Answer:
it's so hard ain't it
Step-by-step explanation:
what are the solution to x^2+6x=27
Step-by-step explanation:
So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.
Now, we can use the quadratic formula to solve.
I attached it below.
Your a value will be 1, the b value is +6, and the c value is -27.
Plug into the formula and then solve. :)
Find the lateral surface area of a triangular prism with height of 6 inches and right triangles bases with legs 9 inches and 12 inches
Given:
Height of a triangular prism = 6 inches
Legs of right triangular base are 9 inches and 12 inches.
To find:
The lateral surface area of a triangular prism.
Solution:
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem, we get
[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]
[tex]Hypotenuse^2=81+144[/tex]
[tex]Hypotenuse^2=225[/tex]
Taking square root on both sides, we get
[tex]Hypotenuse=\sqrt{225}[/tex]
[tex]Hypotenuse=15[/tex]
Now, the lateral surface area of a triangular prism.
[tex]A=Ph[/tex]
Where, P is the perimeter of the base and h is the height of the prism.
[tex]A=(9+12+15)\times 6[/tex]
[tex]A=(36)\times 6[/tex]
[tex]A=216[/tex]
Therefore, the lateral surface area of a triangular prism is 216 square inches.
Quadrants on the coordinate plane Select the quadrant or axis where each ordered pair is located on a coordinate plane. Quadrant Quadrant II Quadrant III Quadrant IV I-axis y-axis (-9.-8) (1.0) (7.5.2 Stuck? Watch a video or use a hint. Report a problem
Answer:
lll
Step-by-step explanation:
Anybody help me please!!!!!!!!
Answer:
A reflection over the x axis
Step-by-step explanation:
With the x axis you flip it down or up
With the y you flip it to the left or to the right
A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.
Answer:
The volume of the box is 33.796 cubic inches
Step-by-step explanation:
Given
[tex]Height = 7in[/tex]
See attachment for the base of the prism
Required
The volume of the box
From the attachment, we have:
[tex]a = 1in[/tex] -- side length of the octagon
The area is then calculated as:
[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]
So, we have:
[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]
[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]
[tex]Area = 2 * (1 + \sqrt 2)[/tex]
Evaluate the square root
[tex]Area = 2 * (1 + 1.414)[/tex]
[tex]Area = 2 * (2.414)[/tex]
[tex]Area = 4.828[/tex]
The volume is then calculated as:
[tex]Volume = Height * Base\ Area[/tex]
[tex]Volume = 7 * 4.828[/tex]
[tex]Volume = 33.796[/tex]
Answer:
287 is the right answer
Step-by-step explanation:
Hopes this helps.
Solve n÷6>2. Graph the solution.
Step-by-step explanation:
n/6 > 2
x6. x6
n > 12
hope this helps
5. A standard-size volleyball court has an area of 1,800 square feet. The base of the court is 60 feet. What is the height of the court?
Answer:
30 feet
Step-by-step explanation:
The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.
HELP me please with 9,10,11,12
Answer:
9.) The Outlier is 18
-The outlier is the number that stands out and is different
a computer store sells six different computers four different monitors five different printers and three different multimedia packages how many different computer systems are available?
please help this is urgent
Answer:
Im pretty sure its 18.
Step-by-step explanation:
Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:
[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]
To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded
monthly. Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously. After 14 years, how much more money would Matthew
have in his account than Peyton, to the nearest dollar?
Answer:
$126
Step-by-step explanation:
We solve using Compound Interest formula
For Matthew
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.
P = $4700
R = 3 3/8 % = 3.375 %
t = 14 years
n = Compounded Monthly = 12
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 3.375/100
r = 0.03375 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,700.00(1 + 0.03375/12)^(12)(14)
A = 4,700.00(1 + 0.0028125)^(168)
A = $7,533.80
For Peyton, we are using a different compound interest formula because it is compounded continuously
Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously.
P = $4700
R = 3 1/4 % = 3.25%
t = 14 years
n = Compounded continuously
First, convert R as a percent to r as a decimal
r = R/100
r = 3.25/100
r = 0.0325 rate per year,
Then solve the equation for A
A = Pe^rt
A = 4,700.00e^(0.0325)(14)
A = $7,408.01
After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:
$7,533.80 - $7,408.01
= $125.79
Approximately = $126 to the nearest dollar
Answer:
126
Step-by-step explanation:
126 to the nearest dollar
The image of (2, - 1) after a translation of (x, y) + (x -1, y+3) is
Solve for x. Round to the nearest tenth!
Answer:
x=1.7
Step-by-step explanation:
sin20=x/5
x=5sin20
x=1.7
Please help! - Geometry - 15 points - One question -
Answer: m<DCB= 50 degrees
Step-by-step explanation:
120= (15x+5)+(22x+4)
120= 37x+9
111= 37x
x=3
15(3)+5
45+5=
50
4. Car types 318 words in 3 minutes. At this rate, how many words does Carl type in 5 minutes?
need the answers to these questions please
Answer:
a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:
[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]
[tex]p = 88\,cm[/tex]
b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:
[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]
[tex]p = 24\,cm[/tex]
c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:
[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]
[tex]p \approx 25.424\,m[/tex]
d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:
[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]
[tex]p \approx 39.368\,cm[/tex]
1/9 equals what squared?
Answer:
1/3 I think??????
If f (2) = 2x2 + 3x – 9 and g(x) = 3x2 + 8 find (f + g)(x)
Answer:
3x² + 13
Step-by-step explanation:
f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5
g(x) = 3x² + 8
added together: 3x² + 8 + 5 = 3x² + 13
Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that - 2 + i and 7 are zeros.
In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as
p(x) = a x ³ + b x ² + c x + d
We're told the leading coefficient is a = 1, so
p(x) = x ³ + b x ² + c x + d
Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.
Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:
p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)
Now just expand this to get
p(x) = x ³ - 3 x ² - 23 x - 35
Each figure shows a triangle with one of its angle bisectors.
Answer:
m<2 is 17 degrees
Step-by-step explanation:
We can see that the angle at the vertex E was bisected to give two different but equal angles
Thus, we have it that;
2x + 7 = 4x-3
4x-2x = 7+ 3
2x = 10
x = 10/2
x = 5
so m<2 = 4(5) -3 = 20-3 = 17 degrees
Solve for the value of x! Please help don’t use this just for points
Answer:
x=3
Step-by-step explanation:
If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.
HELP ME PLZ!!!!!!!!!!!!!!!!!!
Answer:
A) 2 adults ....
B) 2% of adults.....
C) 3 % of adults...
Step-by-step explanation:
All the adults are 100 do any numbers past or under is like deciding by 100
Hope I helped
The diameter of a circle is 13 m. Find its area to the nearest tenth.
Answer:
A ≈ 132.73
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Aranibar had 35 in his safety box in January. By thanksgiving, he has $2500. What was his savings rate?
Answer:
71.43%
Step-by-step explanation:
2500/35 = 71.43
Aranibar's savings went up by 71.43%
2x – y = 7
y = 2x + 3
Answer:
2x – y = 7 answer for this one is x-1/2y+7/2 (the '/' is a fraction)
y = 2x + 3 is x=1/2y+-3/2
Step-by-step explanation:
Sheldon is a long distance runner. He can run a mile at a consistent pace of 6 4/5 minutes. How many miles can he run in 30 minutes, if he keeps that pace? miles. please put as fraction
Answer:
n
Step-by-step expmlanation:
Answer:
10-15 miles I believe
if one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k
Answer:
Step-by-step explanation:
hello :
if x1 and x2 this zero for ax²+bx+c you have : x1 = 1 /x2 means :x1 × x2 =1
but : x1 × x2 = c /a
in this exercice : a =8 and b = -13 and c = - 4k
so : c/a =-4k/8
so : -4k/8 = 1
-4k = 8 k = 8/-4 k = -2
this polynomial is : 8x²-13x +8
Which of the following inequalitties is correct
-a > -b
-a > a
a > c
(Look at picture)
Answer:
You were right the correct option is
- a > - b
help now pls thank u
Answer:
120 inches of strands
Step-by-step explanation:
finding the diagonal
=[tex]\sqrt{(100+576)}[/tex]
= 26 inches
perimeter of the window = 2(10+24)
= 68 inches
total strands needed to be purchased = [(2×26)+68] inches
= 120 inches of strands
whats the surface area of 12 length 4 high and 5 width it is also a Triangle prism
Answer:
The answer is most likely 174.68
Step-by-step explanation:
Using the formula A = (2A_B) + (a + b + c)(h)
we can find the surface area
12 is a and c
5 is b
4 is h
This question was vague so the answer might be incorrect.
convert 10 hours into minutes
Answer:
600 minutes
Step-by-step explanation:
60 minutes in an hour
60 × 10 is 600