Answer:
60m
Step-by-step explanation:
The formula for the area of a parallelogram is base x height.
b x h
6m x 10m = 60m
A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between AA and BB is 55 inches.
The surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
What is of total surface area of the rectangular prism?The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of the prism.
Total surface area of the rectangular prism is calculated with the following formula.
[tex]A=2(lb+bh+lh)[/tex]
Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.
A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A and B is 5 inches.
The length, width, and height of the prism is 5in, 3 in and 4 in long. Put these value in the above formula as,
[tex]A=2(5\times3+3\times4+5\times4)\\A=2(15+12+20)\\A=2(47)\\A=94\rm\; in^2[/tex]
The formula for surface area of one triangle prism is,
[tex]A_t=(a+b+c)l+bh[/tex]
Here, (a,b,c) are the sides of a triangle. The sides of the triangular face are 3 in, 4in and 5 in long. Thus, the surface area of it is,
[tex]A_t=(4+3 +5)5+3\times4\\A_t=(12)5+12\\A_t=72\rm\;in^2[/tex]
For the two triangular prism,
[tex]A_t=2\times72\\A_t=142\rm\; in^2[/tex]
Hence, the surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
Learn more about the total surface area of a rectangular prism here;
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#SPJ1
[tex]1. ) \: \frac{4}{5} + \frac{2}{3} = [/tex]
[tex]2. )4 \: \frac{8}{12} + 3 \frac{1}{6} =[/tex]
[tex]3. \frac{13}{17} + \frac{3}{4} = [/tex]
[tex]4. 23 \frac{1}{5} - 7 \frac{1}{4} =[/tex]
[tex] \\ [/tex]
With Solution!!
Answer:
1. 4/5+2/3=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(4/5, 2/3) = 15
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(45×33)+(23×55)=?
Complete the multiplication and the equation becomes
12/15+10/15=?
The two fractions now have like denominators so you can add the numerators.
Then: 12+10/15=22/15
This fraction cannot be reduced. The fraction
22/15 is the same as 22÷15
Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so
22/15=17/15
Therefore: 4/5+2/3=17/15
Solution by Formulas Apply the fractions formula for addition, to 4/5+2/3 and solve
(4×3)+(2×5)/5×3
=12+10/15
=22/15 Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so 22/15=17/15 Therefore:4/5+2/3=1 7/15
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
1.
4/5 + 2/312/15 + 10/1522/15 or 1 7/152.
4 8/12 + 3 1/64 2/3 + 3 1/614/3 + 19/628/6 + 19/647/6 or 7 5/63.
13/17 + 3/452/68 + 51/68103/68 or 1 35/684.
23 1/5 - 7 1/4116/5 - 29/423.2 - 7.2515.95319/20 or 15 19/20HELP PLEASE PYTHAGOREAN THEOREM
Your aunt sells magazine subscriptions by telephone. If each call she makes takes about 1/16 of an hour, how many calls can she make in 1/8 hours?
Answer:
2 calls
Step-by-step explanation:
1/16x=1/8
X=2
Consider the two regression lines 3x+2y=26 and 6x+y=31,
(a) Find the mean value and correlation coefficient between x and y.
(b) If the variance of y is 4, find the S.D. of x.
The regression lines 3x+2y=26 and 6x+y=31 are linear regressions
The mean values are 4 and 7 and the correlation coefficient between x and y is 0.25The standard deviation of x is 2/13The mean value and the correlationWe have the equations to be:
3x+2y=26 and 6x+y=31
Make y the subject in the second equation
y = 31 - 6x
Substitute y = 31 - 6x in the first equation
3x+2[31 - 6x] = 26
Expand
3x+ 62 - 12x = 26
Collect like terms
3x - 12x = 26 - 62
Evaluate
-9x = -36
Divide by - 9
x = 4
Substitute x = 4 in y = 31 - 6x
y = 31 - 6 * 4
y = 7
This means that the mean values are 4 and 7
To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.
So, we have:
y = 13 - 3x/2 and x = 31/6 - 1/6y
The above means that:
Bxy = -1/6 and Byx = -3/2
The correlation coefficient is then calculated as:
r^2 = Bxy * Byx
r = -1/6 * -3/2
r = 0.25
Hence, the correlation coefficient between x and y is 0.25
The standard deviation of xWe have:
Var(y) = 4
In (a), we have:
y = 13 - 3x/2
To solve further, we make use of:
Var(y) = Var(ax + b) = a^2Var(x)
This gives
Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)
So, we have:
Var(y) = 13^2 * Var(x)
Substitute 4 for Var(y)
4 = 13^2 * Var(x)
Divide both sides by 13^2
4/13^2 = Var(x)
Express 4 as 2^2
(2/13)^2 = Var(x)
So, we have:
Var(x) = (2/13)^2
Take the square root of both sides
SD(x) = 2/13
Hence, the standard deviation of x is 2/13
Read more about regression lines at:
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Differentiate y = tan²x from first principle
Answer:
[tex]y'=2sec^2(x)tan(x)[/tex]
Step-by-step explanation:
If the converse of a conditional statement is false, then what other statement must be false?
Answer:
The statement is false
Can someone help me super fast? The answers are (m+5n) (m-n) and (a+4b) (a-3b) I just need to know how to get them cuz my calculations aren't working
Let's see
#1
(m+5n)(m-n)m(m-n)+5n(m-n)m²-mn+5nm-5n²m²+4n-5n²#2
(a+4b)(a-3b)a(a-3b)+4b(a-3b)a²-3ab+4ab-12b²a²+ab-12b²Which angles are congruent to each other?
Answer:
5 and 7
Step-by-step explanation:
5 and 7 are vertical angles. The others are supplementary
Tomijia and her nine classmates took a standardized test. Their scores were: 42, 44, 56, 71, 74, 83, 89, 90, 90, 92 If Tomijia received an 89 on the test, which percentile is she in?
The percentile of Tomijia's scores is her score as a percentage
If Tomijia received an 89 on the test, she is in the 70th percentile
How to determine the percentile?
The score of the tests are given as:
42, 44, 56, 71, 74, 83, 89, 90, 90, 92
From the above list of scores, the score 89 is at the 7th position.
So, we have:
Tomijia = 7/10
Express as percentage
Tomijia = 70%
Hence, if Tomijia received an 89 on the test, she is in the 70th percentile
Read more about percentiles at:
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A haircut cost $16 which included tax. Joan tipped 20% and paid with a $50 bill. What was her change?
Answer:
32
Step-by-step explanation:
Answer: 30.8
Explanation: 20% of 16 is 3.2
16 + 3.2 = 19.2
50 - 19.2 = 30.8
I might be wrong but that's the answer I got
Triangle JKL has vertices at the following coordinates: J(2, 2), K(-1, 3), and L(-2, -1). Determine whether or not triangle JKL is a right triangle. Show all calculations for full credit.
Triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.
What is a Right Triangle?A right triangle is a triangle, whose set of sides are Pythagorean triple, that is, the square of the longest side equals the sum of the square of the other shorter sides.
Find the lengths of the sides of triangle JKL given:
J(2, 2)
K(-1, 3)
L(-2, -1)
Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], we have:
JK = √[(−1−2)² + (3−2)²]
JK = √10
KL = √[(−1−(−2))² + (3−(−1))²]
KL = √17
JL = √[(2−(−2))²+(2−(−1))²]
JL = √25
JL = 5
JL is the longest side. If triangle JKL is a right triangle, then, JL² = JK² + KL²
Plug in the values to confirm
5² = (√10)² + (√17)²
25 = 10 + 17
25 ≠ 27 (Not true)
Therefore, triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.
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Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?
Answer:
In that one week, his commision was $896, over all 52 weeks, he made $46592
Step-by-step explanation:
So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified, exact value in terms of PI (no approximations). The figures are based on semicircles or quarter circles, and problems (b), (c), and (d) involve portions of a square. Calculate area and perimeter
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(6)(6)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (3)^2}}\implies \boxed{18+4.5\pi} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{pythagorean~theorem}{CA^2 = AB^2 + BC^2\implies} CA=\sqrt{AB^2 + BC^2} \\\\\\ CA=\sqrt{6^2+6^2}\implies CA=\sqrt{6^2(1+1)}\implies CA=6\sqrt{2} \\\\\\ \stackrel{\textit{\Large Perimeters}}{\stackrel{triangle}{(6+6\sqrt{2})}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}2\pi (3)}}\implies \boxed{6+6\sqrt{2}+3\pi}[/tex]
notice that for the perimeter we didn't include the segment BC, because the perimeter of a figure is simply the outer borders.
For which values of x is the expression undefined
Answer:
x = 7
Step-by-step explanation:
x - 7 = 0
x = 7
peaches are being sold go $2 per pound. The customer created a model to represent the total cost of peaches bought. if x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
Answer:
y=2x
Step-by-step explanation:
x independent?
y dependent
positive change? so srry
Which of the following q values satisfies: 6-3q≤1
Q=0
Q=1
=
Q=2
Answer:
Q = 2
Step-by-step explanation:
6-3(2) = 0
0 ≤ 1
Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80? Hint: The distance between consecutive horizontal gridlines is 0.004.
PLEASE HELP
Using the area of the right triangle, it is found that the probability of a value in the sample space being anywhere from 60 to 80 is of 16%, hence option A is correct.
What is the area of a right triangle?
The area of a right triangle is given by half the multipliction of it's sides.
In this problem, the total area has sides 0.04 and 50, hence:
T = 0.04 x 50/2 = 1.
The area between 60 and 80 has sides 0.016 and 20, hence:
D = 0.016 x 20/2 = 0.16.
The probability is of 16%, hence option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer:
16%
Step-by-step explanation:
Find the following measure for this figure.
A radius of 5
and a length of 11
Lateral area = ?
a. 55 square units
b. 5√(47) square units
c. 5√(146) square units
Now
LSA:-
πrlπ(11)(5)55πunits ²(b) An Investment is estimated to grow at the rate al 15% per annum. If the worth of the Investment now is ¢850,000 i. What will its worth be in the 6th year? What is the percentage increase in its worth after 6th year? In what year will the investment worth ¢3.23million ?
Answer:
~9.6 years it will be worth 3.23 mil.
Step-by-step explanation:
This problem requires use of the growth formula.
PART 1:
Equation:
[tex]3,230,000 = 850,000 * (1.15)^6[/tex]
By solving this you get:
A valuation of $1,966,101.65078125 after 6 years
PART 2:
Equation:
[tex]3,230,000 = 850,000*(1+.15)^x[/tex]
By solving this (which im too lazy to show the steps for) you get:
x = years
x = ~9.6 years / 9.55196417 years
What is the difference between the
fastest sprint and the slowest sprint?
Fastest sprint - 12 2/4
Slowest sprint - 10 1/4
Answer:
2 1/4
Step-by-step explanation:
To find the difference, we must subtract the smaller number from the bigger one. In this case, the equation is 12 2/4 - 10 1/4.
Let us set aside the fraction and subtract 10 from 12 first.
12 - 10 = 2
Therefore, the whole number of the difference will be 2.
Let's solve for the fraction now.
2/4 - 1/4 = 1/4
Therefore, the fraction in the answer will be 1/4.
Add 2 and 1/4 to get 2 1/4, which is the answer.
I hope this helps and please mark me as brainliest!
PLEASE HELP ASAP PYTHAGOREAN THEOREM
11.66 or 12
Step-by-step explanation:
c^2 = a^2 + b^2
19^2 = 15^2 + b^2
361 = 225 + b^2
361 - 225 = b^2
136 = b^2
(square root of both sides)
b = 11.66or 12
Easy math will give brainlest
Answer:
1. 3 hours 2. 150 ft
Step-by-step explanation:
1. a) 50 + 60 + 60 + 60 = $230 = 3 hours
b) 80 + 50 + 50 + 50 = $230 = 3 hours
Answer: 3 hours
2. 10 * 5 * 3 = 150 ft
Answer:1 3 hours 2 150
Step-by-step explanation:
susan has a piggy bank with 32 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no repeats. If the piggy bank has $6.20, how many more quarters does Susan need before she has a quarter from each of the 50 states?
Answer:
26
Step-by-step explanation:
First, you need to find how many quarters there are. You can easily try to see the max amount of quarters you can fit. So, 24 quarters.
There are two dimes.
Susan needs 26 more quarters
A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Find (a) the selling price,
(b) the reduced price,
(c) the percent of markdown,
and (d) any operating or absolute loss.
Answer:
See belowStep-by-step explanation:
Initial cost = $52
Markup for operting expences = 34%
$52 + 34% = $52*1.34 = $69.68Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)d) The absolute loss:
$69.68 - $48.86 = $20.82Please help! I will give Brainliest!!!
Here are 3 receipts for meals at the same restaurant. Fill in the missing values for each recipe.
(receipt one)
burger = 9
18% tip = 2.16
total with tip = 14.16
(receipt two)
salad = 8
total = 11
total with tip = 12.98
(receipt three)
salad = 8
water = 1.5
total = 9.50
18% tip = 1.71
Step-by-step explanation:
calculator
What number must you add to complete the square?
x^2 + 8x = -3
A. 64
B. 8
C. 4
D. 16
Answer:
4
Step-by-step explanation:
Find the value of m if 13m + 24m = 41m
Answer:
m=0
Step-by-step explanation:
Add
13m
and
24m
.37
m=
41m
Move all terms containing m
to the left side of the equation.
Joann has 3 green marbles, 5 blue marbles, and 9 yellow marbles. what is the ratio of green marbles to blue marbles?
3:5
The question asks for the ratio of green marbles to blue marbles. As stated in the question itself, Joann has 3 green marbles and 5 blue marbles. We can ignore the yellow marbles, while we're at it.
Blue:green
3:5
(r - 4) + (y - 3) = 25
Answer:
[tex]beinggreat78~here~to~help~you.[/tex]
[tex]r = 16[/tex]
[tex]y = 16[/tex]
This is because if you subtract 16 by 4, and 16 minus 3, you get 13 and 12 as the quotients. Now, you want to add these 2 numbers together, which gives you 25.
