[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]
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The diameter of a cylindrical water tank is 10 ft, and it's height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer:
864.05ft^2Step-by-step explanation:
Step one:
given data
diameter= 10ft
radius = 10/2= 5ft
height = 11ft
Step two:
Required
the volume of the cylinder
The expression for the volume of the cylinder is
v= πr^2h
substituting our given data
v= 3.142*5^2*11
v=3.142*25*11
v=864.05ft^2
Find the slope of the line that passes through
(10, 1) and (6,2)
Answer:
m=-1/4
Step-by-step explanation:
2-1/6-10=1/-4
-1/4 is the slope
Answer:
slope is y2-y1/x2-x1
so slope is 1/-4
answer is -1/4
Solve the system of linear equations by graphing y= -x+4 and y= 2x-8 what is the solution
Answer:
4=x
Step-by-step explanation:
y=-x+4
y=2x-8
-x+4=2x-8
+x +x
4=3x-8
+8 +8
12=3x
/3 /3
4=x
Is the value of the expression greater than 1, equal to 1, or less than 1?
3^-3
Answer:
less than one if you're math is right you should know
Step-by-step explanation:
1 is always less than 3^-3
Need ASAP. I will mark BRAINLIEST .
Answer:
1. M‘(-5, 6), N’ (1, 0), P’(-4, 2)
2. E’(2, 7), F’(6, 6), G’(4, -2), H’(0, -1)
3. Q’(-4, 0), R’(0, 2), S’(7, 0), T’(-5, -6)
4. X’(-8, 3), Y’(-1, 2), Z’(-2, -7)
Step-by-step explanation:
Just Graph these points.
You need to add or subtract to the x or y to get these. For example for M(-6, 1) I added 1 to x to get -5 and added 5 to y to get 6.
Select two ratios that are equivalent to
what are ratios are equivalent to 2:9
Answer:
3,18 4,27
Step-by-step explanation:
Answer:
4:18 and 6:27
Step-by-step explanation:
Since ratios can also be written as a fraction, multiply the fractions by any whole number of your choosing.
2/9*2=4/18
2/9*3=3/27
MARKING PEOPLE AS BRAINLIST ARE THE TRRIANGLES CONGRUENT HOW DO YOU KNOW? Please help thank you :)
Write the translation notation for 2 units left and 3 units up
Answer:
(-2,3)
Step-by-step explanation:
The left and down is negative and right and up is positive
LOOK AT THE PHOTO...What kind of line and which direction do you shade for this inequality y > 4x - 3? Line: solid; Shade: below Line: solid; Shade: above Line: dotted; Shade: below Line: dotted; Shade: above
Answer:
dotted, below
Step-by-step explanation:
it will be dotted because the values that are equal to positive y and are on the line are not includedyou shade below the line because the only possible solutions for y are the negative numbers and they go down the planeA lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of food. The lion has already consumed 9 pounds of food. How many more canisters x of food does the lion need to eat? Write your answer as an inequality.
Answer:
15 lbs total
1 canister - 3 lbs
lion has already consumed 9 pounds, "3 x 3 canisters of food"
15 - 9 = 6
6/3 = 2
the person needs to feed the lion 2 more canister
ANSWER IS 2
Step-by-step explanation:
4. Which of the following formulas can be used to write 0.797979... as a fraction?
Answer:
The options are not shown, so i will answer this in a general way.
When we have a number like:
0.7979....
The steps to writing it as a fraction are the following ones:
1) First, you need to notice the repeating decimals.
In this case is easy to see that the repeating decimals are two, 7 - 9
2)we can multiply this number by 10^n, where n is the number of repeated decimals, in this case n = 2
10^2 = 100
then:
0.7979...*100 = 79.7979...
Now we can subtract the original number:
79.7979... - 0.7979 = 79
And this is equivalent to have:
0.7979..*100 - 0.7979... = 0.7979..*99 = 79
Then we know that if we multiply our number by 99, the outcome will be an integer.
Then we can multiply and divide by the same number (this is equivalent to multiply by one) as follows:
0.7979...*1 = 0.7979..*(99)/(99) = (0.7979..*99)/99 = 79/99
Then:
0.7979... = 79/99
Answer:
[tex]S_{inf.} - \frac{\frac{79}{100} }{1-\frac{1}{100} }[/tex]
Pretend "inf." is the infinity symbol, I couldn't put the actual symbol. It's option B.
1 Find the area of the Circle below: Чcm
Answer:
A≈50.27
Or 16π
Step-by-step explanation:
Answer:
50.24cm
Step-by-step explanation:
plss can someone do this ive been trying for hourss
Answer:
(6+y) (6-y) / 6-y
Step-by-step explanation:
Answer:
Negative Infinity
The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -1.3 for its weight, how much does it weigh? Write your answer as a complete sentence.
Answer:
4.78 pounds
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 9.2 pound
σ is the population standard deviation = 3.4 pounds
z = 1.3
We are to find x
Hence,
-1.3 = x - 9.2/3.4
Cross Multiply
-1.3 × 3.4 = x - 9.2
-4.42 = x - 9.2
x = -4.42 + 9.2
x = 4.78 pounds.
Therefore the weight of the cat is 4.78 pounds
In triangle JKL what is the value of x° if JK = KL
A) 38°
B) 60°
C) 69°
D) 71°
Answer:
A: 38º
Step-by-step explanation:
Triangle JKL is an isosceles triangle as JK=KL:
That means ∠J=∠L=71ºThe sum of a triangle's interior angles is 180º, so ∠K=180º-∠J-∠L. We know ∠J=∠L=71º, so ∠K=180º-71º-71º=38In the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: H 0: μ = 9.7 hours H a: μ > 9.7 hours where μ is the mean running time of the new batteries . Explain the meaning of a Type I error.
Answer:
Step-by-step explanation:
From the information given:
[tex]\mathbf{H_o: \mu = 9.7 \ hours}[/tex]
[tex]\mathbf{H_1: \mu > 9.7 \ hours}[/tex]
The type 1 error is rejecting [tex]\mathbf{H_o}[/tex] when
The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.
solve the equation y-(-5)=x-0 for y
Answer:
y = x - 5
Step-by-step explanation:
[tex]y - ( - 5) = x - 0[/tex]
[tex]y + 5 = x[/tex]
[tex]y = x - 5[/tex]
After 4 new students joined a class, the class had 32 students.
Which equation can be used to find n, the number of students in the class before the 4 new students joined?
Answer:
32-4=n or 4+n=32
HELP WITH THIS QUESTIONS PLSSSSSS.
What is the slope of the line 0,-2 and 2, 8
Answer:
5
Step-by-step explanation:
-2-8/0-2
-10/-2
He calculates that these two periods account for 18% of minutes he spends at school. How many does he spend at school.
Answer:
26
Step-by-step explanation:
a sabeeeer
Step-by-step explanation:
Divide 4 1/4 by 2.
hey guys happy holidays! any help is appreciated :)
9514 1404 393
Answer:
yes
Step-by-step explanation:
The given line of reflection is a perpendicular bisector of every segment joining any figure point with its image. Hence the given image trapezoid is a reflection across the line of the given pre-image trapezoid.
__
For example, Line f is the perpendicular bisector of AA'.
What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division
Answer:
x=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
3x+45=60 solve for x
Answer:
x = 5
Step-by-step explanation:
you subtract 45 from both sides
3x = 15
you divide both sides by 3
x = 5
Answer:
x = 5
Step-by-step explanation:
4 -2x plus 5 when x =4
Answer:
1
Step-by-step explanation:
f(4)=4-2x+5
4-2(4)+5
4-8+5
1
Answer:
x=1
Step-by-step explanation:
4-2x+5
x=4 so substitute the x with 4.
4-2(x)+5
=1
Find the value of b if the two points (b,5) and (3b,7) have a slope of 10
Answer:
-20/3
Step-by-step explanation:
it would be 7-5/3b-b=10
2/3b-b=10 then multiply 2 on both sides
3b-b=20 divide 3 on both sides
20/3
-b=20/3
-b/1=20/3 cross multiply
-20/3
The value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1 and this can be determined by using the two point slope formula
Given :
Points -- (b,5) and (3b,7)Slope -- 10The formula of the slope when two points are given can be used in order to determine the value of 'b'.
The formula of the slope is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope of the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, substitute the values of known terms in the above formula in order to determine the value of 'b'.
[tex]\rm 10 =\dfrac{7-5}{3b-b}[/tex]
Simplify the above expression.
[tex]\rm 10 =\dfrac{2}{2b}[/tex]
Cross multiply in the above expression.
20b = 2
b = 0.1
So, the value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1.
For more information, refer to the link given below:
https://brainly.com/question/20786109
Which of the choices best describes this arithmetic sequence?
-3, 1, 5, 9, 13,...
Answer:
Add by 4
Step-by-step explanation:
-3+4=1
1+4=5
5+4=9
9+4=13
Oscar has 5 baseballs jerseys , 2 hockey jerseys , 1 basketball jersey and 3 football jerseys . What’s the ratio of hockey jerseys to the total number of jerseys
Answer:
2:9
Step-by-step explanation:
Answer:
2:11
Step-by-step explanation:
There are 2 hockey jerseys and 11 TOTAL. Total is including the hockey jerseys aswell
A gannet flies 24 1/2ft above sea level. It increases its elevation by 5ft. Then it dives and changes its elevation by -47 2/3ft. After it dives, what is the gannets elevation relative to sea level?
Answer:
Its elevation relative to the sea level is -18 1/6 ft (it is 18 1/6 below sea level)
Step-by-step explanation:
Here, we want to calculate the elevation relative to sea level
The sea level refer to the base of the sea
We follow the flight procedure;
distance of 24 1/2 ft above sea level , then go further up by 5
its elevation now is 24 1/2 + 5 = 29 1/2 ft
A change of -47 2/3 ft
So the elevation now will be;
29 1/2 - 47 2/3
= 59/2 - 143/3
= (177-286)/6 = -109/6
= -18 1/6 ft
the circumference of a child's swimming pool that has a radius of 3 feet.