1. Decide whether the statement below is true or false. Then fully explain why. The triangle below can b used to help with your explanation if needed.

"The sine of any acute angle is equal to the cosine of its complementary angle."[help me plzz!!]​

Answer:

B. π = 8C/5

Step-by-step explanation:

Given the following data;

Diameter = ⅝

To find the ratio;

Mathematically, the circumference of a circle is given by the formula;

C = πD

Where;

C is the circumference of a circle.

D is the diameter of a circle.

Substituting the value of D, we have;

C = π * ⅝

Cross-multiplying, we have;

8C = 5π

π = 8C/5

Answer:

$5850 is the answer

Step-by-step explanation:

P = $3000

R = 9.5%

T = 10 year

A = ?

So,

I = PTR/100

=(3000×9.5×10)/100

=285000/100

= $2850

So,

I = A-P

I+P = A

$2850 + $3000 = A

so, A = $5850

Answer:

The answer is 4.

Step-by-step explanation:

Edge 2021

Answer:

4

Step-by-step explanation:

EDGE2021

Answers:

=============================================

Explanation:

The formula we use for "or" cases is

P(A or B) = P(A) + P(B) - P(A and B)

If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.

-----------

For "and" cases, we have two basic flavors

P(A and B) = P(A)*P(B | A)

P(A and B) = P(B)*P(A | B)

We go with the first case for problem 2. These formulas apply if A and B are not independent.

If they are independent, then

P(A and B) = P(A)*P(B)

-----------

Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).

You'll end up with

P(A | B) = P(A and B)/P(B)

which is a conditional probability.

Answer:

its x^4

Step-by-step explanation:

its x^4

Answer:

9.68*10^-10

Step-by-step explanation:

The problem above can be solved using the binomial probability relation :

Where ;

P(x = x) = nCx * p^x * q^(n-x)

n = number of trials = 25

p = 1/4 = 0.25

q = 1 - p = 0.75

x = 20

P(x > 20) = p(x = 21) + p(x = 22) +.. + p(x = 25)

Using the binomial probability calculator to save computation time :

P(x > 20) = 9.68*10^-10

Answer:

135 cm

Step-by-step explanation:

Let Jose's height = x

The mean of their heights = 150

Given the Heights:

150cm, 170cm, 140cm, 155cm

The mean is the sum if the heights divided by the number of people

Here :

(150 + 170 + 140 + 155 + x) / 5 = 150

(615 + x) / 5 = 150

615 + x = 750

x = 750 - 615

x = 135 cm

Answer:

[tex]3\sqrt{5}i[/tex]

Step-by-step explanation:

[tex]\sqrt{-45}[/tex]

[tex]\sqrt{-9*5}[/tex]

[tex]\sqrt{-9}\sqrt{5}[/tex]

[tex]3i\sqrt{5}[/tex]

[tex]3\sqrt{5}i[/tex]

Answer:

F

E or C (depending on the actual angles - see below in the details)

Step-by-step explanation:

two triangles are congruent, when after some rotation or mirroring they can cover each other exactly.

that means they must both have the same angles and side lengths.

these are the possible conditions to determine that 2 triangles are congruent (without knowing ALL of the sides and angles) :

SSS (Side-Side-Side) - all 3 sides of triangle 1 are exactly of the same length as the 3 sides of triangle 2.

SAS (Side-Angle-Side) - 2 sides and one angle are the same

ASA (Angle-Side-Angle) - 2 angles and the side between these 2 angles are the same

AAS (Angle-Angle-Side) - 2 angles and any not-included side are the same

RHS (Right angle-Hypotenuse-Side) - both triangles are right-angled (one angle is 90 degrees), and the Hypotenuse (the side opposite to the 90 degree angle) and another side are the same.

so, now look at a).

we only know the angles. but we could use a zoom lens of a camera and make them bigger and smaller, while their angles remain actually the same.

therefore, we cannot say, if they are actually congruent (only if their side lengths are the same too).

but we can say that they could be congruent.

and therefore also none of the congruent conditions apply, because for all of them we always need at least one side length. and we don't have that.

now looking at b)

I am not sure I can read one of the given angles correctly.

case one: I read the angles in triangle 2 as 66 and 58 degrees. that would make the third angle

180 - 66 - 58 = 56

but triangle 1 has the angles of 68, 54 and

180 - 68 - 54 = 58

=> the three angles are not the same, so the triangles are definitely not congruent

case two: I could read the angles in triangle 2 also as 68 and 58. that would make the third angle

180 - 68 - 58 = 54

and the side connecting the 68 and 58 angles has the same length, so the ASA criteria are fulfilled, and the triangles are congruent. C

Answer:

Step-by-step explanation:

Given that:

[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right][/tex]

For a steady-state of a given matrix [tex]\bar X[/tex]

[tex]\bar X = \left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]

As a result P[tex]\bar X[/tex] = [tex]\bar X[/tex] and a+b+c must be equal to 1

So, if P[tex]\bar X[/tex] = [tex]\bar X[/tex]

Then;

[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right]\left[\begin{array}{c}a\\b\\c\end{array}\right] =\left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]

[tex]\implies \left\begin{array}{ccc}0.22a+&0.20b+&0.65c\\0.62a+&0.60b+&0.15c\\0.16a+&0.20b+&0.20c\end{array} \right = \left \begin{array}{c}a ---(1)\\b---(2)\\c---(3)\end{array}\right[/tex]

Equating both equation (1) and (3)

(0.22a+ 0.2b + 0.65c) - (0.16a + 0.2b + 0.2c) = a - c

0.06a + 0.45c = a - c

collect like terms

0.06a - a = -c - 0.45c

-0.94 a = -1.45 c

0.94 a = 1.45 c

[tex]c =\dfrac{ 0.94}{1.45}a[/tex]

[tex]c =\dfrac{ 94}{145}a --- (4)[/tex]

Using equation (2)

0.62a + 0.60b + 0.15c = b

where;

c = 94/145 a

[tex]0.62a + 0.60b + 0.15(\dfrac{94}{145}) a= b[/tex]

[tex]0.62a + 0.15(\dfrac{94}{145}) a= -0.60b+b[/tex]

[tex]0.62a + (\dfrac{141}{1450}) a= 0.40b[/tex]

[tex](0.62+\dfrac{141}{1450}) a= 0.40b[/tex]

[tex](\dfrac{62}{100}+\dfrac{141}{1450}) a= 0.40b[/tex]

[tex](\dfrac{1043}{1450})a= 0.40b[/tex]

[tex](\dfrac{1043}{1450})a= \dfrac{4}{10} b[/tex]

[tex](\dfrac{1043 \times 10}{1450 \times 4})a = \dfrac{4}{10} \times \dfrac{10}{4}[/tex]

[tex]b = (\dfrac{1043}{580}) a --- (5)[/tex]

From a + b + c = 1

[tex]a + \dfrac{1043}{580}a + \dfrac{94}{145} a = 1[/tex]

[tex]a + \dfrac{1043}{580}a + \dfrac{94*4}{145*4} a = 1[/tex]

[tex]a + \dfrac{1043}{580}a + \dfrac{376}{580} a = 1[/tex]

[tex]\dfrac{580+ 1043+376 }{580} a= 1[/tex]

[tex]\dfrac{1999}{580} a= 1[/tex]

[tex]a = \dfrac{580}{1999}[/tex]

∴

[tex]b = \dfrac{1043}{580} \times \dfrac{580}{1999}[/tex]

[tex]b = \dfrac{1043}{1999}[/tex]

[tex]c = \dfrac{94}{145} \times \dfrac{580}{1999}[/tex]

[tex]c= \dfrac{376}{1999}[/tex]

∴

The steady matrix of [tex]\bar X[/tex] is:

[tex]\bar X = \left[\begin{array}{c}\dfrac{580}{1999} \\ \\ \dfrac{1043}{1999}\\ \\ \dfrac{376}{1999}\end{array}\right][/tex]

9514 1404 393

Answer:

  {-12, -8, 0, 8}

Step-by-step explanation:

The range is the set of y-values that correspond to the given set of x-values. I like to figure them "all at once", since the math is repetitive.

  f(x) = -2x +6

  f({-1, 3, 7, 9}) = -2{-1, 3, 7, 9} +6 = {2, -6, -14, -18} +6

  f({-1, 3, 7, 9}) = {8, 0, -8, -12}

The range for the given domain is {-12, -8, 0, 8}.

Answer:

220 yards in one minute

Step-by-step explanation:

15 miles in 120 minutes equals 26,400 (15 · 1760) yards in 120 minutes

26,400 yards in 120 minutes equals 220 yards in 1 minute (after dividing both 26400 and 120 by 120)

Answer:

220

Step-by-step explanation:

The first guy explained it, look above. I was about to say something similair

Answer:

the volume of the solid is 1024/3 cubic unit

Step-by-step explanation:

Given the data in the question,

radius of the circular disk = 4

Now if the center is at ( 0,0 ), the equation of the circle will be;

x² + y² = 4²

x² + y² = 16

we solve for y

y² = 16 - x²

y = ±√( 16 - x² )

{ positive is for the top while the negative is for the bottom position }

A = b²

b = 2√( 16 - x² )           { parallel cross section }

A = [2√( 16 - x² )]²

A = 4( 16 - x² )

Now,

VOLUME = [tex]\int\limits^r -rA dx[/tex]

= [tex]\int\limits^4_4 {-4(16-x^2)} \, dx[/tex]

= 4[ 16x - (x³)/3 ]           { from -4 to 4 }

= 4[ ( 64 - 64/3 ) - (-64 = 64/3 0 ]

= 4[ 64 - 64/3 + 64 - 64/3 ]

= 4[ (192 - 64 + 192 - 64 ) / 3 ]

= 4[ 256 / 3 ]

= 1024/3 cubic unit

Therefore,  the volume of the solid is 1024/3 cubic unit

Answer:

[tex]sin \theta = \frac{3}{5}[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{12}{15}\\\\cos^2 \theta = 1 - sin^2 \theta\\\\sin^2\theta = 1 - cos^2 \theta\\\\[/tex]

       [tex]= 1 - (\frac{12}{15})^2\\\\= 1 - \frac{144}{225}\\\\= \frac{225 - 144}{225}\\\\=\frac{81}{225}[/tex]

[tex]sin \theta = \sqrt{\frac{81}{225}} = \frac{9}{15} = \frac{3}{5}[/tex]

Answer:9/15

Step-by-step explanation:

Answer:

The height of the antenna is 7.0 m

Step-by-step explanation:

Let the height of the antenna be represented by x, and the distance from Avani's eyes to the top of the building A by y. And let z = x + y, so that:

Tan 42 = [tex]\frac{y}{21}[/tex]

y = Tan 42 x 21

  = 0.9004 x 21

  = 18.9084

y = 18.91 m

Also,

Tan 51 = [tex]\frac{z}{21}[/tex]

z = Tan 51 x 21

  = 1.2349 x 21

  = 25.9329

z = 25.93 m

Therefore,

x = z - y

  = 25.93 - 18.91

  = 7.02

x = 7.02 m

The height of the antenna is 7.0 m

A. (0.6, -2.8)

Hope this helps! :)

Answer:

Step-by-step explanation:

V = L * W * H

L = 4

W = 3

H = 2

V = 4 * 3 * 2

V = 24

Density = mass / Volume

density = 11.34

volume = 24

mass = ?

11.34 = mass / 24                   Multiply both sides by 24

11.34 * 24 = 24 * mass /24

mass = 272.16 grams

Answer:

true

Step-by-step explanation:

[tex]\longrightarrow{\blue{B.\:94\:cm²}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 \: (3 \: cm \times 4 \: cm) + 2 \: (3 \: cm \times 5 \: cm) + 2 \: (4 \: cm \times 5 \: cm) \\ \\ = 2 \: (12 \: {cm}^{2} ) + 2 \: ( 15 \: {cm}^{2} ) + 2 \: (20 \: {cm}^{2} ) \\ \\ = 24 \: {cm}^{2} + 30 \: {cm}^{2} + 4 0\: {cm}^{2} \\ \\ = 94 \: {cm}^{2} [/tex]

[tex]\purple{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

The correct answer is -

1. B. stratified sampling

2. C. Systematic Sampling

3. A. Cluster Sampling

4. E. Simple Random Sampling

5. D. Convenience Sampling

Explanation:

Stratified sampling is a method in which samples have collected from a population that can be partitioned into subpopulations, categories or strata.

Systematic sampling is the method in which samples are at low risk of manipulation due to the getting samples ordered sampling range or frame.

Cluster sampling is the sampling that has random clusters of samples and data collected from selected clusters.

In a simple random sampling method, there are equal chances to get selected from a population in the sampling method.

Convenience Sampling is the sampling there is a selection of the data as these samples are convenient to collected and selected.

Answer:

4 weeks = 105

16 weeks = 42

24 weeks = 0

Step-by-step explanation:

the function is missing the 'w'

it should be : C(w) = 126 - 5.25w

'w' is the number of weeks

Substitute number of weeks in the 'w' spot

first one is 4 weeks, so

C(w) = 126 - 5.25(4)

= 126 - 21

= 105

Answer:

using the formula is 87°F but without it is near 140°F

Answer:

Three of your next six donuts sold will be cake donuts.

Step-by-step explanation:

14:7 simplified to a unit ratio is 2:1. Using this information, we know that 6:3 is the ratio for the next 6 donuts.

Answer:

[tex]y=4x-16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=4x-6[/tex]

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into [tex]y=mx+b[/tex]:

[tex]y=4x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=4x+b[/tex]

Plug in the given point (6,8) and solve for b

[tex]8=4(6)+b\\8=24+b[/tex]

Subtract 24 from both sides to isolate b

[tex]8-24=24+b-24\\-16=b[/tex]

Therefore, the y-intercept of the line is -16. Plug this back into [tex]y=4x+b[/tex]:

[tex]y=4x-16[/tex]

I hope this helps!

Answer:

y=4x−16

Step-by-step explanation:

Because we want a parallel line to the given one, we know it needs to have the same slope. Therefore, the new line must be y=4x+b for some b. Knowing that the line goes through the point (6,8), we can plug this in and solve for b:

y=4x+b

8=4(6)=b

b=-16

So the equation of the line is y=4x−16.

Answer:

Cost of one doughnut = $1.25

Step-by-step explanation:

Doughnut           Cost

  3                       3.75

   1                         x

[tex]\frac{3}{1} = \frac{3.75}{x}\\\\3 \times x = 3.75 \times 1\\\\x = \frac{3.75}{3} = \$ 1.25[/tex]

Answer:

$1.25

Step-by-step explanation:

We need to find the cost of one doughnut.

the total price is $3.75

3.75/3 = 1.25

each doughnut costs $1.25