MATHEMATICS HIGH SCHOOL

My teacher gave us an assignment it says D=S/T 35days = _ weeks

Answers

Answer 1

Answer:

Answer:

To convert 35 days into weeks using the formula D = S / T, where:

- D is the time duration in days (35 days).

- S is the time duration in weeks (what you want to find).

- T is the conversion factor from days to weeks (7 days per week).

You have D = 35 days, and you want to find the equivalent duration in weeks (S).

So, rearrange the formula to solve for S:

S = D / T

Now, plug in the values:

S = 35 days / 7 days/week

S = 5 weeks

So, 35 days is equivalent to 5 weeks.

Answer 2

Answer:

The circumference of the question has established a voluminous magnitude of our resplendent celestial orb, known as the Sun, is empirically approximated to be a staggering 1.40927256905986 x 10^18 cubic kilometers when expressed in the exalted parlance of scientific notation, elegantly rendered with a precision of precisely six significant digits. This numerically magnificent representation, denoted in its abbreviated splendor as 1.409 x 10^18 km³, befits the celestial colossus that reigns supreme within our solar dominion.

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during one week, they produced 345, 298, 452 and 388 parts per day. what was the average number of parts produced each day?
A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations? (3, 7) (1, 8) (−3, −2) (−6, −11)

Two planes intersect in exactly one _____.
line
plane
point
prism

Answers

Two planes (not the same two) can intersect in a line, or
in a plane, or not at all. It depends on their orientation.

Two planes can never intersect in a single point.

Answer:

one plane

Step-by-step explanation:

What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III

Answers

The value of cos(x/2) is required.

The required value is $\cos(x/2)=-\sqrt{(5-2√(5))/(10)}$

Trigonometry

The given value is

$\tan x=(1)/(2)$ where x is in quadrant III.

From trigonometricidentities we have

$\sec^2x=1+\tan^2x\n\Rightarrow \sec^2x=1+((1)/(2))^2\n\Rightarrow \sec^2x=(5)/(4)\n\Rightarrow \cos^(2)x=(4)/(5)\n\Rightarrow \cos x=(2)/(√(5))$

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrantIII so,

$\cos x=-(2)/(√(5))=-(2√(5))/(5)$

$\cos (x)/(2)=\pm \sqrt{(1+\cos x)/(2)}\n =\pm\sqrt{(1-(2√(5))/(5))/(2)}\n =\pm\sqrt{(5-2√(5))/(10)}$

Since, x/2 lies in the secondquadrant and cos (x/2) is negative.

The required value is $-\sqrt{(5-2√(5))/(10)}$

Learn more about trigonometry:

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Answer:

Step-by-step explanation:

The class of 2015 decides to start a T-shirt company. After initial expenses of $280, the purchase each t-shirt for $3.99. They sell each t-shirt for $10.99. how many must they sell to break even?

Answers

$280=budget

10.99-3.99= $7 profit made with each shirt

$280/7= 40

Therefore the class must sell at least 40 t shirts to break even

70 bc, if u round up 3.99 it equals 4. then 4x70=280 the number you want. and if you round up 10.99 to 11 its 770 so you would have 490 left over to buy more

Pls explain me how to solve this

Answers

|f(x)| is equivalent to 2 equations
f(x) when f(x) >= 0 OR -f(x) when f(x)< 0

so |x-11| > 4 is equivalent to
x-11 > 4 when x-11 >= 0 OR
-(x-11) > 4 when x-11 < 0

rearrange
x-11 > 4 when x-11 >= 0 we get
x > 15 when x >= 11 ... means x > 11

-(x-11) > 4 when x-11 < 0 we get
x < 7 when x < 11 ...means x < 7

so we have. x < 7 OR x > 11 for this inequality which is not the correct answer

... now... what is solution for |x-11| < 4
you can try to work as above and should come up with the solution just 'the opposite' which is x > 7 OR x < 11 [ 7 < x < 11 ]

then you work for c) and could work or guess for d)

A painter painted about a half a room in half a day. Coley estimated the painter would paint 7 rooms in 7 days Is Coley estimate reasonable? Explain

Answers

Yes, if the painter can pain 1/2 of a room in 1/2 of a day, then he can paint 1 room in 1 day. This is your unit rate.

The diameter of a round dinner plate is 10 inches. What is the area of the plate? A. 314 square inches
B. 39.25 square inches
C. 39.25 inches
D. 78.5 square inches

Answers

The area of table is 78.5 square inches.

What is area?

A figure's area is the amount of space it takes up in two dimensions. To put it another way, it is the number that tells how many unit squares cover the surface of a closed figure. Square units, such as square inches, square feet, and so on, are the standard measurement for area.

Given the diameter of dinner plate = 10 inches

shape of plate is circular

area of circle is πr²

where r is radius

r = d/2 = 10/2 = 5 inches

A = πr²

A = 3.14(5)²

A = 3.14 x 25

A = 78.5 square inches

Hence area is 78.5 square inches.

Learn more about area;

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