Blank 1: The Base Area (B) of the pyramid is _ cm2. --> Area = (1/2)ap
Blank 2: The height (h) of the pyramid is _ cm.
Blank 3: The Volume (V) of the pyramid is _ cm3.
Use the formula V = (1/3)Bh to find the volume of the hexagonal pyramid.
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]
I have a two questions..
1. What is the expression for 5 increased by m?
2. Which of the following expressions represents three minus the product of five and p?
a. 5/p - 3
b. 3 - 5/p
c. 5p - 3
d. 3 - 5p
Please answer quickly!
Thank you ❤️
Answer:
5 + m
d. 3 - 5p
Step-by-step explanation:
What is the expression for 5 increased by m?
5 + m
Which of the following expressions represents three minus the product of five and p?
d. 3 - 5p
what is the value of x rounded to the nearest tenth?
Answer:
[tex]cos 45 = \frac{adjacent}{hypotenuse} \\\\\frac{1}{\sqrt{2} } = \frac{5}{x} \\\\ x = 5*\sqrt{2} = 7.071 \\nearest \ tenth = 7.1[/tex]
option D
What is the percent increase or decrease between $7.80 and $6.63?
What are all the pairs of twin primes between 25 and 55?
Joshua buys a book that is on sale for 2/5 off. What is the percent of discount for the price of the book?
Answer:
$129.00 is the correct answer
Step-by-step explanation:
..
The letter tiles shown are placed in a bowl. Matt selects one tile from the bowl.
HUKMOPSUZY
What is the probability that Matt will select one of the letters in the word "JUMP"?
Enter your answer in the box below.
1
2
3
11
VI
"V
10
4
5
6
2
8
9
Answer:
4/10 or 2/5
Step-by-step explanation:
probability of each letter:
J = 0/10
U = 2/10
M = 1/10
P = 1/10
I think it’s the first one, am I correct?
Explain!
Answer: you forgot to add the picture
Step-by-step explanation:
But if you think you are correct, go for it
is this is good picture for an amazing realistic piece for art
Answer:
honest or no?
Step-by-step explanation:
9 x 3.14, show me steps btw
Answer:
9x3.14=28.26
Step-by-step explanation:
1 3
3.14
x 9
28.26
multiply 4x9 Cary the 3 put the 3 above the 1 then multiply 1x9 the add the three then carry the 1 put it above the 3 the multiply 3x9 the you add you final total and bring the decimal doe to we’re it becomes 28.26
Which angles are adjacent angles?
Xavier needs to bike a minimum of 90 miles this week for his training. If he has already biked 18 miles this week, then how many miles should he bike on each of the 6 remaining days this week?
Answer:
It's 12.
Step-by-step explanation:
90-18=72
72/6 =12
Find the Arc Length of AB (picture provided) and show work.
Circumference of a circle is pi x diameter
Circumference = 3.14 x 8 = 25.12 feet.
Arc AB is 45 degrees.
Arc length = circumference x angle/360
Arc length = 25.12 x 45/360 = 3.14 feet
Answer: 3.14 feet
What is the equation of the trend line in the scatter plot?
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.
Answer:
y = 5/8x + 9
Hope this helps!
match like terms
3x^4
6x
-8
Answer:
Step-by-step explanation:
two like therms have the same literal part
3x^4 and 6x^4
6x and -8x
-8 and 3
Answer:
3x^4 ↔ 6x^4
6x ↔ -8x
-8 ↔ 3
Step-by-step explanation: i took the test !
What are the answer please number which question you are answering
Answer:
7.
This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:
b + 52 = 90
b = 38.
Therefore, b is 38 degrees.
8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:
b + 117 = 180
b = 63
Therefore, b is 63 degrees.
9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:
b + 125 = 180
b = 55
Therefore, b is 55 degrees.
If g(x) = 2x + 1 and f (x) = x2 + 4, find g[f(4)].
g[f(4)] =
Answer:
g(f(4)) = 41
Step-by-step explanation:
Evaluate f(4) then substitute the value obtained into g(x)
f(4) = 4² + 4 = 16 + 4 = 20, then
g(20) = 2(20) + 1 = 40 + 1 = 41
That is g(f(4)) = 41
rewrite the expression in the form as a^n
Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Side Length AB = 22
Side Length CB = 35.21
Side Length = 41.52
Angle A = 58°
Angle B = 90°
Angle C = 32°
Step-by-step explanation:
Side Length CB;Tan(32) = 22 / CB
Tan(32) * CB = 22
CB = 22 / Tan(32)
CB = 35.21
Side Length AC; (Now that we know the Length of AB and BC)22² + 35.21² = AC²
484 + 1239.74 = AC²
1723.74 = AC²
[tex]\sqrt{1723.74}[/tex] = AC
41.52 = AC
Angle A (Since we know Angle B and Angle C)Angle A + Angle B + Angle C = 180°
Angle A + 32° + 90° = 180
Angle A + 122 = 180
Angle A = 180 - 122
Angle A = 58°
Hope this helps!
Answer:
Sine Rule will apply here too
22/Sin32° = AC/sin90
AC = 22sin90/sin32
AC=41.52(To the nearest 100th)
Angles in a triangle =180
Angle A = 180 - 90 - 32
Angel A = 58°
BC/Sin58 = 22/sin32
BC = 22sin58/sin32
BC=35.21 (Nearest 100th).
Have a great day!
find the value of x to the nearest tenth will mark brainliest
Answer:
B. 5.4
Step-by-step explanation:
3/5 = 6/10
6/10 = 0.6
9 x 0.6 = 5.4
Please help with this thanks
Find tan theta if 90 < theta < 180, and csc theta = 5/4.
a.-4/3
b.-3/5
c.4/5
d.3/4
Answer:
It’s A -4/3
Step-by-step explanation:
Got it right on edge
Match the like terms.
3x^4 6x -8
-8x
6x^4
3
Answer:
6/3
8/4
we can keep 6/8 also but we can't keep 3/8
What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.
Step-by-step explanation:
volume of sphere=4/3πr³
4/3×22/7×10×10419.0stay safe healthy and happy .Answer:
V = 4188.79 in^3
Step-by-step explanation:
The volume of a sphere is V = (4/3)(pi)(10 in)^3, or (using a calculator):
V = 4188.79 in^3
On a map 1 cm represents 40 km. the real life distance between two places on the map is 360km what is the distance between these two places on the map
On a second map the distance between the same two places is 4cm what real life distance does 1 cm represent on the second map?
Which type of transformation (reflection, rotation or translation) is most difficult for you to perform? Which is the easiest? Why do you think this is?
Answer:
Easiest: Translation
Most difficult: rotation
Step-by-step explanation:
- Translation involves just moving of an image without any changes anything about it from size to orientation to shape. Therefore, the translated image is exactly the same as the original one just that it is moved to a different place.
- Rotation involves rotating the image by a certain angle.
For example, we can rotate an image by 30°, 45°, 60° e.t.c.
- Reflection is simply the mirror image of an existing image which is basically flipping the original image along a vertical or horizontal line which acts like a mirror.
Looking at these definitions, the easiest will be translation because we are not changing any single thing but just moving from one place to another while the most difficult would be rotation because it involves rotating at an angle which one may not easily get correctly.
The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the font to the volume of the prism?
Answer:
A
Step-by-step explanation:
Answer:
Hey! I just took the test and the correct answer is option B.
Step-by-step explanation:
what is the exterior angle sum for a 252-gon?
Answer: 360
Step-by-step explanation: Anytime it asks for the exterior sum it will always be 360
Perform the indicated operation.‼️‼️
Answer:
[tex]\frac{n-3}{2n+5}[/tex]
Step-by-step explanation:
PLEASE HELP 35 POINTS
Two sides of a right triangle measure 777 units and 333 units.
Answer:
58 units squared
Step-by-step explanation:
**I'm doing the question with the 7 by 3 triangle in the picture, not 777 by 333**
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where c is the length of the hypotenuse.
The given sides are legs, therefore, [tex]3^2+7^2=c^2[/tex]
[tex]9+49=c^2; 58=c^2; c=\sqrt{58}[/tex]
c is also one of the sides of the square. A square's area is one of the sides' lengths squared, so:
[tex](\sqrt{58}) ^{2}=58[/tex]
Answer:
58
Step-by-step explanation:
We can use the Pythagorean theorem to find the area of the square for the third side.
The equation for the Pythagorean theorem is
a^2 + b^2 = c^2
where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.
a^2 + b^2 = c^2
3^2+7^2=x^2
9+49=x^2
58=x^2
The area of the square for the third side of the triangle is 58 units^2 squared.