In order for a set of numbers to represent three sides of a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem. Only option C represents three sides of a triangle.
Now let's check each option to see which one satisfies the triangle inequality theorem:
a. 5, 3, and 2
The sum of 5 and 3 is 8, which is greater than 2. The sum of 5 and 2 is 7, which is also greater than 3. The sum of 3 and 2 is 5, which is not greater than 5. Therefore, this set of numbers does not represents three sides of a triangle.
b. 9, 5, and 15
The sum of 9 and 5 is 14, which is less than 15. Therefore, this set of numbers does not represent three sides of a triangle.
c. 8, 10, and 6
The sum of 8 and 10 is 18, which is greater than 6. The sum of 8 and 6 is 14, which is also greater than 10. The sum of 10 and 6 is 16, which is greater than 8. Therefore, this set of numbers represents three sides of a triangle.
d. 4, 6, and 10
The sum of 4 and 6 is 10, which is less than 10. Therefore, this set of numbers does not represent three sides of a triangle. Therefore, only option C represents three sides of a triangle.
For more questions on triangle
https://brainly.com/question/28470545
#SPJ8
At top cruising speed, a mako shark can swim 4 kilometers in 1/10 hour. A blue whale can swim 5 kilometers in 1/4 an hour which animal swims faster at a top cruising speed? How much faster? Show your work.
Answer: Mako shark
Step-by-step explanation:
We will calculate the speed of the sharks to know which is faster.
A mako shark can swim 4 kilometers in 1/10 hour.
Speed = Distance/Time
= 4/(1/10)
= 40km/hour
A blue whale can swim 5 kilometers in 1/4 an hour.
This shows that the Mako shark is faster as it swims at rate of 40km/hour and the blue whale swims at 5km/hour. It's faster by 35km.
= 40km - 5km
= 35km
Answer:
this was an amazing answer
Step-by-step explanation:
4. a) A load of 1000N can be lifted by applying an effort of
250N. If the load arm is 25cm, calculate the effort arm.
[2.0]
Step-by-step explanation:
load=1000N
effort=250N
load arm=25cm
effort arm=?
Now,
E×E.D=L×L.D
250×E.D=1000×25
E.D=1000×25÷250
E.D=100cm
therefore,effort arm is 100cm.
PLEASE HELP
What is the slope of a line that is perpendicular to the graph of y =1/2x +9?
Help pls! It’s due soon
Answer:
x1 = -8 and x2 = 9?
= x - 8 / x = 2 / x + 9
= Let's solve your equation step-by-step.
= x − 8x = 2x + 9
= x + − 8x = 2x + 9
Multiply all terms by x and cancel:
xx + −8 = 2 + 9x
x² −8 = 9x + 2 ( Simplify both sides of the equation )
x² − 8 − (9x + 2) = 9x + 2 − (9x + 2) (Subtract 9x+2 from both sides)
x² − 9x − 10 = 0
( x + 1 )( x − 10 ) = 0 (Factor left side of equation)
x +1 = 0 or x − 10 = 0 (Set factors equal to 0)
x = − 1 or x = 10
Check answers. (Plug them in to make sure they work.)
x= −1 ( Works in original equation )x = 10 ( Works in original equation )9+3x-5x=4x-3x please solve with multi step variable on both sides
Answer:
x = 3
Step-by-step explanation:
Step 1: Write equation
9 + 3x - 5x = 4x - 3x
Step 2: Solve for x
Combine like terms: 9 - 2x = xAdd 2x to both sides: 9 = 3xDivide both sides by 3: x = 3Step 3: Check
Plug in x to verify it's a solution.
9 + 3(3) - 5(3) = 4(3) - 3(3)
9 + 9 - 15 = 12 - 9
18 - 15 = 3
3 = 3
Is this relation a function?
yes
no
Answer:
no
Step-by-step explanation:
2 points have the same "x"
PLEASE HELP
Explain how you can use SSS, SAS, ASA, OR AAS with the definition of congruence to prove the statement true
Answer:
D, AAS.
Step-by-step explanation:
So basically the a's and s' mean angle and side. this means that if there is a line on both of the triangles on one side this means that those sides of the triangle are congruent. this is the same case with the angles. if you were to have one congruent side inbetween two congruent angles, you would use ASA, which stands for angle side angle, to prove that the triangles are congruent. some more examples are:
side, side, angle =SSA.
angle, angle side = AAS. (the problem in question)
hope this helps :)
The answer is option C)
What is the AAS congruence rule?If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. This is the AAS congruence rule.
Given here in ΔVTY and ΔWYX
VY = WX , ∠VYT = ∠WXY and ∠VTY = ∠WYX
Therefore, by AAS congruence rule , we get ΔVTY≅ ΔWYX
Accordingly, by the property of congruence of triangles we get
TV = YW
Hence, option C) ΔVTY≅ ΔWYX by AAS, so TV = YW by def of ≅
Learn more about AAS congruence rule here:
https://brainly.com/question/29289217
#SPJ5
Marcel earns a salary of $30,000 per year. What is his monthly salary?
Answer:
$2,500
Step-by-step explanation:
divide 30,000 by 12 since there are 12 months in a year.
30000/12=2500
please help!! If the wind is blowing at 20 miles per hour, you can find the wind-chill temperature W (in degrees Fahrenheit) by using the equation W = 1.42T - 38.5, where T is the actual temperature (in degrees Fahrenheit). Solve this equation for T and write a reason for each step. What is the actual temperature if the wind chill temperature is -24.3°F and the wind is blowing at 20 miles per hour? thank you
If the wind chill temperature is -24.3°F, actual temperature of the wind will be 10°F.
Equation for the chill temperature has been given as,
W = 1.42T - 38.5Here, W = Chill temperature
T = Actual temperature
Solve this equation for the value of T,
W = 1.42T - 38.5
W + 38.5 = 1.42T - 38.5 + 38.5 (Add 38.5 on each side)
W + 38.5 = 1.42T
[tex]T=\frac{W+38.5}{1.42}[/tex] (Divide each side by 1.42)
For W = -24.3°F
[tex]T=\frac{-24.3+38.5}{1.42}[/tex] (Substitute the value of W in the equation)
T = 10° F
Therefore, actual temperature will be 10°F if the wind chill temperature is -24.3°F.
Learn more,
https://brainly.com/question/20783834
Find the supplement of a 15° angle.
Answer:
165
Step-by-step explanation:
165+15=180
Kent mixed oil and gas for his lawn mower. He mixed 8 fluid ounces of oil for every 1 gallon of gas. Which of the following statements must be true?
Select each true statement.
A
For every 2 gallons of gas, he used 16 fluid ounces of oil.
B
For every 3 gallons of gas, he used 3/8 fluid ounces of oil
C
For every 5 gallons of gas he used 40 fluid ounces
D
For every fluid ounce of oil, he used 40 fluid ounces of oil
E
For every 40 fluid ounces of oil he used 10 gallons of gas
F
For every 10 fluid ounces of oil he he used 1 1/4 of gas
Answer:
A and C
Step-by-step explanation:
they both have the same ratio
Answer :A and C
Step-by-step explanation:
Find the area
b= 132 in
h= 7ft
Answer:
If a rectangle
77ft
Step-by-step explanation:
Answer:17in
Step-by-step explanation:
Which decimal is equivalent to 3/4 ?
help
now please
ASAP
To find the answer, you must first turn the fractions into decimals. 4 ÷ 5 = 0.8 ; 1 ÷ 2 = 0.5 ; 1 ÷ 10 = 0.1. Then you must subtract 0.5 from 0.8. Then add 0.1 to 0.3 .
Juila spends $7.75 on gas for her lawn mower she earns $19.00 mowing her neighbor yard what is juila profit
$12.25
you welcome that the answer
Answer:
11.25$
Step-by-step explanation:
19.00 - 7.75 = 11.25
Simplify - 42 (x^2+4x+4)
Answer:
-42x² - 168x - 168
Step-by-step explanation:
Step 1: Write expression
-42(x² + 4x + 4)
Step 2: Distribute
-42x² - 168x - 168
Marsha’s scores on seven tests were: 82, 78, 77, 93, 85, 91, and 86. What does she need to score on her next test to have an 86 average?
Answer:
The score of her next test is 96
Step-by-step explanation:
If there is a set of data with x terms, then the average is the sum of their values divided by x
Average = sum of values of the x terms ÷ x
We will use this rule to solve the question
∵ Marsha's scores on 7 test were 82, 78, 77, 93, 85, 91, 86
→ Find her total scores on the seven tests
∴ Her total scores = 82 + 78 + 77 + 93 + 85 + 91 + 86 = 592
∴ Her total scores on the 7 tests is 592
∵ Her average score on the 8 test is 86
→ Use the rule of the average to find her total score in the 8 test
∵ 86 = total scores ÷ 8
→ Multiply both sides by 8
∴ 86 × 8 = total scores × 8 ÷ 8
∴ 688 = total scores
∴ Her total scores on the 8 tests is 688
∵ Her total scores on the 7 test = 592
∵ Her total scores on the 8 test = 688
→ The difference between both totals is the score of her next test
∴ The score of her next test = 688 - 592 = 96
∴ The score of her next test is 96
What transformation of the parent function f(x) is made to get _ f(3x)? A a vertical stretch by 3 B.a vertical stretch by 1/3 C.a horizontal shrink by 3 D. a horizontal shrink by 1/3
The transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3.The answer should be D.
The transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3. Main answer:The given parent function is f(x).
The new function that we have to find is f(3x).
We know that the general form of a horizontal shrink is given by:f(x/a), where a is the horizontal shrink factor. We substitute 3 for a because 3 is the shrink factor that gets us from x to 3x.
Therefore,f(x/3) = f(3x)Thus, the transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3.The answer should be D.
e can make use of the horizontal and vertical transformations to describe a transformation of the graph of a function. The horizontal transformation can be represented by the expression f(x - a) or f(x + a), while the vertical transformation can be represented by the expression f(x) + b or f(x) - b.
To know more about parent function visit:
brainly.com/question/17039854
#SPJ11
brent works at a local pet store when he works 5 hours he earns 25 when he works 10 hours he earns 50 what is the rate per hour
Item 11 1/1 1/1 Math (Numeric): Erin has a total of 18 coins worth $2.05. All of the coins are either nickels, dimes, or quarters. If the number of nickels is twice the number of quarters, how many of each kind of coin does she have? Nickels: 1 10 ✓ Dimes: 2 3 Quarters: 3 Item 9 1/1 Math (Numeric): Convert 4/116 to rectangular coordinates. 1 -1.75 +2 3.60 ✔ 1/1
In the first item, Erin has a total of 18 coins with a combined value of $2.05. The coins consist of nickels, dimes, and quarters. It is stated that the number of nickels is twice the number of quarters, and we are asked to determine the quantities of each coin.
Let's assign variables to represent the number of each coin. Let N be the number of nickels, D be the number of dimes, and Q be the number of quarters. We have three equations based on the given information:
N + D + Q = 18 (the total number of coins is 18)
5N + 10D + 25Q = 205 (the total value of the coins is $2.05)
N = 2Q (the number of nickels is twice the number of quarters)
To solve this system of equations, we can substitute N = 2Q into the first two equations. Substituting N with 2Q in equation 1 gives us:
2Q + D + Q = 18
3Q + D = 18
Substituting N with 2Q in equation 2 gives us:
5(2Q) + 10D + 25Q = 205
10Q + 10D + 25Q = 205
35Q + 10D = 205
Now we have a system of two equations with two variables. By solving these equations simultaneously, we can determine the values of Q, D, and N.
Learn more about quarters here
https://brainly.com/question/1253865
#SPJ11
6 fluid ounces per day. Express this rate of flow in cubic meters per year.
Answer:
0.06 cubic meters per year
Step-by-step explanation:
Megan and her sister are planning their
16th birthday party and want a band to
come perform. The band charges an $45
deposit and $12.50 per hour they are at the
party. Write the equation that best
represents the relationship for y, the total
amount spent at the party, and x the
number of hours the band performed.
Answer: y = 12.50x + 45
Step-by-step explanation:
if x is the number of hours and you pay $12.50 per hour then we can come up the expression 12.50x
You will be charge $45 as an initial fee so it will be 12.50x + 45 and that has to equal the total cost which is y.
y = 12.50x + 45
pls help me anyone with this math
Step-by-step explanation:
Hey there!
1.)
Looking in figure;
5x = 100° {vertically opposite angle}
x = 100°/5
Therefore, X = 20°.
2.)
Looking through figure;
3x + 39° = 90°{The symbol in figure is 90°}
3x = 90°-39°
3x = 51°
x = 51°/3
x = 17°.
Therefore, X = 17°.
Hope it helps...
9514 1404 393
Answer:
The angles are congruent, not supplementary. x = 20The angles are complementary, not supplementary. x = 17Step-by-step explanation:
1. The equation should be 5x = 100, because the marked angles are congruent.
Then, dividing by 5 gives ...
x = 100/5
x = 20
__
2. The angles have a sum of 90°, not 180°. The correct equation is ...
3x +39 = 90
x + 13 = 30 . . . . divide by 3*
x = 17 . . . . . . . . subtract 13
_____
* Sometimes when the terms of the equation have the coefficient of x as a common factor, I like to divide by that first. It makes all of the numbers smaller, so more comfortable for me to deal with. The usual method would be to subtract 39 before doing the division. You get the same answer either way.
The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. using the clustering estimation technique, what is the approximate total weight of the grapefruits?
Answer:
35.45
Step-by-step explanation:
Answer:
by using clustering technique answer is 35 or B
Step-by-step explanation:
Edge 2020
Solve x - 8-4. Graph the solution please!
Answer:
open circle at 4 on the graph, going to the right!
hope this helps!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.
Answer:
1, 4, 3, 2Step-by-step explanation:
2a + 3(a + 1) = 82a + 3a + 3 = 85a = 5a = 1-----------------------
3a - 2a - 4 = 0a - 4 = 0a = 4-----------------------
6(2a - a + 1) = 246(a + 1) = 24a + 1 = 4a = 3-----------------------
4 + 3(a + 2) = 164 + 3a + 6 = 163a + 10 = 163a = 6a = 2[tex] \LARGE{ \underline{ \blue{ \rm{Required \: answer:}}}}[/tex]
What to do?
We have to solve the equations and find the out the value of a in each case. Accordingly we have to drag the value of the equation.
1) 2a + 3(a + 1) = 8
⇒ 2a + 3a + 3 = 8
⇒ 5a + 3 = 8
⇒ 5a = 5
⇒ a = 5/5 = 1
Drag the tile with number 1 on the top.
2) 3a - 2a - 4 = 0
⇒ a - 4 = 0
⇒ a = 4
Drag the tile with number 4 on the top.
3) 6(2a - a + 1)= 24
⇒ 2a - a + 1 = 4
⇒ a + 1 = 4
⇒ a = 3
Drag the tile with number 3 on the top.
4) 4 + 3(a + 2) = 16
⇒ 3(a + 2) = 12
⇒ a + 2 = 12/3 = 4
⇒ a = 2
Drag the tile with number 2 on the top.
N = 2^p x 5^q x 7^r and 500 = 2^2 x 5^3.
The HCF of N and 500 is 2^2 x 5^2.
The LCM of N and 500 is 2^3 x 5^3 x 7.
Find p, q and r
Answer:
p= 2, q = 3and r=1
Step-by-step explanation:
I think this is the answer
hope helps!!!PLEASE SOLVE THEM ALL THEY ARE DUE IN 30 MINUTES
33/6m - 3/2m - 6 = 6
X - 4 = x/4 + 1/8
-2 + 3/4x = 5x - 1/3
Answer:
m=3
x=11/2
x=1/2,x=-3/10
Hey if you wanna see step please msg me
try to solve by your self next time!!!!!!!
simplify 5^3/5^7 leaving your answer in index form
Step-by-step explanation:
[tex] \frac{ {5}^{3} }{ {5}^{7} } \\ \\ = {5}^{3 - 7} \\ \\ = {5}^{ - 4} \\ \\ = \frac{1}{ {5}^{4} } [/tex]
(-2/5) / (-1 1/4)
HELP HELP HELP HELP
