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.True or False: 2(5m-n) is in simplified form?
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
You can still simplify by distributing 2 to 5m and n
The simplifyed version would be 10m-2n
Will give BRAINLIEST to answer these three questions
Answer:
2.Post Office, Library, Park, Town Hall
3.2/6, 3/9, 4/12, 6/18
4. less than 1/2 in.: 1/8, 5/16
equal to 1/2 in.:8/16
more than 1/2 in.:5/8, 9/16, 15/16
Step-by-step explanation: Comment if you want the explanation.
Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats cereal, there are 4 grams of fiber in one cup. Let x represent the number of cups of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week. Which inequality represents the situation if the cereal Will ate this week contained at least 30 grams of fiber?
a)5x + 4y ≥ 30
b)4x + 5y ≥ 30
c)4x + 5y ≤ 30
Answer:
A.
Step-by-step explanation:
Answer:
a. 5x + 4y ≥ 30
Step-by-step explanation:
for edge 2020:)
Help me with this pls.
Answer:
Area of figure is 51 cm²
Step-by-step explanation:
We need to find the area of the figure given.
The figure is basically a combination of 3 rectangles.
Adding area of all the rectangles will give the area of the figure.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Area of rectangle 1:
Length = 7 cm
Width = 3 cm
The area will be:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]
The area of rectangle 1 is 21 cm²
Area of rectangle 2
Length will be: 7-4 = 3cm
Width will be: 3 cm
The area will be:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=3\times 3\\Area\:of\:rectangle=9 \:cm^2[/tex]
The area of rectangle 2 is 9 cm²
Area of rectangle 3
Length will be: 7cm
Width will be: 3 cm
The area will be:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]
The area of rectangle 3 is 21 cm²
The total area of the figure will be:
Area of figure = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of figure = 21+9+21
Area of figure = 51 cm²
So, Area of figure is 51 cm²
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of them. Angela also paid a $5 tip. How much did she pay in total.
Write your answer as an expression.
How much did Angela pay in total?
Answer:
(j/3)+5
thats the answer
A trapezoid has a set of parallel bases with lengths 3 inches and 5 inches and a helght of 8 inches. What is the area
the trapezoid?
Answer:
The area of trapezoid is 32 inches^2
Step-by-step explanation:
Parallel base 1 = a = 3 inches
Parallel base 2 = b = 5 inches
Height of trapezoid = 8 inches
We need to find area of trapezoid
The formula used is: [tex]Area\:of\:trapezoid=\frac{a+b}{2}\times h[/tex]
Now putting the values and finding area of trapezoid
[tex]Area\:of\:trapezoid=\frac{a+b}{2}\times h\\Area\:of\:trapezoid=\frac{5+3}{2}\times 8\\Area\:of\:trapezoid=\frac{8}{2}\times 8\\Area\:of\:trapezoid=4\times 8\\Area\:of\:trapezoid=32[/tex]
So, the area of trapezoid is 32 inches^2
In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the number of toys that the child plays with. Past experiments with many subjects have shown that the probability distribution of the number of toys played with is as follows:
X(number of toys) | 0 | 1 | 2 | 3 | 4 | 5
P(X) | 0.03 | 0.16 | 0.30 | 0.23 | 0.17 | 0.11
a) How many toys might you expect a child to play with?
b) What is the standard deviation of the number of toys played with?
c) Describe how you might carry out a simulation to estimate the mean number of toys played with (don't actually do that simulation, just set it up).
Answer:
a)15 b)2.34 c)by taking sum of number of toy divide to its numberings
Step-by-step explanation:
in roman a number of toys is equal to the sum of all toys and standard deviation is obtained from formulaWhat is the distance between the following points?
Answer:i got ten
Step-by-step explanation:
Answer:
é agora às vezes
Step-by-step explanation:
Name each of the points on the coordinate plane and find the distance between C and D.
Answer:
[tex]\displaystyle d = 7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C(4, -5)
Point D(-3, -5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]\displaystyle d = \sqrt{(-3-4)^2+(-5+5)^2}[/tex]Subtract/Add: [tex]\displaystyle d = \sqrt{(-7)^2+(0)^2}[/tex]Exponents: [tex]\displaystyle d = \sqrt{49+0}[/tex]Add: [tex]\displaystyle d = \sqrt{49}[/tex]Evaluate: [tex]\displaystyle d = 7[/tex]y=6x−7. Identify the x-intercept.
Answer: x = 7/6
Step-by-step explanation:
X intercept is when y = 0.
Set y = 0
0 = 6x - 7
Add 7 to both sides
7 = 6x
Divide by 6
x = 7/6
Answer:
x = 7/6
Step-by-step explanation:
When finding the x-intercept using slope intercept form. Substitute 0 for y and solve for x.
0 = 6x - 7
~Add 7 to both sides
7 = 6x
~Divide 6 to both sides
7/6 = x
Best of Luck!
19. Which property of equality is illustrated below?
If 7+9= 11 +5 and 11 + 5 = 16, then 7+9 = 16
A. Transitive
B. Substitution
C. Reflexive
D. Symmetric
Round the fraction to the nearest 1/2.
1/9
A. 0
B. one-half
C. 1
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 the constant of proportionality in this relationship ???? Help fast !!!
Answer:
3.28
Step-by-step
(3,18.85)
(2,12.57)
18.85-12.57/3-2=3.28
what is 9/10 ÷ 3/5 will give brainlist
Answer:1.5
Step-by-step explanation:
4. Kiran's uncle is 54 years old. He is 8 years older than three times Kiran's age. Find Kiran's age,
Kiran's age = x
Uncle's age = 54
Also,
Uncle's age = 8 + 3x
Now,
8 + 3x = 54
3x = 54 - 8
3x = 46
x = 46/3
x = 15.33
x = 15 (rounded)
What is the value of the expression when x=4?*
4x3 + 4x
Answer:
38
38 38 38 38 38 38 38 38okay so all you're going to do 4 * 3 + 4 * 4 what is going to give you 12 +16
4x + 2y = 4
Is y a function of x?
Ratio of 200m and 1km.
Answer:
1 : 5
Step-by-step explanation:
→ Convert 1km into metres
1000
→ Put in ratio format
200 : 1000
→ Simplify
1 : 5
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
9x^2-36x+16
A.True
B.False
Step-by-step explanation:
9x² - 36x + 16
= (Ax - B)² = A²x² - 2ABx + B².
By Comparing Coefficients, we have:
A² = 9,
2AB = 36,
B² = 16.
It is obvious that A = 3 and B = 4.
However 2AB = 2(3)(4) = 24 which is not equal to 36.
Hence 9x² - 36x + 16 is not a perfect square trinomial.
Answer:
False
Step-by-step explanation:
The polynomial cannot be factored.
41.628 divid by 1,000
Answer:
41.628
Step-by-step explanation:
i dont know how but that is what the calculator said
what is 8% of 24?
im just putting this here bc it too short
If A represents the hypotenuse of this right triangle, which equation could
you use to find the value of A?
Answer:
its option D......im 100 percent sure
Answer:
d
Step-by-step explanation:
Solve 18.2 = y - 11 for y.
Answer:
y = 29.2
Step-by-step explanation:
18.2 = y - 11
To solve the above equation, do the
following:
Collect like terms
18.2 + 11 = y
y= 29.2
Hope it helps!
Answer:
29.2
Step-by-step explanation:
.............................
Alex has a collection of cards: 4 are black, 2 are blue, 3 are white, and 1 is brown. What is the probability that he will pick a black card twice without replacement?
Ricardo has r minutes left on his cell-phone card. He wants to call his friend and still have 8 minutes left over to make calls later. Which expression describes the length of time he can talk to his friend?
A. 8 – r
B. 8r
C. r + 8
D. r – 8
Answer:
I would go with r - 8
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
if you subtract r by 8 then you will get the remaining minutes left on ricardo's cellphone card. Lets say r=20 so, 20-8=12. therefore, Ricardo would be able to call his friend for 12 minutes. hope this helped
WILL GIVE BRIANLESST
Answer:
I would say number 2
Step-by-step explanation:
hope this helped
Answer:
B.(-1,3)
you just have to count up 6 points above from where the first car is parked,once you count up 6 thats where the second car parked.
hope that helped you out:)
please mark me brainiest
m is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
[tex]m \propto\ r^3[/tex]
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
[tex]m = kr^3[/tex]
Given
r=3,m=216
Putting the values
[tex]216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8[/tex]
The equation will now become
[tex]m = 8r^3[/tex]
Putting r = 5
[tex]m = 8(5)^3\\m = 8 * 125\\m = 1000[/tex]
Hence,
The value of m is 1000 for r=5
SOMEONE PLZ GELP WITH NUMBER ONE.
Answer:
900
Step-by-step explanation:
Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.
total measure of the starred angles = 4 * 360 - 180
total measure = 900 degrees
Please help what is the answer