Sasha finished mowing lawns at 4:15 PM. It took 1 3/4h to mow the first lawn. The second and third lawns she mowed each took 1 1/5 h. She took one 45-min break. When did Sasha begin mowing the first lawn? A. 10.05 A.M. B. 11:05 A.M. C. 11:21 A.M. D. 12:21 P.M.

Answers

Answer 1

Answer: The time it took to mow all the lawns including the break he took was 1 3/4+1 1/5+1 1/5+3/4=
2 1/2+2 2/5= 4 9/10 which is 4 hours and 54 minutes and if he got done at 4:15pm then he started 4 hours and 54 minutes before at
C. 11:21 A.M.

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Answers

A=148°

B=148°

Step-by-step explanation:

180-38=148°

because A and B are equal, they're both 148°

Let f(x) = 16x5 – 48x4 – 8x3 and g(x) = 8x2. Find f of x over g of x. a) 2x2 + 6x + 1 b)2x2 – 6x – 1 c)2x3 + 6x2 + x d)2x3 – 6x2 – x

Answers

The answer is d)2x3 – 6x2 – x.

It is given:
$f(x)=16 x^(5)-48 x^(4) -8 x^(3)$
$g(x)=8 x^(2)$

We should find:
$f( (f(x))/(g(x)) )$

So, we just need to replace it in the equation:
$f( (f(x))/(g(x)) )= (16 x^(5)-48 x^(4) -8 x^(3))/(8 x^(2))$

Let's now separate each member of equation:
$f( (f(x))/(g(x)) )= (16 x^(5))/(8 x^(2)) - (48 x^(4))/(8 x^(2)) - (8 x^(3))/(8 x^(2)) = (16)/(8) x^(5-2) -(48)/(8) x^(4-2) -(8)/(8) x^(3-2)$

$f( (f(x))/(g(x)) )=2 x^(3) -6 x^(2) -x$

Answer:

$\boxed{\boxed{(f(x))/(g(x))=2x^3-6x^2-x}}$

Step-by-step explanation:

Here given that,

$f(x) = 16x^5-48x^4-8x^3\n\ng(x) = 8x^2$

So $(f(x))/(g(x))$ will be,

$(f(x))/(g(x))=(16x^5-48x^4-8x^3)/(8x^2)$

Applying single division,

$(16x^5-48x^4-8x^3)/(8x^2)=(16x^5)/(8x^2)-(48x^4)/(8x^2)-(8x^3)/(8x^2)$

Simplifying further,

$(16x^5)/(8x^2)-(48x^4)/(8x^2)-(8x^3)/(8x^2)=2x^3-6x^2-x$

An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll?(Hint: Make sure your calculator is in degrees!)A. 5399.7 km
B. 5.4 km
C. 81.41 km
D. 760.8 km

Answers

You need to draw the diagram to understand the problem easily. Teh diagram will show the right triangle, acute angle with the base 7º, height is 663 m, and "x" is the base of the triangle.

using the tangent ratio:

tanΘ = opposite / adjacent

tan7º = 663 m / x

x = 663 m / tan7º
x = 5,399.7 m

change m to km. 1,000 m = 1km

5,399.7m * 1km/1,000 m = 5,399.7 km/1000 = 5.3997 km or 5.4 km

B. 5.4 km

What’s greater 5 1/2 or 5 1/4

Answers

Answer:5 1/2

Step-by-step explanation:5 1/2= 5.50

5 1/4= 5.25

5.50>5.25

Answer: I’m pretty sure it’s 5 1/2

Step-by-step explanation:

Find 2 consecutive integers that the sum is 149?

Answers

The two consecutive integers that the sum is 149 are 74 and 75.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is 149. The two consecutive integers can be calculated as below,

Suppose the two consecutive integers are x and ( x + 1 ).

x + ( x + 1 ) = 149

2x + 1 = 149

2x = 148

x = 148 / 2

x = 74

The second integer would be,

x + 1 = 74 + 1 = 75

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Write an equation. To do this, make one integer equal to x, and the other equal to x+1. Set these equal to 149. Your equation should read x+(x+1)=149. Solve. To do this, add the two x's together. Your equation is now 2x+1=149. Get your x's alone. First, subtract 1 from both sides. Now the equation is 148=2x. Divide both sides by 2 to get x alone. You now have x=74. Plug this value back into the original equation to find your value for the other integer, and you have the two integers as 74 and 75. Hope this helps!

Which of the following statements is always true? A. Acute triangles are scalene. B. Scalene triangles are acute. C. Acute triangles are equilateral. D. Equilateral triangles are acute.

Answers

D.) equilateral triangles are acute.
- In an equilateral triangle, the 3 angles are always 60 degrees.

Final answer:

None of the given options in the question are true. Not all acute, scalene or equilateral triangles are the other types. They have distinct characteristic which defines them.

Explanation:

The subject matter of this question is about the different types of triangles, namely acute triangles, scalene triangles, and equilateral triangles.

An acute triangle is a triangle in which all three angles are less than 90 degrees. A scalene triangle is a triangle where all sides and angles are different. An equilateral triangle is a triangle where all sides and angles are equal, with each angle being 60 degrees.

Looking at these definitions, we can see that none of the given options are true. Not all acute triangles are scalene (they can be isosceles or equilateral), not all scalene triangles are acute (they can be obtuse or right), not all acute triangles are equilateral (they can be scalene or isosceles), and not all equilateral triangles are acute (they are, by definition, always acute).

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