If (a+b) = 4 and ab = 3, find the value of a³+b³.
Answer:
28
Step-by-step explanation:
a³+b³= (a+b)³ - 3ab(a+b)
= 4³ -3×3×4 = 64-36 = 28
What is the area of this square?
Answer:
100
Step-by-step explanation:
Formula is bh (Base times Height)
so 10 * 10
Hope this helped :]
Answer:
100 m
Step-by-step explanation:
Area is found by multiplying the length and height of a shape. The length and height of the square are both 10 m.
10 ⋅ 10 = 100
NEED HELP ASAP PLEASE PRETTY SIMPLE TYSM
Answer:
[tex]2x + 3y = 6 ---(1)\\y = \frac{x}{6} - 3 ----(2)\\\\substitute \ y \ in \ (1)\\2x + 3(\frac{x}{6} - 3) = 6\\\\2x + \frac{x}{2} - 9 = 6\\\\\frac{5x}{2} = 6+9\\\\\frac{5x}{2} = 15\\5x = 30 \\x = 6\\substitute \ x \ in \ (2)\\\\y = \frac{6}{6} -3 = 1 - 3= -2[/tex]
x = 6, y = -2
julie pays 6.72 for 3.2 pounds of ground beef to make hamburgers. What price per pound does she pay
Answer:
6.72/3.2=2.1
Step-by-step explanation:
What is x if all three sides combined is 180? Pls help
Answer:
x= 52°
Step-by-step explanation:
comment if u need explanation :)
Answer:
x=52
Step-by-step explanation:
Set it up 2x+28+x-4=180
Combine like terms
3x+24=180
Subtract 24 from both sides
3x=156
Divide 3 from both sides
x=52
Hope this helps
Brainliest would be appreciated
Help please!! ASAP!!
Thanks!!
Answer:
402
Step-by-step explanation:
The standard formula for the nth term of an arithmetic sequence is:
t + (n - 1)d
where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:
22 = t + (5 - 1)d
62 = t + (15 - 1)d
22 = t + 4d
62 = t + 14d
We can use elimination to cancel out t:
62 = t + 14d
-( 22 = t + 4d )
40 = 10d
d = 4
Now, we can substitute the common difference to find the first term:
22 = t + 4*4
22 = t + 16
t = 6
Lastly, we can substitute values in the first equation to find the 100th term:
a100 = t + (n - 1)d
a100 = 6 + (100 - 1)(4)
a100 = 6 + (99)(4)
a100 = 6 + 396
a100 = 402
Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x+27=96, represents this situation, what does the variable represent?
Answer:
The X represents how much Han made.
Step-by-step explanation:
I believe thats the answer.
Here!! no links please
Answer:
area = 66.28 km²
Step-by-step explanation:
area = (8 x 2) + (11 x 4) + (3.14)(2²)(0.5) = 16 + 44 + 6.28 = 66.28 km²
Answer:
Solution given:
area of semi circle=½×π×r²=½π×2²=6.28km²
area of rectangle ABCD=L×b=3×4=12km²
area of rectangle EFGC=L×b=8×6=48km²
total area =6.28+12+48=66.28 square kilometers.
A citys annual rainfall totals are normally distributed and the probability that the city gets more than 43.2 inches of rain in a year is given by P(z < 1.5) = 0.0668. If the standard deviation of the city's yearly rainfall total is 1,8 inches, what is the city mean annual rainfall?
Answer: 40.5
Step-by-step explanation:
Help! I will Mark Brainliest!
For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.
−3
3
2
−2
Answer:
Your answer is B. I had some help from my mom.
Step-by-step explanation:
the average rate of change on the interval [1, 2] is found by computing
(f(2) - f(1))/(2 - 1)
= ((4^1+2) - (4^0+2)/1
= (6-3)
= 3
The graph of y = f(x) is shown below. Find the value of f(9).
Answer:
f(9) = 4
Step-by-step explanation:
Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then
The value of f(9) = 4
Solve the following system of equations algebraically:
y = x^2 – 10x + 15
y = 2x – 5
Answer:
(2, -1)
(10, 15)
Step-by-step explanation:
Subtract the second equation from the first
y = x² – 10x + 15
- (y = 2x – 5)
————————————
0 = x² - 12x + 20
Factor
(x - 2)(x - 10) = 0
x = {2, 10}
-------------------
For x = 2
y = 2(2) - 5
y = -1
Solution 1
(2, -1)
----------------------
For x = 10
y = 2(10) - 5
y = 15
Solution 2
(10, 15)
When you spin a rectangle, what 3D figure do you get? cylinder prism cone sphere
Answer:
A cylinder
Step-by-step explanation:
When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.
Answer:
CYLINDER
Step-by-step explanation:
Find the mean, median, and mode. Plz help me it’s a test
Answer:
Mean- 70.8
Median- 70
Mode- 60
Step-by-step explanation:
Mean: 20+20+50+50+50+60+60+60+60+60+60+70+70+70+80+80+80+80+90+90+90+90+100+100+130= 1770
1770/ 25= 70.8
Median: cross off on each sides till you get to the middle number
Mode: 60 occurs the most frequent
This is easy I just need the answer thanks!!! :)
Answer:
225 inches
Step-by-step explanation:
15 x 15 = 225
i need help with geometry!!
Answer:
1 - 178cm
2 - 1,039.2 m
Step-by-step explanation:
A wheel with a 1 foot radius spins in place in a counterclockwise direction. Explain why the distance point P travels is the same as the angle of revolution (measured in radians) of this wheel?
Answer:
See below.
Step-by-step explanation:
The definition of radian is:
A radian is a unit of angle measurement such that a central angle of a circle measuring 1 radian subtends and arc of the circle whose length equals the radius if the circle.
In this case, the radius is 1 foot. Point P travels along the arc formed by an angle. When the angle is 1 radian, the arc length equals the radius of the circle, 1 foot. It is simply following the definition of radian.
Point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
What is 1 radian?One radian is defined as the angle subtended from the centre of a circle which intercepts an arc equal in length to the radius of the circle.
Circumference of the circle = 2π(1) =2π feet.
This means point P will travel a 2π distance in a complete revolution.
A complete revolution = 360° or 2π
Hence, point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
To get more about circles visit:
https://brainly.com/question/24375372
Walltown is 25 miles east of Park City.
- Park City is 38 miles south of Edenton,
• Michael drove from Edenton to Park City and then to Walltown.
- Leah drove straight from Edenton to Walltown
About how much farther
did Michael drive than Leah
5 miles
25 miles
34 miles
45.5 miles
TRA
WUNNIN
Answer:
Since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.
Step-by-step explanation:
Given that Walltown is 25 miles east of Park City, and Park City is 38 miles south of Edenton, and Michael drove from Edenton to Park City and then to Walltown while Leah drove straight from Edenton to Walltown, to determine about how much farther did Michael drive than Leah, the following calculation must be performed, using the Pythagorean theorem:
Michael:
38 + 25 = 63
Leah:
25 ^ 2 + 38 ^ 2 = X ^ 2
625 + 1,444 = X ^ 2
2,069 = X ^ 2
√2,069 = X
45.48 = X
63 - 45.49 = 17.51
Therefore, since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.
Find value of trigonometric ratio round your answer to four decimal places
tan a
Answer:
tan A = .3429
Step-by-step explanation:
Tangent = Opposite over Adjacent
The opposite of ∠A = 12 and the adjacent = 35
so tan A = 12/35 which equals .3428571492
The question asks us to round to four decimal places
Hence, the answer is .3429
A line passes through the point (-8, 2) and has a slope of -1
Answer:
y=-x-6
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. We know that it passes through (-8,2) so y1=2 and x1=-8. We also know that the slope is -1 so we can now fill in the equation. y-2=-1(x--8). We can change x--8 to x+8 so y-2=-1(x+8). Simplify this to get y-2=-x-8. You want to isolate y so you have to add 2 on both sides. y=-x-6. Therefore, the equation is y=-x-6.
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A rectangular swimming pool has a base with measurements of 25 meters and 17 meters. The height of the pool is 2 meters, what is the volume of the pool
Answer:
850m³
Step-by-step explanation:
Volume is length X width X height.
So, 25 x 17 x 2 = 850 meters cubed
Select all the right triangles, given the lengths of the sides.
Answer:
A and E are right triangles
Triangles A and triangle E are the right-angle triangle, but triangles B, C, and D are not right-angle triangles.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
Applying in Pythagoras theorem in the triangle A:
(√5)² = (√2)²+ (√3)²
5 = 5
Triangle A is the right-angle triangle.
For triangle B:
(√5)² = (√4)²+ (√3)²
5 ≠ 7
Triangle B is not the right-angle triangle
For triangle C:
16 + 25 ≠ 36
triangle C is not a right-angle triangle
For triangle D:
25 + 25 ≠ 49
triangle D is not a right-angle triangle
For triangle E:
100 = 36 + 64
It is a right-angle triangle.
Thus, triangles A and triangle E is the right angle triangle.
Learn more about a right angle;
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Rect. Prism = 2(lw) + 2(wh) + 2(1h)
SA Cube = 6s 2 squared
Which has more surface area, a cube that is 10 in wide, or a rectangular prism that is 12 in wide, 10 in long, and 8 in tall?
Answer:
Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.
For example, the rectangular prism below has a volume of 181818 cubic units because it is made up of 181818 unit cubes. also the rectangle has more suface
area Step-by-step explanation:
I need help with this question. check your solution please show WORK please. 5 = x + 8
Answer:
x = -3
Step-by-step explanation:
5 = x + 8
You need to get x by Itself so subtract 8 to both sides.
5 - 8 = -3
so therefore x = - 3
if 2/3x - 1 = 4 then x = ?
Answer: 2/15
Step-by-step explanation:
2/3x-1(3x/3x)=4
2/3x-3x/3x=4
2-3x=12x
2=15x
x=2/15
True or false
A prism always has an even number of vertices
Answer:
I think its true
please help me i need it done fast ill give brainest !! its a e+am ( i can't put the real word bc brainly will delete it )
Answer:
C
Step-by-step explanation:
Continental Drift Theory says that all the continents used to be one landmass called Pangaea, and that proves how glaciers, fossils, and plants are on different sides of oceans.
(Is proven to be true.)
So that leaf must have came from a tropical landmass like Australia, Africa, or South America.
Since C is the one that explains Plate Tectonic Theory, it is correct.
The quadrilateral shown is a rectangle. What is measure zvw
Answer:
measure of zvm is 119°
Step-by-step explanation:
xvw+zvw=180°{straight angle}zvm=180-61=119°stay safe healthy and happy.Solve the right triangle.
Round your answers to the nearest tenth.
Rectangle has a vertices at (-1,4), (-1,-1) and (4, -1) where is the fourth vertex located
Answer:
(4,4)
Step-by-step explanation:
1. I drew a grid and plotted the 3 points I already knew
2. I found the spot that had the same x coordinate that the point to the bottom left of the shape, and the same y coordinate of the top right of the shape which was the point (4,4)
I hope this helps!!