² + k
where h and k are points of the vertex v(h, k)
The curve opening up
h = -4 and k = ?
using points C and B
-5 = a(0 + 4)² + k, -5 = 16a + k
1 = a(4 + 4)² + k, 1 = 64a + k
solving simultaneously
-5 = 16a + k
1 = 64a + k
subtraction
-6 = -48a
a = 1/8
solving for k
-5 = 16a + k
-5 = 16 * 1/8 + k
k = -7
substituting the values
y = a(x + 4)² - 7
The curve opening down
A is the vertex (4, 3)
y = a(x - 4)² + 3
using D (0, 1) to solve a
1 = a(0 - 4)² + 3
1 - 3 = 16a
a = -1/8
hence the equation is y = -1/8(x - 4)² + 3
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
y(y-5) =750 squared-feet
Step-by-step explanation:
[tex] {y}^{2} - 5y = 750 \\ 750 - y(y - 5) = 0 \\ (y + 25)(y - 30) = 0[/tex]
Solve 3^x−5 = 9. Group of answer choices x = −3 x = 2 x = 7 x = 8
Answer: [tex]x=7[/tex]
Step-by-step explanation:
[tex]3^{x-5}=9\\ \\ 3^{x-5}=3^2 \\ \\ x-5=2 \\ \\ x=7[/tex]
Answer:
-3
Step-by-step explanation:
What is the range of the conic section?
(yl-3≤y≤3)
Answer:
1the answer for this is easy it is 4.4
When a mixed number is written as a decimal, the __ does not change but the __ is changed to an equivalent decimal?
Answer:
When a mixed number is written as a decimal, the whole number does not change but the fraction is changed to an equivalent decimal.
For example, if a mixed number is 2 1/4, the whole number is 2 and the fraction is 1/4. When this mixed number is written as a decimal, the whole number remains 2, but the fraction 1/4 is changed to the equivalent decimal 0.25. So the mixed number 2 1/4 is written as 2.25 in decimal form.
A gardener spread 1/3 of a bag of mulch evenly over his 3 equal-sized vegetable beds. How much mulch did he put on each vegetable bed? please helppppppp nvm its 1/9
The amount of mulch that he put on each vegetable bed will be 1/9.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this situation, the gardener spread 1/3 of a bag of mulch evenly over his 3 equal-sized vegetable beds.
The amount of mulch that he put on each vegetable bed will be:
= 1/3 ÷ 3
= 1/3 × 1/3
= 1/9
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Divide the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x.
(2x3 + x4 - 6x2 + 11x - 10) (x2 + 2 - x)
The division of the given polynomial would be (x^4) + 81.
What is the synthetic division?
Synthetic division is a method for dividing polynomials that allows you to divide a polynomial by a linear factor (a factor in the form of (x-c) where c is a constant) without actually performing the long division process. It is a short cut method that simplifies the process of dividing polynomials.
To divide the polynomials using polynomial division, we will use the following steps:
Write the polynomials in descending order of exponents.
(2x^3 + x^4 - 6x^2 + 11x - 10) (x^2 + 2 - x)
Create a grid with the dividend on the left and the divisor on the right.
2x^3 x^4 -6x^2 11x -10
x^2 2 -x
Bring down the leading coefficient of the dividend, which is 2x^3 in this case. Write it in the next row of the grid.
2x^3 x^4 -6x^2 11x -10
2x^3 x^2 2 -x
Multiply the divisor (x^2 + 2 - x) by the leading coefficient (2x^3) and write the result in the next row.
2x^3 x^4 -6x^2 11x -10
2x^3 x^2 2 -x
2x^5 2x^4 4x^3 -2x^4
Subtract the second row from the third row and write the result in the next row.
2x^3 x^4 -6x^2 11x -10
2x^3 x^2 2 -x
2x^5 2x^4 4x^3 -2x^4
0 -x^4 -2x^2 11x -10
Divide the new leading term by the leading term of the divisor, which is x^2, and write the result in the next row.
2x^3 x^4 -6x^2 11x -10
2x^3 x^2 2 -x
2x^5 2x^4 4x^3 -2x^4
0 -x^4 -2x^2 11x -10
-x^2
So the final answer would be (-x^2) + (x^4 + 2x^2 - 11x + 10).
Hence, the division of the given polynomial would be (x^4) + 81.
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Could you please answer this
Please find attached herewith the solution of your question.
Answer:
40π square inches
If you have any doubt, please comment.
Selling Price: John owns a video game business. He purchases the games
for a price of $13.80. He wants to make a 146% profit on the games. What
does John sell the games for? (round to the nearest 10. example: $5.46 will
round to $5.50)
O $33.00
O $34.95
O $35.25
O $34.25
To find out how much John should sell the games for to make a 146% profit, we can use the following formula:
selling price = cost + (cost x (profit percentage / 100))
We know that the cost is $13.80 and the profit percentage is 146%. So we can plug those values into the formula:
selling price = $13.80 + ($13.80 x (146 / 100))
Solving this equation gives us:
selling price = $13.80 + ($13.80 x 1.46) = $13.80 + $20.108 = $33.908
So, John should sell the games for $33.908 (rounding to the nearest .10, the answer is $33.90)
Out of the options you provided: the closest one is $33.00
I hope this helps :)
Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers how much jam went in each container
Answer:
Step-by-step explanation:
One aircraft has a capacity of 88 more seats than a second
aircraft. A third aircraft has 103 seats less than twice the seating
capacity of the second aircraft. If their total number of seats is
1909, find the number of seats for each aircraft.
Answer:
Let's call the number of seats in the first aircraft "x", the number of seats in the second aircraft "y", and the number of seats in the third aircraft "z".
From the problem statement, we know that:
x = y + 88 (the first aircraft has 88 more seats than the second aircraft)
z = 2y - 103 (the third aircraft has 103 seats less than twice the seating capacity of the second aircraft)
x + y + z = 1909 (the total number of seats in all three aircraft is 1909)
We can substitute the first equation into the third equation to get:
y + 88 + 2y - 103 = 1909
3y = 2000
y = 666 (the number of seats in the second aircraft)
Now that we know the number of seats in the second aircraft, we can use the first and second equations to find the number of seats in the other two aircraft:
x = y + 88 = 666 + 88 = 754 (the number of seats in the first aircraft)
z = 2y - 103 = 2(666) - 103 = 1229 (the number of seats in the third aircraft)
So, the first aircraft has 754 seats, the second aircraft has 666 seats and the third aircraft has 1229 seats.
Vote Me Brainliests
Answer: The first aircraft has 265 seats, the second aircraft has 177 seats and the third aircraft has 248 seats.
Step-by-step explanation:
Let's call the number of seats for the first aircraft x, the number of seats for the second aircraft y, and the number of seats for the third aircraft z.
From the problem, we know the following:
x = y + 88 (the first aircraft has a capacity of 88 more seats than the second aircraft)
z = 2y - 103 (the third aircraft has 103 seats less than twice the seating capacity of the second aircraft)
x + y + z = 1909 (the total number of seats for all three aircraft is 1909)
We can use the first equation to substitute for x in the second and third equations:
y + 88 = y + 88
2y - 103 = z
Now we have a system of equations:
y + 88 + y + 2y - 103 + z = 1909
4y + z = 2000
We can use the first equation to find y:
y = (1909 - 88 - 103) / 4 = 709 / 4 = 177
Now we can substitute this value of y back into the first equation to find x:
x = y + 88 = 177 + 88 = 265
and substitute it back into the second equation to find z:
z = 2* 177 - 103 = 248
So the first aircraft has 265 seats, the second aircraft has 177 seats and the third aircraft has 248 seats.
Without using the P value chart, how would you find the P value using Excel?
To find the P value using Excel, you can use the T.TEST function. The T.TEST function calculates the probability of a given test statistic, such as the T-value, assuming that the null hypothesis is true. The function takes several arguments, including the range of values for the sample data, the hypothesized mean of the population, the type of test (two-tailed or one-tailed), and the significance level.
Here is an example of how to use the T.TEST function in Excel:
Enter your sample data into a column in Excel.
In an empty cell, enter the formula =T.TEST(data range, hypothesized mean, type of test, significance level).
Replace "data range" with the range of cells containing your sample data, "hypothesized mean" with the mean of the population, "type of test" with 1 for a one-tailed test or 2 for a two-tailed test, and "significance level" with the level of significance.
Press enter, the P-value will be returned.
For example, if your sample data is in cells A1:A10, the hypothesized mean is 0, the type of test is two-tailed, and the significance level is 0.05, the formula would be =T.TEST(A1:A10, 0, 2, 0.05)
The P-value returned will be the probability that the sample data came from a population with a mean equal to the hypothesized mean, assuming that the null hypothesis is true.
1 ft. 3 in. Is what part of 1 yd? I need this please I don’t get how to solve it
It is 3 miles from Belle's house to Rosa's house and a straight-line distance of 5 miles from Cora's house to Rosa's house. How far is Belle's house from Cora's house?
Belle's house is approximately 5.83 miles away from Cora's house.
What is a Pythagoras Theorem?
The Pythagorean theorem is a fundamental concept in mathematics, named after the ancient Greek mathematician Pythagoras. The theorem states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as an equation: [tex]c^2 = a^2 + b^2[/tex], where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
We can consider this problem as two right triangles with Rosa's house being the common point, and therefore the right angle.
Let x be the distance between Belle's house and Cora's house.
So, we can set up the equation as:
x^2 = 3^2 + (5)^2
x = sqrt(3^2 + (5)^2)
x = sqrt(9 + 25)
x = sqrt(34)
x = approximately 5.83 miles.
Hence, Belle's house is approximately 5.83 miles away from Cora's house.
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Please please look at the picture and answer the question thank you
The values of x can be that is x = 6 or x > 6 or x < -2 .
What is algebraic expression ?
Algebraic expression can be defined as the combination of variables, constants and exponents.
Given expressions,
2x-7 < -11 or 2x-7 >= 5
So, from the first expression,
2x-7 < -11
2x < -11+7
2x < -4
x < -2 or x>2
From the second expression,
2x - 7 >= 5
2x >= 5+7
2x >= 12
x >= 6
So , in this case x = 6 or x can be greater than 6.
Hence, The values of x can be that is x = 6 or x > 6 or x < -2 .
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PLEASE HELP 20 POINTS!
A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean ParadiseThe Caribbean Paradise has 16 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 28 fewer deluxe staterooms than four times the number of deluxe staterooms on the Pacific Paradise Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 1176
ANSWERS MUST ADD UP TO 1176
Step-by-step explanation:
x = number of deluxe staterooms on Pacific.
deluxe staterooms on Caribbean = x + 16
deluxe staterooms on Mediterranean = 4x - 28
1176 = x + (x + 16) + (4x - 28) = 6x - 12
1188 = 6x
x = 1188/6 = 198
so,
Pacific has 198 luxury staterooms.
Caribbean has 198 + 16 = 214 luxury staterooms.
Mediterranean has 4×198 - 28 = 792 - 28 = 764 luxury staterooms.
A rectangular school banner has a length of 44 inches and a perimeter of 156 inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter?
Answer: The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width of the rectangle.
We know that the rectangular school banner has a length of 44 inches and a perimeter of 156 inches. And we can use the formula above to find the width of the rectangular school banner:
P = 2L + 2W = 156 inches
P = 2(44) + 2W = 88 + 2W = 156 inches
So the width of the rectangular school banner is W = 156 inches - 88 inches = 68 inches
Now, we know that the cheerleaders make signs similar to the banner. the length of a sign is 11 inches, we can use the same formula to find the perimeter of the sign.
P = 2L + 2W = 2(11) + 2W
So the perimeter of the sign is P = 22 + 2W inches
Since we don't know the width of the sign (W) we can't find the perimeter of the sign.
Step-by-step explanation:
Kira gave 5/9 of her baseball collection away to her best friend. If she had 45 cards how many did she give away
Answer:
25
Step-by-step explanation:
5/9 x 45 Cross cancel the 9 and 45. 9 goes into 9 once and 9 goes into 45 5 times
5/1 x 5/1 = 25/1 = 25
help with this please
Answer:
A, B and E
Step-by-step explanation:
A company estimates that the demand for its product fluctuates with the price it charges. The demand function is q = 450,000 – 400p where q equals the number of units demanded and p equals the price in naira. The total cost of producing q units of the product is estimated by the function C = 400,000 + 200p + 0.0005q²? (a) Determine how many units q should be produçed in order to maximize annual profit. (b) What price should be charged? (c) What is the annual profit expected to equal?
The company should create 1 unit of production in Plant 1 in order to optimize its earnings.
Identify the optimal number of units to produce in order to maximize annual profit ?The company should create 1 unit of production in Plant 1 in order to optimize its earnings.
Any extra unit above one in Plant 1 would reduce the demand for the firm's goods, which is determined by
P = 78 – 15 Q, where Q = Q1 + Q2.
For instance, the company will generate four units in Q2 if it produced two units in Q1.
The negative demand for the firm's goods will range from 33 units
(78 - 15 x 3, where Q = 3) to -12 units (78 - 15 x 6, where Q = 6),
depending on the production output.
The output of the company at Plant 1 (Q1) that maximizes its earnings is therefore 1.
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Hlep me with this question and find f 8
-1
8 is bigger than 0, so according to the function, we need to use the third one so it would be -1
7 Jon is using square ceramic tiles, each 20cm x 20cm, to cover a rectangular worktop in his greenhouse. He can fit exactly 6 tiles along the shorter edge of the worktop and 15 along the length. (a) How many tiles will he use, altogether, to cover the worktop? (b) What is the length of the worktop? Give your answer in metres (m). .m
Salut/Hello!
Answer: a) 90 tiles ; b) 3 m
Step-by-step explanation:
a) First we need to imagine a drawing of the empty worktop. We know the width is equal to 6 tiles and the length is equal to 15 tiles. If the shorter edge fits 6 tiles then we have 6 sets of 15 tiles.
6 x 15 = 90 tiles
b) We know the length of one tile is 20 cm so the length of 15 tiles that fit in the worktop is equal to 300 cm or 3 m
I hope it was helpful!
a) To cover the workshop, he has to use 90 tiles altogether.
b) The length of the workshop is 3 meters.
We know that the area of the rectangle is
Area = length × width
Here shorter edge is called width and the longer edge is called length.
Also given that,
The tiles required to cover the shorter edge are 6 tiles.
The tiles required to cover the longer edge are 15 tiles.
so, the total tiles required to cover the worktop are
Area = 15 tiles × 6 tiles
= 90 tiles
Therefore, 90 tiles are required to cover the worktop.
To find the length of the worktop,
Required length = length of each tile × no. of tiles
By applying the formula,
Required length = 20 cm × 15
= 300 cm
1 meter = 100 centimeteres
Therefore, the length of the worktop is 3 meters.
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Is it possible to have a 3/8 in. Pipe with an inside diameter of 21/32 in.
Answer: No, it is not possible to have a 3/8-inch pipe with an inside diameter of 21/32 inches
Step-by-step explanation:
The inside diameter of a pipe is always smaller than the outside diameter. The outside diameter of a pipe is a measurement of the pipe's exterior, while the inside diameter is a measurement of the pipe's interior. Therefore, if the pipe is 3/8 inches in outside diameter, the inside diameter will be less than 3/8 inches.
In addition, 21/32 inches is greater than 3/8 inches, so it is not possible to have a 3/8 inches pipe with an inside diameter of 21/32 inches. This is because the inside diameter is always smaller than the outside diameter.
- C
The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 50%, interpret the likelihood of randomly selecting a terrier from the shelter.
A. Likely
B. Unlikely
C. Equally likely and unlikely
D. This value is not possible to represent probability of a chance event
The solution is: Correct option is 3: Equally likely and unlikely.
We have,
Equally likely indicates the likelihood that the outcomes of each experiment will occur. For instance, if you roll a fair, six-sided die, there is an equal probability of getting any of the faces (1, 2, 3, 4, 5, or 6). The likelihood of a coin landing on its head (H) or tail (T) is equal (T).
What has equal and unequal likelihood?
Equally likely suggests that the event is fair and that all possible outcomes have an equal chance of happening. If two outcomes are not equally likely to occur, then the event would be unfair and one or more of the events would be more likely to do so.
Given that, P(terriers) is 50%
i.e., P(terriers) = 1/2
So, P(not terriers) = 1 - 1/2 = 1/2
This is an equally likely and unlikely event. i.e., The likeliness and unlikeliness of the event are equal and equal to 50%.
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Please help me !!! I need help asap
After calculating The perimeter of rectangle is 46.52 in the given rectangle.
What is area of rectangle?
area of rectangle can be defined as the product of length and breadth.
Given ,
A rectangle has a length 20 5 /6 and
breadth = 2 3/7
The perimeter of rectangle = 2 (l+b)
length = (120 + 5 ) / 6 = 125/ 6
breadth = (14+3) / 7 = 17/7
perimeter = 2 (125/6 + 17/7 )
= 2 ( (125*7 + 17 * 6) / 42 )
= 2 (875+102) / 42
= 2 * 23.26
= 46.52
Hence, after calculating The perimeter of rectangle is 46.52 in the given rectangle.
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true or false: a vertical shift is an example of a non-rigid transformation.
A vertical shift is an example of a non-rigid transformation this statement is False.
What is vertical shift?Vertical shift is the transformation of a graph in which all of its points are shifted up or down by a fixed amount. This transformation does not change the shape of the graph but only moves the graph up or down along the vertical axis. It is often used to analyze the effects of changes in parameters on the graph. For example, a vertical shift may be used to show the effect of a change in the slope of a line.
A vertical shift is an example of a rigid transformation because it preserves the angles and distances between the points of the original figure. A rigid transformation is one that preserves the shape and size of the original figure.
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