The volume of the pyramid is 167.6 cube inch (approx).
Step-by-step explanation:
Given,
Each length (l) of the base of the pyramid = 8.3 in
Height(h) of the pyramid = 7.3 in
To find the volume of the pyramid.
Formula
Volume of the pyramid = [tex]\frac{1}{3}[/tex]×area of the base×height
Area of the base = l²
Now,
The volume of the pyramid = [tex]\frac{1}{3}[/tex]×l²×h
= [tex]\frac{1}{3}[/tex]×8.3²×7.3 cube inch = 167.6 cube inch (approx)
The volume of the pyramid is calculated using the formula for a pyramid's volume, V = (1/3)bh, with a base area of 68.89 in² and height of 7.3 in, which gives a volume of approximately 167.5 in³.
Explanation:To find the volume of a pyramid with a square base, we can use the formula V = (1/3)bh, where b is the area of the base and h is the height of the pyramid. First, calculate the area of the square base by squaring the side length: b = s² = 8.3 in × 8.3 in = 68.89 in². Next, use this base area in the formula to get the volume: V = (1/3) × 68.89 in² × 7.3 in.
Doing the calculation, we find that V = (1/3) × 68.89 in² × 7.3 in = 167.4757 in³. To round to the nearest tenth, the volume of the pyramid is approximately 167.5 in³.
Dante has at most $12 to spend on entertainment each week. So far this week, he spent $7.50. Write and solve an inequality to determine how much money Dante can spend on entertainment the rest of the week.
Answer: 4.50
Step-by-step explanation:
Pay attention in math class
Answer:x+7.50 is less than or equal to 12
Step-by-step explanation: x is less than or equal to 4.5
HELP ME PLEASE
What equation can you use to find the value of x?
2x + 3x + 50 = 360
2x + 3x + 50 = 180
2x + 3x = 50
Answer:
I know I am late to answer but here is the right answer
X=26
Step-by-step explanation:
since 2x and 3x are on the same side of the equation you can combine the to get 5x+50=180. Then you subtract 50 from both sides of the equation witch you would get 5x on one side of the equation and 130 on the other. The you would divide 5x from both sides. 5x and 5 cancel out so you are left with 130 divide by 5x. You the divide which gives you the answer of X=26.
Te dog’s nap started at 7:14am and ended
at 7:57am. How long was the dog’s nap?
Answer:
The answer is 43 minutes I'm pretty sure.
Answer:
43 mins
Step-by-step explanation: All you have to do is subtract 57 from 14 then you will get your amount of time. And that is all you have to do
Find log 47.2 to four decimal places.
Step-by-step explanation:
log 47.2 in four decimal places
= 1.6739
Final answer:
To find log 47.2 to four decimal places, use the logarithmic function. The result is approximately 1.6739
Explanation:
To find log 47.2 to four decimal places, we need to use the logarithmic function. The logarithm function is the inverse of exponentiation. In this case, we are looking for the logarithm of 47.2.
Using a scientific calculator or logarithmic tables, we can find that log 47.2 ≈ 1.6739 to four decimal places.
The four decimal places are determined by the precision of the logarithm function and the number of significant figures in the input value (47.2 has four significant figures).
PLEASE HURRY!! The ratio of the volumes of two geometrically similar pyramids is 1 : 8. If the height of the larger pyramid is 24 inches, what is the height of the smaller pyramid?
a = 3 inches
b = 6 inches
c = 12 inches
d = 17 inches
Answer:
Answer C.12
Step-by-step explanation:
v/V=(h/H)^3
1/8=(h/24)^3
1/8=h^3/24^3
1/8=h^3/13824
8h^3=13824
H=1728√3
h= \sqrt[3]{1728}
h=12 cm
the height of the smaller pyramid is 12 inches.
What is a triangular pyramid?
A triangular pyramid is a 3D geometric shape in which all the three lateral faces are triangles with a common vertex. If all the three triangular faces are equilateral, then such a pyramid is called a tetrahedron.
For the given situation,
The ratio of the volumes of two geometrically similar pyramids = 1:8
The height of the larger pyramid = 24 inches.
Let the volume of smaller pyramid be v1 and larger pyramid be v2.
Let the height of smaller pyramid be h1 and larger pyramid be h2.
The relation between the volume of pyramid and height is given as
[tex]v=\frac{1}{3} (base area)(height)[/tex]
Let us consider the triangle to be equilateral triangle. So all the sides are equal.
We know that, Base area = [tex]a^{2}[/tex] and [tex]a=h[/tex]
The volume becomes [tex]v=\frac{1}{3} h^{3}[/tex]
The ratio becomes,
⇒ [tex]\frac{v1}{v2} =\frac{h1^{3} }{h2^{3}}[/tex]
⇒ [tex]\frac{1}{8} =\frac{h1^{3} }{24^{3}}[/tex]
⇒ [tex]h1^{3}=\frac{24^{3} }{8}[/tex]
⇒ [tex]h1^{3}=\frac{13824 }{8}[/tex]
⇒ [tex]h1^{3}=1728[/tex]
⇒ [tex]h1=\sqrt[3]{1728}[/tex]
⇒ [tex]h1=12[/tex]
Hence we can conclude that the height of the smaller pyramid is 12 inches.
Learn more about triangular pyramid here
https://brainly.com/question/27590002
#SPJ2
please help i will mark brainliest part b (:
Answer:
what is the question
Step-by-step explanation:
Answer:
OK UMMMM CAN YOU PUT THEE QUESTION
Step-by-step explanation:
help please and explain why
Answer:
9 cm tall
Step-by-step explanation:
The formula to find the volume of a cylinder is
V = pi r^2 (h)
pi r^2 is the base
Plug in the volume and the base
198 = 22 (h)
divide by 22
9 = h
nth term of 6 12 20 30 42 56 72
Answer:
72, 90, 110, 132, 156
Step-by-step explanation:
The pattern goes, (56+16), (72+18), (90+20), (110+22), (132+24), (156+26), etc.
With the beginning pattern of +6, add +2 to each +6 for the following numbers.
Answer:
[tex]a_n=(n+1)(n+2)[/tex]
Step-by-step explanation:
Notice that the terms given in the sequence are the products of two consecutive numbers as follows:
[tex]a_1=6=2*3\\a_2=12=3*4\\a_3=20=4*5\\a_4=30=5*6\\a_5=42=6*7\\a_6=56=7*8\\a_7=72=8*9[/tex]
Therefore, we can write the nth term of the sequence as the product of a number and its consecutive, starting with the factor "2" for the first term instead of "1", thus making:
[tex]a_n=(n+1)(n+2)[/tex]
4. When -2 is substituted for x, in the equation y=2x+1, what is y?
Show work.
13 points ill also mark brainliest if correct
In the diagram, DG ∥ EF.
On a coordinate plane, quadrilateral D E F G is shown. Point D is at (negative 2, 2), point G is at (1, 2), point F is at (3, negative 3), and point E is at (negative 4, negative 3).
What additional information would prove that DEFG is an isosceles trapezoid?
DE ≅ GF
DE ≅ DG
EF ≅ DG
EF ≅ GF
Answer:
Answer is A
Step-by-step explanation:
Reasons
The information that would prove that DEFG is an isosceles trapezoid is
DE ≅ GF.
What is an isosceles trapezoid?An isosceles trapezoid is a trapezoid in which the base and it's opposite side are parallel and the length of the non-parallel sides are same.
Here, the given trapezoid:
the coordinates of the points D and G are (- 2, 2) and (1, 2) respectively.
the coordinates of the points E and F are (- 2, 2) and (1, 2) respectively.
Therefore, it is clear that the base of the given trapezoid EF and it's opposite side DG are parallel.
Therefore, the given trapezoid would be isosceles, if DE and GF are equal.
Learn more about an isosceles trapezoid here: https://brainly.com/question/24180285
#SPJ3
What is the area of this circle?
Answer:
100 pi (314.16)
Step-by-step explanation:
Because the diameter is 20 in, that makes the radius = 20/2 inches = 10 inches.
10^2 * pi = area
100 pi = area
314.16 is approx. area.
Answer:
It should be 1,256.6 in square inches
Step-by-step explanation:
ANSWER THESE ASAP Carla got a ride from her mom to school on 13 of 20 school days in November. Which is NOT equivalent to the fraction of days she got a ride to school?
Question 1 options:
13/20
35%
0.65
65%
Harold left a 23% tip when he went out to eat. What answer choice is equivalent?
Question 2 options:
2.3
23
0.23
0.023
Blair spent 45% of her birthday money on new clothes. What fraction of her money is that equivalent to?
Question 3 options:
9/20
22/50
4/11
4/5
Byron drank 1.36 liters of water yesterday. How many milliliters is that equivalent to?
Question 4 options:
13,600 ml
1,360 ml
136 ml
13.6 ml
The perimeter of the schoolhouse is 5,982 feet. How many yards is that equivalent to?
Question 5 options:
598.2 yds
2,991 yds
1,994 yds
498.5 yds
question 1: 35%
question 2: 0.23
question 3: 9/20
question 4: 1,360 mL
question 5: 1,994 yds
Answer:
1. 35%
2. 2.3
3. 9/20
4. 1360 ml
5. 1994 Yards
Which number best represents the situation. "A plane descends 1, 500ft?
1,500
15
-1,500
-15
Answer:
-1500
Step-by-step explanation:
"descends," means to go down (ascend means to go up), so the number would be negative. The number given is 1500, so we use that, and get -1500.
Answer:
-1500
Step-by-step explanation: Descending means "going down" negative numbers are below normal. They had descended from the normal numbers.
How many solutions can be found for the system of linear equations represented on the
graph?
A) no solution C) two solutions
B) one solution D) infinitely many solutions
Answer:
A) no solution
Step-by-step explanation:
Parallel lines never intersect
Solve each system of equations by substitution.
2x + 2y = 3 x - 4y = -1
Step-by-step explanation:
2x + 2y = 3 ( x2 for everything in the equation)
x - 4y = -1
4x+ 4y = 6
x - 4y = -1
Add the 1st line to the 2nd line to get rid of the y:
5x = 5
x - 4y = -1 ( you can pick any line from this system to be the second equation in this step, you can put 2x + 2y = 3 or 4x+ 4y = 6, anything above this step, but to make it simple chose the one you think is the easiest)
Solve for x, then plug the x value into the 2nd equation
x = 1
1 - 4y = -1
x = 1
-4y = -2 =) y = 1/2
x = 1
y= 1/2
Use a half-angle identity to find the exact value
Given:
[tex]\cos 15^{\circ}[/tex]
To find:
The exact value of cos 15°.
Solution:
[tex]$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}[/tex]
Using half-angle identity:
[tex]$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}[/tex]
[tex]$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}[/tex]
Using the trigonometric identity: [tex]\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}[/tex]
[tex]$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}[/tex]
Let us first solve the fraction in the numerator.
[tex]$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}[/tex]
Using fraction rule: [tex]\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}[/tex]
[tex]$=\sqrt{\frac {2+\sqrt{3}}{4}}[/tex]
Apply radical rule: [tex]\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}[/tex]
[tex]$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}[/tex]
Using [tex]\sqrt{4} =2[/tex]:
[tex]$=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]
[tex]$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]
Express in lowest terms.
Answer:
3x^3
Step-by-step explanation:
57/19=3
x^5 - x^2 = x^3
Answer:
3x^3
Step-by-step explanation:
You have to divide 15 over nineteen, which is 3x with the exponent of 5 over x with the exponent of 2. Then you have to apply the exponent rule and subtract the exponents:5-2, which would give you 3x with the exponent of 3
At the beginning of 2012 Jacob's saving account had $675.20. He deposited $40 each month and earned $66.50 interest for the year What was the percent of increase for Jacob's saving account at the end of the year to he nearest whole percent
A.) 37%
B.) 45%
C.) 55%
D.) 81%
What is the sum of 2 2/4 and 8 3/4
Answer:
11 1/4 or 11.25.
Step-by-step explanation:
Find the length of a pendulum that makes one swing in 3 s. The equation for the time of one swing of a pendulum is T= 2pi sqrt(L/32) , where T is the time in seconds and L is the length in feet. Round to the nearest hundredth.
Answer:
7.30
Step-by-step explanation:
T = 2π √(L/32)
3 = 2π √(L/32)
3/(2π) = √(L/32)
(3/(2π))² = L/32
L = 32 (3/(2π))²
L ≈ 7.30
The length of the pendulum in feet nearest to hundredth is 7.29 feet.
What is an equation?
Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given that the equation for the time of one swing of a pendulum is
T = 2π √(L/32).
And pendulum makes one swing in 3 seconds.
Now T is 3 second.
So , substituting the value of T in given expression;
3 = 2π √(L / 32)
3 / (2π) = √(L / 32)
Taking square on both sides,
{ (3/(2π) }² = L / 32
L = 32 × { 3 / (2π) }²
L = 7.295
L ≈ 7.29
Therefore, the length of the pendulum in feet nearest to hundredth is 7.29 feet.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
What are interest rates? Please explain.
Answer:
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed. The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited or borrowed.
how do i solve this using imaginary numbers? PLEASE HELP
Answer:
14 -2i
Step-by-step explanation:
9 + sqrt(-4) - ( -5 + sqrt(-16))
We know the sqrt of a negative number is i * sqrt(number)
9 + isqrt(4) - ( -5 + isqrt(16))
9 + 2i - (-5 + 4i)
Distribute the negative sign
9+2i +5 -4i
Combine like terms
14 -2i
Is line AB tangent to the circle ?
Answer:
Yes
Step-by-step explanation:
A tangent has one point touching the circle and is always perpendicular to the radius drawn in as well. Therefore line AB is tangent to the circle and creates a right triangle.
A scientist asked five of her dentist friends if they thought the new Brand X sugar dash free gum that she developed was effective. Four responded "yes." The scientist used the results to write a TV advertisement claiming that "4 out of 5 dentists prefer Brand X sugar dash free gum." Is this a valid inference? Explain.
Use pencil and paper. Explain all of the factors that are necessary for an inference to be valid.
Is the inference valid? Explain.
Answer:
80% agree because 4/5= 80/100
Step-by-step explanation:
1+2(x+3)=7
how do you solve
Answer:
1
Step-by-step explanation:
you have to minus the 7 by 6 which you get from adding all the other numbers up together
3 times 1,000 +6 times 100 + 3 times 10 +7 times 1/10 + 2 times 100 +8 times 1/1000?
Answer:
3,006.0578 is your answer.
Step-by-step explanation:
3 × 1000 + 6 × 100 + 3 × 10 + 7 × 0.1 + 2 × 100 + 8 × 0.0001 = 3,006.0578
Answer:3630.728
Step-by-step explanation:
1. Evaluate 4x
if x = 3.
Answer:
[tex]12[/tex]
Step-by-step explanation:
Step 1: Set x to 3 and solve
[tex]4x[/tex]
[tex]4(3)[/tex]
[tex]4 * 3[/tex]
[tex]12[/tex]
Answer: [tex]12[/tex]
Simplest form of 34/51
Answer:
[tex]\huge\boxed{\dfrac{34}{51}=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{34}{51}\\\\34=17\cdot2\\51=17\cdot3\\\\LCM(34,\ 51)=17\qquad/\text{Largest Common Multiple}/\\\\\dfrac{34}{51}=\dfrac{34:17}{51:17}=\dfrac{2}{3}[/tex]
Answer:
Step-by-step explanation:
2
—
3
At Sports Shoe Warehouse, the cost of 11 pairs of soccer shoes is $1100 plus $66 for each additional pair. From Winning Team Shoes, the cost of 11 pairs of soccer shoes is $825 plus an additional 6% for each additional pair. For how many total pairs of soccer shoes does each vendor cost about the same? Write the equations
Final answer:
Both vendors cost about the same for 20 pairs of soccer shoes.
Explanation:
For Sports Shoe Warehouse, the cost for 11 pairs is $1100, and each additional pair costs $66. So, the total cost for x additional pairs would be $1100 + $66x.
For Winning Team Shoes, the cost for 11 pairs is $825, and each additional pair costs 6% more than the previous pair. So, the total cost for x additional pairs would be $825 + 0.06(825)x.
To find when both vendors cost the same, we set their expressions equal: $1100 + $66x = $825 + 0.06(825)x. Solving for x gives x = 20. Therefore, both vendors cost about the same for 20 pairs of soccer shoes.
Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He currently has –6 points. What situation would end with him breaking even? answering one question correctly and the last question incorrectly answering one question incorrectly and the last question correctly answering the last two questions correctly answering the last two questions incorrectly
I think c
Step-by-step explanation:
Answer: C. answering the last two questions correctly
Step-by-step explanation: If each question were worth 3 points if he got it correctly then he would have to get 2 questions right since he has -6