Answers
Answer:
Surface area:The sum of all the sides to a figure.Given that the area of the base is 440.4, all we would need to find out is the sum of all the areas of the triangles surrounding it.
Formula for area of a triangle:
A = BH x 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 simply means to divide the product of those two lengths(base and height) by 2.
Plug in what we know:-
A = BH x 1/2
A = 16(20) x 1/2
A = 320 x 1/2
A = 320/2
A = 160 mm is the area of one triangle, but we want to know the area of all 5 triangles, so;
160(5)
= 800 mm is the area of all the triangles.
Now add the base area to the area of all the triangles.
440.4 + 800
= 1,240.4 mm.
Therefore the surface area of this pyramid is 1,240.4 mm.
Answer:
1240.4 mm²
Step-by-step explanation:
The surface area of a pyramid = Area of the all sides + Area of base
Each side is a triangle.
With a regular pentagonal pyramid, the area of each triangle is
A = 1/2 x base x slant height
For the 5 triangles,
A = 5 x 1/2 x base x slant height = 1/2 x 5 x slant height
Substitute values,
A = 5 x 1/2 x 16mm x 20mm = 800 mm²
Area of base = 440.4 mm²
Surface area of a pyramid = 800 + 440.4 mm² = 1240.4 mm²
Related Questions
Directions: Match each image of a ray with the correct way to write it.
Answers
Answer:
1 + G = Push in p To Much P
Step-by-step explanation:
g= gunnaaa 1+gunnaaa = push ing P
Jason opened the triangular pyramid-shaped box to cover it with wrapping paper. How much wrapping paper will he need?
Answers
Answer:
How might the situation lead to bullying?
Step-by-step explanation:
How might the situation lead to bullying?
the answer B
A grocery store sells a bag of 6 oranges for $3.24. How much does one orange cost
Answers
The answer is 54 cents per orange
When you multiply a whole number by 10 to the 5th power , will there always be the same number of
zeros before the decimal point as in your answer to Part A? Explain your reasoning.
Answer:
Answers
Answer:
Step-by-step explanation:
a whole number can be ANY counting number
10 to the 5th power = × 10 × 10 × 10 × 10 × 10
when you multiply by any positive power of ten, you are making it really big
23 × 10 × 10 × 10 × 10 × 10 = 2,300,000
30 × 10 × 10 × 10 × 10 × 10 = 3,000,000
100 × 10 × 10 × 10 × 10 × 10 = 10,000,000
the pattern is the whole number followed by 5 zeros that show 5 place values
Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.
Answers
Answer:
Step-by-step explanation:
Arithmetic sequence:
[tex]\boxed{a_n =a + (n-1)*d)}[/tex]
a₅ = 10 a + 4d = 10
a₆ = 8 a + 5d = 8
Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'
(I)*(-1) -a - 4d = -10
(II) a + 5d = 8 {Now add}
d = -2
Substitute d = -2 in equation (I)
a + 4*(-2) = 10
a - 8 = 10
a = 10 + 8
a = 18
a = 18 , d = -2
Sequence: 18 ,16 , 14 , 12 , 10 , ......
M log_5(8) rewrite to log _?(?)
Answers
Answer:
[tex]\log_5 8^{M}[/tex]
Step-by-step explanation:
[tex]\text{We know that,}~ b\log_a c = \log_a c^b[/tex]
find the sum of the fractions below. 5/8 + 1/n = 7/8 A. 3 B. 3 5/12 C. 3 4/9 D. 4
Answers
Answer:
D. 4
Step-by-step explanation:
1) Subtract 5/8 from both sides.
1/n = 7/8 - 5/8
2) Simplify 7/8 - 5/8 to 1/4.
1/n = 1/4
3) Multiply both sides by n.
1 = 1/4n
4) Simplify 1/4n to n/4.
1 = n/4
5) Multiply both sides by 4.
1 * 4 = n
6) Simplify 1 * 4 to 4.
4 = n
7) Switch sides.
n = 4
Check Answer:
5/8 + 1/n = 7/8
1) Let n = 4.
5/8 + 1/4 = 7/8
2) Simplify 5/8 + 1/4 to 7/8.
7/8 = 7/8
Which of the following numbers must be added to complete the square in the equation below? x^2 +16x=5 27
O A. 64
O B. 25
O C. 16
O D. 8
Answers
Answer:
A) 64
Step-by-step explanation:
16/2=8
8^2= 64
x^2 +16x +64= 69
(x +8)^2= 69
Solve: (x + 4)2 – 4 = 16
O x= - 4+2V5
O
O x= – 4 + 20
O x= 4 + V20
O x= +4
Answers
Answer:
[tex] {x} = - 4 \pm \: 2\sqrt{5} [/tex]
Step-by-step explanation:
[tex] {(x + 4)}^{2} - 4 = 16 \\ \\ \implies \: {(x + 4)}^{2} = 16 + 4 \\ \\ \implies \: {(x + 4)}^{2} = 20 \\ \\ \implies \: {(x + 4)} = \pm \: \sqrt{20} \\ \\ \implies \: {x + 4} = \pm \: 2\sqrt{5} \\ \\ \implies \: {x} = - 4 \pm \: 2\sqrt{5} [/tex]
Dr. Weinstein took 50 ounces of a 20% silver
alloy and mixed it with a 40% silver alloy to get
a 30% silver alloy. How many ounces of the 40%
silver alloy did he use?
Answers
Answer:
I think it is 100
Answer:
Step-by-step explanation:
The answer is 50 ounces
Because 30% silver is right in between 20% silver and 40% silver, it would have to be the same amount to be 30%
Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1
Answers
Answer:
x = -5 plus/minus sqrt( 26 )
Step-by-step explanation:
Let's remember the binomial square formula
A^2 + 2AB + B^2 = (A + B)^2
We have:
x^2 + 2*5x -1
Hence, if we replace
A = x
B = 5
we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2. [++]
Based on this reasoning, let's set f(x) = 0
x^2 +10x -1 = 0
Let's add 26 on both terms:
x^2 +10x +25 = 26
Based on [++]: (x + 5)^2 = 26
Square root on both sides
(x + 5) = plus/minus sqrt (26)
x = -5 plus/minus sqrt (26)
1. How many degrees are in this angle, which is one-fourth of the circle?
Answers
Answer: 90 degrees
Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide
360/4 = 90 (: hope this helps
Answer:
90* x 4 = 360*
360* / 4 = 90*
Step-by-step explanation:
A circle has 360* all around.
In the angle that was drawn, it is 90*
The degrees for the space outside of 90* is x
x = ? 360* - 90* = 280* x = 280*
hope this helped
Megan wants to buy a designer handbag and plans to earn the money from babysitting. Suppose the interest rate is 8% and she is willing to wait one year to purchase the bag. How much babysitting money will she need to earn today to buy the bag for $400 one year from now? (Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i.e., rounding $30.49 down to $30 and rounding $30.50 up to $31.)
Answers
Answer:
370
Step-by-step explanation:
FV = PV ( 1 + i) i = interst in decimal
400 = PV ( 1.08)
PV = 400 / 1.08 =
Can someone help me please?
Answers
PLEASE HURRY DUE TODAY
3. Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2. (a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase? (b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number
Answers
Answer A: 45 5/16
B: The present of the area as 83%
Step-by-step explanation:
(a)
35= 3+3+3.2x+3.2x+3.2x+3.2x
35= 6 + 12.8
29/12.8 +12.8x/12.8
X=2.265625 = 2/12/64
1x = 2 17/64 * 4 + 9 1/16
P = 45 5/16
(b)
The present of the area as 83%
35 – the bases or 6 = 29
29/35 + 0.82857142857
0.82857142857 * 100 = 82.8571428571
Rounded to the nearest whole number is 83%
find the binomial factor s^2+10s+25
Answers
[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]
Emily recently started a part time job. She is saving for a car, which she will need when she attends college next year. She plans to deposit $400 at the end of each month into an account that 3.6% per year, compounded monthly . How much will Emily have saved at the end of six months? pays
Answers
Answer:
$2418.07
Step-by-step explanation:
Problems involving the time-value of money are conveniently solved using a TVM app on a suitable calculator or spreadsheet. The result of doing that is shown in the attachment.
__
If you would like to compute the value of Emily's account by hand, the annuity formula is the one you want.
A = Pn((1 +r/n)^(nt) -1)/r . . . . where r is the annual interest rate, n is the number of times per year it is compounded (12), t is the number of years (1/2), and P is the periodic payment into the acccount (400).
Using the given values in the formula, we have ...
A = 400(12)((1 +0.036/12)^(12/2) -1)/0.036 = 4800×(1.003^6 -1)/0.036
A ≈ 2418.07
At the end of 6 months, Emily will have saved $2418.07.
A sample of students is taken from the school's A honor roll. The school estimates that there are 360 students on the A honor roll. Using this sample how many students on the A honor roll are 8th graders. There are 14 8th graders on the A honor roll.
Answers
Answer:
Number of 7th grade = 360 - X
Step-by-step explanation:
As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.
Answer:
There are 126 8th grade A honor roll students.
Step-by-step explanation:
Since there are 14 8th grade A honor roll students out of 40 A honor roll students. That means that the fraction is 14/40. After that we do 14/40x360 which results in 126.
What is the inverse of f(x)=3-x/7
Answers
Answer:
I got f^-1 (x) = -7x + 21
Step-by-step explanation:
what's the estimate of 6.48 + 9.34 and what's the estimate 15.71 + 12.2
Answers
Answer:
Your Estimated Equations and Answers: 6+9= 15 ; 16+12 = 28
Step-by-step explanation:
Estimating can be equivalent to rounding. This is because you're trying to find an approximate number or sum.
6.48 + 9.34 is your first question.
You should round it to the nearest whole number.
6.48 ~ 6 and 9.34 ~ 9
*Rounding rules applied here*
(~ this sign is the approximate or rounded to symbol)
Now, do 6+9 =
6+9= 15
______________________________________________
15.71 + 12.2 is your next question.
Same as last, round to the nearest whole number.
15.71 ~ 16 and 12.2 ~ 12
Now, do 16+12
16+12 = 28
The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult prefers chocolate ice cream?
A) 55/52
B) 55/54
C) 55/107
D) 55/119
Answers
Answer:
d
Step-by-step explanation:
cause this means that it is rise over run
Five members of a mystery-book club each read a 1,296-page book. Nine members of a fantasy-book club each read a 398-page book. How many more pages did the mystery-book club read than the fantasy-book club? Select all the correct equations or set of equations that could be used to solve the problem.
Answers
Answer:
2898
Step-by-step explanation:
number of people * number of pages in each book they read =total
mystery bookclub:
5 * 1,296 = 6480
fantasy bookclub:
9 * 398 = 3582
mystery - fantasy = difference in books between the two groups
6480 - 3582 = 2898
possible equation:
(1296 x 5) - (398 x 9) = x
x = answer
Answer:
Step-by-step explanation:
hey i got a couple (10) calculus questions in my profile and im pretty desperate right now
can u pls help
A b c d or e what one will give brainlest
Answers
Order from least to greatest the given numbers.
-5,13,4,-10,-1
A)
-5,-1,-10,4,13
B)
-10, 4, 13,-1,-5
C)
-10,-5, -1, 4, 13
D)
-5, -10,-1, 13,4
Answers
Answer:
Option C) is correct......
6=sqrt x^2+3-x
steps included please
Answers
Answer:
-3/2
Step-by-step explanation:
6=|x|+3-x
move the terms
-|x|+x=3-6
-|x|+x=-3
-x+x=-3 , x > 0 (put a line under >)
-(-x)+x=-3 , x < 0
-3/2 , x < 0 find the intersection
x= -3/2
if you dont want it as a fraction you can do -1.5 in decimal form
Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.
Answers
Linear equations are commonly organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = the y-intercept (the value of y when x=0)To find the equation of a line given two points:
Determine the slope of the line using the slope formulaPlug the slope into [tex]y=mx+b[/tex]Determine the y-intercept by solving for bPlug the y-intercept back into the equationSolving the QuestionWe're given:
The line passes through the points (8,-45) and (2,-9)First, determine the slope using the following formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
⇒ Plug in the given points (8,-45) and (2,-9):
[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]
Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=-6x+b[/tex]
Now, determine the y-intercept:
[tex]y=-6x+b[/tex]
⇒ Plug in one of the given points as (x,y) and solve for b:
[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]
Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:
[tex]y=-6x+3[/tex]
Answer[tex]y=-6x+3[/tex]
It takes Kim 7 hours to proof a chapter of Hawkes Learning Systems' Introductory Algebra book and it takes Harding 2 hours. How long would it take them working together? (Round your answer to two decimal places.)
Answers
PLEASE HELP ME ON THIS
Answers
Answer:
About 154 Square
Explanation:
To find an area of a circle you multiply pi by the radius squared so 7² = 49 and 49 x 3.14 = 153.86 which is the closest to 154.
Help please I have a d in this class
Answers
Answer:
2. Elana's Family. Elana's Family.
3. 8 minutes 4 seconds
4. Elena's family will have driven 2.76 miles while Andre's family will have driven which is farther.
Step-by-step explanation:
Please help me with this math problem
Answers
Answer:
P1:40% P2:47500 P3:10%
Step-by-step explanation:
2/5 = 0.4 =40%
5/8= .625
.625 x 76000 =
47500