I need help for this question real quick. Please help if you can
Answer:
Exact area = 272 - 28.125pi square cm
Approximate area = 183.6875 square cm (when using pi = 3.14)
=======================================================
Explanation:
The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.
You could also use this trapezium area formula
A = h*(b1+b2)/2
A = 24*(25+15)/2
A = 480
Whichever method you use, the trapezium has an area of exactly 480 square cm.
--------------------------------------
The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm
The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.
The parallelogram and semicircle areas add to 208+28.125pi
---------------------------------------
Subtract this from the area of the trapezium to wrap things up
480 - (208+28.125pi)
480 - 208 - 28.125pi
272 - 28.125pi
This is the exact area of the blue shaded region in terms of pi
To get the approximate area, replace pi with something like 3.14 and compute.
So 272 - 28.125pi = 272 - 28.125(3.14) = 183.6875 is the approximate area when pi = 3.14
Use more decimal digits of pi to get a more accurate value.
What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
Scaling factors! Help!
Answer:
x=15
y=2
Step-by-step explanation:
the scale factor is 6:1
if you divide 12 by 6 you get 2
so y=2
if you multiply 6 by 2.5 you get 15
so x=15
Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)
Answer:
p=9
t20=516
Step-by-step explanation:
a
4p-60=2p-6-2p
6p=54
p=9
b
a=60.. d=24
t20=a+19d
=60+19×24
=516
c
Sn=12.5+12.3+12.1
=12n(6-n)
I have a bed but never sleep, I have a mouth but never eat, I run but never walk. What am I?
Answer:
A river
Explanation;
A river has a "bed," they have a "mouth," and they "run."
The length of the escalator is 36 ft and the
vertical height it rises is 9 ft. what is the angle
of elevation?
a. 90
b. 75. 52
c. 14. 48
d. 14. 04
Answer:
sin θ = 9 / 36 = 1/4
θ = 14.48 deg (ans C)
a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth
Answer:
As per Provided Information
Area of rectangle is 54 square inchesWidth of the rectangle is 9 inches.We have to calculate the length of rectangle .
As we know the formula to find the Area of rectangle .
[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]
On substituting the value we obtain
[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]
Therefore,
Length of the rectangle is 6 inches .first to answer correctly will be marked brainliest
Answer:
See attached picture
Step-by-step explanation:
Hope this helps! :)
Find the 15th term of this arithmetic sequence for 20,26,32,38,44
Answer:
104
Step-by-step explanation:
There are two ways to do it, though we need to know how it is affected.
20+6=26
26+6=32
32+6=38
38+6=44
Thus, you are adding 6 for each term.
1. You do it manually...(yes.)
I'll number it one by one
1.20
2.26
3.32
4.38
5.44
6.50
7.56
8.62
9.68
10.74
11.80
12.86
13.92
14.98
15.104
The 15th term is 104.
2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)
You can get this formula from the facts that:
-you start off with an additional added 8
-you add 6 every time
-if we do it 6n then it would be incorrect, with an extra 6 for each
-the formula is correct; you can test it for terms 2,3,4,5 like this:
20+6=26
20+2x6=32
20+3x6=38
20+4x6=44
To find the 15th term, you can:
20+14x6=20+84=104.
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
It's 3.5
(from the answer 3.464101615)
Hope this helps!
100 POINTS!!!!!!!! WILL GIVE BRAINLIEST ASAP!!!!!!!!!
How can x2 = 2x + 4 be set up as a system of equations? (1 point) y = x2 − 2x + 4 y = x2 + 2x + 4 y = x2 y = x2 + 2x + 4 y = x2 + 2x y = x2 + 4 y = x2 y = 2x + 4
Answer:
x=3 and y=4
Step-by-step explanation:
x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y=7
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxinx+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute4foryinx=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=4
Find the value of each variable. For the circle, the dot represents the center. find a,b,c, & d
pls answer fast
Answer:
Step-by-step explanation:
The values of angles are written below,
a° = 121°
b° = 53°
c° = 87°
d° = 72°
What is the angle of the chord?The Inscribed Angle Theorem: This theorem states that the measure of an inscribed angle in a circle is equal to half the measure of the intercepted arc.
In other words, if an angle is formed by two intersecting chords in a circle, the measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.
The values of angles are calculated as,
a = (2 x 108 ) - 9 5
a = 121°
b = 360 - ( 121 + 95 + 91 )
b = 53°
c = (121 + 53 ) / 2
c = 87°
d = ( 91 + 53 ) /2
d = 72°
Therefore, the values are a = 121°, b = 53°, c = 87°, and d = 72°.
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Find the area of this circle. Use 3.14 for π
Answer:
What circle?
Step-by-step explanation:
Please give more data
Answer:
I need a picture of the circle. you can't answer your question without an actual reference on what im solving
Step-by-step explanation:
Find the transpose of the matrix.
[8 6 1]
[2 -5 8]
[3 1 4]
Answer:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Step-by-step explanation:
To find the transpose all we do is change the rows into the columns and change the columns into rows.
So simply:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Answer:
Flip the elements around, aka, transpose!
[8 2 3]
[6 -5 1]
[1 8 4]
URGENT HELP PLEASE!
find the surface area and volume of the following possible cereal boxes determine the cost of making the box assuming the cardboard costs 5 cents per square inch
box 1 rectangle: 12 inch in height 7.5 inches wide 2 inches thick
Box 2 picture attached please give accurate answer thanks!
Answer:
One square inch is equal to . So, your box have square inches and it costs or $36 to manufacture it.
Step-by-step explanation:
Simplify the expression.
3.1z + 2.1z
(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the expression.)
Answer:
5.2z
Step-by-step explanation:
When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.
3.1 + 2.1 = 5.2
So 3.1z + 2.1z = 5.2z
in a town of 120 people,it is know that 40 are teachers,25 are students and 9 are doctors amd the rest are office workers.what is the possibility that he or she is an office workers?
23/60
hope it helps...!!!!
math please help !!!
Answer:
a = -2
Step-by-step explanation:
Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1
2a+5 = 1
2a = 1 - 5
a = -4/2
a = -2
Unit 6: Radical Functions
Homework 3: Add/Subtract/Multiply Radicals
Show your work!
4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]
5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]
6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]
7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]
Answer:
See below ↓↓↓↓
Step-by-step explanation:
4.
[5∛32x³y⁴] - [3xy³√4y][5*2*x*y ∛4y] - [3xy³*2 √y]10xy∛4y - 6xy³√y2xy [5∛4y - 3y²√y]5.
15√2 * -2√20-30√40-30*2√10-60√106.
4³√-9 * 7³√484³*3√-1 * 7³*4√3263424√-3263424i√3 [i is the complex number for √-1]7.
[tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]30√72w¹⁶30*6*w⁸√2180w⁸√2PLEASE HELP
How do I find the periods??
Answer:
look for where the graph intertacts.
Step-by-step explanation:
I dont like math it is really really hard
Answer:
well yeah no one likes math i mean unless you mark zuckerberg
Step-by-step explanation:
A store pays $75 for a phone. The customer pays $112.50 for the phone. What percent mark up was put on the phone?
Answer:
50% markup
Step-by-step explanation:
112.5-75=37.5
Since you know it is a $37.5 increase, you need to calculate how much of 75 is 37.5
37.5 is HALF of 75, so it was a 50% markup
Answer:
50% increase
Step-by-step explanation:
Firstly, I would do 112.50 - 75 = 37.5
This is an easy question, because we can quickly realise that half of 75 (75 divided by 2) is 37.5.
Because we know that 1/2 = 50% we can say that there was a 50% increase (or mark up) on the phone.
Hope this makes sense! If you have any further questions, let me know.
- profparis
I need help with 12aiii and 12b please!! I don’t know how to work it out on my own
Step-by-step explanation:
12
(a)
(iii) Ans $468.75
(b) Ans $2345.75
You can find the completed solution In the given attachment
Feel free to contact me if u didn't understand anything
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent?
PLS HURRY THX AND NO LINKS
Answer:
The inequality represents that height of Aisha is less than 48 inches.
Step-by-step explanation:
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park.Let she is x inches tall at presentShe grows 5 inches during the next yearSo, Her height after 1 year = x+5 inchesSince we are given that Aisha will still not be tall enough to ride.Thus the inequality represents that height of Aisha is less than 48 inches.
Solve the inequality below: (Remember to use x < or >or< or > ) and then choose the solution set on the number line below.-4x-5<-25 Part A SOlve the inequality
Answer:
{x : x > 5}
Step-by-step explanation:
-4x - 5 < -25
-4x < -20
When dividing/multiplying both sides with a negative number, change the inequality symbol to the opposite direction. e.g. < to > or > to <.
x > -20/-4
x > 5
Hence, the solution set is {x : x > 5}.
What do you think equilateral means??
Answer:
an equilateral is a shape that has equal/even sides. All measurements that are made will be equal to each other whether it is the length of the side or the degree an angle has.
Hope this helps! :D
Answer:
Equilateral - All sides are equal. For example, in an equilateral triangle all of the sides are equal in length.
Find the product of 3.2 and 4.6
Answer:
7.8
Step-by-step explanation:
3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8
a. What is 50% of R1,00?
Answer:
1000÷50%=2000
Step-by-step explanation:
hope it helps
The required simplified value of R is 2000, as of the given percentage.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the required value be R,
50% of R = 100
R = 100 / 50%
R = 100 / 0.50
R = 2000
Thus, the required value of R is given as 2000.
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The cylinder below is a storage tank for heating fuel. Which is closest to the amount of fuel the tank can hold?
A.151 ft³
B.226 ft³
C.301 ft³
D.452 ft³
Option C) 301 ft³ is the correct answer.
Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.
This question is incomplete, the missing image is uplaoded along this answer.
VolumeVolume simply the amount of space enclosed within a container.
The volume of a cylinder can be expressed as;
V = πr²h
Where r is the radius of the base of the cylinder, h is its height and π is pi ( π = 3.14)
Given the data in the question;
Height of the cylinder h = 6ftRadius r = 4ftVolume of the cylinder V = ?To determine the closest to the amount of fuel the tank can hold, we substitute our given values into the expression above.
V = πr²h
V = 3.14 × (4ft)² × 6ft
V = 3.14 × 16ft² × 6ft
V = 301.44ft³
V = 301 ft³
Option C) 301 ft³ is the correct answer.
Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.
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A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?
The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)
Answer:
t = 11.559 years
Compound InterestGiven Data
Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??(about 11 years 7 months)
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )
t = 11.559 years
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