a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430
given the similar triangles at the left, identify the scale factor.
PLEASE HELPPPPPPPPPPPP
Find sin (B) in the triangle.
A) 4/3
B) 3/5
C) 3/4
D) 4/5
Answer:
D) 4/5 that's the answer
Which interval or union of intervals represents the values for which f(x) is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
(-∞, -1]∪{5}
Step-by-step explanation:
We know that:
f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.
So we can just look at the graph, we can see that in the interval:
(-∞, -1] (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)
the graph is below or intersecting the x-axis
and this also happens at x = 5 or just denoted as {5}
Then the correct notation is:
(-∞, -1]∪{5}
Math. please help. .....................
Answer:
10.1
Step-by-step explanation:
nearest possible answer
Answer:
AC=10.1
Step-by-step explanation:
2accosB=a²+c²-b²
2×7×13cos 50=7²+13²-AC²
182cos50=49+169-AC²
AC²=218-182 cos50
AC=√(218-182 cos 50)≈10.0505≈10.1
If 3x-5=4,find the value of x
Answer:
x=3
Step-by-step explanation:
3x-5=4
3x=4+5
3x=9
x=9/3
x=3
Find the missing angle measurements of LJK ? , fill in the boxes
Answer:
Angle LJK = 75 degrees
Step-by-step explanation:
Here, we want to fill the boxes
From the diagram;
angle HJL and LJK are supplementary (they add up to 180 degrees)
Angle HJL + Angle LJK = 180
angle LJK = 180-105
Angle LJK = 75 degrees
What is the measure of arc DEF?
Answer:
c
Step-by-step explanation:
What is the value ???????
Help!
Answer:
please give brainiest
thank you
Answer:
Its 16 (-1/2)^-4=16 then
Here Tran posted it
Step-by-step explanation:
1. I estimate that the error in measuring the area of the lot is about 10% so we write the area as 400 sq ft +- 10%, which means that the lot can be as small as 360 sq ft or as large as 440 sq ft. We tack on 15% more on the number of pieces of sod to account of the plot's irregularities. Since each piece of sod is 2 sq ft, the number of pieces we must get is 440/2 = 220 pieces +- 15% or 253 pieces
2. The nominal value is jus the average weight which is 59.5 g. The tolerance is (3.5g/59.5g)×100% = 5.88% and the measurement range is from 56g to 63g.
Math question part 2 please help
Answer:
471 cm
Step-by-step explanation:
here diameter of the circle is 150cm, and we know radius is half of diameter.
therefore r = 150/2
= 75
Now,
according to formula,
Circumference of circle = 2πr
= 2 x 3.14 x 75
= 471 cm
Bob's Hardware sells buckets in five different sizes. The tiny bucket holds 5
quarts, the small holds 10 quarts, the medium holds 20 quarts, and the large
holds 40 quarts. How many quarts will the extra-large bucket hold?
A. 80 quarts
B. 90 quarts
C. 60 quarts
D. 50 quarts
SUBMIT
Answer:
C. 60
Step-by-step explanation:
it's counting times 2
A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price. The salesperson received a commission of 25% of the difference between auction price and the dealership price. What was the sales person’s commission?
PLEASE HELP ME PLS!!!!!!!!!
PLEASE HELP LIKE RIGHT NOW LOL
Identify all expressions equivalent to 3.8-2-1.
4
0 6₃3
-1 + 3
3
4.5-1
3
•8+1
4.
Answer:
It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.
3/4 x . 8 = 6
2-1=1
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Find measure of angles B, E, D and C and the length of BC.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
list all of the elements of the set (multiples of 4 less than 20)
Answer:
A(4,8,12,16) is the answer
Find the measure of y, round to the nearest tenth
Answer:
y = 8
Step-by-step explanation:
cos = adj/hyp
cos30 = 4√3 / y
y = 4√3 / cos30
y = 6.928203230275509 / 0.866025403784439
y = 8
URGENT PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!!!!!!!
Slope is 0.75 or 3/4 I believe!
Help pls, I’m confused
Answer:
(x + y)² = 25
Step-by-step explanation:
The expansion of (x + y)² is
(x + y)² = x² + y² + 2xy ← substitute x² + y² = 15 and xy = 5
= 15 + 2(5)
= 15 + 10
= 25
simplify the complex fraction.
Answer: 2/5
Step-by-step explanation:
14/6 - 15/6 divided -5/12
-1/6 / -5/12
2/5
hope this helps!
PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
rhombus
Step-by-step explanation:
Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?
Answer:
17/100×15.30=2.60
9/100×15.30=1.37
15.30-(1.37+2.60)=11.33
Which table represents exponential growth?
Step-by-step explanation:
the second is ur answer
x|y
1|2
2|4
3|8
4|16
value expression of 3^5 / 3^3
Answer:
9
Step-by-step explanation:
3^5 = 243
3^3 = 27
243 / 27 = 9
Hope this helps :)
What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the right. It will use an open circle. It will use a closed circle.(multiple answers)
Answer:
Step-by-step explanation:
The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.
Thus, the following are true:
1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).
2. It will use a closed circle (because x = -2 is part of the solution set).
Answer: The ray will move to the right and it will be a closed circle.
If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC
Answer:
AB/ PQ = BC/QR
Step-by-step explanation:
In similar triangles, ratio of corresponding sides are equal.
So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]
What are the x-intercepts of the equation y=4x^2-16
Answer:
x = ± 2
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
4x² - 16 = 0 (add 16 to both sides )
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
The x- intercepts are x = - 2 and x = 2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What are the domain and range of the function f(x)= x+5?
Answer:
top answer, domain and range have no restrictions
Step-by-step explanation:
What is the radius of a circle with a diameter of 6 meters
Answer:
the radius is 3 m
Step-by-step explanation:
the radius of a circle is always one half of the diameter.
Here the diameter is 6 m, so the radius is 3 m.
Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GHC 9.00, how much did they share?
Answer:
They shared GHC16.2
Step-by-step explanation:
Here, we want to get the amount shared
Let us call the amount x
Total ratio is 5 + 4 = 9
Kwame had GHC 9
Thus;
5/9 * x = 9
5 * x = 9 * 9
5x = 81
x = 81/5
x = GHC 16.2