[tex]\underline{\underline{\frak{\qquad Given :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x. The perimeter of the triangle is 99 cm.[tex]\underline{\underline{\frak{\qquad To\:Find :\qquad}}} \\ [/tex]
The measure of the sides of the traingle = ?[tex]\underline{\underline{\frak{\qquad Solution :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x.Perimeter of an equilateral traingle = 99 cm☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf Perimeter_{(of \: equilateral \: \Delta)} = 3a \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 3(3x) \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 9x\\ \\ \\ [/tex]
[tex]:\implies \sf x = \dfrac{99}{9} \\ \\ \\ [/tex]
[tex]:\implies \sf x = 11 \: cm \\ \\ \\ [/tex]
[tex]\bigstar \: \underline{\textsf{The measure of the sides of the equilateral traingle :}} \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3x \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3(11) \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\: \underline{ \boxed{\sf Side_{(of \: equilateral \: \Delta)} = 33 \: cm}} \\ \\ [/tex]
[tex]\therefore\:\underline{\textsf{The measure of the sides of the traingle is \textbf{33 cm}}}. \\ \\ [/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\underline{\frak{\qquad Verification :\qquad}}} \\[/tex]
[tex]\longrightarrow\: \sf 99 = 3(3x) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(3 \times 11) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(33) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf 99 = 99}}\\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf LHS = RHS}}\\ \\ \\ \\ [/tex]
[tex]\underline{\underline{\frak{\qquad Hence, Verified\qquad}}} \\ \\ [/tex]
══════════════════════════════════════════════════
please tell me if my answers are right
Identify the correct definition of the term. Angle
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
Convert 3 2/7 into improper fractions
21/7
23/7
41/7
None of the above
Three students Tahat, Promi and Kabi, Appeared at an examination. Promi secured 11 marks less than Tahat, 5 marks more than kabi and again. Tahat's marks were 75% of the sum of Promi and Kabi's marks. Find out their individual marks
Answer: Tahat= 40.5 marks Promi =29.5 marks, Kabi =24.5 marks
Step-by-step explanation:
Step 1
Let the marks be represented as x+11, x and x-5 for Tahat, Promi and Kabi respectively
and Tahat's marks which was 75% of the sum of Promi and Kabi's marks be expressed as
x+11 = 75/100(x + x-5)
Step 2 --- Solving
x+11 = 75/100(x + x-5)
x+ 11 = 3/4(2x-5)
x+11= 6x-15/4
4x+44=6x-15
44+15=2x
x= 59/2= 29.5,
A) x= Promi's mark was 29.5
B)Promi secured 5 marks more than kabi
Therefore, Kabi's mark was 5 marks less than Promi
= x-5
29.5- 5= 24.5 marks
C)Promi secured 11 marks less than Tahat, Therefore Tahat marks were 11 marks more than Promi
x+11= 29.5 + 11= 40.5
I can't figure this out :/
Answer:
I believe it is d because when you get to negatives they are always on the left side
Step-by-step explanation:
Plz help me answer this
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
13x - 6y = 22
x = y + 6
Step 2: Solve for y
Substitution
Substitute in x: 13(y + 6) - 6y = 22Distribute 13: 13y + 78 - 6y = 22Combine like terms: 7y + 78 = 22Isolate y term: 7y = -56Isolate y: y = -8Step 3: Solve for x
Define original equation: x = y + 6Substitute in y: x = -8 + 6Add: x = -2Three friends pay 1025 to rent a vacation home. Beth contributed $80 more than danny. Katie contributed $20 less than Beth. How much did Danny contribute?
Answer:
Danny contributed $295
Step-by-step explanation:
Assume that Danny contributed $x
∵ Danny contributed x
∵ Beth contributed $80 more than Danny
→ Add The amount of Danny by $80 to get the amount od Beth
∴ Beth contributed x + 80
∵ Katie contributed $20 less than Beth
→ Subtract the amount of Beth by 20 to get the amount of Katie
∴ Katie contributed x + 80 - 20
∴ Katie contributed x + 60
∵ The three friends pay $1025
→ Add their amounts and equate the sum by 1025
∴ x + x + 80 + x + 60 = 1025
→ Add the like terms in the left side
∵ (x + x + x) + (80 + 60) = 1025
∴ 3x + 140 = 1025
→ Subtract 140 from both sides
∴ 3x + 140 - 140 = 1025 - 140
∴ 3x = 885
→ Divide both sides by 3
∴ x = 295
∵ x represents the amount of Danny contributed
∴ Danny contributed $295
What is - 2 x 6 - 5^2?
Answer:
The answer is -300
Step-by-step explanation:
The answer is -300 because -2 multiplied by 6 is -12 and -12 times 25 is -300
YALL HELP PLEASE THANK U
Answer:
I am not getting this question
Step-by-step explanation:
Given Vertex (5,4) and focus (8,4)
It can be easily noticed that focus and vertex lie on the same horizontal line y = 4
Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.
(y−k)^2=4a(x−h)
a=8-5=3 as y coordinates are the same.
Since the focus lies to the left of vertex, a = 3
(y−4)^2=4⋅3⋅(x−5)
(y−4)^2=12(x−5)
is the equation of the parabola.
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider DU charges AED10 per month plus an activation fee of AED20. A second cellphone provider ETISALAT charges AED11 per month plus an activation fee of AED15. For what number of months is the cost of either cellphone provider the same?
Answer:
5 months
Step-by-step explanation:
One cellphone provider charges AED10 per month plus an activation fee of AED20.
If I used the services of this cellphone provider for x months, total charges for the services,
y = 10x + 20 --------(1)
Similarly, charges for the second cellphone provider for x months of uses will be,
y = 11x + 15 -------(2)
Input-output table for equation (1)
x 1 2 3 4 5
y 30 40 50 60 70
Input output table for equation (2)
x 1 2 3 4 5
y 26 37 48 59 70
From these tables, we find (5, 70) is a common point for both.
It reveals that after the uses of 5 months charges for both the cellphone providers will be same (y = $70)
use the distribute property to rewrite the following expression (6+15). your final answer should be in the form _(_+_).
what's in the blanks?
Answer:
3(2+5)
Step-by-step explanation:
The common number that both 6 and 15 can be divided by is 3
3x2=6 and 3x5=15
+Which number should you put in question mark ?
53 (3) 59
92 (4) 98
34 (2) 38
71 (?) 79
+Answer
A : 1
B : 5
C : 7
D : 9
E : no answer
Answer:
what is this I can't understand???
Amita's kitchen is rectangular with an area of 3 3 4 square meters. The width of the kitchen is 1 1 2 meters. What is the length, in meters, of Amita's kitchen?
Answer:
2 1/2 meters
Step-by-step explanation:
Amita's kitchen is rectangular with an area of 3 3 /4 square meters. The width of the kitchen is 1 1/ 2 meters. What is the length, in meters, of Amita's kitchen?
The formula for the area of a rectangle = Length × Width.
To find the length our formula becomes : Area/Width
In the question,
Area = 3 3/4 m²
Width = 1 1/2 m
Length of the rectangular kitchen
= 3 3/4 m² ÷ 1 1/2 m
= 15/4 m² ÷ 3/2 m
= 15/4 m² × 2/3 m
= 5/2 m
= 2 1/2 m
The length of the rectangular kitchen is 2 1/2 meters
P(2-r)-17=109 what is the answer
Answer:
126
P = -------------
2 - r
Step-by-step explanation:
Solve for P: P(2-r)-17=109
Combining the constant terms:
P(2 - r) = 126
Dividing both sides by (2 - r) isolates P:
126
P = -------------
2 - r
Please help me I don’t get this
Answer:
16ft.
Step-by-step explanation:
4+6+9=16ft
Note:
hope this helps u out :)
Also please mark brainliest
ABCD is a parallelogram which statements are true
Plzz what the answer I’m stuck
Answer:
the answer to your question is 576 square feet
Step-by-step explanation:
Step 1: 96 ÷ 4 = 24
Step 2: 24×24 =576
What's the value of 6.8(98.44−84.29)+33.1??
Answer:
129.32
Step-by-step explanation:
You multiply 6.8 by both values in the parenthesis and then subtract that number and lastly, take that value and add it to 33.1 which equals 129.32
129.32 hope this helps.
Chad worked for 4 3/5 hours and earned $34.73.
How much would he make if he worked for 6 1/5 hours?
Enter your answer in the box.
$
Answer:
2.3
Step-by-step explanation:
Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20 drops. If the medicine comes in a 12 mL bottle, approximately how many days will the bottle last?
Answer:
The bottle will last for 20 days.
Step-by-step explanation:
Given that:
Number of drops in a dose = 4 drops
Dose is taken three times a day, therefore,
Number of drops taken in a day = 4*3 = 12 drops
One milliliter = 20 drops
12 mL = 20*12 = 240 drops
Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.
Number of days bottle will last = [tex]\frac{240}{12}=20[/tex]
Hence,
The bottle will last for 20 days.
what is this answer? :)
Answer:
the answer is b
Step-by-step explanation:
PLEASE PLEASE PLEASE!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______
Let C = _______
Answer:
C=CD N=RS
Step-by-step explanation:
Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.
bxjabcbkbkebwjbckjwStep-by-step explanation:
Answer:
this is step up very weird could you set it up a bit clearer?
Step-by-step explanation:
Stacy starts a savings account with $15. Each month she deposits 6$ more into her
account. Stacy now has $81 in her account. Write an equation, then solve, to find how
many months Stacy has deposited money into her savings account.
Answer:
After 11 months, Stacy will have $81 in her savings account.
Step-by-step explanation:
15 + 6m = 81
6m = 66
m = 11
The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the shipment the store received. How many pounds of tomatoes were originally received?
Will mark brainliest
Answer:
369
Step-by-step explanation:
28% 0f 288=80.64
228lbs sold + 80.64(Round off) =81 = spoiled =369
The functions u and w are defined as follows.
u(x) = 2x+2
w(x) = – 2x² +2
Find the value of w (u(2)).
Answer:
w(u(2)) = -70
Step-by-step explanation:
u(x) = 2x + 2
w(x) = -2[tex]x^{2}[/tex] + 2
w ( u (2) )
Find u(2), substitute in 2 for x in the function u.
u(2) = 2(2) + 2
= 4 + 2
= 6
w(u(2))
= w(6)
Now subsitute in 6 for x, in the function w.
w(6) = -2[tex](6)^{2}[/tex] + 2
= -2 * 36 + 2
= -72 + 2
= -70
w(6) = -70
w(u(2)) = -70
The scale of a boat model is
2 inches = 6 feet. The boat
model is 15 inches long. How
long is the actual boat?
Answer: well 2 times 15 = 30
30 times 6 = 180. So the boat is 180 feet long
Step-by-step explanation:
marking brainliest to whoever gives me the right andwe
what is 2/3 of the distance between the points U (-1,4) and B (8,5)
Answer:
6.037Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\U (-1,4)\quad\implies\quad x_1=-1\,,\ \ y_1=4 \\\\B (8,5)\quad\implies\quad x_2=8\,,\ \ y_2=5\\\\\frac12d=\frac23\sqrt{(8+1)^2+(5-4)^2}=\frac23\sqrt{81+1}=\frac23\sqrt{82}\approx6.037[/tex]
Jess earns 5% cash back at restaurants. If she spent $213 at restaurants
this month, how much cash back will she receive?
Answer: Jess will get $10.65