Answer:
532.79yards²
Step-by-step explanation:
Surface area of a pyramid = A + 1/Ph
A is the base area
P is the perimeter of the base
h is the height of the pyramid
Given the following
Height of triangular base = 17.3yards
Base of the triangle = 20yards
Height of prism = 12yards
Base Area = 1/2 × 20×17.3
Base Area = 10×17.3
Base Area = 173yd²
For the Perimeter P
Get the slant height using Pythagoras theorem
s² = (20/2)²+17.3²
s² = 10²+17.3²
s² = 100+299.29
s² = 399.29
s = √399.29
s = 19.98
Perimeter = 19.98+19.98+20
Perimeter = 59.96yards
Substitute
Surface Area = 173+1/2((59.96)(12)
Surface Area = 173+6(59.96)
Surface Area = 173+359.79
Surface Area = 532.79yards²
1. Use the triangle below to determine the values indicated:
Answer:
A. Sine Y = 20 / 29
B. Cos Y = 21 / 29
C. Tan Y = 20 / 21
D. Sine Z = 21 / 29
E. Cos Z = 20 / 29
F. Tan Z = 21 / 20
Step-by-step explanation:
A. Determination of Sine Y
Opposite = 20
Hypothenus = 29
Sine Y =?
Sine Y = Opposite / Hypothenus
Sine Y = 20 / 29
B. Determination of Cos Y
Adjacent = 21
Hypothenus = 29
Cos Y =?
Cos Y = Adjacent / Hypothenus
Cos Y = 21 / 29
C. Determination of Tan Y
Opposite = 20
Adjacent = 21
Tan Y =?
Tan Y = Opposite / Adjacent
Tan Y = 20 / 21
D. Determination of Sine Z
Opposite = 21
Hypothenus = 29
Sine Z =?
Sine Z = Opposite / Hypothenus
Sine Z = 21 / 29
E. Determination of Cos Z
Adjacent = 20
Hypothenus = 29
Cos Z =?
Cos Z = Adjacent / Hypothenus
Cos Z = 20 / 29
Determination of Tan Z
Opposite = 21
Adjacent = 20
Tan Z =?
Tan Z = Opposite / Adjacent
Tan Z = 21 / 20
can somebody help me?
Answer:
D
Step-by-step explanation:
Simplify the expression by combining like terms:
-5y+2y
Answer:
Step-by-step explanation:
You can think of it like adding two regular numbers, but you have to keep the y so:
-5y + 2y = -3y
Do you help elementary school age children need help explaining a math problem to help him.
Answer:
yes
Step-by-step explanation:
If you post a question I will help anyone.
Answer:
I would love to help anyone and I wouldn't judge the person's age. You can ask me any math question and I will have an answer for you
the average of 5 consecutive number is 15 and if next two number also included then what will be the effect on average
Answer:
The average of these numbers will rise to 16.
Step-by-step explanation:
Given that the average of 5 consecutive number is 15, to determine what would be the effect on the average if the next two numbers were also included, the following logical reasoning must be performed:
13 + 14 + 15 + 16 + 17 = 75/5 = 15
Thus, if the numbers 18 and 19 are added, and then this result is divided by 7, the following average is obtained:
(75 + 18 + 19) / 7 = X
112/7 = X
16 = X
Thus, the average of these numbers will rise to 16.
ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample
Answer:
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Within 4 years of the actual mean
We have to find n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.056\sqrt{n} = 4\sigma[/tex]
[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]
[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]
[tex]n = (\frac{4\sigma}{2.056})^2[/tex]
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
5
Find two numbers with a sum of 15 and a difference of 3.
Step-by-step explanation:
let the no be x and y
x+y=15
y=15-x.......eqn i)
x-y=3..........eqn ii)
putting value of y from eqn i ) to eqn ii)
x-y=3
x-(15-x)=3
x-15+x=3
2x-15=3
2x=18
x=9
no,putting value of x in eqn i)
y=15-x
y=15-9
y= 6
So,the value of x is 9 and y is 6
all points of the step function f (x) are graphed
What is the area of this figure ?
I don't see a figure, but to find area use the formula:
A= W x H
(W= width H= height)
n + 9 = 14 solve isolate the variable
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
n + 9 = 14
=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]
=> n = 5 (Ans) [ Variable isolated]
need help with thiss guys!!!
2x3/12 as a fraction
Answer:
1/2
Step-by-step explanation:
2*3=6
6/12=1/2
Answer:
[tex]\frac{1}{2}[/tex]--> 1/2
Step-by-step explanation:
3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2
find the value of x if log3 625=x
Given:
The equation is
[tex]\log_3625=x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\log_3625=x[/tex]
It can be written as
[tex]\log_3(5)^4=x[/tex]
[tex]4\log_3(5)=x[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex] [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]
[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]
[tex]x\approx 5.8599[/tex]
Therefore, the value of x is about 5.8599.
Which graph shows a dilation?
Answer this correctly I'll give brainalist + 10 points
Answer:
22
Step-by-step explanation:
22.5 is more accurate
A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches are needed.
Answer:
6 benches are needed
Step-by-step explanation:
3/4= 6/8
1/8 goes into 6/8, 6 times so,
6 benches are needed on the 3/4 mile trail
Determine the equation for the line that has a slope of -2 and a y intercept of 5
PLEASE HELP!
F.11
G.12
H.22
J.24
Answer:
G. 12
Step-by-step explanation:
5/10=(x+5)/(3x+3)
1/2=(x+5)/(3x+3)
Cross multiply
3x+3=2x+10
x=7
AC=x+5=12
How many inches are equal to 16 feet
Step-by-step explanation:
16 feet is equal to 192 inches.
Hope it helps :)❤
Answer:
192 inches is equal to 16 feet.
(Hope this helps! Btw, I answered first. Brainliest please! :D)
3x+5=12-7x solve? Help
Answer:
3x + 5 = 12 - 7x
⇒ 3x = 12 - 5 - 7x
⇒ 3x = 7 - 7x
⇒ 3x + 7x = 7
⇒ 10x = 7
⇒ x= 7 ÷ 10
⇒ x = 0.7
loan or 6075450 from a bank and collected 9037680 as donation. How much is
the society atill short or
18. A man had 10072540 with him. He gave 4836080 to his wife, #3964790 to his son and
the rest to his daughter, How much money was received by the daughter?
10. The cost of a
Answer:
His daughter received $ 1,271,760.
Step-by-step explanation:
Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:
10,072,540 - 4,836,080 - 3,964,790 = X
5,236,460 - 3,964,790 = X
1,271,670 = X
Thus, his daughter received $ 1,271,760.
In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.
Answer:
1420
Step-by-step explanation:
delta math
The required length of n is 1419.5 cm which is determined by the Law of Cosines.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
In triangle ΔLMN,
l = 810 cm, m = 620 cm and ∠N=166°.
We have to determine the length of n
The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.
n² = l² + m² − 2lm cos(N)
Substitute the values in the above formula and solve for n
n² = 810² + 620² − 2 × 810 × 620 × cos(166°)
n² = 810² + 620² − 104400 × cos(166°)
n = ±1419.5
n = 1419.5, and n = - 1419.5
Neglected the value of n = - 1419.5 because length should not be negative.
n = 1419.5 cm
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ2
General Logs Banana Bombs cereal is sold in 10.40 ounce packages. Because the cereal is sold by weight, the number of pieces of Banana Bombs varies from box to box. A random sample of 19 boxes of Banana Bombs was sampled and the number of pieces in each box was counted. The sample mean for 19 boxes was 696.58. The quality control engineer knows from the experience that population standard deviation is assumed to be 12.33 and that the number of pieces of Banana Bombs arenormally distributed.a.Construct a 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages.
Answer:
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{12.33}{\sqrt{19}} = 7.28[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 696.58 - 7.28 = 689.3 pieces
The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
Use intercepts to graph the linear equation 3x - y = -5.
x intercept
y intercept
step by step
Answer:
x intercept =(-5/3,0)
y intercept = (0,5)
Step-by-step explanation:
FOR THE X INTERCEPT:
-plug 0 in for the y value because the y value is 0 at the x intercept.
* 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0
FOR THE Y INTERCEPT
-do the same thing as the x intercept, but instead of making y 0, make x 0.
* 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0
Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.
What is the volume of an aquarium if 50cm long 10 cm broad 15 cm high
Answer:
Im pretty sure its 7.5 litres i might be wrong still.
Answer:
7,500 cm
Step-by-step explanation:
It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.
Graph the linear equation. Find three
points that solve the equation, then
plot on the graph.
3x - 4y = -18
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750?
Step-by-step explanation:
there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750
There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Answer:
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Step-by-step explanation:
The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
There are 797 identical plastic chips numbered 1 through 797 in a box.
This means that [tex]a = 1, b = 797[/tex]
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?
[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Please hurry it’s missing