Answers
Answer:
[tex]\huge\boxed{A_{\triangle RST}=9units^2}[/tex]
Step-by-step explanation:
(Look at the picture).
Calculate the area of the rectangle and subtract the areas of red triangles.
The formula of an area of a rectangle:
[tex]A_{\boxed{\ }}=a\cdot b[/tex]
We have:
[tex]a=5,\ b=4[/tex]
substitute:
[tex]A_{\boxed{\ }}=5\cdot4=20[/tex]
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{a\cdot h}{2}[/tex]
substitute:
[tex]A_1=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\A_2=\dfrac{2\cdot4}{2}=\dfrac{8}{2}=4\\\\A_3=\dfrac{5\cdot1}{2}=\dfrac{5}{2}=2.5\\\\A_1+A_2+A_3=4.5+4+2.5=11[/tex]
Area of ΔRST:
[tex]A_{\triangle RST}=A_{\boxed{\ }}-(A_1+A_2++A_3)[/tex]
substitute:
[tex]A_{\triangle RST}=20-11=9[/tex]
Related Questions
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W)(10) =
(V-W)(10) =
(VW)(10) =
Answers
Answer:
21
3
108
Step-by-step explanation:
(V+ W)(10) = 12 + 9 = 21
(V-W)(10) = 12 - 9 = 3
(VW)(10) = 12 * 9 = 108
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
D
Step-by-step explanation:
For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
x² -12x +7= 0
[tex]x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} [/tex]
[tex]x = \frac{12± \sqrt{144 - 28} }{2} [/tex]
[tex]x = \frac{12± \sqrt{116} }{2} [/tex]
[tex]x = \frac{12± \sqrt{4(29)} }{2} [/tex]
[tex]x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} [/tex]
[tex]x = \frac{12±2 \sqrt{29} }{2} [/tex]
[tex]x = 6± \sqrt{29} [/tex]
[tex]∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}[/tex]
A new water park was designed to contain two circular pools. Pool A has a diameter of 60 m, and pool B has a diameter of 80 m. a) If the designer wants to outline the pools with rope lights, how many meters will be needed to outline the smaller pool? (Use 3.14 for π.)
Answers
Answer:
140
Step-by-step explanation:
60+80=?......All you need to do is just add 60 and 80 and get the product
I hope that helped.
PLEASE ASAP ILL GIVE BRAINLIEST.
Answers
Answer:
Applied force
Step-by-step explanation:
Applied force is a force that is applied to an object by another person or object. e.g. the force applied when Kim pushes the box
Normal force is the force exerted on an object that is in contact with another object that is stable e.g.
Gravitational force is the force attracting objects of mass
Friction force is the force that opposes motion when the surface of one object comes in contact with that of another object
Helpppppppppppppppppppppp
Answers
Answer:
the answer is 59 because you have to simplify no that's the answer
6. If l // k and k // m, then
Answers
Answer:
If l //k and k// m then L//mSo, option D is your answer
Step-by-step explanation:
If 2 lines are parallel to A Third line, then the 2 lines are parallel.
[tex]------------[/tex]
hope it helps..
have a great day!!
ind the median and mean of the data set below: 29,8,11,29,29,6,49
Answers
Answer:
Mean= 23
Median= 29
Step-by-step explanation:
AG= 2y-3= feet
BG= 6x-2.5= feet
Answers
is this a question or a answer
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answers
Answer: 107ft^2
Step-by-step explanation:
Calculate the area of both squares and add together.
Area =
(5x7) + (8x9) = 107ft^2
PLZ HELP DESPERATE NO LINKs! Will mark brainliest
Answers
Answer:
Step-by-step explanation:
y is 40 and x is 21
so xy=61
Answer:
Y=40
X=21
XY=61
I hope you have a spectacular day and take mental health breaks!
WILL GIVE BRAINLIEST
PHOTO ATTACHED
Drag each tile to the correct box.
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.
(4.3x10^6).(9.8x10^-4)
(2.9x10^7)-(1.6x10^–9)
(4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
(4.9x10^3).(74x10^–6)
(3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Answers
Answer:
3,4,2,5,1. youre welcome :)
The arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is as follows:
Order Mathematical expressions
1. 3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
2. 4. (4.9x10^3).(74x10^–6)
3. 2. (2.9x10^7)-(1.6x10^–9)
4. 5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
5. 1. (4.3x10^6).(9.8x10^-4)
What are mathematical expressions?Mathematical expressions are a combination of numbers, variables, and functions (for example, addition, subtraction, multiplication, or division, etc.) to state complete mathematical thoughts.
Mathematical expressions can be likened to grammatical phrases. In linguistics, a phrase, which may include an action, but it does not make a complete sentence without being combined with other phrases.
Data:1. (4.3x10^6).(9.8x10^-4)
2. (2.9x10^7)-(1.6x10^–9)
3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
4. (4.9x10^3).(74x10^–6)
5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Thus, the arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is 3, 4, 2, 5, and 1.
Learn more about mathematical expressions at https://brainly.com/question/1852123
Determine whether each number is prime or composite.
1. 41
2. 29
3. 87
4. 36
5. 57
6. 61
7. 71
8. 103
9. 39
10. 91
11. 47
12. 67
please!!!!Can somebody help me
Answers
1.)41 is prime
2.29 is prime
3.87 is composite
4.36 is composite
5.57 is composite
6.61 is prime
7.71 is prime
8.103 is prime
9.39 is composite
10. 91 is composite
Write an expression equivalent to 4-2(x+5) that has two terms
Answers
Answer:
-2x - 6.
Step-by-step explanation:
4 - 2(x + 5)
= 4 - 2x - 10
= -2x - 6
Answer:
-2x - 6
Step-by-step explanation:
Multiple Choice
2. Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points.The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points resemble a layout similar to a checkmark with the first point located slightly higher than the second point. The second, third, and fourth points follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1
5
2
10
3
15
4
20
B.
Time (s) Height (m)
1
2
2
3
3
5
4
9
C.
Time (s) Height (m)
1
4
2
3
3
5
4
7
Multiple Choice
Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1
5
2
10
3
15
4
20
B.
Time (s) Height (m)
1
2
2
3
3
5
4
9
C.
Time (s) Height (m)
1
4
2
3
3
5
4
7
100 POINTS FOR ANSWERS AND EXPLANATION! PLS I NEED HELP ASAP! Thanks!
Answers
Answer:
Step-by-step explanation:
Choice A: t=1, h=5; t=2, h=10
Choice B: t=1, h=2; t=2, h=3
Choice C: t=1, h=4; t=2, h=3
ans is C as it fits the descriptions
Choice A: t=1, h=5; t=2, h=10; t=3, h=15
Choice B: t=1, h=2; t=2, h=3; t=3, h=5 <== non-linear
Choice C: t=1, h=4; t=2, h=3; t=3, h=5 <== non-linear
ans is A as it fits the descriptions
Uppose you have a bag of marbles and of the marbles are . If you choose one without looking, the probability you choose marble is
. How can you write this probability as a decimal? Write this probability as a decimal. Use a word or phrase to describe this probability.
How do you change the fraction to a decimal?
A. Multiply the numerator and denominator by .
B. Divide the denominator by the numerator.
C Divide the numerator by the denominator..
D. Multiply the numerator by the denominator.
Answers
Math help????????????
Answers
2) y= 30
3) x=15
In a school of 600 students, there are seven times as many right-handed pupils as left-handed pupils. How many pupils are right-handed?
Answers
Answer:
About 516 students are right handed.
Step-by-step explanation:
Divide 600 by 7 to get 85.7143. Round up to 86. Multiply times 6.
Answer:
I'll setup the problem and leave you to solve it
Step-by-step explanation:
L = number of left-handed students
R = number of right-handed students
you have 2 equations
L + R = 600 (1)
R = 7 x L (2)
solve for L in equation 1
L = 600 - R
substitute L in equation 2
R = 7(600 -R)
multiplying and gathering like terms
8R= 4200
solve for R and you have your answer
The radius of a circle is 10 inches. What is the area of a sector bounded by a
180° arc?
r=10 in
180°
Give the exact answer in simplest form.
square inches
Answers
Answer:
25/2pi
Step-by-step explanation:
stg that is right
please help i will give brainlist!!
Answers
Answer:
1157.09
Step-by-step explanation:
answer please no links
Answers
Answer:
x = 65
Step-by-step explanation:
180 - 115 = x
x = 65
Have a nice day!
A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism?
Answers
Answer:
352
Step-by-step explanation:
Simply you would just add all the side areas together. Since it is a rectangular prism, there are six sides with parallel sides. You have 8 inches as the width x2, 12 inches in length x2, and 4 inches in height x2. Height is 4, so you would multiply that with the side length of 12 getting 48 and since there are 2, it would be 96. Then again multiply the height with the width of 8 inches to get the area of 32 and since there are two of those it would equal 64. Lastly you have length and the width so multiply 8 and 12 to get 96. There are also two of those so you would have 192. In total, you have 96, 64, and 192 so together this would be 352. Your surface area is 352.
PLEASE HELP ASAP HURRY
Micah goes miniature golfing. The total amount Clara pays for admission and the number of rounds that she golfs, T, can be calculated by the equation
T = 5.25n + 8.50, where n is the number of rounds that Micah golfs.
What does the number 8.50 represent in the equation?
Answers
Answer: The amount she pays for admission
Step-by-step explanation:
Answer:
The admission cost.
Step-by-step explanation:
It costs $5.25 to play each round.
You don't have to re-enter the park to play the games, but you do have to pay for more rounds.
50 points!!! and BRAINLIEST IF CORRECT
An investment banker is responsible for investing a customer’s money into the greatest interest earning account. The banker has the following options for his customer’s investment:
Account A:
interest rate = 8%
term of investment = 8 years
interest compounded annually Account B:
interest rate = 7%
term of investment = 10 years
interest compounding continuously
Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer, include all of your calculations.
Answers
Answer: account b
Step-by-step explanation:
account A will give 92 thousand dollars
account B will give 100 thousand dollars
I put it in a table
Answer:
SEE ANSWER BELOW
Step-by-step explanation:
A. (formula A=P(1+r/n)^nt
P=50,000(1+.08/1)^nt
P=50,000(1+.08)^nt
P=50,000(1.08)^nt
P=50,000 • 1.85
P=92,546.5
B. (formula A=Pe^rt
P=50,000e7 • 10
P=50,000 • 7
P=50,00 •2 .013
P=100689.64
B saves more
Which point on the number line best represents the approximate value of 23?
Answers
Answer:
Hello! answer: Q
Step-by-step explanation:
The answer would be Q hope that helps!
Answer:
Q
Step-by-step explanation:
The approximate value of sqrt 23 is 4.8
Each line is 0.2
The diameter of a circular pond 63 m. Find the cost of fencing the edge of the pond if the fence costs $12 per meter.
Answers
Answer:
$2,373.84
Step-by-step explanation:
The formula for circumference is C = (pi)(diameter)
C = (3.14)(63)
C = 197.82 m
then multiply that by the cost of fence/m
197.82 x 12 = $2,373.84
The two polygons are similar.Find the length of x
Answers
Answer:
x = 9.2
Step-by-step explanation:
Help Or Else I wiLl TrOw YoU INto A ToLiet
Answers
Answer:
n o
Step-by-step explanation:
I refuse to help. punish me and put me in the toilet
jk lol
Answer:
i throw u in a toilet
Step-by-step explanation:
now u in a toilet
PLEASE HELP 5 of 5
A, B & C form a triangle where Z BAC = 90°,
AB = 2.6 mm and CA = 14.2 mm
Find the length of BC, giving your answer rounded to 1 DP.
BC =
mm
PLEASE HELP
Answers
Answer:
BC ≈ 14.4 mm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² = AB² + AC² = 2.6² + 14.2² = 6.76 + 201.64 = 208.4
Take the square root of both sides
BC = [tex]\sqrt{208.4}[/tex] ≈14.4 mm ( to 1 dec. place )
HELP! will give brainliest if you show work on how to get this answer below!
Solve for x. Check for extraneous solutions.
2+ sq root (x+18)=x
answer should be:
7(-2 is extraneous)
Answers
Kekskekeke
Step-by-step explanation:njbnmmk
Answer:
It should be 7! :)
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
Consider a sequence whose five terms are: 3, 9, 27, 81, 243 Which function ( with domain all integers could used to define and continue this sequence
Answers
Answer: a(n)=3^n as an infinite sequence
I do not know whether you've been introduced to series notation yet, though if you haven't, a(n)=3^n pertains to sequences specifically.
a(n) = 3^n = {3^1, 3^2, 3^3, 3^4, 3^5...}
Which equals 3^n = {3, 9, 27, 81, 243...}