Which is the area of triangle LMN? Group of answer choices 24 square units 27 square units 54 square units 48 square units
Answers
Answer:
√65/2 square units
Step-by-step explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
To get the base and height, we will use the distance formula;
Area of the triangle LMN = 1/2 * LM * MN
For MN
Given the coordinate M(3, 2) and N(1, 3)
MN = √(3-2)²+(1-3)²
MN = √1²+(-2)²
MN = √1+4
MN = √5
For LM;
Given the coordinate L(1, -1) and M(3, 2)
LM = √(2-(-1))²+(3-1)²
LM = √(2+1)²+(2)²
LM = √3²+(2)²
LM = √9+4
LM = √13
Area of the triangle LMN = 1/2 * √13 * √5
Area of the triangle LMN = √65/2 square units
Related Questions
f(x)=x^2-3x+2 find f(2)
Answers
Answer:
[tex]y=x^{2} -3x+2[/tex]
Step-by-step explanation:
Give me Brainllest plz T-T
Answer:
0
Step-by-step explanation:
2 in.
2 in.
2 in.
Fine the area
Answers
V=8
be smart and help me please i can’t fail again i will give branliest
Answers
Answer:
28%
Step-by-step explanation:
12+34+7=2856
Then, 2856/100 to get the percentage.
help appreciated xx
:)
Answers
Answer:
13pts
Step-by-step explanation:
If you're asking how many pints 6 qt and 1 or is then I believe it is 13 pt
Write an equation in standard form for a line that is perpendicular to the line with an equation of y = 3x —5 that passes through the point (8, 5).
Answers
Answer:
x + 3y = 23
Step-by-step explanation:
m = -1/3, find 'b'
5 = -1/3(8) + b
15/3 = -8/3 + b
23/3 = b
y = -1/3x + 23/3
multiply each side by 3 to get:
3y = -x + 23
x + 3y = 23
which expression represents 12x³-6x²+2x /
2x in simplest form?
Answers
Answer:
[tex]6x^{2} -3x+1[/tex]
Step-by-step explanation:
[tex]2x(6x^{2} -3x+1)/2x\\[/tex]
cancel 2 x
[tex]6x^{2} -3x+1[/tex]
.
What is the perimeter of this tile?
3 in.
3 in.
Answers
Answer:
I think it's 12
Step-by-step explanation:
Evaluate the expression below for x = 4 6 (x +7)
Answers
Answer:
D. 66
Step-by-step explanation:
6×(4+7)
6×11
=66
The length of two sides of a triangle are 4 inches and 7 inches.
What is the area to that triangle?
Answers
Answer:
Hi! answer: Area = 14
Step-by-step explanation:
When finding area we do base x height ÷ by 2
So I do 7 x 4 = 28 then I divide that by 2 and get 14 Hope this helps!
Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2
A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4
Answers
9514 1404 393
Answer:
B. x^4/4
Step-by-step explanation:
[tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answers
Answer:
D.infinitely many
try it you'll see
someone help me with this I would really appreciate it !
Answers
Answer:
V = 126 [tex]mi^{3}[/tex]
Step-by-step explanation:
Volume of a pyramid is V = [tex]\frac{lwh}{3}[/tex]
l = length
w = width
h = height
width is 6 mi
length is 7 mi
height is 9 mi
V = [tex]\frac{6*7*9}{3}[/tex]
V = 126 [tex]mi^{3}[/tex]
A triangle has sides with lengths of 9 feet, 14 feet, and 15 feet. Is it a right triangle?
Answers
Answer:
No its not, because if you use the pythagorean theorem formula 9 and 14 will not equal 15. So it wouldn't make it a right triangle.
hello whats this ? ill give brainliest
Answers
Answer:
congruent
Step-by-step explanation:
90+90=180
so not 0 or 270
and complementary means they add up to 90 and none of that is true
so it has to be congruent
I WILL GIVE BRAINLIEST!! I really need help with this question.
Answers
Answer:
x = 70°, y = 110° , z = 85°
Step-by-step explanation:
∠ BEA and ∠ CDA are corresponding angles and congruent , then
x = 70°
x and y are adjacent angles and sum to 180°
x + y = 180°
70° + y = 180° ( subtract 70° from both sides )
y = 110°
∠ ABE and ∠ ACD are corresponding angles and congruent , then
z = 85°
Shannon is purchasing a government bond with a par value of $800 and a price quote of 101.524%. What is the price of the bond?
Answers
Answer: $812.192
Step-by-step explanation:
The price of the bond will be gotten by multiplying the par value by the price quote. This will be:
Price of bond = Par value × Price quote
Price of bond = $800 × 101.524%
Price of bond = $800 × 1.01524
Price of bond = $812.192
Therefore, the price of the bond is $812.192.
You can complete
to keep. ALL TESTS ARE DUE ON MONDAY, MAY 3rd! This will count as
grade.
MATH
NATION
A square has sides of length s. A rectangle is 6 inches shorter than the square and 1 inch longer.
Which of the following expressions represents the perimeter of the rectangle?
Answers
Answer:
Step-by-step explanation:
Length of rectangle: s +1
Width of rectangle: S -6
Perimeter of rectangle:2(s+1+s-6)=2(2s-5)=4s-10
Joey is trying to determine the average weight of a frog found at his high school's pond. The Algebra II class randomly selects 50 frogs from the pond and weighs them. Their results are shown. What is the likelihood that a frog's weight was between 5.2 and 5.4 ounces, inclusive?
Answers
Answer:
0.06
Step-by-step explanation
A polr has a shadow that is 15 feet long.Mary is 4 feet tall and her shadows is 10 feet tall how tall is the pile
Answers
Answer:
The pole is 6 feet tall.
Step-by-step explanation:
The height makes the perpendicular and the shadow makes the base of the triangle in the given question
Pole Mary
Height x 4
Shadows 15 10
If the height is taken along y- axis and shadow is taken along x axis
Then
tan alpha = Perpendicular/ base
for Mary Tan alpha = 4/10
For the pole = tan alpha = x/15
Comparing x/15= 4/10
x= 4*15/10= 60/10= 6
The pole is 6 feet tall.
please help with question 5
Answers
I might be wrong
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answers
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
what does T equal?? pls help
Answers
Jade has tax deducted from her income at the rate of 24%.
Last month, after tax had been deducted, $1786 of her income remained.
Calculate her income last month before the tax was deducted.
Answers
Answer:
$2350
Step-by-step explanation:
Let Jade's total income be X
Therefore,the tax deducted was 24%x
Forming an equation:
X= 24%x + 1786
X = 0.24x + 1786
Collecting like terms
x - 0.24x = 1786
0.76x =1786
x= 1786 ÷0.76
X= $2350
Mhanifa please help i will mark brainliest :)
Answers
Answer:
YesStep-by-step explanation:
Given triangles:
ΔTUV and ΔXYZVerify the ratio of corresponding sides:
TU/XY = 15/35 = 3/7UV/YZ = 21/49 = 3/7TV/XZ = 18/42 = 3/7Since the ratios are same, the triangles are similar
x y
1 13
2 15
3 17
4 19
5 21
The table above represents what type of function?
A.
neither linear nor nonlinear
B.
linear
C.
linear and nonlinear
D.
nonlinear
Answers
Answer: Hewo, there! your answer is Below.
B.
linear Would be my answer because it's arranged in or extending along a straight or nearly straight line.
Step-by-step explanation:
Hope this helps!!
have a great day!!!]
-August-
evaluate the following intervals
x^-4dx
Answers
Answer:
simplified:
[tex]\frac{d}{x^3}[/tex]
and Find the integral if that's what you also wanted:
[tex]-\frac{1}{3x^3} +3[/tex]
A collection of nickels and dimes is worth 25 dollars. There are twice as many nickels as dimes. How many of each are there? Use let statements and solve algebraically.
May I please get an explanation too?
Answers
A dime is 0.1$ and a nickel is 0.05$. The total number of them should give 25$.
The number of nickels are twice the number of dimes. So lets call the number of dimes X, then the number of nickels should be 2X.
Putting it in a formula: 0.05(2X) + 0.1X = 25.
Then by solving we get:
0.1X + 0.1X = 25
0.2X = 25
X = 25/0.2 = 125
Rooms in a hotel are numbered from 1 to 19.
Rooms are allocated at random as guests arrive.
(a) What is the probability that the first guest to arrive is given a room which is a prime number?
(1 is not a prime number.)
(b) The first guest to arrive is given a room which is a prime number.
What is the probability that the second guest to arrive is given a room which is a prime number?
Answers
Answer:
a) 8/19 chance
b) 7/19 chance (I'm not 100% sure)
Step-by-step explanation:
A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19
In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place?
Answers
Answer:
the 9 in the tenths place is 10 times more than the one in the hundredths place
Step-by-step explanation:
Given that
There is a number i.e. 3.9928
Here we need to compare the value of the 9 in the tenth place to the value of the 9 in the hundredth place
The 9 in the tenth place has a value of 0.9
And, The value of 9 in the hundredth place contains a value of 0.09
So,
= 0.09 ÷ 0.9
= 0.1
= 1 ÷ 10
Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 100 grams, how long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
Answers
Answer:
19.3 years
Step-by-step explanation:
Given that the initial mass of a sample of Element X is 100 grams,
The formula is given as:
N(t) = No × (1/2) ^t/t½
Element X is a radioactive isotope such that every 30 years, its mass decreases by half.
N(t) = Mass after time (t)
No = Initial mass = 100 grams
t½ = Half life = 30 grams
N(t) = 100 × (1/2) ^t/30
How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
This means we are to find the time
N(t) = 100 × (1/2) ^t/30
N(t) = 64 grams
64 = 100(1/2)^t/30
Divide both sides by 100
64/100 = 100(1/2)^t/30/100
0.64 = (1/2)^t/30
Take the Log of both sides
log 0.64 = log (1/2)^t/30
log 0.64 = t/30(1/2)
t = 19.315685693242 years
Approximately = 19.3 years