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The base of a triangular pyramid is 21 inches squared. The volume is 63 inches cubed. What is the height of the pyramid?
Answer:
9
Step-by-step explanation:
So the formula for a triangular pyramid is v=1/3bh
you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21
and then you check answers with
63=1/3(21)(9) which is true so the height is 9
(2x-5y)^2
Find the square using identity
Class 8
Answer:
=4x^2−20xy+25y^2
Step-by-step explanation:
(2x−5y)^2
=(2x+−5y)(2x+−5y)
=(2x)(2x)+(2x)(−5y)+(−5y)(2x)+(−5y)(−5y)
=4x^2−10xy−10xy+25y^2
=4x^2−20xy+25y^2
Hope it helped!
Answer:
(2x)^2- 2*(2x)*(5y)+(5y)^2= 4x^2-20xy+25y^2
Step-by-step explanation:
Identity- (a-b)^2= a^2-2ab+b^2
someone please help and explain. i need this rnnn.
Answer:
x=8
Step-by-step explanation:
63+90+2x+11=180
Answer:
B
Step-by-step explanation:
Add 63 and 90 to find the left angle. Then subtract by 180.
Since that answer is 27, add it to 90 and subtract by 180 to find the last angle in the middle. then finally the angle in the corner should equal 27 since the triangles are congruent.
find the surface area of the triangular prism
Answer:
608 ft²
Step-by-step explanation:
1) Find the area of the bases
[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height
Plug in b and h
[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]
Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
2) Find the area of the two sides facing up
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=10*16\\A=160[/tex]
Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
3) Find the area of the bottom side
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=12*16\\A=192[/tex]
Therefore, the area of this side is 192 ft².
4) Add all the areas together
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
Answer:
608
Step-by-step explanation:
first off you have to find the area of the base
the base is 16 by 12 feet.
so you multiply them and you get
16*12=192 you will have to come back later for this number
next, you find the two outsides of the triangular prism.
they are 10 by 16
10*16=160 and there are two of them so you double it and get 320
now save the 320 too with the 192
now we are going to find the triangles
the formula for an area of a triangle is A=1/2h*w
so we plug in the height which is 8 and the width which is 12
A=1/2(8)*(12)
Simplify
A=48 once again there are two of them so we double it to make it 96
now take all your saved numbers and add them all up
96+320+192
this should give you an answer of 608
hope this helps! have a nice day:)
Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the actual garden, the width of the garden is 36 inches. What is the width of the actual garden?
Answer:
720 inches
Step-by-step explanation:
On her blueprint, which is 1/20 the size of the actual garden
the width of the garden is 36 inches.
What is the width of the actual garden?
Let width of the actual garden = x
1/20 of x = 36
1/20 * x = 36
x = 36 ÷ 1/20
x = 36 * 20/1
x = 720
x = 720 inches
The width of the actual garden = 720 inches
Answer this question to get marked as brainliest!!!
Answer:
∠ R = 120°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 , that is
subtract 60 from 180
∠ R = 180° - 60° = 120°
Help!!
Find the volume. Around to the nearest Hundredth.
1326cm
1026.04mi
1526.82mi
6104.16mi
Answer:
V=1526.82 mi³
Step-by-step explanation:
The formula for the volume of a right circular cone is V=πr²(h/3).
The radius is half of the diameter of 18, so it is 9 mi.
The height is 18 mi.
Plug in your numbers into the formula.
V=π9²(18/3)
V=π81(6)
V=π486
V=1526.82 mi³
60
13cm
x cm
Find the value of x to the nearest tenth:
Answer:
4.6cm
Step-by-step explanation:
Help plz!
The Corresponding Angles Conjecture states that if two
parallel lines are cut by a transversal, the corresponding
angles are congruent. The picture below shows this
relationship
Answer:
B
Step-by-step explanation:
Corresponding angles form a sideways U when you connect the angles.
b is the only one that does that.
1 and 4 are consecutive angles.
1 and 3 are vertical angles
4 and 3 are linear pair angles.
what is the product of 3/7 and 3/8?
Answer:
9/56
Step-by-step explanation:
..................
x^2-4x+3=0 write it in standard form.
solve by completing the square.
solve by quadratic formula
Answer:
x
=
2
±
√
7
Explanation:
there are no whole numbers which multiply to - 3
and sum to - 4
we can solve using the method of
completing the square
the coefficient of the
x
2
term is 1
∙
add subtract
(
1
2
coefficient of the x-term
) 2 to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7
take the square root of both sides
⇒ x − 2 = ± √ 7 ←
note plus or minus
⇒ x = 2 ± √ 7←
exact solutions
Step-by-step explanation:
x²-4x+3=0
x²-4x=-3
take half of -4 square it and add it to both side
x²-4x+(-2)²=4-3
(x-2)²=1
x-2=±1
x=2±1
x=1,3
O Assignment 00:00 Mario builds a triangular table to fit in the corner of his rectangular bedroom. Is it possible to construct more than one table with angles that measure 45°.90, and 45°? Explain 00:00 No: All three angles of the triangle are given, so there is only one possible table. 00:00 No Those three angles do not make a triangle, so he cannot make any tables. 00:00 Yes, One table could have side lengths double another with the same angle measures 00:00 Yes One table could be a triangle and the a square with the same side lengths
Answer:
A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.
Step-by-step explanation:
The area of a rectangle is 48x®y7
square yards. If the length of the
rectangle is 6x2y4 yards, which
expression represents the width of the
rectangle in yards?
A. 42x4y3
B. 42x6y3
C. 8x4y3
D. 8x6y3
Answer:
D
Step-by-step explanation:
Remember, area equals width x height so you can set up this equation.
[tex]48x^8y^7=6x^2y^4 * w[/tex]
Solving for w,
[tex]\frac{48x^8y^7}{6x^2y^4} =w[/tex]
Simplifying,
[tex]8x^6y^3[/tex]
Thus, D is the answer
Find f(5) for f(x)=1/4 (2)^x
f(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8
answer
A. 8
A Y U D E N P O R F A :(
Answer:
x=2
Step-by-step explanation:
Primero, necesitamos calcular <<a>>
Sabemos que AD=BC y AB=CD porque lados opuestos congruentes
Entonces, vamos a calcular <<a>>.
Usamos AD y BC
2a-1=4a-15
suma 15 a ambos lados
2a+14=4
añada 2 en ambos lados
14=2a
divida
7=a
Ahora, usamos esta información para calcular <<x>>
Usamos CD=AB
2a-8=4x-2
pero sabemos que <<a>> es 7
entonces:
14-8=4x-2
6=4x-2
8=4x
2=x
<<x>> es 2
(¡lo siento mi español no es perfecto!
how 2 do?
(n)(n+7)(n+8)
Answer:
[tex]n^{3} + 15n^{2} + 56n[/tex]
Step-by-step explanation:
First FOIL (n + 7)(n + 8) and then distribute n
(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]
n ([tex]n^{2} +15n + 56[/tex])
= [tex]n^{3} + 15n^{2} + 56n[/tex]
The cost of the circular carpet, $C, varies as the square of the radius,
r metres. If C = 200 when r= 2
Find the cost of the circular carpet when r= 3
Answer:
$450
Step-by-step explanation:
C = k[tex]r^{2}[/tex]
200 = k([tex]2^{2}[/tex]) = 4k
k = 50
C = 50[tex]r^{2}[/tex] = 50([tex]3^{2}[/tex]) = 50(9) = $450
Val is going to plant b vegetable seeds in one garden and 5b + 2 vegetable seeds in another. How
many seeds is Val going to plant?
Val is going to plant seeds.
(Simplify your answer.)
Answer:
6b + 2
Step-by-step explanation:
If Val is planting b seeds in one and 5b + 2 in the other, the expression showing the total is: b + (5b + 2) or 6b + 2 seeds.
WHat is the answer to number 2
Answer:
My best guess C im pretty sure.
Gas from a local station costs $2.85 per gallon (in US dollars). Tara's car gets 13.4 kilometers to the liter.
About how much will it cost Tara to drive 640 kilometers if she buys the gas from that local gas station?
Answer:
$250.8
Step-by-step explanation:
13.4 = $2.85
13.4 x 15 = 111.0
111.0 = $42.75
111.0 x 6 = 666.0
666.0 - 26.0 = 640.0
$42.75 x 6 = $256.5
$2.85 x 2 = $5.07
$256.5 - $5.07 = $250.8
not gona lie this took forever lol
Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!
The total cost of 640 liters of gas is $35.91.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Gas from a local station costs $2.85 per gallon (in US dollars).
We know that, 1 gallon = 3.785 liters
Tara's car gets 13.4 kilometers to the liter.
Number of liters of gas = 640/13.4
= 47.76 liters
Number of gallons = 47.76/3.785
= 12.6 gallons
Total cost = 12.6×2.85
= $35.91
Therefore, the total cost of 640 liters of gas is $35.91.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
What is the value of the expression 20 ÷ 4 + (6 x 2) − 2?
15
17
22
28
A scientist has a sample of bacteria that initially contains 10 million microbes. They observe the sample and finds that the number of bacterial microbes doubles every 20 minutes. Which exponential function represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed?
Answer:
M(t) = 6.7 * 10⁷ (67 million)
Minutes (t) =55
Step-by-step explanation:
1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.
For answering this question, we will use the following formula:
M(t) = B₀ * g ^(t/m), where:
•M(t) represents the total number of bacterial microbes in millions.
• B₀ represents the initial population of bacteria in millions.
• g represents the growth factor.
• t represents the total number of minutes we will observe the bacteria growing.
• m represents the time in minutes it takes to the growth factor g to occur.
2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.
M(t) = B₀ * g ^(t/m)
Replacing with the values we know:
6.7 * 10⁷ = 10⁷ * 2 ^(t/20)
6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)
ln 6.7 = ln 2 ^(t/20)
ln 6.7 = t/20 ln 2
ln 6.7/ ln 2 = t/20
t = ln 6.7/ln 2 * 20
t = 2.74 * 20
t = 54.88
t ≅ 55 (rounding to the nearest minute)
If a =3, b = 2 and c = 5, solve the following algebraic expressions: (3 marks)
a) 3c + 5 - b
b) b(4 - 2) + c
c) 4a - (2c)
Answer:
A) 18
B)9
C)-2
Step-by-step explanation:
Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.
The points (-1,r) and (11, -1) lie on a line with slope 3/4
Find the missing coordinate r.
Answer:
The value of the missing coordinate 'r' is -10
Step-by-step explanation:
The two points have the following given parameters;
The point coordinates = (4, -17) and (8, r)
The line on which the two points rests has a slope of, m = 3/4
To find the value of 'r', we use the slope formula as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plugging in the values gives;
[tex]m = \dfrac{3}{4} = \dfrac{-1-r}{11-(-1)} =\dfrac{-1-r}{11 + 1} = \dfrac{-1 - r}{12}[/tex]
[tex]\dfrac{3}{4} =\dfrac{-1 - r}{12}[/tex]
∴ 3 × 12 = 4 × (-1 - r)
36 = -4 - 4·r
36 + 4 = -4·r
r = 40/(-4) = -10
r = -10
find the average rate of change, in simplest form, of the function over the interval 4\le x \le 74≤x≤7.
Answer:
[tex]Average\ Rate = \frac{104}{3}[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the average rate of change over: 4≤x≤7.
Average rate of change is calculated as:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a=4[/tex]
[tex]b = 7[/tex]
So:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(4)}{7 - 4}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]
From that table:
f(4) =
f(7) =
So:
[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]
[tex]Average\ Rate = \frac{108-4}{3}[/tex]
[tex]Average\ Rate = \frac{104}{3}[/tex]
Elia rode her bicycle from her house to the beach at a constant speed of 18 1818 kilometers per hour, and then rode from the beach to the park at a constant speed of 15 1515 kilometers per hour. The total duration of the rides was 1 11 hour and the distances she rode in each direction are equal. Let b bb be the number of hours it took Elia to ride from her house to the beach, and p pp the number of hours it took her to ride from the beach to the park.
Answer: hello your question is not well written but it seems you are asking for the Total distance covered during the rides hence i will give you a general solution
Total distance travelled during rides = 16.36 km
Total duration of rides = 1 hour
Step-by-step explanation:
Given that :
b = number of hours from house to beach
p = number of hours from beach to park
since the total duration of the rides = 1 hour
hence: b + p = 1 ------ ( 1 )
Also ; speed from house to beach = 18 km/hr
speed from beach to park = 15 km/hr
Given that distance covered in both directions are equal and distance = s * t
Hence distance covered : 18b = 15p ------ ( 2 )
determine the total distance travelled
b + p = 1 ------ ( 1 )
18b = 15 p ----- ( 2 )
from equation 1 : b = 1 - p
18 ( 1 - p ) = 15p
18 = 15p + 18p
p = 18 / 33 = 6/11
back to equation 1
b + 6/11 = 1
hence b = 1 - 6/11 = 5/11
Distance covered in one direction
18 ( 5/11 ) = 15 ( 6/11 )
90 / 11 = 90 /11
hence Total distance covered = ( 90 / 11 ) * 2 = 16.36 km
Wich graph matches the equition x=5
Answer:
option 1
Step-by-step explanation:
do i need to?
someone plzz help me i don't know if its right I'm lost out of time
Answer:
12. 30
13. 3
Step-by-step explanation:
GEOMETRYY . I WILL GIVE BRAINLIEST
Answer:
The x=2 is the correct option.
Step-by-step explanation:
when we have 4x which means 4*x +4 so the side seems small when we multipy and add we get the smaller number as.. 12 but, other number take so big...
The nth term of a sequence is n + 5
Work out the 5th term of the sequence.
5th term =
Answer:
10
Step-by-step explanation:
Tₙ=n+5
T₅=5+5=10