No. Tripling the dimensions (the side of the square base and the height) would increase the surface area of the pyramid by a factor of [tex]3^2[/tex] or [tex]9[/tex]
Let
[tex]h=\text{the height of the pyramid}\\s=\text{length of one side of the square base}\\t=\text{total surface area of the pyramid}[/tex]
The total surface area of the square-based pyramid is given by
[tex]t=b(b+\sqrt{4h^2+b^2})[/tex]
Let the tripled dimensions be given by [tex]B=3b[/tex] and [tex]H=3h[/tex], then the new surface area will be
[tex]T=B(B+\sqrt{4H^2+B^2})\\=3b(3b+\sqrt{4(3h)^2+(3b)^2})\\=3b(3b+\sqrt{9(4h^2+b^2)})\\=3b(3b+3 \sqrt{4h^2+b^2})\\=9b(b+\sqrt{4h^2+b^2})\\=9t[/tex]
The new surface area will be greater than the original by a factor of [tex]9[/tex]
Learn more about scale factors here: https://brainly.com/question/1440011
Answer: It will be more than triple the area because you square the side to find the area of the base.
Step-by-step explanation:
It will be more than triple the area because you triple the side to find the area of the base. To calculate the surface area of a square pyramid, you need to first calculate the area of the base. To do this, you will need to multiply the length of one side of the square by itself (or square it). Since you are tripling the dimensions of the square pyramid, you will need to triple the side of the base, which will result in an area that is more than three times larger.
Help help help math math math math
Answer:
x = 15
Explanation:
First, add both equations on one side, and set it equal to 180° because it's supplementary:
2x + 8 + 8x + 22 = 180
combine like terms:
10x + 30 = 180
subtract 30 on both sides of the equation and you end up with:
10x = 150
divide both sides by 10 and you get:
x = 15
Answer:
x=5
Step-by-step explanation:
The point (5, -3) is a solution to which system?
A.
y = x - 8
2x + y = 7
B.
y = x + 5
y = x - 3
C.
y = x - 5
y = x + 3
D.
y = x - 8
-2x + y = 7
Answer:
A
Step-by-step explanation:
Did the test
Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answer:
5/9 yards
Step-by-step explanation:
[tex] \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} [/tex]
A customer purchased 3 pairs of jeans for $94.50. If each pair of jeans costs the same amount, write an equation and then solve for the amount a single pair of jeans costs
Answer:
One pair of jeans will cost $31.50
Step-by-step explanation:
To find how much one pair of jeans will cost let's write an equation
where the cost of one pair of jeans is x
∴ 3×x=94.50
to find x we will divide both sides by 3
∴3÷3×x=94.50÷3
which makes the equation
∴x=31.50
meaning that one pair of jeans costs $31.50
113-5.[ 2 3-( 2 3+(6))]
Answer:
143 should be correct
Step-by-step explanation:
hope this helps
What will a 68% do to a 72.99%?
Answer: If you are wondering about your grades, it becomes 70.495. Therefore, your grade becomes a 70.
It will be lowered vy like one or two percent
i think
PLZ HELP WITH ME WITH MY MATH HOMEWORK!!!!! SHOW WORK!!!!!
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
help me out please
and i need a step by step explanation
Answer: 1 + (-1) + (-4) = -4
Step-by-step explanation:
By counting how many chips there are, you can get the following:
1 positive chip + 1 negative chip + 4 negative chips, which is
+1 + -1 + 4 x -1
= 1 -1 -4
= -4
Express in the form
1
:
n
.
Give
n
as a decimal.
14
:
7
Answer:
n is 0.5
Step-by-step explanation:
Answer:
1:0.5
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION
Answer:It’s money so use the $ symbol. You got this
Step-by-step explanation:
Help help help math math
Answer:
I think its vertical opposite angle
Enter the number that belongs in the green box
Answer:
128 degrees
Step-by-step explanation:
Opposite interior angles
Pls help I’ll brainlest ASAP
Answer:
Slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
rise over run = slope
If f(x) = x2 – 1, and
g(x) = x + 2, then
g(f(x)) = [ ? ]x2 +[ ]x +[
CAN SOMEONE ANSWER THIS!!!!!!!!
Answer:
Step-by-step explanation:
2 now help me :(
Help I need help solving this!
Answer:
Step-by-step explanation:
2/5 x 7/9 = ( fractions )
Answer:
32/45 is your required answer
Answer:
your answer will be 14/45
Step-by-step explanation:
2/5 × 7/9
= 2 × 7
5 × 9
= 14/45
PHOTO ATTACHED CAN SOMEONE PLZ FR HELP LIKE NOT LIKE A LINK OR A ANSWER FOR THE POINTS I NEED SOME HELP!!!!!!!! thank you :)
Answer:
80a²b³c
Step-by-step explanation:
As with numbers, the LCM is the product of the highest-powered factors.
16ab³ = 2⁴×a×b³
5a²b² = 5×a²×b²
20ac = 2²×5×a×c
The highest power of the factor 2 is 2⁴.
The highest power of the factor 5 is 5.
The highest power of the factor a is a².
The highest power of the factor b is b³.
The highest power of the factor c is c.
The LCM is 2⁴×5×a²×b³×c = 80a²b³c
Written as a simplified polynomial in standard form, what is the result when
(2x + 7)2 is subtracted from 2X- 8?
[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]
Math temperature question
Answer:
-10.9
Step-by-step explanation:
Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.
Divide -65.4 by the count of the numbers. (6)
the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms
Answer:
The terms are 2, 4, and 8
Step-by-step explanation:
a+b+c=14
a^2+b^2+c^2=84
Plug in numbers.
3+6+5=14
3^2+6^2+5^2=70
This is too little, meaning the some of the terms have to be larger.
1+7+6=14
1^2+7^2+6^2=86
This is too much, meaning smaller terms are needed.
2+8+4=14
2^2+8^2+4^2=84
This is perfect.
Two researchers, Justin and Henry, work together to study what proportion of subjects have a certain genotype in the population. They each collect a simple random sample and they find that the sample proportion is 0.70. When they construct a confidence interval based on this sample proportion, Henry comes up with (0.632, 0.768) while Justin gets (0.652, 0.788). Indicate which interval has to be wrong and why.
Using confidence interval concepts, it is found that Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.
A confidence interval has two bounds, a lower bound and an upper bound. A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds. The margin of error is the difference between the two bounds, divided by 2.In this problem, the point estimate is of 0.7.
Henry's interval is symmetric, as [tex]0.768 - 0.7 = 0.7 - 0.632[/tex].Justin's is not, as [tex]0.788 - 0.7 \neq 0.7 - 0.652[/tex].Hence, Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.
For more on confidence intervals, you can check https://brainly.com/question/25822483
-5+i/2i ????
please help!
[tex]-5+\frac{i}{2i} = -5+\frac{1}{2}=-\frac{9}{2} =-4.5[/tex]
ok done. Thank to me :>
I have invested for a loan of Php 5,000, and I need to repay in one lump sum at the end of one year. What annual interest rate corresponds to a lump-sum payment of Php 5,425?
Based on the information given, it can be deduced that the annual interest rate will be 8.5%.
Principal = 5000
Interest = 5425 - 5000 = 425
Time = 1 year
Rate = Unknown.
Simple Interest = PRT / 100
425 = (5000 × R × 1)/100
42500 = 5000R.
R = 42500/5000
R = 8.5%
In conclusion, the correct option is 8.5%.
Learn more about the interest rate on:
https://brainly.com/question/25767935
Help me solve this please, im really bad at stuff like this
Answer:
given
Step-by-step explanation:
Answer:
statement - reason
BC||AD, <BAD is congruent to <DCB - given
<CBD is congruent to <ADB - alternate interior angles
BD is congruent to BD - reflexive (?)
triangle ADB is congruent to triangle CBD - AAS
AB is congruent to CD - CPCTC (corresponding parts of congruent triangles are congruent)
A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is ý = 5.0 + 1.2x where y is the
predicted number of points scored and x is the number
of shots taken
In one game, a team takes 50 shots and scores 75
points. What is the residual for this team during this
game?
D-33
4 5
10
65
Answer:
its 10 :)
Step-by-step explanation:
Number of points scored in a basketball game is related to the number number of shots taken during the game as below:
According to questionX=number of shots taken
Y=number of points scored
Given,
X=50
Y=75
As relation given,
Y=5.0+1.2×X
When x is 50 Y= 5+1.2×50=65
∴The residual score for his team during the game is= 75-65
⇒10
Learn more about linear relation here: brainly.brainly.com/question/6691346
#SPJ2
What is the value of 40 1/2÷3 1/2
Answer:
81/7 (11.57, 11 4/7)
Step-by-step explanation:
Lets rewrite these mixed fractions
[tex]40\frac{1}{2}=\frac{81}{2}[/tex]
[tex]3\frac{1}{2} =\frac{7}{2}[/tex]
Here we can do divide these two numbers:
[tex]\frac{\frac{81}{2} }{\frac{7}{2} }=\frac{81}{7}[/tex]
The answer therefore is 81/7, or 11.571 (11 4/7)
The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip
Answer:
$ 156.86
Step-by-step explanation:
We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.
The total bill including tip would 136.40 plus 15% of136.40plus15136.40.
\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40
\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40
\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46
\text{Total bill}=\$156.86Total bill=$156.86
Therefore, the total cost of bill including tip would be $156.86.
Simplify (4.5)(5)(−2). (1 point)
Answer:
(4.5)(5)(−2) = (-9) × 5
= -45
Answer:
-45
Step-by-step explanation:
[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]
9. A box of cereal weighs 600 grams. How much is this weight in pounds?
Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
Answer:
1.323 pounds I think I'm not too sure thi sorry
Answer:
1.32 pounds
Step-by-step explanation:
convert 1kg to 1000g
[tex]1000g = 2.2pounds[/tex]
Find out how many pounds per 100g
[tex]100g = 0.22 \: pounds[/tex]
multiply by 6 to get 600g and multiply right hand side of the equation as well
[tex]600g = 0.22 \times 6[/tex]
[tex]600g = 1.32 \: pounds[/tex]