Answer:
Therefore,
[tex]x=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given:
[tex]4x-2=0[/tex]
To Find:
x = ?
Solution:
[tex]4x-2=0[/tex]
Step 1 : Add 2 on both the side we get
[tex]4x-2+2=0+2\\4x=2[/tex]
Step 2 : Dividing by 4 on both the side we get
[tex]\dfrac{4x}{4}=\dfrac{2}{4}\\\\x=\dfrac{1}{2}[/tex]
Step 3 :The final solution is
[tex]x=\dfrac{1}{2}[/tex]
Therefore,
[tex]x=\dfrac{1}{2}[/tex]
A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of elevation from the point the dog is standing on the ground to the cat?
Answer:
x=72.6
Step-by-step explanation:
use inverse trig because your finding a missing angle. use tan because you haved opp/adj
tan-1=(16/5)
x=tan-1(16/5)
*use a calculator
x=72.6
The the angle of elevation from the point the dog is standing on the ground to the cat is 72.6 degrees
We have given that a dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree
We have to find the angle of elevation
We can see in a figure.
What is the angle of elevation?The angle between the horizontal line of sight and the object.
use inverse trig because we are finding a missing angle.
use tan because we have given height of tree (one side) and a distance between dog and tree(second side)
[tex]tab(\theta)}= opp/adj[/tex]
Apply [tex]tan^-1[/tex] on both side we get,
[tex]\theta=tan-1(16/5)[/tex]
[tex]\theta=tan-1(16/5)[/tex]
[tex]\theta=72.6[/tex]
Therefore,the the angle of elevation from the point the dog is standing on the ground to the cat is 72.6 degrees
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Write a word phrase for the expression 10+(6-4)
Answer:
Ten added to the difference of six and four. Or, the difference of six and four added to ten.
Step-by-step explanation:
The word phrase for the mathematical expression 10+(6-4) is 'Ten plus the difference of six and four'. It is the representation of the arithmetic operation in a sentence format.
Explanation:The word phrase for the mathematical expression 10+(6-4) is 'Ten plus the difference of six and four'. In this phrase, 'Ten plus' corresponds to the 10+ part of the expression. 'The difference of six and four' means you subtract 4 from 6, which corresponds to the (6-4) part of the expression.
The expression 10+(6-4) can be simplified using the order of operations. First, we need to subtract 4 from 6, which equals 2. Then, we add the result 2 to 10, which equals 12. Therefore, the word phrase for the expression 10+(6-4) is "Ten plus the difference of six and four."
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how to multiply and divide algebraic fractions
Answer:
Step-by-step explanation:
Multiplying two algebraic fractions produces a new algebraic fraction. Multiply the two numerators to get the new numerator and multiply the two denominators to get the new denominator. Then simplify by reducing the new fraction to lowest terms.
for example:
[tex]\frac{x}{y} \\[/tex]×[tex]\frac{a}{b}[/tex] = [tex]\frac{xa}{yb}[/tex]
Division of algebraic fractions
The procedure for dividing algebraic fractions is the same as the procedure for dividing common fractions. Replace the division by a fraction by the multiplication by the reciprocal of that fraction, like this. Then carry out the multiplication of the two fractions as described above.
for example:
[tex]\frac{\frac{a}{b} }{\frac{x}{y} }[/tex]
can be written as
[tex]\frac{a}{b}[/tex]×[tex]\frac{x}{y}[/tex]= [tex]\frac{ax}{by}[/tex]
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A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8
feet and the triangle base has a base of 12 feet. Find the height of the triangular base of the
prism.
Answer:
9 feet
Step-by-step explanation:
Given:
A prism with a triangular base has a volume of 432 cubic feet.
The height of the prism is 8.
The triangle base has a base of 12 feet.
Question asked:
The height of the triangular base of the prism = ?
solution:
Volume of triangular prism = [tex]Area of triangle \times height[/tex]
[tex]432 = Area of triangle \times8[/tex]
Dividing both side by 8
[tex]54 = Area of triangle[/tex]
[tex]54 =[/tex] [tex]\frac{1}{2} \times base \times height[/tex]
[tex]54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height[/tex]
Multiplying both side by 2
[tex]108 = 12 \times height[/tex]
Dividing both side by 12
[tex]9 = height[/tex]
Thus, height of the triangular base of the prism is 9
Solve the system of equations.
x + 14y = 38
1
7
x + 2y = 5
What is the solution to the system of equations?
Answer:
C.
Step-by-step explanation:
Final answer:
To solve the system of equations x + 14y = 38 and x + 2y = 5, we used the elimination method to find x = -0.5 and y = 2.75.
Explanation:
Solving the System of Equations
The question requires solving a system of linear equations. The given equations are:
x + 14y = 38 (Equation 1)
x + 2y = 5 (Equation 2)
We can solve this system using the substitution method or elimination method. Let's use the elimination method:
Multiply Equation 2 by 7 to make the coefficient of x the same in both equations:
7x + 14y = 35 (Equation 3)
Subtract Equation 3 from Equation 1 to eliminate x:
(x + 14y) - (7x + 14y) = 38 - 35
-6x = 3
x = -0.5
Substitute x = -0.5 in Equation 2 to find y:
-0.5 + 2y = 5
2y = 5.5
y = 2.75
The solution to the system of equations is x = -0.5 and y = 2.75.
Simplify (x^2y)(xy^4)
Answer:
y^4x^1+2y
Step-by-step explanation:
Answer:
8xsquareysquare (square=2 on right hand corner)
Step-by-step explanation:
2yx4xy
how to graph with these numbers?
Answer:
There is no numbers shown
Step-by-step explanation:
No numbers shown
Answer:
you don't have a pic to show me... what numbers...???
Step-by-step explanation:
BOI
June’s multivitamin contains 1500mg of calcium. Convert this to grams
Answer:
What is the best definition of a biohazard?
Step-by-step explanation:
Answer:
1.5g
you need to find out how many miligrams (mg) are in a gram (g).
1mg = .001g therefore move the decimal point over three times to the left
Step-by-step explanation:
Find algebraically in RxR using substituting method the S.S. of the two equations:
X + y = 4
,
2 x - y = 5
Answer:
x=3 y=1
Step-by-step explanation:
x+y=4
y=-x+4
plug in the y
2x-(-x+4)=5
2x+x-4=5
3x=9
x=3
plug in x=3 into first equation to find y
y=-(3)+4
y=-3+4
y=1
Answer:
Step-by-step explanation:
x + y = 4 equation 1
2x - y = 5 equation 2
using substitution method,
x= 4 - y equation 3
substitute equation 3 into equation 2
2(4-y) -y = 5
8 - 2y - y = 5
8 - 3y = 5
-3y = 5 - 8
-3y = -3
divide through by -3
-3y/-3 = -3/-3
y = 1
substitue the value of y into equation 1
x + y = 4
x + 1 = 4
x = 4 - 1
x = 3
Hence, x = 3 and y = 1
% is the correct percentage conversion for 2/5
Answer:
%40
Step-by-step explanation:
Step 1: Divide 2/5
2/5 = 0.4
Step 2: Convert to Decimal by multiplying by 100
0.4 * 100 = %40
Answer: %40
Answer: 0.025%
Step-by-step explanation:
If 4(a+3)=2a+12, then a= [blank] −−−−−−
Answer:
a=0
Step-by-step explanation:
Solve for a
4a + 12 = 2a +12
4a-2a=12-12
2a=0
a=0/2
a=0
How many centimeters equal 39.4 meters?
Answer:
Step-by-step explanation:
100CM equal 1m
Therefore
39.4*100=3940cm
One fifth of the sum of a number and -3 is twice the number
Answer:
the number is -1/3
Step-by-step explanation:
The given statement can be written in math terms as ...
(1/5)(n -3) = 2n . . . the problem statement, using n to represent the number
n -3 = 10n . . . . . . . . . multiply by 5
-3 = 9n . . . . . . . . . . . subtract n
-1/3 = n . . . . . . . . . . . divide by 9 and reduce the fraction
The number is -1/3.
_____
Check
-1/3 -3 = -3 1/3 = -10/3
1/5 of -10/3 = -2/3
-2/3 is twice the number -1/3 . . . . . answer checks OK
In the figure above, square ABCD and triangle EFG have the same areas. If AB =6 and EG =8, what is the height o triangle EFG?
Answer:
The height of triangle EFG is 9 units
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the area of a square ABCD
The area of a square is equal to
[tex]A=b^2[/tex]
where
b is the length side of the square
we have
[tex]b=AB=6\ units[/tex]
substitute
[tex]A=6^2=36\ units^2[/tex]
step 2
Find the height of triangle EFG
The area of triangle EFG is equal to
[tex]A=\frac{1}{2}(b)(h)[/tex]
where
b is the base of triangle
h is the height of triangle
we have
[tex]b=EG=8\ units[/tex]
[tex]A=36\ units^2[/tex] ---> area of triangle EFG is the same that the area of square ABCD
substitute the given values in the formula
[tex]36=\frac{1}{2}(8)(h)[/tex]
solve for h
[tex]36=4h\\h=9\ units[/tex]
therefore
The height of triangle EFG is 9 units
given a sphere with a radius of 2 cm find the volume of the nearest whole number
Answer:
34cm3
Step-by-step explanation:
Volume of sphere = 4/3 pi x cube of radius
Radius =2cm , pi = 3.142
Volume = 4/3 x 3.142 x 2 x 2 x 2
Volume = 1.3333 x 3.142 x 8
Volume = 33.5cm3
Volume = 34cm3 to the nearest whole number
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If 6 workers can paint a house in 2 days; how
many days will it take for 3 workers to paint the same house?
Answer:
0, because the house is already painted. If this isn't a riddle then, it should take 4 days because that is half the people, two times the workload per person.
Answer:
4 days
Step-by-step explanation:
6 workers takes 2 days.
That means that each worker works 6*2 = 12 worker days.
To get the same amount it takes 3 workers 4 days to get 12 worker days.
3) 4x -8y=-24
4x - 10y=-12
Find the volume of this prism:
5 cm
4 cm
6 cm
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw EXAMPLE
put that into a formula.... and boom solved just comment on this for the answer
Can you guys please answer this question 20 ASAP
Answer:
a the answer is a
Step-by-step explanation:
The store offers a 20% discount. The regular price of a T-shirt is $18. What is the discount price?
Answer:
$16.40
Step-by-step explanation:
First we find the how much the discount takes off
$20 × .18 = $3.60
So, the discount takes off $3.60, we then subtract that from $20
$20 - $3.60 = $16.40
Which then gives the price of the shirt as $16.40
State your first and last name. Use the letters in your first name and last name to write an equation of a line in slope-intercept form, y=mx + b as follows:
1. Let x = the number of letters in your first name. Write down the coordinates of the x-intercept using this value for x (If your first name is hyphenated, you may use only the first or last part).
2. Let y = the number of letters in your last name. Write down the coordinates of the y-intercept using this value of y (If your last name is hyphenated, you may use only the first or last part).
3. Find the slope of your line using the x and y intercepts from #1 & #2.
Part Two (3 points): Write the equation of the line using y = mx + b. Replace the m with the slope from #3 and the b with the y value from #2. Use the equation generated to complete a table of at least four ordered pairs. You already have two ordered pairs from #1 and #2.
Part Three (5 points): Use graph paper to sketch a graph of the line in part two. Please be sure to write the coordinates of all points on the graph, label the x and y axes, place arrows on your graph.
My name has 6 letters and my last name 9
Answer:
i) b = 9
ii) m = -3/2
iii) another two ordered pairs on the graph can be (2, 6) and (8, -3).
Step-by-step explanation:
i.) equation of the line is y = mx + b
ii) x = number of letters in my first name = 6 is the x-intercept
iii) y = number of letters in my last name = 9 is the y-intercept
iv) if x = 0 then y-intercept is b. then 9 = (0 [tex]\times[/tex] m) + b. Therefore b = 9
v) if y = 0 then x -intercept is given by 0 = (6 [tex]\times[/tex] m) + 9.
Therefore 0 = 6m + 9 [tex]\Rightarrow[/tex] 6m = -9, m = -3/2
vi) another two ordered pairs on the graph can be (2, 6) and (8, -3).
A baker started out with 12 cups of flour. She had 9 1/4 cups of flour left after the first batch of batter she made. She had 6 1/2 cups of flour left after the second batch of batter she made. If she makes two more batches of batter, how many cups of flour will be left?
Answer:
First batch: 12 - 9 1/4 = 2 3/4 cups
Second batch: 9 1/4 - 6 1/2 = 2 3/4 cups
(2 batches)(2 3/4 cups per batch) =
2(11/4) = 11/2 = 5 1/2 cups
6 1/2 - 5 1/2 = 1 cup of flour left
Elizabeth is using a sample to study American alligators. She plots the lengths of
their tails against their total lengths to find the relationship between the two
attributes. Which point is an outlier in this data set?
Answer:
point b
Step-by-step explanation:
i did it on imagine math
Answer:
point b is the correct answer
Step-by-step explanation:
cs it correct
Please help ASAP. I’ll mark brainliest!!!
Answer:
attached below
Step-by-step explanation:
This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and the height h = 6 cm? (Use π = 3.14 and round answer to the hundredths' place.)
208.81 square centimeters of aluminium are needed
Solution:
Given that,
Radius = 3.5 cm
Height = 6 cm
We have to find the square centimeters of aluminum needed
So we have to find the surface area of cylinder
The surface area of cylinder is given by formula:
[tex]A = 2 \pi r(h+r)[/tex]
Where "r" is the radius and "h" is the height of cylinder
Substituting the values we get,
[tex]A = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81[/tex]
Thus 208.81 square centimeters of aluminium are needed
The soda can requires approximately 208.51 square centimeters of aluminum.
To determine the amount of aluminum needed to make the soda can, we need to calculate the surface area of the cylinder. The formula for the surface area of a cylinder is:
Surface Area = 2πr(h + r)
Given the radius (r) = 3.5 cm and the height (h) = 6 cm, we substitute these values into the formula:
Surface Area = 2 * 3.14 * 3.5 * (6 + 3.5)
First, calculate the term inside the parentheses:
6 + 3.5 = 9.5
Next, multiply by the radius:
3.5 * 9.5 = 33.25
Finally, multiply by 2π:
2 * 3.14 * 33.25 ≈ 208.51
So, the total surface area of the soda can is approximately 208.51 square centimeters of aluminum.
Determine if the three given side lengths would form a right triangle
9 ft, 12 ft, 16 ft
Answer:
Yes.
Step-by-step explanation:
You can use the triangle inequality theorem: the sum of any two sides must be greater than the third side. You can also just check the two smallest sides.
9+12=21
21>16 --> yes it is a triangle.
hope this helped!
If the sum of the lengths of any two sides of a triangle is less than or equal to the length of the third side, then the triangle is not possible.
If a triangle has sides with lengths of 9, 12, and 16, notice that 9 + 12 or 21 is greater than 16. So the sum of the lengths of two sides of the triangle is greater than the length of the third side.
This means that the triangle with sides of lengths
9, 12, and 16 is possible.
Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms? Explain.
Answer:Use the properties of equality and the distributive property to solve equations ... Although multi-step equations take more time and more operations, they can still be ... First “undo” the addition and subtraction, and then “undo” the multiplication and ... We need to “move” one of the variable terms in order to solve the equation.
Step-by-step explanation:
Answer:
If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant.
Step-by-step explanation:
You mix 2 1/2 quarts of juice with 6 2/3 quarts of ginger ale to make fruit punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest form
The ratio of the amount of juice to the amount of ginger ale is 3 : 8
Step-by-step explanation:
Fruit punch = amount of juice + amount of gingle ale
(convert the mixed fraction into proper fraction)
amount of juice = 2 1/2 = 5/2 amount of ginger ale = 6 2/3 = 20/3Ratio of the amount of juice to the amount of ginger ale = (5/2) / (20/3)
⇒ (5/2)[tex]\times[/tex](3/20)
⇒ (1/2)[tex]\times[/tex](3/4)
⇒(3/8)
∴ The ratio of juice to ginger ale is 3 : 8
the rise and the run between each set of points
Answer:
The rise would be 4 the run would be 5.
Answer: Rise = 4, Run = 5
Step-by-step explanation:
Rise is how many it goes up
Run is how many is goes right
Please help.
For the first three months of 2005, the total eamings of the airline were $_____
Answer:
1st three months are January, February and March.
Add all values of each month together.
16+10=26
26-8=18
$18,000,000 in earnings
Step-by-step explanation: