Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2
Step-by-step explanation:
We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.
Answer:
Perimeter: 95+15*sqrt(3)=120.98
Area: ([45*sqrt(5)]/2) + 600=605.3
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Answer:
2308.39 m³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(16.4 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8.2}^{3} [/tex]
[tex] = \frac{6925.18208}{3} [/tex]
[tex] = 2308.394027...[/tex]
= 2308.39 m³ (rounded to the nearest hundredth)
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate
Answer:
2/3 > 2/5 > 1/4
Step-by-step explanation:
Lucia - 2/3 - 40/60
Allie - 1/4 - 15/60
Carolina - 2/5 - 24/60
( in this case 60 is the LCM)
least to greatest
15/60 < 24/60 < 40/60
Hope this helps!
14. Which of these functions is not linear?
A) y=x^2-x
B) y=1-x
C) y=x/3
D) y=2/3x-2x
Answer:
A) y = x²- x
Step-by-step explanation:
A linear function will have y equal to x, without x being manipulated by a square root, exponent, etc.
y = x²- x has x being squared.
This will create a graph of a parabola, which is not linear.
So, since it is a quadratic instead of a line, answer choice A) y = x²- x is correct.
he following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 8 7 10 7 7 11 6 6 10 7 6 9 8 7 10 6 6 10 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Use
Answer:
Sum of Squares=50.5
Treatment Sum of Squares, 4.5
Error Mean Squares, 0.3
Treatment Mean Squares 0.9
Error Sum of Square = 3
Step-by-step explanation:
Given data
Observation A B C
1 8 7 10
2 7 7 11
3 6 6 10
4 7 6 9
5 8 7 10
6 6 6 10
A B C Row total (xr)
1 8 7 10 25
2 7 7 11 25
3 6 6 10 22
4 7 6 9 22
5 8 7 10 25
6 6 6 10 22
Col total (xc) 42 39 60 141
Using calculator for summarizing data
∑x²=1155 ⇒(A)
∑x²c/r=16(42²+39²+60²)
=1/6(1764+1521+3600)
=1/6(6885)
=1147.5⇒(B)
∑x²r/c=13(25²+25²+22²+22²+25²+22²)
=1/3(625+625+484+484+625+484)
=1/3(3327)
=1109⇒(C)
(∑x)²/n=(141)²/18
=19881/18
=1104.5⇒(D)
Sum of squares total
SST=∑x²-(∑x)²/n=(A)-(D)
=1155-1104.5
=50.5
Sum of squares between rows
SSR=∑x²r/c-(∑x)²/n=(C)-(D)
=1109-1104.5
=4.5
Sum of squares between columns
SSC=∑x²c/r-(∑x)²n=(B)-(D)
=1147.5-1104.5
=43
Sum of squares Error (residual)
SSE=SST-SSR-SSC
=50.5-4.5-43
=3
ANOVA table
Source Sums Degrees of Mean Squares
of Variation of Squares freedom F- value
SS DF MS
Between Treatments SSR=4.5 r-1=5 MSR=0.9 3
Between Blocks SSC=43 c-1=2 MS =21.5 71.6667
Error (residual) SSE=3 (r-1)(c-1)=10 MSE=0.3
Total SST=50.5 rc-1=17
You deposited 800 dollars in an account that pays 6% interest compounded monthly. How much will your account be worth after 10 years?
A. 276130.00
B. 849.46
C. 1456
D. 1455.52
b. If the radius of a circle is r сm, what
is the measure of its circumference?
Answer:
[tex]2 \times \pi \: \times r[/tex]
is the circumference of the circle
Answer:
Step-by-step explanation:
If the radius of a circle is r cm then
circumference = 2πr
Please help fast! I will give 15 points!
Answer:
srry I can't answer this question it's kinda of hard to solve srry
I’ll give brainlest please help!
Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net? 12 inches squared 24 inches squared 36 inches squared 48 inches square
Answer:
Surface area of triangular pyramid = 48 inch²
Step-by-step explanation:
Given:
Base length of triangle = 6 inches
Height of triangle = 4 inches
Find:
Surface area of triangular pyramid
Computation:
Surface area of triangular pyramid = 4 x [Surface area of triangle]
Surface area of triangular pyramid = 4 x [(1/2)(b)(h)
Surface area of triangular pyramid = 4 x [(1/2)(6)(4)
Surface area of triangular pyramid = 4 x [(1/2)(24)]
Surface area of triangular pyramid = 4 x 12
Surface area of triangular pyramid = 48 inch²
Frances practiced with her band for 2 hours on Friday, 4 hours on Saturday, and 2 hours on
Sunday. Her band practiced the same number of hours for the next two Fridays, Saturdays,
and Sundays. What is the total number of hours Frances and her band practiced?
Answer:
24 hours
Step-by-step explanation:
2+4+2 hours on Friday, Saturday, Sunday =8 hours per weekend
8 hours per weekend x 3 weekends = 24 total hours.
Need help on this subject ????
9514 1404 393
Answer:
(c) 2
Step-by-step explanation:
The product of the lengths to the near and far circle intercepts is the same for both secants.
3×(3+5) = 4×(4+x)
24 = 16 +4x . . . simplify
6 = 4 +x . . . . . . divide by 4
2 = x . . . . . . . . .subtract 4
Which is greater, -11 or -9 ?
Answer:
-9
Step-by-step explanation:for sure
Answer:
-9
Step-by-step explanation:
Look at a number line:
<----+------+------+------+------+------+------+------+------+------+------+------+------+------+-->
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
On a number line, a number to the right is always greater than a number to its left. Just like 1 is greater than 0, -9 is greater than -11.
-9 > -11
Answer: -9
Can someone please help me with this
Answer:
[tex](a)\ (1,5)[/tex]
Step-by-step explanation:
Given
[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]
Required
Which of the points does it pass through
To do this, we simply substitute the values of x and y in the above equation.
So, we have:
[tex](a)\ (1,5)[/tex]
[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]
[tex](1 + 9)^2 + (5 - 4)^2 = 101[/tex]
Solve each bracket
[tex]10^2 + 1^2 = 101[/tex]
[tex]100 + 1 = 101[/tex]
[tex]101 = 101[/tex]
The above equation is true,
Hence, it passed through [tex](1,5[/tex])
We do not need to check for others
A sample of a radioactive isotope had an initial mass of 730 mg in the year 2000 and
decays exponentially over time. A measurement in the year 2002 found that the
sample's mass had decayed to 510 mg. What would be the expected mass of the
sample in the year 2011, to the nearest whole number?
Answer:
102
Step-by-step explanation:
Consider the scatter plot shown complete the sentence the pattern of association between temperature and time is
Answer:
a
Step-by-step explanation:
How could I solve with a model
Gavin went on 24 runs last month that totaled 100 miles. Each run was a distance of either 3 miles or 5 miles. Which system of equations can be used to determine the number of 3-mile runs, x, and the number of 5-mile runs, y, that Gavin went on last month?
A.
x + y = 100
3x + 5y = 24
B.
x + y = 100
5x + 3y = 24
C.
x + y = 24
3x + 5y = 100
D.
x + y = 24
5x + 3y = 100
Answer:
d
Step-by-step explanation:
Your teacher has disabled instant marking. Your marks will appe
In the diagram below, LMOP is a rectangle whose perimeter is 30 cm.
LM = 12 cm
MNO is a right-angled triangle whose area is 12 cm².
L
12 cm
M
N
Р
Calculate the length of MN.
You must show your working.
+
[4]
Note: Make your final answer clear by writing 'MN = ...
Answer:
............
Step-by-step explanation:
.............
Please help me I'm so bad at math and doing AFDA really doesn't help..
Order the steps for this equation I guess pls help
Answer:
See the arrangement below
Step-by-step explanation:
Given the expression
2x^2+x - 9 = 4x
Step 1: Write in standard form
2x^2 + x - 9 - 4x = 0
2x^2 + x - 4x - 9 = 0
2x^2 - 3x - 9 = 0
Step 2; identify the coefficients
The standard quadratic expression is ax^2+bx+c = 0
a = 2, b = -3, c = -9
Step 3: Using the general formula to find the roots
x = -b±√b²-4ac/2a
x = -(-3)±√(-3)²-4(2)(-9)/2(2)
Step 4: simplify
x = -(-3)±√(-3)²-4(2)(-9)/2(2)
x = 3 ±√9+72/4
Step 5; Find the roots
x = 3 ±√81/4
x = 3 ±9/4
x = 3+9/4 and 3-9/4
x = 12/4 and -6/4
x = 3 and -3/2
please help. I need this one and my last question and im done
Answer:
The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].
Step-by-step explanation:
First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]
This gives us 4 as our value of x.
Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.
Thus, x=4 and area=60.
Good day from NightyKnight.
What is the shape of
its bases?
A. Circle
B. Heptagon
C. Rectangle
D. Triangle
Answer:
C. Rectangle
Step-by-step explanation:
Hope it helps you in your learning process.
A rectangle measures 2 2 /3 inches by 1 2 /9 inches. What is its area?
Answer:
88/27 or 3 7/27 in^2
Step-by-step explanation:
Multiply the length and width together:
2 2 /3 times 1 2 /9
We could either convert these measurements to improper fractions and then multiply, or we could use a calculator: 2+(2/3) ENTER x (1 + 2/9) ENTER.
Result: 3.259 in^2 (approximately) or 88/27 in^2 (exact answer)
15. Beth opens a savings account with $400. The account earns 6% interest. What will her account
value be in 5 years?
Answer:
535.29
Step-by-step explanation:
If you multiply 400 by 1.06 five times, you get 535.29.
400*1.06=424
424*1.06=449.44
449.44*1.06=476.4
476.4*1.06=504.99
504.99*1.06=535.29
Hope that this helps!
PLEASE HELP :c
The figure below shows a shaded rectangle inside a large rectangle:
If you choose a point inside the large rectangle, what is the probability that it is not inside the shading rectangle?
A - 24%
B - 27%
C - 46%
D - 54%
Answer:
c
Step-by-step explanation:
which sentence can represent the inequality box+ 204?
O The sum of half of a number and three-fourths is at least five and one quarter,
Half the sum of a number and three-fourths is not more than five and one quarter,
The sum of half of a number and three-fourths is at most five and one quarter,
Half the sum of a number and three-fourths is not less than five and one quarter
Answer:
first one
Step-by-step explanation:
is at least
Evaluate: Show your work
Find the value of the variable.
34+5x=64
PLEASE HELP ME. I could really use your help.
A rotating lawn spinner sprays water on a circular area of grass, The radius of the circular area is 8ft. What measurement is closest to the area.
Answer:
Area of circle = 201.09 ft²
Step-by-step explanation:
Given the following data;
Radius, r = 8 ft
To find the area of the circular area;
Area of circle = πr²
Area of circle = 3.142 * 8²
Area of circle = 3.142 * 64
Area of circle = 201.09 ft²
Therefore, the measurement which is closest to the area is 201.09 square feet.
Yall pleae help i will mark brainliest pleae hellppp
Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. Number of Computers 20 GB drive 40 GB drive 80 GB drive 160 GB drive Store 1 13 11 19 9 Store 2 109 44 57 7 Use this data and a .05 significance level to test the claim that the type of hard drive and the store where the computers were bought are independent. g
Answer:
The calculated χ² = 21.455 falls in the critical region χ² ≥ 7.815 so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: the type of hard drive and the store where the computers were bought are dependent
against the claim
Ha: the type of hard drive and the store where the computers were bought are independent
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with ( 4-1) (2-1)= 3 d.f
4) Computations:
Using the calculator we summarize the results as
Under H0 , the observed frequencies are :
Observed Expected E χ²= (O-E)²/E
13 (23.58) [4.75]
11 (10.63) [0.013]
19 (14.69) [1.264]
9 (3.09) [11.282]
109 (98.42) [1.138]
44 (44.37) [0.003]
57 (61.31) [0.303]
7 (12.91) [2.703]
∑ 21.455
5) Conclusion:
The calculated χ² = 21.455 falls in the critical region χ² ≥ 7.815 so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.
The p-value is .000085.
The result is significant at p < .05 meaning the claim is accepted.
Find the probability of a choosing a student that is taking a foreign language, given that the student is playing a sport using the Venn Diagram below.
Answer:
7/25
Step-by-step explanation:
In simpler words, the problem wants us to find the probability of choosing a student that both play a sport and takes a foreign language.
To find this, we need to locate the intersection in the Venn diagram which is
14.
The intersection represents the number of students that both play a sport and take a foreign lang.
We have our favorable outcomes of 14.
Our total outcomes can be found by adding all the numbers like so:
23+14+10+3=50
The theoretical probability theorem is:
Number of favorable outcomes/number of total outcomes.
So our answer is 14/50, or simplified as 7/25!
Hope it helps! :))