Answer is below. Look at my explanation to understand my answer.
To see if these lengths can make a triangle, we can use the "triangle side theorem."
The formula is:
a + b > c
a + c > b
b + c > a
So, with that being said...
15 → A
36 → B
39 → C
So, we can use the triangle side theorem by adding A & B, A & C, and B & C.
If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.
So, let's add 15 and 36 to see if it can make a triangle.
15 + 36 = 51
If you read above, C is 39.
So, 51 > 39
15 + 36 > 39 ✓
Let's repeat this process again.
Instead of C, B is what we're now seeing if the sum is greater than it.
15 + 39 = 54
54 is greater than 36...
54 > 36
So it is true.
15 + 39 > 36 ✓
Now, A is what we're seeing if the sum is greater than it.
36 + 39 = 75
75 is greater than 15...
75 > 15
So it is true.
36 + 39 > 15 ✓
So yes, these lengths can make a triangle.
Let me know of any questions or concerns.
what is (50 + 100 * 70) / 65 + 97 - 84 * 50
Answer:
6,073.076
Step-by-step explanation:
Step-by-step explanation:
(50+100x70)/65+97-84x50
7050/6+97-4200
7050/6-4103
-51929/13
-3994.54
Hope that helps :)
please help i am providing all necessary info i will give brainliest
Answer:
Step-by-step explanation:
the virus test seems bad. 2 that were positive got away :0 they would continue to spread the virus and the world would be taken over by Zombies :/
Nate is buying a new car. He will pay $2000 today and then $500 a month for x months.
Write an equation that can be used to find y, the total cost of the new car.
Answer:
y = 2000 + 500x
Step-by-step explanation:
2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.
And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.
answer 2000 + 500 x M =y
F: 0- (-8)
G: -2 • 4
H: -2 + (-8)
J: -2 devided by 4
I would like help on this math problem please!
Answer:
4^11
Step-by-step explanation:
[(4^3)(4^4)]÷(4^1+4^-4)
using laws of indices
(4^3)(4^4)=4^(3+4)
=4^7
(4^1 +4^-4)=4^(1-4)
=4^-3
4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal
4^7/4^-3=4^(7-(-3)
=4^(7+3)
=4^11
The sum of 2 and the quantity 20 divided by n.
Answer:
[tex] \dfrac{2 + 20}{n} [/tex]
Step-by-step explanation:
[tex] \dfrac{2 + 20}{n} [/tex]
Answer:
I think your answer is 10
Step-by-step explanation:
A rectangular portrait is 4 feet wide and 4 feet high. It costs $9.00 per foot to put a gold frame around the portrait. How much will the frame cost?
Answer:
$144
Step-by-step explanation:
perimeter = 4 + 4 + 4 + 4 = 16 feet
16 x 9 = $144
The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is the distance that the particle traveled on this time interval?
Answer:
0.44237 units
Step-by-step explanation:
Given
[tex]v(t) = e^t*sin(e^t)[/tex]
[tex]0 \le t \le \frac{\pi}{2}[/tex]
Required
The distance traveled in this interval
We have:
[tex]v(t) = e^t*sin(e^t)[/tex]
The distance is calculated as:
[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]
So, we have:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]
Let:
[tex]u = e^t[/tex]
Differentiate
[tex]\frac{du}{dt} = e^t[/tex]
So:
[tex]dt = e^{-t} du[/tex]
So, we have:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]
Rewrite as:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]
Integrate:
[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]
Substitute [tex]u = e^t[/tex]
[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]
Split
[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]
[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]
[tex]d(t) = -0.09793 + 0.5403[/tex]
[tex]d(t) = 0.44237[/tex]
The distance traveled in this interval is: 0.44237 units
dt =
d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt
Find the length of the hypotenuse of a right triangle if both legs measure 14√6 inches.
Answer:
[tex]2\sqrt{42}[/tex] or 12.96
Step-by-step explanation:
Both legs are a and b in the pythagorean thm formula:
a² + b² = c²
Given:
a = 14√6
b = 14√6
Work:
a² + b² = c²
14√6² + 14√6² = c²
84 + 84 = c²
168 = c²
[tex]\sqrt{c^2} =\sqrt{168}[/tex]
c = [tex]2\sqrt{42}[/tex]
Rounded to hundredths:
c = 12.96
Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
Answer:
X = 40
Step-by-step explanation:
A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)
180 = 104 + 36 + x
180 = 140 + x
180-140 = x
40 = x
can someone tell me the answers pls ill give brainlist and points i have to solve each system by substitution pls answer and if your not gonna help pls don’t type anything it wastes my points:/
Since we're given y, we can substitute y into the first euqation...
-2x+3(3x+4)=19
-2x+9x+12=19
7x=7
x=1
hope this helps :D brainliest pls
What is the surface area to the nearest square inch ? If you answer correctly I will mark you as brainliest and give 20 points
Answer:
1473 in²Step-by-step explanation:
Surface area, including sides and the top lid:
S = πr² + 2πrh S = 3.14*7² + 2*3.14*7*30 = 1472.66 in² ≈ 1473 in² (rounded)Billy bought an iced tea for $1.79 and some tootsie rolls that were $0.13 each he spent a total of $2.83
Answer:
Whats the Question
Step-by-step explanation:
Answer:
I dont really understand the question but here what I got.
Step-by-step explanation:
1.73$+$0.13=1.86$
So he bought something else that cause 0.97$ to equal =2.83$
answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs
Given:
The circumference of a circle is 18.
Central angle of an arc is 120 degrees.
To find:
The measure of arc length.
Solution:
The arc length of a circle is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]
Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.
We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.
[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]
[tex]s=18\times \dfrac{1}{3}[/tex]
[tex]s=6[/tex]
Therefore, the length of the arc is 6 units.
Find the perimeter of the square with an area of 64 square feet using the equation P = 4s.
Answer:
32 ft
Step-by-step explanation:
s = number of sides
Area of a square = s²
64 = s²
[tex]\sqrt{64}[/tex] = s²
8 = s
P = 4s
P = 4(8)
P = 32
Answer:
P = 64
Step-by-step explanation:
Area ÷ 4 = One side length = 16
16 x 4 = 64
f(x) =x2-10x+18 Vertex and vertex form
Answer:
b. y=( x-5) /2-7 is your answer bro
help <33 PLEASR PLEASE
Answer:
104.06 m^2
Step-by-step explanation:
Area of square
22 X 22 = 484 m^2
Area of circle
3.14r^2
radius = 22/2
radius = 11
3.14* 11^2 = 379.94
484 - 379.94 = 104.06
Determine whether the game is fair: A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Joey wins if he pulls a red marble from the jar.
A. Fair
B. Unfair
Answer:
Well actually,its fair,because he has a higher chance
Step-by-step explanation:
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?
Answer:
25%
Step-by-step explanation:
So first, 5 answers is 50% of 10 questions
Then, if these problems have only 2 choices then 50%/2=25%
There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted
Answer: 12%
Step-by-step explanation:
Given
There are 70 dogs and 55 cats at the shelter
If 15 animals are adopted
Total no of animals =70+55=125
Percent of animals adopted is given by
[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]
The table shows the number of points scored by players on a basketball team.
a. Find the range and interquartile range of the data.
21,53,74,82,84,93,103,108,116,122,193(table)
The range is
points.
The interquartile range is
points.
Answer:
Given data:
21, 53, 74, 82, 84, 93, 103, 108, 116, 122, 193The range:
193 - 21 = 172The IQR is the difference of Q3 and Q1:
Q3 = 116, the median of upper half of dataQ1 = 74, the median of lower half of dataIQR = 116 - 74 = 42What is the the value of x. Pleaseeeee help I’ll mark you brainlist pls don’t put any links
Answer:
x = 11.75
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
5x + 3x - 4 + 90 = 180
8x + 86 = 180 ( subtract 86 from both sides )
8x = 94 ( divide both sides by 8 )
x = 11.75
Divide. (x^3 – 2x – 3) ÷ (x + 3)
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
Lines a and b are parallel. What is the measure of angle s? NEED HELP ASAP
22°
158°
May someone please explain how G is 125 degrees and H is 62 using ASTT,ATT theorem. Please help! Guaranteed brainliest for the first answer that is reasonable or correct!!!
Answer:
B=128
Step-by-step explanation:
because 190 - 62=128.
Can sides of a triangle have lengths of 2, 12, and 13 ? Explain why ???
Answer:
yes, because the sum of the two smallest sides must be able to be added together to be greater than the largest number, 2, 12, and 13 fit this requirement.
Step-by-step explanation:
12+2=14
14>13
Find the volume of the triangular prism to the right
Answer:
V = 567 ft³
Step-by-step explanation:
V = Bh
[note: a capital 'B' represents the area of the base]
The right triangle is the triangular prism's base.
Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.
We can identify the base easily because the base and the top of the prism are exactly the same shapeArea of triangular base:
A = [tex]\frac{bh}{2}[/tex]
A = [tex]\frac{1}{2}[/tex] (9 ⋅ 9)
A = [tex]\frac{1}{2}[/tex] (81)
A = 40.5
We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.
Volume of triangular prism:
V = Bh
V = (40.5)(14)
V = 567 ft³
Someone please help is not 105 bc last time I got it wrong and perimeter pleaser thank you I’ll mark you Brainliest is you got it right
At a local pet store zebra fish cost $1.90 and neon tetras cost $2.15. If Mrs.Selee bought 15 fish for a total cost of $30.25, not including tax, how many of each type of fish did she buy?
Fill in the blanks:
V=___W=___x=___y=___z=___
9514 1404 393
Answer:
v = 39; w = 47; x = 94; y = 39; z = 47
Step-by-step explanation:
The figure shows v° and 51° are complementary, as are z° and 43°.
v° = 90° -51° = 39°
z° = 90° -43° = 47°
Vertical angles are congruent.
y° = v° = 39°
w° = z° = 47°
And the angle x° is a vertical angle with the sum of 51° and 43°.
x° = 43° +51° = 94°