Answer:
According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is
A=
s(s−a)(s−b)(s−c)
where
s=
2
a+b+c
For the given triangle,
a=18 cm
b=24 cm
c=30 cm
s=
2
18+24+30
=36
A=
36(36−18)(36−24)(36−30)
A=
36×18×12×6
A=
216×216
=216 cm
2
Smallest side =18 cm
Area of the triangle =
2
1
×base×altitude=216
2
1
×18× altitude=216
Altitude =
9
216
=24 cm
Step-by-step explanation:
hope this will help
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ length \ of \ shortest \ altitude \ is \ 2.4\sqrt{6} \ units . }}}[/tex]
Step-by-step explanation:Here given measure of sides are 18 , 24 and 30 units. Firstly let's find the area of ∆ using Heron's Formula.
[tex]\boxed{\red{\bf Area_{\triangle} =\sqrt{s(s-a)(s-b)(s-c)}}}[/tex]
Where s is semi Perimeter . And here s will be ( 18 + 24 + 30 ) / 2 = 36 units .
[tex]\bf \implies Area = \sqrt{s(s-a)(s-b)(s-c)} [/tex]
[tex]\bf \implies Area = \sqrt{ 36 ( 36 - 18)(36-24)(36-30)}[/tex]
[tex]\bf \implies Area = \sqrt{ 36 \times 18 \times 12} [/tex]
[tex]\bf \implies Area = \sqrt{ 6^2 \times 6\times 6 \times 2 \times 3} [/tex]
[tex]\bf \implies Area = 6^2\sqrt{6} unit^2 [/tex]
[tex]\bf \boxed{ \implies Area_{triangle} = 36\sqrt{6} units^2} [/tex]
Also we know that ,
[tex]\boxed{\red{\bf Area_{\triangle} = \dfrac{1}{2}\times (base)\times (height)}}[/tex]
Let's find the altitudes now ,
Altitude on side of 18 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 18 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{18} \\\\\boxed{\bf\implies h_1 = 4\sqrt6 units }[/tex]
Altitude on side of 24 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 24 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{24} \\\\\boxed{\bf\implies h_1 = 3\sqrt6 units }[/tex]
Altitude on side 30 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 30 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{30} \\\\\boxed{\bf\implies h_1 = 2.4\sqrt6 units }[/tex]
Hence the lenght of shortest altitude is 2.4√6 units and its on the side of 30 units.what is the best estimate of the product 3 1/3 x 5/6
Answer:
8.611111
Step-by-step explanation:
brainliest plz
Find the area of a square with side length of 4x.
Answer:
16x²
Step-by-step explanation:
since all sides of a square are equal, we just multiply 4x by 4x. this gives us 16x².
The area of square with side length 4x is 16x.
What is Square?A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.
Given,
The side length of a square is 4x
We need to find the area of square.
As we know that area of square = 4a.
Where a is the length of side of a square.
In a square all the four sides will have same length.
a=4x
Area of square=4(4x)
=16x
Hence the area of square with side length 4x is 16x.
To learn more on Square click:
https://brainly.com/question/28776767
#SPJ2
need help with this please!!
Answer:
a 1/4 cuz perpendicular m × m original line is -1
Help please!!!! I’ll give brainilest
Who ever Answers first gets a good review
Answer:
Do we do all of them???
Step-by-step explanation:
What is the solution to the equation? 9−3x=12x+10
Answer:
-1/15
Step-by-step explanation:
Answer:
x=-15
Step-by-step explanation:
9-3x=12x+10
-10
-1-3x=12x
+3x
-1=15x/-1
Check all of the ordered pairs that satisfy the equation below.
A.
(21, )
B.
(7, 14)
C.
(21, 14)
D.
(42, 28)
E.
(14, 21)
F.
(28, 42)
Answer:
what is the y-coordinate for A?
Step-by-step explanation:
What is the slope in slope-intercept form for these graphs?
Answer:
Step-by-step explanation:
for this graph find rise over run , and where the line crosses they y axis.. sooo ..
it crosses at -2 and the slope is rise over run or y/x and I can see by the graph that the line goes up 1 when it goes over 1... so the slope is +1
sooo...
use the slope intercept form y = mx + b
y = 1x + (-2)
y = x - 2 :)
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.
what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25
Answer:
Contains the point (-3, 5) and is PARALLEL to the line x − 5y = 6. Solve the equation for "y":: 5y = x- 6 y = (1/5)x-(6/5) The slope is 1/5 ---- Equation of line with slope = 1/5 passing thru point (-3,5) (y-5)/(x+3) = 1/ ...
1.
A toy store is preparing for the
winter holiday season. The
manager is reviewing the current
inventory and comparing it to the
forecasted inventory needed that
is based on last year's sales.
What is the forecasted need for
board games?
Toy Inventory, 2016
The following are questions from a self-quiz.
According to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter. Suppose such an adult male is randomly chosen. Let X be height of that person. The next 2 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value.
a) The probability that the person is between 160 and 170 centimeters is
b) The probability that the person is higher than 190 centimeter is
Please state how you determined the probability from the standard normal table.
Answer:
0.0635 ; 0.1093
Step-by-step explanation:
Given that :
Mean (m) = 181
Standard deviation (s) = 7.3
Height = x
a) The probability that the person is between 160 and 170 centimeters
160 < x < 170
P(x < 160) - P(x< 170)
Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3
Z = - 1.51 ; Z = - 2.88
P(Z < - 1.51) - P(Z < - 2.88)
0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).
0.0655 - 0.0020 = 0.0635
b) The probability that the person is higher than 190 centimeter
P(x > 190)
Zscore = (x - m) / s
Zscore = (190 - 181) / 7.3
Zscore = 1.23
P(Z > 1.23) = 1 - P(Z < 1.23)
P(Z > 1.23) = 1 - 0.8907
P(Z > 1.23) = 0.1093
Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?
Answer:
She has 20 items on the list
Step-by-step explanation:
Answer:
if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.
What is n?
Input
- 1
0
1
2
3
4
Output
8
9
10
11
n
13
Answer:
Please show more info you can send photos so we can see better thanks
If f(x) = (4784), what is 13)?
Answer:
f(x)=4784
f(13)= 0 because there is x value on the right hand side
The slope of the line is m=3/4. One point is (x, 2) and (3,-4)
Find X
Please helppppp
Answer:
x = 11
Step-by-step explanation:
Given that,
The slope of the line, m = 3/4
First point = (x,2)
Another point = (3,-4)
We need to find the value of x.
The slope of a line is given by the formula as follows :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4
Put all the values,
[tex]\dfrac{3}{4}=\dfrac{-4-2}{3-x}\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11[/tex]
So, the value of x is 11.
a. [-1, 1]
b. [0, pi]
c. [-pi/2, pi/2]
d. -♾, ♾]
f(x) = sin(x)
Domain (–∞, ∞)
Range [–1, 1]
y = arcsine(x)
y = f–¹(x)
Domain [–1, 1]
Range [–π/2, π/2]
factorise x^2-3xy-18y^2
plzzzzz it's urgent
Step-by-step explanation:
here,
x^2 -3xy-18xy^2
=x^2-(6-3)xy-18xy^2
=x^2-6xy+3xy-18y^2
=x(x-6y)+3y(x-6y)
=(x-6y)(x-3y)
Convert:
5 m = ________mm
Answer:
5m = 5000 mm
Step-by-step explanation:
There are 18 football teams in a league,
Each team plays two matches against each of the other teams,
Work out the total number of matches played,
Answer:
306
Step-by-step explanation:
18x17=306
The total number of matches played by the teams will be given by using permutation is 306.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
There are 18 football teams in a league.
Each team plays two matches against each of the other teams.
Then the total number of matches played by the teams will be given by the permutation.
[tex]^{n}P_r = \dfrac{n!}{(n-r)!}[/tex]
We have
n = 18
r = 2
Then
[tex]\rm ^{18}P_2 = \dfrac{18!}{(18-2)!}\\\\\\^{18}P_2 = \dfrac{18!}{16!}\\\\\\^{18}P_2 = \dfrac{18 *17*16!}{16!}\\\\\\^{18}P_2 = 18*17\\\\\\^{18}P_2 = 306[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
ASAP Which inequality is shown in the graph
Answer:
sorry im not usre
Step-by-step explanation:
Answer:
y=-2x-3
Step-by-step explanation:
for the slope you count up 2 he count to the left 1 from the y-intercept
and for the y-intercept you look for the points of the line that cross the y Line
Ms. Duncan went to dinner with her family and the cost for her food was $42. She wants to
give a 20% tip. How much money should Ms. Duncan leave for tip? *
Answer:
Ms. Duncan should leave a $8.40. tip.
2. Rachel makes cranberry almond cookies. The number of cups of cranberries and the number of cups of almonds are shown in the table below. What is the ratio of cups of cranberries to cups of almonds?
Answer:
Step-by-step explanation:
By 2 for the first one. And for 2 they skip counting by 6
Help I really need help
Answer:
a. days 1 2 3 4 5
number of gallons 12 24 36 48 60
b. g = 12d (the number of days times 12)
c. a person uses 84 gallons of water for showering each week.
Step-by-step explanation:
each day is 12 gallons so just multiply the number of days by 12 to get how many gallons that you use in a set number of days. for the last one, a week is 7 days so if you do 7 x 12 then you get how many gallons a person uses in a week.
6 3/5 - 2 3/5 simplest form
Answer:
4
Step-by-step explanation:
2x2−3x−4=0 Solve using the quadratic formula.
Answer:
Step-by-step explanation:
2x2−3x−4=0
For this equation: a=2, b=-3, c=-4
2x2+−3x+−4=0
Step 1: Use quadratic formula with a=2, b=-3, c=-4.
x=
−b±√b2−4ac
2a
x=
−(−3)±√(−3)2−4(2)(−4)
2(2)
x=
3±√41
4
Which
graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Answer:
I believe the answer would be
Step-by-step explanation:
a graph that goes up and then is a straight line then it goes down.
In other words the graph would be A.
Raju has some amount saved in his piggy bank. His uncle gave him Rs. 50 as a birthday gift and now Raju has Rs 123 with him.Find how much money he had earlier? ( Write an equation and solve).
123-50=73
Step-by-step explanation:
its pretty basic, subtract the amount his uncle gave him from what he has now
Please help me I really need help
Answer:
5
7
9
11
13
Step-by-step explanation:
u just have to plot the x values into the x variable if that makes sense
here is an exampla
George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money.
Answer:
13.48
Step-by-step explanation: