anyone good at trigonometry please help
to find the vertical height
multiply the tangent of the angle by the horizontal distance
so tan(12) x 5 = 1.0628
rounded to nearest hundredth = 1.06 miles
In 1 1/2 h, a lawnmower uses 2 1/16 gal of fuel. How many gallons of fuel did the lawnmower use each hour?
Answer:
[tex]\frac{11}{8}[/tex] [tex]\text{gallons}[/tex]
Step-by-step explanation:
Given: In [tex]1\frac{1}{2}[/tex] hour, a lawnmower uses [tex]2\frac{1}{16}[/tex] gallon of fuel.
To Find: How many gallons of fuel did the lawnmower use each hour.
Solution:
Number of hour lawnmower used [tex]=1\frac{1}{2}[/tex] [tex]\text{hour}[/tex]
[tex]\frac{3}{2}[/tex] [tex]\text{hour}[/tex]
Fuel consumed by lawnmower [tex]=2\frac{1}{16}[/tex] [tex]\text{gallon}[/tex]
[tex]\frac{33}{16}[/tex] [tex]\text{gallon}[/tex]
Fuel used by lawnmower each hour [tex]=\frac{\text{Total fuel used}}{\text{Total time taken}}[/tex]
[tex]=\frac{\frac{33}{16}}{\frac{3}{2}}[/tex]
[tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]
Hence the fuel consumed by lawnmower each hour is [tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]
10 1/2 pages are written in 4 hours. How many pages per hour?
If five times the square of a certain positive number is decreased by twice the number, the result is 16. Find the number.
Tucker drove at a speed of 45 miles per hour. This means that Tucker traveled _______ feet per second.
Answer:
the answer is 66 feet per second.
translate into an equation:
1) The difference between a number and fifteen is seven.
2) Four more than three times a number is thirteen.
3) The sum of three consecutive odd integers is fifty-one.
Virginia beach is about 20 miles wide and 28 miles long. if one inch of rain falls there during a daily rain shower, how many cubic feet of rain fell? (convert all units to feet first)
If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangle in terms of x?
A. x units
B. x√2 units
C. x√3 units
D. 2x units
The length of one leg of the large right triangle in terms of x is; B. x√2 units
How to find the length of a triangle?The smaller triangles ABD and BDC are isosceles triangles. Thus;
AD = BD = x
DC = BD = x
The hypotenuse AC is equal to;
AC = AD + DC
AC = x + x
AC = 2x
Using Pythagoras theorem;
AC² = AB² + BC²
AC² = 2AB²
AB = AC/√2
AB = 2x/√2
Rationalizing the denominator, we have;
AB = x√2
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The greatest integer function, shown below, is defined so that it produces the greatest integer __ or equal to x. f(x) = [ [x] ]
Less than or equal to X :)
The greatest integer function is defined so that it produces the greatest integer less than or equal to x
What is a function?A relation is a function if it has only One y-value for each x-value.
The greatest integer function, denoted by [x], produces the greatest integer less than or equal to x.
Let us consider a example to understand better
[3.8] = 3, [-2.4] = -3, [0] = 0, and [-7] = -7.
The function f(x) = [[x]] applies the greatest integer function twice to x
so f(x) produces the greatest integer less than or equal to the greatest integer less than or equal to x.
Hence, the greatest integer function is defined so that it produces the greatest integer less than or equal to x
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Last year ratchel contributed $105 each month toward her 401(k) account. If her employer matched 17% of her contribution,what was the total amount contributed to the 401(k) at the end of the year?
What would be an appropriate measure to describe the size of a soccer field?
tons
square feet
cubic centimeters
miles
describe a way in which the diagram above illustrates the unique line postulate.
2. Dan poured 5 cups of water into a rectangular container measuring 8 inches by 6 inches by 7 centimeters.
[1 cup = 14.44 cubic inches; 1 inch = 2.54 cm]
Part A: What is the maximum volume of water that the rectangular container can hold? Show your work. (3 points)
Part B: How many cubic inches of water was poured into the container? (3 points)
The mesaure of an angles supplement is 28 more than 3 times the measure of the angle. find the measure o the angle and its suplment
Standard deduction on federal income tax return for head of the household is $8350. hilda, a single mom of two, paid $6780 in state income tax and $1230 in mortgage interest last year. how should she file her taxes?
The answer is Claiming standard deduction
Answer:
Hilda can file her taxes by claiming standard deduction.
Step-by-step explanation:
Standard deduction is that amount of someone's income, for which tax is not to be paid, thus reducing the tax bill amount. The amount of the standard deduction is based on one's filing status, age, disability, dependency etc.
Here in this scenario, Hilda can claim standard deductions.
Find the quotient of 10/5
Please help me. Thnx
A sum of money is divided in ratio 3:5:9 . Calculate the smallest share given that the largest share is $558
is this right? putting that into scientific notation
4.6 x 10 ^8 = 460,000,000
you are correct
An _____ angle of a triangle is equal to the sum of the two remote interior angles
What is the period of y = 3cot(4x - 3pi)
Answer:
.25
Step-by-step explanation:
PLATO
The answer is y=25.
What's the period formula?Every whole oscillation, known as the length, is steady. The method for the duration T of a pendulum is T = 2π square root of√L/g, where L is the period of the pendulum and g is the acceleration because of gravity.
What are period and frequency?Frequency refers to how often something occurs. period refers back to the time it takes something to take place. Frequency is a rate amount. The period is a time amount. Frequency is the cycles/second.
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What are the steps to find x
Bob has 36 candy bars and eats 29. What does he have now?
The number of candies Bob left by subtraction will be 7.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
The group's total number of items decreases or becomes lower when we subtract from it.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
As per the given,
Total number of candies = 36
Number of candies Bob ate = 29
Left out = 36 - 29 = 7
Hence "The number of candies Bob left by subtraction will be 7".
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7533/10000 in simplest form
jeffs dog weighs 76 pounds. what is the doofs weight rounded to the nearest tens pounds?
Simplify 3^5/3^2.
I do have a basic understanding but I need help on this.
How many times does 15000 go in to 3000000?
To determine how many times 15000 goes into 3000000, divide 3000000 by 15000. The answer is 200.
To find out how many times 15000 goes into 3000000, we need to perform a simple division.
We divide 3000000 by 15000:
3000000 ÷ 15000 = 200
Thus, 15000 goes into 3000000- 200 times.
Prove the diagonals of the square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0) are perpendicular bisectors of each other.
Step 1: calculate the slope of the diagonals.
The slope of diagonal PS is ____
The slope of diagonal QR is ____
Step 2: calculate the midpoint of the diagonals
The midpoint of PS is ___
Midpoint of QR is ___
The diagonals are perpendicular because the product of their slope is -1, and their midpoint is same (2,2). Hence, it is proved that the diagonals of the given square are perpendicular bisectors of each other.
Given information:
The square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0).
It is required to prove that the diagonals of the given square are perpendicular bisectors.
First, calculate the slope of the diagonals.
The slope of diagonal PS will be,
[tex]m = \dfrac{0-4}{4-0}\\m = -1[/tex]
So, the slope of diagonal PS is -1.
The slope of diagonal QR will be,
[tex]m' = \dfrac{0-4}{0-4}\\m' = 1[/tex]
So, the slope of diagonal QR is 1.
From the slope of the diagonals, the diagonals are perpendicular because the product of slope is -1.
Now, it is required to find the mid-point of the diagonals.
The midpoint of PS will be,
[tex](x,y)=(\dfrac{0+4}{2},\dfrac{4+0}{2})=(2,2)[/tex]
Midpoint of QR will be,
[tex](x,y)=(\dfrac{4+0}{2},\dfrac{4+0}{2})=(2,2)[/tex]
So, the midpoint of both the diagonals is also same.
Therefore, it can be said that the diagonals are perpendicular because the product of their slope is -1, and their midpoint is same (2,2). Hence, it is proved that the diagonals of the given square are perpendicular bisectors of each other.
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Answer:
-1, 1, (2,2), (2,2), and perpendicular and share the same midpoint
Step-by-step explanation:
Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is
The value of ac for the quadratic expression 9x^2 - 16 is -144. The value of b is 0, as it represents the coefficient of x, which is absent in the expression. Therefore, we do not need two numbers that multiply to ac and add to b; the expression is factored using the difference of squares as (3x + 4)(3x - 4).
Explanation:The polynomial 9x2 − 16 is a quadratic expression that can be factored using the difference of squares method. To answer the questions:
The value of ac is the product of the coefficient of x2 and the constant term, which in this case is 9 × (− 16) = − 144.The value of b in the standard form ax2 + bx + c is the coefficient of x, which is 0 since there is no x term in the original expression.To factor, we need two numbers that multiply to ac (which is − 144) and add up to b (which is 0). However, this step is not applicable as the polynomial is already in the form a2 − b2 and will be factored as a difference of squares.The factored form of the polynomial is (3x + 4)(3x − 4).what's the equation of the line parallel to the equation 2x+6y=-4 and that passes through the point (3, -3) .