Answer:
n = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
you can create this proportion:
18/n = n/6
cross-multiply:
n² = 108
n = [tex]\sqrt{108}[/tex]
[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]
please someone answer this, “what is the area of triangle ABC?”
Here's the solution,
The given triangle is an equilateral triangle, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》
[tex] \dfrac{ \sqrt{3} }{4} {a}^{2} [/tex]
where,
a = 8 ( side measure )=》
[tex] \dfrac{ \sqrt{3} }{4} \times 8 \times 8[/tex]
=》
[tex] \sqrt{3} \times 16[/tex]
=》
[tex]16 \sqrt{3} \: \: \: cm {}^{2} [/tex]
or
=》
[tex]27.71 \: \: cm {}^{2} [/tex]
Help!!! Here is a screenshot of the problem.
Answer:
4
Step-by-step explanation:
In how many ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each
coin?
Answer:
2 quarters, one nickel and two dimes
Step-by-step explanation:
2 quarters = 25 cents + 25 cents = 50 cents
Nickel is 5 cents
Two dimes is 10+10 = 20
50+20+5=75
Find the gradient of the curve y = x^5/2 at the point where x = 4
Given:
The equation of the curve is:
[tex]y=x^{\frac{5}{2}}[/tex]
To find:
The gradient of the given curve at the point where [tex]x = 4[/tex].
Solution:
We have,
[tex]y=x^{\frac{5}{2}}[/tex]
Differentiate with respect to x.
[tex]y'=\dfrac{5}{2}x^{\frac{5}{2}-1}[/tex] [tex][\because \dfrac{d}{dx}x^n=nx^{n-1}][/tex]
[tex]y'=\dfrac{5}{2}x^{\frac{3}{2}}[/tex]
Substituting [tex]x=4[/tex], we get
[tex]y'=\dfrac{5}{2}(4)^{\frac{3}{2}}[/tex]
[tex]y'=\dfrac{5}{2}(2^2)^{\frac{3}{2}}[/tex]
Using properties of exponents, we get
[tex]y'=\dfrac{5}{2}(2)^{2\times \frac{3}{2}}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]y'=\dfrac{5}{2}(2)^{3}[/tex]
[tex]y'=\dfrac{5}{2}(8)[/tex]
[tex]y'=20[/tex]
Therefore, the gradient of the given curve at the point where [tex]x = 4[/tex] is 20.
14pts FOR THIS ONE!! PLEASE
Answer:
What website is this picture on. I can not see the picture.
Step-by-step explanation:
What value of z makes this equation true?
Z+32=73+25
A.
66
B.
67
C.
80
D.
79
Answer:
B. 66
Step-by-step explanation:
73+25 = 98
Z = 98-32
Z = 66
Solve the simultaneous equations
2x+4y=-9
2y=4x-7
Answer:
x=1/2,-5/2
Step-by-step explanation:
Everythings in the pic!
Answer:
D. 32 times; 5/4*40 = 32Step-by-step explanation:
It is expected the spinner to land on Red 1/5 times.
If the spinner is spun 40 times, then it should land on Red:
1/5*40 = 8 timesAnd it should not land on red:
(1 - 1/5)*40 = 4/5*40 = 32 timesCorrect choice is D
what is summer academy help fr fr ☝️
Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer pllzzzzzzzzzzzz
Answer:
Step-by-step explanation:
3 a) 6
3 b) 12
3 c) 12
4 a) 4/5
4 b) 10/9
4 c) 17/15
What is the area of the triangle?
Answer:
289m2
Step-by-step explanation:
The mathematical formula for the area of the triangle is:
base x height / 2
What is the value of b?
Help please
Answer:
4/3 is ur answer which is equal to 6.92820323028
which i B's side length
Step-by-step explanation:
factorise 5x^3-15x^2 + 25x by 5
Answer:
x^3- 3x^2+ 5x
Step-by-step explanation:
basically divide the coefficents by 5
Decide if the expression is positive or negative - explain how you know in words
−11×(23)
someone please answer this fast 35cos(78)
Answer:
−30.02310826357
Step-by-step explanation:
−30.02310826357
If you vertically stretch the square root parent function, F(x)= square roor x, by 7 units, what is the equation of the new function?
Answer:
g(x) = 7√x
Step-by-step explanation:
Parent function: f(x) = √x
Parent function vertically stretched by a factor of 7: g(x) = 7√x
The equation of the new function is 7√x.
What is a scale factor?Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.
For the given situation,
The equation is F(x) = √x
The parent function is vertically stretched by 7 units.
So, the new function is
⇒ [tex]7(\sqrt{x} )[/tex]
⇒ [tex]7\sqrt{x}[/tex]
Hence we can conclude that the equation of the new function is 7√x.
Learn more about scale factor here
https://brainly.com/question/22644306
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What is the range of the following relation?
Oxso
all real numbers
Answer:
Step-by-step explanation:
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
pt.2 PLS HELP I NEED HELP DUE SOOONNNNNNNN AND BRAINLIST
Step-by-step explanation:
15) 13x = 130 x = 10
16) 16x+2+43x+1 = 180 59 x = 177 x = 3
17) 29x+3+31x-3 = 180 60x = 180 x = 3
18) 16x -5 + -5 + 22x = 180 38x = 190 x = 5
TRUE OR FALSE!!!!?????
Answer:
the statement is a true statement
Maria deposits $1,950 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Maria’s account earned after 4 years?
Answer:
x = .06418
Step-by-step explanation:
2 + (9.2)−8x = 2.32
(9.2)−8x = 2.32 − 2
log (9.2)−8x = log .32
−8x log 9.2 = log .32
−8x log 9.2
−8 log 9.2
=
log .32
−8 log 9.2
x = .06418
What is the surface area of a cube with a side length of 3/4 inch? Use the expression 6s 2, where is the side length of the cube
Answer: The surface area of the cube would be 3^3/4.
Step-by-step explanation:
A cube has 6 faces [ 6 surfaces ]. Each surface has a square shape.
The area of 1 surface= (side)^2= 3/4 · 3/4= 9/16 sqr.in.
Surface area of cube =9/16 · 1/6= 54/16.
divide both top and bottom (54 and 16) by 2. you should end up with 27/8.
27/8 = 3^3/4 sqr. in.
Hope this helps.
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?
Answer:
They have atleast two or one left
Write an inequality that describes the graph
Answer:
x<4
Step-by-step explanation:
The arrow is facing left, making it less than. Next, the open circle on 4 means that it does not include 4, therefore the inequality is x<4.
The inequality that represents this situation is - ∞ ≤ x < 4.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Assuming the number line is represented by x.
An open circle on the right-hand side of the line at 4 represents it is less than 4.
We can also observe that the line is going infinitely in the direction of negative infinity.
So, this situation can be represented by an inequality of the form
- ∞ ≤ x < 4.
learn more about inequalities here :
https://brainly.com/question/28823603
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What is the formula for the volume of a cylinder? (Use the word Pi instead of the symbol)
Answer:
pi x radius x 2 x height of the cylinder.
Jacob sold 40 candy bars and made $65. He sold two types of
bars - chocolate for $2 each and peanut butter for $1 each.
How many of each type of candy bar did Jacob sell?
Answer:
Jacob sold 25 bars - chocolates and 15 peanut butter.
Step-by-step explanation:
Jacob sold 40 candy bars.
Let the bars - chocolate be x and peanut butter be y and made $65.
Now,
x + y = 40 ...(1)
2x + y = 65 ...(2)
Now, From equation (1) we get,
x + y = 40
x = 40 - y
Now, put the value of x = 40 - y in equation (2) we get,
2x + y = 65
2(40 - y) + y = 65
80 - 2y + y = 65
y = 80 - 65
y = 15
Now, put the value of y in equation (1)
x + y = 40
x + 15 = 40
x = 40 - 15
x = 25
The bars - chocolate = x = 25 and
peanut butter = y = 15
Thus, Jacob sold 25 bars - chocolates and 15 peanut butter.
-TheUnknownScientist
A teacher has a large container filled with blue, red, and green beads. She wants her students to estimate the proportion of red beads. Each student shakes the container, selects 50 beads, counts the number of red beads, and returns the beads to the container. One student’s sample contained 19 red beads. The students are asked to construct a 95% confidence interval for the true proportion of red beads in the container. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answer:
A
Step-by-step explanation:
Answer:
C: No, the randomness condition is not met.
Step-by-step explanation:
took the test on edge
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
C.14ײ+5
Step-by-step explanation:
Hope It Help
Brainliest please
747 = (9 times x) + 9
Answer:
x=82
Step-by-step explanation:
You start of with subtracting both sides with 9
then you divide both side with 9
Remember the rule that whatever you do to one side, you have to do to the other side. So, how do we find x? The objective when we are simplifying equations like this is to isolate x. We need to make x lonely on one side. So let's try!
747 = 9x + 9
What is the first step to making x lonely? Usually try to use the property of addition or subtraction because it makes things 10x easier. So, using the idea of using addition or subtraction, let's make x lonely by minusing 9 on both sides.
747 = 9x + 9
- 9 - 9 (Remember we have to do the same thing to both sides!)
738 = 9x
Now we have 9 times x = 738. Hm, how do we make x lonely even more? What if divide both sides by 9. We are dividing both sides by 9 because this way, the 9 times will cancel out and disappear. Look:
738 = 9x
÷9 ÷9
82 = x
And there we go, we made x completely lonely and found out x = 82!
3x + 4 = 5x -10 true or false this equation can be simplified combining like terms to become 8x + 4= -10