The ratio of the surface area of solid A to the surface area of solid B is 1/64
How to calculate the ratio of similar shapesThe volume is the amount of substance an object contains
Given the following parameters
Volume of solid A = 28m^3
Volume of solid B = 1,792m^3.
Calculate the ratio of the surface areaRatio = A/B
Ratio = 28/1792
Ratio = 1/64
Hence the ratio of the surface area of solid A to the surface area of solid B is 1/64
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Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 3/5
Angle Y
Angle A
Angle B
Angle C
Angle W
Angle Z
Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
consider the right triangle shown. what are the values of sin x and cos x?
A. sin x = 5/13, cos x = 12/13
B. sin x= 12/13, cos x= 5/13
C. sin x= 13/5, cos x= 13/12
D. sin x = 13/12, cos x= 13/5
Answer:
A. sin x = 5/13, cos x = 12/13
The area of a rectangle is 46.56 mm2.
If the width is 9.7 mm, find the length.
Answer:
The length is 4.8 mm
Step-by-step explanation:
The area of a rectangle is calculated by multiplying the length times the width. So:
46.56 = l * w
46.56 = l * 9.7
To find the length, we must get "l" alone. To do this, we must divide both sides by 9.7.
46.56/9.7 = 4.8
4.8 = l
The length is 4.8
Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months. a. $93.32 b. $95.40 c. $211.33 d. $253.60 please select the best answer from the choices provided a b c d
The monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
loan amount P = $3000
Rate of interest = 7.5% per annum
So, monthly rate of interest r= 7.5/12 %
Tenure n = 36 months
What is the formula to calculate monthly payments?The formula to calculate monthly payments is given
[tex]EMI=\frac{Pr}{1-(r+1)^{-n} }[/tex]...........(1)
Where P =loan amount
r = monthly rate of interest
n=tenure
So by substituting the given values in (1) the monthly payment = $93.32
Hence, the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
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hope someone answer it
Answer:
9) A. ∠1 and ∠3
10) B. Angle 2
11) B. 110°
12) B. 70°
Step-by-step explanation:
Vertical angles: a pair of opposite angles formed by two lines intersecting. Vertical angles are congruent.
The vertical angles in the given diagram are ∠1 and ∠3 AND ∠2 and ∠4
These pairs of angles are equal, so: ∠1 =∠3 AND ∠2 =∠4
Therefore:
If ∠1 = 110° then ∠3 = 110°
If ∠2 = 70° then ∠4 = 70°
What is the solution for the equation startfraction 5 over 3 b cubed minus 2 b squared minus 5 endfraction = startfraction 2 over b cubed minus 2 endfraction? b = –4 and b = 0 b = –4 b = 0 and b = 4 b = 4
An equation is formed of two equal expressions. The solution of the equation is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be written as,
[tex]\dfrac{5}{3b^3-2b^2-5} = \dfrac{2}{b^3-2}\\\\5(b^3-2) = 2(3b^3-2b^2-5)\\\\5b^3-10=6b^3-4b^2-10\\\\5b^3-10-6b^3+4b^2+10=0\\\\-b^3+4b^2=0\\\\b^2(-b+4)=0\\\\-b+4=0\\\\-b=-4\\\\b=4[/tex]
Thus, the solution of the equation is 4.
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Answer:
c
Step-by-step explanation:
Find x and y... Thanks!
Dana made a paper box that is 8 in. long, 5 in. wide, and 1in. high. It is shaped like a rectangular prism. What is the surface area of the box?
PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS
Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0
then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0
then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075
P
Answer:
ture,false,true,true,false,true
Step-by-step explanation:
it is very easy just read it carefuly and then add it up
4. A liter is equal to 1000 cm3. How many liters of water are needed to fill a cylindrical tank that is 1.1 m long and a radius of 0.3 m? A. 150.72 L B. 200.27 L C. 300.72 L D. 310.86 L hold nn ml water How much
Answer:
D. 310.86 L
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\pi r^2h[/tex]
where:
[tex]r[/tex] is the radius[tex]h[/tex] is the heightGiven:
r = 0.3 mh = 1.1 m[tex]\pi[/tex] = 3.14[tex]\implies \sf \textsf{Volume of the tank}=(3.14)(0.3)^2(1.1)=0.31086\:m^3[/tex]
[tex]\sf 1\:liter = 1000\:cm^3[/tex]
To convert cubic cm to cubic meters, divide by 1,000,000:
[tex]\implies \sf 1\:liter =\dfrac{1000}{1,000,000} = 0.001\:m^3[/tex]
[tex]\implies \sf \textsf{Volume of the tank}=\dfrac{0.31086}{0.001}=310.86\:L[/tex]
Find the SURFACE AREA of the shape below.
Answer:
total surface area 84.72 m2
lateral surface area 68.44 m2
top surface area 8.14 m2
bottom surface area 8.14 m2
m2= squared btw
The circumference of a circle is 15(pie) centimeters. what is the area Of the circle in terms of (pie)
Answer:
56.25π cm^2
Step-by-step explanation:
circumference = 15π
diameter*π = circumference
diameter = 15π/π
radius*2 = diameter
radius*2 = 15
radius = 7.5
area = π*radius^2
area = π*7.5^2
area = 56.25π
Answer:
A = 56.25π cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
to find r use the circumference formula
C = 2πr
given C = 15π , then
2πr = 15π ( divide both sides by 2π )
r = 7.5 cm
then
A = π × 7.5² = 56.25π cm²
8) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y= -1x+1
B: y= 1/3x-3
Step-by-step explanation:
slope intercept form
y=mx+b
Fred is training for a cross-country race. At practice last week, he ran 6. 25 miles in 1
1
4
hours. At that speed, how long would it take Fred to run 8. 5 miles?
Answer:
1.36
Step-by-step explanation:
Answer:
1.7 hours
Step-by-step explanation:
IXL is pain.
Describe two ways to determine the maximum or minimum of the quadratic function f(x)= -3x²+27x-42. Find the maximum or minimum using each method
Answer:
Find by using 1st derivative test (tests slope) or 2nd derivative test (test concavity). Maximum is 18.75.
Step-by-step explanation:
The maximum of the equation is found when the slope is 0; therefore, take the derivative of the equation, find the critical point and find whether the function is increasing or decreasing around the critical point. To do this use test values within the interval of (-∞, 4.5) and (4.5, ∞). You then find that (-∞, 4.5) is increasing meaning there is a maximum. Plug in 4.5 into f(x) to find the y value.
Second method is using the 2nd derivative test. Find the second derivative and use the same method of testing intervals but instead plugging in test values to the 2nd derivative. You then find that f''(x) is < 0 meaning the function is concave down, thus having a maximum. Plug in 4.5 to find the y value.
You purchase Diamond Club Seats for the Cincinnati Reds upcoming game. You purchase 5 tickets for your favorite teachers. They are $175.000 each. Tax is 7.5% calculate the total cost of the tickets. Show work in the space provided.
PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 hours? Round the amount of time to the nearest hundredth.
Please I really need help, and please don't try and play me becasue someone just put the wrong answer and juked 70 of my points :)
Answer:
[tex]113\° = \angle A[/tex]
Step-by-step explanation:
Given:
∠A = ∠B (Vertically opposite angles)∠A = 7x - 20∠B = 6x - 1If ∠A is equivalent to ∠B, then...
[tex]\implies 7x - 20 = 6x - 1[/tex]
Add 1 both sides:
[tex]\implies 7x - 20 + 1= 6x - 1 + 1[/tex]
Simplify both sides:
[tex]\implies 7x - 19= 6x[/tex]
Subtract 7x both sides:
[tex]\implies 7x- 7x - 19= 6x - 7x[/tex]
Simplify both sides:
[tex]\implies -19= -x[/tex]
Divide both sides by -1:
[tex]\implies \dfrac{-19}{-1} = \dfrac{-x}{-1}[/tex]
Simplify both sides:
[tex]\implies 19= x[/tex]
Substitute the value of x into "7x - 20" to determine ∠A:
[tex]\implies 7x - 20 = \angle A[/tex]
[tex]\implies 7(19) - 20 = \angle A[/tex]
Simplify the expression:
[tex]\implies 133 - 20 = \angle A[/tex]
[tex]\implies 113\° = \angle A[/tex]
Answer:
∠ A = 133
Step-by-step explanation:
Putting both angels together
Since,
m ∠ A = (7x-20)
m ∠ B = (6x-1)
Thus,
(7x-20) = (6x-1)
Solving for x:
7x - 20 = 6x -1
+20 +20
-------------------------
7x = 6x + 19
-6x -6x
-----------------------
1x = 19
x = 19
7(19) -20 = 113
6(19) - 1 = 113
Hence measure of m ∠ A = 113
~lenvy~
Peter and his four brothers combined all of their money to buy a video game. If 30% of the total money is Peter's, and $12.00 of the total money is Peter's, how much do all five brothers have combined?
Answer:
$20.00
Step-by-step explanation:
t represents the total amount
0.25t = 5.00
Can you solve for t and answer?
Or logically
Peter's $5.00 is 1/4 (25%) of the total.
Therefore 4/4 is $20.00
Answer:
$40.00
Step-by-step explanation:
Peter's $12.00 is 30% of the total money all the brothers had.
$12.00 divided by 30% (.30) = $40.00
To double check, multiply $40.00 total money X Peter's share of 30%
$40.00 X 30% (.3) = $12,00
What is 0. 5¯7 expressed as a fraction in simplest form?
Answer:
5/7 cannot be simplified any further
Step-by-step explanation:
How do I do this? :(
Answer:
2762 in²
Step-by-step explanation:
The total surface area of a figure is the sum of the areas of its faces.
Area of rectangle= length ×breadth
Assuming that this is a closed box, the total surface area is the total area of its 6 rectangular faces.
Two rectangles have dimensions of 7 in. ×19 in., another two rectangles have dimensions of 48 in. ×7 in., and the last two rectangles have dimensions of 48 in. ×19 in.
Surface area of the figure
= 2(7)(19) +2(48)(7) +2(48)(19)
= 266 +672 +1824
= 2762 in²
Dakota's wading pool has a volume of 8,640 cubic inches. Which could be the dimensions of the wading pool?
Answer:
Possible dimensions are 10, 4, and 216.
Step-by-step explanation:
All we have to do is find three numbers, that when multiplied, equal 8,640.
I found the numbers 10, 4, and 216.
Which solution to the equation startfraction 3 over 2 g 8 endfraction = startfraction g 2 over g squared minus 16 endfraction is extraneous? g = –4 g = –4 and g = 16 neither g = –4 nor g = 16 g = 16
An equation is formed when two equal expressions. The equation has only one solution which is equal to 16.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the equation can be done in the following manner,
[tex]\dfrac{3}{2g+8} = \dfrac{g+2}{g^2-16}\\\\3(g^2-16)= (g+2)(2g+8)\\\\3g^2 - 48 = 2g^2+8g+4g+16\\\\3g^2-48=2g^2+12g+16\\\\3g^2-2g^2-12g-48-16=0\\\\g^2-12g-64=0\\\\g^2-16g+4g-64=0\\\\g(g-16) + 4 (g-16)=0\\\\(g-16)(g+4)=0[/tex]
Thus, we will get the value of g as -4 and 16. But if we substitute the value of g as -4, the equation will have 0 as the denominator on both sides.
Hence, the equation has only one solution which is equal to 16.
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Answer:
D
Step-by-step explanation:
D
urgentttt!!!! find the sum
Answer:
Step-by-step explanation:
4s2 + 19s + 7
————————
(s + 1)2 • (s + 3)
What's the equation of the line that passes through the points (–8,4) and (0,22)?
Answer:
c
Step-by-step explanation:
Colonel Mustard is making a candle by pouring melted wax into a mold in the shape of a cone. The radius is 6 cm, and the height of the cone is 11 cm. To get the wax for the candle, she melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Colonel Mustard need in order to make the candle? Show your work.
Answer:
Colonel Mustard would need to use 2 cubes of wax
pls give brainlyist
Step-by-step explanation:
first solve for area of cone
V = 1/3(BH)
1/3(18.84955592 * 11)
69.11503837cm^3
then solve for the cubes
B*H*W
4*4*4
64cm^3
divide the cone volume by the cubes volume and round up to the largest hole number
1.07992247
round up
2
i just need the answer to it and then ill do the labels
Answer:
x = 23
Step-by-step explanation:
2x -3 + 47 = 90
2x = 46
x = 23
Lauren made a scale drawing of a city park. The scale she used was 1 centimeter : 8 meters. If the soccer field is 14 centimeters long in the drawing, how long is the actual field?
Answer:
112
Step-by-step explanation:
1:8
14:x
8x14=112
X=112
Answer:
112 m
Step-by-step explanation:
1 cm : 8 m
14 cm : ?
= 14 x 8
= 112 m
What is the product of the binomials (4a – 1) and (2b 3)? 18ab – 3 8a2b2 10ab – 3 6ab 7a – 2b – 3 8ab 12a – 2b – 3
Binomials are polynomials with two terms.The product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The product of the binomial can be done as,
[tex](4a-1) \times (2b+3)\\\\= (4a \times 2b)+(4a \times 3)+(-1 \times 2b)+(-1\times 3) \\\\= 8ab+12a-2b-3[/tex]
Thus, the product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
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Answer:
Answer is D
Step-by-step explanation:
pls pls pls help ill give you a dollar :)
Answer:
1296
Step-by-step explanation:
ignore the first answer