Which number is a solution of the inequality?
3x - 15 ≥ 3
a.) -9/11
b.)6/11
c.)6
d.)5
Answer:
6
Step-by-step explanation:
[tex]3x - 15 \geqslant 3[/tex]
[tex]3x \geqslant 3 + 15[/tex]
[tex]x \geqslant \frac{18}{3} [/tex]
[tex]x \geqslant 6[/tex]
(x^2+1)(x-1)=0 help me pls
Answer:
x = ±i , x=1
Step-by-step explanation:
(x^2+1)(x-1)=0
Using the zero product property
x^2 +1 = 0 x-1= 0
x^2 = -1 x=1
Taking the square root of the equation on the left
sqrt(x^2) = sqrt(-1)
x = ±i where i is the imaginary number
We still have x=1 from the equation on the right
Find the measure of the indicated angle to the nearest degree.
Answer:
Step-by-step explanation:
Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.
Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)
Lets start!
cos[tex]\theta\\[/tex] = adj/hyp
cos[tex]\theta\\[/tex] = 6/13
[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)
[tex]\theta\\[/tex] = 62.5
[tex]\theta\\[/tex] = 63
Hope that helped!
Which shapes have the greatest area?
(Select all that apply.)
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest
Find the length of UC? Please help
Answer:
The choose C. 18
Step-by-step explanation:
UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18
I hope I helped you^_^
explanation would be appreciated. i don’t understand
Answer:
[tex]28\sqrt{3}[/tex]
Step-by-step explanation:
The area of the big triangle is 1/2 b h = 1/2*6*(12^2 = 6^2 + x^2)
that ends up being [tex]\sqrt{108} = 36\sqrt{3}[/tex]
the small triangle are needs to be subtracted....
[tex]\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)}[/tex] that is the length of the unknown side...
1/2 B * h of that triangle get you to [tex]8\sqrt{3}[/tex]
just subtract the two areas
Answer:
(B) 28√3
Step-by-step explanation:
The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.
Area of triangle CDE:
Triangle ABC is equilateral. All sides have length 12.
AB = BC = AC = 12
BE = 8
BE + EC = BC
8 + EC = 12
EC = 4
In an equilateral triangle, all angles measure 60°.
m<C = 60°
m<CDE = 30°
Triangle CDE is a 30-60-90 triangle.
DE = EC√3
DE = 4√3
area of triangle CDE = bh/2
area of triangle CDE = (EC)(DE)/2
area of triangle CDE = (4)(4√3)/2
area of triangle CDE = 8√3
Area of triangle ABC:
Side AC is a base of triangle ABC.
AC = 12
(1/2)AC = 6
The altitude of triangle ABC from side AC to vertex B measures
h = 6√3
area of triangle ABC = bh/2
area of triangle ABC = (AC)(h)/2
area of triangle ABC = (12)(6√3)/2
area of triangle ABC = 36√3
area of quadrilateral ABED = area of triangle ABC - area of triangle CDE
area of quadrilateral ABED = 36√3 - 8√3
area of quadrilateral ABED = 28√3
Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?
How long, to the nearest day, until it is safe to swim again will be 156 days
Let x represent number of day until it is safe to swim again
First step
=2000 *1/2^x
100=2000 *0.5^x
0.05=0.5^x
Second step
Log 0.05=xLog 0.5
Log 0.05/L0g 0.5=x
x=36 days* Log 0.05/L0g 0.5
x=36 days*43.22
x=156 days
Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days
Learn more about radioactive element here:
https://brainly.com/question/13812761
Which polygon has an interior angle sum of 1080°?
Answer:
its octagon. first and last one it has total 8 sides
What is the estimate for 312+138+207
Answer:
657
Step-by-step explanation:
312 + 138 + 207
= 450 + 207
= 657
Answer:
600
Step-by-step explanation:
To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.
312: there is one in the tenths place, so it will stay as 300.
138: there is three in the tenths place, so it will stay as 100.
207: there is a zero in the tenths place, so it will stay as 200.
If you are doing it with the one's place, it is the same method. Either round up or down.
300 + 100 + 200 = 600
The answer is 600.
Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.
PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((
The distance AB rounded to the nearest tenth = [?]
Answer:
4.5 units
Step-by-step explanation:
Use the distance formula
[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{16+4}=\sqrt{20}[/tex]
The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Meaning of DistanceDistance can me defined as a measure that tells us how far apart two objects or individual are to each other.
Distance is very important as it helps us know where exactly things are located and whether they are close or far apart
In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Learn more about Distance: https://brainly.com/question/17273444
#SPJ2
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
Solve for x: -5 < 8x + 11 < 19
Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
HELP, round to the nearest penny.
$11,579.9998
Answer:
11,580.00
Step-by-step explanation:
So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00
Hope this helps!!! Have a good rest of your day! :)
Pls help. I really suck at math.
Determine whether the following polygons are similar.
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
use the prime factors of 3136 and 2744 to evaluate:✓3136/3✓2744
Answer:
3136 = 2^6 × 7^2
2744 = 2^3 x 7^3
✓3136/3✓2744 = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14
PLZ HELP!!!
Find the range of the following piecewise function.
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
Find the 5th term of each geometric sequence. 32,80, 200
Answer:
12.8
Step-by-step explanation:
| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
Answer:
hello,
Step-by-step explanation:
center angle : 360°/7 °
half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °
interior angle= 128°+4/7°≈128.6 °
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2
Answer:
3x=10
Step-by-step explanation:
x=10-3
x=7
i hope this answer will help u
Answer:
4x = 47x+2
Step-by-step explanation:
Using the one–to–one property, you can set x = 7x + 2.
Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?
Answer:
75% of the specials served were salmon fillets
Step-by-step explanation:
We have that:
15 + 5 = 20 specials were served.
Of those, 5 were salmon fillets.
What percentage of the specials served were salmon fillets?
15*100%/20 = 75%
75% of the specials served were salmon fillets
Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.
Answer:
Rounded to the nearest tenth, 7.4 feet long.
Step-by-step explanation:
Tyrone has a rectangular storage unit. We are given the width and the diagonal length.
So we can use Pythagorean Theorem.
3^2 + b^2 = 8^2
9 + b^2 = 64
subtract 9 from both sides
b^2 = 55
b = sqrt55
b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.
PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
Answer:
2/3
Step-by-step explanation:
The graph point is on (3,2)
If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.
Answer:
thanks for free ponits you dint gave it free but I theft I'm sorry
Question 2 Evaluate the expression 2(x - 3) + 3y when x = 5 and y = 3. Mark the correct answer.
A. 13
B. 15
C. 16
D. 25
Answer:
A. 13
Step-by-step explanation:
2(x - 3) + 3y
2(5 - 3) + 3×3
2× 2 + 3×3
4 + 9
13
Answer:
The correct answer is A
Step-by-step explanation:
2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)
next,
you would solve it
2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3
finally you solve it
10-6 = 4 +9
= 13!
Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x = -7
Step-by-step explanation:
First we find the slope using
m = ( y2-y1)/(x2-x1)
= ( -8 - 5)/( -7 - -7)
= (-8-5)/(-7+7)
= -13/0
This means the slope is undefined and the line is vertical
Vertical lines are in the form
x= constant and the constant is the x value of the points
x = -7
A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?
Answer: [tex]V=0.0028278\ m^3[/tex]
Step-by-step explanation:
Given
Length of the pipe [tex]l=4\ m[/tex]
Inside diameter of the pipe [tex]d_i=4\ cm[/tex]
Outside diameter of the pipe [tex]d_o=5\ cm[/tex]
Volume of the pipe
[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]
what is the area of the figure below?
Answer:
15x^9
Step-by-step explanation:
A=l x w
5x^4 times 3x^5 is basically 3*5*x^4*x^5
when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9
