An equation which should be used to calculate the volume of the geometric figure (see attachment) is: A. V = 1/3(6)4)(8).
How to calculate the volume of a pyramid?Based on the geometric figure shown, we can logically deduce that it is a pyramid. Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.b is the base area.Substituting the parameters into the formula, we have:
Volume = 1/3 × 6 × 4 × 8
Volume = 1/3(6)4)(8).
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Using the image below to answer the question. Using the segment addition postulate find the value of X
The value of x is 13. Therefore, option B is the correct answer.
Given that, EF=7x+9, FG=3x+4 and EG=143.
What is a line segment?A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.
Now, EG=EF+FG
⇒143=7x+9+3x+4
⇒10x+13=143
⇒10x=130
⇒x=13
The value of x is 13. Therefore, option B is the correct answer.
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Find the 14th term of the geometric sequence 1 , − 5 , 25 , . . .
Answer:
-1220703125
Explanation:
The 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence is:
1 , − 5 , 25 , . . .
The above sequence represents a geometric sequence.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,
approaching either infinity or -infinity.
The common ratio = -5/1 = -5
The nth term a(n) = arⁿ⁻¹
The first term a = 1
The nth term a(n) = (5)ⁿ⁻¹
Plug n = 14
The 14th term a(14) = (-5)¹⁵⁻¹
The 14th term a(14) = (5)¹⁴
Thus, the 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.
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Find the 66th term in the following
arithmetic sequence :
--92, -85, -78, -71, ...
Answer:
363
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus
[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363
Answer:
363.
Step-by-step explanation:
We see that each term increases by 7.
This is an arithmetic sequence with first term (a1) = -92 and the common difference (d) is 7.
an = a1 + (n - 1)d
a66 = -92 + (66 - 1)7
= -92 + 455
= 363.
If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123
Answer:
$174.05
Step-by-step explanation:
To find the value of the investment at a later date:
[tex]x * multiplier^n = y[/tex]
Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.
Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.
To convert this into a multiplier, you simply divide by 100:
118 ÷ 100 = 1.18
The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].
Finally, we substitute our values into the equation:
[tex]125 * 1.18^2 =174.05[/tex]
This means our final answer is $174.05.
simplify the expression
Answer:
4k(2k² - 5k - 4) + 5(2k² - 5k - 4)
8k³ - 20k² - 16k + 10k² -25k - 20
8k³ - 10k² - 41k - 20
Thus its G
So the right answer is of option G.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
A demand ___ is a graphic representation of the law of demand
a. schedule
b. curve
c. projection
d. model
Answer:
I think it is b. Curve
Step-by-step explanation:
( Quick Response) Which expressions are equivalent?
Answer:
A, 3x-7y=-7y+3x
Step-by-step explanation:
Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answer:
"yes" the triangles are similar
the scale factor going from triangle PQR to triangle ZYK is "2"
Step-by-step explanation:
i just did it :3 good luck!
Answer:
"yes" and "2"
Two sides is a triangle have the following measures. Find the range of possible measures for third side.
Answer:
last one
Step-by-step explanation:
the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe
6 < x < 64
Therefore, option b) is correct.
Step-by-step explanation:
Given :
Two sides of the triangle -- 35 , 29
Solution :
Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.
Then ,
y - z < x < y + z
35 - 29 < x < 35 + 29
6 < x < 64
Therefore, option b) is correct.
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Find the distance between P and Q.
Answer: 10
Step-by-step explanation:
The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
How many feet of fencing will Miguel need to buy to enclose the garden on all four sides?
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet
one batch of walnut muffins use 1 1/3 cups of walnut how many cups of walnut are needed to make 3 3/4 batches of muffins
Answer:
multiply 1 1/3 to 3 3/4
Step-by-step explanation:
Answer:
3 2/3
Step-by-step explanation:
If you make the one batch of walnut muffins into a mixed number you get 3 2/3 so that would be how much you would need for the 3 3/4 batches of muffins
does anyone understand the Pythagorean Theorem
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2 + b^2 = c^2
a = side of right triangle
b = side of right triangle
c = hypotenuse
*can only be used for a RIGHT triangle*
( hope i was able to help)
Please help as quick as you can! Question is below! Brainliest!
Answer:
Cylinder = [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Rectangle = l*w*h
Cone = 1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Pyramid = 1/3 b*h
Step-by-step explanation:
A volcano Irruption blasts a boulder upward with an initial velocity of 240 ft./s This modeled by the equation h(t)=-16t^2+240t. How heigh will the boulder be after 5 seconds?
Answer:
1600 ft
Step-by-step explanation:
I need help with this ASAP!!!
Answer:
sqrt d = 10
d = (10)^2
d = 100
Part b
x^2 = 144
x = 12 or -12
Step-by-step explanation:
HELP QUICK!! 25 POINTS AND BRAINLIEST!!! In circle V, r = 18 in.
What is the area of circle V?
a. 64
b. 36
c. 72
d. 324
can someone please help me, 20 points!!!
Answer:
9.4 = x
Step-by-step explanation:
You are given the hypotenuse and the adjacent side, leading you to use cosine.
Set it up:
[tex]cos48 = \frac{x}{14}[/tex]
Multiply everything by 14, to remove it from the denominator:
[tex]14(cos48 = \frac{x}{14})[/tex]
[tex]14cos48=x[/tex]
Multiply accordingly:
9.36 = x
Round to nearest tenth:
9.4 = x
help me please ( i’ll give 20 points for this )
Answer:
108
Step-by-step explanation:
add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)
Answer:
64°
Step-by-step explanation:
See the angle is smaller than 108° and it is not 90° so the answer is 64°
Find the area. Will mark brainliest.
Answer:
54 in^2
Step-by-step explanation:
9*12/2=54 in^2
Answer:
54
Step-by-step explanation:
The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.
hope this helps:)
An equation has solutions of m= -5 and m = 9. Which could be the equation?
(m + 5)(m - 9) = 0
(m-5)(m + 9) = 0
m2 - 5m + 9 = 0
Om2 + 5m - 9= 0
Answer:
[tex](m+5)(m-9)=0[/tex]
Step-by-step explanation:
you set each of them equal to zero,
[tex]m+5=0[/tex]
[tex]m-9=0[/tex]
and solve for 'm'
Answer: Option A
(A) (m +5 )( m-9 ) = 0
Step-by-step explanation:
Please Help!!! Explain how to solve!!! Extra points and brainiest will be given
Answer:
2,493.796 => 2493.8
Step-by-step explanation:
Answer:
2,492.5 mm^2
Step-by-step explanation:
The formula to find the Surface area is 2 pi r^2 + 2 pi r x h
So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3
2 pi 216.09 + 2 pi 180.81
2 x 678.5226 + 2 x 567.7434
1,357.0452 + 1,135.4868
2,492.532
The surface area of this cylinder is 2,492.5 mm^2
How many peaks does this graph have? Algebra 1
Answer:
One. see it for the ages of 50-59.
Can someone help and explain A and B please...
What’s this answer Im tried everything
Answer:
the answer is B, you can try graphing them if u need to verify it
Which two consecutive integers does −[tex]\sqrt{155}[/tex] lie between?
A) 11 and 12
B) 12 and 13
C) −11 and −12
D) −12 and −13
A rectangular, above-ground swimming
pool is 18 feet long, 9 feet wide, and 54
inches deep. One cubic foot of water weighs
about 62.4 pounds. What is the total weight
of the water in the pool when it is
completely full?
A. 158 lbs
B. 729 lbs
C. 8.748 lbs
D. 45,489.6 lbs
The rule T5, -0.5 oR 0, 180(x,y) is applied to triangle FGH to produce triangle F’G’H’. What are the coordinates of vertex F’ of triangle F’G’H’?
Answer:
Step-by-step explanation:
Rule for the transformations has been given as,
[tex]T_{(5, -0.05)o\text{R}(0, 180)}(x,y)[/tex] defines the rules as the translation by 5 units right and 0.5 units down followed by rotation of the triangle by 180° about the origin.
In other words,
Rule for translation:
F(x, y) → F"(x + 5, y - 0.5)
Followed by the rotation of 180° about the origin,
Rule of rotation,
F"(x', y') → F'(-x, -y)
Following these rules coordinates of the new triangle F'G'H' can be obtained.
Solve for b.
b + 0.6 = -1
What is the answer ?
A. b = -1.6
B. b = -0.4
C. b = 0.4
D. b = 1.6
Place the indicated product in the proper location on the grid.
(ab - 9)(ab + 8)
Answer:
(2b)
Step-by-step explanation: