he spent 15 mins for lunch. I wish you used a comma for 3, 70 min classes lol. tripped me up a sec
Final answer:
Bennett spent 20 minutes eating lunch, which was calculated by subtracting the time he spent in classes and during breaks from his total time at school.
Explanation:
To determine how long Bennett spent eating lunch, we need to subtract the time he spent attending classes and the breaks between classes from the total time he was at school. Bennett attended 3 classes, each lasting 70 minutes, so the total class time is 3 classes × 70 minutes/class = 210 minutes. There are 2 breaks between classes, each lasting 5 minutes, adding up to 2 breaks × 5 minutes/break = 10 minutes.
Total time spent on classes and breaks is 210 minutes + 10 minutes = 220 minutes or 3 hours and 40 minutes. Since Bennett was at school for 4 hours (or 240 minutes), the time spent eating lunch can be calculated by subtracting the class and break time from the total time at school: 240 minutes - 220 minutes = 20 minutes.
Therefore, Bennett spent 20 minutes eating lunch.
Find the circumference of a circle with radius,
r
= 7.5m.
Give your answer rounded to 1 DP.
Answer: C≈47.12m
Step-by-step explanation:
C=2π r=2· π· 7.5≈47.12389m
* Hopefully this helps:)Mark me the brainliest:)!!
What is the answer to this please?
Answer:
D
Step-by-step explanation:
The sides of a regular hexagon are congruent
Given that 1 side = 15in, then
perimeter = 6 × 15 = 90 in → D
If a 13-foot ladder makes a 58 angle with the ground, how many feet up a wall will it reach? Round your answer to the nearest tenth.
Answer:
11.02 = a, rounded to the nearest 10th
Step-by-step explanation:
The length of the ladder (13 ft) forms the hypotenuse of the triangle when leaned against the house. The distance the ladder goes up the wall is the side opposite to the angle we are working with, so we can use the sine function to solve.
Sin X = (opposite side)/(hypotenuse)
Sin 58 = a/13
13(Sin 58) = a
11.02462525 = a
11.02 = a, rounded to the nearest 10th
A 13-foot ladder making a 58-degree angle with the ground will reach approximately 6.9 feet up a wall when we use the cosine function to calculate the height.
To find how many feet up a wall a 13-foot ladder will reach when it makes a 58-degree angle with the ground, we can use trigonometric functions, specifically the cosine function for adjacent and hypotenuse in a right-angled triangle.
The formula we will use is:
cosine(angle) = [tex]\frac{height}{hypotenuse}[/tex]
Re-arranging the equation to solve for the adjacent side, we get:
adjacent side = cosine(angle) * hypotenuse
Now plug in the values:
adjacent side = [tex]cosine(58 ^0) * 13 feet[/tex]
We can calculate the cosine of 58 degrees using a calculator and multiply it by 13, which will give us the height the ladder reaches on the wall. Let's calculate:
adjacent side = 0.5299 * 13 feet
adjacent side = 6.8887 feet
Therefore, a 13-foot ladder at a 58-degree angle with the ground will reach approximately 6.9 feet up a wall.
Justin receives $15 and puts it into his savings account. He adds $0.25 to the account each day for a number of days, d, after that. He writes the expression 15+0.25(d−1) to find the amount of money in his account after d days. Which statement about his expression is true?
a. It is the sum of the initial amount and the additional amount after d days.
b.It is the product of the initial amount and the additional amount after d days.
c.It is the sum of the initial amount and the number of days, d.
d.It is the difference between the initial amount and the additional amount after d days.
Answer:
expression a
Step-by-step explanation:
The given expression is 15+0.25(d−1).
let suppose,
15 = a
0.25(d−1) = b
we get a + b
It clearly indicates the given expression is sum of two entities, we can exclude option b and option d.
Now we are left with option a and c, for that we have to evaluate the term b
b = 0.25(d−1) that is the additional amount after d days
Therefore, expression a is correct.
Answer:
It is the sum of the initial amount and the additional amount after d days.
Step-by-step explanation:
It is the sum of the initial amount and the additional amount after d days. i have ttm
Find the area of the figure to the nearest tenth.
31.5in² hopefully this helps
The area of a sector can be calculated using a given formula. After adjusting for the given radius and angle, the approximate area of the sector is 31.1 cm^2.
Without specifications about the figure, let's consider it as a sector of a circle.
The area of a sector can be calculated using the formula Area = (angle / 360) * π * (radius)^2.
But here we are given the base length, which is actually the diameter for the whole circle.
Hence, the radius would be base/2 which is 9/2 = 4.5 cm.
So, by substituting the given values in the formula, the area will be Area = (140 / 360) * π * (4.5)^2 = 31.07 cm^2 approx. So, the area of the figure to the nearest tenth is 31.1 cm^2.
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Find the distance between the two points. Round to the nearest tenth if necessary. (6, 11), (0, 3) a. 10 b. 14 c. 15 d. 100
Answer: option a
Step-by-step explanation:
You must apply the formula for calculate the distance between the two points. which is shown below:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore, keeping on mind that the points given in the problem are (6, 11), (0, 3), when you substitute values into the formula shown above, you obtain that the distance between these two points is the following:
[tex]d=\sqrt{(0-6)^2+(3-11)^2}\\d=10[/tex]
Answer:
a. 10
Step-by-step explanation:
We have been given two points (6, 11) and (0, 3). Now we need to find the distance between points (6, 11) and (0, 3) and check which of the following choices are correct:
(6, 11), (0, 3) a. 10 b. 14 c. 15 d. 100
Also we should round to the nearest tenth if necessary.
Apply distance formula :
[tex]distance =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]distance =\sqrt{\left(0-6\right)^2+\left(3-11\right)^2}[/tex]
[tex]distance =\sqrt{\left(-6\right)^2+\left(-8\right)^2}[/tex]
[tex]distance =\sqrt{36+64}[/tex]
[tex]distance =\sqrt{100}[/tex]
[tex]distance =10[/tex]
Hence correct choice is a. 10
How many square feet of outdoor carpet will we need for this hole
I say 8 is the answer.
Proof:
[tex]3 + 2 + 3 = 8[/tex]
So 8ft is my answer.
Answer:
36 square feet outdoor carpet will be required for this hole.
Step-by-step explanation:
A triangle colored in green with a rectangular hole has been given in the figure.
Area of the outdoor carpet will be calculated by the expression,
Area of the carpet = Area of the right triangle - Area of the rectangle removed from the triangle
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}\times (12)\times (7)[/tex]
= 42 square ft
Area of the rectangle = Length × Width
= 3×2
= 6 square ft
Area of the remaining area to be covered with the carpet = 42 - 6
= 36 square feet
Therefore, area of the outdoor carpet required for the hole = 36 feet²
You plan to buy a DVD player 10 weeks from now. If the DVD player costs $260, how much money must you save each week in order to buy it? "Work must be shown."
$260 divided by 10 weeks equals $26 a week
Using similar triangles to find an unknown value. What is the value of x?
Find the cost of one item to the nearest cent. Round if necessary. 8 lbs. of apples for $9.52
Answer:
76.16
Step-by-step explanation:8 multiplied by 9.52
Find the doubling time of an investment earning 7% interest if interest is compounded continuously
Answer:
The doubling time of this investment would be 9.9 years.
Step-by-step explanation:
The appropriate equation for this compound interest is
A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.
If P doubles, then A = 2P
Thus, 2P = Pe^(0.07t)
Dividing both sides by P results in 2 = e^(0.07t)
Take the natural log of both sides: ln 2 = 0.07t.
Then t = elapsed time = ln 2
--------- = 0.69315/0.07 = 9.9
0.07
The doubling time of this investment would be 9.9 years.
To calculate the doubling time for an investment earning 7% interest compounded continuously, the Rule of 70 is used, which suggests that the investment will double in approximately 10 years.
To find the doubling time of an investment earning 7% interest compounded continuously, we can use the Rule of 70. The Rule of 70 is a quick and useful formula that estimates the number of years it takes for an investment to double given a fixed interest rate, specifically for interest rates below 10%. Here's how you can use it:
Take the number 70 and divide it by your interest rate. In this case, the interest rate is 7%.The formula looks like this: Doubling Time (in years) = 70 / interest rate.Therefore, the doubling time for an investment earning a 7% interest rate is approximately 70 / 7, which equals 10 years.The Rule of 70 assumes continuous compounding. Thus, if an investment has a consistent return of 7% per year, compounded continuously, it will take roughly 10 years to double.
It's also worth noting that the Rule of 72 can be used in a similar way to estimate the doubling time more roughly. In this case, using the Rule of 72, dividing 72 by the interest rate of 7% would provide an estimation of approximately 10.3 years. This is a close approximation and often used due to its simplicity.
HELP!
Find the difference: 45.6 - 0.01
A) 35.6
B) 44.59
C) 44.6
D) 45.59
It would be D because 45.60-.01 would mean you subtract the .01 from the .60
Answer:
D)4.193
Step-by-step explanation:
Use distributive property to write an expression that is equivalent to the expression below. 5(2x + 7)
[tex]5(2x + 7) = 10x + 35[/tex]
The given expression 5(2x+7) is equivalent to (10x+35).
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication. similarly, in polynomial expression we can use the distributive property for example we can write a(c+b) in the form of (ac+bc).
We have a polynomial expression:
= 5(2x+7)
By using the distributive property we get
=(5×2x+5×7)
= (10x+35)
Thus, the given expression 5(2x+7) is equivalent to (10x+35).
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Diego’s neighbors paid him to take care of their fish when they went on vacation. He spent $13 of his earnings on a book and $9 on some art supplies. Afterward, he had most $10 left. Write an inequality to represent how much Diego’s neighbors paid him. Then solve the inequality.
[tex]13 + 9 + 10 = 33[/tex]
Diego's neighbors paid him $33.
what is the expression of 3/4 times 5/7 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 x 5 = 15
4 x 7 = 28
the answer is 15/28
;)
How many solutions does this system have?
The system has Infinite solutions
Find the exact area of the shaded region
Answer:
B: 192pi - 144
Step-by-step explanation:
Area of the sector = (120/360) * pi * r^2
Area of the sector = 1/3 * pi * 24 * 24
Area of the sector = 192 * pi
Now to find the area of the triangle.
The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.
the small angles are equal to
2x + 120 = 180 Subtract 120 from both sides
2x = 60 Divide by 2
x = 60/2
x = 30
The height of the triangle is derived from sin(30) = opposite / hypotenuse
sin(30) = 1/2
hypotenuse = 24
1/2 = opposite / hypotenuse
1/2 = opposite / 24 Multiply both sides by 24
1/2 * 24 = opposite
opposite = 12
The height = 12
r = 24
Area of the triangle = 1/2 * 12 * 24
Area of the triangle = 144
So the area of the shaded area = 192*pi - 144 which looks like B
The area of the shaded region of the circle in terms of pi is 192π - 144√3 m².
The correct option is B) 192π - 144√3 m².
What is the area of the shaded region?The shaded area of the circle is a segment, to determine the area of the segment, we simply subtract the area of the triangle from the area of the sector.
Note that; the area of a sector is expressed as:
Area = (θ/360) × πr²
Area of a triangle can be expressed as:
Area = ab × (sinθ)/2
Hence, the area of the shaded region will be:
Area = ( (θ/360) × πr² ) - ( ab × (sinθ)/2 )
Plug in the values and simplify:
Area = ( (120/360) × π × 24² ) - ( 24 × 24 × (sin120)/2 )
Area = ( 192π ) - ( 144√3 )
Area = 192π - 144√3
Therefore, the shaded area measures 192π - 144√3 square meters.
Option B) 192π - 144√3 m² is the correct answer.
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A passenger in an airplane flying at an altitude of 37,000 feet sees two towns directly to the west of the airplane. The angles of depression to the towns are 32° and 76°. How far apart are the towns?
Answer:
[tex]49,987.24\ ft[/tex]
Step-by-step explanation:
Let
x-----> distance from the two towns
we know that
In the right triangle ABC
[tex]tan(32\°)=37,000/(x+y)\\x+y=37,000/tan(32\°)[/tex]
In the right triangle ABD
[tex]tan(76\°)=37,000/(y)\\y=37,000/tan(76\°)[/tex]
see the attached figure to better understand the problem
Remember that
(x+y)-y=x
so
[tex]x=\frac{37,000}{tan(32\°)} -\frac{37,000}{tan(76\°)}[/tex]
[tex]x=49,987.24\ ft[/tex]
Pls help me with number and thanks!
Answer:
the answer would be 3,-5
Step-by-step explanation:
you rotate it in a 90 degree clockwise rotation and you end up with 3,5 and when you reflect it upon the x-axis your point ends up at 3,-5
Answer:
3,-5
Step-by-step explanation:
If you rotate it in a 90 degree rotation in the clock direction you will end in 3.5 and your x-axis will result in 3.5.
if one apple costs .25 and i want to buy 100 apples how much will it cost
Hello.
To find our answer we need to do .25 x 100.
0.25
x 1 00
_________ STEP 1: Calculate 5 x 1 to get 5.
5 00
--
0.25
x 1 00
_______ STEP 2: Multiply 2 x 1 to get 2.
2 5 00
We've simply have our answer, but are not done.
We have 2500 but we cannot forget about the decimal.
We need to move it over 2 times.
Our final answer is 25.00
So she will pay $25.00 total for 100 apples.
Have an amazing day & thanks for using Brainly!
Solve x^2+8x=33 by completing the square. Which is the solution set of the equation? A. -11,3. B. -3,11. C. -4,4. D. -7,7
Answer:
A
Step-by-step explanation:
x^2 +8X = 33
x^2 +8X +(8/2)^2 = 33 + (8/2)^2
(x + 8/2)^2 = 49
(x +4)^2 = 49
x = -11
x = 3
The values of x in the given quadratic equation by completing the square are -11 and 3.
Hence, option A)-11,3 is the correct answer.
What is a Quadratic Equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given th equation in the question;
x² + 8x = 33
Using completing the square method
First we take the half of the x term and square it
( 8/2 )² = 16
Now we add 16 to both sides
x² + 8x + 16 = 33 + 16
Next, we rewrite the perfect square on the left
( x + 4 )² = 33 + 16
( x + 4 )² = 49
We take square root of both sides
x + 4 = √49
x = -4 ± √49
x = -4 ± 7
x = -4 - 7 or -4 + 7
x = -11 or 3
x = -11, 3
The values of x in the given quadratic equation by completing the square are -11 and 3.
Hence, option A)-11,3 is the correct answer.
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If you are measuring the amount of water evaporated from a swimming pool, would gallons or quarts give you a more precise measurement? Explain
Gallons would provide a more precise measurement when measuring water evaporation from a swimming pool.
If you are measuring the amount of water evaporated from a swimming pool, gallons would give you a more precise measurement. Gallons is a larger unit of measurement than quarts and therefore provides a more accurate representation of the amount of water evaporated from a swimming pool due to its larger capacity.
If a parallelogram is inscribed in a circle, then it must be a? A. Triangle B.rhombus C. Rectangle D. Trapezoid
The answer for your question is:
C: Rectangle
If a parallelogram is inscribed in a circle, then it must be a Rectangle
What is a parallelogram?Any quadrilateral in which opposites sides are parallel is called a parallelogram.
What is a triangle?Any 2 dimensional figure bounded by 3 sides and sum of all the angles is 180° is called a triangle.
What is a rhombus?A parallelogram with four equal sides and sometimes one with no right angles is called a rhombus.
What is a rectangle?A rectangle is a four sided quadrilateral, having all the internal angles equal to 90 degrees and opposite sides are equal.
What is a trapezoid?A trapezoid is a quadrilateral with one pair of opposite sides parallel.
How to know what the parallelogram will be if it is inserted in a circle ?We know that if a quadrilateral is inscribed in a circle then the sum of its opposite sides will be supplementary (180°)We know that all the angles of a rectangle is 90°. So sum of opposite angles will be 180°.This follows the characteristics features of a circle.
So the required parallelogram will be a rectangle.
Option C is correct.
In rhombus and trapezoid the sum of opposite angles are not 180°.A triangle is not a parallelogram.So, options A , B, D are incorrect.
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x^2=4^2+4^2 Pythagorean theorem
Answer: 5.6?
Step-by-step explanation:
x^= 16+16
x^= 32
find the square root of 32 which is 5.6 pretty sure
Has anyone taken the PERT test? If so, what was the math like? Please give me a rundown of the math if you have taken it. I’m really worried about this part of the test. Thank you!
Answer:
Step-by-step explanation:
yes i did and it was sad because it was so hard mabey some questions where easy but other than that it was hard i whould cry throught the whole pert test but nah i didint
The PERT test's Math portion mainly covers algebra and geometry. It includes topics such as fractions, decimals, percentages, ratios and proportions, linear equations, inequalities, polynomials, quadratic equations, and basic geometry concepts. Preparation, practice, and study guides are recommended to perform well.
Explanation:The PERT (Postsecondary Education Readiness Test) is a placement test used by colleges in Florida to assess a students' college readiness in Reading, Writing, and Mathematics. If you're concerned about the Math section, understanding the content breakdown can be very helpful.
The Math portion of the PERT test primarily includes algebraic and geometry questions, with the main focus being algebra. Topics include but aren't limited to fractions, decimals, percentages, ratios and proportions, linear equations, inequalities, polynomials, quadratic equations, and basic geometry concepts.
Preparing for this test may include using study guides, practice tests, and brushing up on your algebra and geometry skills. Remember utilizing all available resources and allotting ample time to study can greatly help you perform better on the test.
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write a rule for the sequence then find the next three terms 24,27,30,33 . . .
The rule is add 3. The next three terms are 36, 39, 42
There are 3.5 times as many cats as there are dogs. If there are 28 dogs, how many cats are there?
Answer:98 I believe
Step-by-step explanation:
Answer:
98.
Step-by-step explanation:
Number of cats = 28 * 3.5
= 98 cats.
That's a zoo!!
Which is an equation of a direct proportion?
a.y=1/6x+6 b.y=6/x
c.y=6x-6 d.y=6x
Answer:
Option D. y=6x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Verify each case
case a) y=(1/6)x+6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case b) y=6/x
The equation represent an inverse variation
case c) y=6x-6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case d) y=6x
The equation represent a direct variation
Final answer:
Among the options provided, option d. y = 6x is the equation of a direct proportion because it follows the form y = kx where k is the constant of proportionality and there is no added or subtracted constant.
Explanation:
The equation of a direct proportion is one where the dependent variable changes at the same rate as the independent variable. In mathematical terms, if two variables y and x are directly proportional, it implies that y = kx, where k is the constant of proportionality.
Looking at the options provided:
a. y = 1/6x + 6 is not directly proportional because of the addition of the constant 6.
b. y = 6/x is an inverse proportion because y changes inversely with x.
c. y = 6x - 6 is also not directly proportional due to the subtraction of the constant 6.
d. y = 6x perfectly fits the definition of direct proportionality as there is no added or subtracted constant and it follows the form y = kx.
Therefore, the equation of a direct proportion among the options given is d. y = 6x.
In each case, determine if the sides form a right triangle. If they do, place in the Yes column. If not, place them in the No column.
The question is asking to determine whether given sets of sides form a right triangle using Pythagorean theorem. The theorem is verified if the square of the length of the longest side equals the sum of the squares of the two other sides. However, some approximations might not perfectly fit the theorem but still form a right triangle.
Explanation:The subject of this question is the Pythagorean Theorem in the field of Mathematics. The theorem is a fundamental principle in Geometry which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² = b² + c².
To determine whether or not a set of sides forms a right triangle, you would need to check if the lengths satisfy the Pythagorean theorem. If they do, then the sides are potentially those of a right triangle. For instance, if you're given sides with lengths 3, 4, and 5, you can check if 5² equals 3² + 4². Since 5² = 25 and 3² + 4² = 9 + 16 = 25, the sides do form a right triangle.
However, checking with the Pythagorean theorem is only conclusive if the lengths already satisfy the theorem. There might be situations where the length measurements are approximations and might not perfectly fit the theorem despite forming a right triangle.
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Solve the system of equations
y=x-3
y=x^2-5x+6
Answer:
x=3 (double root)
Step-by-step explanation:
We are told that y = x - 3.
Substituting x - 3 for y in the second equation yields:
x - 3 = x² - 5x + 6.
We need to rewrite this in the standard form of a quadratic equation:
Subtracting (x - 3) from both sides results in:
0 = x² - 5x + 6 - x + 3.
Combining like terms gives us:
0 = x² - 6x + 9,
which factors into (x - 3)(x - 3) = 0. Thus, there are two real, equal roots: x = 3 and x = 3.
Subbing 3 for x in the first equation gives us 3 - 3 = 0 = y..
Thus, the solution of this system of equations is (3, 0).
Answer:
(3,0)
Step-by-step explanation: