I need help please I have to finish this
Answer:
Perimeter: 53cm Area: 90cm²
Step-by-step explanation:
For the perimeter, we just add all of the sides of triangle ABC. We have two of them, but we need the length of BC. Using Pythagorean Therom on triangle BCD, we get this length to be 13. So, 13+25+15= 53 cm.
For the area, we can take the area of the big triangle ADB and subtract the area of triagle BCD so that we are left with the area for triangle ABC. Using Area= .5 x base x height, we get that the area of the large triangle is 120cm² and the area of the small triangle is 30 cm², leaving the area of ABC to be 90 cm².
(Note: the formula for area of the triangle only works on triangles with a right angle or triangles were the height and base are perpendicula, so simply doing .5 x 15 x 12 will not work. However, .5 x 15 x 12 does work because it is perpendicular.)
Which is greater 2/3 or 4/6? Why?
Answer:
WyM.They are both the same ma'am or sir.If you put them as a decimal you will get 0.60
Step-by-step explanation:
Solve -|x| + 9 ≥ -15.
Answer:
Step-by-step explanation:
-24<=x<=24
I'm on my phone and can't access the less than equal to sign.
What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
Answer:
C. [tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]
Step-by-step explanation:
Let [tex]A(x,y) = (6,-7)[/tex], [tex]B(x,y) = (x,y)[/tex] and [tex]C(x,y) = (-3,-2)[/tex]. From statement we know that [tex]AB = \frac{1}{2}\cdot BC[/tex], which is equivalent to the following linear algebraic formula:
[tex]B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)][/tex] (1)
[tex]B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)[/tex]
[tex]\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)[/tex]
[tex]B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)[/tex] (2)
Then, the coordinates of point B on AC are:
[tex]B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)[/tex]
[tex]B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)[/tex]
[tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]
Which means that correct answer is C.
Find the slope of the line that passes through (2, 1) and (6,2).
Answer:
[tex]\boxed{m = \frac{1}{4}}[/tex]
.
Step-by-step explanation:
Use the form below
[tex]\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}[/tex]
Where
[tex]m[/tex] is a slope[tex](x_1,~y_1)[/tex] and [tex](x_2,~y_2)[/tex] are the point of the line.
So, the slope is
[tex](2,~ 1) \to x_1 = 2~and~y_1 = 1[/tex]
[tex](6,~ 2) \to x_2 = 6~and~y_2 = 2[/tex]
.
[tex]m = \frac{2-1}{6-2}[/tex]
[tex]m = \frac{1}{4}[/tex]
.
Happy to help:)
Answer:
[tex]\boxed {\boxed {\sf m=\frac{1}{4}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the slope formula or dividing the change in y by the change in x.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
We are given the points (2,1) and (6,2). Therefore:
[tex]x_1=2 \\y_1= 1\\x_2= 6\\y_2=2[/tex]
Substitute the points into the formula.
[tex]m=\frac{2-1}{6-2}[/tex]
Solve the numerator.
2-1=1[tex]m=\frac{1}{6-2}[/tex]
Solve the denominator
6-2=4[tex]m=\frac{1}{4}[/tex]
This fraction cannot be reduced further, so it is the slope. It can be written as a decimal too:
[tex]m= 0.25[/tex]
The slope of the line is 1/4 (0.25)
An amusement park is considering installing an outdoor ice-skating rink, which costs $950,000. Expenses for operating and maintaining the ice-skating rink are estimated at $2,500 each day it is used. The outdoor skating rink can only be used when the weather is sufficiently cold, so its usage is limited. The US weather service estimates that there is a 50% probability of 80-day suitable weather per year, 30% probability of 100 days per year, and 20% probability of 120 days per year. The operators of the amusement park estimate that during the first 80 days of use in a season, an average of 500 people will skate each day, at a fee of $20 each. If 20 additional days are available, the rink will be used by only 400 people each day during the extra period, and if 20 more days of skating are available, only 300 people per day will use the rink during those days. The management of the amusement park wish to recover any invested capital within three years and want at least a 22% per year rate of return before taxes. Based on before tax analysis, should the outdoor ice-skating rink be installed
Answer:
Yes, the outdoor ice skating rink should be installed.
Step-by-step explanation:
We can reach this conclusion after simulating the profit for each possible scenario made by The US weather service estimates:
For 80-day suitable weather per year:
total invested capital = $950,000 + $200,000 (total operating and maintaining cost) = $1,150,000per day revenue= 500 x $20 = $10,000total revenue per season = $10,000 x 80 days = $800,000total operating and maintaining cost = $2,500 x 80 = $200,000total profit (returns) in a season = $800,000-$200,000 = $600,000per year rate of return before taxes = 52% (total profit / total invested capital *100; $600,000/$1,1150,000 *100 = 52%For 100 days suitable weather per year:
total invested capital = $950,000 + $200,000 (total operating and maintaining cost) = $1,150,000per day revenue= 400 x $20 = $8,000total revenue per season = $8,000 x 100 days = $800,000total operating and maintaining cost = $2,500 x 100 = $250,000total profit (returns) in a season = $800,000-$250,000 = $550,000per year rate of return before taxes = 52% (total profit / total invested capital *100; $550,000/$1,1150,000 *100 = 47%For 120 days suitable weather per year:
total invested capital = $950,000 + $200,000 (total operating and maintaining cost) = $1,150,000per day revenue= 300 x $20 = $6,000total revenue per season = $6,000 x 120 days = $720,000total operating and maintaining cost = $2,500 x 120 = $300,000total profit (returns) in a season = $800,000-$250,000 = $420,000per year rate of return before taxes = 52% (total profit / total invested capital *100; $420,000/$1,1150,000 *100 = 58%Threfore, we notice that the 22% per year rate of return before taxes criteria was met in each of the possible scenarios, making the endeavor worthwhile.
find that length of the side and perimeter of the square whose area is given below
49sq.m
Answer:
Step-by-step explanation:
We know it's a square and that the area is length times width.
So we can square root the given area which is 7sq.m
Therefore the lengths of the sides are 7 m.
A board game was originally priced at $24, it is on sale now for $18. What percent off is the game (percent of
change)?
See attachment for your problem set up.
Answer:
This is a 25% decrease
Step-by-step explanation:
Find the difference between the two prices
24- 18 = 6
Take that over the original price
6 /24 = 1/4
Change to decimal form
.25
Change to percent form
25%
This is a 25% decrease
Last year Sarah invested money in two accounts. The first account had an interest rate of 4% and the second account had an interest rate of 3%. If she invested $700 more in the first account than the second and her total interest income was $483, how much did she invest at each rate?
Answer:
explain further pls so i can give u the correct answer
Step-by-step explanation:
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent pls do it step by step
Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
To find,
The gain percent
Solution,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]
So, the profit percentage is 33.34%.
A school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. If this pattern continues, in what week will the cafeteria sell 40 slices? Explain how you got your answer.
If you look at the question, You would see a pattern. That pattern is the amount of slices in one week is divided by 2 the next week. So on the fourth week you would do 320/2 and get 160. if you keep carrying on the pattern yourself, you would do: 160/2 = 80. 80/2 = 40. And there's your answer. week 4 we had 160 slices sold. week 5 80 slices sold. Week 6 40 slices sold
Simplify this into your own words if you have to
Graph y= -4/5x -7
Algebra
C.P=Rs 20,S.P =Rs24,profit
CP=RS20
SP=RS24
NOW ‚
Profit=SP-CP
=Rs24-Rs20
=Rs4
3x+7+10x=7+13x+10 has {fill in blank} solutions.
-6x-6+8x=-5+2x-1 has {fill in blank} solutions.
choices for both are
infinitely many,one,two,three
Answer and Step-by-step explanation:
3x + 7 + 10x = 7 + 13x + 10
13x + 7 = 13x + 17
0 = 10
No solutions
-6x -6 + 8x = -5 + 2x -1
2x - 6 = -6 + 2x
0 = 0
Many solutions.
The first equation has no solutions.
The second equation has infinitely many solutions.
#teamstrees #WAP (Water And Plant)
Answers:
1. No solutions
2. Infinitely many solutions
Step-by-step explanation:
[tex]3x+7+10x=7+13x+10[/tex]
Add common terms from both sides of the equation (10x and 3x) & (7 and 10)
[tex]13x+7=17+13x[/tex]
Subtract common terms from both sides (13x and 13x)
[tex]7\neq 17[/tex]
7 does not equal 17; thus, there are no solutions
[tex]-6x-6+8x=-5+2x-1[/tex]
Add common terms from both sides of the equation (-6x and 8x) & (-5 and -1)
[tex]2x-6=-6+2x[/tex]
Reorder the right side of the equation
[tex]2x-6=2x-6[/tex]
Since this is a true statement, there are infinitely many solutions
How’re equations y = 3x - 2 and y = 6x - 4 alike?
Answer:
y=6x-4 is double y=3x-2
Step-by-step explanation:
Digit realizes that some members of the audience cannot see the bride and groom due to the current seating arrangement. Therefore, the "U" shape in which the wedding party is organized needs to be widened so that the entire audience fits in between the outer boundaries of the "U" shape. In other words, the audience will be located above the upward-opened parabola formed by the bridal party.
What type of transformation is needed to widen the shape in which the wedding party is currently organized?
a dilation
a reflection
a translation
a rotation
Answer:
A dilation
Step-by-step explanation:
i
Write 7×7×7 using an exponent.
Answer:
7^3
Step-by-step explanation:
Please help I’ll appreciate it thank you
Answer:
107*
Step-by-step explanation:
assuming QOP is 73 degrees then NOP is 107 degrees
a straight like is 180* then - 73* = 107*
A 10 pound bag of grapes costs $14.00. How much is it for 1 pound of grapes?
Answer:
1.40
Step-by-step explanation:
I feel if you divide $14.00 by 10 you would get 1.40, so I say this should be the right answer.
I apologize if I am incorrect.
Answer:
The cost per pound is 1.4.
Step-by-step explanation:
If you divide 14 and 10 it makes 1.4.
5 = -8 + c
i need help this is extra credit
Answer:
c is equal to 13
because -8 + 8 is 0 and 0 + 5 is 5 and 8 + 5 is 13
What is the first digit quotient for 18.6
Please respond ASAP
Answer: 18.6 is your answer because there is nothing behind the 6
Step-by-step explanation: hope this help :)
Help plssssssssssssssssss
Answer:
47mph
Step-by-step explanation:
divide 141 by 3
Answer: 47
Work: To find the rate of speed, you divide 141 by 3, and you get 47 mph.
equiangular triangles are equilateral triangles
Some
All
Isosceles
Scalene
Help. I do not know pls I require assisstance
Answer:
-1 is not in domain
0 and 2 both are in domain.
Explanation:
The radical function must have the domain greater or equal to 0. Here is why.
If we substitute any negative numbers in the equation
[tex]y = \sqrt{x} [/tex]
Then we would get the Imaginary Number, meaning it doesn't exist in Real Number system. That's why any negative real numbers cannot be part of the domain.
But that's for y = square root of x. There are like 4 types of radical function but this one is for example.
The equation in the question is the same type as the example equation.
In the triangle below, what is the length of BC
Answer:
12
Step-by-step explanation:
This triangle is an isosceles triangle, meaning at least two sides are equal. The side AB is equal (or is congruent) to BC, as the angles (46 degrees) are the same on both sides.
AB = BC
12 = BC
Hope this helps!
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain your reasoning. *
Answer:
Horse A will have traveled 20 feet farther
Step-by-step explanation:
Horse A has traveled 160 feet in 5 seconds, and Horse B has traveled 140 feet in 5 seconds, and 160-140=20
Ms. Harmon is a teacher with 28 students. Every school day, Ms. Harmon prints out 2 pages of worksheets for each of them. There are 81 school days left in this school year. Ms. Harmon works out that she will need to print a total of 137 pages in this time. Does that sound about right?
Yes
No it is much low
No it is much high
Answer:
No, it is much too low.
Step-by-step explanation:
28 students x 2 papers per day x 81 days = 4,536 pages
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the
nearest tenth of a cubic inch?
Answer:
Expert Verified
Step-by-step explanation:
the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³
The volume of the hemisphere given its diameter is 47,697.7 in³.
What is the volume?The volume of an object is the amount of space that is in the object. A hemisphere is a three-dimensional object that has the shape of a semicircle.
The volume of the hemisphere = 2/3πr³
r = 56.7 / 2 = 28.35 in
2/3 x 28.35³ x 3.14 = 47,697.7 in³
To learn more about the volume of a hemisphere, please check: https://brainly.com/question/26840364
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Q: In an examination 14% of the students failed and 559 students passed. Find
the number of students who failed?
If a sweater costs $40.00 before the sale and $35.00 after the sale, what was the percent of decrease?
Answer:
%12.5
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
What is my perfect crime? I break into Tiffany's at midnight. Do I go for the vault? No, I go for the chandelier. It's priceless. As I'm taking it down, a woman catches me. She tells me to stop. It's her father's business. She's Tiffany. I say no. We make love all night. In the morning, the cops come and I escape in one of their uniforms. I tell her to meet me in Mexico, but I go to Canada. I don't trust her. Besides, I like the cold. Thirty years later, I get a postcard. I have a son and he's the chief of police. This is where the story gets interesting. I tell Tiffany to meet me in Paris by the Trocadero. She's been waiting for me all these years. She's never taken another lover. I don't care. I don't show up. I go to Berlin. That's where I stashed the chandelier.