Answer: 27.5
Step-by-step explanation:
[tex](x-3)2 = 49\\x-3 = \frac{49}{2} \\x-3 = 24.5\\x = 24.5 + 3\\x = 27.5[/tex]
A bookcase is 3 feet high and 3 feet wide. Two braces are going to be built to diagonally cross the back of the case. How long is the piece of wood that is needed to build each brace?
The length of each piece of wood needed to build each brace of the bookcase will be 4.24 feet.
Based on the dimensions, the shape of bookcase is square. So the diagonal of the bookcase will be calculated from the formula -
Diagonal = ✓side² + side²
Keep the values in formula to find the value of diagonal
Diagonal = ✓ 3² + 3²
Taking square on Right Hand Side of the equation
Diagonal = ✓9 + 9
Performing addition on Right Hand Side of the equation
Diagonal = ✓ 18
Finding square root on Right Hand Side of the equation
Diagonal = 4.24 feet
Thus, each diagonal will be 4.24 feet.
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hello please help i’ll give brainliest
Answer:
Mountains It will because when they collide one goes up and it will form a Mountain over time.
Step-by-step explanation:
hope it helps
have a great day
Answer:
Mountains
Step-by-step explanation:
Deep ocean trenches, volcanoes, island arcs, submarine mountain ranges, and fault lines are examples of features that can form along plate tectonic boundaries. When the plates move they collide or spread apart allowing the very hot molten material called lava to escape from the mantle. When collisions occur they produce mountains, deep underwater valleys called trenches, and volcanoes.
-6/7 on a coordinate plane ( I need 3 ordered pair if so pls help)
-6,7 is in 2nd Quadrant of a coordinate plane because the coordinate of x is negative integer and the coordinate of y is positive integers.
What is coordinate?It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. We may have observed the use of grids in mathematics. We can plot any point using these grids and its coordinates.
Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.
The X-axis is the horizontal axis and the Y-axis is the vertical axis of a coordinate plane, which has four quadrants.
To plot -6, 7 point on coordinate first we find the point -6 on the left side of plane on x axis. the we go upward and find point y=7 parallel to y axis.
this point is -6,7.
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which shapes have 2 obtuse angles
Answer: Trapezoid
Step-by-step explanation:
Answer:
Step-by-step explanation:
Trapezoid square and the down right all the way
Issa jogged two-thirds of the way home from school. Then he was tired, so he walked the remaining 3{,}200\text{ m}3,200 m3, comma, 200, start text, space, m, end text. how many kilometers did issa travel from school to his house
The distance Issa travelled from school to his house is 9.6 km.
What is the distance travelled?The actual length covered by the body is defined as distance travelled, whereas displacement is the straight path between the initial and final points.
Here,
Let the total distance between school and home be 'x' meters.
Issa jogged two-thirds of x = 2x/3
So the total distance between school and home is = 2x/3 + 3200
However, the total distance from school to home = x
= 2x/3 + 3200 = x
= 3200 = x/3
= 9600 = x
As a result, the total distance from school to home is 9600 meters.
We're now converting it to kilometers.
We know that 1000 meters equals one kilometer.
9600 meters = 1/1000 x 9600
= 9.6 kilometers
Therefore the distance travelled will be 9.6 km.
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find four consecutive odd integers such that 4 times the sum of the first and third is 4 larger than 4 times the fourth
The four consecutive odd integers = 15, 17, 19, 21
What are integers ?Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers.
All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.
According to our question-
First digit: x
Second digit: x + 2
Three-digit number Equals x + 4
Fourth digit: x + 6
The difference between the opposite of the third and the first two sums up to 55.
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
assemble similar terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First digit: x = 15
Second digit: 15 + 2 + x = 17
Third number: 15 + 4 + 4 = 19
Fourth digit: x+6 = 15+6 = 21
The four odd numbers in a row equal 15, 17, 19, and 21.
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I need help on solving this
Answer:
Irrational
Step-by-step explanation:
it equals 6.7 which is not a perfect square
Aiko bakes croissants for a community center bake sale. She already has a number
of batches baked from the day before. After 2.5 hours, Aiko has a total of 8 batches.
After 4 hours, she has a total of 11 batches. Determine the number of batches Aiko
baked per hour.
Answer:
Aiko baked 2 batches per hour.---------------------------------
Find the difference in time and the difference in the number of batches.
The two numbers will help to find the rate of change in that time interval.
This is same as finding the slope of a line with points (2.5, 8) and (4, 11):
m = (11 - 8)/(4 - 2.5) = 3/1.5 = 2I need help on this hhhhhhhh
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{10^{15}}{10^4}}[/tex]
[tex]\mathsf{10^{15}}\\\mathsf{=10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times 10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 1,000,000,000,000,000}}[/tex]
[tex]\mathsf{\dfrac{\bold{1,000,000,000,000,000}}{10^4}}[/tex]
[tex]\mathsf{10^4}\\\mathsf{= 10\times10\times10\times10}\\\mathsf{10\times10=\bf 100}\\\mathsf{100\times100}\\\mathsf{= \boxed{\bf 10,000}}[/tex]
[tex]\mathsf{\dfrac{1,000,000,000,000,000}{\bf 10,000}}[/tex]
[tex]\mathsf{\dfrac{1,000,000,000,000,000}{10,000}}\\\\\mathsf{= 1,000,000,000,000,000\div 10,000}\\\\\mathsf{= \boxed{\bf 100,000,000,000}}[/tex]
[tex]\mathsf{10^{11}}\\\mathsf{10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 100,000,000,000}}[/tex]
[tex]\mathsf{100,000,000,000= 100,000,000,000= 10^{11}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: BASICALLY }\mathsf{\dfrac{10^1^5}{10^4}\large\text{ is EQUAL to or EQUIVALENT to}}}}\\\boxed{\boxed{\mathsf{10^{11}}\large\text{ because they both give you the result of \bf 100,000,000,000}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes
pls help explanation required
Answer:
$68
Step-by-step explanation:
Let x = original price.
The sale price is 75% of the original price, so the sale price is 75% of x.
75% as a decimal is 75/100 = 0.75
75% of is the same as 0.75x
We are told the sale price is $51, so 0.75x must equal $51.
0.75x = 51
Divide both sides by 0.75 to find the value of x.
x = 51/0.75
x = 68
Answer: $68
Answer:
Step-by-step explanation:
$51 is 75% of 100%
75% = 3/4
51 / 3 = 17
17 = 1/4
51 + 17 = 68
$68 is the original price of the shoes
Write a rule to describe each reflection.
Rule:r(?) (x,y)=(?)
Answer:
1. reflection across the x-axis (x, y) = (x, -y)
2. reflection across the y-axis (x, y) = (-x, y)
Hope this helps!
In AUVW, u = 5.8 inches, ZW=77º and ZU=87º. Find the length of u, to the nearest
10th of an inch
Answer:
5.8 ?
Step-by-step explanation:
It says it's 5.8 right there, I think you might have a typo :)
HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
x=??
Answer:
65
Step-by-step explanation:
arc TS = 360 - 90 - 150
Arc TS = 120
The central angle is also 120
x is 1/2 of the central angle
x = 1/2 * 120
x = 60
Write the phrase as an expression.
7 fewer than a number s
An expression is
Answer:
u just do a variable minus 7
s-7=
(iv)The ratio of 5m to 150cm is ________.
10
y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
x
when
y
=
50
Answer:
Y=50 , working shown below with process which works for any question of this type
Step-by-step explanation:
Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7
The evaluation of the expression a + 4 when a = 7 is 11
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: a + 4
Value a = 7
Substitute the known values in the above equation, so, we have the following representation
a + 4 = 7 + 4
Evaluate the like terms in the equation
So, we have the following representation
a + 4 = 11
Using the above as a guide, we have the following:
The solution is 11
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3x-6y=9
x=2y+3
SOMEONE HELP ME SOLVE THIS STEP BY STEP TY
Answer:
0=0
infinitely many solutions
Step-by-step explanation:
plug x=2y+3 as x into 3x-6y=9...so
3(2y+3)-6y=9, which has our x=2y+3 plugged in because that is what x equals
if you solve its
6y+9-6y=9
0y=0
y=0
making it 0=0
you can't go further from this
Farmer Bale puts 1492 eggs into boxes. Each box holds 6 eggs. How many boxes does he need? (solving my math homework -)
Answer:
249 boxes
Step-by-step explanation:
1492 ÷ 6 = 248.666
round up
249
I don't know help! image of the question is below
The value of x from the given triangle is 7√2 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given triangle, one of the angle in right angle triangle is 45°, opposite side is 7 units and hypotenuse is x units.
We know that, sinθ =Opposite/Hypotenuse
sin45°=7/x
1/√2=7/x
x=7√2 units
Therefore, the value of x is 7√2 units.
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Each week Sara's science teacher gives a 15-point quiz.
Her current scores are shown in the table.
What is Sara's mean quiz score?
Answer: Sara's mean quiz score is 12
Step-by-step explanation:
Mean is the Sum of the Terms divided by the number of terms.
If we add up every score we get 60, we then will divide this by how many scores there were (5).
60/5 = 12
Help me quickly! NO LINKS!!!!
Answer:
180 - 110 = 70
<DBC = 70
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
a) 5.6
Step-by-step explanation:
sin 22° = x/15
0.3746 = x/15
x = 5.62
a triangle has side lengths of 6,8,11 what kind of triangle is it
Answer:
fmmdmme,ekemmdm
Step-by-step explanation:
auggie bought 8 books. Some books cost $13 each and the rest of the books cost $24 each. They spent a total of $159. Write a system of linear equations that could represent the given situation
Answer: Let x be the number of $13 books that Auggie bought and y be the number of $24 books. Then we can represent the given information in the following system of linear equations:
x + y = 8 (the total number of books Auggie bought is 8)
13x + 24y = 159 (the total amount of money Auggie spent is $159)
This system of linear equations represents the given situation. We can use this system to find out how many books Auggie bought of each price by solving the system of equations.
The equation (1) represents the number of books that Auggie bought is 8, and equation (2) represents the amount of money he spent $159. This system of equations is a valid representation of the given situation because the values of x and y that satisfy the system of equations will be the number of $13 books and the number of $24 books that Auggie bought.
Step-by-step explanation:
Plot all of the points of the reflected figure.
You may click a plotted point to delete it.
y
-10 9 8 7 6 5
-4 3
-2
-1
10
9
8
7
6
сл
2
↓
$
co
4
-5
ન
19
N
3
4
5
6
7
8 9
10
-x
Just re dot the points like mirror it on where ever on the graph
How do you plot a reflection on a point?Use the same x-coordinate and the y-opposite coordinate's to reflect a point on the x-axis. Use the same y-coordinate and the x-opposite coordinate's to reflect a point on the y-axis.
A point can be reflected in the x-axis, y-axis, or both axes.
Due to identical x-coordinates and opposing y-coordinates, the red spots on the x-axis are mirror reflections of one another. Thus, in opposing directions and 3 units away from the x-axis, are the red spots. A reflection in the x-axis is shown by the red spots.
Due to the identical y-coordinates and opposing x-coordinates, the blue spots on the y-axis are mirror reflections of one another. the blue points are thus
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PLS HELP ASAP I DONT NNOW HOW TO DO THIS
Answer:
I think you do know how because where the point is now is correct!!
The sum of two consecutive odd numbers is 20 and their difference is 2. Find the two numbers
Answer:
9 and 11
Step-by-step explanation:
let the consecutive odd numbers be n and n + 2, then
n + n + 2 = 20
2n + 2 = 20 ( subtract 2 from both sides )
2n = 18 ( divide both sides by 2 )
n = 9 and n + 2 = 9 + 2 = 11
The 2 numbers are 9 and 11
Four more then the quotient of 12 and a number x
4^n + 1 , Where n is a natural number , will
A) definitely be an odd no.
B) definitely be an even no.
C) definitely be a multiple of 5
D) be odd if n is odd and be even if n is even
Answer:
a) will definitely be an odd number
Step-by-step explanation:
4^n is always even (when you multiply even and even number, the product is always even)
when you add one to even number, the sum is always odd
so 4^n +1 is odd.