Answer:16
Step-by-step explanation:I am doing the test :D
The surface area of the square pyramid is S = 736 cm²
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
Let the side length of the pyramid be s = 16 cm
So , Area of base B = (side length)² = 16² = 256 cm²
Next, let's find the area of each triangular face. Since the pyramid is a regular square pyramid, all the triangular faces are congruent.
The base is one side of the square base, which has length 16 cm. The height of the triangle is the slant height of the pyramid, which is given as 17 cm.
Using the Pythagorean theorem, we can find the height of the pyramid:
Height of the pyramid h = √(slant height² - ( base/2 )²)²
h = √(17² - 8²)
h = √225
h = 15 cm
Therefore, the area of each triangular face is:
Area of triangular face = (1/2) × base × height
Area of triangular face = (1/2) × 16 × 15
Area of triangular face = 120 cm²
Since there are 4 triangular faces, the total area of the triangular faces is:
Total area of triangular faces = 480 cm²
Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:
Total surface area = Area of base + Total area of triangular faces
Total surface area = 256 + 480
Total surface area = 736 cm²
Hence , the surface area is 736 cm²
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Last month, customers at a gift shop bought 40 birthday cards,
19 congratulations cards, 20 holiday cards, and 21 thank you
cards. Suppose 125 customers buy greeting cards next month.
How many would you expect to buy a birthday card?
Answer:
32 People
Step-by-step explanation:
I put 40 (Number of birthday cards bought previously) over 125 (Number of expected costumers) and multiplied it by 100 (Total number of card bought previously) to get my answer. Hopefully that helps :)
A system of linear equations for the variables x and y is shown.
y=-x-4
3y=cx-18
For what value of c, if any, will this system have no solution? Justify your answer.
Answer: -3
Step-by-step explanation:
Given
Equations of the lines are
[tex]y=-x-4\\3y=cx-18[/tex]
For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]
Rewrite the equations
[tex]x+y=-4,\ cx-3y=18[/tex]
Insert the values for the no solution condition
[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]
Therefore, for c=-3, the system of linear equation ha no solution.
What is the product (7 times 10 to the power of -5) times (5 times 10 to the power of -8)
Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.5×10^−12
Step-by-step explanation:
in simple terms 3.5×10^−12 or 3.5 times 10 to the power of -12
A. Graph B and Graph D
B. Graph A only
C. Graph C and Graph D
D. Graph D only
Answer:
A is correct answer
Step-by-step explanation:
like me
7/8 x 1/3 x 2/3 in fractions
Answer:
14/72
Step-by-step explanation:
Just line them all up and multiply numerators with numerators and denominators with denominators. You have your answer.
3. When pasta is cooked, it doubles in weight. When Ms. Morrison finished cooking
pasta for her family, the cooked pasta weighed 550 gram. How much did it
weigh before she cooked it?
Answer:
275
Step-by-step explanation:
550 divided by 2 is 275.
2 regular pizzas and 3 small pizzas cost £22 6 regular pizzas and 12 small pizzas cost £78
find the cost of one each
Answer:
Regular pizza: £5
Small pizza: £4
Step-by-step explanation:
Let x = regular pizza
Let y = small pizza
6x + 12y = 78
2x + 3y = 22
I'm going to use elimination method to solve for y
6x + 12 y = 78
-3(2x + 3y = 22) = -6x -9y = -66
Eliminate the x
3y = 12
Divide both sides by 3
3y/3 = 12/3
y = 4
Substitute the y in one of the original equations
2x + 3(4) = 22
2x + 12 = 22
Subtract both side by 12
2x + 12 - 12 = 22 - 12
2x = 10
Divide both sides by 2 to solve for x
2x/2 = 10/2
x = 5
Answer:
small $3.4 regular $6.2
Step-by-step explanation:
2r +3s = 22.6
6r *12s = 78
Multiply the first by -3
-6r -9s = -67.8
6r +12 s = 78
Add both (6r will be cancelled)
3s = 10.2
s = 3.4 small = 3.4 (3 small = 10.2)
2r +10.2 = 22.6
2r = 12.4
r = 6.2
I really need help!! Thank you in advance!!! No links! ;w;
Harmon’s Jewelry Store receives a shipment of jewelry. 485 pieces are good but 15 pieces arrived damaged. At this rate, if Mrs. Harmon places an order of 5,500 jewelry pieces, how many can she expect to be damaged?
hope this helps
Step-by-step explanation:
first you divide 5,500 by 485(5,500/485), then you will get 11.34, and since you cannot buy half of something, you will have to round down to 11. then you multiply 11 by 15 (11 X 15) and you will get 165, so then you go back and subtract 165 from 5,500 (5,500-165) and there is your answer (5335).
Answer:
the answer is 5335.
I need answer Immediately pls!!!!!!
Answer:
14 players.
Step-by-step explanation:
The bus is a fixed cost, so the unknown “p” comes after the player meals, as that price isn’t fixed and is per player.
993.5 + 74.25p = 2033
74.25p = 1039.5
p = 14
PLEASE HELP! which prism has the greatest volume?
Answer:
The cube is the answer.Step-by-step explanation:
The rectangular prism has a volume of 112.
The second rectangular prism has a volume of 81.
THe third rectangular prism has a volume of 108.
The cube has a volume of 125.Hope it helps!
Kavitha
Answer:
[tex]volume \ of \ cuboid = lbh[/tex]
[tex]volume \ of \ first \ prism = 112cm^3\\\\volume \ of \ second \ prism = 81cm^3 \\\\volume \ of \ third \ prism = 108cm^3\\\\volume \ of \ fourth \ prism = 125cm^3[/tex]
Last prism with sides 5 x 5 x 5 has the greatest volume
Help need help cause I don’t understand stand
Answer:
A
Step-by-step explanation:
just cut off one side and add it to the other thats how you solve paralellograms
Answer: 6 x 7?
Step-by-step explanation: To find the area of a parallelogram it's base times height.
I need help asap!!
if p= -1, 5 Rx axis (P)
Answer:
P'(7, 5)
Step-by-step explanation:
Rule for the transformation of a point [tex]R_{x=1}(P)[/tex] defines,
Reflection of a point P(x, y) about a line, x = 1 which is parallel to y-axis.
Line x = 1 works like a mirror so the distance between the line and the image point will be equal to the distance between the line and the original point.
Distance between the line and a point (-1, 5) = 4
Therefore, distance between the line and the image point = 4
Coordinates of the image point will be,
P'(3, 5)
Please help me now
If Rectangle ABCD is rotated 90° counter-clockwise about Point A, what will be
the coordinates of the vertex C'?
A. (-3, -1)
B. (-4,1)
C. (5, 4)
D. (-6, 5)
Answer:
A
Step-by-step explanation:
The answer should be A. If you rotate it around point A the rectangle would be up right on the x axis
Find the values of x and y in the diagram.
Answer:
x =4 and y =1
Step-by-step explanation:
Triangle ADB is an equilateral triangle that means the side a 3 unit each
so,
y + 2 = 3
y = 1
Triangle DBC is an isosceles triangle that means two legs are equal
So,
y + 2 = x -1
we already know that y+2 = 3
So,
3 = x -1
4 = x
hhhhhheeeeeeeeeeelllllllppppppp
Answer: Last answer
Step-by-step explanation:
PLEASE HELP!!! I WILL GIVE BRAINLIEST TO THE FIRST PERSON!!!
Answer:
c
Step-by-step explanation:
The cardboard box below is used by a company to package new laptops of the company plans to increase the length of the Box by 2in what is the minimum amount of extra cardboard needed to construct a new box The dimensions of the box is 5 in high 16 in in width and 20 in in length
A. 84in^2
B. 116in^2
C.132in^2
D.160in^2
The minimum amount of extra cardboard needed to construct a new box is : 84in².
What is the minimum amount of extra cardboard needed?First step
Surface area=2(16) (5) in²+ 2(20in) (5in) + 2(16in) (20in)
Surface area=1000in²
Second step
Surface area if the length increase by 2 inches
Surface area=2(16) (5) + 2(20+2) (5in) + 2(16in) (20+2)
Surface area=1084in²
Third step
Surface area=1084in²-1000in²
Surface area=84in²
Therefore the minimum amount of extra cardboard needed to construct a new box is : 84in².
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General formula for
6 ; 8 ; 10 ; 12
Answer:
[tex]an=2n+4[/tex]
Step-by-step explanation:
Ajar contains 20 marbles, of which 4 are red, 12 are black, 3 are green, and 1 is
yellow.
What is the probability that a randomly selected ball is green?
Answer:
3/20
Step-by-step explanation:
FORMULA: amount of green balls of amount of total balls
PLUG IT IN: 3/20
30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0
The time that the height of 80 feet occur on the interval 0 is 4.662 seconds.
Given:
50 cos (π/15(x-10))+52
Height=80 feet
Time= x second
Hence:
height (h)= 50 cos [pie(x - 10 )/15 ] + 52
80 = 50 cos [pie( x - 10 )/15 ]+ 52
Collect like terms
80 - 52 = 50 cos [ pie( x - 10 )/15 ]
28 = 50 cos [ pie( x - 10 )/15 ]
cos [pie( x - 10 )/15 ] = 28/50
cos [ pie( x - 10 )/15 ] =56
cos [pie( x - 10 )/15 ]= cos ( 56 )
cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )
Hence:
pie( x - 10 )/15 = 0.3111
( x - 10 )/15 = 0.3111
x - 10 = 15 × 0.3111
x - 10 = 4.662
x = 10 + 4.662
x = 14.662 seconds
Therefore the correct option is C.
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FIND THE SURFACE AREA FOR THE FIGURE BELOW AND SHOW WORK. PLEASE HELP ASAP
Answer:
247.21
Step-by-step explanation:
equation for height : c= a2 + b2
4.82 + 9.32
≈10.46566
equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2
5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2
≈247.21018
round to nearest hundredth: 247.21
A dinner at Chili’scosts you $32. At this restaurant, there is a 6% sales tax. However, you have to payfor a tip, which is 15%. What is your final total after finding the sales tax and calculating the tip?
Answer:dasda
Step-by-step explanation:adsdad
if f,g and h are midpoints of the sides of the triangle jkl, fg=40, kl=52 and gh=26, find each measure
Answer: The measure of JK is 60 and the correct option is d.
Explanation:
It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.
The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.
By midpoint theorem,
Therefore the measure of JK is 60 and the correct option is d.
OMG I NEED HELP PLSSSSSSSSSSS
WHATS 1 + 1?
ILL MAKE U BRAINLIEST IF U ANSWER SO PLS HELP ME
Answer:
2
Step-by-step explanation:
Answer:
1+1 = 2.
If you had one apple, and I gave you one more, you would have 2 apples.
Help! Please and Thank you!
Answer:
1/26
Step-by-step explanation:
The probability is 1/26 because there are 26 letters on a keyboard!
please helppppppppppp
Answer:
f(10) = 3
Step-by-step explanation:
If f(x) = [tex]-\frac{3}{5} x + 9[/tex] , in order to find the result for f(10) we just need to substitute 10 instead of x and we will get...
[tex]f(x) = -\frac{3}{5} x + 9\\\\f(10) = -\frac{3}{5} (10) + 9\\f(10) = - 6 + 9\\f(10) = 3[/tex]
X + 2x - 7/4=1 - x/2 -x ayudaaaaa
Answer:
|x| - |-x| = 0
Step-by-step explanation:
Answer:
no se
Step-by-step explanation:
no se
find the surface area. round to the nearest hundredth when necessary.
Answer:
The area of the shape is 122.30 cm^2
Step-by-step explanation:
To calculate the surface area, we identify the side shapes
We have this as;
a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm
The area of the rectangles is simply the product of the side lengths
The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both
Thus, we have the area of the shape as follows;
(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)
= 33 + 18 * 24 + 47.3
= 122.30 cm^2
find the length of CD.
PLEASE HELP! No random links.
Answer:
B and F are non-statistical questions
Step-by-step explanation:
B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.
Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.