Answer:
Step-by-step explanation:
Angle ACB is congruent to Angle DCE
Reason 4: SAS- Side Angle Side
Angle ACB is congruent to Angle DCE
Reason 4: SAS- Side Angle Side is the correct answer to the question
If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?
Answer:
3 of the pyramids
Step-by-step explanation:
Given:
Hexagonal Prism
Hexagonal based pyramid
Required
How many of the pyramid will fill up the prism
To do this, we start by calculating the volumes of both shapes.
Let V1 be the volume of the hexagonal prism
[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
Let V2 be the volume of the hexagonal based pyramid
[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2
[tex]Number = \frac{V_1}{V_2}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]
Convert division to multiplication
[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]
[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]
[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]
[tex]Number = 3[/tex]
Mr. Shahoian needs to replace the 166.25 ft of fencing around the flower beds in his backyard. The fencing is sold in lengths of 19 ft each. How many pieces of fencing will Mr. Shahoian need to purchase to have enough for the job needed?
Answer: Mr. Shahoian need to purchase 9 pieces of fencing.
Step-by-step explanation:
Given: Length of fencing around the flower beds in his backyard = 166.25 ft
The fencing is sold in lengths of 19 ft each.
Number of pieces of fencing = (Length of fencing ) ÷ (19)
i.e. Number of pieces of fencing = 166.25 ÷ 19
= 8.75 ≈ 9
Hence, Mr. Shahoian need to purchase 9 pieces of fencing.
A checkbook balance sheet shows an initial balance for the month of $300. During the month, checks were written in the amounts of $25, $82, $213, and $97. Deposits were made into the account in the amounts of $84 and $116. What was the balance at the end of the month?
Answer:
your answer is 200 if you add 84 and 116 but is you add 25 82 213 and 97 it will be 417
Step-by-step explanation:
The balance at the end of the month is $83.
Checkbook balance = $300
Amount withdrawn = $25 + 82 + $213 + $97 = $417
Amount deposited = $84 + $116 = $200
Therefore, the balance at the month end will be:
= $300 - $417 + 200
= $83
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The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
What does the value 3 mean in this function?
A. On the first day, 3 leaves fall.
OB. On the second day, 3 leaves fall.
C. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the first day.
D. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the previous day.
What does the value 2 mean in this function?
A. On the first day, 2 leaves fall.
B. On the second day, 2 leaves fall
C. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the first day.
D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
[tex]f(n) = 3(2)^n[/tex]
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(0) = 3(2)^0[/tex]
[tex]f(0) = 3*1[/tex]
[tex]f(0) = 3[/tex]
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
[tex]f(0) = 3[/tex]
Take n = 1
Substitute 1 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(1) = 3(2)^1[/tex]
[tex]f(1) = 3*2[/tex]
[tex]f(1) = 6[/tex]
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
How do you find the vertex
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
3x + 3 = 129 what color
Answer:
yellow
Step-by-step explanation:
the answers 42
do 129-3 then divide 127/3 to get x
What is the surface area of this shape?
1 cm
5 cm
4 cm
2 cm
6 cm
3 cm
which fraction is written in simplest form?
Answer:
C. and B.
Step-by-step explanation:
Hope this helps:>
Answer:
5/12
Step-by-step explanation:
11/22 becomes 1/2
18/24 becomes 3/4
5/15 becomes 1/3
FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!
If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?
Answer:
a = 3
b = 5
c = -8
abc = -120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
sorry just looked at the answer below *HAXZ*:)
At a hockey game, a vender sold a combined total of 187 sodas and hot dogs. The number of sodas sold was 57 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Graph this function:
y = 3x + 4
Answer:
(0,−4)
Step-by-step explanation:
a 91.5 kg football player running east at 2.73 m/s tackles a 63.5 kg player running west at 3.09 m/s. what is their velocity afterward?
Answer:
2.88m/s
Step-by-step explanation:
By using the law of conservation of momentum
Initial momentum = final momentum
v = is their combined velocity afterwards
Solving equation (1) for v
V = 2.88 m/s
Therefore the velocity afterward is 2.88 m/s.
Answer:
0.348
Step-by-step explanation:
acellus
me ayudan por favor gracias
Answer:
49/4
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
I need help fast I appreciate the help
Answer:
3/5
Step-by-step explanation:
Sin is opp/hyp so it would be 30/50 in lowest form it would become 3/5
Answer:
c. 3/5
Sin C = Perpendicular/ Hypotenuse
= 30 / 50
= 3/5
Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.
Answer:
$31.00
Step-by-step explanation:
20+10=30=1 (tax)
*PLEASE ANSWER!! ITS CONFUSING*
Tickets to the play on Saturday were $40.00. On Sunday they went on sale for 15% off. How much were the discounted tickets?
a.) $32.00 a ticket
b.) $39.00 a ticket
c.) $34.00 a ticket
Answer:
C
Step-by-step explanation:
40× 15 out of 100 =6
40-6=34
Answer:
c.) $34.00 a ticket
Step-by-step explanation:
Since you're trying to figure out how much a discounted ticket is you have to take the 15% off. So 15% of 40 is 6. Now take the 6 off of 40 (40-6) you will get 34. So the answer is $34.
I hope this helps!
Solve this system equation y=4x+2, x=3
Answer:
y=14
Step-by-step explanation:
Put the x value where it belongs
y=4(3)+2 Now do the math ( id.k what to say here for the problem other than that lol)
y=12+2
y=14
Answer:
(3, 14).
Step-by-step explanation:
Plug x = 3 into the first equation:
y = 4(3) + 2
y = 12 + 2
y = 14
So x = 3, y = 14.
Using the Parallelogram Side Theorem Parallelogram A B C D is shown. Sides A B and D C are parallel. The length of A B is 4 q minus 8 and the length of D C is q + 4. What is the length of side AB of parallelogram ABCD? units
Answer: The length of AB = 8 units
Step-by-step explanation:
Given: In parallelogram ABCD, Sides A B and D C are parallel.
The length of AB is 4q minus 8 and the length of DC is q + 4.
Since opposite sides of parallelogram is parallel and equal.
So [tex]4q-8=q+4[/tex]
[tex]\Rightarrow\ 4q-q=4+8\\\\\Rightarrow\ 3q=12\\\\\Rightarrow\ q=4[/tex]
Length of AB = 4q-8=4(4)-8=16-8=8 units
Hnece, the length of AB = 8 units
PLEASE WILL GIVE BRAINLEST \
Answer:
First statement is wrong
Step-by-step explanation:
Forgive me if I am wrong
Answer:
The first 1 is false
Step-by-step explanation:
Cuz -1 1/5 = -6/5 = -1.2
and -1.2 is bigger than -1.5 not smaller
2, 1.7 > 1.5 true
3, 3/4 = 0.75. 7/8 = 0.875
so 7/8 > 3/4
4, 1/100 is less than 1/10
can you help me solve this
The equation does not fit the table
The whittendale family purchases a new refrigerator on a no interest for one year plan. The cost is $1,385. There is no down payment If they make a monthly payment of x dollars until the last month, express their last month's payment algebraically.
Evaluate the expression 9z – 4 for z = 3.
Answer:
27 is the final answer
Step-by-step explanation:
9z-4=
9(3)-4=
27-4=
L2.10.2 Quir. Bisectors and Midsegments
The Dragram snOWS ARC When termes des point
M
O A. Circumcenter
O B. Incenter
O c. Centrold
O d. Orthocenter
please help im struggling im not very good at math because im an overthinker
Answer:
so.....how can i help you?
Step-by-step explanation:
Which of these is the algebraic expression for "5 less than 6 times some number?" (1 point)
6t − 5
5t − 6
5 − 6t
6 − 5t
7.
(06.03 LC)
What is the constant term in the expression 10xy + 9x2y + 8x + 7? (1 point)
7
8
9
10
Answer:
6t-5
x should be the constant term. just guess
Answer:
I think the answer is 6t-5 I don't really know.
Step-by-step explanation:
what is 90divided by 5
Help please ill give 20 points
Answer:
15
Step-by-step explanation:
Answer:
4r^12 t^2
Step-by-step explanation:
Use the exponants : ( 8r^6t^3 )/4t^2
simplifie :( 2r^6t^3 )/t^2
Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2
Identify the graph containing the point (1,−5) .
Answer:
we need a picture
Step-by-step explanation:
simplify fully 4x-8x^2/12x-6
Answer:
- [tex]\frac{2}{3}[/tex] x
Step-by-step explanation:
Given
[tex]\frac{4x-8x^2}{12x-6}[/tex] ← factorise numerator and denominator
= [tex]\frac{4x(1-2x)}{6(2x-1)}[/tex] ← factor out - 1 from (1 - 2x) on numerator
= [tex]\frac{-4x(2x-1)}{6(2x-1)}[/tex] ← cancel the common factor (2x - 1)
= [tex]\frac{-4x}{6}[/tex] ← cancel 4 and 6 by 2
= - [tex]\frac{2}{3}[/tex] x
Simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]
Given the expression, [tex]\frac{4x-8x^2}{12x-6}[/tex], we are required to simplify the expression as follows:
Step 1: Factorize the denominator and the numerator.
[tex]\frac{4x-8x^2}{12x-6}\\\\=\frac{(1 - 2x)4x}{(2x - 1)6}[/tex]
Step 2: Rewrite the fraction by factoring out -1 from the numerator.
[tex]=\frac{(2x - 1)-4x}{(2x - 1)6}[/tex]
Step 3: Divide the numerator and denominator by (2x - 1) respectively.
[tex]=\frac{-4x}{6}[/tex]
Step 4: Divide the numerator and denominator by 2 respectively.
[tex]=\frac{-2x}{3}[/tex]
Therefore, simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]
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Between 9:00 a.m. and 10:20 a.m., 18,000 visitors
entered the Family Fun Amusement Park. Between
9:00 a.m. and 10:20 a.m., an average of how many
visitors per minute entered the park?
Answer: 225
Step-by-step explanation: 18,000 divided by 80 minutes wich is 1 hour and 20 minutes is 225
The average of visitors entry in park per minute is 225.
What is average?A number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
Given,
Total number of visitors entered in park Between 9:00 a.m. and 10:20 a.m. = 18000
There is total of 80 minutes Between 9:00 a.m. and 10:20 a.m.
Average of visitors entry in park per minute = [tex]\frac{18000}{80}[/tex]
= 225
Hence, average of visitors entry in park per minute is 225.
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