Answers
Answer:
17150 ft²
Step-by-step explanation:
similar rectangles means that the scaling factor from one rectangle to the other is the same for every side. and so the relative ratio of length and width stays the same.
in our case now the 2 widths are 175 feet and 40 feet.
the scaling factor f from small to large is therefore 175/40 = 35/8.
width large = width small × f
length large = length small × f
the area of a rectangle is length × width.
we know the area of the small rectangle (896 ft²).
Asmall = 896 = length small × width small
now the area A of the large rectangle is
A = length large × width large =
= length small × f × width small × f =
= length small × width small × f² = Asmall × f² =
= 896 × (35/8)² = 17150 ft²
Related Questions
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answers
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
Please I need help with this answer please
Answers
Step-by-step explanation:
Ans is C
Y intercept in the negative part of y so it's - 3
The slope is going up with respect to y-axis and rise < run so it's 2/3
Evaluate the integral. (Use C for the constant of integration. Enter your answer using function notation - use ln(x) instead of ln x.)
Answers
Answer:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx[/tex]
Required
Integrate
Using partial fraction, we have:
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
Take LCM
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{(Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)}{(x^2 + 1)(x^2 + 3)}[/tex]
Cancel out the denominators
[tex]3x^3 + 4x^2 + 9x + 4} = (Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)[/tex]
Open brackets
[tex]3x^3 + 4x^2 + 9x + 4} = Ax^3+Bx^2 + 3Ax +3B+ Cx^3 + Dx^2 + Cx + D[/tex]
Collect like terms
[tex]3x^3 + 4x^2 + 9x + 4 = Ax^3+ Cx^3+Bx^2+ Dx^2 + 3Ax+ Cx +3B + D[/tex]
Compare like terms on opposite sides
[tex]Ax^3 + Cx^3 = 3x^3[/tex] [tex]A + C = 3[/tex]
[tex]Bx^2 + Dx^2 = 4x^2[/tex] [tex]B + D = 4[/tex]
[tex]3Ax + Cx = 9x[/tex] [tex]3A + C = 9[/tex]
[tex]3B + D = 4[/tex]
Subtract [tex]B + D = 4[/tex] from [tex]3B + D = 4[/tex]
[tex]3B - B + D - D = 4 - 4[/tex]
[tex]2B + 0 = 0[/tex]
[tex]2B = 0[/tex]
[tex]B = 0[/tex]
[tex]B + D = 4[/tex]
[tex]D =4 - B[/tex]
[tex]D =4 - 0[/tex]
[tex]D =4[/tex]
Subtract [tex]A + C = 3[/tex] from [tex]3A + C = 9[/tex]
[tex]3A - A + C - C = 9 - 3[/tex]
[tex]2A = 6[/tex]
[tex]A = 3[/tex]
[tex]A + C = 3[/tex]
[tex]C = 3 - A[/tex]
[tex]C = 3 - 3[/tex]
[tex]C = 0[/tex]
So, we have:
[tex]A = 3[/tex] [tex]B = 0[/tex] [tex]C = 0[/tex] [tex]D =4[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x+0}{x^2 + 1} + \frac{0*x + 4}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}[/tex]
The integral becomes:
[tex]\int\limits {[\frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}]} \, dx[/tex]
Split:
[tex]\int\limits {\frac{3x}{x^2 + 1} \, dx + \int\limits {\frac{4}{x^2 + 3}} \, dx[/tex]
Split
[tex]\frac{3}{2} \int\limits {\frac{2x}{x^2 + 1} \, dx + 4\int\limits {\frac{1}{x^2 + 3}} \ dx[/tex]
Integrate
[tex]\frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}\frac{x}{\sqrt 3} + c[/tex]
Hence:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
please answer all thanks
Answers
Answer:
solution given:
5.
Cos 42=adjacent/hypotenuse
cos 42=x/32
x=Cos 42*32
x=23.8
6.
sin 26=opposite/hypotenuse
sin26=22/x
x=22/sin26
x=50.19
x=50.2
in a bag I have 16 yellow marbles, 14 by marbles and 10 black marbles. If I draw to marbles, one at a time, what’s my probability of drawing a black marble, putting it back and then choosing a yellow marble
Answers
Answer:
1/10
Step-by-step explanation:
There are 16+ 14+10 = 40 marbles
P( black) = black/total = 10/40 = 1/4
We put it back
There are 16+ 14+10 = 40 marbles
P( yellow) = yellow/ total = 16/40 = 2/5
Multiply the probabilities together
P( black, yellow) = 1/4 * 2/5
= 2/20 = 1/10
Explain WHEN and WHY you would use the median as a best measure of center (instead of either the mean or median)
Answers
Answer:
Easy
Step-by-step explanation:
The median is just picking the middle number of a sequence of numbers.
The mean is only used to find the average of the numbers
so hope that settles it
what is 41393415 in kg?
Answers
Answer:
41393415 in kg is 1.8776E+07, or about 18775737.2.
Step-by-step explanation:
For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.
The area of a rectangle is represented by 12n^2 - 19n – 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n + 4
C. 14n - 8
D. 14n + 8
pls help!!!
Answers
Answer:
C 14n - 8
Step-by-step explanation:
area of rectangle = length × width = 12n² - 19n - 21
width = 3n - 7
so, what do we need to multiply with width to get the expression of the area ?
4n + 3
(because we think, what do we need to multiply 3n with to get 12n², and what to multiply -7 to get -21)
control : (3n-7)×(4n+3) = 12n²-28n+9n-21 = 12n²-19n-21
perimeter is now 2× length + 2× width
p = 2(3n-7) + 2(4n+3) = 6n - 14 + 8n + 6 = 14n - 8
84/120 simplified as a fraction
Answers
Question 13 of 47
What is the sum of the complex numbers below?
(5-8i) + (1-11i)
a. 6+19i
b. -6+19i
c. -6-19i
d. 6-19i
Answers
Answer:
d. 6-19i
Step-by-step explanation:
(5-8i)+(1-11i)
Step 1: Combine like terms within the parenthesis. There are no like terms within the parenthesis. So, drop the parenthesis and move on to the next step.
(Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).
5 - 8i + 1 - 11i
Step 2: Now add like terms.
5 + 1 - 8i - 11i
6 - 19i
You can't combine any more like terms, so this is your final answer.
6 - 19i
Find the area of the shaded religion.
Giving brainliest! <3
Answers
Answer:
252
Step-by-step explanation:
12*18+6*6
Answer:
about 180 tell me if im wrong
Find the value Z a/2 needed to construct a confident
interval with the given level of 99.7%
Answers
Answer:
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
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 - 0.997}{2} = 0.0015[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0015 = 0.9985[/tex], so Z = 2.96.
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
Question on the image
Answers
Answer:
7 upon 10
ok
I Hope I helped
Little help here
i finished Part A
Part B i dont know it ;-;
Answers
Answer:
image is not clear
Step-by-step explanation:
Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answers
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1
Answers
Answer:
A. y = cos(x) - 2
Step-by-step explanation:
The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.
However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.
Can someone please help with this one? Thank you!
Answers
Answer:
A'(5,1), B'(3,2), C'(4,5)
A journey between two towns, Pietermaritzburg and Durban, is exactly 90 km 3.1 Use a graph (with at least 5 different speeds in km/h) to model how variation in speed (x) over the journey causes variation in time taken (y) to complete the trip.
Answers
Answer:
Speed in km/hr Time in Minutes
90 60
45 120
30 180
15 360
10 540
time Decrease when speed increase
Number of times the speed is increased the number of times time taken is reduced so it is not possible to take no time at all
as we can see from the graph that it is exponential , reduction in time keep reducing with increase in speed
Step-by-step explanation:
What is the volume of the figure below in cubic meters
756
936
1008
1080
Answers
Which of the following values have 3 significant figures? Check all that apply.
Answers
OPTION C AND D
99.8 AND 458 are the values have 3 significant figures
Suppose that four men and four women will be randomly lined up, from left to right, with all possible orderings of these eight people being equally likely. What is the probability that the men will be in alphabetical order, from left to right, and at the same time the women will also be in alphabetical order, from left to right
Answers
Answer:
P = 1 / 40320 or P = 2.48*10⁻⁵
Step-by-step explanation:
The total number of outcomes To is:
To = 8! To = 8*7*6*5*4*3*2
To = 40320
Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:
P = 1 / 40320 or P = 2.48*10⁻⁵
The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is
$27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the
rental fee is the same for both agencies?
Answers
Answer:
Step-by-step explanation:
Formulas:
C = 24.50d + 15.99
C = 27.50d + 3.99
y = 24.5d + 15.99
y = 27.5d + 3.99
The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT
Answers
Answer:
c
Step-by-step explanation:
OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so
Answer:
Solution given:
Annie needs 250 lb of cement to fix the outer step.
Each bag hold 40 lb of cement.
Now
40 lb =1bag
we need
250lb= ? bag.
we have
no of bag =needed lb/1 bag's lb=250/40=250/40=6.25
we do not need more than 7 bags
Annie needs 7 bags.
So
The required inequality is:
b≥7.
If 16x2 + nx + 49 is the square of a
binomial, then what value could n be?
A.14
B.28
C.42
D.56
Answers
Answer:
Th correct option is (d).
Step-by-step explanation:
The given expression is :
[tex]16x^2 + nx + 49[/tex] ....(1)
We know that, 16 = 4² and 49 = 7²
Also, (a+b)² = a²+2ab+b²
The given expression becomes,
[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]
Comparing equations (1) and (2),
n = 56
Hence, the value of n is equal to 56.
If the measure of angle 2 is 2x+3 and the measure of angle 4 is 4x-7, what is x?
Answers
Answer:
-92
Step-by-step explanation:
2x+3-4x-7=180
Which expression represents the following statement? The quotient of 16 and 4 times 7 less than 11. (4 points)
Answers
Answer:
16/ 4 (11-7)
Step-by-step explanation:
The phrase "quotient" tells us that there is division involved. The phrase "times" tells us that there is multiplication involved. The phrase "less" tells us that there is subtraction involved. Using these terminologies and clues, you can basically put together the equation 16/ 4 (11-7).
Banjo is baking his favorite dessert the recipe calls for a 5/8 of a stick of butter but he wants to double the recipe how much butter will bjorn need
Answers
Answer:
1 stick and 1/4
Step-by-step explanation:
5/8 plus 5/8 equals 10/8, making it 1 and 2/8 and 2/8 can be simplified to 1/4th
please help! find the surface area of the prism
Answers
Answer:
1. 172 cm²
2. 226.56 cm²
3. 336 cm²
4. 284 cm²
Step-by-step explanation:
which one ? all ?
a surface area of an object is always the sum of the individual shapes areas on its surface.
1. 6 rectangles (length×width)
2 rectangles of 2×8 = 16 cm²
32 cm²
2 rectangles of 2×7 = 14 cm²
28 cm²
2 rectangles of 7×8 = 56 cm²
112 cm²
total : 32+28+112 = 172 cm²
2. 2 triangles and 3 rectangles
2 triangles (baseline × height / 2) = 7.2×4.8/2 = 17.28 cm²
34.56 cm²
2 rectangles 10×6 = 60 cm²
120 cm²
1 rectangle 10×7.2 = 72 cm²
72 cm²
total : 34.56+120+72 = 226.56 cm²
3. 2 triangles (right-angled) and 3 rectangles
2 triangles (a×b/2) = 8×6/2 = 24 cm²
48 cm²
1 rectangle 6×12 = 72 cm²
72 cm²
1 rectangle 8×12 = 96 cm²
96 cm²
1 rectangle 10×12 = 120 cm²
120 cm²
total : 48+72+96+120 = 336 cm²
4. 6 rectangles
2 rectangles of 3×10 = 30 cm²
60 cm²
2 rectangles of 3×9 = 27 cm²
54 cm²
2 rectangles of 10×9 = 90 cm²
180 cm²
total : 60+54+180 = 294 cm²
the radius r of the circle below is 11cm
Answers
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} [/tex]
Step 1: Rewrite equation
As the first step, it is helpful to rewrite the equation for the area of a circle. The a will stand for area, the π will stand for pi, and the r will stand for radius.
a= πr²
Step 2: Substitute numbers
For step 2, we will substitute information. We are made aware that the radius is 11, so we will replace r with 11. To make the equation easier to understand, we will add the multiplication sign in between pi and 11 squared.
a= π•11²
Step 3: Solve using PEMDAS
To solve this equation, we will follow the order of operations, also referred to as PEMDAS, standing for parentheses-exponent-multiplication-division-addition-subtraction. According to this formula, the first thing we will need to do is solve for the exponent. To do so, let’s find the squared value of 11.
a= π•11²
a= π•121
For the next part, we need to multiply 121 by π for the final answer. For the sake of this problem, we will leave pi as 3.14. This can always be replaced by putting the pi symbol into your calculator, though we will use 3.14.
a= 3.14•121
a= 379.94
This is your answer. Hope this helps! Comment below for more questions.
plz i need the answer today
Answers
sorry
i dont know
i wish i could help
Answer:
Step-by-step explanation: