The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.
What is the condition to construct a triangle with given dimensions?
In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.
Given,
1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.
2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.
3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.
4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.
Learn more about the condition to construct a triangle here: https://brainly.com/question/1299079
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Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
this question looks easy but nothing makes sense to me second half didn't line up with my answer
Answer:
Rate of change of money in Michael's account will be $20 per week.
Step-by-step explanation:
If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,
After 6 weeks, amount in the account = $140
Ordered pair : (6, 140)
After 12 weeks, amount in the account = $260
Ordered pair : (12, 260)
Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{260-140}{12-6}[/tex]
= [tex]\frac{120}{6}[/tex]
= $20 per week
Therefore, rate of change of money in Michael's account will be $20 per week.
A fruit vendor purchased 540 fruits in all for $150. He sold 15 dozens at 2 bananas a dollar, another 15 dozens at 3 bananas a
dollar and the remaining at 5 bananas a dollar. Find his loss or gain percentage. ( with explanation )
Answer:
First find how much bananas are in a dozen
15 x 12 = 180
Divide the amount by the amount of bananas per dollar to find profit
180 / 2 = $90
Do the same thing as before
15 x 12 = 180
180 / 3 = $60
Find how many bananas are left
180 + 180 = 360
540 - 360 = 180
Do the same as before
180 / 5 = $36
Add up all the money. 90 + 60 + 36 = 186
Subtract the cost
185 - 150 = 36
To find percentage increase
36 / 150 = 0.24 or 24% profit
Hope this helps
Step-by-step explanation:
Could someone explain why (-4)² is equal to 16 but -4² is equal to -16
Answer:
It's all about the brackets.
Step-by-step explanation:
If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.
If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.
Hope this helps!
treviglaslibrary
Answer:
4^2= 16
Step-by-step explanation:
This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.
18 ÷ x = -2 what does x equal
Answer: x = -9
Step-by-step explanation:
18/x = -2
18x = -2x
x = -18/2 = -9
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8
A. log(3)
B. log 4
Chloe. log(2) + log(3)
D. log 2
SUBMIT
Answer:
none is equivalent. all are wrong
x + y = 2
y=-3x2 + 3
Answer:
x, y = -3/2, -3/2
Step-by-step explanation:
photo math will be your best friend
Answer: y = 2/3 x -2/3
If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False
Answer: TRUE
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4
Answer:
the mode is 4
Step-by-step explanation:
the 4 appears more than the other numbers
Answer:
4
Step-by-step explanation:
Mode = Number shown the most.
Solve by substitution
X^2= 2y + 10
3x-y = 9
Answer:
[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]
Step-by-step explanation:
[tex]x^{2} =2y+10[/tex]
[tex]y=-9+3x[/tex]
[tex]x^{2} =2(-9+3x)+10[/tex]
[tex]x^{2} =-18+6x+10[/tex]
[tex]x^{2} =6x-8[/tex]
[tex]x^{2} -6x+8[/tex]
[tex]x=-4, -2[/tex]
[tex]y=-9+3(-4)[/tex]
[tex]y=-9-12[/tex]
[tex]y=-21[/tex]
[tex]y=-9+3(-2)[/tex]
[tex]y=-9-6[/tex]
[tex]y=-15[/tex]
Answer:
(4,3) (2,−3)
Step-by-step explanation:
x^2 =2(−9+3x)+10
2(−9+3x)+10
x2 = −18+6x+10
x2=6x−8
x2−6x+8=0
We now have to find integers that find product is 8 and whose sum is −6
= -4 -2 we find this is set to 4 2 as x−4=0
Add 4 to both sides of the equation. x=4
Set the next factor equal to 0
x−2=0 Add 2 to both sides of the equation.x=2
Confirms and proves x = 4, x = 2
We solve for y
2y+10=(4)2
2y+10=16
2y=16−10
2y = 6
y = 3
We rewrite and solve for y again
(2)^2=2y+10
2y+10=(2)*2
2y+10=4
2y = 4(-10)
2y = -6
y= -3
Please help ASAP Very easy !!!!
Answer:
C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]
Step-by-step explanation:
This is the expression that is shown in the graph:
[tex]\frac{3}{4} / \frac{1}{8}[/tex]
We need to calculate the answer, so...
An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:
[tex]\frac{3}{4} *\frac{8}{1}[/tex]
8 divided by 1 is just 8 so you can simplify it:
[tex]\frac{3}{4}*8[/tex]
[tex]=\frac{8*3}{4}[/tex]
[tex]=\frac{24}{4}[/tex]
[tex]=6[/tex]
What is the inverse of the function f(x) = 4x - 12
Answer:
y=x+12/4
Step-by-step explanation:
y=4x-12
x=4y-12 (then make y the subject)
x+12=4y(divide both sides by 4)
y=x+12/4
Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!
The answer is 854.5 ft
I havent done surface area in a while so it might be slightly off
In the number
23.45, the digit
2 is in the Select...
place.
Answer:
tens place
Step-by-step explanation:
tens ones . tenths hundredths
2 3 . 4 5
Write y + 1 = –2x – 3 in standard form.
Question 15 options:
a)
x + 12y = −2
b)
-2x-y = 4
c)
2x + y = -4
d)
y = -2x-4
Answer:
d
Step-by-step explanation:
isolate y and evaluate
Answer:
B
Step-by-step explanation:
move the y to the other side and the three to its opposite side
Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?
Solve 11x + 4 = 3x + 52 need this
______________________________
Hey!!
Solution,
11x+4=3x+52
or,11x-3x=52-4
or,8x=48
or,X=48/8
X=6
So, the answer is 6.
Hope this helps...
Good luck on your assignment
_____________________________
Answer:
11x+4=3x+52
11x-3x=52-4
8x=48
8x÷8=48÷8
x=6
the answer is x=6
The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.
Insufficient evidence. Would you please send a screenshot or a picture of the paper?
Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better
Answer:
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Volume of larger prism÷Volume of cube
that is;
Note:V=LWH
Therefore
[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}
= 1440[/tex]
Hope this answers your question!
Please follow my account.
Cheers!
help plz!
Find the width of a cereal box that has a volume of 6,860 cm3 and is 35 cm long and 28 cm high.
Answer:
The width is 7 cm
Step-by-step explanation:
The volume of a cereal box is
V = l*w*h
6860 = 35 * w * 28
6860 =980 w
Divide each side by 980
6860/980 = w
7 = w
Answer:
35*28=6,860
980 = 6,860
divide by 980 to both side
_980__ = _6,860_
980 980
x = 7
Step-by-step explanation:
Order the side lengths of the triangle from shortest
to longest.
aco
c
57
63
60
Note: Figure not necessarily drawn to scale.
Answer:
Step-by-step explanation:
57
60
63
I need help quick lot of points easy question marked brainliest the best.
How do you find out a histograms least frequency interval
Answer:
Histograms are graphs of a distribution of data designed to show centering, dispersion (spread), and shape (relative frequency) of the data. Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.
They are used to understand how the output of a process relates to customer expectations (targets and specifications), and help answer the question: "Is the process capable of meeting customer requirements?"
To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable.
Hope this Helps, good luck on our assignment!
Answer:
Hey! I think this video will help you!
Step-by-step explanation:
It won't let me send the video for some reason so I'll try and spell it out. Hint: there are no actual spaces so look this up without the spaces.
h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = v h c i k R s r d J o
Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?
Answer:
3n+6
Hope this helps you
Answer:
3n+6
Step-by-step explanation:
Do 6,7 for 10 points.
Answer:
6. x = 3 7. x = 120 8. x= -5
Step-by-step explanation:
the first question is x(-4) + 3 = -9
find the value of x :
-4x + 3 = -9
we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.
-4x = -12
-4(3) = -12
therefore the answer to problem 6 is x=3
and for 7 :
x / 6 - 9 = 11
we can add 9 on both sides which will cancel it out;
x/6 = 20
120/6 = 20
therefore the answer to the question 7 is 120.
For problem 8 it says :
-3x -5 = 10
we can add 5 on both sides to get:
-3x = 15
-3(-5) = 15
therefore the answer to problem 8 is -5
14. Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.
Answer: the higher the price is the less competitive the sales
Step-by-step explanation:
say i were to raise a price extremely from $2 to $6 you would buy the other brand of candy that is $2
does anyone understand and can help me asap?
Answer:
see below
Step-by-step explanation:
Circumference of circle = 2πr =dπ
Area of circle =πr²
1) Circle1 d =4 in, r =2 in
Circumference of circle1 =4π in
Area of circle1 = 2²π =4π in²
2) Circle2: d =3 in, r =1.5 in
Circumference of circle2 =3π in
Area of circle2 = 1.5²π =2.25π in²
3) Circle3: r =1 in, d =2 in
Circumference of circle3 =2π in
Area of circle3 = 1²π =π in²
4) Circle4: r =2 1/2 in = 2.5 in, d =5 in
Circumference of circle4 =5π in
Area of circle4 = 2.5²π = 6.25π in²
5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²
6) 1/2 of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²
7) 1/4 of the Area of circle3 = (1/4)π in²
8) 1/3 of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²
Where to Dig: The dinosaur's
tail bones are at the solution
point to the system of
equations below.
- 2x - 7y = -250
y = 140
Every time you click a point
using the CPS, the equations
below will update. Remember,
the solution is the point that
makes both equations true.
-2( x ) - 7(y) =250 X
4( x) - (y) =140 X
Answer:
x = 41
y = 24
Step-by-step explanation:
Systems of equations is,
-2x - 7y = -250 ------(1)
4x - y = 140 ------(2)
Equation (1) multiplied by 2 then added to equation (2)
-4x -14y = -500
(+) 4x - y = 140
-15y = -360
y = [tex]\frac{360}{15}[/tex]
y = 24
by putting y = 24 in equation (2),
4x - 24 = 140
4x = 140 + 24
x = [tex]\frac{164}{4}[/tex]
x = 41
For x = 41 and y = 24 both the equations are true.
Equation (1), -2(41) - 7(24) = -250 [True]
Equation (2), 4(41) - (24) = 140 [True]
Answer:it’s 41 and 24
Step-by-step explanation:
aaaaaaaaassssssssssssssppppppppppaaaaaaaaaapppppppaaaaa
Answer:
12(3+5)
Step-by-step explanation:
The greatest common factor is 12
12*3 + 12*5
12(3+5)
Answer:
12(3+5)
Step-by-step explanation:
First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
The two numbers are 36 and 60.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The GCF is the greatest common factor. The biggest factor both numbers share is 12.
Now let’s find the expression.
36+60
We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.
12( 36/12 + 60/12)
12(3+5)
Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and 5 on the yellow die?
Answer:
1/6 x 1/6 = 1/36
Step-by-step explanation:
We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.
The exponent on a when a^2 is multiplied by a5 is
A. 3
B. 7
C. 10
Answer:
B
Step-by-step explanation:
[tex]a^2\cdot a^5= \\\\a^{2+5}= \\\\a^7[/tex]
Therefore, the correct answer is 7. Hope this helps!
Answer:
7
Step-by-step explanation: When multiplying a number where both has exponent you add the exponent. a^5 * a^2 is the same thing as a^5+2 which is a^7.
please help me ! :)
Answer:
B. (6, 5)
Step-by-step explanation:
On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).
No other answer choices match up to the points in the table.
I hope this helps :))
