Answer:
A. 864 units²
Step-by-step explanation:
(16×16)+(4×½×16×19)
= 256 + 608
= 864
The surface area of the regular pyramid is S = 864 units²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be S
Now , let the base area of the pyramid be B
where the side length of the pyramid is a = 16 units
So , B = 16² units² = 256 units²
And , let the height of the pyramid be h = 19 units
And , the perimeter of the pyramid P = 4 x 16 = 64 units
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
On simplifying , we get
S = 256 + ( 1/2 ) ( 64 x 19 )
S = 256 + 608
S = 864 units²
Hence , the surface area is 864 units²
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given an = -4 + (n - 1)7. what is arithmetic sequence
Answer:
Step-by-step explanation:
The given an = -4 + (n - 1)7 is already an arithmetic sequence with first term -4 and common difference 7. A more proper form would be an = -4 + 7(n - 1).
The first five terms of this sequence are {-4, 3, 10, 17, 24}
A certain type of bacteria is growing at an exponential rate that is modeled by the equation y=aekt, where t represents the number of hours. There are 100 bacteria initially, and 500 bacteria five hours later.
Answer:
meow meow
Step-by-step explanation:
help help help help help help help
Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
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if a person gives you their card number and they say you can spend a certain amount of money and u spend more is it considered stealing? or is it not because they gave u their card willingly and all u did was go over the limit.
Answer:
It would be considered stealing.
Step-by-step explanation:
They did willingly give you their card BUT, they trusted you to only spend a certain amount and not go over that certain limit. You went over the limit even though they specifically told you not to go over it so yes, it would be classified as stealing.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=58
Step-by-step explanation:
Answer:
x=26 degree
Step-by-step explanation:
x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)
x+154=180
x=180-154
x=26 degree
therefore the value of x is 26 degree.
need help with this Q&A 4
Answer:
y=4x + 3/4
Step-by-step explanation:
Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7
Answer:
The Coordinates are (3, 1)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
Let y = x - 2 be Equation 1
Let y = -2x + 7 be Equation 2
We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.
The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.
For this I'll use equation 1 first,
y = x - 2
1 = 3 - 2
So yes, the coordinates (3, 1) satisfy Equation 1
Lets check equation 2 now,
y = -2x + 7
1 = -2*3 + 7
1 = -6 + 7
This is also another equation where the coordinates (3, 1) satisfy equation 2
So this means that the coordinates (3, 1) are viable for both equations
Hope this helps!
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be written?
Answer:
Total number of orders = 77,520
Step-by-step explanation:
Given:
Number of students on team = 20
Number of students on the starting line =9
Find:
Total number of orders
Computation:
Total number of orders = 20! / [20 - 7]!(7!)
Total number of orders = 20! / [13]!(7!)
Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]
Total number of orders = 77,520
The number of different ways that the list can be written will be 167,960.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.
The number of different ways that the list can be written will be
²⁰C₉ = 20! / [(20 - 9)! x 9!]
²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
²⁰C₉ = 167,960
The number of different ways that the list can be written will be 167,960.
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Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 134
Step-by-step explanation:
Exterior angle = sum of opposite interior angles
= 90 + 44 = 134
OR
Sum of angles of triangle = 180
that is,
90 + 44 +y = 180
y = 180 - 134
y = 46
x + y = 180 [ straight line angles ]
x + 46 = 180
x = 180 - 46 = 134
Answer:
x = 134
Step-by-step explanation:
triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.
a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134
Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?
(A) 162
(B) 130
(C) 81
(D) 34
(E) 17
Answer:
17
Step-by-step explanation:
t^2 + m^2 = 64
(t+m)^2 = 98
(t+m)^2 = t^2 +2tm+ m^2
==>
t^2 +2tm+ m^2 = 98
t^2+m^2+2tm=98
64+ 2tm=98
2tm = 98 -64
2tm=34
tm= 34/2
tm = 17
1025 + 503 – 1412 – 7
PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(
A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Step-by-step explanation:
B3)
z + 127 = 180 {linear pair}
z = 180 - 127
z = 53
y= 55 {Corresponding angles}
w + z + y = 180 {angle sum property of triangle}
w + 53 + 55 = 180
w + 108 = 180
w = 180 -108
w = 72
x = w {Vertiaclly opposite angles}
x = 72
B4) q + 101 = 180 {Linear pair}
q = 180 -101
q = 79
p = 142 {Corresponding angles}
p + s = 180 {linear pair}
142 + s = 180
s = 180 - 142
s = 38
s +q +r = 180 {angle sum property of triangle}
38 + 79 + r = 180
117 + r = 180
r = 180 - 117
r = 63
y + 63 = 180 {linear pair}
y = 180 - 63
y = 117
x = q = {corresponding angles}
x = 79
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
17m-7
Step-by-step explanation:
product means multiplication so we multiply 17 times m.
17m
and 7 less than 17m is subtraction
17m-7
Answer:
17m-7
Step-by-step explanation:
m = The height
7 less than the product ( Multiply) 17 and m.
so 17m-7
given that cot(θ)= -√5/3 and cos(θ) < 0, find sin(θ)
D. 3√14 /14
Step-by-step explanation:
given that cot(θ)= -√5/3 and cos(θ) < 0
cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.
cot(θ)= -√5/3 => x = -√5 , y = 3
h = √(-3)²+5 =√14
so, sin(θ) = y/h = 3/√14 = 3√14 /14
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find the volume???
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
Graph inequality y< -3/2x -6
Answer:
Hope this helps...have a nice day/night!!Answer:
Step-by-step explanation:
You graph it
Suppose $p$ and $q$ are inversely proportional. If $p=28$ when $q=7$, find the value of $p$ when $q=49$.
Answer:$p$ =$4 when $q=49$.
Step-by-step explanation:
If $p$ and $q$ are inversely proportional, then mathematically, they are represented as
$p$ ∝ 1/$q$
So that introducing the constant of proportionality,k becomes
$p$ =k 1/$q$
$p$ =k /$q$
When $p=28$ when $q=7$,K becomes
$p$ =k /$q$
$28=K/ $7
k=$28 x $7 =$196
Now when $q=49$., $p$ becomes?
$p$ =k /$q$
$p$ =$196/49$
$p$ =$4
please help am stuck on this
write the set of positive even numbers that Is less than 15 using both the notations
Answer:
Let the set be X.
X = {x ∈ N : 2x < 15}
X = {2, 4 , 6 , 8 , 10, 12 , 14}
franklin races bikes. in his city there are 4 lengths of race tracks. The chart shows the race tracks and each tracks length in miles
A. 1/4
B. 3/2
C. 1 3/4
D. 4/4
Franklin races 3 laps in the same lane. the total distance he raced is more than 4 1/2miles
which track does franklin race on?
Answer:
Step-by-step explanation:
1/4
Sofia earns $9 per hour mowing lawns. The total amount earned (t) equals the amouont earned per hour times the number of hours (h) . Which equation gives the total amount earned t if Lina works (h) hours ?
Answer:
9h
Step-by-step explanation:
Given data
Sofia earns $9 per hour mowing lawns
Let the total amount earned be t
and let the time worked be h
Hence
t= 9*h
t= 9h
The expression is 9h
A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)
a
It is not a valid sample because it is only a short study.
b
It is a valid sample because money was offered to participants.
c
It is a valid sample because the first 10 people were selected to participate.
d
It is not a valid sample because it is not a random sample of the population.
Answer:
A
Step-by-step explanation:
The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!
Answer:
A) It is not a valid sample because it is only a short study.
determine the equation of the circle graphed below .
( help please )
Answer:
(x+5)²+(y+7)²=4
Step-by-step explanation:
just count it
expand and simplify pla
PLEASE HELP
I REALLY NEED ALOT OF HELP
Answer:
i think its A or C so im gonna say C if not im soooooooooooooooooo sorry <3
Step-by-step explanation:
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
7 feet after applying the pythagorean theorem
Step-by-step explanation:
PLEASE HELP!!!!
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .
Answer:
2 in a half 6 player games and 6 and half 2 player games. hope this helps
Step-by-step explanation:
There were 7 two-player games and 6 six-player games played
What are system of equation?
A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.
Solution:
Given:
Total games = 13
Athletes participated = 50
let x denote the number of 2-player games played and
y denotes the number of 6-player games played
Hence the equations we get are:
x ₊ y = 13 ........eq(1)
2x ₊ 6y = 50 this can be further reduced as
x ₊ 3y = 25 ......eq(2)
Now, solving both the equations using elimination method then we get :
₋2y = ₋12
y = 6
Here we can notice that x is eliminated.
Now substitute y value in eq(1) then we get x as 7.
Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.
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