Given:
Three line segments have measures of 4 units, 6 units, and 8 units.
To find:
Will the segments form a triangle?
Solution:
We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.
Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.
The sum of two smaller sides is
[tex]4+6=10[/tex]
[tex]4+6>8[/tex]
Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.
A full tub of water weighs 3 1/8 pounds. If the tub is filled up only 1/7 full how much would it weigh?
Answer:
[tex]\frac{25}{56}[/tex] pounds
Step-by-step explanation:
By using unitary method,
∵ 1 full tub of water weighs = [tex]3\frac{1}{8}[/tex] pounds
∴ [tex]\frac{1}{7}[/tex] of a water tub will weigh = [tex]3\frac{1}{8}\times \frac{1}{7}[/tex]
= [tex]\frac{(24+1)}{8}\times \frac{1}{7}[/tex]
= [tex]\frac{25}{56}[/tex] pounds
Therefore, water filled in [tex]\frac{1}{7}[/tex]th part of the tub will weigh [tex]\frac{25}{56}[/tex] pounds.
The weight of the tub if filled up to 1/7 full is 25/56 pounds
How to find product of fractionGiven:
Full weight of tub = 31/8 poundsIf filled halfway:
= 1/7 × 3 1/8
= 1/7 × 25/8
= (1 × 25) / (7 × 8)
= 25/56 pounds
Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds
Learn more about fraction:
https://brainly.com/question/11562149
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Answer:
Yes.
Step-by-step explanation:
If you change nothing but the angle and positioning of the original shape, then it is congruent.
help plzzzzz! it's math and I'll give 30 points
Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Hi there,
In order to solve this problem, you have to know the Pythagorean Theorem:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).
⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]
⇒ 45 = [tex]c^{2}[/tex]
⇒ c = [tex]\sqrt{45}[/tex]
Hope this explanation helps. Cheers.
What is the distance between the points (3, 4) and (3, -7)
Answer:
distance is estimated 11
what is the area of this figure
Answer:
141
Step-by-step explanation:
2*3=6
5*9=45
6*15=90
141
Answer:
add all the sides I guess...
Step-by-step explanation:
or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape
A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse
1.√12
2.√24
3.√74
4.√144
Answer:
3. 74
Step-by-step explanation:
The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.
5^2 = 25
7^2 = 49
25 + 49 = 74
So it would be the square root of 79. I hope this helps! :)
The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, a right triangle has legs that are 5 cm and 7 cm long.
Let the length of the hypotenuse side be x.
Now, x²=5²+7²
x²=25+49
x²=74
x=√74 units
Therefore, option 3 is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
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1 Roxie is coloring a rectangle sheet of paper. If the base of the rectangle is 8 inches and the height is 11 inches. What is the area Roxie colored?
can anyone help me with this?
An item is priced at $14.55. If the sales tax is 6%, what does the item cost including sales tax?
Answer:
$15.43
Step-by-step explanation:
$14.55 x 1.06 = $15.423
Which simplified expression matches the perimeter of the shape?
Please help... 12 points please thank you!
100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
Answer:
1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)
f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85
3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)
x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0
x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2
Step-by-step explanation:
Find the slope of the linear equation 2y = -18x + 10
Answer:
m= -9
Step-by-step explanation:
Hope this helps
matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have
x + 8 > 10 plss help
Answer:x=2
Step-by-step explanation:8x2=16 and 16 is greater than 10.. hope this helps and gets brainliest
Answer:
x > 2
Step-by-step explanation:
Given
x + 8 > 10 ( subtract 8 from both sides )
x > 2
please help me, I lost my answer
Help me with this question please!
Answer:
24, 21, 15, 12
Step-by-step explanation:
Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.
[tex]y=30-3(2)=30-6=24[/tex] [tex](2, 24)[/tex]
[tex]y=30-3(3)=30-9=21[/tex] [tex](3, 21)[/tex]
[tex]y=30-3(5)=30-15=15[/tex] [tex](5, 15)[/tex]
[tex]y=30-3(6)=30-18=12[/tex] [tex](6, 12)[/tex]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.
__
If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...
y = 30-3(2) = 30 -6 = 24 . . . for x=2
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
x=3
Step-by-step explanation:
Hope this help and plz give me brainlist.
Answer: x=3
Step-by-step explanation: cuz Im know how to solve for x. Hope its good!
The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.
Answer:
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
Can you plz help me real quick I want good grades so I don't disappoint
Answer:
x= 6
∠FGT = 55
∠GFE = 65
Step-by-step explanation:
Please help!
An isosceles triangle has base angles that each measure 34°. Which of the following equations could be used to find x, the measure of the third angle of this isosceles triangle in degrees?
A. 34 + x = 180
B. 68 + x = 180
C. 68 + 2x = 180
D. 34 + 2x = 180
x-3=4
x= ______
explain
Answer:
7
Step-by-step explanation:
In order to solve the value of x we need to Seperate it so that it can be alone on one side.
So:
X - 3 = 4
X = 4+3 (when characters go from one side of the "=" to the other, they change the sign that is before them (so if before the "=" it was "-" now it will be "+". Same goes for when we multiply or divide))
X=7
Answer:
X=7 because
-3=3=0,
and 4+3= 7 so x= 7
Step-by-step explanation:
please mark brainly
PLEASE HELP !!!! Give an example of
Help me with this ASAP
Answer:
2 to the power of 2 times three to the power of 2
3 to the power of 2 times 5 to the power of 2
6 to the power of 2 times 7 to the power of 3
7 to the power of 2 times 5 to the power of 3
3 to the power of 2 times 5 to the power 2 times 7 to the power of 2
Step-by-step explanation:
help me pls i give brainliest
Answer:
Decreased I think because they bumped into the other person
Step-by-step explanation:
Answer:
increased
i just heard my brother say it because he's in highschool. TwT
if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know
Answer:
love
Step-by-step explanation:
you
find m<VOR
A. 70°
B.80°
C.85°
D.95°
Answer:
C. 85
Step-by-step explanation:
If you look closely to the protractor, r is in the middle of 80 and 90 which is 85
h(x)=x2 + 6x + 18 need answer for a please explain you’re answer
B
This is a parabola opening downwards. The term - x^2 tells us that, so we can deduce answer is B.
Pls helppp my last question and my last of point. This is veryyy important
Answer:
kids
Step-by-step explanation:
don't need to do much math, just compare the differences between the numerators and denominators of 22/35 and 18/42
22 portions out of 35 is a lot closer to 100% than 18 portions out of 42 (it's not even 50%)
Find a and b if
2^a×3^b=12
Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12