Answer:
72 sq cm
Step-by-step explanation:
For any rectangle, the diagonal is the hypotenuse of the right triangle formed by the base of the rectangle(b) and the height (h) of the rectangle
By the Pythogorean formula
[tex]d^{2} = b^{2} + h^{2}[/tex]
where d is the diagonal
For a square, all sides are equal so b = h = a and we get the formula
[tex]d^{2} = a^{2} + a^{2} = 2a^{2}[/tex]
[tex]a^{2} = d^{2} /2[/tex]
In this case we have d =12 so
[tex]a^{2} = 12^{2} /2 = 144/2 = 72[/tex]
But for a square of side a, the area is [tex]a^{2}[/tex] so 72 is the area
Answer:
72 square cm
Step-by-step explanation:
Area of square:[tex]\sf \boxed{\bf Area = \dfrac{d^{2}}{2}}[/tex] , here d is the length of the diagonal
[tex]\sf =\dfrac{12* 12 }{2}\\\\ = 6*2\\\\= 72 \ cm^2[/tex]
Horizontal lines n and m are intersected by lines q and p. At the intersection of lines q and n, the uppercase right angle is angle 4. At the intersection of lines q and m, the uppercase left angle is angle 1. At the intersection of lines p and n, the bottom left angle is angle 3. At the intersection of lines p and m, the uppercase left angle is angle 2.
If angle 1 is 110°, what would the other angle measures have to be in order for m || n and
q || p?
Angle 2 = °
Angle 3 = °
Angle 4 = °
The values of the angles based on the information will be:
Angle 2 = 110°Angle 3 = 70°Angle 4 = 70°How to calculate the angles?From the information given, angle 1 is 110° and the horizontal lines n and m are intersected by lines q and p.
In this case, it should be noted that opposite angles are equal. Hence, angle 2 is also 110°.
Angle 3 will be:
= 180° - 110° = 70° (angle on a straight line).
Angle 4 will also be 70° as opposite angle to angle 3.
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A rectangular tank measures 1.2m by 0.8m by 0.5m.
(a) Water flows from the full tank into a cylinder at a rate of 0.3m3
/min.
Calculate the time it takes for the full tank to empty.
Give your answer in minutes and seconds.
By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.
How to determine the draining time of a rectangular tank
In this question we must determine the draining time of a tank whose dimensions are known and whose water outflow is stable. The draining time is equal to the volume of the rectangular tank divided by outflow rate:
V = (1.2 m) · (0.8 m) · (0.5 m)/(0.3 m³/min)
V = 1.6 min
By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.
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If a_1=9a
1
=9 and a_n=-3a_{n-1}a
n
=−3a
n−1
then find the value of a_5a
5
.
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The value of a₅ is -729.
What is geometrical series?A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
Given the value of a₁=9 and the value of [tex]a_n=-3a_{(n-1)}[/tex]. Therefore, the value of a₅ can be written as,
a₂ = -3(a₁) = -3(9) = -27
a₃ = -3(a₂) = -3(-27) = 81
a₄ = -3(a₃) = -3(81) = -243
a₅ = -3(a₄) = -3(-243) = -729
Hence, the value of a₅ is -729.
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A rectangle swimming pool was 9 meters wide with an area of 90 square meters. What is the length of the pool?
Answer:
10 meters.
Step-by-step explanation:
The area of a rectangle formula is width multiplied by length. So, to find the length of the pool, simply divide the width from the area.
90/9=10
The length of the pool is 10 meters.
Hope this helps!
If not, I am sorry.
I dare u to solve this!
Answer:
? = 26
Step-by-step explanation:
Challenge accepted!
For the bottom left corner:
[tex]10^{2} + 6^{2} \\= 100 + 36\\= 136[/tex]
Now, 10 - 6 = 4
136 / 4 = 34
For the top left corner:
[tex]7^{2} + 5^{2} \\= 49 + 25\\= 74[/tex]
Now, 7 - 5 = 2
74 / 2 = 37
For the top right corner:
[tex]8^{2} + 4^{2} \\= 64 + 16\\= 80[/tex]
Now, 8 - 4 = 4
80 / 4 = 20
For the bottom right corner:
[tex]6^{2} + 4^{2} \\= 36 + 16\\= 52[/tex]
Now, 6 - 4 = 2
52 / 2 = 26
Another method:
5×6+7=37
7×6-5=37
6×4+10=34
10×4-6=34
4×3+8=20
8×3-4=20
So, 4×5+6=26
6×5-4=26
Firstly we have to multiply number with smaller number from the both number, then, multiply that constant number with larger number and then subtract smaller number you will get same number, in this with 4 only 5 constant number following this rule 4×5+6=26, 6×5-4=26, if you multiply 4 with 6, then, 4×6+6=30, 6×6-4=32, and with 7, 4×7+6=34, 6×7-4=38. So, 26 is the right answer of this question
Please Help Me Answer These
Answer:
Question 1 : -2 3/4 × 3 1/5 . Change the fractions to improper fraction and multiply .
= -11/4 × 16/5
= -176/20
= -44/5
= -8 4/5
Question 1 answer : -8 4/5Question 2: -4.6/-2
= -4.6/-2
= 2.3
Question 2 answer : 2.3Question 3: - 7/8 ÷ (-2)(-4)
= 7/6(-4)
= -7/4
Question 3 answer : -7/4Question 4 : -4 27/30
= -147/30
= -4.9
Question 4 answer : cQuestion 5 : -3 13/20
Question 5 answer : -3.65Therefore The answer are -8 1/4 , 2.3 , -7/4 , c , -3.65holii necesito ayuda lo más rápido posible x fiiiis
Utiliza la propiedad fundamental de las proporciones para determinar el valor p en la siguiente proporción.
p = p+2
6= 8
Usando proporciones, en conjunto con multiplicación cruzada, encontra-se que el valor de p es de 6.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.
En este problema, relación es dada por:
[tex]\frac{p}{p+2} = \frac{6}{8}[/tex]
Aplicando multiplicación cruzada:
8p = 6(p + 2)
8p = 6p + 12
2p = 12
p = 12/2
p = 6.
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Select all the correct answers.
Which expressions are equivalent to this exponential expression? Please help
An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A and C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential (6⁻¹⁰/6⁻⁴) function can be simplified as shown below,
(6⁻¹⁰/6⁻⁴)
= 6⁻¹⁰ × 6⁴
= 6⁽⁻¹⁰⁺⁴⁾
= 6⁻⁶
= 1/6⁶
Hence, the correct options are A and C.
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Please help!!!!!!!!!!!asap
By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.
How to obtain the roots of a second order polynomial
Herein we have a polynomials of the form y = a · x² - b. By algebra we find that two roots exists, which are described below according to the square root method:
[tex]y_{1} = +\sqrt{\frac{b}{a} }[/tex], [tex]y_{2} = -\sqrt{\frac{b}{a} }[/tex]
If we know that a = 25 and b = 100, then the two roots of the equation are:
y₁ = + 2, y₂ = - 2
By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.
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Use the graph of f(x) to find the indicated function values.
The indicated function values are f(0) = 2 and x = -1
How to determine the function values?The attached figure represents the missing piece in the question
From the attached figure, the function values to calculate are:
f(x) when x = 0 and x when f(x) = 0
From the figure, the graph crosses the y-axis at y = 2 and the x-axis at x = -1
This means that:
f(0) = 2 and f(-1) = 0
Hence, the indicated function values are f(0) = 2 and x = -1
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Find the measure of a.
Answer:
10
Step-by-step explanation:
By the geometric mean theorem,
4/a = a/25100=a² (cross multiply)a=10 (square root both sides and take the positive solution)Instruction: draw a line perpendicular to line AB at point C.
I have followed the steps, please tell me what have I done wrong? :)
(picture included of my answer)
Answer:
it’s correct
Step-by-step explanation:
Answer:
[tex]\fbox {See below} \downarrow[/tex]
Step-by-step explanation:
When taking the perpendicular of the line, it should be done at the midpoint of the line. Hence, by taking arcs from both endpoints, it should be done. This is why this is incorrect.
Do this for me pls its mdths
Answer:
A = -1
B = -3
C = -7
Step-by-step explanation:
See attached image.
look at the attachments
the last one at the bottomm c is200
please i really need help its khan
Answer:
all I know is the second on about world population in 2014 which was c
7•10⁹
Answer:
B
B
Step-by-step explanation:
there are 9 steps for the second question so it 10^9
and if you times the 1st population size by 20 you get very close to the second population size.
Necesito la solución.
simplify (–2 – c )(–1)
The simplified expression of (-2 - c)(-1) is 2 + c
How to simplify the expression?We have:
(-2 - c)(-1)
Express as product
(-2 - c) * (-1)
Evaluate the product
2 + c
Hence, the simplified expression of (-2 - c)(-1) is 2 + c
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Which point is on the graph of the inverse function h-¹(x)?
O (2,4)
0 (0)
O (0, 1)
O (-5, 1)
Answer: (0,1)
Step-by-step explanation:
If (x,y) lies on the graph of the original function, then (y,x) lies on the graph of the inverse.
Since (1,0) lies on the graph of h(x), (0,1) lies on the graph of its inverse.
(0, 1) point is on the graph of the inverse function h-¹(x).
What are inverse functions?Two functions f(x) and g(x) are inverses if their composition is equal to the identity.
Equation of line will be
y = -2x + 2 = h(x)
h⁻¹(x) will be calculated as:
x = -2y + 2
x - 2 = -2y
y = (2 - x)/2
So, y = h⁻¹(x) = (2 - x)/2
put x = 0 in the equation y = (2 - x)/2
y = 1
(0, 1) = (0, 1)
This, (0, 1) is the point on h⁻¹(x).
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Your family is driving to Disney which is 1000 miles away The first day your family drives 600 miles in 10 hours and the second day they drive the remaining distance in 8 hours . What is the average speed of travel for the second day?
Answer:
50 miles per hour
Step-by-step explanation:
Step 1: We subtract 600 from 1000. That gives us 400 miles for the second day.
Step 2: Now we divide that by 8, giving us 50 miles per hour. We have our answer!
I hope this helped!! PLEASE MARK AS BRAINLIEST!! :)True or False: The minimum or maximum value on the graph of a quadratic function (parabola) is identified using the x-value of the vertex.
If the degree of a polynomial function is even and the leading coefficient is negative, then the end behavior of the function is?
Answer:
Its the last option.
Step-by-step explanation:
The function will rise from the left and descend to the right.
f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝
A bottle holds
5
55 milliliters of perfume.
How many bottles can we fill with
2
22 milliliters of perfume?
Answer:
0.4 bottles can be filled
Step-by-step explanation:
divide the amount that is present by the max amount
the bottle can only hold 5.55 millimeters; therefore the max amount would be 5.55 millimeters.
the amount that is present is 2.22 millimeters.
[tex]\frac{222 millimeters}{555 millimeters} = 0.4[/tex]
0.4 bottles
if the given values are 555 and 222 then the answer is still .4
Answer:
0.4 bottles can be filled
A middle school took all of its 6th grade students on a field trip to see a play. The
students filled 341 seats, which was 55% of the total number of seats in the theater.
How many total seats were in the theater?
Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
Definition of in Ascending order
Arranged in a series that begins with the smallest or least and ends with the largest or greatest The children were lined up in ascending order of height. Test score are listed in ascending order from lowest to highest.
How do depict the information?
Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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Which of the following is equivalent to the expression?
Answer:
d
Step-by-step explanation:
- 5 (3x - 7) ← multiply each term in the parenthesis by - 5
= - 15x + 35
Answer: d.) -15x + 35
Given expression:
⇒ -5(3x - 7)
Apply distributive method: a(b + c) = ab + ac
⇒ -5(3x) -5(-7)
multiply the variables
⇒ -15x + 35
can anybody help meee
Answer:
a.) f(2) = 3
b.) if f(x) = 2
x=3
Step-by-step explanation:
Here you must notice that on the graph where x is 2, y or f(x) is at 3. This means that the answer where in the function of x, where the input 2, the output or y/f(x) is 3
And if the output is 2, the input is 3 as proven above.
simplify (6 to the power of 5)power 2
Answer:
60466176
Step-by-step explanation:
If the bearing of p from y is 048degrees what is the bearing of y from p
Step-by-step explanation:
see photo for detailed analysis
Question 2 multiple choice worth 1 points)
(01.02 lc)
solve for x: 6x + 3 = 5x - 8
0-11
11
0-5
5
[tex]6x+3=5x-8[/tex] (given)
[tex]x+3=-8[/tex] (subtract 5x from both sides)
[tex]x=\boxed{-11}[/tex] (subtract 3 from both sides)
"Systems of Linear Magic"
DIRECTIONS
You are given the following system of equations. Answer the questions
below using this system.
1st Equation: 4x + y = 7
2nd Equation: 2x + y = 11
1.) Solve the system of equations by using the elimination method.
2.) Following the steps described in the "How to Create a Magic Potion"
section on page 1, let's brew a magic potion! Answer the following
questions about your "magic potion"equation.
A.) What is the factor that you have multiplied the 2nd equation by?
C.) What is the magic potion equation you have created?
3.) Using your newly created "magic potion" equation along with the original
2nd equation, solve this new system of equations by using the elimination
method.
4.) Why do you think this "magic potion" method works mathematically to
give us the exact same solution? Use at least 2 complete sentences.
The solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations:
1st Equation: 4x + y = 7
2nd Equation: 2x + y = 11
Subtract equation 2nd from 1st
(4x + y) - (2x + y) = 7 - 11
2x = -4
x = -2
Now in equation 1st multiply by 2 and in equation 2nd multiply by 4
8x + 2y = 14
8x + 4y = 44
Subtract:
-2y = -30
y = 15
The factor is 2 and 4 for the 1st and 2nd equation respectively.
Thus, the solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.
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a tissue box has a lentgh of 11 inches a width of 5 inches and a height of 4 inches
