Please help me find the surface area of this right prism. ASAP please. Thank you ~
Answers
Answer:
[tex]\large\boxed{V=\dfrac{75\sqrt3}{2}\approx64.95}\\\boxed{S.A.=\dfrac{160+25\sqrt3}{2}}[/tex]
Step-by-step explanation:
The formula of a volume of a prism:
[tex]V=BH[/tex]
B - base area
H - height
In the base we have the equilateral triangle. The formula of an area of an equilateral triangle with side a:
[tex]A=\dfrac{a^2\sqrt3}{4}[/tex]
Substitute a = 5:
[tex]B=\dfrac{5^2\sqrt3}{4}=\dfrac{25\sqrt3}{4}[/tex]
H = 6.
Calculate the volume:
[tex]V=\left(\dfrac{25\sqrt3}{4}\right)(6)=\dfrac{75\sqrt3}{2}[/tex]
The formula of a Surface Area:
[tex]S.A.=2B+PH[/tex]
B - base area
P - perimeter of a base
H - height
Calculate P: [tex]P=5+5+5=15[/tex]
Substitute:
[tex]S.A.=2\left(\dfrac{25\sqrt3}{4}\right)+(15)(6)=\dfrac{25\sqrt3}{2}+80=\dfrac{160+25\sqrt3}{2}[/tex]
Related Questions
What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, -3)?
Answers
Answer:
Step-by-step explanation:
There is no given equation, so it is impossible to figure this out. I apologize.
Answer: I was told the third option
Step-by-step explanation:
each exterior angle of a regular polygon measures 45 degrees. how many sides does the polygon have
Answers
Answer:
8
Step-by-step explanation:
to find the number of sides when you are given an exterior angle you divide 360 (because that's what all exterior angles equal) by the one exterior angle you were given. in this case 360/45=8
Answer:
8 sides
Step-by-step explanation:
because you use the formula for exterior angles; [tex]\frac{360}{n}[/tex], you plug in the number of sides in the denominator and then divide 360 by n
Darwin bought 5 boxes of corned beef.a box contains one and a half dozen cans of corned beef.if he sold all the corned beef at 45.00 pesos each, how much did he earn....please answer with solution of AGONSA
Answers
The answer is:
Darwin earned 4050 pesos
Why?To solve the problem, first, we need to calculate the total quantity of corned beef, and then, calculate the total earning amount.
We have a box of corned beef one and half dozen cans, or 1.5 zones.
So, calculating we have:
[tex]TotalBeef=Dozen*1.5=12*1.5=18[/tex]
We have that there are 18 cans of corned beef per box, now, if he sold all the 5 boxes of corned in 45.00 pesos each, we have:
[tex]TotalEarning=Cans*45.00(pesos)=18*5*45.00pesos=4050(pesos)[/tex]
Hence, we have that Darwin earned 4050 pesos.
Have a nice day!
Use the discriminant to describe the roots of each equation. Then select the best description.
7x2 + 3 = 8x
double root
real and rational root
real and irrational root
imaginary root
Answers
Answer:
imaginary root
Step-by-step explanation:
7x^2 + 3 = 8x
Subtract 8x from each side
7x^2 -8x+ 3 = 8x-8x
7x^2 -8x+3 =0
This is in the form ax^2 +bx+c
The discriminant is b^2 -4ac
a=7 b=-8 c=3
b^2-4ac = (-8)^2 -4(7)(3) = 64 - 84 = -20
Since this is negative, we have imaginary roots
Can someone please help me out with this question??
Answers
Answer:
Step-by-step explanation:
1176 - 168 =1008 1176 + 1008= 2134
hours:2134 = 3 weeks
hours: 1176 = 2 weeks
What is C’ T’ if there was a rotation ?
Answers
Answer: The Answer Is 4) Hope it Helps!
Step-by-step explanation:
Which is the approximate difference in the tenths between?
Answers
Answer:
0.4
Step-by-step explanation:
0.2 is too small, and everything above 1.0 is too big, so by default, must be 0.4
Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference.
Answers
Final answer:
Lorne subtracted the polynomial 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7 by changing the signs of the second polynomial and combining like terms, resulting in the difference − 9x³ + 5x² + 6x − 10.
Explanation:
To find the difference between two polynomials, we subtract the corresponding terms of the second polynomial from the corresponding terms of the first. In the given problem, Lorne subtracted 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7. To do this, we change the signs of the polynomial being subtracted and then combine like terms.
First, we write the problem with the second polynomial's signs changed: − 3x³ + 5x² + 4x − 7 - (6x³ − 2x + 3).
Next, we distribute the negative sign: − 3x³ + 5x² + 4x − 7 - 6x³ + 2x - 3.
Finally, we combine like terms: (− 3x³ − 6x³) + (5x²) + (4x + 2x) + (− 7 − 3).
The resulting difference is − 9x³ + 5x² + 6x − 10.
The slope of the line below is 4. Which of the following is the point-slope form
of the line?
(-3,-4)
A. y+ 4 = 4(x+3)
B. Y-4 =-4(x-3)
C. y-4= 4(x-3)
D. Y+4 = -4(X+3)
Answers
Answer:
A: y+4=4(x+3)
Step-by-step explanation:
Point-Slope Formula:
y-y1=m(x-x1)
Substitute:
y-(-4)=4(x-(-3))
-(-)=+
P: y+4=4(x+3)
Y+4 = 4(x+3)
The answer is A
Hope this helps!
You are helping with some repairs at home. You drop a hammer and it hits the
floor at a speed of 8 feet per second. If the acceleration due to gravity (g) is
32 feet/second, how far above the ground (h) was the hammer when you
dropped it? Use the formula:
V = 2gh
Answers
Answer:
1 foot.
Step-by-step explanation
That is not the correct formula. Correct is V^2 = 2gh where h = the height
so the equation is:
8^2 = 2*32* h
h = 64/ 64 = 1 foot.
Answer:
[tex]h=\frac{1}{8} feet[/tex]
Step-by-step explanation:
In order to be able to solve this problem you just have to clear the formula for height:
V=2gh
[tex]\frac{V}{2g}=H[/tex]
[tex]\frac{8}{64}=H[/tex]
[tex]\frac{1}{8}=H[/tex]
So the height from which the hammer is dropped is 1/8 feet.
A hiking trail is 6 miles long. It has 4
exercise stations, spaced evenly along the
trail. What is the distance between each
exercise station?
Answers
Answer:
8800 ft apart
Step-by-step explanation:
1). Convert miles to feet. 6 2/3 x 5280 = 35200
2). Divide by 4. 35200/4 = 8800
In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2. If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle? (h + x)2 + (k + y)2 = r2 (x – h)2 + (y – k)2 = r2 (k + x)2 + (h + y)2 = r2 (x – k)2 + (y – h)2 = r2
Answers
Answer:
(x – h)2 + (y – k)2 = r2
Step-by-step explanation:
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle the equation of the new circle
(x – h)2 + (y – k)2 = r2
Based on Pythagorean theorem, and the location of the center of the
circle, (h, k), the equation of the circle is represented by the option;
(x - h)² + (y - k)² = r²How can the equation of the circle be found?
The general form of the equation of the circle is (x - h)² + (y - k)² = r²
Where;
(h, k) = The center of the circle
r = The radius of the circle
A description of the equation of the circle is as follows;
With regard to a location on the edge (circumference), of the circle, (x, y),
where, the center of the circle is (h, k), by Pythagorean the sum of the
square of the length of the horizontal side, (x - h), and the square of the
vertical side (y - k), of the right triangle formed gives the square of the
radius of the circle.
Therefore, the equation of the new circle can be represented by the equation;
(x - h)² + (y - k)² = r²The above equation is the general form of the equation of a circle.
Learn more about the equation of a circle here:
https://brainly.com/question/20863621
Find p(2)
Find p(2 or fewer)
Answers
Answer:
P(2)=0.021942 approximately
P(2 or fewer)=0.02711 approximately
Step-by-step explanation:
[tex] P(x)=(n choose x) *p^x * q^{n-x} [/tex]
x is the number of successes desired
p is probability of getting a success per trial
n is the number of trials
q is 1-p
So n=15 and p=.4 here
And you want to know P(2) which means x is 2
Plug in this information
[tex] P(2)=(15 \text{ choose } 2) *.4^2 * .6^{15-2} [/tex]
Just plug into calculator... P(2)=0.021942 approximately
For p(2 or fewer) you just do P(0)+P(1)+P(2)
I already found P(2)
You need to find P(1)
Once you get P(1), add that result to 0.021942.
Try to do part b and I will tell you if you got it right or not.
So P(2 or less) is P(0)+P(1)+P(2)
So to complete this we need to find P(1) and almost forgot P(0)...
We already have P(2).
P(0)=(15 choose 0) *.4^0*.6^(15-0)=0.00047
P(1)=(15 choose 1) *.4^1 *.6^(15-1)=.004702
Now P(2)=0.021942
--------------------------add these
0.027114 approximately
Solve for q; 6n-5q/11t = c
Answers
Answer:
[tex]\large\boxed{q=\dfrac{6n-11ct}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{6n-5q}{11t}=c\qquad\text{multiply both sides by}\ 11t\neq0\\\\6n-5q=11ct\qquad\text{subtract}\ 6n\ \text{from both sides}\\\\-5q=11ct-6n\qquad\text{change the signs}\\\\5q=6n-11ct\qquad\text{divide both sides by 5}\\\\q=\dfrac{6n-11ct}{5}[/tex]
5,5,5,7,7 mean median mode range
Answers
[tex]\text{Hey there!}[/tex]
[tex]\text{The mean is when you add up ALL your numbers then divide by the number}[/tex] [tex]\text{of numbers in the equation}[/tex]
[tex]\text{5+5+5+7+7=15+14=29}[/tex]
[tex]\text{We have 5 terms in this equation so divided 29 from 5}[/tex]
[tex]\bf{29\div5=5.8}[/tex]
[tex]\boxed{\text{Mean: 5.8}}\checkmark[/tex]
[tex]\text{Median is the middle number of the set of numbers}[/tex]
[tex]\boxed{\text{Median: 5}}\checkmark[/tex]
[tex]\text{Mode is when you see a number MORE THAN ONCE}[/tex]
[tex]\text{You see 5 three times but the 7 twice, so this will make it tricky to answer}[/tex]
[tex]\text{Since, you see 5 three times.. it could be your mode}[/tex]
[tex]\boxed{\text{Mode: 5}}\checkmark[/tex]
[tex]\text{Range is when subtract the HIGHEST NUMBER from the LOWEST NUMBER}[/tex]
[tex]\text{7-5=2}[/tex]
[tex]\boxed{\text{Range: 2}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
30% of what equals 60
Answers
x/60 = 30/100
x = 200
CHECK ANSWER: 200 x .30 = 60
Answer:
30% of 200 equals 60.
Step-by-step explanation:
There is a formula we use to this specific type of problem. It's called the rule of 3.
30% - 60
100% - x
(60 * 100) / 30 =
6000 / 30 =
200
Step-by-step proof:
To prove our answer, what me must do is use another formula:
(200 * 30) / 100 = 60
6000 / 100 = 60
60 = 60
↑ Both numbers are equal (equation is true), therefore, our solution is correct.
Hope it helped,
BiologiaMagister
Question 10
Jur's car can travel 340 miles on 12 gallons. Jack's car can travel 390 miles on
16 gallons. Which person has the best mileage (miles per gallon) and what is
their mileage?
Answers
Answer:
Jur's car
Step-by-step explanation:
Jur's car's mileage= 340/12=28.3333333333
Jack's car's mileage=390/16=24.375
brainliest if you are satisfied plz
Answer:
Jur 28 1/3 miles per gallon
Step-by-step explanation:
To find the miles per gallon, take the miles driven and divide by the gallons used.
Jur: 340/12 =28.333333 miles per gallon
Jack : 390/16 = 24.375 miles per gallon
Jur has better gas mileage because his number is higher
If you wanted to make the graph of y = 7x- 14 steeper, as well as shift the y
intercept of this line up, which equation could you use?
A. y= 5x - 18
B. y = 9x - 10
C. y= 5x – 10
D. y= 9x - 18
Answers
Answer:
Option B: y = 9x - 10.
Step-by-step explanation:
General equation of a straight line in the 2-D plane is given by:
y = mx + c; where m is the slope and c is the y-intercept.
The given equation of the line is y = 7x - 14; where m=7 and c=-14.
To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.
To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
–7
–1
1
7
Answers
Answer:
-1Step-by-step explanation:
[tex]f(1)=-4\\\\f(n+1)=f(n)+3-\text{the next term is 3 bigger than the previous one}\\\\f(2)=-4+3=-1[/tex]
If f(x) = 3х -2 and g(x) = 2х+4 , find (f - g)(x).
ОА. Эх? - 2х - в
ов. 2x – 3х -2
Ос. х2 +2
OD. зх. -2x+2
Answers
Answer:
(f - g)(x) = x - 6Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
We have f(x) =3x - 2 and g(x) = 2x + 4. Substitute:
(f - g)(x) = (3x - 2) - (2x + 4)
(f - g)(x) = 3x - 2 - 2x - 4 combine like terms
(f - g)(x) = (3x - 2x) + (-2 -4)
(f - g)(x) = x - 6
I have this question in Geometry that I need help with, can you help me solve it?
Find the coordinates of the midpoint of a segment having the given endpoints.
Q(1, -3), R(11, 5)
Answers
Answer(6,1)
Step-by-step explanation:
you need to use the midpoint formula
Please help I need it
Answers
Answer:
Yes. It's a right triangle.Step-by-step explanation:
If a ≤ b < c are the length of the sides of a right triangle, then
a² + b² = c².
We have:
a =30 ft, b = 40 ft and c = 50 ft.
Check the equality:
L = 30² + 40² = 900 + 1600 = 2500
R = 50² = 2500
L = R
What is a correct first step in solving the inequality-4(3-5x)>-6x+9
Answers
Answer:
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
Step-by-step explanation:
-4(3-5x)>-6x+9
We need to solve the above inequality
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
(-4*3) (-4*-5x) >-6x+9
-12 +20x >-6x+9
-12 + 20x >-6x+9
The next step will be to add +12 on both sides
-12 + 20x +12 >-6x+9+12
20x >-6x+21
The next step will be to add +6x on both sides
20x +6x > -6x+21 +6x
26x > 21
x > 21/26
Find the zeros of the function.
f(x) = 9x^2 + 6x - 8
Answers
Answer:
[tex]\large\boxed{-\dfrac{4}{3}\ and\ \dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]f(x)=9x^2+6x-8\\\\\text{The zeros:}\\\\9x^2+6x-8=0\\\\9x^2+12x-6x-8=0\\\\3x(3x+4)-2(3x+4)=0\\\\(3x+4)(3x-2)=0\iff3x+4=0\ \vee\ 3x-2=0\\\\3x+4=0\qquad\text{subtract 4 from both sides}\\3x=-4\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{4}{3}}\\\\3x-2=0\qquad\text{add 2 to both sides}\\3x=2\qquad\text{divide both sides by 3}\\\boxed{x=\dfrac{2}{3}}[/tex]
The sum of two numbers is 21.
The second number is six times the first number.
Work out the two numbers.
Answers
Answer:
Pretend that x and y represents the 2 numbers that we need to find.
According to the information, we know that:
x + y = 21
6x = y
Replace y in the first equation with 6x (because they are equal to each other according to the second equation):
x + y = 21
x + 6x = 21
7x = 21
x = 21/7 = 3
Now have two ways to find y, both will give us the same result:
3 + y = 21 ⇔ y = 21 - 3 = 18
6 · 3 = y ⇔ y = 18
So the numbers that we need to find are 3 and 18.
Answer:
3 and 18.
Step-by-step explanation:
If one number is x then the other is 6x.
So, x + 6x = 21
7x = 21
x = 3.
The other number is 21 - 3 = 18.
Factor the following expression.
27y3 – 343
a. (3y + 7)(9y2 + 2ly + 49)
b. (3y – 7)(9y2 + 2ly + 49)
c. (3y – 7)(932 – 217 + 49)
D. (3y + 7)(92 – 2ly + 49)
Answers
Answer:
b
Step-by-step explanation:
use formula of a^3-b^3
Answer:
D
Step-by-step explanation:
(3y - 7) (9y^2 + 21y + 49)
let me know if it's right
#platolivesmatter
A rectangle has a perimeter of 24 inches. If the width is 5 more than twice the length,
what are the dimensions of the rectangle?
Answers
Answer:
Step-by-step explanation:width is 11 length is 13
What is the length of each leg of the triangle?
Answers
Answer:
the answer you selected is correct
Step-by-step explanation:
this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two
Can someone please help me wit this
Answers
The eagle is flying at a lower elevation (15 meters) than the gyrfalcon (23 meters)
Factor the polynomial.
3x^4 +6x^3 + 9x^2
Answers
Answer:
3 x^2 (x^2 + 2 x + 3)
Step-by-step explanation:
Factor the following:
3 x^4 + 6 x^3 + 9 x^2
Hint: | Factor common terms out of 3 x^4 + 6 x^3 + 9 x^2.
Factor 3 x^2 out of 3 x^4 + 6 x^3 + 9 x^2:
Answer: 3 x^2 (x^2 + 2 x + 3)