Which statement about the slope of the line is true?The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
The slope from point O to point A is 4 times the slope of the line from point A to point B.
It is 4 throughout the line.
It is fraction 1 over 4 throughout the line.

Answers

Answer 1

Answer: A straight line has the same gradient all along its length. The gradient equals vertical rise over horizontal distance. It does not matter which triangle you use.
For large triangle it equals 2/8 or 1/4 for smaller one. Both equal 1/4 (last statement)

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A coin is biased such that it results in 2 heads out of every 3 coin flips,on average.Which statement is true?A.)The theoretical probability of getting heads from an unbiased coin is about 66%.B.)The sequence HTHTTHTTT is valid for the biased coinC.)The biased coin has about a 33% probability of displaying tails.D.)The sequence HTTHTHTHT is valid for the biased coin.
Solve for x: −3|2x + 6| = −12 A.) x = 1 and x = 5 B.) x = −1 and x = −5 C.) x = −9 and x = 3 D.) No solution
F(x) = x + 4: find f(4) and f(x) = 10
A pair of sneakers is regularly at $ 52. It is on sale for 15% off of the regular price, what is the sale price of the sneakers?
(01.05) Jacob has four cabin bags. He wants to determine which cabin bag is the heaviest. The actual mass of the cabin bags is shown below: Bag A B C D Mass (in kg) 5.65 5.59 5.63 5.60 If the weighing machine measures to the nearest tenth of a kg, which bag will not be the same mass as the others?

1. How can this model be used to determine 2.3−0.26 ?Enter your answers in the boxes (picture included)

The model shows a total of 2 wholes and 3 tenths. After regrouping 1 tenth into 10 hundredths, there are 2 wholes, ____ tenths, and ____ hundredths. After crossing out 2 tenths and 6 hundredths, there are 2 wholes, ____ tenths, and ___ hundredths remaining. Therefore, the difference of 2.3 and 0.26 is ____

2. Yasmine estimated the difference of 87.71 and 5.8 by rounding each number to the nearest whole.

What was Yasmine's estimate, and what is the actual difference of the numbers?

Enter your answers in the boxes.

Yasmine estimated the difference to be ___. The actual difference is __

.

.

Answers

Answer:

1. 2 wholes is (2) tenths and (10) hundredths

2 wholes is (0) tenths and (4) hundredths

difference of 2.3 and .26 is (2.04)

2. Yasmine estimated the difference to be (82). The actual difference is (81.91)

Step-by-step explanation:

If you buy 10 printers for your office and each printer costs $199, what is your cost for all 10?

Answers

$1990 is the total amount. That is not including the tax you pay

Answer:

$1900 for pf students

Step-by-step explanation:

Penn foster ☺️☺️‍

Trig help (Problems already solved)?The calculation for the problems are already done but I have to list a reason or what is being done in each step. "Each = and newline made" means a place I have to write what is being done in the calculation.

1. (secx + sinx)cotx = cscx + cosx
=(secx + sinx)cotx = cscx + cosx
=(1 / sinx) + cosx
=cscx + cosx

2. cosx + tanx sinx = secx
=cosx + tanx sinx = cosx + (sinx / cosx)sinx
=cosx + (sin^2x / cosx) = (1 / cosx)(cos^2x + sin^2x)
=1 / cosx
=secx

3. cscx - cosx cotx = sinx
=cscx - cosx cotx = (1 / sinx) - cosx(cosx / sinx)
=(1 / sinx) - (cos^2x / sinx)
=(1 - cos^2x) / sinx
=sin^2x / sinx = sinx

4. (cosx / (1 + cosx)) + (cosx / (1 - cosx)) = 2cotx cscx
=(cosx / (1 + cosx)) + (cosx / (1 - cosx)) = ((cosx (1 - cosx) + cosx (1 + cosx))) / (1 + cosx)(1 - cosx)
=(cosx - cos^2x + cosx + cos^2x) / (1 - cos^2x)
=2cosx / sin^2x
=2(cosx / sinx)(1 / sinx) = 2cotx cscx

Thank you to whoever decides to help me with explaining what is happening on each line.

Answers

The first identity uses the definition of the reciprocal functions $\sec x,\csc x,\cot x$ and the distributive property of multiplication.

$(\sec x+\sin x)\cot x=\left(\frac1{\cos x}+\sin x\right)(\cos x)/(\sin x)$
$=(\cos x)/(\cos x\sin x)+(\cos x\sin x)/(\sin x)$
$=\frac1{\sin x}+\cos x$
$=\csc x+\cos x$

The second uses the definition of $\tan x$ and the distributive property. Then a factor of $\frac1{\cos x}$ is pulled out, which allows you to use the identity $\sin^2x+\cos^2x=1$ .

$\cos x+\tan x\sin x=\cos x+(\sin x)/(\cos x)\sin x$
$=\cos x+(\sin^2x)/(\cos x)$
$=(\cos^2x)/(\cos x)+(\sin^2x)/(\cos x)$
$=\frac1{\cos x}\left(\cos^2x+\sin^2x\right)$
$=\frac1{\cos x}*1$
$=\frac1{\cos x}$
$=1$

The third uses the same ideas as the second: rewrite the reciprocal functions, then invoke the Pythagorean identity $\sin^2x+\cos^2x=1$ , which is equivalent to $\sin^2x=1-\cos^2x$ .

$\csc x-\cos x\cot x=\frac1{\sin x}-\cos x(\cos x)/(\sin x)$
$=\frac1{\sin x}-(\cos^2x)/(\sin x)$
$=\frac1{\sin x}\left(1-\cos^2x\right)$
$=\frac1{\sin x}\sin^2x$
$=(\sin^2x)/(\sin x)$
$=\sin x$

In the last one, you combine the fractions by enforcing common denominators. This lets you add the numerators together, and the denominator can be simplified. Once you do that, you rewrite the factors of cos and sin in the numerator and denominator to make up the cot and csc functions, and you're done.

$(\cos x)/(1+\cos x)+(\cos x)/(1-\cos x)=(\cos x(1-\cos x))/((1+\cos x)(1-\cos x))+(\cos x(1+\cos x))/((1-\cos x)(1+\cos x))$
$=(\cos x(1-\cos x)+\cos x(1+\cos x))/((1-\cos x)(1+\cos x))$
$=(\cos x(1-\cos x+1+\cos x))/(1-\cos^2x)$
$=(2\cos x)/(\sin^2x)$
$=2(\cos x)/(\sin x)\frac1{\sin x}$
$=2\cot x\csc x$

Express each ratio as a fraction in simplest form. Hint: 1 yard = 3 feet 9 yards to 48 feet

Answers

1 yard = 3 feet
9 yards * 3 = 27 feet
9 yards : 48 feet =
= 27 feet : 48 feet =
= 27 / 48 ( we will divide numerator and denominator by 3 ) =
= 9 / 16

For every 24 minutes of television,there are 6 minutes of commercials.how many minutes of commercials are there in 1 hour and 36 minutes of television

Answers

96 minutes total divided by 24 which is 4 then 4 times 6 is 24 so 24 min of commercials are in 1 hour and 36 min

Answer:

24 minutes.

Step-by-step explanation:

I hour of television plus 36 minutes equals 96 minutes of T.V. (way too much if you ask me XD). Divide the 96 by the previous 24, resulting in 4. 4x6= 24 again, so therefore there are 24 minutes of commercials in I hour, 36 minutes of television.

Triangle ABC is an isosceles right triangle. What is the measure of a base angle?

Answers

Answer:

The measure of base angle is 45°

Step-by-step explanation:

Given that triangle ABC is an isosceles right triangle.

we have to find the measure of base angles.

As given triangle is right angled triangle therefore one angle which is not a base angle is of 90°

Also the triangle ABC is isosceles therefore two sides of triangle are equal and angles opposite to the equal sides are equal.

Let these equal angles which are base angles is x°

By angle sum property of triangle,

the sum of all angles of triangle equals to 180°

∠A+∠B+∠C=180°

$x^(\circ)+90^(\circ)+x^(\circ)=180^(\circ)$

$2x^(\circ)+90^(\circ)=180^(\circ)$

$2x^(\circ)=90^(\circ)$

$x^(\circ)=(90)/(2)=45^(\circ)$

Hence, the measure of base angle is 45°

If Triangle ABC is an isosceles right angle, base angle would be equal to 45 degree. It is because, in an isosceles right triangle, two angle remains equal (45) and one is larger.(90)

In short, Your Answer would be 45

Hope his helps!

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