The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs
of the triangle? Select three options.
0,5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x - 24 = 0
x2 + 2x - 48 = 0
x2 + (x + 2)2 = 100
Answers
Answer:
A, 0.5(x)(x+2)=24, D, x²+2x-48=0, and E, x²+(x+2)²=100
Step-by-step explanation:
A and D are correct because they simply involve the Area of a Triangle formula. A has the formula in the same format, but D has the 0.5 divided from by both sides.
E, on the other hand, uses the Pythagorean theorem to solve for both legs.
Related Questions
simplify need help pls
Answers
Help with this question please1
Answers
Answer:
(-2,8)
Step-by-step explanation:
3x+3y = 18
2x+y = 4
Multiply the second equation by -3
-3(2x+y) = -3*4
-6x-3y = -12
Add this to the first equation
3x+3y = 18
-6x-3y = -12
-------------------------
-3x = 6
Divide each side by -3
-3x/-3 = 6/-3
x = -2
Now solve for y
2x+y = 4
2(-2) +y = 4
-4+y =4
Add 4 to each side
-4+4+y = 4+4
y =8
Answer:
(-2,8)
Step-by-step explanation:
3x + 3y = 18 (1)
2x + y = 4 (2)
(1) - 3(2)
3x + 3y = 18
-(6x + 3y = 12)
-3x = 6
x = -2
Using (2)
2(-2) + y = 4
-4 + y = 4
y = 8
What is the measure of JKL?
A 290°
B 220°
C 110°
D 140°
Answers
Answer:B
Step-by-step explanation:
Answer: 220°
Step-by-step explanation:
Dani gets a student loan to go to college. If he pays $750 in interest at a rate of 3% after 10 years, how much must the loan have been for originally?
Answers
Answer:
The loan must have been $2500 originally. i think
. Select ALL the true statements. There is more than one answer. *
Given a box plot, it is always possible to calculate the mean of the data.
Given a box plot, it is always possible to calculate the median of the data.
Given a box plot, it is always possible to construct a corresponding dot plot.
Given a dot plot, it is always possible to construct a corresponding box plot.
Answers
Jean-Patrick found an old unopened bag of lawn fertilizer in his shed. The bag weighs 36 pounds, and the instructions claim
it can cover 10,000 ft2. If his lawn is 7,000 ftz, how many pounds will he need? Round to the nearest tenth if needed.
Answers
Answer:
He needs to use 25.2 pounds to fertilize his lawn.
Step-by-step explanation:
In order to solve this problem we can use a rule of three in such a way that the content of the bag (36 pounds) can cover 10,000 ft² in the same proportion as "x" pounds can cover 7,000 ft², where "x" is the amount of fertilizer he needs to use.
36 pounds -> 10,000 ft²
x pounds -> 7,000 ft²
36/x = 10000/7000
10000*x = 36*7000
x = 36*7000/10000
x = 25.2 pounds
He needs to use 25.2 pounds to fertilize his lawn.
Answer: He will need to use 25.2 pounds on his lawn.
Step-by-step explanation: If Jean-Patrick found a bag that contains 36 pounds worth of fertilizer and it can cover 10000 square feet of earth, then he needs to find out how many square feet of earth can be covered by just one pound of fertilizer.
After that, he can multiply that portion by 7000 feet to determine how many pounds in total he would need for his lawn.
To cover one square foot of earth, he would need;
1 ft = 36/10000
1 ft = 0.0036
That means for each square foot of earth, he would need 0.0036 pound of fertilizer. In order to fertilize 7000 square feet of earth, he would need the following
Total = 0.0036 x 7000
Total = 25.2
Jean-Patrick would need 25.2 pounds of fertilizer for his lawn
Alicia is buying 6 oranges that cost $1 per kilogram is it reasonable to say that the cost of the oranges will be greater than $6 explain to a friend I need help please
Answers
Answer: Yes
Step-by-step explanation:
I am not sure if this is correct, but a kilogram is a very small unit of measure. I would assume that it is greater since 1000kg is equal to 1g. The oranges would have to weigh almost nothing for it to be less than $6.
Which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure?
A. (x, -y)
B. (-x, y)
C. (-x, -y)
D. (-y, x)
Answers
Answer:
Step-by-step explanation:
Actually, the answer is A (x,-y), ignore the bot.
A rectangular swimming pool is 15 meters long, 10 ½ meters wide, and 2 ½ meters deep. What is its volume?
Answers
Answer:
393.75
Step-by-step explanation:
to find the volume of a rectangular prism, multiply all values by each other.
Steve drove for 2.4 hours at an average speed of 48 miles per hour, then 3.5 hours at and average speed 56 miles per hour. How far did Steve drive?
Answers
Answer:
311.2 miles
Step-by-step explanation:
(distance) = (rate)(time)
Here we have:
(48 mph)(2.4 hr) + (56 mph)(3.5 hrs) = 311.2 miles
Answer:
311.2
Step-by-step explanation:
Solve an equation based off the verbal phrase: 5 more than x is equal to 32
Answers
Answer:
[tex]x=27[/tex]
Step-by-step explanation:
Write the equation:
5 'more than' x suggests addition. Write:
[tex]x+5[/tex]
'equal to' 32. Write:
[tex]x+5=32[/tex]
Solve for x. Subtract 5 from both sides (inverse operations):
[tex]x+5-5=32-5\\x=27[/tex]
X equals 27.
Finito.
x = 27
Explanation: after the equation is set up, subtract five from both sides and you get the answer
If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 and B is the set of all integer solutions of inequality 2x+5<9 that are les than 10 by absolute value (and therefore, is also a subset of R), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.
Answers
Answer:
A=1, 2, 3, 4, 5, 6, 7, 8, 9
B= -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1
Union: -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Intersection: 1
14 out of 56 students got an A. What percent got an A?
Answers
Answer:
7.84 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
I divided 14 by 56 and got 0.25, therefore it is 25%
I hope this helped!
Find the volume of the sphere. Round your answer to the nearest tenth if necessary.
Use 3.14 for it.
9 ft
The volume of the sphere is about
Answers
Answer:
The answer is 3053.6
Let me know if there are any more problems!!
Find the circumference of the circle with a radius of 3 centimeters.
C = ?
Answers
Answer:
18.84
Step-by-step explanation:
C = 2* pi * r
C= 6* pi
= 18.84
Look at the attached picture
Hope it will help you...
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the new drawing?
Answers
Answer:
40 feet by 4 feetStep-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet
Answer:
is it 25 or 2/5 ?
Step-by-step explanation:
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to ⅖ of its size. What is the scale of the new drawing?
if its 2/5 then answer is 1 inch = 5 feet
True or false
Based on the information in the diagram abc ≅ def
Answers
Answer:
The correct answer is B.
Solve the system by the substitution 2x-5y=-6 y=3x-4
Answers
Answer:(2,2)
Step-by-step explanation:
Hope this helps
can someone please help me :)
Answers
Answer:
4 Weeks and 16 hours each
Step-by-step explanation:
Each of them have a formula, C being Cyrus and A being Adrian and W being weeks:
C=2w+8
A=4w
After working for 4 weeks, lets plug that in to the formulas
C=2(4)+8
C=16 hours
A=4(4)
A=16 hours
Both of them have worked for the same time and they each have the same number of hours.
The pair of linear equations 6 x + 4 y = 5 and 3 x + 2 y = 10 is *
1 point
Consistent and independent
Inconsistent
Consistent and dependent
None of these
Answers
Answer:
i think the answer is c Consistent and dependent
Step-by-step explanation:
Answer:
Inconsistent
Step-by-step explanation:
6x + 4y = 5
And
3x + 2y = 10
Are two distinct parallel lines, hence they never meet.
The system has no solution, therefore it's inconsistent
|BRAINLIEST|
Sarah cuts a shoelace that is 1/2 yard long into 4 equal pieces.
What is the length of each piece of shoelace?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answers
Answer:
1/8
Step-by-step explanation:
you just divide the fraction by 4 lol
Answer:
each piece is 12.5
Step-by-step explanation:
make me brainliest please
What is the volume of the item described?
A capsule consisting of a cylinder of radius 3 mm and height 6 mm with a hemisphere on each end of radius 3 mm.
Select the exact answer in terms of π and the approximate answer rounded to the nearest whole number.
90 π mm³
81 π mm³
54 π mm³
283 mm³
170 mm³
254 mm³
Answers
Answer:
90 283
Step-by-step
quiz
Help looks like i forgot to read a ruler
Answers
Answer:
4 1/4
Step-by-step explanation:
it looks like 4 and 1/4
Answer:
D. 4 1/4
Step-by-step explanation:
hope it helps!! good luck:)
A perfect square is a number with ______
as its square roots.
answer the blank
Answers
Answer:
A rational number whose square root is a whole number. 25 is a perfect square because its square root is 5.
Step-by-step explanation:
Which of the following describes two dependent events? (Probability)
A: Flipping a coin twice and getting tails both times.
B: Picking a card from a deck twice and getting a jack both times.
Answers
Answer:
B
it seems like it's two dependent events
Find the equation of the line that has a slope of 14 and passes through the point (-3,12).
Answers
Answer:
The answer is b=54
Step-by-step explanation:
y=mx+b
12=14(-3)+b
12=-42+b
54=b
hope that helps
What is the slope of y = -4x -3
Answers
3. Which statements about graphed lines are true? Select all that apply.
A. A vertical line has an undefined slope.
B. The equation y = mx + b can be used to describe the relationship of a vertical
line.
C. A line represented by x = -8 is a function.
D. A horizontal line has a slope of zero.
Answers
Answer:
A, D
Step-by-step explanation:
b. mx+b can't describe the relationship of a vertical line since it's slope is undefined
c. x = -8 shows no relation to anything so it isn't a function
hopefully that works
he depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches.
What value is one standard deviation below the mean?
2.25
What value is one standard deviation above the mean?
What is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches?
Hint: Read the section on the empirical rule.
Answers
Answer:
) mu-x = 1sigma = 0.25
x = mu - 0.25 = 2.5 - 0.25 = 2.25
2) x-mu = 1 sigma = 0.25
x = mu + 0.25 = 2.5+0.25 = 2.75
3) do you know if you have to use the empirical rule?
By the empirical rule, 68 percent data lies between +/- 1 sigma. So the answer is 68%
Step-by-step explanation
Final answer:
One standard deviation below the mean snow depth is 2.25 inches, and one standard deviation above is 2.75 inches. Using the empirical rule, there is a 68% probability that a random snow depth will be between 2.25 and 2.75 inches when the snow depth is normally distributed with a mean of 2.5 inches and a standard deviation of 0.25.
Explanation:
The depth of the snow in a yard that is normally distributed has a mean (μ) of 2.5 inches and a standard deviation (σ) of 0.25 inches.
Answering the first part of your question, if you are looking for one standard deviation below the mean, you would subtract the standard deviation from the mean, which gives 2.5 - 0.25 = 2.25 inches. This is the value that you provided.
For the second part, you need to calculate one standard deviation above the mean, which is similarly done by adding the standard deviation to the mean. Thus, 2.5 + 0.25 = 2.75 inches.
Regarding the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches, according to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.
Therefore, there is a 68% probability that a randomly selected location will have a snow depth between 2.25 inches (one standard deviation below the mean) and 2.75 inches (one standard deviation above the mean).
Please help me with answer I need help
Answers
Answer:
5+10 and earned is positive IF is multiple choice
Step-by-step explanation:
because he is getting money not loosing money
Answer:
5 + 10
Step-by-step explanation:
you just add the earnings