Answer:
The length is 110.4 mm and the width is 62.1 mm.
Step-by-step explanation:
The ratio of the length to the width of the phone screen is 16:9.
Hence, let us say that the length of the screen is 16x and the width is 9x.
Due to the screen having 90 degree corners, we can apply the Pythagorean theorem to say that:
[tex]\sqrt{(16x)^{2} + (9x)^{2}} = 127 mm[/tex]
[tex]\sqrt{256x^{2} + 81x^{2}} = 127 mm[/tex]
[tex]\sqrt{337x^{2}} = 127 mm[/tex]
[tex]337x^{2} = 127^{2} mm[/tex]
[tex]x^{2} = \frac{16129}{337}[/tex]
[tex]x = 6.9[/tex]
Hence, the length is 110.4 mm and the width is 62.1 mm.
Hope this helped!
Answer:
...
Step-by-step explanation:
9.45 10^6 divided by 2
Answer:
Step-by-step explanation:
Comment
For this particular problem, the 10^6 will not be affected. All you have to do is divide 9.45 by 2. When you do that, you get
9.45/2 = 4.725
Now add on the 10^6
The answer is 4.725 * 10^6
Personally, I would likely round this to 4.73 because you were given 3 digits of accuracy, so you should give your answer as 3 digits.
What is the distance between points A and B?
Answer:
6 units
Step-by-step explanation:
=
6 Find the value of y and each
angle if m²SOP -
MZSOR = (5y + 12).
(7y - 12) ° and
My
k
S
Þ
0
Q
6 Fi
an
M
If angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.
Given that m∠SOP=(7y-12)° and m∠SOR=(5y+12)°.
We are required to find the value of y and the angle m∠SOP.
We know that sum of all the angles which lie on the straight line is equal to 180°.
And here m∠SOP and m∠SOR both lie on the straight line PR. So,
m∠SOP+m∠SOR=180
7y-12+5y+12=180
12y=180
y=180/12
y=15
We have to use y=15 in m∠SOP=(7y-12)°.
m∠SOP=7*15-12
=105-12
=93°
Hence if angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.
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-2.5 + 5.99 find the sum
convert the following angles from decimal degrees to degrees, minutes, and seconds (round to the nearest second). note: you must show all the steps for full credit. a) 45.5013 b) 168.7862 c) 87.2530
Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"
Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".
Decimal degrees 87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".
DMS to Decimal Degree Conversion:To translate decimal degrees into DMS, take the following actions:
The whole number portion of the decimal should be used for the degrees.Divide the last decimal by 60 to get the minutes. Employ a whole number.minutes as a portion of the response.Add 60 to the new decimal to account for the seconds.According to the given information:Converting the following angles from decimal degrees to degrees, minutes, and seconds.
A) 45.5013
The whole number is degrees. So 45.5013 gives you 45degrees.
Multiply the remaining decimal by 60.
0.5013*60 =30.078, so the whole number 30 equals minutes.
Multiply the remaining decimal by 60.
.078*60 = 4.68, so the whole number 4.68 equals seconds.
Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".
B) Similarly for this 168.7862.
Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".
C)Similarly for this 87.2530.
Decimal degrees 87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".
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The perimeter of the triangle shown is 556 meters. Find
the length of each side.
x meters =
4x meters =
(8x - 3) meters =
(Type integers or decimals.)
4x meters
(8x - 3) meters
x meters
The sides of the triangle are as follows:
a = 43 meters
b = 172 meters
c = 341 meters
Given, we have the perimeter of the triangle as 556 meters.
The sides of the triangle are:
a = x meters
b = 4x meters
c = (8x - 3) meters.
we know that perimeter of the triangle = a + b + c
therefore, a + b+ c = Perimeter
x + 4x + (8x - 3) = 556
x + 4x + 8x - 3 = 556
13x - 3 = 556
13x = 556 + 3
13x = 559
x = 559/13
x = 43
hence we get the value of x as 43.
substitute x value in the sides of the triangle to get the orignal values of the sides.
a = x = 43 meters.
b = 2x = 4 × 43 = 172 meters.
c = 8x - 3 = 8(43) - 3 = 341 meters.
Hence the sides of the triangle are 43 meters , 172 meters and 341 meters.
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it turns out that approximately 20% of the students in the sample already read the book as part of another class. obviously, these students are likely to perform better than students who did not already read the book. assuming that random assignment was used to ensure equivalent groups in the two conditions, this variable (i.e., whether or not subjects already read the book) should be considered:
The given problem falls under the extraneous type of variable.
What do you mean by an extraneous variable?To find out whether or not changing the values of an independent variable has an impact on a dependent variable is the entire objective of performing an experiment. Any variable that you're not interested in researching but that might also impact the dependent variable is an unnecessary variable. For instance, we would be interested in finding out how a basketball player's average points per game are influenced by the number of hours they exercise each week. The amount of time they spend stretching each week, though, is an unrelated factor that might also impact their points per game.
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please help with these 2 problems in math!!! thank uu!!
(factorize the expressions by regrouping)
Answer:
Sorry if im wrong but for c put (x+8) x (x+y)
for d put (x+3y-1) x (x+y)
Step-by-step explanation:
Write an inequality for the graph
The absolute value inequality graphed is:
y ≥ |x - 5| + 1
How to write the graphed inequality?
We can see that we have an absolute value equation, and the region above the graph is shaded, so we have:
y ≥ absolute value equation
We can see that the slope of the absolute value equation is 1, and the vertex is (5, 1), then the equation is:
|x - 5| + 1
Replacing that in the inequality we will get:
y ≥ |x - 5| + 1
That is the graphed inequality.
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Write a simplified equation for the set of points that are equally far from $(12,0)$ as they are from $(3,0)$.
12,0$+3,0$=15,0$ its korrect now
решите уравнение 6x-4(x+5)=2,2
Answer:
x=11.1
Step-by-step explanation:
6x-4x-20=2.2
2x-20=2.2
2x=22.2
x=11.1
alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store. how much was her change worth? write the amount using numbers and words.
Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.
For given question,
Alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store.
The value of coins is all counted in cents.
1 Penny = 1 cent
1 Nickel = 5 cents
1 Dime = 10 cents
1 Quarter = 25 cents
And 1 Dollar = 100 cents
Alita received seven quarters, and five dimes coins as change at the grocery store.
seven quarters = (7 × 25) cents
= 175 cents
five dimes = (5 × 10) cents
= 50 cents
The total coins are:
seven quarters, and five dimes
= 175 + 50 cents
= 225 cents
Now we add all change together.
twenty-two dollars, seven quarters, and five dimes
= 22 dollars + 225 cents
= 22 dollars + 2.25 dollars
= 24.25 dollars
= $24.25
Therefore, Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.
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If 25% of a number is 75 and 35% of the same number is 105, find 10% of that number.
Answer:
30
Step-by-step explanation:
to find 10%, find 100% first
because we know what 25% is, the easiest way we can work this out is multiply 25% by 4
so:
[tex] 4 \times 25\% = 100\%\\\\ 75 \times 4 = 300[/tex]
this means that 100% is 300.
now to find 10% all we have to do is divide the number by 10.
[tex]300 \div 10 = 30[/tex]
so 10% is 30
to check we're right, we make sure that 25% and 10% = 35%
75 + 30 = 105, meaning our percentages are correct
Answer Choices are
A. 1
B.0
2.-4
3.2
According to the graph, The value of f(5) from the graph of f(x) is 1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
From the graph of f(x), the point C(5, 1) represent the point f(5). The value of f(5) from the graph of f(x) is 1.
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Solve the system by elimination 2x - y = 1 and x - 2y = -1
Answer:
x = 1 and y = 1
Step-by-step explanation:
Let's solve your system by elimination.
2x − y = 1 and x − 2y = −1
Multiply the second equation by -2, then add the equations together.
(2x−y=1)
−2(x−2y=−1)
Becomes:
2x−y=1
−2x+4y=2
Add these equations to eliminate x:
3y=3
Then solve3y=3for y:
3y=3
3y3=33(Divide both sides by 3)
y=1
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x−y=1
Substitute1foryin2x−y=1:
2x−1=1
2x−1+1=1+1(Add 1 to both sides)
2x=2
2x2=22(Divide both sides by 2)
x=1
Answer:
x=1 and y=1
Answer:x=1, y=1 point (1,1)
Step-by-step explanation:
A, B & C form the vertices of a triangle, where ∠CAB = 90°.
AB = 10.2 m and AC = 5.6 m.
Evaluate ∠CBA, giving your answer rounded to 3 SF.
The unknown angle of the right triangle is as follows:
∠CBA = 28.8°
How to find the angle of a right triangle?The triangle is a right triangle because one of its angle is equals to 90 degrees.
The angle ∠CBA, can be found using trigonometric rations,
hence,
tan ∅ = opposite / adjacent
where
∅ = ∠CBA
Therefore,
tan ∠CBA = opposite / adjacent
opposite side = 5.6 m
adjacent side = 10.2 m
Hence,
tan ∠CBA = 5.6 / 10.2
tan ∠CBA = 0.54901960784
tan ∠CBA = 0.54901960784
∠CBA = tan⁻¹ 0.54901960784
∠CBA = 28.7676493388
∠CBA = 28.8°
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Examine the triangles. Two similar triangles. The first triangle has a side length of 6 inches, which corresponds to the second triangle's side of 18 inches. The first triangle has a side length of 11 inches that corresponds to the missing side on the second triangle. If the triangles are similar, what is the length of the missing side? Note: The triangles may not be drawn to scale.
The length of the missing side of the triangle is 33 inches.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.
Let the length of the unknown sides of the second triangle be represented by x.
Given that the two triangles are similar triangles, therefore, the length of the corresponding sides will be in the same ratio. Thus, we can write the ratio of the sides of the triangle as,
6 inches / 18 inches = 11 inches / x
x = (11 inches × 18 inches) / 6 inches
x = 33 inches
Hence, the length of the missing side of the triangle is 33 inches.
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Select the statement that correctly compares two numbers.
4.13 = 4.130
5.16 < 5.06
6.28 < 6.08
7.09 > 7.19
The correct answer is option A
• In mathematics, comparison of numbers if the process that defines similar properties between two numbers and identifies that the number if smaller or greater than or equal to the other number.
• In maths there are three special symbols used in comparison of numbers. The basic symbols are
1. Greater than (>)
2. Less than (<)
3. Equals to (=)
According to the question
Option A :
4.13 = 4.130
As we know the value of 0 after all the numbers and after the decimal is insignificant,
So , 4.13 = 4.130
This is correct comparison.
Option B :
5.16<5.06
Bigger number can’t be less than the smaller number, comparison is wrong.
Option C :
6.28<6.08
Bigger number can’t be less than the smaller number, comparison is wrong.
Option D:
7.09>7.19
Smaller number can’t be greater than the bigger number, comparison is wrong.
Option A is correct
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what is the vertex of h(x) = |x| − 2??? please help
=====================================================
Explanation:
The parent function y = |x| has its vertex at the origin (0,0). This is the lowest point on the V shaped graph.
The -2 at the end will shift every point 2 units down. This is because we're subtracting 2 from the y coordinate of each point.
So the vertex (0,0) moves down to (0, -2)
The graph is below.
If f(x + 3) = x^2 + 4x − 7, find f(2).
The complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the solution to the quadratic equation?A quadratic equations can be split to several equations and it can be solved as a whole
In this case, we have
f(x + 3) = x^2 + 4x − 7
To find f(2), we make use of the following comparison
f(2) = f(x + 3)
This means that
2 = x + 3
Evaluate
x = -1
Substitute x = -1 in f(x + 3) = x^2 + 4x − 7
f(-1 + 3) = (-1)^2 + 4(-1) − 7
This gives
f(2) = -10
Hence, the complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10
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Houston has approximately 2.25 million people. Each person has 2 hands and each hand has 5 fingers.
How many fingers are in Huston? Answer in scientific notation.
wire 19 cm long is cut into two pieces. the longer piece is 3 cm longer than the shorter piece. find the length of the shorter piece of wire
The shorter piece of wire is 8 cm long when the total length of the wire is 19 cm long.
We are given that:
a wire's length is 19 cm.
We have to cut the wire into two pieces.
We are also given that the longer piece of wire is 3 cm longer than the shorter piece.
Let the shorter piece of wire be x cm
Longer piece = x + 3 cm.
So, the equation formed will be:
x + x + 3 cm = 19 m
2 x + 3 cm = 19 cm
2 x cm = 19 cm - 3 cm
2 x cm = 16 cm
x = 16 / 2 cm
x = 8 cm.
Therefore, the shorter piece of wire is 8 cm long.
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63+ (2x+8)+(x + 7) = 180
63+ (2x+8)+(x + 7) = 180
63+3x+15=180
78+3x=180
3x=102
x=34
Hey there!
63 + (2x + 8) + (x + 7) = 180
DROP the PARENTHESES:
63 + 2x + 8 + x + 7 = 180
CONVERT TO:
63 + 2x + 8 + 1x + 7 = 180
COMBINE the LIKE TERMS 1:
71 + 3x + 7 = 180
COMBINE the LIKE TERMS 2:
78 + 3x = 180
3x + 78 = 180
SUBTRACT 78 to BOTH SIDES:
3x + 78 - 78 = 180 - 78
SIMPLIFY IT:
3x = 180 - 78
3x = 102
DIVIDE 3 to BOTH SIDES:
3x/3 = 102/3
SIMPLIFY IT:
x = 102/3
x = 34
Therefore, your answer should be:
x = 34
Good luck on your assignment & enjoy your day day!
~Amphitrite1040:)
Pls help me PLSPLS #ineedhelp #helpme #isuckatmath
Answer:
300 ones
Step-by-step explanation:
300 one = 300 of 1 = 300
The other answers are wrong
30 ones = 30 of 1 = 30
3 tens = 3 of 10 = 30
300 tens = 300 of 10 = 3000
miles per hour. on her way home, she travels at 12 miles per hour. the total travel time is 2 hours. which equation can be used to find the distance in miles from bree’s house to the library? distance (mi) rate (mph) time (hr) trip to library x 6 mph startfraction x over 6 endfraction trip to home x 12 mph startfraction x over 12 endfraction startfraction x over 6 endfraction startfraction x over 12 endfraction
The equation to calculate the distance will be 12 × 2.
How to compute the equation?From the information given, she travels at 12 miles per hour and the total travel time is 2 hours.
It should be noted that:
Distance = Speed × Time
Therefore,
Distance = 12 × 2
The distance is 24 miles.
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which set of coordinates satisfies the equations 3x - 2y=15 and 4x - y=20
Answer:
x=5 and y = 0 coordinate = (5,0)
Step-by-step explanation:
solve the simultaneous equation
hope this works :)
Jessica can make a necklace out of beads in 20 minutes. She sells each
necklace for $4.25. If Jessica fills an order for necklaces worth $59.50, how
much time did she spend making necklaces? Show your work.
Answer:
4h40min
Step-by-step explanation:
necklaces she made
=$59.50/$4.25
=14necklaces
time spent making 14 necklaces
=14x20min
=280min
=4h40min
Answer:
280minutes or 4hours 40minutes
Step-by-step explanation:
Number of necklaces:
$59.50 ÷ $4.25 = 14
Time taken:
14 × 20minutes = 280minutes
I WILL CHOOSE THE BRAINLIEST ANSWER!!! What is the area of the backyard that the grass takes up?
The area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²
Calculating areaFrom the question, we are to determine the area of the backyard that the grass takes up
Area of the backyard that the grass takes up
= Area of the backyard - Area of the rectangle pool deck - Area of the circle pool
Area of the backyard = 6x × 6x
= 36x²
Area of the rectangle pool deck = 2x × x
= 2x²
Area of the circle pool = πx²
Thus,
Area of the backyard that the grass takes up = 36x² - 2x² - πx²
Area of the backyard that the grass takes up = 34x² - πx²
Hence , the area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²
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all three sides of triangle x'y'z' must be to the corresponding sides in triangle xyz and the corresponding angles are .
The required solution is ∠X'≅∠X, ∠Y'≅∠Y and ∠Z'≅∠Z.
It is required to find the corresponding angles.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given :
Corresponding angles are
∠X'≅∠X,
∠Y'≅∠Y
∠Z'≅∠Z
Therefore, the required solution is ∠X'≅∠X, ∠Y'≅∠Y and ∠Z'≅∠Z.
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I need help with this algebra question
Linear inequality of the given graph is given by option (A) and (C) .
Graphing inequalities is the process of showing which parts of a number line contain values that "satisfy" a given inequality. This inequality plot shows the numbers you can use to replace x and y in the inequality to make the true statement.
(A) y > x /6 +2 ..(1) this line is represented by upper line .
and y ≤ x /4 + 1 ....(2) this line is represented by lower line .
Let consider a point (2, 3)
Put in equation (1) , we get
3 > 0.33 +2
3 > 2.33
which is true so shading will be in lower part of this line .
Put in equation (2) , we get
3 ≤ 0.5 +1
3 ≤ 1.5
which is false so shading will be in opposite direction in upper part of this line.
Hence , there is a common shading area between the lines which is required area .
(b) y < x /6 +2 ..(1) this line is represented by upper line and y ≥ x /4 + 1 ....(2) this line is represented by lower line . Let consider a point (2, 3)
Put in equation (1) , we get
3 < 0.33 +2
3 < 2.33
which is false so shading will be in opposite direction to the point in upper part of this line .
Put in equation (2) , we get
3 ≥ 0.5 +1
3 ≥ 1.5
which is true so shading will be in lower part of this line.
Hence , there is no common shading area between the lines .
(C) y ≥ x /6 +2 ..(1) this line is represented by upper line and y < x /4 + 1 ....(2) this line is represented by lower line . Let consider a point (2, 3)
Put in equation (1) , we get
3 ≥ 0.33 +2
3 ≥ 2.33
which is true so shading will be in direction to the point in lower part of this line .
Put in equation (2) , we get
3 < 0.5 +1
3 < 1.5
which is is false so shading will be in opposite direction to the point in upper part of this line
Hence , there is a common shading area between the lines which is required area .
(D) y ≤ x /6 +2 ..(1) this line is represented by upper line and y > x /4 + 1 ....(2) this line is represented by lower line . Let consider a point (2, 3)
Put in equation (1) , we get
3 ≤ 0.33 +2
3 ≤ 2.33
which is false so shading will be in opposite direction to the point in upper part of this line .
Put in equation (2) , we get
3 > 0.5 +1
3 > 1.5
which is true so shading will be in lower part of this line.
Hence , there is no common shading area between the lines .
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