Answer:
The inequality is: 5<c<19
Length of third side "c" can have values greater than 5 but less than 19
Solution:
Given that,
Length of two sides of triangle are 7 inches and 12 inches respectively
Let the length of third side be "c"
The Triangle Inequality Theorem, states that, the sum of the lengths of any two sides of a triangle is greater than the length of the third side
So we get a inequality as:
Case 1:
Sum of length of two sides of triangle > length of third side
Rewrite,
Case 2:
Let 12 inches be the length of third side
Sum of sides of length 7 and c > 12
Therefore from case 1 and case 2,
Which can be combined,
Therefore the possible values of "c" are:
"c" can have values greater than 5 but less than 19
The graph of y=f(x) is shown on the grid.
Use the graph to workout and estimate for f(2.5)
Check the picture below.
Gail Stough is a customer service representative at an amusement park and earns $8.40 per hour. How much does she make in a week?
A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities?
x + y ≤ 50
x ≥ 20
On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything below the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the left of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the right of the line is shaded.
On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything above the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
Answer: On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the right of the line is shaded.
Step-by-step explanation:
x = # of stools = 20
y = # of recliners = 50-20 = 30
Answer:
On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
1. Find the radian measure for 150 degrees.
2. Find the degree measure for π/2.
Please explain how you used the unit circle to solve these questions.
Answer:
Step-by-step explanation:
1. 150 * π/180
= 150π/180
= 5π/6
=2.62
2. π/2
π/2 * 180/π
= 90 degrees
Step-by-step explanation:
1)150° 's radian measure
[tex] \rm \implies150 \: Deg × π/180 = 2.618 \: Radians[/tex]
2)π/2 's degree measure
[tex] \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees[/tex]
Basically,we need to use formulas to solve these type of sums.
(Look at image) Need help for question 5. Need this by tomorrow ASAP!
(Repost cuz it’s gonna be impossible for anyone to answer at the rate of questions asked)
Answer:
little falls has more
Step-by-step explanation:
show your work: little falls total rainfall is 1 6/8 and riverside is 1 5/8
use that to explain :) your welcome
Answer:
Riverside had the greatest rainfall total
Step-by-step explanation:
The total amount of rain in a city will be the sum of products of rain amount and days that got that amount. The city with the largest sum got the most rain. The difference in rainfall can be found by subtracting the lesser amount from the greater.
__
RiversideTotal rainfall in Riverside was ...
(1/8)×1 +(2/8)×3 +(3/8)×3 +(4/8)×1 +(5/8)×1
= (1 +6 +9 +4 +5)/8 = 25/8 = 3 1/8 . . . . inches
__
Little FallsTotal rainfall in Little Falls was ...
(1/8)×1 +(3/8)×1 +(4/8)×1 +(6/8)×2
= (1 +3 +4 +12)/8 = 20/8 = 2 1/2 . . . . inches
__
Riverside had more rainfall, because 3 1/8 is more than 2 1/2.
__
Without calculationYou can "cancel" dots that are in the same place on each plot. Doing so leaves Riverside with 3 dots at 2/8, 2 dots at 3/8, and 1 dot at 5/8. The remaining dots on the Little Falls plot are the 2 dots at 6/8.
The 3 dots at 2/8 add up to 6/8, as do the 2 dots at 3/8 on the Riverside plot. These two 6/8 values cancel the two 6/8 dots on the Little Falls plot. That leaves one uncancelled dot at 5/8 on the Riverside plot, indicating more rain fell at Riverside.
Find the area of the kite or rhombus.
Answer:
126 cm^2 (please mark me brainliest)
Step-by-step explanation:
(14x16)/2+(2*14)/2=
112+14=126
A paint roller is 12 inches long and has a radius of 3/4 inch. what is its lateral area?
Answer: The answer is [tex]16[/tex], You need to reduce the expression, if possible, by canceling the common factors. Then its lateral area of 12 inches and the radius of 3/4 inches would be 16.
Therefore your answer would be [tex]16[/tex].
Based on the concrete of the lateral area and the content of the question, the right answer is 18π
What is the lateral area?The lateral area is the term that is used to describe the surface of an object as all of the sides of the object, excluding its base and top. Generally, the term lateral area is different from the surface area, which is the lateral surface area together with the areas of the base and top.
Hence, in this case, to calculate the lateral area of the paint roller, find the circumference of the roller and multiply it by its length.
The circumference of a circle can be found using the formula: C = 2πr where r is the radius.
Given that the roller has a radius of 3/4 inch let's substitute this value into the formula to find the circumference:
C = 2π(3/4)
C = 6π/4
C = 3π/2
Now we have the circumference of the roller.
To find the lateral area we multiply the circumference by the length of the roller which is 12 inches:
Lateral Area = Circumference x Length
Lateral Area = 3π/2 x 12
Lateral Area = 36π/2
Lateral Area = 18π
Therefore, in this case, it is concluded that the lateral area of the paint roller is 18π square inches.
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help meeeeee 1/2 X (6 X 4)+3 + 2
6x4=24
24x1/2=12
12+3=15
15+2=17
17 is the answer
73-74 express the limit as a definite integral.
73. [tex]\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{i^{4}}{n^{5}}[/tex] [hint: consider [tex]$f\mleft(x\mright)=x^4$.\rbrack[/tex]
Pull out a factor of 1/n from the summand and the result follows.
[tex]\displaystyle \lim_{n\to\infty} \sum_{i=1}^n \frac{i^4}{n^5} = \lim_{n\to\infty} \frac1n \sum_{i=1}^n \left(\frac in\right)^4 = \boxed{\int_0^1 x^4 \, dx}[/tex]
(8 x 3) x 6 = 8 x (3 x 6) is a true statement. Which multiplication property is this an example of?
Associative property
Step-by-step explanation:Multiplication properties are different statements that are always true. These statements help prove that different operations can be performed on equations and still remain equal.
Associative Property
The associative property states that (a x b) x c = a x (b x c). This means that in any equation where only multiplication is present, the parentheses can be moved and the equation remains equal.
Other Examples
The associative property is always true; this means that we can create other examples.
Let's take the expression 4 x (2 x 9). As the property states, we can move the parentheses and create the new expression (4 x 2) x 9. Now we can set these expressions equal to each other.
4 x (2 x 9) = (4 x 2) x 9Due to the property we know that this equation must be true.
We can prove this property by working out each side of the equation. If we multiple both sides out we are left with 72 = 72. Since this is true the equation above must also be true.
Answer:
Step-by-step explanation:
It's called The Associative Property of Multiplication
(a * b) * c = a * (b * c)
Find the center and radius of the circle represented by the equation below.
x² + y²- 6x - 12y +29=0
Answer:
radius 4
center (3,6)
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
x² + y²- 6x - 12y +29=0
x² - 6x + y²- 12y +29=0
(x² - 6x) + (y²- 12y) +29=0
complete the square
(x² - 6x) + 9 + (y²- 12y) +36 +29= + 9 +36
(x² - 6x + 9) + (y²- 12y + 36) = + 9 +36 -29
(x-3)^2 + (y-6)^2 = 16
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
center (3,6)
radius 4
cuemathcom
varsitytutors
Answer: Center: (3,2) Radius: 5
Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12
Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25
Circle centered at (3,2) with radius = 5
In the sequence $$1,2,2,4,8,32,256, each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is $256$, which is the product of the fifth term ($8$) and the sixth term ($32$). This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the $14 term is close to some estimates of the number of particles in the observable universe.) What is the last digit of the $35 term of the sequence
The sequence is recursively defined by
[tex]\begin{cases}a_1 = 1 \\ a_2 = 2 \\ a_n = a_{n-1} a_{n-2} & \text{for } n \ge 3\end{cases}[/tex]
By this definition,
[tex]a_{n-1} = a_{n-2} a_{n-3} \implies a_n = a_{n-2}^2 a_{n-3}[/tex]
[tex]a_{n-2} = a_{n-3} a_{n-4} \implies a_n = (a_{n-3} a_{n-4})^2 a_{n-3} = a_{n-3}^3 a_{n-4}^2[/tex]
[tex]a_{n-3} = a_{n-4} a_{n-5} \implies a_n = (a_{n-4} a_{n-5})^3 a_{n-4}^2 = a_{n-4}^5 a_{n-5}^3[/tex]
[tex]a_{n-4} = a_{n-5} a_{n-6} \implies a_n = (a_{n-5} a_{n-6})^5 a_{n-5}^3 = a_{n-5}^8 a_{n-6}^5[/tex]
and so on.
Recall the Fibonacci sequence, {1, 1, 2, 3, 5, 8, 13, 21, …}, where the next term in the sequence is the sum of the previous two terms. If [tex]F_n[/tex] is the n-th Fibonacci number, then continuing the pattern above we would arrive at
[tex]a_n = {a_2}^{F_{n-1}} {a_1}^{F_{n-2}} = 2^{F_{n-1}}[/tex]
Notice that the sequence of positive powers of 2 leaves a periodic sequence of residues mod 10 :
[tex]2 \equiv 2 \pmod{10}[/tex]
[tex]2^2 \equiv 4 \equiv 4 \pmod{10}[/tex]
[tex]2^3 \equiv 8 \equiv 8 \pmod{10}[/tex]
[tex]2^4 \equiv 16 \equiv 6 \pmod{10}[/tex]
[tex]2^5 \equiv 2 \times 2^4 \equiv 2 \times 6 \equiv 2 \pmod{10}[/tex]
[tex]2^6 \equiv 2^2 \times 2^4 \equiv 4 \times 6 \equiv 4 \pmod{10}[/tex]
and so on; the period of this sequence of residues is 4.
The period of [tex]F_n[/tex] taken mod 4 is 6 :
[tex]\{1, 1, 2, 3, 5, 8, \ldots\} \equiv \{1, 1, 2, 3, 1, 0, \ldots\} \pmod 4[/tex]
(This follows from the "properties" section in the link in comment. In this case, π(4) = 3/2 × 4 = 6.)
It follows that
[tex]34 \equiv 4 \pmod 6 \implies F_{34} \equiv 3 \pmod 4 \implies 2^{F_{34}} \equiv 2^3 \equiv 8 \pmod{10}[/tex]
which means the last digit of [tex]a_{35}[/tex] is 8.
Extra points and brainiest if you answer this correctly because i need some help!!
mrs. gold is planning a field trip for her class to the zoo. the zoo is 12 miles away. the map she uses has a scale of 1 inch to 3 miles. how far in inches is the zoo from the school on the map?
The zoo is 12 inches from the school on the map
How to determine the distance in inches?The given parameters can be represented using the following ratio:
Ratio = 1 inch : 3 miles
For 12 miles, we have:
Distance :12 miles = 1 inch : 3 miles
Multiply by 4
Distance :12 miles = 4 inches : 12 miles
By comparison, we have:
Distance = 12 miles
Hence, the zoo is 12 inches from the school on the map
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Round 381,726 to the nearest thousand
Which of the following is a radical equation?
Ox√3=13
O x+√3=13
O√x+3=13
O x+3=√13
Answer:
The answer is c because of how the equation is set and made
The radical equation is √x+3=13. Therefore, option C is the correct answer.
What is radical equation?A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.
In option C, x is under radical, so it is radical equation.
Here, √x+3=13
√x=13-3
√x=10
Therefore, option C is the correct answer.
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the cost of the items in mindy's shopping cart is 67.39 if the sales tax applied to her purchase is 5% what is the total cost of the items in her cart?
Answer:
$70.76 or 70.7595
Step-by-step explanation:
Here’s the function:
67.39(1+0.05)^1
Hope this helps! ;-)
I need to know this asap
Answer:
Output: 3
Step-by-step explanation:
(x, y)
(Input, Output)
(2, 3)
PLEASE HELP FAST WILL GIVE BRAINLIEST TO WHOEVER HAS IT RIGHT !!!!
An archer shoots an arrow up towards a target located on a hill, which is shown by the graph.
(85.21,12.78)
20 25
30 35
45 50 55 60 65 70 75
50
85
Which set of equations best models the point of intersection of the arrow and the target?
Oy = 0.002x² +0.25x + 6 and y = x
Oy = -0.002x² +0.25x + 6 and y = 0.15x
Oy = -0.002x² +0.25x + 6 and y = x
Oy = -0.002x² +0.25x + 6 and y = -x
The set of equation that models the point of intersection of the arrow
and the target is: y = -0.002x² +0.25x + 6 and y = 0.15x.
Set of equation that models the point of intersection
Given parameters:
Point of intersection of the line and the parabola=(85.21,12.78)
Hence:
First set
y = -0.002 × 48.67² + 0.25 × 85.21 + 6= 12.78
Linear function y ≠ x
Third set
y = -0.002 × 85.21² + 0.25 × 85.21+ 6= 12.78
y = C·x
12.78 = 85.21·x
C=12.78/85.21
C=0.149
C=0.15 (Approximately)
Hence:
y=0.15x
Therefore the set of equation that models the point of intersection of the arrow and the target is: y = -0.002x² +0.25x + 6 and y = 0.15x.
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which statement is true about the result considering a significance level of 5%?
oA. the result is not statistically significant, which implies that this results could me due to random chance.
oB. The result is statistically significant which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate
oC. The result is not statistically significant which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate
oD. The result is statistically certificate which implies that spraying the corn plants with the new type of fertiliter does increase the growth rate
If the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
What is the meaning of significance level?The term significance level has to do with the probability of rejecting the null hypothesis even though it is true.
The significance level tells us if a result is statistically significant. Thus, if the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.'
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A)The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Did the project
2 1/6 - (-8/3) + (-4 7/9) what does it eqaul i cant figure it out
Answer:
- 95/18
Step-by-step explanation:
1st you have to convert the mixed number to an improper fraction so 2 ×6 = 12 +1 = 13 and that together equals 13/6 same goes for the next take away the parentheses 13/6 - 8/3 - 4 7/9
then you have to do the same thing with the 1st fraction convert it 4 × 9 = 36 + 7 = 43 that equals together 43/9
lastly you have to calculate the difference 13/6 - 8/3 - 43/9 and that equals negative 95/18
by the way the 95 isnt a negative the fraction itself is
A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is
Answer:
prob of being a red=1/2
prob of being an ace=1/13
Liz had 10 candies. She ate 4 of them. How many candies are left?
Answer: 6
Step-by-step explanation: 10-4=6
Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0
Answer:
See below
Step-by-step explanation:
Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:
[tex]2x+10=0\\2x=-10\\x=-5[/tex]
[tex]x-7=0\\x=7[/tex]
Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:
[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]
[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]
Mr. Brown took his class to see a play. Each student ticket was $3.00. Each adult ticket was $5.00. The class spent a total of $190 on tickets. Write an equation in standard form to represent this situation.
pls, help I will make you the branliest!
Answer:
See below
Step-by-step explanation:
Use protractor to measure the UNmarked angle (approx 135 degrees)
then subtract this value from 360 degrees to find the angle in question
PLS HELP! What is the linear function rule for this table?
Answer:
f(x) = 4x + 6
Step-by-step explanation:
Using f(x) = 4x + 6
lets find some answers
lets take x as (-2)
f(-2) = 4(-2) + 6
f(-2) = -8 + 6
= -2
Also, take x as (-1)
f(-1) = 4(-1) + 6
f(-1) = -4 + 6
= 2
radical 54 simplified
Learn with an example
on the last day of a shakespeare class, an english teacher asked her students which play
they liked most. out of the 12 students, 3 liked macbeth best.
what is the probability that a randomly selected shakespeare student likes macbeth best?
write your answer as a fraction or whole number.
p(macbeth) =
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are: 51°, 75°, 38°, 47°, 65° and 52º
In the following question solve for X please help!
Answer:
x = 6
Step-by-step explanation:
Taking the sides in proportion :
EB/DC = AB/AC8/24 = -3 + 2x/271/3 = -3 + 2x/273(-3 + 2x) = 27-9 + 6x = 276x = 36x = 6Step-by-step explanation:
If you have any question about the sollution, ask me