In the given kite, AE = 6 ft , BE =9ft , and DE = 15ft . Determine the area of the kite .
Answer:
The area of a kite is 144 ft².
Step-by-step explanation:
Given information: AE = 6 ft , BE =9ft , and DE = 15ft .
Area of kite is
[tex]A=\frac{1}{2}d_1d_2[/tex]
where, [tex]d_1\text{ and }d_2[/tex] are diagonals of kite.
From the given figure it is clear that BD and AC are diagonals of the kite.
[tex]d_1=BD=BE+DE=9+15=24[/tex]
[tex]d_2=AC=AE+CE=6+6=12[/tex]
The area of given kite is
[tex]A=\frac{1}{2}\times 24\times 12[/tex]
[tex]A=144[/tex]
Therefore the area of a kite is 144 ft².
Which equations are related equations to 13 + x = 29?
Select each correct answer.
29 + 13 = x
13=29−x
x=29−13
13−x=29
Answer:
[tex]13=29-x[/tex]
[tex]x=29-13[/tex]
Step-by-step explanation:
Given equation is [tex]13 + x = 29[/tex]
Solve the given equation for x, subtract 13 from both sides
[tex]x=16[/tex]
Now we solve each equation given for x
[tex]29 + 13 = x[/tex], x=42
[tex]13=29-x[/tex], subtract 29 from both sides
[tex]-16=-x[/tex] divide both sides by -1
x=16
[tex]x=29-13[/tex], x= 16
[tex]13-x=29[/tex] subtract 13 from both sides
[tex]-x=16[/tex] divide both sides by -1
x=-16
Option B and C gives the same solution x=16
A line has a slope of –3 and a y-intercept of 3.
What is the x-intercept of the line?
A: –9
B: –1
C: 1
D: 9
The x-intercept of a line with a slope of -3 and a y-intercept of 3 is 1(C). This is calculated by setting y = 0 in the equation of the line (y = -3x + 3) and solving for x.
Explanation:The question is asking for the x-intercept of a line with a slope of -3 and a y-intercept of 3.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here, m = -3 and b = 3.
The x-intercept of a line is the x-coordinate where the line crosses the x-axis. At the x-intercept, the y-coordinate is 0 because it's on the x-axis. Therefore, we set y = 0 in our equation and solve for x: 0 = -3x + 3.
By adding 3x to both sides and then dividing by -3, we find that x = 1. So, the x-intercept of the line is 1(C).
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Select the equation in which the graph of the line has a negative slope, and the y-intercept equals 10. Answer 10x + 5y = –25 5x – 10y = –12 20x + 5y = 50 2x + 6y = 10
The correct equation that represents a line with a negative slope and a y-intercept of 10 is 20x + 5y = 50, which rearranges to y = -4x + 10 in slope-intercept form.
Explanation:The question asks us to select the equation where the graph of the line has a negative slope and a y-intercept equal to 10. To find this, we need to rearrange each equation to the slope-intercept form, which is y = mx + b, where 'm' stands for slope and 'b' stands for y-intercept.
Let's analyze each equation:
10x + 5y = –25 rearranges to y = –2x - 5, having a slope of –2 and a y-intercept of -5.5x – 10y = –12 changes to y = 0.5x + 1.2, showing a positive slope of 0.5 and a y-intercept of 1.2.20x + 5y = 50 modifies to y = –4x + 10, which has a negative slope of –4 and a y-intercept of 10. This is the correct answer.2x + 6y = 10 turns into y = –1/3x + 10/6, having a negative slope of –1/3 but a y-intercept of 10/6.Thus, the correct equation is 20x + 5y = 50, which, when written in the slope-intercept form, displays a negative slope and meets our specification of a y-intercept equal to 10.
Final answer:
The equation with a graph that has a negative slope and a y-intercept of 10 is 20x + 5y = 50, when rearranged into slope-intercept form, it shows a slope of -4 and a y-intercept of 10.
Explanation:
To find the equation in which the graph of the line has a negative slope and a y-intercept equals 10, we need to convert the given equations into slope-intercept form, which is y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept.
Starting with each equation:
10x + 5y = -25 can be rearranged to 5y = -10x - 25, and then y = -2x - 5. Here, the slope (m) is -2, which is negative, but the y-intercept (b) is -5, not 10.
5x - 10y = -12 rearranged gives -10y = -5x - 12, and then y = (1/2)x + 1.2. This line has a positive slope, not a negative.
20x + 5y = 50 is rearranged to 5y = -20x + 50, and then y = -4x + 10. This line has a negative slope (-4) and the y-intercept is 10, so this is the correct equation.
Finally, 2x + 6y = 10 rearranged gives 6y = -2x + 10, and then y = -(1/3)x + (10/6), which simplifies to y = -(1/3)x + 1.6667. The slope is negative, but the y-intercept is not 10.
Therefore, the correct equation is 20x + 5y = 50, because its graph has a negative slope and y-intercept of 10.
use the five step plan to solve the word problem. Show all five steps in youre response. doug is twice anns age. doug is 34 years old. how old is ann?
what are two`fractions whose product is -3/5
To find two fractions whose product is -3/5, we can choose any two fractions that follow the rules of multiplying fractions. For example, the fractions 1/5 and -3/1 or -4/5 and 3/4 both have a product of -3/5.
Explanation:To find two fractions whose product is -3/5, we need to consider the rules of multiplying fractions. When we multiply two fractions, we multiply their numerators to get the new numerator and multiply their denominators to get the new denominator. In this case, we can choose any two fractions that satisfy these rules and have a product of -3/5.
For example, let's consider the fractions 1/5 and -3/1. When we multiply these fractions, we get (1 × -3) / (5 × 1) = -3/5.
Another example is the fractions -4/5 and 3/4. When we multiply these fractions, we get (-4 × 3) / (5 × 4) = -12/20, which can be simplified to -3/5.
PLEASE HELP :):):):):):):):))
Joe's age x, is 5 times his age 10 years ago. Which equation represents the statement?
a) x = 5x - 6
b) x = 5x + 6
c) x= 5 - 10x
d) x = 5(x - 10)
Answer:
d) X=5(X-10)
Step-by-step explanation:
Joe's age is change to X, so we know that his age today is 5 times his age 10 years ago.
His age ten years ago is X-10, if for example he is 25 today then his age ten years ago would be 15 (25-10).
If his age now is 5 times his age 10 years ago we will have to multiply his age ten years ago to get his age today.
Example:
5(X-10), this is how we can write 5 times his age 10 years ago, in a mathematical way.
Now we just have to know that this equation is equal to his age today X.
5(X-10) = X, or another way to put it is:
X=5(X-10)
five added to 2 times a number is equal to 7 less than 4 times the number: what is the number?
Answer:
6
Step-by-step explanation:
Five added to 2 times a number is equal to 7 less than 4 times the number
Five is added to 2 times a number 2x + 5
7 less than 4 times the number 4x - 7
Put them together
2x+5=4x-7
2(6)+5=17
4(6)-7=17
x=6
what is 64.3-3x2 to the third power divide by 2
To solve the expression 64.3-3x2 to the third power divided by 2, simplify inside the parentheses, raise the result to the third power, and divide by 2.
Explanation:To solve the expression 64.3-3x2 to the third power divided by 2, we need to follow the order of operations, which is parentheses, exponents, multiplication, and division from left to right.
First, let's simplify the expression inside the parentheses: 64.3-3x2 = 64.3-6 = 58.3
Next, we raise the result to the third power: 58.3^3 = 19671.327
Finally, we divide the result by 2: 19671.327 / 2 = 9835.6635
Please help me with this
Describe at least 3 different ways to express the rate of change when given a situation.
teesha is in the French Club there are 26 students in the club the French teacher will pick three students at random to guide visiting students from France what is the probability that Tisha will not be picked as a guide
How much money would be collected if 24 were sold?show your work
CAN YOU GUYS ALSO HELP ME ON 10,and12
Yunika downloaded four applications for $2.99 each to her cell phone. The remaining applications that Yunika purchased cost $1.99 each.If she downloaded x total applications, which of the following equations can be used to find how much Yunika spent on cell phone application downloads?
A. y = 1.99(x - 4) + 11.96
B. y = 11.96(x - 4) + 1.99
C. y = 1.99x + 11.96
D. y = 11.96x + 1.99
Answer:
THE ANSWER IS A and I GO TO AMANA ACADEMY CHARTER SCHOOL
Step-by-step explanation:
Yunika downloaded four applications for $2.99 each to her cell phone. So, these four applications cost a total of $11.96.
Each remaining application that Yunika downloaded cost $1.99. Since represents the total number of applications, then ( - 4) represents the number of $1.99 applications she downloaded.
Therefore, the equation that can be used to find how much Yunika spent on cell phone application downloads is shown below.
= 1.99( - 4) + 11.96
Final answer:
The equation to represent the total amount spent by Yunika on cell phone application downloads is y = 1.99(x - 4) + 11.96, which corresponds to option A.
Explanation:
To find the equation representing the total amount spent by Yunika on cell phone application downloads, we can let y represent the total amount spent and x represent the total number of applications downloaded. As given, Yunika downloaded four applications at $2.99 each which gives us a fixed cost of 4 applications × $2.99 = $11.96. The remaining applications cost $1.99 each, so for every application after the first four, Yunika spends $1.99. The total amount spent, y, can thus be calculated by multiplying the number of additional apps (which is x - 4) by their cost ($1.99), and then adding the fixed cost ($11.96).
Therefore, the equation can be written as y = 1.99(x - 4) + 11.96, which matches option A. This equation takes into account both the initial fixed cost for the first four apps and the variable cost for the remaining apps.
A school is contemplating purchasing new computers for its computer lab. Each computer costs $1125. The school has a budget of $8,000. What are the possible numbers of computers that the school can buy?
The school can buy either 7 or 8 computers within the given budget of $8,000.
Explanation:To determine the possible number of computers the school can buy, we need to divide the budget by the cost of each computer. The budget is $8,000 and each computer costs $1125.
Using division, we can calculate:
$8,000 / $1125 = 7.11 (rounded to 2 decimal places)
Therefore, the school can buy either 7 or 8 computers within the given budget.
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Chan her Bought 3.4 pounds of coffee that cost 6.95 per pound how much did you spend on coffee
If a parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours?
Answer:2.25
Step-by-step explanation:
38 divided by 1558 and please show your work
38/1558
The answer is 41.78941
38/1588
-152
68
- 38
300
- 266
340
- 304
360
- 342
180
- 152
38
- 38
0
The answer is 41.78941
38/1588
-152
68
- 38
300
-266
340
-304
360
-342
180
-152
38
-38
0
The ratio of weight on the moon to weight on earth is 1:6. How much would a 174 pound person weigh on the moon?
Whats the simple interest of $400 after 5 years at a 3% annual rate?
How do I do these please help
Janet has 9 2/3 feet of cloth she needs to cut it into length of 1/3 feet how many complete lengths can she cut? please help! Thank you!
Which ordered pair is a solution of the equation y = x – 3?
The ordered pair (5, 2) is the solution to the equation y = x - 3.
Explanation:
To find the solution to the equation y = x - 3, we need to substitute the x-value and see if the resulting y-value matches. Let's check each ordered pair:
For (-2, 5), substituting x = -2, we get y = -2 - 3 = -5, not a match.
For (-5, 2), substituting x = -5, we get y = -5 - 3 = -8, not a match.
For (2, 5), substituting x = 2, we get y = 2 - 3 = -1, not a match.
For (5, 2), substituting x = 5, we get y = 5 - 3 = 2, which is a match!
Therefore, the ordered pair (5, 2) is the solution to the equation y = x - 3.
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The probable question can be: Which ordered pair is a solution of the equation y=x - 3?
a. (-2,5)
b. (-5,2)
c. (2,5)
d. (5,2)
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Write 0.000000874 in scientific notation please. (SO CONFUSING :/)
While driving from his home to his workplace, Chris has to pass through two traffic lights. The general probability of getting a red signal at the first traffic light (event A) is 36%. The general probability of getting a red signal at the second traffic light (event B) is 25%. The probability of Chris getting a red signal at both traffic lights is 9%. In this scenario, A and B are events.
Which lists all the integer solutions of the inequality |x| < 3?
A.) 0,1, and 2
B.) 0,1,2, and 3
C.) -2, -1, 0, 1, and 2
D.) -3, -2, -1, 0, 1, 2, and 3
V(j+y)=61y+82 solve for y
what it the answer to 5r-1/5=4/5
The answer to your problem is
R= 1/5
Jamie has 7/10 of a pound of chicken to cook for dinner. If she is going to split the chicken beween 3 people,how much chicken will each person get?
Which of the following appears to be an irrational number?
A. 3.7777777
b.64 (square root)
c.- 6/5
D.0.484924024
oh, and I'll mark brainliest blah blah blah
The number 0.484924024 is non-terminating, and the non-repeating decimal number is an irrational option (D) is correct.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
It is given that:
The numbers are given in the options.
As we know from the definition of irrational and rational, the numbers in all real numbers cannot be represented as rational numbers.
The decimal expansion of the rational number is terminating or non-terminating recurring.
The decimal expansion of the irrational number is non-terminating and non-repeating.
The number 0.484924024 is non-terminating
Thus, the number 0.484924024 is non-terminating, and the non-repeating decimal number is an irrational option (D) is correct.
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