tan(pi/2)=_
A. -1
B. 0
C. 1
D. Undefined
AP3X

Answer:

a)65.9

b)326.6

c)13.6

d)8.0

Step-by-step explanation:

Answer: 65.87

Step-by-step explanation: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

Answer:

8

Step-by-step explanation:

1 3/5=8/5

45*8/5*1/9=360/5*1/9=72*1/9=72/9=8

Answer:

9x^3 y^5

Step-by-step explanation:

Since the formula to finding area is (L*W = A), we first have to find the width.

Width: 3x^3 y^5 times 2 = 6x^3 y^5

Then we add them. So, 3x^3 y^5 + 6x^3 y^5 = 9x^3 y^5

Answer:

She must take a sample of 56.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation estimate of 1.90

This means that [tex]\sigma = 1.9[/tex]

Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?

This is n for which M = 0.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 1.96*1.9[/tex]

[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]

[tex]n = 55.5[/tex]

Rounding up:

She must take a sample of 56.

Use the following formula:

[tex]A=2\pi rh+2\pi r^{2}[/tex]

Take the value of [tex]\pi[/tex] as 3.14 and add the values in the formula:

[tex]A=2(3.14)(2)(6)+2(3.14)(2)^{2}[/tex]

[tex]A=75.36+25.12[/tex]

[tex]A=100.48[/tex]

I hope this helped :)

the ladder is 10 ft long.

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

sqrt of 100 = sqrt of c^2

10ft = C

Answer:Step-by-step explanation:

would it be (5.6)

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

(2(-5)+13) + (-4+12)

Answer:

y(x) = -1/(x^2 + c_1 x)

Step-by-step explanation:

Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:

Divide both sides by -y(x)^2:

-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x

Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:

( dv(x))/( dx) - v(x)/x = -x

Let μ(x) = e^( integral-1/x dx) = 1/x.

Multiply both sides by μ(x):

(( dv(x))/( dx))/x - v(x)/x^2 = -1

Substitute -1/x^2 = d/( dx)(1/x):

(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1

Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:

d/( dx)(v(x)/x) = -1

Integrate both sides with respect to x:

integral d/( dx)(v(x)/x) dx = integral-1 dx

Evaluate the integrals:

v(x)/x = -x + c_1, where c_1 is an arbitrary constant.

Divide both sides by μ(x) = 1/x:

v(x) = x (-x + c_1)

Solve for y(x):

y(x) = 1/v(x) = -1/(x^2 - c_1 x)

Simplify the arbitrary constants:

Answer: y(x) = -1/(x^2 + c_1 x)

Answer:

6ft

Step-by-step explanation:

first you need to properly provide your work

The surface area is 324

Answer:

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for surface area of a rectangular prism is this :

A = 2(wl + hl + hw)

l = 6, w = 5, h = 12.

Now knowing these values, we can solve for A.

A = 2(wl + hl + hw) = 2(5 · 6 + 12 · 6 + 12 · 5) = 324

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest. Have a great day!

Answer:

answer is option D

Step-by-step explanation:

(-2 , 4) = (x1 , y1)

(6 , -4) = (x2 , y2)

midpoint = (x1 + x2/2 , y1 + y2/2)

=(-2 +6/2 , 4+(-4)/2)

=(4/2 , 0/2)

=(2 , 0)

Answer:

The right solution  is "[tex]9.7\times 10^{-10}[/tex]".

Step-by-step explanation:

According to the question,

The probability that male professional golfer makes hole in one will be:

[tex]P=\frac{1}{2780}[/tex]

Number of players,

n = 36

and,

[tex]q=1-P=\frac{2779}{2780}[/tex]

By using the Binomial theorem, we get

⇒ [tex]P(x=r) = \binom{n}{r} p^r q^{n-r}[/tex]

Bu substituting the values, we get

                   [tex]=\binom{36}{4} (\frac{1}{2780} )^4 (\frac{2779}{2780} )^{32}[/tex]

                   [tex]=9.74929\times 10^{-10}[/tex]

or,

                   [tex]=9.7\times 10^{-10}[/tex]

Answer:

The answer is "0,3,-3".

Step-by-step explanation:

Let the matrix is not invertible.

then |A|=0

[tex]\left|\begin{array}{ccc}0&9&a\\a&1&7\\0&a&1\end{array}\right|=0[/tex]

[tex]-a[9-a^2]=0\\\\a=0\\\\a=\pm 3\\\\a=0, 3,-3\\[/tex]

Answer:

Logic is the study of how to critically think about propositions or statements that are either true or false.

Logic is very useful in the world of mathematics. Mathematicians use logic all the time to prove theorems and other mathematical facts. Everything we know about math right now is based off of these logical proofs. Without these, we wouldn't have our formulas, like the wonderful quadratic formula or the very useful Pythagorean Theorem.

Using logic in math is about mixing the specific language used in logic with the specific symbols used in math.

Step-by-step explanation:

Answer:

B. SAS Theorem

Step-by-step explanation:

SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF

By ''SAS theorem'' triangle ABC is similar to DEF.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the theorem which can be used to verify triangle ABC is similar to DEF.

Now,, By figure,

There are one angle are common.

And, Ratio of two sides are equal.

Hence, By ''SAS theorem'' triangle ABC is similar to DEF.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

16 in.

Step-by-step explanation:

formula to find area of a triangle

A=1/2bh

A=1/2(8)(4)

A=1/2(32)

A=16

hope this helps:)

Answer:

Slope is the change in y over the change in x.  Just subtract and simplify the fraction.

Step-by-step explanation:

(-3 - 4)

______

(-2 - 6)

Answer:

Algorithm 1 uses:

n*log(n) operations.

While algorithm 2 uses:

n^(3/2) operations.

We want to see, as n grows, which algorithm uses fewer operations.

So we would want to first solve:

n*log(n) = n^(3/2)

This will give us the exact value of n such that the number of operations is the same in both algorithms.

dividing both sides by n we get:

log(n) = n^(3/2)/n = n^(3/2 - 1) = n^(1/2)

where we can use:

log(n) = ln(n)/ln(10)

ln(n) = ln(10)*n^(1/2)

This equation actually has no solutions.

This happens because the right side is always larger than the left side.

Then, the same thing happens for our two initial equations:

n^(3/2) is always larger than n*log(n), as you can see in the graph below, where n^(3/2)  is represented with the orange graph:

So we can conclude that the fist algorithm uses less operations as n grows.

Answer:

440cm³

.45

1.49538 ft

43.6

Step-by-step explanation:

1.

Start by finding the area of the base

.5*(a+b)*h

.5*(8+14)*4= 44

Then just multiply this by distance between the ends

44*10=440

2.)

To get from 2.7 to 9 we muiltply by 9/2.7= 3.33333333

which means that

3.333333333x=1.5

x=.45

3.)

Height:shadow

6.5:1.8

5.4:x

To get from 6.5 to 5.4 we multiply it by (5.4/6.5) or .8307

which means to get from 1.8 to x we muiltply 1.8*.8307= 1.49538

4.)

Same kind of deal as the last one

to get from 13 to 27 we mulitply by (27/13) or 2.076923 which means to get from 21 to x we multuply 21*2.076923=43.6

Here is the answer for the volume of the trapezoidal prism.

We make two rectangular prisms out of the shape, or a rectangular prism and two triangles.

For this case, I'll just do the two prisms.

Here is the formula for volume we'll be using.

V = lwh (shape's volume = length × width × height), or

V = bh (shape's volume = base area × height)

A reference of the rectangular prism can be identified because the length of the horizontal crest is marked at 8 centimeters.

Following V = lwh, we already have the length we need.

The width of the reference prism that doesn't include the diagonal triangular prisms is 10 centimeters.

l = 8 cm

w = 10 cm

And as indicated by the line inside,

h = 4 cm

We'll label this first volume calculation V[tex]_{1}[/tex].

V[tex]_{1}[/tex] = 8 cm × 10 cm × 4 cm

Now for the second volume.

Since two congruent right triangular prisms can come together to equal a second rectangular prism whose volume is two times their original shapes, we can use the same formula

V = lwh

And in order to determine what values are needed, we

And that's it. No adjustments are made in the width or height. Those measurements are equal to the reference rectangular prism (center prism).

14 cm - 8 cm = 6 cm

l = 6 cm

w = 10 cm

h = 4 cm

This part of the enumeration will be V[tex]_{2}[/tex].

V[tex]_{2}[/tex] = 6 cm × 10 cm × 4 cm

V[tex]_{1}[/tex] + V[tex]_{2}[/tex] = V[tex]_{t}[/tex], or the actual volume of the trapezoidal prism.

(8 cm × 10 cm × 4 cm) + (6 cm × 10 cm × 4 cm) = 320 cm + 240 cm = 560 cm.

You round to 2 decimal places, so V[tex]_{t}[/tex] = 560.00 cm.

[tex]\frac{2.7}{x} = \frac{9.0}{1.5}[/tex]

Let's look at the right side.

9.0, or 9, divided by 1.5 equals 6.

Now your equation looks like

[tex]\frac{2.7}{x} = 6[/tex]

You want to get the variable x by itself so that there aren't any real number values that stop the proportion from being simplified.

So, we multiply x on both sides.

[tex]\frac{2.7}{x}[/tex] * [tex]x[/tex] = [tex]6[/tex] * [tex]x[/tex]

On the left side of the = sign, the x on the denominator is being cancelled out.

Now it looks like

[tex]2.7 = 6[/tex] * [tex]x[/tex]

Divide 6 from both sides to cancel the 6 from the right side and get the new value of x by itself.

2.7 ÷ 6 = 0.45

0.45 is already in the hundredths, so there's no need to round up or down.

All you have to do here is find the ratios of the two figures to their shadows.

It's going to look like the [tex]2^{nd}[/tex] problem because all we're doing is finding the missing variable.

[tex]\frac{h}{s}[/tex] will represent the height-shadow ratio.

For a 6.5-foot human to cast a 1.8-foot shadow,

[tex]\frac{h}{s}_1 = \frac{6.5}{1.8}[/tex]

6.5 ft ÷ 1.8 ft ≅ 3.611

All we have to do now is find a tree height that divides by its shadow, 5.4, to get roughly 3.611.

We can solve that by multiplying 3.611 with the shadow's height.

3.611 * 5.4 = 19.5

The tree is 19.5 feet tall.

These two triangles aren't congruent, but similar.

Like the last two problems, finding the ratio between the sides is key to solving the problems.

This time, the ratios of the two given sides for each triangle will let us solve the side-side-side (SSS) rule, if we take it a step further and use the Pythagorean Theorem. For now, just solve the target of the problem.

[tex]\frac{27}{13} = \frac{x}{21}[/tex]

27 ÷ 13 = 2.077

[tex]2.077 = \frac{x}{21}[/tex]

[tex]2.077[/tex] * 21 = [tex]\frac{x}{21}[/tex] * 21

Cancel the 21s from the denominator and factor on the right side.

43.617 = x

x = 43.6 because you round to one decimal.

Answer:

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

427 had paid for coaching courses and the remaining 2733 had not.

This means that [tex]n = 427 + 2733 = 3160, \pi = \frac{427}{3160} = 0.1351[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 - 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.1232[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 + 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.147[/tex]

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

Answer:

option Ais false

Step-by-step explanation:

this is because even number can be divisible by 2 and its multiples as well which are larger than 2 as well.

Answer:

It is a function.

Step-by-step explanation:

I would suggest use the website Desmos.

Answer: 18:27 I believe

Step-by-step explanation: There are 18 white socks and 27 black socks therfore the answer is 18:27

Answer:

Perimeter = 1 unit

Step-by-step explanation:

[tex]length \ is \ a \ fraction \ 2 \ over \ 3 = \frac{2}{3}\\\\Width \ is \ a \ fraction \ 1 \ over \ 3 = \frac{1}{3}\\\\Perimeter = 2 ( l + w)\\[/tex]

               [tex]= 2 \times (\frac{2}{3} + \frac{1}{3}) \\\\=2 \times (\frac{3}{3})\\\\= 1 unit[/tex]

Answer:

50 °

Step-by-step explanation:

that is the procedure above

Answer:

Jamie's estimate is correct, since the result is 2.1% less than the estimated number.

Step-by-step explanation:

Given that Jamie says the value of the expression 1.43 x (19/37) is close to 0.75, to determine if Jamie's estimate seems reasonable the following calculation must be performed:

1.43 x (19/37) = X

1.43 x 0.513 = X

0.7343 = X

0.75 = 100

0.7343 = X

0.7343 x 100 / 0.75 = X

97.9 = X

Therefore, Jamie's estimate is correct, since the result is 2.1% less than the estimated number.

Answer:

Total weight = 111.6 lbs

Step-by-step explanation:

Given the following data;

Length = 1 feet

Width = 9.5 feet

Height = 13.5 feet

Mass of contents = 0.87 pounds per cubic foot

To find the weight of the contents in the container;

First of all, we would determine the volume of the rectangular prism;

Volume = length * width * height

Volume = 1 * 9.5 * 13.5

Volume = 128.25 cubic feet

Next, we find the overall weight;

Total weight = volume * mass of contents

Total weight = 128.25 * 0.87

Total weight = 111.6 lbs

Answer:

13 pizzas maybe

Step-by-step explanation:

Answer:

B  y = (-7/4)x - 7

Step-by-step explanation:

Slope intercept form is

y = mx + b

Where m is the slope and b is the y-intercept

m = rise/run

m = ∆y/∆x

m = (y₂ - y₁) / (x₂ - x₁)

m = (-7 - 0) / (0 - -4)

m = -7/4

From the graph the y-intercept

b = -7

-------------------------

y = (-7/4)x - 7