Answers
Answer:
[tex]\large\boxed{V=\dfrac{256\sqrt3}{3}\ cm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a square pyramid:
[tex]V=\dfrac{1}{3}(b^2)(H)[/tex]
b - edge of a base
H - height
We have b = 8cm and the triangle 90 - 60 - 30. The sides of that triangle are in ptoportion 1 : √3 : 2 (look at the picture).
From the picture we have
[tex]a=\dfrac{b}{2}\to a=\dfrac{8}{2}\ cm=4\ cm[/tex]
Therefore
[tex]H=a\sqrt3\to H=4\sqrt3\ cm[/tex]
Substitute:
[tex]V=\dfrac{1}{3}(8^2)(4\sqrt3)=\dfrac{1}{3}(64)(4\sqrt3)=\dfrac{256\sqrt3}{3}\ cm^3[/tex]
To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.
Related Questions
The table below shows the price for different numbers of notebook:
Number of Notebooks Price (in $)
2 12
3 18
4
5 30
What price should 4 notebooks cost if the relationship represented is proportional?
Please HELPPP!! I WILL GIVE BRANLIEST!!!!
Answers
12/2 =6 $ each
So to check if its true the 3notebooksx $6 dollars each should =$18 for 3 notebooks
5 notebooks at $6 each = $30 for 5 notebooks
so What is 4notebooks x$6 each ? =4x6 = $24 for 4 notebooks
The cost of 4 notebooks should be 24.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
Price of 2 notebooks = $12
Price of 3 notebooks = $18
And the price of 5 notebooks = $30
To determine the price of 4 notebooks,
First find the price of 1 notebook = 12 / 2 = 6
The price of 4 notebooks = 6 x 4 = 24
The required price of 4 notebooks is $24.
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If h = 24 units and r = 8 units, what is the volume of the cone shown above?
Use 3.14 for .
Answers
Answer: 1607.68units^3
Step-by-step explanation:
Answer:
1607.68
Step-by-step explanation:
Find the mean of the set of numbers {-9,-8,4,-1}
Answers
Answer:
-3.5
Step-by-step explanation:
Remember that mean is the average.
Add all 4 numbers together and divide them by 4.
-9 + -8 + 4 + -1 = -14
-14/4 = -3.5
A cylinder has a radius of 10 M and a height of 8 AM what is the exact volume of the cylinder
Answers
[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill[/tex]
Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x? Enter your answer in the box.
Answers
Step-by-step explanation:
Complementary means the total is 90 degrees.
So 90=x+3x+10
90=4x+10
80=4x
x=20 degrees
Answer:
x=20 degrees
hope this helped! :)
In how many ways committee of 8 people can be chosen out of 10 men and 6 women if there needs to be at least 5 women?
Answers
Answer:
765
Step-by-step explanation:
Given in the question,
number of people to be choose with at least 5 women in it = 8
There are 2 ways to choose 8 members
1)
5 women
(6C5)(10C3)
6x120
720
2)
6 women
(6C6)(10C2)
1x45
45
Our final answer is 720 + 45 = 765 ways
Formula to calculate
nCr = n! / r!(n-r)!
The selection of members of the committee is an illustration of combination.
The number of ways of selection is 765
The given parameters are:
[tex]\mathbf{Men = 10}[/tex]
[tex]\mathbf{Women = 6}[/tex]
At least 5 women means that:
There are 5 women and 1 man in the committee orThere are 6 women and no man in the committeeSo, the possible selection is:
[tex]\mathbf{Selection = ^6C_5 \times ^{10}C_3 + ^6C_6 \times ^{10}C_2}[/tex]
Apply combination formula
[tex]\mathbf{Selection = \frac{6!}{5!1!} \times \frac{10!}{7!3!} + \frac{6!}{6!0!} \times \frac{10!}{8!2!}}[/tex]
[tex]\mathbf{Selection = 6 \times 120 + 1 \times 45}[/tex]
[tex]\mathbf{Selection = 720 + 45}[/tex]
[tex]\mathbf{Selection = 765}[/tex]
Hence, the number of ways of selection is 765
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What is the area of this figure
Answers
Answer:
58.6
Step-by-step explanation:
To find the area of the figure by splitting it into two shapes - a trapezoid and a rectangle.
The area of a rectangle is A = b*h where b = 8 and h = 4.
So the area is A = 8*4 = 32
The area of a trapezoid is A = 1/2 (a+b)h where a = 8 and b = 5.3 and h = 4.
So the area is A = 1/2(8+5.3)*4 = 1/2(13.3)(4) = 26.6.
The area of the whole figure is these two areas added together.
32 + 26.6 = 58.6
PLEASE HELP ME!!
Micah rolled a number cube 30 times, and displayed her results in the table below.
N F Number Frequency
1 7
2 3
3 6
4 5
5 4
6 5
Which numbers appeared LESS that the theoretical probability? ( there ie more than one answer)
¤ 1
¤ 2
¤ 3
¤ 4
¤ 5
¤ 6
Answers
Answer:
2,5 appeared LESS
Step-by-step explanation:
the theoretical probability in this case would be 5 because Micah rolled the number cube 30 times and there is 6 total outcomes of the number cube.
To figure out the theoretical probability:
30 divided by 6
= 5
So every number that appeared less than 5 is your answer
I believe the answer is 2,5
ANSWER ASAP!!!!!
Audrey has a box that contains one caramel chocolate (C), one milk chocolate (M), one dark chocolate (D), and one white chocolate (W). She picks one chocolate and eats it. Then she picks another chocolate and eats it. What is the sample space of the event?
Answers
Answer:
{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}
Step-by-step explanation:
The sample space is all the possible results that can be obtained from a randomized experiment.
In this case, the experiment is to select two chocolates out of 4.
If we have 4 chocolates of different types {C, M, D, W}
and we select 2, then (taking into account the order in which she eats the chocolates} the possible results are:
{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}
There are 12 possible results for this experiment.
What is the slant height x of this square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 4 meters. The lateral edge makes a 60 degree angle with the base edge.
Answers
Answer:
= 2√3 m or 3.464
Step-by-step explanation:
Using the sine,
sin(60”) = x / 4 multiply both sides by 4
4 sin (60°) = x
4 * √3 / 2 = x
x = 2√3 m
slant height =2√3 m
Answer: The slant height is 2√3 meters.
Step-by-step explanation: The side adjacent to the 60 degree angle in the right triangle consisting of x, the lateral edge, and half of the base edge is half of the base edge, 2m. The side opposite of that angle is x. So basically you have tan(60°) = x/(2m)*tan(60°) = x = 2√3m. So thus the slant height is 2√3 meters.
The length of an average cat's body is 45 centimeters. How many millimeters are equivalent to 45 centimeters?
Answers
Answer:
450
Step-by-step explanation:
1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;
45*10 = 450 millimeters
Answer:
450 mm
Step-by-step explanation:
Given in the question,
the length of an average cat's body = 45 cm
To find,
number of mm which are equivalent to 45 cm
We know that
1 cm = 10 mm
45 cm = 45 x 10 mm
= 450 mm
Hence, there are 450 mm in 45 cm.
Given f(x) = -3x-7 and g(x) = x^4, choose the expression for (f*g)(x)
Answers
Answer:
Step-by-step explanation:
f(x) =-3x - 7
f(g(x)) = -3*g(x) - 7
f(g(x)) = -3*x^4 - 7
bottom left.
ANSWER
[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]
EXPLANATION
It was given that;
[tex]f(x) = - 3x - 7[/tex]
and
[tex]g(x) = {x}^{4} [/tex]
We want to find the composite function,
[tex](f\circ g)(x) = f(g(x))[/tex]
[tex](f\circ g)(x) = f( {x}^{4} )[/tex]
We plug in x⁴ into f(x)=-3x-7 to obtain:
[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]
Help please!!!!!!!!!!!!!
Answers
Answer:
A. Nothing, Paul is correct
Step-by-step explanation:
Tangent to a circle is a line that touches the circle at one point. At the point of contact, tangent to a circle is always perpendicular to the radius. If two tangents are drawn from a common external point to a circle, then the two tangents have equal tangent segments.Tangent segment means line joining to the external point and the point of contact to the circle.You are re-tiling the entry to your home and want to create a fancy circular medallion in the center. You want to create a large circle with a smaller circle centered inside. You want to tile the large circle with blue tile and the smaller circle with yellow tile. The circumference of the large circle is 113.097 inches and the radius of the smaller circle is 7 inches. How much blue tile do you need (in square inches)?
Answers
Answer:
Are needed [tex]863.5\ in^{2}[/tex] of blue tile
Step-by-step explanation:
we know that
To find how much blue tile do you need, subtract the area of the smaller circle from the area of the large circle
step 1
Find the radius of the large circle
The circumference of the circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=113.097\ in[/tex]
substitute and solve for r
[tex]113.097=2\pi r[/tex]
[tex]r=113.097/(2\pi)[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]r=113.097/(2(3.14))=18\ in[/tex]
step 2
Find the area of the large circle
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=18\ in[/tex]
substitute
[tex]A=\pi (18)^{2}=324\pi\ in^{2}[/tex]
step 3
Find the area of the smaller circle
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=7\ in[/tex]
substitute
[tex]A=\pi (7)^{2}=49\pi\ in^{2}[/tex]
step 4
Find the difference of the areas
[tex]324\pi\ in^{2}-49\pi\ in^{2}=275\pi\ in^{2}[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]275(3.14)=863.5\ in^{2}[/tex]
What is the area of the polygon shown below?
Answers
Answer:
The answer is D
Step-by-step explanation:
Find the perimeter of the larger Octagon.
Answers
The scale factor is obviously 7, because the 28 divided by 4 equals 7.
This means that the larger octagon's perimeter will be 7 times the smaller octagon's perimeter.
So 34 * 7 = 238.
To find the perimeter of a larger octagon, add up the lengths of all its sides. The formula for finding the perimeter of any regular polygon is P = ns, where P is the perimeter, n is the number of sides, and s is the length of one side.
Explanation:An octagon is a polygon with 8 sides. To find the perimeter of an octagon, you need to add up the lengths of all its sides. If you know the length of one side of the octagon, you can multiply it by 8 to get the perimeter. For example, if the length of one side is 5 cm, the perimeter of the octagon would be 5 cm x 8 = 40 cm.
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square root of 3 multiplyed by the square root of 2
Answers
3 is not a perfect / 100 percent square.
If we simplify we get 1.73205081. That is in its simplest form.
Solve: 92x + 1 = 93x – 2
x =
Answers
Answer:
x=3
Step-by-step explanation:
93x-92x=2+1
x=3
Answer:
x=3
Step-by-step explanation:
i did in edge right now
Please help 10 points <3
Answers
what is the distance from point N to LM in the figure below? APEX!
Answers
Answer:
Step-by-step explanation:
7.8 is the distance from n to lm
Answer:
E. 7.8
Step-by-step explanation:
We have been given an image of a triangle and we are asked to find the distance from point N to line LM.
We can see that NO is the altitude for our given triangle, so the distance from point N to line LM will be equal to length of segment NO.
We can see from our given attachment that length of segment NO is 7.8 units, therefore, option E is the correct choice.
What is the value of X?
Answers
Answer:
x = 11
Step-by-step explanation:
Since they are vertical angles, the angles are equal. Set them equal and solve for x.
5x + 10 = 7x - 12 Subtract 5x from both sides
10 = 2x - 12 Add 12 to both sides
22 = 2x Divide by 2
11 = x
BRAINLIEST ANSWER: Two workers finished a job in 7.5 days. How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?
Answers
Answer:
first we must times 7.5 into 8 to find out what the answer is,
the answer is 60
Select the correct answer. If a six-sided die is rolled 30 times, how many times can you expect to get a 6? A. 3 B. 5 C. 6 D. 10
Answers
There are 6 numbers on a die.
The probability of rolling a 6 would be 1/6 for each time you roll the die.
Multiply the number of rolls by 1/6.
30 rolls x 1/6 probability = 5 times.
The answer is B. 5
veta is buying a new video game for $45. she has $150 in her checking account and $5 in her wallet. which is the most reasonable way for veta to pay for the game?
Answers
Answer:
Debit card
Step-by-step explanation:
Got it right on TTM
Answer:
Debit card
Step-by-step explanation:
Hope this helps :)
find the area of the parallelagram
Answers
Answer:
The area of the parallelogram is 117.
Step-by-step explanation:
You do 9x13= area
9x13= 117
Solve 9x = 27 1/3 2/3 3/2
Answers
Answer:
the answer is x=3
Step-by-step explanation:
divide by 9 on each side of = sign
9/9 and 27/9=3
Answer: 3/2
Step-by-step explanation:
I just did it on oddyseyware. Trust me and believe me its 3/2.
solve the quadtdd atic function (x + 1)2 = 16
Answers
Answer:
x = 15 or x = -17
Step-by-step explanation:
It is given that,
(x + 1)² = 16
To solve the quadratic equation
The give equation is
(x + 1)² = 16 ----(1)
From equation (1) we can see that it is a quadratic equation
So we can take square root fro both sides we get
√[(x + 1)²] =√16
x + 1 = ±16
x + 1 = 16 or x + 1 = -16
x = 16 - 1 = 15 or x = -16 - 1 = -17
Therefore x = 15 or x = -17
several ordered pairs from a continuous exponential function are shown in the table. what are the domain and range of function?
A. the domain is the set of integers, and the range is y = 4.
B. the domain is the set of integers, and the range is y = 0.
C. the domain is the set of real numbers, and the range is y = 0.
D. the domain is the set of real numbers, and the range is y = 4.
Answers
Answer:the answer is b
Step-by-step explanation:
Write the expression in complete factored form. 4u(y+6)+a(y+6)
Answers
Answer:
(y + 6)(4u + a)
Step-by-step explanation:
Given
4u(y + 6) + a(y + 6) ← factor out (y + 6) from each term
= (y + 6)(4u + a) ← in factored form
What is the equation for (-3,-2)
Answers
Answer:
Y = mX + b
Step-by-step explanation:
Equation for a line:
Y = mX + b
Best regards
Hope this helps and hope you have a great day