Answer:
105in²
Step-by-step explanation:
Surface area is the total area of the faces.
The faces of pyramid consist of triangles and a square
The area of a square can easily be calculated by squaring the side length
the square of this pyramid has a side length of 5
so
area of square = 5²
5² = 25
the area of the square is 25in²
Now to find the area of the triangles
All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)
the area of a triangle can be calculated using this formula :
[tex]A=\frac{bh}{2}[/tex] where b = base and h = height
The triangles have a base length of 5 in and a height of 8 in
so
[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]
So the area of one triangle is 20 in²
Now we multiply 20 by 4 to find the area of all 4 triangles
20 * 4 = 80
So the total area of the triangles is 80in²
Finally we add the two areas together
Surface area = 80 + 25
80 + 25 = 105
Hence, the surface area is 105in²
Answer:
105 in.
Step-by-step explanation:
To find the area of a square pyramid, use this formula
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.
The base is a square.
To find the area of a square, simply multiply the side length by itself twice (x^2).
5 x 5 = 25.
25 is the area of the base.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ p ⋅ height.
To find the perimeter of a square, add every side length; the sum is the perimeter.
5 + 5 + 5 + 5 = 20.
20 is the perimeter of the square.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ height
The height is the number along the little lines.
8 is the height.
Now that we have all parts of the formula, we have our final equation.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ 8 = 105.
105 in. is the surface area of the square pyramid.
A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?
Answer:
-20 feet
Step-by-step explanation:
change in depth = number of feet below the surface + number of depth on the surface
Because the submarine is below surface, a value of -30 would be given
-30 + 10 = -20 feet
Find mZWZY.
(5x + 4)
(6x)
please help asap I will make you brainliest and please don't put a link The area of the base of a triangular pyramid is 90 meters squared, and its height is 6 meters. The volume of a pyramid can be found using the formula V = one-third B h. Which expressions can be used to find the volume of the pyramid? Select three choices.
Answer:
I think It is the third and fifth.
Step-by-step explanation:
i do not know for sure though.
How many solutions are there to this nonlinear system?
A.Two solutions
B. One solution
C. No solutions
Find the gradient of the line passing through the points (4a,-a) and (6a,5a)
Answer:
The gradient of the line passing through the points (4·a, -a) and (6·a, 5·a) is 3
Step-by-step explanation:
The gradient of a (straight) line given the 'x' and 'y' coordinates of two points on the line, (x₁, y₁), and (x₂, y₂) can be found using the following formula;
[tex]The \ gradient \ of \ a \ line, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The coordinates of two points on the given line are;
(4·a, -a), and (6·a, 5·a)
Therefore, we get;
[tex]The \ gradient \ of \ the \ line =\dfrac{5\cdot a-(-a)}{6 \cdot a-4 \cdot a} = \dfrac{6\cdot a}{2 \cdot a} = 3[/tex]
The gradient of the line = 3.
12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36
Answer:
C. x is the variable
Step-by-step explanation:
easy...
WILL MARK BRAINLIEST!! FOR RIGHT ANSWERS
Answer:
1. -3
2. 0/4 or 0
3. -2/3
4. -4/-3
Step-by-step explanation:
Answer:
1. The slope is -3
2. The slope is -1
3. The slope is -1/2
4. The slope is 4/3
helpp
Lily bought shares for $15 each.
When she sold the shares she made
a profit of 35%.
What price did she sell the shares for?
Answer:
profit %=35%
cp=Rs15
sp=?
profit amount =?
now,
sp=35%of cp
=35 of 15
__
100
= 5.25
again,
sp =cp + profit
=15+5.5
=20.5#
Step-by-step explanation:
hope it helps
Write the equation of a circle with a center of (1,-2) and radius of 4.
Answer:
(x - 1)^2 + (y + 2)^2 = 4^2
Step-by-step explanation:
The standard equation of a circle of radius r with center at (h, k) is
(x - h)^2 + (y - k)^2 = r^2
Replacing h with 1, y with -2 and r with 4, we get:
(x - 1)^2 + (y + 2)^2 = 4^2
If the mass of the 5 coins is 25 grams, which measurement is closest to the total mass of the 2 pieces of candy?
Find the perimeter and area of the rhombus.
answer:
perimeter- 12 units
area- 4.5 units
step-by-step explanation:
perimeter-
p=4a
=4*3
=12
area-
a=pg/2
=3*3/2
=4.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
hi!!! due in 10 mins so please help!!!!
n^2 + 10n + 25 can be factored as (n+5)^2 , so yes
9x^2 - 24x + 26 can be factored as (3x-4)^2, so yes
A room is 8 meters long how many centimeters is the room
Answer: 800 cm
Step-by-step explanation:
8x100= 800cm
you multiply 100 times how many meters you have youll get centimeters
Answer:
800
Step-by-step explanation:
Multiply the length value by 100
A discipline committee is selected by placing the names or 12 teachers in a bag and than randomly drawing 3 of the names it there are 7 math teachers and 5 english teachers what is the probility that the committee will be made up of all math teachers a7/44 b7/12 c35/288 d7/288
Answer:
b
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability that the committee will be made up of all math teachers = total number of maths teacher / total number of teachers
7 / 12
help ASAP with working if possible
Answer:
1. The volume of the cylinder is approximately 0.153 m³
2. 25 cm
3. [tex]25.\overline 6 \ cm[/tex]
4. 16 m
5. 1,785 m³
Step-by-step explanation:
The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid
1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top
The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m
The area of the circular cross-section, A = π·d²/4
∴ A = π × 0.5²/4 = 0.0625·π
A = 0.0625·π m²
The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m
∴ The volume of the cylinder, V = A × h
∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153
The volume of the cylinder, V ≈ 0.153 m³
2. The given volume of the trapezium, V = 8550 cm³
The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively
The height of the trapezium from the diagram, h = 18 cm
The cross-sectional area of the trapezium, 'A', is found as follows;
A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²
The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium
∴ l = V/A
By substitution, we have;
l = 8550 cm³/(342 cm²) = 25 cm
∴ The Missing Length, l = 25 cm
3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³
The area of the (uniform) cross-section of the solid, A = 15 cm²
∴ The length of the solid, 'l', from V = A × l, is given as follows;
l = V/A
∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm
The length of the solid, l = 25.[tex]\overline 6[/tex] cm
4. From the diagram, we have;
The cross-sectional area of the solid, A = 216 m²
The length of the solid, l = 16 m
5. The cross-section of the solid can can be assumed to be either;
1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.
2. A triangle located above a rectangle
For scenario one, we have;
The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25
For scenario two, we find 'A' as follows;
A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25
∴ The cross-sectional area of the solid, A = 89.25 m²
The length, 'l', of the solid, is given as l = 20 m
The volume of the solid, V = A × l
∴ V = 89.25 m² × 20 m = 1,785 m³
The volume of the solid, V = 1,785 m³.
Thank for help find a volume
Answer:
117π=367.38
Step-by-step explanation:
r=d/2=3
V=πr2h=π·3²·13=117π=367.38
HELP!!!
in triangle ABC , AB=116 , BC=68 and m
Answer:
This is a right traingle right? AC =129 is so
Step-by-step explanation:
WRITE AN EQUATION THAT MATCHES THE STORY!! Five students came for after-
school tutoring. Priya's teacher assigned each of them the same number of
problems to complete. Then she assigned 2 more problems to one of the
students. 27 problems were assigned in all.
Answer:
5 + 2 = 27
Step-by-step explanation:
Answer:
let's take s as student
let's take p as problem
sp as student that has gotten a problem
1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p
5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p
20sp + 1s × 7p
20sp + 7sp
27sp
Which statements is true about figure DEF?
(I NEED HELP PLEASE)
ITS DUE TODAY
Answer:
It's on the third at the picture
Step-by-step explanation:
hope it helps make brainlliest ty the
Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.
Answer:
3f + d or d +3f
Pleaseee helppp asap
Answer:
58 percent is one of them
Step-by-step explanation:
105 freshman divided by 180 students total
Dont answer this question if you dont know the answer
Answer:
C
Step-by-step explanation:
sin = 5/13
cos = 12/13
tan = 5/12
i'll really appreciate some help! thank you! ln(4x-9)=-5
Answer:
Step-by-step explanation:
The answer is x= 7/2
decimal form 3.5
what is the full form of CRT
Answer:
Cathode Ray tube is the answer I think
[tex]3 + 3 + 3 = [/tex]
[tex]5 + 5 + 5 + 5 = [/tex]
[tex]5 + 5 + 3 = [/tex]
[tex]3 + 3 + 3 + 5 = [/tex]
[tex]5 + 5 + 5 = [/tex]
[tex]5 + 5 + 3 - 3 = [/tex]
[tex]5 + 5 + 3 + 3 + 3 = [/tex]
NO FILES PLEASE
Answer:
[tex]3 + 3 + 3 =9 [/tex]
[tex]5 + 5 + 5 + 5 =20 [/tex]
[tex]5 + 5 + 3 =13 [/tex]
[tex]3 + 3 + 3 + 5 = 14[/tex]
[tex]5 + 5 + 5 =15 [/tex]=15
[tex]5 + 5 + 3 - 3 =10 [/tex]
[tex]5 + 5 + 3 + 3 + 3 =19 [/tex]
Answer:
Step-by-step explanation:
3+3+3=9
5+5+5+5=20
3+3+3+5=14
5+5+5=15
5+5+3-3=10
5+5+3+3+3=19
Circle A is located at (6, 5) and has a radius of 3 units. What is the equation of a line that is tangent to circle A from point C (9, 8)?
y = −x + 14
x = 9
y = x − 1
x = 4
Answer:
2nd
Step-by-step explanation:
The equation of a line that is tangent to circle A from point C (9, 8) will be option C; y = x − 1.
How to get straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
Given; Circle A is located at (6, 5) and has a radius of 3 units.
The slope;
m = (8- 5)/(9 -6) = 1
Substitute in the equation of line;
y = mx +c
8 = 1(9) + c
8 - 9 = c
c = -1
So, We get
y = x − 1
Hence the equation of a line that is tangent to circle A from point C (9, 8) will be option C; y = x − 1.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ5
Find the value of two numbers if their sum is 19 and and their difference is 5
Answer:
7 and 12
Step-by-step explanation:
x - y = 5
y = (5+x)
x+ (5+x) = 19
2x +5 = 19
2x = 14
x = 7
19-7 = 12
12 +7 = 19
12-7 = 5
how many dog toys weigh 3/8 or 1/2 of a pound
Answer: 6
Step-by-step explanation:
By tallying up the x's in total in 3/8 and 1/2, it would be 6.
please answer fast! calculate the value of x. C is center of the circle. (attached image)
A six sided die is rolled and a spinner with 5 equal spaces labeled A-E is spun. Find the P(rolling
a 1 and spinning A). Answer as simplified fraction.
Answer:
1 / 30
Step-by-step explanation:
For a six - sided die :
Sample space = (1, 2, 3, 4, 5, 6)
P(rolling a 1) = required outcome / sample space = 1/6
Sample space for spinner = (A, B, C, D, E)
P(spinning A ) = required outcome / sample space = 1/5
P(spinning A) = 1 / 5
P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30