Answer:
Your answer is A. the measure of angle 2 is 83° because angles 1 and 2 are corresponding angles.
1440 saplings were collected by the students of a class for planting on the World Environment Day. The saplings were to be planted in rows and columns such that the number of rows was equal to the number of columns. Find the number of rows if there was a shortfall of 4 saplings.
(kindly show the written solution.
Let the number of rows be x. Then the number of columns will also be x since the problem states that the number of rows is equal to the number of columns.
We know that the total number of saplings collected is 1440. Therefore, the total number of saplings planted will be:
x * x = x^2
However, there was a shortfall of 4 saplings, which means that only 1440 - 4 = 1436 saplings were actually planted. Therefore, we can write:
x^2 = 1436
To solve for x, we take the square root of both sides:
x = sqrt(1436)
Using a calculator, we get:
x ≈ 37.9
Since x must be a whole number (the number of rows and columns cannot be a decimal), we round x down to the nearest integer to get:
x = 37
Therefore, there were 37 rows of saplings planted by the students.
Nathan took his car in for service and repairs. He had a coupon for 15% off. Original Prices • Labor $299.88 • Parts $307.54 • Other $74.71 Which amount is closest to Nathan's total costs after the 15% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
The amount that is closest to Nathan's total costs after the 15% discount and including 6% sales tax, assuming tax is applied after the discount is applied would be $624. That is option A.
What is discount on sales?The discount on sales is the amount of money that is being deducted from the original price of an item by a seller to their customers.
The original price for labor= $299.88
The original price for parts = $ 307.54
The original price for others = $ 74.71
The total original price = $682.13
The discount of on the total price = 15%.
That is;
= 15/100 × 682.13
= 10,232.95/100
= $102.32
When discount is removed from the original price;
= 682.13 - 102.32
= $579.81
When the tax is acted on the discount total sales;
= 6/100 × 579.81
= $3,478.86/100
= $34.79.
The total cost after discount and tax would be;
= 579.81 + 34.79
= $614.59
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Admission to a county fair is $8 for adults and $5 for children. Find the total cost of admission for 3 adults and 4 children. *
Answer:
44$
Step-by-step explanation:
u multiply 8 by 3 and 5 by 4 and you get 24 and 20 and add 24 and 20 and u get 44
Answer:
44
Step-by-step explanation:
A plane flies 1.7 hours at 140 mph on a bearing of 10 degrees. It then turns and flies 9.6 hours at the same speed on a bearing of 100 degrees. How far is the plane from its starting point?
The starting point is 1,365 miles .
Given :
→ initial time of plane = 1.7 hours
→ initial speed = 140 mph
→ final time of plane = 9.6 hours
→ final speed = same = 140 mph
The initial displacement of the plane is :
distance = speed × time
= 1.7 × 140
= 238 miles
The final displacement of the plane is :
distance = 9.6 × 140
= 1,344 miles
The angles between initial and final displacement is :
100° - 10 ° = 90 °
The distance of the plane from its starting point is calculated as follows
d = \(\sqrt{238^{2}+ 1344^{2} }\)
d = \(\sqrt{56644 + 1806336}\)
= \(\sqrt{1862980}\)
= 1364.9 miles ≈ 1,365 miles
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What is the cost of the jacket including 8% sales tax if the jacket cost $75.00?
Answer:
$81
Step-by-step explanation:
Answer:
Im pretty sure it is $81.00. I think
Step-by-step explanation:
please help me to understand how this problem was solved. if you aren't going to explain don't even bother. no trolling :0
Answer:
see below
Step-by-step explanation:
In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.
pls help me with this solve!
The point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant, abscissa of origin is -4, the sign of y - coordinate below the x-axis is negative and the coordinate of a point lying on the y axis at -3 is (0,-3).
Given nothing but we are required to answer the given questions.
a)The point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant.
b) Abscissa of origin is -4.
c) The sign of y - coordinate below the x-axis is negative,
d) The coordinate of a point lying on the y axis at -3 is (0,-3).
Hence the point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant, abscissa of origin is -4, the sign of y - coordinate below the x-axis is negative and the coordinate of a point lying on the y axis at -3 is (0,-3).
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What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator
the area of a rectangle is (4x² - 100) and its width is (x + 5). find the length of the rectangle
A person whose eye level is 11 ft above the ground is looking at a building. The angle of elevation to the top of the building is 22 degrees and the angle of depression to the bottom of the building is 34 degrees. What is the height (in feet) of the building? Round your answer to the nearest foot.
Answer:
The building has a height of 14 feet.
Step-by-step explanation:
At first we construct the geometrical diagram respective to the person-building system, whose result can be seen in the attached image. We proceed to describe each variable:
\(h\) - Height of the eye level above the ground, measured in feet.
\(H\) - Height of the building, measured in feet.
\(\alpha\) - Angle of elevation, measured in sexagesimal degrees.
\(\beta\) - Angle of depression, measured in sexagesimal degrees.
\(r\) - Distance between eye level and the bottom of the building, measured in feet.
\(r'\) - DIstance between eye level and the top of the building, measured in feet.
By using trigonometric ratios and functions we find that height of the building is represented by the following formula:
\(H = r\cdot \sin \beta + r'\cdot \sin \alpha\) (Eq. 1)
But \(r\) and \(r'\) can be obtained by these expressions:
\(r = \frac{h}{\sin \beta}\) (Eq. 2)
\(r' = \frac{r\cdot \cos \beta}{\cos \alpha}\) (Eq. 3)
By (Eq. 2) in (Eq. 3):
\(r'= \frac{h}{\cos \alpha \cdot \tan \beta}\) (Eq. 3b)
Now, we expand (Eq. 1) by (Eqs. 2, 3b):
\(H = h + h \cdot \tan \alpha \cdot \tan \beta\)
\(H = h\cdot (1+\tan \alpha \cdot \tan \beta)\) (Eq. 4)
If we know that \(h = 11\,ft\), \(\alpha = 22^{\circ}\) and \(\beta = 34^{\circ}\), the height of the building is:
\(H = (11\,ft)\cdot (1+\tan 22^{\circ}\cdot \tan 34^{\circ})\)
\(H = 13.998\,ft\)
The building has a height of 14 feet.
This is something I have been trying forever !!!
Answer:45 degrees
Step-by-step explanation: The opposite angles theorem
Answer:
45
.................. . ...
i need now help me i need help
Answer:
9.53333333333
Step-by-step explanation:
* = x so you multiply
Answer:
3 2/3= 11/3
2 3/5= 13/5
11/3*13/5
143/15
9 8/15
Step-by-step explanation:
you have to change it to an improper fraction first
What is the value of the expression
-13(21 4/9)
The value of the expression is 284 5/ 9
What is a fraction?A fraction can be defined as the part of a whole.
Some types of fractions are;
Mixed fractionsSimple fractionsImproper fractionsProper fractionsGiven the fraction;
-13(21 4/9)
First, we convert the mixed fraction in the bracket to a proper fraction
- 13( 197/ 9)
Now, let's expand the bracket
-2561/ 9
Find the quotient
284 5/ 9
Thus, the value of the expression is 284 5/ 9
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Can someone check me on this?
A line is imaginary.
True
False
I said false. Is this correct?
What is 174,000 in science notation
Answer:
1,5,3 your welcome
Step-by-step explanation:
What is the range of g?
Trigonometry
Help with number 2 please
Answer:
\(x = 6\)
\(y=3\sqrt{2}\)
Step-by-step explanation:
So, this triangle is a 45-45-90 triangle.
This special triangle's values for the base and the height are equal, so y, the base, is equal to the height, \(3\sqrt{2}\).
The hypotenuse, x, is equal to the base or height, multiplied by \(\sqrt{2}\).
So, \(3\sqrt{2}\) x \(\sqrt{2}\) is equal to 3 x \(\sqrt{2}\) x \(\sqrt{2}\).
\(\sqrt{2}\) x \(\sqrt{2}\) is equal to 2.
Finally, 3 x 2 = 6
x = 6, y = 3√2
Please solve this Question!!
I'll give u Brainliest:)
The angle AOB will be a right angle if x = 27.5
What value of x will make AOB a right angle?
AOB will be a right angle if the angle AOB is 90°, then we can write the linear equation:
2x + 30 + 2x - 50 = 90
These are the two measures that conform AOB.
Solving that linear equation we will get:
2x + 30 + 2x -50 = 90
4x - 20 = 90
4x = 90 + 20 = 110
x = 110/4 = 27.5
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in a reaction time study involving 12 participants, the number of participants whose average time is between 400 and 600 milliseconds
Using the concepts of continuous and discrete variables it is found that the reaction time of students would be a continuous variable.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks to classify the variable reaction time of students as discrete or continuous.
What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …A reaction time of 500.5 milliseconds is a valid reaction time, hence a decimal value is accepted, meaning that the reaction time of students would be a continuous variable.
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the degrees of freedom for a data table with 10 rows and 11 columns is?
The degrees of freedom for a data table can be calculated using the formula:
Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)
In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:
Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90
Therefore, the degrees of freedom for the given data table is 90.
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Here is a system of equations: 6.2 -y= 18 4x + 2y = 26 Select all the steps that would help to eliminate a variable and enable solving. Divide the second equation by 2. then add the result to the first equation. Multiply the first equation by 2. then add the result to the second equation. Multiply the first equation by 4 and the second equation by 6, then subtract the resulting equations. O Multiply the second equation by 6, then subtract the result from the first equation. Multiply the first equation by 2. then subtract the second equation from the result.
to eliminate the variable y
we have steps are,
1) Divide the second equation by 2. then add the result to the first equation
or
2) Multiply the first equation by 2. then add the result to the second equation
or
3) Multiply the first equation by 4 and the second equation by 6, then subtract the resulting equations.
so the answer is the first three options.
Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
n the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
Answer:
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
a) 2x + 3x + 9
b) 2x + 3 + 9
c) 2x + 3x + 9x
d) 2 + 3x + 9
Answer:
a) 2x + 3x + 9
Step-by-step explanation:
find the slope of the line through each pair of points (3,-20) , (5,8)
Answer:
m = 14
Step-by-step explanation:
(-20 - 8 ) / ( 3 - 5)
-28/-2
28/2
14
The sum of the ages of Ahsan and his mother is 61 year old. The difference in their ages is 29.
Answer:
mom is 45
ahsan is 16
Step-by-step explanation:
a+m=61
m-a=29
m=a+29
substitute
2a+29=61
2a=32
a=16
m=45
Gaurav takes 15 rounds of a rectangular park whose length is twice its breadth. If the total distance covered by Gaurav is 900m find the length and breadth of the park
Answer:
length = 20 breadth = 10
Step-by-step explanation:
divide 900 by 15
= 60
60 divided by 6 because the length is twice the breath
60 / 6 is 10
so ten is the breadth of one side and double that is 20 so the length is 20
Hope this helped!
The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor
Answer:
477 yards
Step-by-step explanation:
1 foot to a yard is 0.333333.
1431 times 0.333333=477yards
Pls help asapppppp!!
Answer:
254
Step-by-step explanation:
first find the diameter of the big circle by adding the 2 founded numbers
which is 18
then the Radius = 9
to find area,
\(\pi{(r) }^{2} \)
which is
\(81\pi \: or \: 254\)
Point f has coordinates the ordered pair seven, three and lies on line fp, which has a slope of ten. determine the equation of line fp in slope-intercept form.
y = 10x - 67 is he equation of line fp in slope-intercept form
What is slope intercept form ?Slope-intercept equations are a particular kind of linear equation. It follows the overall structure listed below. The equation is y = mx + b, where m is the line's slope, b is its y intercept, y is the line's coordinate, and x is its coordinate.
Given that :Point f has coordinates the ordered pair seven, three and lies on line fp, which has a slope of ten.
we have y coordinate as 7 and x coordinate as 3
slope m is 10
general equation is y = mx + b
by putting the value of y ,x and slope(m) in general equation y = mx +b we will get the value of y intercept
3 = 7(10) + b
3 = 70 +b
-67 = b
Now put the value of b and m again in general equation y =mx+b
y = 10x - 67
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How do you know if a polynomial graph is positive or negative?
To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.
If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.
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