Answers
Answer:
60 u²
Step-by-step explanation:
Finding second diagonal :-
d' = √{ 17² - 8²} d' = √{ 289 - 64 } d' = √{ 225 } d' = 15 uUsing formula :-
A = 1/2 * d * d' A = 1/2 * 15 * 8 A = 15 * 4 u²A = 60 u²Related Questions
Simplify 4x (2x−y) − 3x (x-2y) −2x + 1 and find its value for = -1 and y = 2.
Answers
Answer:
Step-by-step explanation:
4x*(2x - y) - 3x(x - 2y) - 2x + 1
Use distributive property
= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1
= 8x² - 4xy - 3x² + 6xy - 2x + 1
= 8x² - 3x² - 4xy + 6xy - 2x + 1
Combine like terms
= 5x² + 2xy - 2x + 1
Substitute x = -1 & y = 2
= 5(-1)² + 2*(-1)*2 - 2(-1) + 1
= 5*1 - 4 + 2 + 1
= 5 - 4 + 2 + 1
= 4
What is the sum of the greatest number and least number formed by the digits 4,7,0and 9
Answers
Answer:
13819
Step-by-step explanation:
The biggest number is :9740
The smallest number is :4079
Sum means addition so...
9470 + 4079 = 13819
If p+1/p - 7 then find the value of p³+1/p³
Answers
Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
What is the distance from the plane
Answers
Answer:
here's the answer to your question about
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. If the spectator has an angle of 110° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole? 70.0° 41.1° 28.9° 19.9°
Answers
Answer:
28.9°
Step-by-step explanation:
The golfer, hole and spectator form a triangle. Let ABC be the triangle and let the angle the spectator has between the golfer and the hole be A = 110°, the angle the golfer has between the spectator and the hole be B and the angle the hole has between the golfer and the spectator be C. Let the angle between the golfer and the hole be a = 200 yards, the distance between the spectator and the hole be b and the distance between the golfer and the spectator be c = 140 yards,
Using the sine rule for the triangle, we find angle C.
So, a/sinA = b/SinB = c/SinC
So, a/sinA = c/sinC
sinC = csinA/a
C = sin⁻¹(csinA/a)
Substituting the values of the variables into the equation, we have
C = sin⁻¹(csinA/a)
C = sin⁻¹( 140sin110°/200)
C = sin⁻¹( 7 × 0.9397/10)
C = sin⁻¹(6.5778/10)
C = sin⁻¹(0.65778)
C = 41.13°
We know that A + B + C = 180° (sum of angles in a triangle)
And since the angle the golfer has between the spectator and the hole be B
So, B = 180° - (A + C)
B = 180° - (110° + 41.13°)
B = 180° - 151.13°
B = 28.87°
B ≅ 28.9°
The angle that the golfer has between the spectator and the hole is 28.9°.
Angel between spectator and holes:Using the law of sines:
BC/SinΔBAC=AB/SinΔACB
Hence,
200/Sin110°=140/SinΔACB
ΔACB=41.1°
Thus,
ΔABC=180°-ΔBAC-ΔACB
ΔABC= 180° - (110° + 41.1°)
ΔABC= 180° - 151.1°
ΔABC= 28.9°
Inconclusion the angle that the golfer has between the spectator and the hole is 28.9°.
Learn more angle here:https://brainly.com/question/25770607
How much gift wrap is
needed to cover a box
measuring 18 inches by
12 inches by 4 inches?
Answers
Answer:
All we need to do here, is to find the total surface area.
In this case, we have:
2(18x12 + 18x4 + 12x4) which is equal to 672
Let me know if this helps!
PLEASE HELP!!
BRAINLYEST TOO 1st
Answers
9514 1404 393
Answer:
A, C
Step-by-step explanation:
Any table with no repeated x-values is a relation that is a function.
Find the value of x in the diagrams below
Answers
Answer:
1. x = 24
2. x = 31
Step-by-step explanation:
For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.
For number 2, 2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.
Answer:
1. 24
2. 31
Step-by-step explanation:
1. opposite angles are equal
( 3x-1)°=71°
3x=72
x=24
2. remember opposite angles are equal,
180°= (2x)°+(4x-6)°
186=6x
x=31
3 1/2 + (-5 2/3 ) ÷ ( 1 3/4)²
Answers
Follow order of BEDMAS. Converting fractions into decimals may help, just make sure you add the remainder.
What is the radius of one of the circles?
Answers
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{2\sqrt{3} }{2}=\sqrt{3}[/tex]
I hope this helps!
pls ❤ and give brainliest pls
simplify the expression (3+4i) - (1-5i)
Answers
Answer:
9i + 2
Step-by-step explanation:
3 + 4i - 1 + 5i
=> 3 - 1 + 4i + 5i
=> 2 + 9i
=> 9i + 2
Answer:
9i + 2
Brainliest, please!
Step-by-step explanation:
(3 + 4i) - (1 - 5i)
3 + 4i - 1 + 5i
9i + 2
Write an algebraic model based off this numerical model
Answers
Step-by-step explanation:
T0 = a³+4
T1 = a⁴x a¹ +4
T2= a³ + a³ + 4
T3= a⁴ + a⁴* a² + 4
T4= a⁴ + a⁴ x a¹ + 4
T5= a³ + a³ + a⁴+4
Answer:
hello,
Step-by-step explanation:
c(1)=5
c(2)=9
c(2)-c(1)=9-5=4
c(2)=9
c(3)=13
c(3)-c(2)=13-9=4
c(3)=13
c(4)=17
c(4)-c(3)=17-13=4
c(4)=17
c(5)=21
c(5)-c(4)=21-17=4
for n=1,2,...,k :
c(n+1)-c(n)=4 and c(n+1)=4*(n+1)+1=4n+5
c(1)=1
Journal Write a subtraction problem involving
numbers. At least one decimal must include hundredths. Explain how to solve
your problem.
Please help I will give you Brainlyest
Answers
Answer:
Problem: 5.24 - 4.93
Step-by-step explanation:
You subtract just like a normal Addition problem however you MUST make sure the decimal point line up,...
[tex]5.24\\4.93\\[/tex]
1st: subtract the 3 from the 4 [0.01]
2nd: subtract the 9 from the 2 (make the 2 a 12 (by carrying a one from the 5 (which then becomes a 4))) [0.30]
3rd: Finally subtract the 4 from the 4,... 0
Answer = 0.31,...
A more summed up answer: Subtracting (and adding for that matter) decimals happens exactly like normal. However you MUST MAKE SURE that your decimal points are lined up,... if you are subtracting a 0.09 from a 4.5 and the 4.5 doesn't have a hundredths place just remember that you can add a 0 on the end (4.50) without chancing it's value. (and then just subtract like normal)
due to Deepavali or TV is sold for rupees 14900 after allowing a discount of 23% what is the Marked price
Answers
Answer:
Correct option is
C
Rs.8000
SP=xRs
CP=(0.8x+600)Rs
P%=14
7
2
%
SP=
100
CP(100+P%)
x=
100
(0.8x+600)(100+
7
100
)
x=
7×100
(0.8x+600)(800)
700x=640x+480,000
x=8,000
Which pieces of information can be gathered from these box plots?
Answers
Answer:
A & C
Step-by-step explanation:
m/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x
Answers
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:
[tex]m\angle DCB = m\angle HCB + m\angle DCH[/tex]
Substitute in the appropriate values/expressions:
[tex](9x-1) = (60) + (2x+16)[/tex]
Solve for x. Combine like terms:
[tex]9x - 1 = 2x + 76[/tex]
Subtract 2x from both sides:
[tex]7x - 1 = 76[/tex]
Add one to both sides:
[tex]7x = 77[/tex]
And divide. Hence:
[tex]x=11[/tex]
Answer:
x=11
Step-by-step explanation:
<DCB = <DCH + < HCB
9x-1 = 2x+16 + 60
Combine like terms
9x-1 = 2x+76
Subtract 2x from each side
9x-1-2x= 2x+76-2x
7x-1 = 76
Add 1 to each side
7x-1 +1 = 76+1
7x = 77
Divide by 7
7x/7 = 77/7
x=11
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.
Answers
Answer:
Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.
You invested $8,307 into stocks of a company which
were priced at $13.71/sh. How many shares did you
purchase?
Answers
Answer:
606 shares
Step-by-step explanation:
Number of shares= (Total money spent)/(Each share price)
Number of share=(8307)/13.71=605.9≈606
Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.
10
10
20
20
30
30
40
40
5
5
10
10
15
15Seconds since sending print jobPages printed
What does the
x
xx-intercept represent in this context?
Choose 1 answer:
Answers
Given:
Consider the below figure attached with this question.
To find:
The interpretation for x-intercept in this context.
Solution:
In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.
At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.
Therefore, the correct option is C.
Answer:
B. The number of seconds that passed before the printer started printing pages
Step-by-step explanation:
Match the word to know with its definition
Expanded form
Product
Place value
Digit
A number that is written as a sum of single digit multiples of powers of 10
Any of the symbols ( 0 to 9 ) that are used to write a number
The result of multiplying two or more numbers together
The value of where a digit is located in a number
Answers
- A number that is written as a sum of single digit multiples of powers of 10.
Consider the number 3,559,761
The expanded form of it is:
3,000,000 + 500,000 + 50,000 + 9,000 + 700 + 60 + 1
Product
- The result of multiplying two or more numbers together.
EXAMPLE:
Multiply 4 x 3 = 12
12 is the product
Product is the answer you get from multiplying two or more numbers together.
Place value
- The value of where a digit is located in a number.
Consider the number “350”
The place value of 3 in 350 is 300
Place value of 5 = 50
Place value of 0 = 0
Digit
- Any of the symbols (0 to 9) that are used to write a number.
I HOPE THIS HELPS!
NEED HELP IN FIVE MINUTE PLZ HURRY
Answers
Answer:
R=.2,P=.25, G=.55
Step-by-step explanation:
If 7 beans were on your plate, and you took away 2 bananas, how many apples are left?
Answers
Answer:
4 tacos
Step-by-step explanation:
according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now
Pls help and fast! 17 points!
Answers
Answer:
54 square units
Step-by-step explanation:
144 - 18 - 4(18) = 54 square units
by which smallest number should the following number be multiplied to make the perfect square of 384
Answers
The prime factorization of 384 = 2^7 * 3.
So in order to make it a perfect square, you must multiply it by 2*3 = 6 to make is 2^8 * 3^2.
5 x 1/4
how can you use addition to show that your answer is correct?
Answers
Answer:
Step-by-step explanation:
[tex]5*\dfrac{1}{4}=\dfrac{5}{4}\\[/tex]
Using addition,
Add (1/4) , five times
[tex]\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{1+1+1+1+1}{4}\\\\=\dfrac{5}{4}[/tex]
Answer:
5/4
Step-by-step explanation:
Add 1/4 together 5 times:
1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
Answers
Answer:
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
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please help with question 6.
A,b,c and d
Answers
9514 1404 393
Answer:
a) 6.4 m
b) 5.7 m
c) 6.3 m
d) 6.0 m
Step-by-step explanation:
The benefit of using a spreadsheet for repetitive calculations such as these is that it can also help with the addition/subtraction necessary to find the length not given directly.
In the attached, the "a" length is the one requiring arithmetic; the "b" length is given directly on the diagram, and the "c" length is the hypotenuse of the right triangle with legs "a" and "b". "c" is the direct distance from A to B.
For example, consider figure (a). The horizontal distance from A to B is 10 m-6 m = 4 m. In the attached spreadsheet that difference is entered in row 'a', column 'a' as "=10-6". The length "c" is computed using the Pythagorean theorem:
c² = a² +b²
c = √(a² +b²)
For figure (a), this is ...
c = √(4² +5²) = √41 ≈ 6.4 . . . meters
solve for x pls help
Answers
Answer:
x=50
Step-by-step explanation:
The Intersecting Secant-Tangent Theorem states that if a secant and tangent line intersect outside of a circle, then
(length of the tangent line)² = (length of secant line from outside the circle to touching it) * (part of secant that is a chord). In this example, we can say that
30² = 18 * x
900 = 18 * x
divide both sides by 18 to isolate x
x=50
what is the one solution for the linear equations y=3x-5 and y=-3x+7
Answers
Answer:
y=1 and x=2
Step-by-step explanation:
Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2
Answer:
The solution is (2,1)
Step-by-step explanation:
Set the two equations equal
y=3x-5 and y=-3x+7
3x-5 = -3x+7
Add 3x to each side
3x-5+3x = -3x+7+3x
6x-5 = 7
Add 5 to each side
6x-5+5 = 7+5
6x = 12
Divide by 6
6x/6 = 12/6
x=2
Now find y
y =3x-5
y=3(2)-5
y = 6-5
y=1
The solution is (2,1)
Find the missing value.
Hint: Use the number line to find the missing value.
4-8
A
-15
-10 -5
0
10
5
Answers
Answer:
4 = -8 - x
4 + 8 = -8 + 8 -x
12 = -x
x = -12
So, -12 is the answer.
Let me know if this helps!
