Answer:
the formula for the volume of a square pyramid is V=a^2*h/3
so if we just put in the data
12^2*10/3
144*10/3
480
so the answer is B
Hope This Helps!!!
3. Write y = x2 - 4x + 6 in vertex form.
A. y = (x - 2)2 + 2
B. y = (x + 2)2 - 2
C. y = (x + 2)2 - 4
D. y = (x - 2)2 + 4
Answer:
A.
[tex]y = (x - 2 {)}^{2} + 2[/tex]
Step-by-step explanation:
[tex]y = {x}^{2} - 4x + 6[/tex]
[tex] = y + 4 = {x}^{2} - 4x + 4 + 6[/tex]
[tex] = y + 4 = (x - 2 {)}^{2} + 6[/tex]
[tex] = y = (x - 2 {)}^{2} + 6 - 4[/tex]
[tex] = y = (x - 2 {)}^{2} + 2[/tex]
What is the smallest 3-digit palindrome that is divisible by both 3 and 4?
Answer:
252
Step-by-step explanation:
To be divisible by 3, it's digits have to add to a number that is a multiple of 3.
To be divisible by 4 its last 2 digits have to be divisible by 3.
So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.
212 that's divisible by 4 but not 3
222 divisible by 3 but not 4
232 divisible by 4 but not 3
242 not divisible by either one.
252 I think this might be your answer
The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4
Help ASAP I’ll mark you as brainlister
Answer: Try 2. This is my best guess
what is the area of a rectangle with L= 6.8 cm and W= 4.5 cm
Answer:
30.6 cm
Step-by-step explanation:
length times width gives you the area of a normal 2d triangle
What is the length of segment FH?
Answer:
FH ≈ 15.20
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = (part of hypotenuse below it ) × (whole hypotenuse )
FH² = 11 × (11 + 10) = 11 × 21 = 231 ( take the square root of both sides )
FH = [tex]\sqrt{231}[/tex] ≈ 15.20 ( to 2 dec. places )
the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.
Answer:
Percentage profit = 11.3%
Step-by-step explanation:
Given the following data;
Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430To calculate the profit percentage on the article;
First of all, we would determine the value-added (vat) tax levy;
Vat levy = 0.13 * 10000
Vat levy = Rs. 1300
Profit = selling price - cost price
Profit = 12430 - 10000
Profit = 2430
Profit after vat;
Profit after vat = Profit - Vat levy
Profit after vat = 2430 - 1300
Profit after vat = 1130
Next, we would calculate the profit percentage on the article;
[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]
Substituting the values into the formula, we have;
[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]
[tex] Percentage \; profit = \frac {113000}{10000} [/tex]
Percentage profit = 11.3%
A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk
each day. They give 24 litres milk in six days. How many cows are there in the herd?
Answer:
4 divided by one third then you take the answer and divide it with 24
hope i could help
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
216
Step-by-step explanation:
Volume of a rectangular prism = area of base * depth
Area of base: 72
Depth: 3
Volume = 72 * 3 = 216
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9 combinations 1 - 1 - 2 ⇒ 2*3 = 6 combinations 1 - 2 - 1 ⇒ 2*3 = 6 combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 9*4 + 6*3 = 55Can someone help me pls
Answer:
No solution
Step-by-step explanation:
A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.
Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect
To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.
For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get
3x-2=y
3x+3=y
Since the x and y values must be the same, we can say that
3x-2=3x+3
subtract 3x from both sides
-2 = 3
Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations
ok so this... is confusing the hell outta me any help?
Answer:
y = 24
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
ABC = 60
We know 2x-4 = 60
2x -4+4 = 60+4
2x = 64
x = 64/2 = 32
A = 3x = 3(32) = 962x-4 = 60
B = 60
Using the first equation
96+ 60 +y = 180
156 +y =180
y = 180-156
y = 24
PLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
a=7.14yd
Step-by-step explanation:
process same as in above question
based on the graph the coordinates for do1 of x
Answer:
(4,0)
Step-by-step explanation:
1. X= (4,0) the coordinates of x
Find the measurement of the diagonal indicated in the following parallelogram
Answer:
If KF = 19, then KM = 38.
Step-by-step explanation:
The point that intersects the two diagonals of a symmetrical quadrilateral marks the halfway point of the diagonals. Since we know that KF = 19 and that 2(KF) = KM, as KM is a diagonal of this parallelogram, we just do the following:
2(KF) = KM
2(19) = KM
38 = KM
Express 2³a²b in factor form
The given expression can be written in factor form as 4a(2ab)
Given:
2³a²b to be expressed in factor form
To express the above given expression in factor form follow the steps below;
expand the expression = 2³a²b = 2 x 2 x 2 x a x a x b)factorize by using the common factor = 4a(2ab)Finally, the given expression can be written in factor form as 4a(2ab)
To learn more about factorization, please visit: https://brainly.com/question/11909547
A 100m mast is supported by six cables in two sets of three cables. They are anchored to the ground at an equal distance from the mast. The top set of three cables is attached at a point 20m below the top of the mast. Each cable in the lower set of three cables is 60m long and is attached at a height of 30m above the ground. If all the cables have to be replaced, find the total length of cable required?
Answer:
60
would be right
Step-by-step explanation:
Total length of cable required is 466.18 m.
What is Pythagoras theorem?Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
According to the question
A 100m mast is supported by six cables in two sets of three cables.
They are anchored to the ground at an equal distance from the mast.
The top set of three cables is attached at a point 20m below the top of the mast.
Each cable in the lower set of three cables is 60m long and is attached at a height of 30m above the ground.
One set of guy wires (1 upper and one lower have two right triangles which can solve
The lower right triangle
a = distance from the pole to guy tie point
b = 30 m
c = 60 m the lower guy wire (the hypotenuse)
Using Pythagoras theorem
[tex]a^{2} +30^{2} =60^{2}[/tex]
⇒ [tex]a^{2} = 3600 - 900[/tex]
⇒ [tex]a^{2} =2700[/tex]
⇒ [tex]a = \sqrt{2700}[/tex]
⇒ [tex]a = 51.96[/tex] m from the pole to the tie point.
The other triangle using upper guy wire as the hypotenuse (h) tied to a point on the pole 80 m from the ground (20 m from the top) and also 50m from the tie point.
Using Pythagoras theorem
[tex]h^{2} =(51.96)^{2} +80^{2}[/tex]
⇒ [tex]h^{2}=2700+6400[/tex]
⇒ [tex]h^{2}=9100[/tex]
⇒ [tex]h = \sqrt{9100}[/tex]
⇒ [tex]h = 95.39[/tex] m , the length of the upper guy wire
For one set of guy wires (1 upper & 1 lower):
= 95.39 + 60
= 155.39 m
For 3 sets of guy wires :
= 3(155.39)
= 466.18 m of wire required
Hence, total length of cable required is 466.18 m.
Find out more information about Pythagoras theorem here
https://brainly.com/question/343682
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What is the slope of the line with these points (5, -3) (6, -1) (7, 1)
Answer:
4/2
Step-by-step explanation:
Rise/Run
4/2
Answer:
2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-3) / 6 - 5
= 2/1
= 2
If a man wishes to glue 5 lengths of board each 2'3" long, what is the total length?
(A) 10'
(B) 10'3"
(C) 11'
(D) 11'3"
(E) 12
Answer:
The answer is D: 11'3"
Step-by-step explanation:
What's the slope (-3,6),(-3,4)
Answer:
undefined
Step-by-step explanation:
Here,
x1 = - 3
y1 = 6
x2 = - 3
y2 = 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 4 - 6 ) / ( - 3 - ( - 3 )
= - 2 / 0
= undefined
Answer:
The slope is undefined.
Step-by-step explanation:
slope(m):
y2-y1/x2-x1
4-6 / (-3)-(-3)
-2 / 0
undefined ∞
2. Determine the measure of the angles indicated by letters. Justify your answers with the
properties or theorems you used.
Answer:
a = 50°
b = 130°
c = 50°
d = 50°
e = 130°
f = 130°
g = 50°
Answered by GAUTHMATH
What is 3.7 as a mixed number
Help!!
Slove for x.
A.11
B.9
C.13
D.14
Answer:
x = 11
Step-by-step explanation:
Given 2 secants to a circle from an external point , then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
7(7 + x) = 6(6 + 15) ← distribute left side
49 + 7x = 6 × 21 = 126 ( subtract 49 from both sides )
7x = 77 ( divide both sides by 7 )
x = 11
4. Find f(x) - g(x)
4 options to chose from
Answer:
Last option
-10x³ + 2x - 8
is the answer
HOPE IT HELPS YOU
Amanda's sewing a flag for a competition. The dimensions of her flag are shown below. Approximately, how many square yards of black material will Amanda need to make the flag?
To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.
Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.
Assume the shape of the black material is a rectangle.
The area will be calculated as:
[tex]Area = Length * Width[/tex]
Take for instance;
[tex]Length = 4yd;\ Width = 5yd[/tex]
[tex]Area = 4yd * 5yd[/tex]
[tex]Area = 20yd^2[/tex]
Assume the shape of the black material is a square.
The area will be calculated as:
[tex]Area =Length^2[/tex]
Take for instance;
[tex]Length = 4yd[/tex]
[tex]Area = (4yd)^2[/tex]
[tex]Area = 16yd^2[/tex]
Assume the shape of the black material is a triangle
The area will be calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
Take for instance;
[tex]Base = 4yd;\ Height = 5yd[/tex]
[tex]Area = 0.5 * 4yd * 5yd[/tex]
[tex]Area =10yd^2[/tex]
So, in general.
You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.
Read more about areas at:
https://brainly.com/question/24251781
What is an example in your house of a point ?
Answer:
Step-by-step explanation:
Nothing. A point is dimensionless. Ugh what an awful LOL.
How about the tip of a candle that has never been lit?
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
please help me with these equations and please show the steps
Answer:
I have explained the answer in detailed steps for you. If you do not understand any steps, please comment below, and I will help you out.
Write the equation of the graph shown below in factored form?
Answer:
1st option
Step-by-step explanation:
If x = a is a zero of f(x) then (x - a) is a factor of f(x)
Here the zeros ( where the graph crosses the x- axis ) are
x = - 2, x = 1, x = 3 , then the corresponding factors are
(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)
f(x) is then the product of the factors , that is
f(x) = (x + 2)(x - 1)(x - 3)
A man shoots with a bow. There is a 70% chance that he hits with the first shot. If he hits, he gets more confidence, and then there is an 80% chance that he hits with other shots. If he misses with the first shot, his confidence drops, and then there is only a 60% chance that he hits with other shots. Per shoots 2 arrows. Find the probability that he gets 2 hits, 1 hit and no hits.
Answer:
2 hits: 56%
1 hit : 32%
0 hits: 12%
Step-by-step explanation:
2 hits: 0.7 * 0.8
1 hit : (.7*.2 + .3*.6) - .7*.8
0 hits: .3 * .4
Which inequality is not true?
- 7/8 < -0.60
- 7/8 > -0.50
-7/8 > - 15/16
-7/8 < - 1/4
Answer:
b -7/8 > -0.50
Step-by-step explanation:
is your answer
Answer:
- 7/8 > -0.50
Step-by-step explanation:
-7/8 =-.875
Change to get decimals with decimals or fractions to have a common denominator
-.875 < -0.60 true
-.875 > -0.50 false
-14/16 > - 15/16 true
-7/8 < - 2/8true