1.) 3x
2.) area
3.) six
4.) 3/2
:)
Answer:
The height of the pyramid can be represented as
3x
The
area
of an equilateral triangle with length
The area of the hexagon base is
six
The volume of the pyramid is
3/2
Step-by-step explanation:
Find the measure of the angle between the vectors 〈6, –3, 1〉 and 〈8, 9, –11〉
A:90°
B:30°
C:84.8°
D:102.6°
Answer:
Option C.
Step-by-step explanation:
We know that for two vectors:
A = 〈a₁, a₂, a₃ 〉and B =〈b₁, b₂, b₃〉.
The dot product between A and B is:
A.B = IAI*IBI*cos(θ)
Where θ is the angle between the vectors.
And the dot product can be also written as:
A.B = a₁*b₁ + a₂*b₂ + a₃*b₃
With that, we can find the angle between our vectors.
In this case, the vectors are:
A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉
The modules are:
IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78
IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31
And the dot product between A and B is:
A.B = 6*8 + (-3)*9 + 1*(-11) = 10
Then we have that:
10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)
10/(6.78*16.31) = cos(θ)
Now remember the inverse cosine function, Acos(x), this function has the property:
Acos(cos(x)) = x
If we apply this to both sides, we get:
Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°
The correct option is C.
Given P(A) 0.3, P(B) = 0.43 and P(ANB) = 0.249, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.
Answer:
0.481
Step-by-step explanation:
P(A U B) = P(A) + P(B) - P(A∩B)
= 0.3 + 0.43 - 0.249
= 0.73 - 0.249
= 0.481
A redwood tree can grow 12 feet in 2 years. How many feet will it grow in 3 years?
Answer:
18 feet
Step-by-step explanation:
12/2 is 6
6*3= 18
Harriet bought 3 gal. 2qt, of a paint for her living room. She used 2 gal, 3 qt. How many paint is left over?
Answer:
3 qt
Step-by-step explanation:
Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.
1 gal = 4 qt
Initial value = 3 gal 2 qt = 14 qt
Change = 2 gal 3 qt = 11 qt
14 qt - 11 qt = 3 qt
Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés
Answer:
the rate of interest is 11.7453%
Step-by-step explanation:
Given that
The present value is € 45,000
The Future value is €52,500
Time period 1 year, 4 months and 20 days i.e. 1.38809 years
We need to find out the interest rate
Here we apply the RATE formula in the spreadsheet
The formula is
= RATE(NPER;PMT;-PV;FV;TYPE)
The PMT would be zero
After applying the above formula, the rate of interest is 11.7453%
devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18mm. to get the wax for the candle, devin melts blocks of wax that are each 8 mm by 6mm by 5mm. how many of the wax cubes will devin need in order to make the candle? show all formulas and calculations
Answer:
(1/3)(9*9*10)=270cm^3 pyramid volume
270/(4*4*4)=4.22cubes
round
5 wax cubes
Find the volume of the composite figure below.
Answer:
Volume of composit figure= 4834.14 cm^3
Step-by-step explanation:
here's your solution
=> Radius of hemisphere = 9 cm
==> volume of hemisphere = 2/3πr^3
==> volume of hemisphere = 2/3*22/7* 9^3
==> volume = 1526.04 cm^3
=> Radius of cylinder = 9 cm
=> Height of cylinder = 13 cm
==> volume of cylinder = πr^2h
==> volume of cylinder = 22/7*9^2*13
==> volume of cylinder = 3,308.1 cm^3
Volume of composit figure = 1526.04 + 3308.1
= 4834.14 cm^3
hope it helps
Help ME DUE in 10 mins WILL GIVE BRAINIEST IF HELP!!! SHOULD BE EASY FOR SOME
Answer:
-9n - 3
Step-by-step explanation:
the greatest common factor of 9w2 and 10w4.
Answer:
9 and 2: 1
10 and 4: 2
Step-by-step explanation:
9: 1, 3, 9
2: 1, 2
Answer: 1
10: 1, 2, 5, 10
4: 1, 2, 4
Answer: 2
what type of object is pictured below?
Answer: segment
Step-by-step explanation:
Answer:
B. Segment
Step-by-step explanation:
PLS, I NEED HELP ASAP!!
Answer:
3x+18
Step-by-step explanation:
3 times x
3 times 6
3x
18
3x+18
Selina surveyed 150 people to find out which of five sports they prefer to watch TV on. The results of the survey are shown in the table.
If you were to randomly choose one of the people Selina surveyed, which statement would be true about that person?
Answer:
C
Step-by-step explanation:
They would be 3x more likely to choose football over tennis, since tennis is 13 and football is 39
39/3=13
Final answer is C
plssss helppp 29 REWARD BRAINLIEST
Answer: 1. -5 because what you do on the left you do on the right
2. i believe it’s a disjuction bc its true if at least one of the statements that form it is true.
Pslss helpppp (any diffrent answer will be reported)
Witch equation is true when the value of x is -12?
A:1/2x + 22 = 10
B:15 - 1/2x = 21
C:11 - 2x = 17
D:3x - 19 = -17
Answer:
please the answer is D
I'm very interested in the question
Name two pairs of complementary angles
Answer:
AFB + BAF and CED + CDE
Step-by-step explanation:
complementary angles are two angles that add up to 90°
62 and 28 add up to 90
50 and 40 add up to 90
What is the volume of the solid figure?
Solid is made up of 2 cuboids. First cuboid has length as 15 in., height as 5 in. and width as 5 in. Second cuboid has length as 5 in., height as 10 in. and width as 5 in. HELP ASAP I HAVE 1- MINUTES LEFT!!!
Answer:
The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid
The volume of the solid figure = 15×5×5 + 5×5×10
Or, The volume of the solid figure = 375 + 250
Or, The volume of the solid figure = 625 inch³
Therefore, the volume of the solid figure = 625 inch³
Step-by-step explanation:
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pls help me ! (Links=report)
Answer:
WHeres the questionnn???????
Step-by-step explanation:
Can someone please help me
Answer:
24
Step-by-step explanation:
In a piggy bank, the number of nickles is 8 more than half the number of quarters. The value of the coins is $21.85. Determine the number of nickels.
Answer:
The number of nickels is 47
Step-by-step explanation:
1 nickel is 5 cents while 1 quarter is 25 cents
let the number of nickels be n and the number of quarters be q
From the question;
the number of nickels n is 8 more than half the number of quarters (q/2)
n = q/2 + 8
(n-8) = q/2
q = 2(n-8) = 2n - 16 ••••(i)
let us convert $21.85 to cents
there are 100 cents in $1
Thus; $21.85 will be 21.85 * 100 = 2185 cents
1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents
1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents
The addition of both will give 2185 cents
Thus;
5n + 25q = 2185 ••••••(ii)
Substitute equation i into ii
5n + 25(2n-16) = 2185
5n + 50n - 400 = 2185
55n = 2185 + 400
55n = 2,585
n = 2,585/55
n = 47 nickels
The students in two 7th grade classes were asked, "How many text messages did they send over the past weekend?" The data was collected and a dot plot was created for each class. For what values do class A's distribution and class B's distribution overlap?
Answer:
2, 3, 4, and 5
Step-by-step explanation:
Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.
Answer:
2,3,4,5
Step-by-step explanation:
Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.
I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?
Answer:
8.3% probability
Step-by-step explanation:
(3) YELLOW ⇒ [tex]\frac{3}{12}[/tex] ⇒ 25%
(5) BLUE ⇒ [tex]\frac{5}{12}[/tex] ⇒ 41.6%
(4) RED ⇒ [tex]\frac{4}{12}[/tex] ⇒ 33.3%
║(12) IN TOTAL
[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] = 8.3%
PROBABILITY OF (1) RED, AND (1) YELLOW ⇒ 8.3% probability
can i get some help pls
Answer:
36
Step-by-step explanation:
3 % of Americans are vegans. If you ask a random person whether he or she is vegan, what is the probability that the person is NOT a vegan?
Which choice gives the solution of this inequality?
3t + 7 < 28
Answer:7
Step-by-step explanation:
t < 7 gives the solution of inequality 3t + 7 < 28
What is an equality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given inequality
3t + 7 < 28
⇒ 3t < 28 - 7
⇒ 3t < 21
⇒ t < [tex]\frac{21}{3}[/tex]
⇒ t < 7
Find out more information about inequality here
https://brainly.com/question/20383699
#SPJ2
Find the Area of the trapezoid.
A. 56
B. 28
C. 49
D. 35
Answer: b
Step-by-step explanation:
Which mapping diagram represents a function ? Would it be D?
Answer:
D
Step-by-step explanation:
Mathematically , for us to have a function, no 2 y values must have a single x value
Although, 2 x-values can have a single y value
The y values called the output values are listed on the right
The x values called the input values are listed on the left
So out of the options, with the given definition above, the one that represents a function is the option D
x + y = 7
5x - 2y = -7
Answer:
x=1 y=6
Step-by-step explanation:
make equation 3 from equation 1
substitute equation 3 from 2
find x or y from equation 3
Find the lateral surface area of the triangular prism shown below.
Answer:
my classmates answer is in the11cm dawStep-by-step explanation:
yan Ang answer ng classmate koPLEASE NEED HELP RIGHT NOW
An MP3 player has 60 songs stored on it.
Of the songs, 21 are rock, 9 are rap, 18 are dance, and 12
are country.
If songs are played randomly, find the probability a rock song is played.
Answer:
21/60 (simplified = 7/20)
Step-by-step explanation: