A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyramid is 238.5 sq inches. Is rain correct? Use the drop down menus to explain your reasoning.
Answers
Answer:
Rain is correct, calculates correctly, 238.5 square inches
Step-by-step explanation:
The given triangular pyramid is shown with the dimensions.
The surface area of the triangular pyramid is given by :
[tex]$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$[/tex]
[tex]$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$[/tex]
[tex]$A=43.5+(3\times 65)$[/tex]
[tex]$A=43.5+195$[/tex]
[tex]$A=238.5 \ \text{inche}^2$[/tex]
Therefore, the surface area of the triangular pyramid is = 238.5 square inches.
Related Questions
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Answers
Answer:
the answer is the second number line
ANSWERR ASAP PLSSS PLLSSS I BEGGG YOUUU
Answers
Answer:
(5/1)(4-0)-(-5)(-4-3)
Step-by-step explanation:
You could also get an undefined number by putting any number divided by 0.
98 x 63 – 32 x 69 =
Answers
Answer:
3966
Step-by-step explanation:
Use order of operations to solve this problem:
ParenthesesExponentsMultiply (Left to right)Divide (Left to right)AdditionSubractionIn your case, there are no parentheses or exponents, so we can skip right the the multiply and divide step. The first multiplication is 98*63=6174. The next step is to do 32*69=2208. Then you minus 6174-2208=3966.
Hope this helps!
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill or 67.13
Answers
Answer:
$13.4
Step-by-step explanation:
Given that :
Tip percentage = 20%
Amount of bill = $67.13
Rounding the bill Amount to then nearest dollar :
$67.13 = $67
Tip amount = 20% of $67
Tip amount = 0.2 * $67
Tip amount = $13.4
It is formed by two non collinear rays with the same point.
Answers
It is formed by two non collinear rays with the same point.
I think your answer is:
Angle
Select the correct answer.
A triangle with vertices at A(0, 0), BIO, 4), and C16, 0) is dilated to yield a triangle with vertices at Ato, O), BIO, 10), and C[15, 0). The origin is the center of dilation. What is the
scale factor of the dilation?
OA 1.5
OB.
2
OC. 2.5
OD. 3
Answers
Answer:
c. 2.5
Step-by-step explanation:
4×2.5 => 10
6×2.5 => 15
so scale factor = 2.5
Nicole has 2/3 of the butter needed to make a cake. The same amount of butter is needed to make 1 cake as it does to make 14 mini cakes. What is the largest number of mini cakes Nicole can make with the butter she has?
Answers
Answer:
The largest number of mini cakes Nicole can make with the butter she has is 9.
Step-by-step explanation:
Given that Nicole has 2/3 of the butter needed to make a cake, and the same amount of butter is needed to make 1 cake as it does to make 14 mini cakes, to determine what is the largest number of mini cakes Nicole can make with the butter she has, the following calculation must be performed:
2/3 = 0.666
1 = 14
0.666 = X
0.666 x 14/1 = X
9.333 = X
Therefore, the largest number of mini cakes Nicole can make with the butter she has is 9.
I need your help friends please last time you all helped me get a 70% which is passing
Answers
The answer would be $53
need help ASAP thank you :)
Answers
Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
A. 1.21d
B. 0.79d
C. d + 0.79d
D. d + 0.21
Answers
Answer:
It is A
Step-by-step explanation:
Your welcome
Let me know if you ever need help! :)
In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units
Answers
Answer:
B) 5 units
Step-by-step explanation:
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The two pints are given below.
(0, 2) and (5, 2)
Then the distance between these points (0, 2) and (5, 2) will be given as,
D² = (5 - 0)² + (2 - 2)²
D² = 5²
D = 5 units
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
Learn more about the distance between two points here:
https://brainly.com/question/18296211
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Lin decides to solve the equation using the quadratic formula. Here is her work: xxx=−b±b2−4ac−−−−−−−√2a=−(−6)±(−6)2−4(1)(10)−−−−−−−−−−−−−√2(1)=6±36−40−−−−−−√2 Lin knows 36−40 is a negative number and isn't sure what to do next. Show how Lin can write her solution using i.
Answers
Answer:
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Required
Solve, in terms of i
We have:
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Solve the expressions in bracket
[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]
[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]
Express -4 as 4 * -1
[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]
Split
[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]
In complex numbers;
[tex]i = \sqrt{-1[/tex]
So, we have:
[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]
[tex]x = \frac{6 \± 2i}{2}[/tex]
Factorize
[tex]x = \frac{2(3 \± i)}{2}[/tex]
[tex]x = 3 \± i[/tex]
Split
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
please help i dont understand this
Answers
Answer:
yeah me too
Step-by-step explanation:
i’ll give you what eva you like
Answers
Answer:
Number of additional inches= x
Number of additional topping= y
Total cost= 8+1.5(x)+0.75(y)
cost of pizza= 8+1.5x+0.75y-----------------------
hope it helps...
have a great day!!
They are selling lollipops for $0.50 and candy bars for $1.50
Lydia buys 6 lollipops and some candy bars.
If she spends $15.00 in total, how many candy bars, b, did Lydia buy?
Answers
If you times 6 by 50 then you get $3.00 that is the answer for the lollipop you have to minus $15.00 by $3.00 which is $12.00
A computer network manager wants to test the reliability of some new and expensive fiber optic Ethemet cables that the computer department just received . The computer department received 10 boxes containing 50 cables each The manager does not have the time to test every cable in each box The manager will choose one box at random and test 10 cables chosen randomly within that box What is the population
Answers
Answer: 500 cables
Step-by-step explanation:
The population refers to the individuals or the items which are of interest fltonthe researcher during an experiment.
Since the computer department received 10 boxes containing 50 cables each, then the population will be gotten as:
= 10 × 50
= 500 cables
WILL MARK BRAINLIEST!!!!!find the length of AC
Answers
Answer:
20
Step-by-step explanation:
a²+b²=c²
25²-15²=b²
625-225=b²
400=b²
√400=√b²
20=b
What is the area of the sector that is not shaded?
0 12 tt units
O 24 tt units?
0 120rt units
O 144rt units?
Answers
The area of the sector that is not shaded is 120π units²
Option C is the correct answer
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The circle has 360°.
This can be written as,
Area = πr² x 360/360
Now,
The area of the not-shaded part has (360 - 60)°
So,
Area = πr² x 300/360
Now,
r = 12 units
Area = π x 12 x 12 x 300/360
Area = 120π units²
Thus,
The area of the sector that is not shaded is 120π units²
Learn more about circle here:
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Find 5 rational numbers between 6 8 and 7 2
Answers
Answer:
Step-by-step explanation:
Five rational number from 68 to 72
69, 70 , 71, 71.1 , 71.2
What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brother's account?
Answers
Answer:
(b) is true
Step-by-step explanation:
Given
Molly
[tex]a = 500[/tex] --- starting balance
[tex]m = 10[/tex] --- monthly rate
Her brother
[tex]a = 100[/tex] ---- starting balance
[tex]r = 10\%[/tex] --- annual rate
Required
Determine which option is true
First, we calculate her brother's function.
The function is an exponential function calculated as:
[tex]y = ab^x[/tex]
Where [tex]b = 1 + r[/tex]
So, we have:
[tex]y = ab^x[/tex]
[tex]y = 100 *(1 + 10\%) ^x[/tex]
[tex]y = 100 *(1 + 0.10) ^x[/tex]
[tex]y = 100 *(1.10) ^x[/tex]
Hence:
[tex]g(x) = 100 *(1.10) ^x[/tex]
Next, we calculate Molly's function (a linear function)
The monthly function is:
[tex]y = mx + a[/tex]
So, we have:
[tex]y = 10x + 500[/tex]
Annually, the function will be:
[tex]y = 10x*12 + 500[/tex]
[tex]y = 120x + 500[/tex]
So, we have:
[tex]f(x) = 120x + 500[/tex]
At this point, we have:
[tex]f(x) = 120x + 500[/tex] ---- Molly
[tex]g(x) = 100 *(1.10) ^x[/tex] ---- Her brother
Next, we test each option
(a): Molly's account will have a faster rate of change over [32,40]
We calculated Molly's function to be:
[tex]y = 120x + 500[/tex]
The slope of a linear function with the form: [tex]y = mx + b[/tex] is m
By comparison:
[tex]m = 120[/tex]
Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.
[tex]m = 120[/tex]
For his brother:
Rate of change is calculated using:
[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]m = \frac{g(40) - g(32)}{40 - 32}[/tex]
[tex]m = \frac{g(40) - g(32)}{8}[/tex]
Calculate g(40) and g(32)
[tex]g(x) = 100 *(1.10) ^x[/tex]
[tex]g(40) = 100 * 1.10^{40} =4526[/tex]
[tex]g(32) = 100 * 1.10^{32} = 2111[/tex]
So, we have:
[tex]m = \frac{4526 - 2111}{8}[/tex]
[tex]m = \frac{2415}{8}[/tex]
[tex]m = 302[/tex]
By comparison: [tex]302 > 120[/tex]
Hence, her brother's account has a faster rate over [32,40]
(a) is false
(b): Molly's account will have a slower rate of change over [24,30]
[tex]m = 120[/tex] --- Molly's rate of change
For his brother:
[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]m = \frac{g(30) - g(24)}{30 - 24}[/tex]
[tex]m = \frac{g(30) - g(24)}{6}[/tex]
Calculate g(30) and g(24)
[tex]g(x) = 100 *(1.10) ^x[/tex]
[tex]g(40) = 100 * 1.10^{30} =1745[/tex]
[tex]g(32) = 100 * 1.10^{24} = 985[/tex]
So, we have:
[tex]m = \frac{g(30) - g(24)}{6}[/tex]
[tex]m = \frac{1745 - 985}{6}[/tex]
[tex]m = \frac{760}{6}[/tex]
[tex]m = 127[/tex]
By comparison: [tex]127 > 120[/tex]
Hence, Molly's account has a slower rate over [24,30]
(b) is false
(c): Molly's account will have a slower rate of change over [0,4]
[tex]m = 120[/tex] --- Molly's rate of change
For his brother:
[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]m = \frac{g(4) - g(0)}{4 - 0}[/tex]
[tex]m = \frac{g(4) - g(0)}{4}[/tex]
Calculate g(4) and g(0)
[tex]g(x) = 100 *(1.10) ^x[/tex]
[tex]g(4) = 100 * 1.10^4 =146[/tex]
[tex]g(0) = 100 * 1.10^{0} = 100[/tex]
So, we have:
[tex]m = \frac{g(4) - g(0)}{4}[/tex]
[tex]m = \frac{146 - 100}{4}[/tex]
[tex]m = \frac{46}{4}[/tex]
[tex]m = 11.5[/tex]
By comparison: [tex]120>11.5[/tex]
Hence, Molly's account has a faster rate over [0,4]
(c) is false
The low temperatures for four nights in December for a city are recorded below.
−4°, 1°, 3°, −2° Which lists the temperatures in the correct order from coldest to warmest?
A) −4°, −2°, 1°, 3°
B) 1°, −2°, 3°, −4°
C) −2°, −4°, 1°, 3°
D) −4°, 3°, −2°, 1°
Answers
Answer:
the answer is A
Step-by-step explanation:
its because -4 is the coldest and 3 is the warmest out of the rest
Plz help , due in 5 mins
Answers
Answer:
option a) 30 : 19
Step-by-step explanation:
[tex]Length = 7 \frac{1}{2} = \frac{15}{2}\\\\Width = 4\frac{3}{4} = \frac{19}{4}[/tex]
Ratio of length to width:
[tex]\frac{15}{2} : \frac{19}{4}[/tex]
[tex]=\frac{\frac{15}{2}}{\frac{19}{4}}\\\\=\frac{15}{2 } \times \frac{4}{19}\\\\=15\times \frac{2}{19}\\\\=\frac{30}{19}\\\\30 : 19[/tex]
circuference and area of a circle PLEASE HELP
Answers
Answer:
Area=12.56
Circumference= 12.56
Step-by-step explanation:
Area formula is [tex]\pi r^{2}[/tex]
Circumference is [tex]2\pi r[/tex]
Answer:
radius=diameter/2
=4/2=2
circumference of a circle= 2πr
=2*3.14*2
=12.56ft
area of a circle=πr2
=3.14*2*2
=12.56ft
HI I NEED THE ANSWER TO THESE ASAP! I have 5 minutes...
Find the measure of each missing angle
Answers
Answer:
Step-by-step explanation:
m3= 29%
m6= 35%
m7= 90%
Find the gradient of the line y= -4x + 5
Answers
Answer:
m = -4
Step-by-step explanation:
The given y= -4x + 5 exactly matches the format of the slope-intercept equation y = mx + b.
Thus, the gradient (slope) of the given line is -4.
Please help me !!!!
Answers
Answer:
2(x+3)
Hope u get it correct!!!
Step-by-step explanation:
Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and
all angle measures to the nearest whole degree.
Answers
Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Find <A:
Reference angle (θ) = A
Opposite side = 14 cm
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin A = 14/20
A = [tex] sin^{-1}(\frac{14}{20}) [/tex]
m<A = 44° (nearest whole number)
✔️Find <C:
Reference angle (θ) = C
Adjacent side = 14 cm
Hypotenuse = 20 cm
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos C = 14/20
C = [tex] cos^{-1}(\frac{14}{20}) [/tex]
m<C = 46° (nearest whole number)
✔️Find AB:
Reference angle (θ) = C = 46°
Opposite side = AB
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Sin 46° = AB/20
20*Sin 46° = AB
AB = 14.4 cm (one decimal place)
Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 10 to 26, in increments of 1. A left whisker extends from 12 to 15. The box extends from 15 to 21 and is divided into 2 parts by a vertical line segment at 19. The right whisker extends from 21 to 24. All values estimated.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
121212, 151515, 151515, 171717, 202020, 202020, 202020, 222222, 242424
(Choice B)
B
121212, 151515, 151515, 171717, 191919, 191919, 202020, 222222, 242424
(Choice C)
C
121212, 151515, 171717, 171717, 191919, 191919, 222222, 222222, 242424
(Choice D)
D
131313, 151515, 151515, 171717, 191919, 191919, 202020, 222222, 2424
Answers
What value of a would make the graph of f(x)= ax2 open up?
A. -8
B. 0
C. 10
D. -21
Answers
Answer:
The equation is unsolvable when the 'a' variable is in it, so if we take it out, then all of them would make the equation open up.
Sorry for not giving a definite answer, but that is what I got.
Hope that this helps!
The table represents a sample of ages and people and their shoes size.
please help me and let me know if this is a function or not and please show me how you got it
Answers
Answer:
The table does not represent a function.
Step-by-step explanation:
Every function must have a exactly one y-value for every x-value. Two different x-values can have the same y-value, but two different y-values cannot have the same x-value.
In the table, we see that the same x-value has two different y-values:
[tex](15, \textbf{10}),\\(15, \textbf{10.5})[/tex]
Thus, the table does not represent a function.
