Answer:
Option "A" is the correct answer to the following question.
Step-by-step explanation:
Complementary angles ⇒ If the sum of two angles becomes 90 degrees, we can say that this is a complementary pair of angles.
In the given situation angle ∠RST and ∠TSU are a pair of complementary angles.
∠RST + ∠TSU = 90° (Complementary angles)
So, we say that the option "A" is the correct answer.
The correct statement is Option A) m∠RST + m∠TSU = 90°
To determine which statement is true for two complementary angles ∠RST and ∠TSU, we need to understand the definition of complementary angles in geometry.
Complementary angles are two angles whose measures add up to 90 degrees. Therefore, the correct option is:
A) m∠RST + m∠TSU = 90°
This is because, by definition, if two angles are complementary, their measures always sum up to 90 degrees. For instance, if m∠RST is 30 degrees, then m∠TSU must be 60 degrees so that their sum is 90 degrees.
Find the third side in simplest radical form:
Answer:
The third side is 8
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
a^2 + 15^2 = 17^2
a^2 +225 = 289
Subtract 225 from each side
a^2 +225-225=289-225
a^2 = 64
Take the square root of each side
sqrt(a^2) = sqrt(64)
a= 8
Solve for y! 8x - 4y = -28
y = 2x + 7 in the equation 8x - 4y = -28, isolate y on one side by subtracting 8x from both sides and then dividing by -4.
Solve for y: 8x - 4y = -28
Start by isolating y on one side of the equation.
Subtract 8x from both sides to get -4y = -8x - 28.
Finally, divide by -4 to find y = 2x + 7.
If f(1) = 8, the corresponding ordered pair is
Answer:
The ordered pair is (1,8)
Step-by-step explanation:
Final answer:
The corresponding ordered pair for the function value f(1) = 8 is (1, 8), with 1 being the input and 8 being the output of the function.
Explanation:
If f(1) = 8, then the corresponding ordered pair is (1, 8). In function notation, the first value in the ordered pair is the input to the function (also known as the x-value or independent variable), and the second value is the output (also known as the y-value or dependent variable). Therefore, having f(1) = 8 tells us that when the input is 1, the output is 8, forming the ordered pair (1, 8).
Find the next three terms of the sequence
21,19,17,15,
The next three terms in the sequence 21, 19, 17, 15, are found by continuing the pattern of subtracting 2 from the previous term. They are 13, 11, and 9 respectively.
Explanation:To find the next three terms of the sequence 21, 19, 17, 15, we should first identify the pattern. Observing the sequence, we see that each term decreases by 2 from the previous term. This is called an arithmetic sequence with a common difference of -2.
Starting with the last given term (15), we subtract 2 to find the next term:
15 - 2 = 1313 - 2 = 1111 - 2 = 9Therefore, the next three terms in the sequence are 13, 11, and 9.
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would you rather work at restaurant A or restaurant B. Restaurant A is $ 18 a hour and has no tips and cost $8 to $28. Restaurant B is $10.50 a hour and has tips and cost $8 to $28. What restaurant would you work at
If a = 1 and b = -3, what is the value of a - 21 + 12 - bl?
A. -2
B. 4.
D. 6
E. 8
Answer:
A -2 i think so im sorry if it's wrong
Given: m =
1/2 and b = 4
The slope and y-intercept for a linear equation are given. Which graph matches this information?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Check the coordinates in each graph.
(0, 4), (1, 4.5), (2, 5), (3, 27.5)
The graph that satisfies the coordinates given above is the answer.
The graph shown is not clearly visible.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = m = 1/2
y-intercept = 4
This means,
The equation of the line is y = (1/2)x + 4.
For x = 0, y = 4
For x = 1, y = 1/2 + 4 = 9/2 = 4.5
For x = 2, y = 1 + 4 = 5
For x = 3, y = 3/2 + 4 = 11/4
The coordinates from the line are:
(0, 4), (1, 4.5), (2, 5), (3, 27.5)
Now,
Check the coordinates in each graph.
The graph that satisfies the coordinates given above is the answer.
The graph shown is not clearly visible.
Thus,
Check the coordinates in each graph.
(0, 4), (1, 4.5), (2, 5), (3, 27.5)
The graph that satisfies the coordinates given above is the answer.
The graph shown is not clearly visible.
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The given linear equation with a slope of 1/2 and a y-intercept of 4 represents a straight line that rises 1 unit vertically for every 2 units it moves horizontally and intersects the y-axis at the point (0, 4).
Explanation:The given information consists of a slope (m) of 1/2 and a y-intercept (b) of 4. When these values are plugged into the linear equation y = mx + b, we get y = (1/2)x + 4. This equation represents a linear graph with a slope of 1/2 and a y-intercept of 4. The graph would be a straight line that rises 1 unit vertically for every 2 units it moves horizontally and intersects the y-axis at the point (0, 4).
The tape diagram represents an equation.
8
q
12
Find the value of q that makes the equation true.
Answer:
q = 4
Step-by-step explanation:
this is your equation
8 + q = 12
rearrange to find q
q = 12 - 8
q = 4
Answer:
4
Step-by-step explanation:
What is the simplest form of the square root of 324 times a squared times b to the power of 6? (assume that a is greater than or equal to zero and b is greater than or equal to zero)
A. 18ab to the power of 3
B. 18b to the power of 4
C. 162ab to the power of 3
D. 162ab to the power of 4
Final answer:
The simplest form of the expression √324 * a^2 * b^6 is 18ab^3, which corresponds to Option A.
Explanation:
First, let's simplify the expression √324 * a^2 * b^6. The square root of 324 is 18, since 18 x 18 = 324. Now, we simplify 18 * a^2 * b^6 which gives us 18ab^3 when taking the square root of each term (a squared is a times a, and the b to the power of 6 simplifies to b to the power of 3 because √(b^6) = b^3).
The expression is already in its simplest form as an integer power. Therefore, the correct answer is Option A. 18ab^3.
Each of the 10 players on the basketball team shot 100 free throws,and the average number of baskets made was 75.When the highest and lowest scores were eliminated,the average of baskets for the remaining 8 players was 79.What is the smallest number of baskets anyone could have made?
Answer: The answer is 18.
Step-by-step explanation:
Since the average of all 10 players was 75, the total number of baskets made was 10 × 75 = 750. Also, since 8 of the player had an average of 79, they made a total of 8 × 79 = 632 points. The other 2 players, therefore, made 750- 632 = 118 baskets. The most baskets that the player with the highest number could have made was 100, so the player with the lowest number had to have made at least 18.
The smallest number of baskets anyone could have made is 18, computed by first finding the total of all scores, then the total of the 8 middle scores and subtracting, and finally subtracting a maximum possible individual score from the remaining total.
Explanation:One way to approach this problem is to calculate the total baskets scored initially, then the total scored after removing the highest and lowest scorers. We know that there are 10 people in total, each making an average of 75 baskets. So, the total initial scores is 10 * 75 = 750 baskets.
When the highest and lowest scorers are removed, the remaining 8 players have an average of 79 baskets each, which gives a total of 8 * 79 = 632 baskets. Subtracting the latter total from the initial total, we get 750 - 632 = 118 baskets, which are the combined scores of the highest and lowest players.
To find the smallest number of baskets anyone could have made, we consider a case where the highest score is as high as possible while still being within realistic boundaries. Since each player shot 100 free throws, the maximum score by one player could be 100. Therefore, the smallest number of baskets made by a player, could be 118 - 100 = 18 baskets.
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In which quadrant does point K (7, −4) lie?
List the following sets A is the set of whole numbers greater than 15 but less than 25
Answer:
{a | 25>a>15}
The elements of A ={16,17,18,19,20,21,22,23,24}
Hope it will help u...
Can i get some help please this is pretty hard
Answer:
1. 2/3
2. doesn't exist
3. 2
4. x ≥ 0
5. y ≥ 2
Step-by-step explanation:
If we were to take any two points on the line and divide the difference of the y-coordinates by the difference of the x-coordinates, we'd get the slope. So, take any two points: (0, 2) and (3, 4). The slope is:
(4 - 2) / (3 - 0) = 2/3
The x-intercept is where the line crosses the x-axis, but since the line only starts at (0, 2), the x-intercept doesn't exist.
The y-intercept is where the line crosses the y-axis, which is at point (0, 2) so the y-intercept is 2.
The domain is the possible x-values. Here, because the smallest x-value is 0 (from the point (0,2)), and there is no largest x-value (the arrow at the end of the line indicates the graph goes on to infinity), the domain is: x ≥ 0.
The range is the possible y-values. Here, the smallest possible y value is 2 (from (0, 2)) and the largest is infinity, so the range is: y ≥ 2.
If you do this step by step, you will see it is actually easy! So first, the slope is found by rise over run!
rise = 2; run = 3
Slope = 2/3
The graph doesn't extend to the x axis!
X intercept = Not there
The y intercept is where the function touches the y axis, this is already evident on the graph!
Y intercept = (0,2)
The domain is all possible x values, the function starts at (0,2) and can't go past that point which makes our domain...
Domain = [tex]0\leq x[/tex]
The range is all possible y values, and since the function's vertical limit is 2, then our range is...
Range = [tex]2 \leq y[/tex]
A fair coin is flipped three times. The sample space for this experiment is as follows: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} Which table represents the experiment and the probabilities for number of heads? Table A
Answer:
It would be Table D.
(hope this helped!!)
Answer: D
Step-by-step explanation:
Took the quiz on edge :)
Sort the options based on whether they are costs or benefits of owning insurance
copayments
Costs
Benefits
premiums
risk management
protection from devastating costs
peace of mind
deductibles
Intro
Done
Q0000000000000
COST:
•premiums
•copayments
•deductibles
BENEFITS
•risk management
•peace of mind
•protection from devastating cost
The options when sorted by whether they are costs or benefits of insurance would be:
Costs:
PremiumsCopaymentsDeductiblesBenefits:
Risk managementProtection from devastating costsPeace of mindWhat are some insurance terms ?Premiums, copayments, and deductibles are all financial costs associated with owning insurance. Premiums are the regular payments that you make to your insurance company in order to maintain coverage.
Copayments are the amounts that you pay out of pocket when you receive medical care or other covered services. Deductibles are the amounts that you have to pay out of pocket before your insurance company starts paying for covered services.
Risk management, protection from devastating costs, and peace of mind are all benefits of owning insurance. Insurance can help you to manage your financial risk by protecting you from unexpected expenses
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The radius of a circular track is 50 feet. How many feet of fencing
is needed to completely enclose the track? Use 3.14 for pi
What is 3 to the power of 2 times 3 to the power of 4?*
3 to the power of 6
3 to the power of 8
0
Answer:
what is 3 to the power of 2 times 3 to the power of 4?*
= 729
3 to the power of 6
= 729
3 to the power of 8
= 6,561
6^(2x+2)*6^(3x)=1
please help :)
Answer:
6^5x+2
Step-by-step explanation:
Add exponents when multiplying
What percent of 85 is 76
Answer:
P = 89.41%
Step-by-step explanation:
of means multiply and is means equals
Let P equal the percent
P * 85 = 76
Divide each side by 85
P *85/85= 76/85
P =.894117647
Change to percent form
P = 89.41%
Is the following statement true or false? A line is one-dimensional.
Answer:
true
Step-by-step explanation:
A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is sometimes called a straight line or, more archaically, a right line, to emphasize that it has no "wiggles" anywhere along its length.
Explain why the two below equations are equivalent. Think about the properties that were used and additional operations in the equations.
3x−6=7x+8
6x−12=16+14x
Answer:
The two below equations or so equivalent because they both lie on the x-axis
Step-by-step explanation:
Answer I need help wit this
Angelica has to write a history paper on the founding of any of the 50
United States. Each student has to draw their state out of a hat at
random. If Angelica is the first person to draw in her class, what is the
probability that she will choose one of first original 13 states?
Select one:
1/4
1/13
50/13
13/50
Answer: 13/50
Step-by-step explanation:
Angelica has to write a history paper on the founding of the 50
United States. Since Angelica is the first person to choose, the probability of choosing one of the first 13 States will be the 13 states divided by the total 50 states. This can be written as:
Probability= 13/50
The probability is therefore 13/50
can someone help me draw a figure in math?
We're going from 1u : 3m to 1u : 9m so the new images will be three times smaller in each linear dimension. So instead of a 3x9 box we get a 1x3 box.
Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground,
descending 3 meters each minute.
Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in
minutes)
Elevation (meters)
Answer:
If you are looking for coordinates then its (0,5) (5,-20)
Step-by-step explanation:
Mr. Mole's burrow lies 5 meters below the ground. This is the same as saying that when Time is 0, Elevation is -5.
Therefore, the graph of the relationship should pass through the point (0,-5)
We are also given the rate of change of the relationship: 3 meters per minute. This means that when Time increases by 1, Elevation decreases by 3.
Therefore, the graph should also pass through the point (0+1,-5-3), which is the point (1,-8) However, this point doesn't appear on the grid! We need to find an equivalent pair of corresponding changes that would help us find a point that we can graph.
Note, for instance, that when Time increases by 5, Elevation decreases by 5x3= 15. Therefore, the graph should pass through the point
(0+5,-5-15)which is the point (5,-20)
Sorry if its confusing :(
Answer:
the coordinates are (0, -5) and (5, -20)
Step-by-step explanation:
A grocery store sells roasted almonds in bulk. What is the price per pound for the almonds?
A. $4.50
B. $5.00
C. $7.50
D. $8.00
Answer
8 is WRONG! The correct answer is 7.50
Step-by-step explanation:
The equation of a circle is given below.
(x – 0.5)2 + (y – 3.5)2 = 16
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units
Answer: Center (0.5,3.5)
Radius:4
Step-by-step explanation:
HURRY PLSSSSSSS!!!!!
What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters?
Use the formula h = 2 A Over b, where A represents the area of the triangle, h represents the height, and b represents the length of the base.
One-third centimeter
Two-thirds centimeters
3 Centimeters
6 Centimeters
Answer:
BRUH I DONT KNOW
Step-by-s
4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) 4(5x−3)−3(4x−7) DO ALL OF THAT TO FIND THE ANSWER
Answer:
The area of the rectangle is bh=4\times 5 = 20bh=4×5=20b, h, equals, 4, times, 5, equals, 20 square units, so the area of the triangle is \dfrac 12 bh = \dfrac 12 \times 4 \times 5 = 10
2
1
bh=
2
1
×4×5=10start fraction, 1, divided by, 2, end fraction, b, h, equals, start fraction, 1, divided by, 2, end fraction, times, 4, times, 5, equals, 10 square units.
Step-by-step explanation:
Solve the inequality 8x + 4 > 20
Answer:
x>2
Step-by-step explanation:
8x+4>20Subtract 4 from both sides to get 8x>16Divide both sides by 8Answer is x>2The solution of inequality is,
⇒ x > 2
We have to given that;
The inequality is,
⇒ 8x + 4 > 20
Now, We can solve the inequality as;
⇒ 8x + 4 > 20
⇒ 8x + 4 - 4 > 20 - 4
⇒ 8x > 16
⇒ 8x - 16 > 0
⇒ 8 (x - 2) > 0
⇒ x - 2 > 0
⇒ x > 2
Since, 8 ≠ 0
Hence, The solution of inequality is,
⇒ x > 2
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Which human activity is correctly paired with the greenhouse gas that it increases?
rice cultivation and water vapor
landfilling and carbon dioxide
deforestation and methane
sewage treatment and nitrous oxide
Answer:
Sewage treatment and nitrous oxide
Step-by-step explanation:
Sewage to treatment and nitrous oxide is correctly paired with the greenhouse gases that it increases.
Greenhouse gas refers to gases that has the property of absorbing infrared radiation (net heat energy) emitted from Earth’s surface and reradiating it back to Earth’s surface, thus contributing to the greenhouse effect.
Examples of greenhouse gases and the most important greenhouse gases are methane, carbon dioxide (CO2), and water vapor.
Human activities such as fossil-fuel combustion are responsible for increase in the atmospheric concentration of various greenhouse gases, especially carbon dioxide, methane and ozone.
Answer: The correct answer is sewage treatment and nitrous oxide
Step-by-step explanation:
The other options for rice cultivation, landfills, and deforestation are not paired with the proper greenhouse gases. However, sewage treatment plants are known for emitting nitrous oxide through their processing.
A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the length and the width of the bar
Answer:
The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet
Step-by-step explanation:
A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:
area = width*length
In this case the length is 0.7 feet longer than twice the width, therefore:
length = 2*width + 0.7
Applying the second equation on the first one and using the data from the question we have:
47.1 = width*(2*width + 0.7)
47.1 = 2*width² + 0.7*width
2*width² + 0.7*width = 47.1
width² + 0.35*width = 23.55
width = [tex]\frac{-0.35 \pm \sqrt{0.35^2 -4*1*(-23.55)}}{2*1} = -0.175 \pm 4,85599[/tex]
width = 4.68099 or width = -5.03099
Since the width can't be negative, it can only be 4.68099 feet.
length = 2*4.68099 + 0.7 = 10.06198 feet.
The width of the chocolate bar is 4.68 feet and the length is 10.06 feet.
To find the length and width of the chocolate bar, let's denote the width as w (in feet). According to the problem, the length, l, is 0.7 feet longer than twice the width, so we can express the length as:
l = 2w + 0.7
The area of the chocolate bar is given as 47.1 square feet. The area (A) of a rectangle is calculated by multiplying the length and the width:
A = l × w
Substituting the given values, we have:
47.1 = (2w + 0.7) × w
Expanding and rearranging the equation:
47.1 = 2w² + 0.7w
2w² + 0.7w - 47.1 = 0
This is a quadratic equation in the form ax² + bx + c = 0, where a = 2, b = 0.7, and c = -47.1. We can solve this using the quadratic formula: x = [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Substituting the values into the quadratic formula:
w = [tex]\frac{-0.7 \pm \sqrt{0.7^2 - 4 \times 2 \times -47.1}}{2 \times 2}[/tex]
w = (-0.7 ± √(0.49 + 376.8)) / 4
w = (-0.7 ± √377.29) / 4
w = (-0.7 ± 19.42) / 4
Taking the positive root (since width cannot be negative):
w = (19.42 - 0.7) / 4
w = 18.72 / 4
w = 4.68
Now, substitute w back into the equation for length:
l = 2w + 0.7
l = 2(4.68) + 0.7 = 9.36 + 0.7 = 10.06
Thus, the width of the chocolate bar is 4.68 feet and the length is 10.06 feet.