Answer:
total surface area (TSA) = [tex]2bs[/tex] + [tex]b^{2}[/tex]
length = 6 mi
slant height = 7 mi
∴ TSA = 2 × 6 × 7 + [tex]6^{2}[/tex]
= 84 + 36
= 120
The surface area of the square pyramid is 120 sq. mi.
Given:
side length (s) = 6 mi
slant height (l) = 7 mi
*image of a typical square pyramid is shown in the attachment below.
Recall:
Formula for surface area of square pyramid (SA) = [tex]A + \frac{1}{2} Pl[/tex]
Where,
[tex]A =[/tex] area of the base = [tex]s^2 = 6^2 = 36[/tex] sq mi
[tex]P =[/tex] perimeter of the base = [tex]4(s) = 4\times 6 = 24[/tex] mi
[tex]l =[/tex] slant height = 7 mi
Plug in the values
[tex]SA = 36 + \frac{1}{2}\times 24\times 7\\SA = 36 +84\\SA = 120[/tex]
The surface area(SA) of the square pyramid is 120 sq. mi
Learn more about surface area of a square pyramid here:
https://brainly.com/question/8830629
Need someones help on this!
Will give Brainliest to whoever helps me.
Answer:
BJCJCJStep-by-step explanation:
Answer:
1. B
2. J
3. C
4. F
5. C
6. J (I think, Sorry if u get it wrong)
Step-by-step explanation:
Thank me later lol.
Given that a^b = x, evaluate the following: a^2b
Help PLZ!!! Will give brainliest to the first correct answer!!!!!!!
Answer:
[tex] x^2 [/tex]
Step-by-step explanation:
[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]
Answer: [tex] x^2 [/tex]
Answer:
x² is the answer
Step-by-step explanation:
if a^b=x
and a^2b= (a^b)²
=x²
Andrea constructed a triangle. Angle 1 and 3 are the same size and angle 2 has a measurement of 70 degrees. What is the measurement of angle 1 and 3
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of all angles of a triangle is 180°.
m∠1 + m∠2 + m∠3 = 180°
(m∠1 + m∠3) + m∠2 = 180°
2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]
2(m∠1) = 110°
m∠1 = 55°
Therefore, m∠1 = m∠3 = 55°
What is the product of 2b(b+11)? Show your work.
Answer:
25
Step-by-step explanation:
Answer:
2b^2 + 22
Step-by-step explanation:
2b(b + 11)
2b ×b + 2 × 11
2b^2 + 22
A cylinder has a height of 16 meters and a diameter of 26 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
V= 5224.96
Step-by-step explanation:
To find the volume for a cylinder, you need to use the formula
V=(pi)r^2h.
The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.
16/2 = 8.
Now we plug in the numbers and solve.
V= (pi) 8^2(26)
V= (pi)(64)(26)
V=(pi)(1664)
V= 5224.96
given the rectangular coordinates (-8,15), which of the following polar coordinate pairs represents the same point in radians?
a(17,2.65)
b(-17,-1.08)
c(12.7,2.65)
d(-12.7,-0.49)
Answer:
1. (x,y)=
2. (3, 480°), (3,-240°), (-3, -60°)
3. (-17, -1.08)
4. on the second circle from the center and 153° clockwise from the horizontal axis
Step-by-step explanation:
took quiz...100%
Determine the domain and range in the function, f(x)=abx
f(x)=ab^x , when a =1/4 and b=16.
3. The angle between two equal sides of an isosceles triangle is 52º.
Each of the equal sides is 18 cm long.
a) Determine the measures of the two equal angles in the triangle.
b) Determine the length of the third side.
c) Determine the perimeter of the triangle.
Answer:
a) 64° each
b) 15.78 cm
c) 51.78 cm
Step-by-step explanation:
a) (180 - 52)/2 = 64°
b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm
c) 18 + 18 + 15.78 = 51.78 cm
I really need help!!!!!!
Answer:
y = 1.50x + 4 ;
Step-by-step explanation:
Given that bike rental cost $4 plus $1.50 per hour
From the information given, the change in y per unit change in x is the value of the slope ;
Therefore, Given that total cost = y and x) number of hours
Change in cost per change in number of hours) 1.50 = slope ; intercept = constant = $4
The equation, in slope intercept form :
y = mx + c
y = 1.50x + 4
Item 7
A flat rate shipping box is in the shape of a rectangular prism. You estimate that the volume of the box is 350 cubic inches. You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a height of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.
Answer: the answer is 6.06%, however if it is rounded it's 6.0%
Step-by-step explanation:
MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS ENTEROS
11. -2115 ÷ -9 =
12. 7854 ÷ -34
13. 3425 × -4 =
14. -7 × 5 × -3 =
15. 12 × -7 × 9 =
Can you help me for these 3 questions.
Answer:
Step-by-step explanation:
1) a + a
2) 2n+4 = 6n
3) 1
4n = 4
n = 1
What is 0.0003246 expressed in scientific notation?
A.
32.46
×
10
−
5
B.
3.246
×
10
−
4
C.
3.246
×
10
4
D.
32.46
×
10
5
Answer:
B
Step-by-step explanation:
the notation answer would also be 3.246 × 10-4 i believe :)
A triangular prism has a base that is an isosceles triangle with sides 14 cm, 14cm , base 9 cm , and height 13 cm. The height of the prism is 32 cm. What is the surface area of this prism?
Answer:
Surface area of prism = 1301 cm²
Step-by-step explanation:
A triangular pyramid has 3 rectangular sides and 2 triangular sides.
Now, we are told that the triangular side is isosceles.
This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.
Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).
Area of triangle = ½ × base × height
Area of triangle = ½ × 9 × 13 = 58.5 cm²
Since height of prism is 32 cm, then;
area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²
area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²
Thus;
Surface area of prism = 2(58.5) + 2(448) + 288
Surface area of prism = 1301 cm²
Felicia is solving the expression - 5(3x + 2) + 10x. Gregory is solving the expression -12 - 4x +?+?x.
Both students simplified their answers to get the same expression. What are the values
missing from Gregory's expression?
Answer:
-5x-10 is the expression. the missing values would be 2 and -x i believe
What does this equal to
|9-14|
Answer:
5
Step-by-step explanation:
An absolute value is NEVER negative.
|9 - 14| = |-5| = 5
Answer: 5
18+2 =20
Because 18 is 2 numbers away from 20
Answer:
Yes, that is correct.
Step-by-step explanation:
5
7
9
4
In percents?
Answer:
Convert the decimal to a percentage by multiplying the decimal by
100 .
500%
700%
900%
400%
Point B has coordinates (1,2). The x-coordinate of point Ais - 11. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
In ΔGHI, h = 650 cm, i = 130 cm and ∠G=72°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
84500 is the correct answer
Answer:
40182 delta math
Step-by-step explanation:
ASAP PLEASE
Type in your response.
What is the area of kite ABCD?
sq yd
Answer:
51.5?
Step-by-step explanation:
I think it's just length times width divided by 2
The area of the kite ABCD is 51.56 square yards.
What is the area of the kite?A kite's area is the amount of space enclosed or surrounded by a kite in a two-dimensional plane.
A kite's area equals half the product of its diagonal lengths. The formula for calculating a kite's area is:
Area = 1/2 × d₁ × d₂
Where d₁ and d₂ are long and short diagonals of a kite.
Here, AC = 12.5 yards and BD = 8.25 yards
Substitute the values of d₁ = 12.5 yards and d₂ in the formula of the kite's area:
The area of the kite = 1/2 × 12.5 × 8.25
The area of the kite = 51.5625
The area of the kite ≈ 51.56 square yards
Thus, the area of the kite ABCD is 51.56 square yards.
Learn more about the area of the kite here:
https://brainly.com/question/2292872
#SPJ7
Solve each equation mentally
If the unit rate is constant, what are the total sales for 12 pounds of asparagus?
I WILL GIVE BRAINLIEST!!!
consider the polynomial function q(x)=-2x^8+5x^6-3x^5+50
end behavior
Answer:
Step-by-step explanation:
ps. you can use m a t h w a y and check
it's spaced out cuz it doesn't let me write it well
Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
A. Write a recursive rule for this series
B. Write an explicit rule for this series
C. Using the explicit formula, find the number of chairs in row 5
D. The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium
Answer:
The first term is 10.
The second term is 16
The third term is 22.
We can see that the first term plus 6, is:
10 + 6 = 16
Then the first term plus 6 is equal to the second term.
And the second term plus 6 is:
16 + 6 = 22
Then the second term plus 6 is equal to the third term.
A) As we already found, the recursive rule is:
Aₙ = Aₙ₋₁ + 6
B) The explicit rule is:
Aₙ = A₁ + (n - 1)*6
Such that A1 is the first term, in this case A₁ = 10
Then:
Aₙ = 10 + (n - 1)*6
C)
Now we want to find A₅, then:
A₅ = 10 + (5 - 1)*6 = 34
There are 34 chairs in row 5.
D)
Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:
C = A₀ + A₁ + ... + A₁₆
This summation can be written as:
∑ 10 + (n - 1)*6 such that n goes from 0 to 16.
The formula for the sum of the first N terms of a sum like this is:
S(N) = (N)*(A₁ + Aₙ)/2
Then the sum of the 17 rows gives:
S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.
There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.
The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex]The explicit rule for this series is: [tex]T_n = 6n + 4[/tex]What is recursive rule?A rule defined such that its definition includes itself.
Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.
For this case, we're provided that:
Seats in rows are 10 in front, 16 in second, 22 in third, and so on.
10 , 16 , 22 , .....
16 - 10 = 6
22 - 16 = 6
...
So consecutive difference is 6
If we take [tex]T_i[/tex] as ith term of the series then:
[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]
Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]
From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]
Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]
For 5th row, putting n = 5 gives us:
[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]
If the auditorium has 17 rows, then total chairs are:
[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]
(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )
Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].
Learn more about recursive rule and explicit rule here:
https://brainly.com/question/12620593
WILL GIVE BRAINLIEST PLEASE HELP ASAP, BEST ANSWER GETES BRAINLIEST. NOT A SCAM AND ITS NOT CAP WHAT SO EVER
Answer:
A. 60 + x = 90
Step-by-step explanation:
Complementary angles add up to 90 degrees so
60 + x = 90
Answer:
The answer is A: 60 + x = 90
Step-by-step explanation:
Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)
Mrs. Smedema likes cookies. Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Smedema’s 8th grade math class?
Late answer, but whatever.
Answer:
36. There are 36 students in the class.
Step-by-step explanation:
4/12 oatmeal
2/12 cinnamon
3/12 chocolate
9 peanut
The fractions added together = 9/12
This means the 9 students = 3/12 of the class
3 x 4 = 12
9 x 4 = 36
A furniture rental store charges a down-payment of $100 and $75 per month for a
table, Karen paid $550 to rent the table. Write an equation to find the number of
months Karen rented the table.
Answer:
She rented the table for 6 months
Answer:100 - 550= 440 than 75 x 12 is 900 so she will need 460 dollars left to completely rent the table.
Step-by-step explanation:
Using Substitution, what is the point of intersection of the following
systems? *
3x – ly = 14
y = - 2x + 16
1) (6,4)
2) (-6,-4)
3) (-6, 4)
4) (6,-4)
Answer:
A
Step-by-step explanation:
(6,4)
3x-1y=14
-y= 3x-14
y=-2x+16
sub in first equation
3x-14 =-2x+16
3x+2x= 16 +14
5x = 30
x = 6
plug in x
y=-2x+16
y = -2(6)+16
y = 4
(6,4)