On solving the provided question, we can say that - on doing the fraction we have [tex]\frac{1}{10} ; \frac{1}{100} ; \frac{1}{10000}[/tex]
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here we have,
0.1 = 1/10
0.01 = 1/100
0.0001 = 1/10000
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if a flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches what is the height of the screen?
Draw a picture the in solve for the missing side.
The height of the screen will be;
⇒ h = 28 inches
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.
Here,
The diagonal of the screen television = 53 inches
And, The width of the screen television = 45 inches
Let the height of the television = h
So, By the Pythagoras theorem, we get;
⇒ AC² = AD² + DC²
Where, AC = Diagonal of television.
AD = Height of the television
DC = Width of the television.
Substitute all the values, we get;
⇒ 53² = h² + 45²
⇒ 2809 = h² + 2025
⇒ 2809 -2025 = h²
⇒ h² = 784
⇒ h = √784
⇒ h = 28 inches
Thus, The height of the screen = 28 inches
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What is the slope of the line that passes through the points (-8, 12) and
(4, 6)?
Answer:
- 1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 12 / 4 - (-8)
-6 / 12
= -1/2
30PTS 30PTS don’t explain just answer
Answer:
y = 95°
Step-by-step explanation:
x + 120° = 180°
x = 180° - 120°
x = 60°
25° + y + x = 180°
25° + y + 60° = 180°
y + 85° = 180°
y = 180° - 85°
y = 95°
If you place a 29-foot ladder against the top of a building and the bottom of the ladder is 16 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
24.2 feet.
Step-by-step explanation:
pythagorean theorem will solve this so A^2 + B^2=C^2
we have a and c so you do c -a and square root it to get your answer
The height of the building is approximately 24.19 feet.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, place a 29-foot ladder against the top of a building and the bottom of the ladder is 16 feet from the bottom of the building.
So, hypotenuse of the triangle is 29 feet and base of the triangle is 16 feet.
Let h be the height of the building.
Now, 29²=16²+h²
841=256+h²
h²=841-256
h²=585
h=24.19 feet
Therefore, the height of the building is approximately 24.19 feet.
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The graph of the function f(x)=ax^2+bx+c is given. Could the factors f(x) be (x+2) and (x-3)? Based on the graph, explain why or why not.
five plus two times a number n is less than or equal to eleven. select all of the representation's that are solutions.
1) n less than or equal to 3
2) 3 less than or equal to n
3) n less than or equal to 8
4) 3 greater than or equal to n
Answer:
The worded problem translates to n ≤ 3
The options that are solutions to the problem are 1 and 4:
1) n less than or equal to 3, and
4) 3 greater than or equal to n (since 3 ≥ n)
Step-by-step explanation:
Let's translate the e=words into expressions:
"five plus two times a number n" becomes 5 + 2n
"is less than or equal to eleven" becomes ≤ 11
Put the two expressions together, with the word "is" and the "=" sign:
5 + 2n ≤ 11
Solving:
2n ≤ 11 - 5
2n ≤ 6
n ≤ 3
The options are:
1) n less than or equal to 3 Correct
2) 3 less than or equal to n Incorrect. 3 is greater than or equal to n
3) n less than or equal to 8 Incorrect. n is less than or equal to 3
4) 3 greater than or equal to n Correct 3 ≥ n
Solve for w
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions
53w+13<56w+16
prove that 1 + sinx = sinx(1+cscx).
Answer:
Below
Step-by-step explanation:
csc x = 1/sinx
so sinx ( 1 + cscx )
= sinx ( 1 + 1/sinx)
= sinx + sinx /sinx
= sin x + 1 Done .
The function f open argument x close argument varies inversely with x and f open argument x close argument equals 0.5 when x
The value of function f(x), when x=2.4 is f(x)=0.00625.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
If the function f(x) varies inversely with x, then this function is of the form -
f(x)=a/x
where a is unknown number.
Since f(x)=0.5 when x =0.3, then -
0.5 = a/0.3
a = 0.5 × 0.3
a = 0.15
So, the function now becomes -
f(x) = 0.15/x
Substituting for x = 2.4 -
f(2.4) = 0.15 / 2.4
= 15/240
= 1/16
= 0.00625
Therefore, f(x) value is obtained as 0.00625.
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The function f(x) varies inversely with x and f(x)=0.5 when x =0.3. what is f(x) when x=2.4?
Find (angle) Then classify the triangle by its angles.
M (angle) 1 =
Answer:
m∠1 = 110°obtuse triangleStep-by-step explanation:
You want to find the measure of the angle designated as ∠1, given the other two have measures of 40° and 30°. You also want the classification of the triangle based on its angles.
Angle sumThe sum of angles in a triangle is 180°.
40° +∠1 +30° = 180°
∠1 = 110° . . . . . . . . . . . . subtract 70°
Triangle classificationThe classification of a triangle as acute, right, or obtuse is based on the measure of its largest angle. If that angle is 90°, the triangle is a right triangle. If it is less, the triangle is acute; if it is more, the triangle is obtuse.
The angle measure 110° is more than 90°, so this triangle is an obtuse triangle.
A farmer had 640 bag of maize each having a mass of 120kg .After drying the maize, the mass decreased in the ratio 15:16.calculate the total mass lost after the maize was dried?
Answer:
72,000kg
Step-by-step explanation:
So, we know that there are 640 bags.
Each bag has a mass of 120kg.
The mass shrinks at a ration of 15:16
So, we can think of the total mass as 120x640:
120*640
=
76,800kg
Next, we can think of the dried mass as 15/16 of the 76,800kg. This is because the dried ration was 15, and the orgninal ration was 16:
76,800/16
=
4,800kg
This isnt our end answer, next we have to multiply this by 15, to find the dried ration:
4,800*15
=
72,000kg
Hope this helps!
Find the volume and round to the nearest hundredths place when necessary.
Answer:
7.2^2 = 51.84
51.84 x 3.14 = 162.7776(area of circle on bottom)
162.7776 x 17(height) = 2767.2192
2767.2192 divided by 3( x 1/3) = 922.4064
922.4064 rounded to the nearest hundredths place:
922.41 m3
Step-by-step explanation:
Formula of a cone:
base(area) x height x 1/3 (basically just dividing by 3)
Please help me solve this question !
Answer:
1. 3/8 2. 3/8 3. 3-/8 4. 3/8 or 0. 375
Step-by-step explanation:
Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks
The amount of money saved by Andre in 40 weeks is $1280.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is Andre saves up the same amount of money each week.
We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -
y = mx + c
Then -
m = (288 - 224)/(9 - 7)
m = 64/2
m = 32
Now -
y = 32x + c
For the point (7, 224), we can write -
224 = 32 x 7 + c
c = 0
For {x} = 48, we can write the amount of money saved as -
y = 32 x 40
y = 1280
Therefore, the amount of money saved by Andre in 40 weeks is $1280.
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Help ASAP need answer:)
Answer:
C. plot a point at the y-intercept
Step-by-step explanation:
Answer:
Its C hope this helps. byer
Help^^^^^^^^^^^^^^^^
Answer:
The answer is B
Step-by-step explanation:
Answer:
Option C, 2(3w + 7)
Step-by-step explanation:
Bringing together this factored equation we would solve it as;
(2 * 3w) + (2 * 7)
This leads us to;
6w + 14
which is similar to the given equation.
Hope this helps!
Solve the following inequality using both the graphical and algebraic approach: 0.5 x + 3 greater-than-or-equal-to 2 x minus 1.5 Graph A On a coordinate plane, a line goes through (0, 2) and (4, 4). Another line goes through (0, 0) and (2, 6). The lines intersect at (1, 1.5). Graph B On a coordinate plane, a line goes through (0, 3) and (4, 4). Another line goes through (1, 0) and (4, 6). The lines intersect at (3, 4). a. x greater-than-or-equal-to 3 Graph A b. x less-than-or-equal-to 3 Graph A c. x greater-than-or-equal-to 3 Graph B d. x less-than-or-equal-to 3 Graph B
Answer:
d. x les-than-or-equal-to 3 Graph B
Graph B expressed as follows; The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Step-by-step explanation:
The given inequality is expressed as follows;
0.5·x + 3 ≥ 2·x - 1.5
Let y₁ = 0.5·x + 3, and y₂ = 2·x - 1.5, we get;
For x = -1, 0, 1, 2, 3, 4, 5, 6
y₁ = 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6
y₂ = -3.5, -1.5, 0.5, 2.5, 4.5, 6.5, 8.5, 10.5
From the given data, the lines intersect at (3, 4.5)
The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Please find attached the required inequality created with MS Excel
Therefore, we have;
3 + 1.5 ≥ 2·x - 0.5·x
4.5 ≥ 1.5·x
∴ 3 ≥ x
x ≤ 3
Therefore, with (typographical) correction, the best option is x les-than-or-equal-to 3 Graph B
Answer:
D
Step-by-step explanation:just took the test
Tristen is buying apples that cost $3 per pound. If he buys 7 pounds of apples, how much money did he spend?
Answer:
$21
Step-by-step explanation:
If apples are 3 dollars for 1 pound, and he buys 7 pounds, that's 3 * 7, which is 21.
Answer:
21
Step-by-step explanation:
3×7 21. jejdiwndbJnsjdkandjxjwnxjkwhdusjdidjduxjsbxjsndkdndjxjdjd
The question is in the picture I would appreciate if you could explain how to get the answer thank you.
(0.818 , 1.546) is the point that is part of solution.
point (0,2) and (2,0) are not the part of solutions.
3y - 2x ≤ 3
y + 3x ≤ 4
these are the system of inequalities.
What are Inequalities?
Inequality is a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Given in this question,
There are two lines L1 and L2.
From the graph we can find the two points that lies on the line L1 be
(0,1) and (3,3).
similarly From the graph we can find the two points that lies on the line L2 be
(0,4) and (2,-2).
From the two points (x1 , y1) and (x2,y2) we can write the equation of the Line from the following formula :
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]. This is the equation of line for given two points.
Equation of line L1 :
[tex]y-1=\frac{3-1}{3-0} (x-0)[/tex]
3y - 3 = 2x ----------(ii)
Equation of line L1 : 3y - 2x = 3.
Equation of line L2 :
[tex]y-4=\frac{-2-4}{2-0} (x-0)[/tex]
y = -3x + 4 ----------(ii)
Equation of line L2 : y + 3x = 4.
The point that is the part of the solution :
putting the value of y from equation (ii) in equation (i).
3(-3x+4) -3 = 2x
-9x-2x = -12+3
-11x = -9
x = 0.818
y = -3(0.818) +4 = +1.546
so Point of intersection is (0.818 , 1.546)
This is the point that is part of solution.
The point that is not below both the lines are not part of solution.
the point that are not part of solution are:
3y - 2x ≥ 3 -> (0,2)
y + 3x ≥ 4 -> (2,0)
point (0,2) and (2,0) are not the part of solutions.
Inequalities are for shaded portion :
3y - 2x ≤ 3
y + 3x ≤ 4
these are the system of inequalities.
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A woman can plait hair for 20 girls in 5
days. How long will it take her to plait
for 12 girls?
12 x 5 = 60
60 divided by 20 = 3
It will take her 3 days to plait 12 girls .
Find the area of a triangle that has a base of 10 inches and a height of 7 inches.
A) 8.5 in2
B) 17 in2
C) 35 in2
D) 70 in2
Also sorry for asking 2 questions in one day :'D
PLEASE HELP 5 of 5
A, B & C form a triangle where Z BAC = 90°,
AB = 2.6 mm and CA = 14.2 mm
Find the length of BC, giving your answer rounded to 1 DP.
BC =
mm
PLEASE HELP
Answer:
BC ≈ 14.4 mm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² = AB² + AC² = 2.6² + 14.2² = 6.76 + 201.64 = 208.4
Take the square root of both sides
BC = [tex]\sqrt{208.4}[/tex] ≈14.4 mm ( to 1 dec. place )
Find the reference angle for a rotation of 347º.
Answer:
If you mean the name of the angle then it's a reflex angle
(Quiz question 9) please only correct answers no links!
Answer: 43.2°
In the given diagram, we are given the hypotenuse and opposite side from the angle x. This means that we need to use the sine ratio. When finding the angle in this triangle, we need to use [tex]sine^{-1}[/tex], not just sine. (This applies for other problems that require you to solve for the angle. The equation should be [tex]sine^{-1}(\frac{5}{7.3} )[/tex]. Calculate the equation with your calculator to get 43.2
Find the area of the figure shown.
6
8
20
The area of the figure given is 49 square feet's.
What is area?The area is a two - dimensional region enclosed by a single - dimensional entity. We can write area as -∫dA = ∫∫F(x, y) dx dy
A = ∫∫F(x, y) dx dy
Given is a figure as shown in the image attached.
We can write the area of the figure as -
A = A{T} + A{R}
A = (4 x 10) + (1/2 x 6 x 3)
A = 40 + 9
A = 49 square feet's
Therefore, the area of the figure given is 49 square feet's.
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Easy question will give brainliest and 15 pts
Lucy graphed a system of linear equations.
What is the solution to the system of equations?
A. (-4, 2)
B. (-1, 3)
C. (0,2)
D. (2,4)
Answer: explanation
D SORRY IF IM WRONGGG AAAHHH
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of x+y,xy,y/x,y-x
16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6
smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest
×/48 = 4
solve for x
Answer:
Step-by-step explanation:
x ÷ 48 = 4
Multiplying both sides by 48 we get:
x ÷ 48 x 48 = 4 x 48
x = 192
please help me and no links please
y = 9.75
Step-by-step explanation:
From the definition of vertical angles, we can see that
8y - 14 = 64 ---> 8y = 74 or y = 9.75
A bag of sugar weighs 3.45 kg What is the weight of three such bags (in kilograms)?
Answer:
10.35 kg
Step-by-step explanation:
Given a bag of sugar weighs 3.45 kg, you want the weight of 3 bags.
WeightThe weight of 3 bags will be three times as much as the weight of one bag:
3 × 3.45 kg = 10.35 kg
Three such bags weigh 10.35 kg.
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