The length of one sides of the square Tito's Kitchen is 13 feet.
How to find the length of a square?A square is a quadrilateral with 4 sides equal to each other. The opposite sides of a square is parallel to each other.
The sum of angles in a square is 360 degrees. Each angle is 90 degrees.
The kitchen is a square and has an area of 169 square feet.
The length of one side of the kitchen can be calculated as follows:
area of the square kitchen = l²
where
l = side lengthTherefore,
area of the square kitchen = 169 ft²
169 = l²
square both sides of the equation
√169 = √l²
l = 13 ft
Therefore,
length of the square kitchen = 13 feet.
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Which function has the following domain and range?
Domain: {-5, -3, 0, 3, 11)
Range: {4, 0, 2}
O {(-5, 4), (3, 0), (0, 2), (3, 5), (10, -1)}
{(-4,-3), (2, 11), (0, 3), (-4,-5), (0, 0))
O {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
O ((-5, 11), (-4,2}
-
The function which have Domain:{-5, -3, 0, 3, 11} and Range:{4, 0, 2} is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}.
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
What is domain?
The domain of a function is the set of values that we are allowed to plug into our function.
What is range?
The collection of potential output values for a function is known as its range. For instance, the range is the non-negative real numbers for the function fn(x)=x2 on the domain of all real numbers (x ∈ R), which may be represented as fn(x)≥0 (or [0,∞] using interval notation).
Given:
Domain: {-5, -3, 0, 3, 11)
Range: {4, 0, 2}
If the input of function is a and output is b then it is defined by (a, b).
a always belong to domain and b from range of function.
∴ By using given domain and range set of our answer is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
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Answer:our answer is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
Step-by-step explanation:
what is the total change in the cats weight for all 3 months?
The total change in the cats weight for all 3 months is -0.5 pounds.
How to find the total change?Since we have 3 months which is from April to June, Now let add up the change in weight in pounds so as to find the total change
Let x represent the total change
x = -0.7 + 0.5 + (- 0.3 )
x = -0.5 pounds
Therefore the -0.5 pound is the change in weight.
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Please answer this as soon as possible.
The equation of the transformed graph is y = -2|x| + 2
(graph attached)
What is transformation ?Transformation is a term used in mathematics to refer to the movements made by objects.
How to determine the coordinates of H after transformationinformation from the question
equation of the preimage f(x) = |x|
A graph showing the transformed image
The image show a reflection over x axis, the transformation rule for this is
Transformation rule (x, y) → (x, -y)
applying the rule to f(x) = |x| gives -f(x) = -|x|
followed by translation 2 units up, this achieved by Transformation rule
-f(x) → -f(x) + 2
Then a vertical stretch of 2 units, transformation rule for vertical stretch is
-2f(x) → -2|x| + 2
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A driveway is being surfaced with concrete pavers in the shape of regular hexagons. If the driveway is 24-ft by 26-ft rectangle, and the pavers measure 6 inches across the flats, how many pavers are needed?To surface a driveway about _ pavers are needed
The number of pavers required is 961.
The area is the region defined by an object's shape. The area of a shape is the space covered by a figure or any two-dimensional geometric shape in a plane.
Given data
A driveway is being surfaced with concrete pavers in the shape of regular hexagons. If the driveway is a 24-by-26-foot rectangle with pavers 6 inches wide across the flats.
We have to determine how many pavers are needed
We know that area of a regular hexagon
A = (3√3)/2 a^2
= (3√3)/2 〖(6)〗^2
= (3 x 1.732)/2 x 36
= 93.528 sq.inches
Now area of rectangle
= l x w
= 24 x 26 x (12)2 (1feet = 12 inches)
= 89856 sq.inches
Now pavers required
= 89856/93.528
= 960.73
= 961
Therefore the number of pavers required is 961.
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what is the value of sin 78^
The exact value of the sine of angle 78° sin(78°) is presented as follows;
[tex]sin(78^{\circ}) = \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}[/tex]
What is the sine of an angle?The sine of an angle is found by taking the ratio of the opposite side to the hypotenuse side of a right triangle that has the specified angle.
The sine of angle 78° is found from the sine of the sum of two angles (60° + 18°) as follows;
sin(78°) = sin(60° + 18°)
sin(A + B) = sin(A)·cos(B) + cos(A)·sin(B)
Therefore, sin(78°) = sin(60° + 18°) = sin(60)·cos(18°) + cos(60°)·sin(18°)
Where, 18° = A, we have;
5·A = 90°
2·A = 90° - 3·A
sin(2·A) = sin(90° - 3·A) = cos(3·A)
2·sin(A)·cos(A) = 4·cos³(A) - 3·cos(A)
2·sin(A)·cos(A) - (4·cos³(A) - 3·cos(A)) = 0
2·sin(A) - (4·cos²(A) - 3) = 0
2·sin(A) - (4·(1 - sin²(A)) - 3) = 0
4·sin²(A) - 2·sin(A) - 1 = 0
Which gives;
[tex]sin(A) = \dfrac{-1\pm \sqrt{5} }{4}[/tex]
[tex]sin(18^{\circ}) = \dfrac{\sqrt{5} -1 }{4}[/tex]cos²(18°) = 1 - sin²(18°)
cos(18°) = √(1 - sin²(18°))
[tex]cos(18^{\circ}) =\sqrt{1 - \left( \dfrac{\sqrt{5} -1 }{4}\right)^2} = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }[/tex]
[tex]cos(18^{\circ}) = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }[/tex]
Therefore;
[tex]sin(78^{\circ})=\dfrac{\sqrt{3} }{2} \cdot \left( \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }\right) +\dfrac{1}{2} \cdot \left( \dfrac{\sqrt{5} -1 }{4}\right)= \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}[/tex]
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WILL GIVE BRAINLIEST
You walk 10km North then turn and walk 5km East. What is your displacement from where you started? Show your work
Answer:
A hiker walks 10 km East, then 5 km in a direction 60 degrees North of West, then 8.7 km in a direction 30 degrees South of West. Find her resultant displacement.
Since you walk 10km North then turn and walk 5km East, your displacement from where you started is approximately 11.18 km.
How to determine the displacementFrom the information given, we have that you walked 10 km north (which represents the vertical side of the triangle) and 5 km east Using the Pythagorean theorem, the displacement (d) can be determined as;
[tex]d^2 = (10 km)^2 + (5 km)^2[/tex]
Find the square values, we get
d² = 100 km² + 25 km²
add the squares, we get
d² = 125 km²
Find the square root of both sides of the equation, we have;
d = 125km²
d = 11.18 km
Therefore, your displacement from where you started is approximately 11.18 km.
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Find the value of x. Then find the measure of each labeled angle.
(x - 58)° =
(x-58)
Answer:
x° = 119°(x-58)° = 61°Step-by-step explanation:
You want the measures of supplementary angles x° and (x-58)°.
Supplementary anglesConsecutive interior angles where a transversal crosses parallel lines are supplementary.
x° +(x -58)° = 180°
2x = 238
x = 119
x -58 = 61
The two angles are ...
x° = 119°(x-58)° = 61°<95141404393>
Name the points. I give you brainiac or whatever.
Answer:
B: (4, 2)
D: (-4, -1)
E: (3, -3)
F: (0, 4)
Step-by-step explanation:
(x-coordinate, y-coordinate)
Answer:
B: (4, 2)
D: (-4, -1)
E: (3, -3)
F: (0, 4)
Step-by-step explanation:
(x-coordinate, y-coordinate)
Which value of a makes the following equation true?
(³) = 125
a = 1
No value of a will work.
a=3
a = 2
Answer:
No value of a will work.
Step-by-step explanation:
let me explain,
given values of a are1,2,3
checking these values of a ,
(1)³=125
1=125 (not true)
(2)³=125
8=125 (not true)
(3)³=125
27=125 (not true)
the correct value of a which makes this equation true is 5. let me make you clear,
(5)³=125
125=125 (true).
Find the coordinate of the midpoint of the segment with the given endpoints.
- 5 and 4
The midpoint of the segment with the given endpoints.-5 and 4 is -0.5.
What are coordinates?
A pair of numbers is used to express a point's position on a coordinate plane using the horizontal and vertical distinctions from the two reference axes.
What is a midpoint?
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line.
Here,
A midpoint can also be written as an average or mean of two points.
Mean of -5 and 4 = (- 5 + 4)/2 = -0.5
Hence "The midpoint of the segment with the given endpoints.-5 and 4 is -0.5".
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A climbing gym charges $10 to climb each day a player of climbing shoes cost 84 it cost 169 to buy six days of climbing one pair of climbing shoes and one harness how much does a harness cost
If each day a player of climbing shoes cost 84 it cost 169 to buy six days of climbing one pair of climbing shoes and one harness. The amount that the harness cost is $25.
How to find the harness cost?Cost of climbing = ( $10×6)
Cost of climbing = $60
Harness cost = Total cost - (Cost of climbing + Cost of shoes)
Harness cost =$169 - ($60 + $84)
Harness cost =$169 - $144
Harness cost =$25
Therefore $25 is the harness cost.
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A CFL football player has an annual salary of $305 000. The player donates 1/8 of his salary to charity . What amount is this ?
Answer: $38,125
Step-by-step explanation:
1/8*305000
Which statement is true?
Answer:
Option AStep-by-step explanation:
The Horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
___________________Hope this helps!
Have a great day!!
I had 35 assignments for the week. The ratio for English assignments to the rest of the assignments was 2:3. How many assignments were NOT English?
Answer:
21 Assignments were NOT English.
Marvin is helping his teachers plan a field trip. There are 136 people going on the field trip and each school bus holds 51 people. What is the minimum number of school buses they will need to reserve for the trip?
Answer: 3 busses
Step-by-step explanation:
PLEASE HELP! select all true statement on the graph
In the given graph the correct statements are:
q ⊥ n
m ║ n
p ⊥ m
What are parallel lines and perpendicular lines ?Parallel lines are two straight lines that never intersect and are located in the same plane. They are equidistant lines that are always at the same distance from one another. Parallel lines are denoted by the apostrophe ||. AB || CD, for instance, denotes that line AB and line CD are parallel. Perpendicular lines, on the other hand, are when two lines cross at an angle of 90 degrees. The symbol stands for perpendicular lines. Line PQ is perpendicular to line RS, for instance, if PQ RS. Examine the following illustration and the characteristics of parallel and perpendicular lines to recognize and distinguish between them.
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The vertices of &ABC are A(2. 8), B(16, 2), and C(6, 2). The perimeter of aABC is____
units, and its area is_____
square units.
For the given triangle ABC,
The perimeter of ABC is 32.443 unit
The area of ABC is 30 unit^2
What is a vertex?
A triangle is created geometrically by the intersection of three line segments. Each side of a triangle has two ends, and the three sides' endpoints may intersect at three distinct places in a plane to form the triangle. The three locations where they cross each other are referred to as a triangle's vertices.
Solution explained:
The distances are found using the distance formula:
D=[tex]\sqrt{((y2-y1)^2+(x2-x1)^2)}[/tex]
Given A(2,8),B(16,2),C(6,2)
Now, calculate the distance
AB=[tex]\sqrt{((16-2)^2+(2-8)^2)}[/tex]=[tex]\sqrt{(14^2+6^2)}[/tex]=[tex]\sqrt{232}[/tex]
BC=[tex]\sqrt{((6-16)^2+(2-2)^2)}[/tex]=[tex]\sqrt{(10^2+0)}[/tex]=10
CA=[tex]\sqrt{((2-6)^2+(8-2)^2)}[/tex]=[tex]\sqrt{(4^2+6^2)}[/tex]=[tex]\sqrt{(16+36)}[/tex]=[tex]\sqrt{52}[/tex]
Perimeter=AB+BC+CA
=32.443 unit
For the area (we note that BC is horizontal (parallel to the x-axis)), so
Area = (1/2)base * height
=(1/2)10*(ya-yb)
=(1/2)10*(8-2)
=(1/2)10*6
=30 unit^2
Hence, the perimeter is 32.443 units and the area is 30 unit^2
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Annie's mother asked Annie to go buy oranges, dog food, and bug spray. Each square's side length is 1 block. How many blocks will Annie have to walk
in all if she visits the fruit stand, the pet store, and the supermarket, in that order, before returning home?
A. 14 blocks
B. 18 blocks
C. 20 blocks
D. 32 blocks
We can learn from the graph that ANNIE is required to walk 14 blocks.
What is a graph?a diagram that shows how a variable varies in relation to one or more other variables (such as a collection of points, lines, line segments, curves, or regions).: a grouping of all points whose coordinates meet a specific relation (such as a function): a group of edges and vertices connecting pairs of verticesHow to solve a graph.-
TO GRAPHICALLY SOLVE A SYSTEM OF LINEAR EQUATIONSThe first equation is graphed.Using the same rectangular coordinate system, graph the second equation.Identify whether the lines are parallel, intersect, or are one and the same line.Determine the system's remedy. Find the intersection if the lines do indeed meet.acc to the question-
fruit vendor=(-3,7)
pet store-=(-1,6)
supermarket=(1,5)
annie's house=(1,4)
Hence,We can learn from the graph that ANNIE is required to walk 14 blocks.
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While volunteering in her community, Janicka picked up 5 2/5 lb of trash. If 2/3 of what she collected was able to be recycled, how many pounds of trash did Janicka recycle?
The pounds of trash that Janicka recycle is 3 3/5 pounds.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.
In this situation, Janicka picked up 5 2/5 lb of trash and 2/3 of what she collected was able to be recycled.
The amount to be recycled will be:
= 2/3 × 5 2/5
= 2/3 × 27/5
= 54 / 15
= 3 9/15
= 3 3/5
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A student raises the flag up at a steady speed of 3m/s. The flag is 2kg in mass. What is the average power exerted.
The average power exerted on the flag of mass 2 kg by the student is 58.8 Watt.
What is power?Power can defined as the rate at which work is done.
To calculate the average power exerted on the flag, we use the formula below.
Formula:
P = mgv............ Equation 1Where:
P = Power exertedm = Mass of the flagg = Acceleration due to gravityv = Velocity at which the flag was raisedFrom the question,
Given:
m = 2 kgv = 3 m/sg = 9.8 m/s²Substitute these values into equation 1
P = 2×3×9.8P = 58.8 WattHence, the average power exerted is 58.8 Watt.
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write -(1/4x1/4x1/4x1/4) using exponents
The solution to the mathematical expression -(1/4x1/4x1/4x1/4) in exponent form is [tex]\mathbf{-4^{-4}}[/tex]
Writing mathematical expressions in exponents formNumber multiplication is a basic and common operation. However, the product of multiplication can be stated differently at times, whether to reduce the equation or to explain the mathematics required. Many numbers can be expressed exponentially.
The concept of exponential form is a method of expressing a number that has been multiplied by itself several times. The fundamental formula is [tex]\mathbf{y=b^x}[/tex]
Exponential expressions are simply a shorthand way of writing powers. The exponent specifies how many times the base has been utilized as a factor.
From the information given
:= -(1/4*1/4*1/4*1/4)[tex]
=-(4^{-1}\times4^{-1}\times4^{-1}\times4^{-1})[/tex][tex]=-(4^{(-1+(-1)+(-1)+(-1))})[/tex][tex]=-(4^{(-1-1-1-1)})[/tex][tex]=-(4^{(-4)})[/tex][tex]\mathbf{=-4^{-4}}[/tex]
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1.You need to earn at least $90. You earn $7 for each hour you work.
Which inequality represents the number of hours h that you need to
work?
(Look at the picture for options for the answer)
2. Write a graph that represents the solution
Answer:
Inequality:
Graph choice:
Step-by-step explanation:
Inequality
It says at least 90, which means we have to use the greater than or equal to sign
Our inequality so far: 90≥______
Now it says you earn 7 dollars per hour, which means 7 times the number of hours you work or 7h. Our inequality now looks like this:
90≥7h
The answer choice that matches is A (90≥7h = 7h≤90)
For the second question on the bottom, I added an image.
(Answer is B)
Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales. She worked 76 hours over the last two weeks and had a total of $1,790 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
A.
$953
B.
$371
C.
$684
D.
$269
Which table represents a function?
Answer:
C (the one which starts with x = -2 and y = -1)
Step-by-step explanation:
because for every x value there is only an y value
7 times some number is 28. What is the number?
Equation:
Solution:
Answer:
4
Step-by-step explanation:
aint no way...this is literally 1st grade math...anyways
7(x)=28
divide both sides by 7
x=4
There are 207 public libaries in New York City. The population in New York City is 8.805 million. What was the rate of libraries per 100,000? Give your answer to the nearest hundredth.
The rate of libraries per 100000 is 88.05 .
In the question ,
it is given that ,
the number of public libraries in New York City = 207 libraries
the population of the New York City = 8.805 million
we have to find the rate of libraries per 100000 .
for this we first have to express the population in numbers .
the population 8.805 million expressed in numbers is 8805000 ,
the rate of libraries per 100000 is
= 8805000/100000
On further simplification ,
we get ,
= 88.05
Therefore , The rate of libraries per 100000 is 88.05 .
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Pls help me, giving brainliest 50 POINTS!
Pls show your work and not only your answers pls
The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.
132
Height (cm)
150%
Complete the table to show different percentages of Dalia's height.
Percentage
150% of Dalia's height
25% of Dalia's height
100% of Dalia's height
Answer:
150% = 132 cm, 25%= 22 cm, 100%= 88 cm
Given:
Height of Odalis = 132 cm
This height is 150%
Divided into 6 parts.
To find: Different percentages of Dallas's Height
Solution:
Dalia's Height = Odalis height * (100/150)
= 132 cm * (2/3)
= 88 cm.
150% of Dallas's Height is 132 cm.
25% of Dalia's Height = 1/4 * 88 = 22 cm
100% of Dalia's Height = 88 cm.
This can also be taken by parts.
6 parts = 150%
1 part = 150/6 = 25%
And 6 parts = 132 cm,
so, 1 part = 132/6 = 22cm.
so , 25% = 1 part= 22cm.
100% = 4 parts = 22*4 = 88 cm.
150% = 6 parts = 22*6 = 132 cm.
Hence, 150% = 132 cm
25%= 22 cm
100%= 88 cm
Step-by-step explanation:
Answer:The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.
132
Height (cm)
150%
Complete the table to show different percentages of Dalia's height.
Percentage
150% of Dalia's height
25% of Dalia's height
100% of Dalia's height
Step-by-step explanation: Just look at the awnser
can you graph x+y greater than or equal to 500
A graph of the given inequality (x + y ≥ 500) is shown in the image attached below.
What is a graph?In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical axes of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would translate the word sentence into an inequality as follows:
x + y greater than or equal to 500 ⇒ x + y ≥ 500
Subtracting x from both sides of the inequality, we have the following equation:
x + y - x ≥ 500 - x
y ≥ 500 - x
Rearranging the equation in slope-intercept form, we have:
y ≥ -x + 500
In conclusion, we can reasonably and logically deduce that both the x-intercept and y-intercept of this linear inequality (equation) is equal to 500.
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Fill in the table using the function rule y=5x-2
The table has been shown using the function rule y = 5x - 2. (Refer to the table attached below).
What is the function rule?The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.When the provided input values are applied, the function rule y = 2 x + 4 produces the output values displayed in the table. Now, the output numbers " are represented by and the input values are represented by. Consequently, the expression f (x) = 3 x + 1 can be used to represent the function rule y = 3 x + 1.So, the rule is y = 5x - 2:
Now calculate values as follows:
(A) When x = 0:
y = 0 - 2y = - 2(B) When x = 1:
y = 5 - 2y = 3(C) When x = 2:
y = 10 - 2y = 8(D) When x = 3:
y = 15 - 2y = 13Therefore, the table has been shown using the function rule y = 5x - 2. (Refer to the table attached below)
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