The smallest possible perimeter of an acute triangle with the longest side of 30 inches and two congruent sides is 40.96 inches by applying the triangle inequality theorem.
For an acute triangle, the longest side or hypotenuse must be less than the sum of the other two sides, this is known as the triangle inequality theorem.
Given that the longest side of the triangle measures 30 inches, and the two remaining sides are congruent, we can use the triangle inequality theorem to find the smallest possible perimeter of the triangle.
If we call the length of the other two sides x, then we know that x+x>30, so x>15.
The smallest perimeter is then 2x+30.
The smallest possible perimeter of the triangle, rounded to the nearest hundredth is 40.96 inches.
So the answer is 40.96 in.
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The question is -
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. What is the smallest possible perimeter of the triangle, rounded to the nearest hundredth? 40.96 in. 51.22 in. 72.44 in. 81.22 in.
Write the equation of the line in slope-intercept form that goes through the points (4, -2) and (8, -9)
Answer:
y = 17/6 x - 40/3
Step-by-step explanation:
Slope-intercept form: y = mx + b
First, let's find the slope:
slope formula: (y2-y1) divded by (x2-x1)
(4, -2) and (8, -9)
(-9 - 8) divded by (-2 - 4) = 17/6
We found m, now we have to find b.
The new equation: y = 17/6 x + b
Insert any of the two points, in this case, I'll insert (4, -2)
-2 = 17/6 (4) + b
-2 = 68/6 + b
b = -2 - 68/6
b = -40/3
Overall equation: y = 17/6 x - 40/3
Daniel's school is selling tickets to a choral performance. On the first day of ticket sales the
school sold 1 adult ticket and 3 child tickets for a total of $39. The school took in $87 on the
second day by selling 5 adult tickets and 3 child tickets. Find the price of an adult ticket and the
price of a child ticket.
Answer:
Your answer.
Adult ticket = 12
Child ticket = 9
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
The length of a rectangle is three times its width.
If the width is represented by x, what is the
perimeter of the rectangle, in terms of x?
Answer:
perimeter:- 8x
Step-by-step explanation:
since,
length= 3(width)
length= 3x
and, perimeter= 2(l + b)
= 2(3x + x)
= 2(4x)
perimeter = 8x
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
corresponding alternate interior alternate exterior none of these
Answer:
From left to right, top to bottom: 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are cooresponding angles, 1 and 2 are alterante interior angles.
Answer:
We will go in order.
first-None of them
second-Alternate exterior
third-None of them
forth-Corresponding
and Fifth-Alternate Interior
Step-by-step explanation:
just took test
PRECIZATI COORDONATELE PUNCTELOR DIN FIGURA DE MAI JOS STIIND CA PUNCTUL 0 ESTE ORIGINEA AXEI NUMEREOR
Answer:
gb! gxhkvjbuckkfkdjfjxlx?xlfkfjjmf la lfldkejnfnfmfkkfkf
Researchers in plant growth are investigating the proportions of seedlings that sprout under two environmental settings in a lab experiment. Let pˆC represent the sample proportion of seedlings that sprout in garden C, and let pˆH represent the sample proportion of seedlings that sprout in garden H. For random samples of 100 garden C seedlings and 100 garden H seedlings, the sampling distribution of the difference between sample proportions pˆC−pˆH has σpˆC−pˆH≈0.051. Which of the following is the best interpretation of σPˆC−PˆH≈0.051 ?
Answer:
E
Step-by-step explanation:
For all random samples of 100 garden C seedlings and 100 garden H seedlings, the average distance of all possible differences between sample proportions pˆC−pˆH from the mean of the sampling distribution is approximately 0.051.
Help Plz
You are playing a game that requires flipping a coin twice. Use a sample space to determine whether flipping heads and then tails are independent events.
Answer:
Yes , it is independent
Step-by-step explanation:
independent
I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.
Which problem matches the given inequality? d > 12.75 Chelsea spent $12.75. Chelsea spent about $12.75. Chelsea spent less than $12.75. Chelsea spent more than $12.75.
Answer:
Chelsea spent more than $12.75
Step-by-step explanation:
To solve this problem we should understand the meaning of signs first.
sign (<) → less than
sign (>) → more than
sign (=) → equal to
sign (≤) → Not more than
sign (≥) → At least
If the statement is,
"Chelsea spent more than $12.75"
d > 12.75
Therefore, Chelsea spent more than $12.75 is the correct statement.
Answer:
Chelsea spent more than $12.75.
Step-by-step explanation:
bc ik.
el peso de una moneda de 5 es 7.07 geamos si tienes 1000 monedas de $5, ¿cuantos pasaran en total?
Answer:
Please translate this to English so I can help you?! :)
Step-by-step explanation:
keusisdnrnsusjdhhrnrksysskrkridbebrb thank you
Answer:
ur welcome
Step-by-step explanation:
Two rectangles we're used to form the following figure. Which measurement is closest to the area of the shaded region of this figure in square inches
Answer:
44 cm
Step-by-step explanation:
You have to find the area of the bigger square and find the area of the smaller one. (Width x Height). Then subtract the smaller rectangle from the bigher one
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
are 7/18 and -21/-56 are equivalent
Answer:
yes they are equivalent. if you simplify -21/-56 by dividing it by 3 you will get -7/-21 which equals to 7/21
Find the value of x
x°
66°
117°
Answer:
x = 51 degrees
Step-by-step explanation:
Keep in mind, the angles of a triangle add up to 180 degrees.
A flat line also equals 180 degrees.
First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.
180 - 117 = 63
Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)
63 + 66 + x = 180
Then, you solve for x:
(63+66) + x = 180
129 + x = 180
-129 -129
x = 51
Hope this helps :)
There are 6 dogs and 12 cats in the backyard. Write the ratio of cats to total animals In 3 ways, in simplest form.
Step-by-step explanation:
12:18
12 to 18
12/18 = 2/3
11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.
[tex]envo \: car = 65 + 0.10(m)[/tex]
[tex]freedom \: ride = 80 + 0.05(m)[/tex]
//
I honestly don't know how to do a)
//
[tex]envo \: car = 65 + 0.10(250) = 90.00[/tex]
[tex]freedom \: ride = 80 + 0.05(250) = 92.50[/tex]
He should rent from Envo Car because it would be cheaper.
PLS PLS help!
Type an equation of a parabola that is moved down 2 units, stretched vertically by a factor of 3, and moved left 5 units.
9514 1404 393
Answer:
y = 3x^2 +30x +69
Step-by-step explanation:
Transformations work this way:
g(x) = k·f(x) . . . . vertical stretch by a factor of k
g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)
__
So, the translation down 2 units will make the function be ...
f(x) = x^2 ⇒ f1(x) = f(x) -2 = x^2 -2
The vertical stretch by a factor of 3 will make the function be ...
f1(x) = x^2 -2 ⇒ 3·f1(x) = f2(x) = 3(x^2 -2)
The horizontal translation left 5 units will make the function be ...
f2(x) = 3(x^2 -2) ⇒ f2(x +5) = f3(x) = 3((x +5)^2 -2)
The transformed function equation can be written ...
y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)
y = 3x^2 +30x +69
__
The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.
The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answer:
x=20
Step-by-step explanation:
76+44+3x=180
120+3x=180
-120 -120
3x=60
60/3=20
20(3)+120=180
Triangles add up to 180.
Hope this helps! :)
NO ONE IS HELPINNGGGG PLZZZZ 30 PTS +brainliest
Answer:
360
Step-by-step explanation:
all quadrilateral angle sums are 360° no matter how you change it
Which group contains triangles that are similar for brainliest
Answer:
its the second one of course
Step-by-step explanation: plz mark brainliest
Answer:A
Step-by-step explanation:
Because yes
What is the image of M(11,-4) using the translation (x,y) →x-17, y + 2?
A. M'(-6,-2)
B. M'(6,2)
C. M'(-11,4)
D. M'(-4,11)
Answer:
https://cdn.kutasoftware.com/Worksheets/PreAlg/Reflections%20of%20Shapes.pdf
Step-by-step explanation:
pls search this
Answer:
A. M'(-6,-2)
Step-by-step explanation:
one less than twice a number equals 9?
Answer:
X x 2 = 9 - 1 is your expression I am pretty sure
The percent of change in the test scores was 12%. If the amount of change was 6 points, what was the original number of points?
Answer:
Step-by-step explanation:
100(a+6-a)/a=12
100(6)/a=12
600=12a
a=50
x² + 2xy ty = 144
(x+y)³= ?
Answer:
t=144x3+432x2y+432xy2+144y3−x2
2xy2
Step-by-step explanation:
Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.
% of 25 shirts is 8 shirts.
Answer:
32% of 25 is 8
Step-by-step explanation:
Simplify the mathematical expressions and arrange them in order of their values from least to greatest. ↓ ↓ ↓ ↓
Answer and Step-by-step explanation:
To simplify algebraic expressions, follow the basic rules:
1. Remove brackets or parentheses by multiplying factors;
2. Use exponent rule to remove grouping, if terms have exponents;
3. Add or subtract like terms;
4. Combine constants;
In the expressions above, there only constants and scientific notations, i.e., exponents elevated on a base 10. So, to simplify, we multiply the numbers and add the exponents:
(4.27 x 10⁸)(9.2 x 10⁻⁵) = 39.28 x 10³
(6.96 x 10⁵)(8.43 x 10⁻²) = 58.67 x 10³
[tex]\frac{(7.25.10^{5})(9.36.10^{-7})}{(7.95.10^{-2})(4.13.10^{-3})}=[/tex] 2.07 x 10³
[tex]\frac{(8.32.10^{4})(9.67.10^{1})}{(7.56.10^{11})(5.79.10^{-8})}[/tex] = 1.84 x 10²
[tex]\frac{(1.89.10^{4})(5.92.10^{3})}{(2.74.10^{-2})(4.67.10^{2})}=[/tex] 0.875 x 10⁷
All the exponents are positive, which means, comma "moves" to the right.
The numbers arranged from least to greatest will be
1.84 x 10² < 2.07 x 10³ < 39.28 x 10³ < 58.67 x 10³ < 0.875 x 10⁷
You have three shirts and four pairs of pants. How many outfits consisting of one shirt and one pair of pants can you make?
Answer:
3
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
3 x 4 = 12
Graph the linear equation y=2.
Answer:
Here is a picture of how you will graph this equation
Step-by-step explanation:
Hope this Helped
Answer:
Slope= 0 Y-intercept= (0,2)
Step-by-step explanation: