Using the identity sin²theta + cos²theta = 1, find the value of tan , to the nearest hundredth, if cos theta = 0.57 and 0 < theta <
π/2​

Answer:

50

Step-by-step explanation:

So first just sort the times, and the number of calories:

200 calories -> 1hr

x -> 15 mins

So an hour is 4 times the amount of 15 mins, so all you need to do is divide 200 by 4. The answer is 50

Answer:

7 bookcases

Step-by-step explanation:

Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:

5.25/0.75

= 7

So, the custodian will be able to repaint 7 bookcases

Answer:

Exactly

Step-by-step explanation:

Answer:

C. 7 - 3 = 4

Step-by-step explanation:

Given

[tex]Dataset: 3, 3, 4, 5, 6, 7, 10[/tex]

Required

The IQR

The IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where:

[tex]Q_3 \to[/tex] Median of the upper [tex]half[/tex]

[tex]Q_1 \to[/tex] Median of the lower [tex]half[/tex]

The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.

Split to two, we have:

[tex]Lower \to 3, 3, 4[/tex]

[tex]Median \to 5[/tex]

[tex]Upper \to 6, 7, 10[/tex]

The lower half has 3 data; So, the median is the 2nd position.

Hence:

[tex]Q_1 = 3[/tex]

The upper half has 3 data; So, the median is the 2nd position.

Hence:

[tex]Q_3 = 7[/tex]

So, the IQR is:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 7 - 3[/tex]

[tex]IQR = 4[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]-\frac{\sqrt{21}}{2}[/tex]

Step-by-step explanation:

ASTC (I use a sentence to memorize: All Students Take Calculus):

Q1 - All functions are positive

Q2 - Sine is positive (Cosecant is positive as well) (all others negative)

Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)

Q4 - Cosine is positive (Secant is positive as well) (all others negative)

Applying ASTC:

Secant is negative, so it can't be in quadrant 1, and quadrant 4.

Quadrant 2 - Sine and Quadrant 3 - Tangent are left.

Cosecant is positive so it can't be in quadrant 3.

Therefore, angle x is in Quadrant 2 or QII

Secant is hypotenuse / adjacent

5 = hypotenuse (hypotenuse is never a negative number)

-2 = adjacent

use pythagorean theorem to solve for opposite (bc tan = opp / adj)

[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]

tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]

Answer:

a) p(H) = 0.15

,   p(M) = 0.55

,   p(C) = 0.30,

p(S | H) i.e. sunny and hot  = 0.67

P(c | H) i.e. cloudy and hot  = 1 - 0.67 = 0.33

P( S | M) i.e. sunny and mild = 0.36

P(c | M) i.e. cloudy and mild  = 1 - 0.36 = 0.64

P( S | C )i.e. sunny and cold  = 0.33

P( c | C)   = 1 - 0.33 = 0.67

b) ≈ 0.40

c) P ( H | S )  = 0.2513

  P( M | S )   = 0.495

  P(C | S) = 0.2475

d) P( H I c ) = 0.0825

Probability of mild and cloudy= 0.587

Probability of cold and cloudy  = 0.335

e)  No

Step-by-step explanation:

a) List All probabilities given in this problem

lets represent each condition with the first letter

Temperature : Hot ( H ) , mild ( M ) , cold ( C )

weather : Sunny ( S ) and cloudy ( c )

hence the probabilities are ;

p(H) = 0.15,   p(M) = 0.55,   p(C) = 0.30,

p(S | H) i.e. sunny and hot  = 0.67

P(c | H) i.e. cloudy and hot  = 1 - 0.67 = 0.33

P( S | M) i.e. sunny and mild = 0.36

P(c | M) i.e. cloudy and mild  = 1 - 0.36 = 0.64

P( S | C )i.e. sunny and cold  = 0.33

P( c | C) i.e. cloudy and cold  = 1 - 0.33 = 0.67

b) probability of a sunny day

P ( s ) =  P( H ) * P( S | H ) +  P( M ) * P( S | M ) + P(C) * P( S | C)

          = (0.15 * 0.67) + ( 0.55 * 0.36 ) + ( 0.30 * 0.33 )

           = 0.3975 ≈ 0.40

c) Given the weather is sunny ( application of Bayes theorem = P(A and B) / P(B) )

P ( H | S ) = ( 0.15* 0.67 ) / 0.4  

               = 0.2513

P( M | S ) = 0.55 * 0.36 / 0.3975  

               = 0.198 / 0.4

               = 0.495

P(C | S) = 0.3 * 0.33 / 0.4

            = 0.099  = 0.2475

D) Given that the weather is cloudy

P( c ) = 1 - 0.4    = 0.6

P( H I c ) = ( 0.15*0.33) / 0.6

= 0.0825

Probability of mild and cloudy = (0.55*0.64) / 0.6  = 0.587

Probability of cold and cloudy  = ( 0.30 * 0.67) / 0.6  = 0.335

e) The cloudy weather ( c ) is not Independent of the hot weather

because condition for independency ( P(c) x P( H )  = P( c and H) ) is not fulfilled.

Answer:

c: 75 minutes

Step-by-step explanation:

50/4 = 12.5

6 x 12.5 = 75

Answer:

If it's area, then:

area = 148.2 yd²

Step-by-step explanation:

area = 19 x 7.8 = 148.2 yd²

Answer:

Hello! answer: x = 94

Step-by-step explanation:

Triangles add up to 180 degrees so we just add up the two measures we do have so 48 + 38 = 86

Now we subtract that from 180 to find x so

180 - 86 = 94 So 94 is x Hope that helps!

Answer:

weak, negative association

Step-by-step explanation:

If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.

Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.

Answer:

the last one option 4

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

Answer:

(22d-22) cm

Step-by-step explanation:

perimeter= 2×(4d-8+7d-3)

= 2× (11d-11)

(22d - 22) cm

Answer:

(22d-22)cm

Step-by-step explanation:

Perimeter = 2 x (width + Length)

= 2 x [(4d – 8) + (7d – 3)]

= 2 x (11d-11)

= (22d-22)cm

Answer:

Weak positive

Step-by-step explanation:

From. Visual inspection of the scatter plot, the line of best fit will have a positive slope has values of x tends to increase with a corresponding increase in the value of y.

However, the points are scattered across the plotting area meaning that most of the points will be a bit farther away from the regression line. This means a weak correlation between the x and y variables will be obtained. Since the slope is positive, theb the relationship between the variables based on the scatterplot interpretation is a weak positive correlation.

3.4 x 7 = 23.8 ounces

3.3 x 7 = 23.1 ounces

3.2 x 7 = 22.4 ounces

3.1 x 7 = 21.7 ounces

3 x 7 = 21 ounces

and so on, use a calculator and go until hit 0.1 btw all these answers r written in bold. :)

Answer:

Not gonna do the whole thing for you for 5 points

Step-by-step explanation:

The formula for Circumference is C = 2πr or C = dπ

r (radius) is the length of halfway across the circle

d (diameter) is the length across the whole circle (also it's equal to 2r)

You can solve it with that info

Don't forget to round if you need to

Answer:

h

Step-by-step explanation:

H

Answer:

B. (50.27)

Step-by-step explanation:  a = (pi)r^2

8/2 = 4

4^2 = 16

16(pi) = 50.27

You're welcome :)

Answer:

=50.285714

Step-by-step explanation:

Area of a circle is equal to πr^2

diameter = 8 so radius = 4

22/7x4x4

22/7x16

=352/7

=50.285714

Answer:

C dot plot shows a sample that is most representative of the number of pets in a household.

Answer:

35/72 [tex]m^2[/tex]

Step-by-step explanation:

Rectangle Formula: [tex]l*w=Area[/tex]

Switch the variables with the numbers given:

[tex]\frac{5}{9} *\frac{7}{8} =Area[/tex]

Multiply the top and bottom:

5*7 = 35

9*8 = 72

35/72 = Area

Answer:

a= 79°

b= 101°

Step-by-step explanation:

thats the rule of a parallelogram

Answer:

7x + y =36

Step-by-step explanation:

( y- y1) = m(x - x1)

y - 8 = -7( x - 4)

y- 8 =-7x +28

y = -7x +36

7x + y =36

Answer:

a

Step-by-step explanation:

the answer is asset because asset is the best option to be choosed