I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answers
Answer:
18 square units
Step-by-step explanation:
When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.
Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...
A = 1/2bh
A = 1/2(6)(6) = 18 . . . . square units
_____
Alternate solution
If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.
The length of LK is ...
d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10
The distance to line LK can be found by writing the equation of the line LK in general form:
4x -3y -7 = 0
Then the distance formula for point (x, y) is ...
d = |4x -3y -7|/√(4^2 +3^2)
d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6
Using the area formula with these dimensions gives ...
A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units
Answer:
18 square units
Step-by-step explanation:
pls pls pls mark me as brainliest
Related Questions
You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.
Answers
Step-by-step explanation:
of course, we have to use Pythagoras.
c² = a² + b²
c is the Hypotenuse = the side opposite of the 90° angle.
and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?
I don't know from the description.
let's see what we get one way or the other :
assumption : the known sides are the "legs".
c² = 9² + 12² = 81 + 144 = 225
c = 15 ft
that is a nice number. so, it looks like that was the intention.
just to be sure, here also the other options :
9² = 12² + side²
81 = 144 + side² that makes side² negative, so, not valid.
12² = 9² + side²
144 = 81 + side²
63 = side²
side = sqrt(63) this is not a nice round number, so, we go with the first option.
therefore, the 3 sides are
9 ft, 12 ft, 15 ft
perimeter = 9+12+15 = 36 ft
area = baseline×height/2
since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.
area = 9×12/2 = 9×6 = 54 ft²
PLS HELP
The expression 46(1 + x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Match each description to the correct part of the expression.
Question 3 options:
The original price of the meal before tip was added.
The tip percentage written as a decimal.
1.
(1 + x)
2.
x
3.
46
Answers
15/4= simplify it please
Answers
Answer:
[tex]The \: fraction \: \frac{15}{4} \: is \: equivalent \: to \: 3 \frac{3}{4 } .[/tex]
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (4). So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction [tex]3 \frac{3}{4} [/tex]
The fraction [tex] \frac{15}{4} [/tex]
is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
The fraction 15/4 is equivalent to 3 3/4.
Here, we have,
To simplify the fraction 15/4, you need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (4) and divide both the numerator and denominator by the GCD.
The GCD of 15 and 4 is 1 since there are no common factors other than 1.
Dividing both the numerator and denominator by 1, we get:
(15 ÷ 1) / (4 ÷ 1) = 15/4
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denominator (4).
So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction 3 3/4.
The fraction 15/4 is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
To learn more on fraction click:
brainly.com/question/10354322
#SPJ4
What is the slope of the line that passes through the points C(-2, 4) and D(1, -1)? 3
Answers
Answer:
-5/3
Step-by-step explanation:
lmk if you want an explanation
true or false
A political party is a group of people who seek to control government by winning elections and holding office
Answers
Answer:
True
Step-by-step explanation:
Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.
DIRECTION: Solve each proportion.
1. 6/15 = n/25
2. 3/5 = 21/n
3. n/12 = 15/30
4.3/n = 12/24n
5. 6/12 = n/72
plss help me :(
Answers
Answer:
1. n=10
2. n=35
3. n=6
4. n=0 ? not sure for this one. two variables in the proportion
5. n=36
Step-by-step explanation:
set each set of proportion equal to each other and do cross multiplication
hope this helps !
how are you ?
Answer:
10356636Step-by-step explanation:
Please take a look of the attached photo for the solution.
Find the volume of the following figure. Use 3.14 for pi. best answer gets brainliest also 100 points
Answers
Answer: 301.44 cubic inches.
Step-by-step explanation:
The formula for the volume of a cone is [tex]V = \pi r^2 \frac{h}{3}[/tex], so by plugging in the radius (6) and height (8), and using 3.14 as pi, you can get 301.44 as the total volume.
Since it is volume, it is in inches cubed, Therefore, the final answer is 301.44 cubic inches.
I hope this helps! :)
write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)
Answers
whats -2 - 19t if t=-1
Answers
Answer:
17
Step-by-step explanation:
-2 - 19 x -1
-2 + 19(because two negatives make a positive)
17
Answer:
17 is the answer.
Step-by-step explanation:
Given:
t = -1Let's substitute.
=> -2 - 19t
=> -2 - 19(-1)
=> -2 - (-19)
=> -2 + 19
=> 17
Therefore, 17 is the answer.
Hoped this helped.
find the maclaurin series of the given function f(x)=ln(1-x)
Answers
Answer:
[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Step-by-step explanation:
1) the rule is:
[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]
2) according to the rule above:
[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]
finally,
[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.
Answers
Answer:
Step-by-step explanation:
Not near enough information to know.
I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)
The pool shape is important as well. No mention of the shape
If the pool is circular and the walkway is 3 ft wide
the fence encloses a diameter of 110/π = 35 ft
so the diameter of the pool would be 35 - 2(3) = 29 ft.
POOL IS RECTANGULAR from comments
If the pool is square and the walkway is 2 ft wide, each side of the fence is
110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.
There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.
Edit from comments
Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.
Let's say that we are told the pool is 12 ft wide with 2 ft walkway.
Let L be the pool length
110 = 2(12 + 2(2)) + 2(L + 2(2))
110 = 32 + 2L + 8
70 = 2L
L = 35 ft
how many units is -3 2/3 from zero on the number line
Answers
Answer:
It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.
Step-by-step explanation:
It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.
In a class of 30 students, 60% like math. How many students: Do not like math?
Answers
Answer:
12 students
Step-by-step explanation:
30×0.4=12.
So you take 40% ad write it as a fraction which is 40 4
—— = ——
100 10
So then you take 4 and divide by the bottom the times by the top like so…
——
10
First divide by the bottom : 30 divided by 10 = 3
Then times by the top : 3 x 4 = 12
Therefore 12 students dislike math!
What is the slope? X 0,1,2,3 y -5,-1,3,7
Answers
[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]
[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]
10 minus one third of a number is 4
Answers
Answer:
x = 18
Step-by-step explanation:
10 - x/3 = 4
=> - x/3 = -6
=> -x = -18
=> x = 18
Hoped this helped.
Answer: 18
Step-by-step explanation:
10 -1/3y = 4
1/3y = 10 - 4
1/3y = 6
y = 6 x 3 = 18
Question
Round to the nearest ten: 1,078
Answers
Answer:
7 = 7 * 10 = 70
Step-by-step explanation:
Answer:
• 1080
Step-by-step explanation:
How to Calculate Rounding to the Nearest Tens Whole Number?
If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.
Example:
1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030[tex] \: [/tex]
Write an equation in POINT-SLOPE for a line parallel to y=-2/3x+1 and goes through (5,-2)
Answers
Answer: y-(-2)=-2/3(x-5)
Step-by-step explanation:y-y1=m(x-x1)
Plug-in
Write a number using the following clues:
a multiple of 6
greater than 40, but less than 90
Answers
Answer:
48
Step-by-step explanation:
There are various multiples of 6 that are greater than 40, but less than 90. Including 42, 48, 54, 60, 66, 72, 78, and 84. :)
The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.
Answers
Answer:
The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.
What is the largest integer whose cube is less than 10,000?
Answers
Answer:
8 512 =8 X 8 X 8
Step-by-step explanation:
find the 99th term of the arithimic sequence 2, 5/2, 3, 7/2, ...
Answers
Answer:
99th term is 51
Step-by-step explanation:
Arithmetic sequence equation
a1= first term = 2
d= common difference = 0.5 or 1/2
2, 5/2 = 5/2 - 2 = 0.5 or 1/2
3 - 5/2 = 1/2
7/2 - 3 = 1/2
an = a1 + (n - 1)d
a99 = 2 + (99-1) 1/2
a99= 2 + 98 (1/2)
a99 = 2 + 49
a99 = 51
Use the numbers from the item bank down below to write the value of each expression
Answers
1. Value=206
2. Value=205
3. Value= 208
4. Value=207
Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12
Answers
Answer:
maybe it's 12 but i don't know...
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answers
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
What happens to the median of the data set below if the number 10 is added?
{2, 4, 8, 2, 7, 6, 18, 20, 24}
Answers
Answer:
The median goes up 0.5
Step-by-step explanation:
Before the number 10.
Mean x¯¯¯ 10.111111111111
Median x˜ 7
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 9
Sum 91
Quartiles Quartiles:
Q1 --> 3
Q2 --> 7
Q3 --> 19
Interquartile
Range IQR 16
Outliers none
After 10 is added.
Mean x¯¯¯ 10.1
Median x˜ 7.5
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 10
Sum 101
Quartiles Quartiles:
Q1 --> 4
Q2 --> 7.5
Q3 --> 18
Interquartile
Range IQR 14
Outliers none
It goes up .5.
.. Write the number word of 0.036???
Answers
Answer:
zero point zero three six
What is the value of x? Enter your answer in the
box.
Answers
Answer:
70⁰ + 30⁰ + x = 180 ( angle sum property (
100⁰ + x = 180
x = 80⁰
Paula's Pies is famous
for their apple pie. At
Thanksgiving, they receive
orders for 296 pies. If
Paula can prepare 8 pies
in 3 hours, then how many
hours will it take her
prepare the order?
(PLEASE MAKE THE WORK A RATIO TABLE!)
Answers
Sets of 8pies
296/8=37No if time for 8pies=3h
No of time for 37 sets of 8pies:-
3(37)=111hWhat location on the line would you find the constant of proportionality?
Answers
Answer:
2.4
Step-by-step explanation:
The constant of proportionality is y=kx which should 2.4
You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)
Answers
Answer:
Do PRT: 5009.31
Step-by-step explanation:
Princable: 5000
Rate: 2.5
Time: 10
Answer: