Answer:
[tex]x = 6.99in[/tex]
Step-by-step explanation:
Given
[tex]l =2in[/tex]
[tex]Volume = 72.66in^3[/tex]
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]
This gives:
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]
[tex]Base\ Area= 3\sqrt 3 * 2[/tex]
[tex]Base\ Area= 6\sqrt 3[/tex]
Side x represents the height.
So, we have:
[tex]Volume = Base\ Area*x[/tex]
Make x the subject
[tex]x = \frac{Volume }{ Base\ Area}[/tex]
[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]
[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]
[tex]x = \frac{12.11}{\sqrt 3}in[/tex]
[tex]x = 6.99in[/tex] --- approximated
Please help!! I have a test tomorrow and I'm struggling to answer this question
A periodic function f(x) has a period of 11. The values of f(3) and f(11) are 12 and 27, respectively. What is the value of f(14)?
Answer:
12
Step-by-step explanation:
f(14)= f (3 + 11)
= f(3) = 12
Therefore the value of f(14) is 12.
Acri invested $500 for 3 years at the rate of 2.8% per year compound interest. Calculate the final amount he has after 3 years
Answer:
[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]
A = 500(1 + .028/1)^ (3*1)
$543.19
Step-by-step explanation:
Which is the simplified form?
Tatiana is playing a video game. She earns 25 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
How many points will Tatiana earn when she completes Level 7?
Answer:
18,225
Step-by-step explanation:
L1=25
L2=75
L3=225
the pattern is (25)* 3^(n-1)
L1=3^0*25 = 25
L2=3^1*25 = 3* 25 = 75
L3=3^2*25 = 9* 25 = 225
.
.
L7=3^6*25 = 729* 25 = 18,225
POR is a right-angled triangle.
13 cm
5 cm
12 cm
Work out the size of angle POR.
Give your answer correct to 1 decimal place.
+ +
1
Total marks: 3
Answer:
As 3-4-5 5-12-13 is a right triangle
5^2 + 12^2 = 25 * 144 = 169 = 13^2
Not sure how POR is designated, but
cos theta = 12/13 = .923 theta = 22.6 deg
sin theta = 5/13 = .385 theta = 22.6 deg
does anyone know how to do this ?
Answer:
i^85 = i
A way you can solve this is divide 85 by4
The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.
2.07 x 1.7= ________ by step explenation
Answer:
3.519
Step-by-step explanation:
2.07 x 1.7 = 3.519
Write the following number in standard decimal form
seven and fifty-two thousandths
Please help
Answer:
seven and fifty-two thousandths as a decimal
Step-by-step explanation:
7.52
Your answer should be 7.052
The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:
tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you
evaluate the function for x = -8.
f(x) = -2x - 12
Answer:
4
Step-by-step explanation:
f(-8)=-2(-8)-12
f(-8)=16-12
=4
Please help? I really need it
Answer:
216 in²
Step-by-step explanation:
a = bh
a = 18 * 12
a = 216
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-12-1
-3
-11
2
2
-1
2
х
-1
DO
o
-13
من ال۔
ला
==================================================
Explanation:
Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.
Adding on another quarter slice gets us 4/4+1/4 = 5/4
In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.
So 1 & 1/4 = 5/4
This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.
Now we'll add on 1/2, which is the same as 2/4, like so
(-1 & 1/4) + 1/2
-(1 & 1/4) + 2/4
-(1 + 1/4) + 2/4
-1 - 1/4 + 2/4
-1 + (-1/4 + 2/4)
-1 + 1/4
-4/4 + 1/4
-3/4
which points us to choice C as our final answer
Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.
Side note: -3/4 converts to the decimal -0.75
What is the value of
4/3 divided by 2/5 ?
Answer:
4/3 ÷ 2/5
= 4/3 × 5/2
= 4×5/3×2
= 20/6
= 10/3 = 3 1/3 or 3.3333
Given that ABCD is a rhombus, what is the value of x?
Answer:20.75
Step-by-step explanation:
Trust me gangsta
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
Answer: The answer is y= f(x+1)+5
Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.
Find the interest rate if £6400 has a final value of £8334 in 3 years. Give your answer to 1 d.p
Answer:
Step-by-step explanation:
6400(1+i)³=8334
(1+i)³=1.3021875
∛(1+i)³=∛(1.3021875)
1+i= 1.092
i= .092
I guess if you were to round to 1 decimal point it'd be .1
20 POINTS!
The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours
to drive the distance at 50 miles per hour, how long will it take to drive the same distance at 40
miles per hour?
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
What is the theoretical probability for a family with three children for two girls and a boy
Answer:
1 time 2 ratio per boy, and 3 to 2 ratio per girl
Step-by-step explanation:
What is the value of the expression 1/3x − 3/4 when x = 1/4?
BRAINLIEST PLEASE HELP!
Write the standard equation for the circle center (-6 -8) that passes through (0 0)
Answer:
(x + 6)² + (y + 8)² = 100
Step-by-step explanation:
The standard equation for a circle is (x - a)² + (y - b)² = r²
If you find the r² of this circle, you will get 100, and there's just one equation with 100
Suppose your mother can clean your kitchen in 30 minutes. You can clean the kitchen in 45 minutes. How long will it take you and your mother to clean the kitchen working together? (write equation and show work to solve)
Answer:
it will take 18 min
Step-by-step explanation:
1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18
Which choice is equivalent to the fraction below when x >= 2
B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅
Step-by-step explanation:
[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Find mAC.
Pls help me
Answer:
Measure of Arc AC is 30 degrees
Step-by-step explanation:
To find the value of the marked arc, we are going to use the arc-angle relationship
from the type of given diagram, we can figure out the relationship to use
Mathematically, we have this as;
Measure of Arc AC = 2 * angle ABC
So we have arc AC as 2 * 15
Arc AC = 30 degrees
PLEASE HELP ME PLEASE AS SOON AS YOU CAN
EXPLAINATION = BRAINLIEST
THANK YOU SO MUCH
Answer:
35.18576
Step-by-step explanation:
use eqation E
Answer:
If the angle is in radians...
Area of sector =½r²¢
Where ¢ is theta.
Since Our angle is degree
We use
Area of Sector = ¢/360 x πr²
¢=theta
radius = Diameter/2
radius = 16/2 = 8m
Area = 126/360 x π x 8²
= 112π/5
=70.37
Find the measure of the largest angle.
Answer:
4x-7
Step-by-step explanation:
Solve for x:
180 = 44 + 3x - 11 + 4x - 7
Combine like terms: 180 = 26 + 7x
Simplify: 154 = 7x
Simplify: 22 = x
Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81
Create inequality: 44 < 55 < 81
Hope this help!!!
Have a nice day!!!
Solve x2 + 8x + 7 = 0 by completing the square. Which equation is used in the process?
Answer: x = -1, -7
Step-by-step explanation:
I used internet
Answer:
x = -1 or x = -7
Step-by-step explanation:
x^2 + 8x + 7 = 0
x^2 + 8x + ____ = -7 + ____
To complete the square, we add the square of half of the x-term coefficient to both sides.
x-term coefficient: 8
half of it: 4
square it: 4^2 = 16
We add 16 to both sides.
x^2 + 8x + 16 = -7 + 16
(x + 4)^2 = 9
x + 4 = +/- sqrt(9)
x + 4 = 3 or x + 4 = -3
x = -1 or x = -7
a bag with 3 red marbles,4 blue marbles and 5 yellow marbles.what is the probability you draw a blue marble?
Answer:
4/12
Step-by-step explanation:
add up all the marbles, and take how many blue marbels there are and put both numbers in fraction form
For Circle A, if the measure of BDC=20 and the measure of BDC=4x-12, then what is the value of X??
Answer my this question too plsss
The answer is in the link below I couldn't write it on Brainly bc my computer was being wack, but I hope I can help, I didn't only give the answer but there is a step by step so that should help you out a bit. Good Luck!!!!!!
need help asapppp!!! plz i will give brainliest to the person with the correct answer
Answer:
Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.
Step-by-step explanation:
Multiplying x by a number greater than 1 will stretch the parabola.
Changing x from positive to negative and vice versa reflects the parabola over the x-axis.
NEED HELP ASAP PLS
10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?
Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.