The surface area of this square pyramid is,
⇒ SA = 296 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To find the surface area of this square pyramid
Now, We know that;
the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
Where, B represents the area of the base. p represents the perimeter of the base. l represents the slant height.
Now, We get;
B = 12 x 8
B = 96
p = 2 (12 + 8)
p = 40
l = 10
Thus, the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
⇒ SA = 96 + 1/2 x 40 x 10
⇒ SA = 96 + 200
⇒ SA = 296 cm²
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The first thing you should do in solving a word problem is estimate what you think the answer would be.
True
False
Answer:
The answer is True.
Step-by-step explanation:
Estimate the Answer Before Solving Having a general idea of a ballpark answer .Or the problem lets students know if their actual answer is reasonable or not.How much would a 20% tip be on a $65 restaurant bill?
Answer:
13 dollars would be the answer you're welcome lol
When p = 12, t = 2, and s = one-sixth, r = 18. if r varies directly with p and inversely with the product of s and t, what is the constant of variation? one-eighth one-half four and one-half 18
The constant of variation given that r varies directly with p and inversely with the product of s and t is one-half
From the question given above,r ∝ p ∝ 1/st
r ∝ p / st
r = Kp / st
Cross multiply
r × st = Kp
Divide both side by p
K = rst / p => constant of variation
How to determine the constant of variation p = 12t = 2 s = one-sixth = 1/6r = 18Constant of variation (K) =?K = rst / p
K = (18 × 1/6 × 2) / 12
K = 6 / 12
K = 1 / 2 = one-half
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1) lan's new Mercedes cost him $75,000. From the
moment he drives it off the lot, it will depreciate
by 20% each year for the first five years. What will
be the car's value be at the end of five years?
(Round to the nearest whole number.)
Answer: The answer to this is 3000,
Step-by-step explanation:
I think this is the answer because when you find out what 20% of 75000 is, (which is 15000) you can divide 20% by 5 and there is your answer, i hope this helps
What two-dimensional shape is formed by the cross section shown below?
Answer:
I believe rectangle.
Step-by-step explanation:
what is the surface area of this?
Answer:
Surface Area = 96
Step-by-step explanation:
Area of Triangle: Area = 1/2 * Base * Height
Top Triangle:Area = 1/2 * 6 * 2 = 6
Bottom Triangle:Area = 6
Area of Rectange: Area = Length * Height
Left Rectangle:Area = 7 * 3 = 21
Mid RectangleArea = 7 * 6 = 42
Right RectangleArea = 21
Surface Area = TopTri + BotTri + LeftRect + MidRect + RightRect
Surface Area = 6 + 6 + 21 + 42 + 21 = 96
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
5.7.PS-7
Solve the inequality. Then graph the solutions on a number line.
6< - 3(2x-6)
A. X≥
• B. X >
O C. X <
O D. XS
the answer is a x equal to or greater than
In the diagram, ABCDE is a regular pentagon.
(a) Calculate /BAE.
(b) What is the name of the quadrilateral ABCD?
(c)The sides AE and CD are produced to meet at X.
(i) Calculate /EDX.
(ii) What type of quadrilateral is BDXE? Explain your answer.
The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent
Part A: Calculate ∠BAEThe angle BAE is a vertex angle, and it is calculated using:
BAE = 180 * (n - 2)/n
Where n= 5; i.e. the number of sides.
This gives:
BAE = 180 * (5 - 2)/5
Evaluate
BAE = 108°
Hence, the measure of angle BAE is 108°
Part B: The name of the quadrilateral ABCDWhen the vertices A and B are joined together, the shape becomes a trapezoid.
Hence, the name of the quadrilateral ABCD is a trapezoid.
Part C (i) Calculate ∠EDXSee attachment for the new figure.
From the attached figure, we have:
∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line
Where:
∠EDC = ∠BAE = 108°
So, we have:
∠EDX + 108° = 180°
Subtract 108° from both sides
∠EDX = 72°
Hence, the measure of angle EDX is 72 degrees
Part C (ii) What type of quadrilateral is BDXE?The quadrilateral BDXE is a parallelogram.
This is so because the opposite sides of BDXE are parallel, but not congruent
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Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a) 1.6×10⁻⁶
b) 2×10⁷
Step-by-step explanation:
You want the product or quotient in standard form of ...
(8×10⁻³)×(2×10⁻⁴)(6×10²)÷(3×10⁻⁵)ExponentsThe rules of exponents apply:
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
Scientific notationA number is said to be in scientific notation if there is one digit to the left of the decimal point, and the multiplier is expressed to an appropriate power of 10. The power of 10 may need to be adjusted so the decimal point is in the correct place. In general, the power of 10 represents the place value of that most-significant digit.
Standard formIn the US, a number is written in standard form as a sequence of digits with an optional decimal point. Integers are written so the least-significant digit has a place-value of 1.
Elsewhere, a number is written in standard form when it is written in scientific notation.
We have given both forms a number here, so you will need to choose the one that is standard form where you are.
a) (8×10⁻³)×(2×10⁻⁴)The product is (8×2)×10^(-3-4) = 16×10^-7 = 1.6×10^-6
= 0.0000016
b) (6×10²)÷(3×10⁻⁵)The quotient is (6/3)×10^(2-(-5)) = 2×10^7
= 20,000,000
<95141404393>
solve each logarithmic equation. Round your answer to two decimal places.
Teach me this one? I want to work on the next and will submit it once I have it done.
7 log9 (x + 8) = 7
Answer:
[tex]\sf \boxed{\bold{x=1}}[/tex]
Explanation:
[tex]\rightarrow \sf 7 log_9 (x + 8) = 7[/tex]
divide both sides by 7
[tex]\rightarrow \sf \dfrac{7\log _9\left(x+8\right)}{7}=\dfrac{7}{7}[/tex]
simplify the following
[tex]\sf \rightarrow \log _9\left(x+8\right)=1[/tex]
apply log rules [tex]\underline{The \ rule}: \ \bold{log_{b} (a)= c} \ \ \Longrightarrow \sf a = b^c[/tex]
[tex]\sf \rightarrow x+8 = 9^1[/tex]
simplify
[tex]\sf \rightarrow x+8=9[/tex]
subtract both sides by 8
[tex]\sf \rightarrow x=1[/tex]
[tex]\\ \rm\Rrightarrow 7log_9(x+8)=7[/tex]
[tex]\\ \rm\Rrightarrow log_9(x+8)=1[/tex]
[tex]\\ \rm\Rrightarrow x+8=9^1[/tex]
a^1=a[tex]\\ \rm\Rrightarrow x+8=9[/tex]
[tex]\\ \rm\Rrightarrow x=9-8[/tex]
[tex]\\ \rm\Rrightarrow x=1[/tex]
what is the distance between -45 and 35
Answer:
10
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
-45 minus 35 is -80 so that's 80 units. and including zero it's 81 units
7/5 as a mixed number
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASELET ME KNOW IF YOU NEED EXPLANATION
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEParallelogram Properties - Diagonals
delta math
Answer:
DE=18
Step-by-step explanation:
The reason is because that parallelogram ABCD has most of the sides equal to each other.
The length of DB = 36 and half of 36/2 gets us DE.
DE=36/2=18
DE=18 also equals to BE=18
Diagonals of a parallelogram bisect each other
So
DE+BE=DBPutting DE=BE
2DE=DBDE=DB/2DE=36/2DE=18Please help me ):
.
.
.
.
Jeremy is x years old. He is 5 years younger than his sister. Together, the sum of their ages is 29 years. Enter an equation that can be used to find Jeremy's age (x).
Answer:
Jeremy is 12 years old
Step-by-step explanation:
Jeremy age=X
Sister age=Y
1. X+Y=29 (sum of their ages)
2. X=Y-5 (he is 5 years younger than his sister)
*Substitute eq 2 into eq 1
Y-5+Y=29
2Y=29+5
2Y=36 (divide both sides by 2)
Y =17
Substitute value of Y into eq 1 to find X
X+17=29
X=29-17
X= 12
Checking answer:
12+17=29
17-5=12
Hence why Jeremy is 12
PLEASE HELPP QUICKLY!!!!!
Answer:
the first option, LON and NOP
Step-by-step explanation:
adjacent angles are side by side and cannot overlap
Answer:
1) angle LOM and angle MON
2) A. angle LON and angle NOP
help me with this question, please
Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
Part 1
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:
[tex]\frac{3x}{3} = \frac{-12+6y}{3}[/tex]
x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
Part 2
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!
Which graph represents the function
f(x) = (x + 4)(x + 1)(x - 3)
?
Answer:
Step-by-step explanation:
The graph that represents the function
f(x) = (x + 4)(x + 1)(x - 3)
crosses the x-axis three times: at x = -4, x = -1, and x = 3
because we apply the zero product rule and found the roots -4, -1, and 3
x+ 4= 0 → x = -4
x+1 = 0 → x = -1
x-3 = 0 → x = 3
HELP ASAP !!!!!Consider the function f(x) = 10x and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted 6 units down. B. The graph of g(x) is the graph of f(x) shifted to the right 6 units. C. The graph of g(x) is the graph of f(x) shifted to the left 6 units. D. The graph of g(x) is the graph of f(x) shifted 6 units up.
Answer:
the answer is B, the graph of g(x) is the graph of f(x) shifted to the right 6 units. hope this helps!
Answer:
C. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
Hope this helps and good luck!
An item on sale costs 15% of the original price. The original price was $97
Answer:
$14.55
Step-by-step explanation:
Please help i need answer asap
Answer:
14x+6+(5x+30+=2190
Step-by-step explanation:
A cylinder with radius 3 feet and height 5 feet is shown.
6
ft
Enter the volume, in cubic feet, of the cylinder. Round your
answer to the nearest hundredth.
Answer:
The volume of the cylinder is 141.23 cubic feet
Step by step explanation :
Given-
Radius of cylinder = 3 feet Height of cylinder = 5 feetNow, we know that
[tex] \boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}[/tex]where, r is the radius of the cylinder & h is the height of the cylinder.
Now,
Volume of the cylinder = [tex] \frac{22}{7} \times {3}^{2} \times 5[/tex]
[tex] = \frac{22}{7} \times 3 \times 3 \times 5[/tex]
[tex] = \frac{990}{7} [/tex][tex] = 141.428571[/tex] ( approximately )
[tex] = \boxed{ 141.43 \: \mathfrak { {ft}^{3}} }[/tex]
In a large company, 45% of the employees wear khaki pants on a daily basis. Which calculation finds the probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees
The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees is 0.18.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
In a large company, 45% of the employees wear khaki pants on a daily basis.
40% of employees wearing khaki pants in a random sample of 50 employees
So, 40% of 45% x 50
= [tex]0.40 \times 0.45 \times 50 \\ \\9[/tex]
The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees.
= 9 /50
= 0.18
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This is lesson 9.4 - special right triangles.
Please help me
Triangle ABC is an equilateral triangle. it is equiangular. Therefore, the value of x is 60 degrees.
What is an equilateral triangle?An equilateral triangle is a triangle that has all it sides and angles equal to each other.
An equilateral triangle is equiangular.
Therefore, the angles of an equilateral triangles are equal to 60 degree each.
Recall the sum of an angle of a triangle is 180 degrees.
Therefore, the value of angle x is 60 degrees.
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Graph f(x) = 4[x] +5.
a.
b.
X
C.
d.
r
16
Answer:
C
Step-by-step explanation:
whats the y intercept and rate of change ill give 20 pt please help me thank u
Answer:
y-intercept= (0,7) and rate of change=
Step-by-step explanation:
The y-intercept of a graph is the point on the graph where it intersects the y-axis or where x=0. In this case it is (0,7) so that is the y-intercept. The rate of change is equal to y2-y1 divided by x2-x1. Basically, just pick 2 random points on the line and subtract their y coordinates, then subtract their x-coordinates and divide the answers with each other. So, one point is (0,7) and another point is (2,4). Therefore, rate of change is 7-4 divided by 0-2. This gives us a rate of change of -3/2
Help oh my god give me the area of this shape I’m gonna cry
Answer:
96
Step-by-step explanation:
2 x 8 =16
8 x 7 = 56
3 x 8 = 24
24 + 56 = 80
80 + 16 = 96
Hi!
The area of the entire figure is 76 units squared.
NOTE: This question has two different shapes: a rectangle, and a triangle.
Rectangle Formula:
Length * Width = Area
[tex]LW=A[/tex]
Triangle Formula
(Base * Height) / 2 = Area
[tex]\cfrac{bh}{2}=A[/tex]
Let's first get the rectangle's area:
[tex]LW=A[/tex]
[tex]8*7=A[/tex]
[tex]56=A[/tex]
The area of the rectangle is 56.
Now, for the top triangle:
[tex]\cfrac{bh}{2} =A[/tex]
[tex]\cfrac{8*2}{2} =A[/tex]
[tex]8=A[/tex]
The area of the top triangle is 8.
Now, for the bottom triangle.
[tex]\cfrac{bh}{2} =A[/tex]
[tex]\cfrac{8*3}{2} =A[/tex]
[tex]12=A[/tex]
The area of the bottom triangle is 12.
Now, add them all together:
[tex]56+8+12=76[/tex]
What is the result when the number 44
is increased by 75%?
Answer:
77
Step-by-step explanation:
75% of 44 = 33
33 + 44 = 77
Answer:
77.
Step-by-step explanation:
75% of 44
= 3/4 * 44
= 33
33+44
= 77.
help me i need help.
Answer:
The value of a side = 5
Step-by-step explanation:
By using PGT theoram
H² = P² + B²
=> 13² = a² + 12²
=> 13² - 12² = a²
=> 169 -144 = a²
=> 25 = a²
=> √25 = a
=> 5 = a
Answer:
a = 5
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 12² = 13²
a² + 144 = 169 ( subtract 144 from both sides )
a² = 25 ( take square root of both sides )
a = [tex]\sqrt{25}[/tex] = 5
Factorise the following:
A. 4xy-16
B. xy+2xy-x
C. 2x²-18x+12
D. 5xy+20x-9y-36
=4(xy−4)
B. xy+2xy-x3xy−x
=x(3y−1)
C. 2x²-18x+122x²−18x+12
=2(x²−9x+6)
D. 5xy+20x-9y-365xy+20x−9y−36
=(y+4)(5x−9)