Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the dimensions of the hexagon are not given.
I will assume that:
[tex]b = 6[/tex] --- base length
[tex]h = 8[/tex] --- height
First, we calculate the height (a) of each triangle that makes the hexagonal base
The formula to use is:
[tex]a^2 = b^2 - (\frac{b}{2})^2[/tex]
[tex]a^2 = 6^2 - (\frac{6}{2})^2[/tex]
[tex]a^2 = 6^2 - (3)^2[/tex]
[tex]a^2 = 36 - 9[/tex]
[tex]a^2 = 27[/tex]
Take positive square roots
[tex]a = \sqrt{27[/tex]
Expand
[tex]a = \sqrt{9*3[/tex]
Split
[tex]a = \sqrt{9}*\sqrt3[/tex]
[tex]a = 3\sqrt3[/tex]
So, we have:
[tex]Area = \frac{1}{2}ap[/tex]
Where
[tex]a = 3\sqrt3[/tex]
[tex]p =perimeter[/tex]
[tex]p = 6 * b[/tex] ---- 6 represents the sides of the hexagon
[tex]p = 6 * 6[/tex]
[tex]p = 36[/tex]
[tex]B= \frac{1}{2}ap[/tex]
[tex]B= \frac{1}{2} * 3\sqrt 3 * 36[/tex]
[tex]B= 3\sqrt 3 *18[/tex]
[tex]B = 54\sqrt 3[/tex]
[tex]h = 8[/tex]
Lastly, the volume is:
[tex]V = \frac{1}{3}Bh[/tex]
So:
[tex]V = \frac{1}{3} * 54\sqrt3 * 8[/tex]
[tex]V = 18\sqrt3 * 8[/tex]
[tex]V = 144\sqrt3[/tex]
[tex]\frac{25}{24} x \frac{18}{35} =\\[/tex]
Answer:
1307/840
Step-by-step explanation:
Does anyone know how to solve this?
Answer:
H(22) = 54 + 22 = 76
Step-by-step explanation:
...............
Answer:
chug jug
Step-by-step explanation:
with you
A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?
Answer:
[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified
Step-by-step explanation:
In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.
If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...
[tex]\frac{5 *17}{40 * 20}[/tex] = [tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified
What is the lenght of CD in triangle ABC?
A. 8V2
B. 2V8
C. 2V3
D. 64V2
[tex]8\sqrt{2}[/tex]Step-by-step explanation:
What are the solutions of x2 + 6x – 16 = 0?
The 2 is a variable PLZZ GET IT RIGHT
Answer:
[tex]x=2,x=-8[/tex]
Step-by-step explanation:
[tex]x^{2} +6x-16=0\\x^{2} +8x-2x-16=0\\x(x+8)-2(x+8)=0\\x-2=0 ,x+8=0\\x=2,x=-8[/tex]
Solve 2x – 5 = 7?
What is the answer?
Answer:
x = 6
Step-by-step explanation:
Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
65°
Step-by-step explanation:
to find angles, use the inverse trig function (in this case, tan^-1)
tan^-1(5/12)
Answer:
65.4
Step-by-step explanation:
- 7th Grade work -
Pls just say if it's a, b, c, or d.
Answer:
We first need to solve the inequality so,
3 > j/-3 - 7
+7 +7
10 > j/-3
x-3 x-3
-30 > j
D is your answer.
It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.
Queremos repartir 5 quesos a partes iguales entre ocho personas ¿Qué fracción le corresponde a cada uno?
Answer:
5/8
Step-by-step explanation:
Se asume que los quesos son iguales.
Para repartirlos Ud., toma cada queso y lo divide en 8 partes iguales y entrega 1/8 de queso a cada quién. Si hace esa operación 5 veces ( ya que son 5 quesos) Ud., debera multiplicar la porcion 1/8 por 5. De tal manera que la respuesta es:
(1/8)* 5 = 5/8
please help! i’ve been stuck on this question for the longest.
Answer:
57%
Step-by-step explanation:
Answer:
I think the first one 57%
Step-by-step explanation:
hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤
HELP!!!!
I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?
Your answer will be 7 hope this helps
Answer:
Hi!
Question:I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?
Answer: 7
Explanation: If you add 7+7 you get 14 if you take one from other you will get 6 (7-1=6)
How many unit cones would you need to make rectangular prism that is 8 cubic units tall, 4 cubic units wide, and 6 cubic units long?
Answer:
192 unit³
Step-by-step explanation:
The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:
Height, h = 8 unit³
Width, w = 4 unit³
Length = 6 unit³
The volume of the rectangular Prism is given as :
Volume = Length * width * height
Volume = (6 * 4 * 8) unit³
Volume = 192 unit³
On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal distribution curve below that represents the data and answer the following questions.
What score is the 16th percentile?
==========================================================
According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.
In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.
Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79
Cut this in half and get (32%)/2 = 16%
16% of the population is in either tail.
16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.
The 16th percentile is the marker where 16% of the population is below that value.
Therefore, the 16th percentile is the value 65
16% of the class scored less than 65 on the test.
Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
Find the diameter of the object.
diameter: __ ft
Answer: 1.6
Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6
What are the next 3 terms of this pattern? 1056, 1088, 1120..
Answer:
1,152, 1,184, 1,216
Step-by-step explanation:
First, subtract. 1,088 - 1,056 = 32
Then, add.
1120 + 32 = 1,152
1,152 + 32 = 1,184
1,184 + 32 = 1,216
Lastly, have a nice day!
Answer:
The next three terms are 1152, 1184, 1216.
Step-by-step explanation:
The pattern of this term equation is to add by 32.
1056+ 32 = 1088
1088 + 32= 1120
1120 + 32 = 1152
1152+ 32 = 1184
1184 + 32 = 1216
Could I receive Brainliest please?!
cellus
Find the volume of the following
square pyramid.
110 cm
8 cm
8 cm
V = [?] cm3
Round to the nearest tenth.
Enter
Answer:
Step-by-step explanation:
Answer:213.3
Step-by-step explanation: 8x8 =64(the base)x10 (the height) x1/3
help this is due in a few minutes!!
Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes.
How long did he spend snowboarding?
Answer:
1 hour and 35 mins
Step-by-step explanation:
Please help with this cylinder
Answer:
x = 4
Step-by-step explanation:
Area of a parallelogram = base times height
Given area = 40
Given height = 4
Given = x + 6
Thus,
40 = 4 * (6 + x )
Step 1 distribute the 4
4 * 6 = 24
4 * x = 4x
we now have 40 = 24 + 4x
step 2 subtract 24 from each side
40 - 24 = 16
24 - 24 cancels out
now we have 16 = 4x
step 3 divide each side by 4
4x / 4 = x
16 / 4 = 4
we're left with x = 4
To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.
(x + 6) * 4
* substitute 4 for x *
(4 + 6) * 4
4 + 6 = 10
10 * 4 = 40
40 = 40
Hence x = 4
Answer:
x = 4
Step-by-step explanation:
X + 6 feet
4 feets
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answer:
5/16 pounds
Step-by-step explanation:
The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.
Answer:
0.3125 pounds
Step-by-step explanation:
Each wedge of cheese weights 0.1325 pounds
someone help me on this one math problem pls !!!
Answer:
4/9
Step-by-step explanation:
hi
Help meeeeeeee pleaseeeeeeeeeee
B is the answer pls mark brainliest
PLS SOMEONE NEEDS TO HELP MEE
If y= x³-1 find the value of y if x= -2
Answer:
Y=19 Hope this helps!!!!
Step-by-step explanation:
Jello someone please help me
No links or files please
Answer:
3. 43 4. 84 5. 522
Step-by-step explanation:
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
B. between $135 and $275?
C. more than $240?
Answer:
Step-by-step explanation:
Today's calculators have statistical functions built in.
A. Here we use:
normalcdf(10,310,205,35), WHICH returns 0.999.
B. normalcdf(135,275, 205,35) = 0.954
C. normalcdf(240, 10000, 205, 35) = 0.159
Divide $1800 in the ratio 7:5
Answer:
7+5 =12
1800/12=150
So 7x150 =1050
And 5x150= 750 so
1050:750
Simplify. 24 7/12 - 4 3/8
20 4/4
20 5/24
20 4/96
5/24
Answer:
20 5/24
Step-by-step explanation:
HELP ASAP!! WILL GIVE BRAIN THING AND A THANKS!
Answer:
42
Step-by-step explanation:
that is the answer i got