Unit 11: Value & Surface Area
Homework 1: Area of planes Figure
Pls Help me with #11
Answers
Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =
[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]
AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)
Related Questions
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?
Answers
Answer:
x = -56
Step-by-step explanation:
0.75(x + 20) = 2 + 0.5(x - 2)
0.75x + 15 = 2 + 0.5x - 1
0.25x = -14
x = -14/0.25
x = -56
0.75 (x + 20) = 2 + 0.5 (x − 2)
(0.75)(x)+(0.75)(20) = 2+(0.5) (x) + (0.5)(−2)
(Distribute)
0.75x + 15 = 2 + 0.5x + −1
0.75x + 15 = (0.5x) + (2 + -1)
(Combine Like Terms)
0.75x + 15 = 0.5x + 1
Step 2: Subtract 0.5x from both sides.
0.75x + 15 − 0.5x = 0.5x + 1 − 0.5x
0.25x + 15 = 1
Step 3: Subtract 15 from both sides.
0.25x + 15 − 15 = 1 − 15
0.25x = −14
Step 4: Divide both sides by 0.25.
0.25x/0.25 = −14/0.25x
x = -56
find the area in square inches of the following compsite figure
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What is the area of the shaded region?
Answers
Answer:
12
Step-by-step explanation:
sezxdrcf123456u7tyi7ouy09jiostxdfcghv tghvbyughjgbyugb7nyughb7nyujgkhnuyhkgjhbynuhjgkbynuhijgbyunhjgbyunhgbyuhjg
How do I solve this arithmetic sequence?
Answers
Answer:
7 times 50=350
Step-by-step explanation:
Answer:
a₅₀ = 252
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
a₅₀ = 7 + (49 × 5) = 7 + 245 = 252
BRAINLIEST! Algebra 2 4 questions with pictures.
Answers
Answer:
1. y=2x-2
Because the slope is 2 over 1. and the y-intercept is at -2.
2. I think is y=1/5x-2
Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. Which of the following is the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month?
Find the t-table here.
(21.85, 27.75)
(22.59, 27.01)
(22.96, 26.64)
(23.38, 26.22)
Answers
Answer:
C
Step-by-step explanation:
Took it
The confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64). Then the correct option is C.
What is the confidence interval of the sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as μ and
The sample standard deviation σ, and
The sample size = n, and
Then the heights would be outside the 90% confidence interval will be
For 90% confidence interval, we have z = 1.645
⇒ μ ± z (σ/√n)
Kat is interested in getting chickens, so she can have fresh eggs.
Before she buys her chickens, she wants to find the mean number of eggs each one will lay.
She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month.
She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs.
The 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month will be
⇒ μ ± z (σ/√n)
⇒ 24.8 ± 1.645 (6.9/√40)
⇒ 24.8 ± 1.84
Then the confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64).
Then the correct option is C.
Learn more about confidence interval of sample here:
https://brainly.com/question/23008823
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The probability of randomly selecting a white flower from a garden that has green, pink, yellow, and white flowers is 3%.
Which of the following describes the likelihood of selecting a white flower?
A. likely
B. unlikely
C. neither unlikely nor likely
Plz helppp
Answers
HELP!! I will give 30 poins and brainliest to the one who gives me the right answer FIRST!!
Answers
Answer:
What is the question
Step-by-step explanation:
Answer:
What the question?
Step-by-step explanation:
I need an answer! NO LINKS PLS! il give brainlist
Answers
Answer:
15 oz.
Step-by-step explanation:
It says that the average box contains 15 oz. So, if you have 50, it still would be about 15 as the average.
Solve for x pleasssee help
Answers
Answer:
x=8
Step-by-step explanation:
13=x+5
8=x
Answer:
x = 8
Step-by-step explanation:
Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:
x + 5 = 13
So now we have to do the inverse operations thingy:
13 - 5 = 8
So x = 8
tell me if this is wrong so I can fix it
hope this helps:)
The bakery packages 8 of the chocolate spheres into a box .If the density of the chocolate is 1.308 g/cm3 ,what is the total mass of the chocolate in the box
Answers
Answer:
m=DxV. 1.308x8= 10.464
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answers
Answer:
x ≤ 1/3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
distribute the 5, combine the x, add 10 to -8 to get 2 and finally 6x < 24,12,20 find the 41st term
Answers
Answer:
The 41st term of the given series is 324
Step-by-step explanation:
a= 4
a2= 12
d= a2-a
d= 12-4 = 8
now, we have to find 41 term that is a41
a41 = a+ 40d
a41= 4+ 40× 8
a41= 4+ 320
= 324
therefore the 41st term is 324
Answer:
324
Step-by-step explanation:
The sequence observed appears to be an arithmetic sequence. The formula for an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term position, and d is the common difference. Let's write down what we know.
n = 41
a1 = 4
d = 8
So, let's plug our values into the equation and solve.
an = 4 + (41 - 1)8
an = 4 + (40)8
an = 4 + 320
an = 324
Identify the coordinates of triangle ABC when it is dilated by a scale factor of 2 from the origin (0,0).
Answers
Answer:
[tex]A' = (-4,4)[/tex]
[tex]B' = (2,6)[/tex]
[tex]C' = (2,0)[/tex]
Step-by-step explanation:
Given [Missing from the question]
[tex]A = (-2,2)[/tex]
[tex]B= (1,3)[/tex]
[tex]C= (1,0)[/tex]
[tex]k = 2[/tex] --- scale factor
Required
The new coordinates
The new coordinate is calculated by:
[tex]New = Old * k[/tex]
So, we have:
[tex]A' = A * 2[/tex]
[tex]A' = (-2,2) * 2[/tex]
[tex]A' = (-4,4)[/tex]
[tex]B' = B * 2[/tex]
[tex]B' = (1,3) * 2[/tex]
[tex]B' = (2,6)[/tex]
[tex]C' = C * 2[/tex]
[tex]C' = (1,0) * 2[/tex]
[tex]C' = (2,0)[/tex]
A researcher is 95% confident that the interval from 3.6 hours to 8.1 hours captures μ = the true mean amount of daily screen time for US adults.
Is there evidence that the true mean number of hours of screen time for US adults is greater than 3.5?
No. There is not evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
No. There is not evidence that the population mean is greater than 3.5, because there are values within the 95% confidence interval other than 3.5.
Yes, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.
Answers
Answer:
d) Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.
Step-by-step explanation:
edge 2020
The evidence that the true mean number of hours of screen time for US adults is greater than 3.5 is there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
What is the confidence interval?It is an estimate of an interval used in statistics, which contains a population parameter. This unknown population parameter is found through a sample model calculated from the collected data.
The confidence level index is directly linked to the margin of error. In that case, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
See more about confidence interval at brainly.com/question/24131141
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Mike is reading a map with a scale of 1 in. = 35 mi. On the map, the
distance Mike must drive is 5.5 in. What is the actual distance he has to
travel?
Answers
Answer:
Actual distance represented by 5.5 inch of map distance is
[tex]192.5[/tex] miles
Step-by-step explanation:
Given,
The scale of map -
1 inch on map is equal to 35 miles.
Distance measured by mike on map is equal to 5.5 inch
Actual distance represented by 5.5 inch of map distance is
[tex]= 5.5 * 35 = 192.5[/tex] miles
X
у
-10
-25
-5
5
10
15
20
-20
-15
О-5
Answers
Answer:
c
Step-by-step explanation:
From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.
PLEASEEEEEE HEELLLPPP MEEEE!!!!
Answers
Answer:
the top one is posable oucomes and the the bottom is the other on
Step-by-step explanation:
Answer:
1 fav
2. possible
Step-by-step explanation:
HELP ME WITH THIS PLZ I DON'T UNDERSTEND IT PLZ HELP PPLLLZZZZZZ PLZ PLZ PLLZ HELP ME PLZ I NEED HELP PLZ HELP MMMEEEEE
Which question is statistical?
A.)What number of feet is equivalent to three miles?
B.)How many miles did your family drive last week?
C.)How many miles are between the library and the post office?
D.)How many miles does each member of the biking club ride each week?
Answers
Which figure will be produced by rotating Figure F 90° counterclockwise about the origin
(0,0)?
Answers
Answer:
The 3rd option
Step-by-step explanation:
Which ones are right?
Any links get reported!
Answers
Answer:
you did it right
I hope it's helps you
In circle R with m angle QRS= 90 and QR= 3 units find the length of arc QS round to the nearest hundredth
Answers
Answer:
4.71 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the above question,
r = QR = 3 units
θ = angle QRS= 90 = 90°
The length of the arc is calculated as:
2 × π × 3 × 90/360
= 4.7123889804 units
Approximately to the nearest hundredth = 4.71 units
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Answers
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
Find the value of x.
Need the answer ASAP please
Answers
Answer:
x = 8√3
Step-by-step explanation:
Mr. Mims had 50 bags of chips. He gave away 37 bags. What percent of the bags did he give away?
Answers
Answer:
74%
Step-by-step explanation:
How I did it is divided 37 and 50 (37/50 = 0.74)
son números racionales,
Answers
Sammie is buying an airline ticket. The ticket costs $125. She earns $12 an hour and has already saved $40. Write an inequality to find out how many hours (h) Sammie needs to work in order to buy her ticket. Do not solve.
Answers
Answer:
125=12x+40
Step-by-step explanation:
Let the number of hours be x
And the total amount be =$125
We already have $40
Hence the expression is
125=12x+40
If we solve for x, the answer gotten is the number of hours
A football field measures 300 feet in length. It can also be expressed as approximately
5.7 x 10^n .
If there are 5,280 feet in 1 mile , which is the most reasonable value of n.
Answers
Answer: n=-2
Step-by-step explanation:
Given
The length of the football field is [tex]300\ ft[/tex]
In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]
Also, [tex]5280\ ft=1\ mile[/tex] or
[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]
converting [tex]300\ ft[/tex] to miles
[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]
Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]
we get [tex]n=-2[/tex]
Please help, It feels like I know it but It won’t come to my brain
Answers
Answer:
D. m= x + 0.75
Step-by-step explanation:
Andrew is adding books to the backpack that already weighs 0.75 kg.
m= x+0.75
please i need this asap, look at the graph to the right. What is the equation for the line (in y=mx+b form)?
Answers
Answer:
The Answer is: y = - 2x + 8.
the y-intersept is 8, and the slope is -2x