Find the value of each trigonometric ratio

Answer:

[tex]A=150\ cm^2[/tex]

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

Base = 15 cm

Height = 20 cm

We need to find the area of the triangle. The area of a right-angled triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]

So, the area of the triangle is equal to [tex]150\ cm^2[/tex].

Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Answer:

it is B

Step-by-step explanation:

hope it helps :) have a nice day!

Step-by-step explanation:

f(x)=(2×2)-3x+20

0=4-3x+20

0=-3x+24

3x=24

×=24÷3

x=8

Answer:

300/60=5 Hours

Hope it helps

Answer:

5hours

Step-by-step explanation:

................

300÷60

Answer:

Its A

Step-by-step explanation:

ez

Answer:

A

Step-by-step explanation:

y= -3x + 7

Answer: all

Step-by-step explanation:

Answer: You randomly choose two socks from a drawer, hoping they will match.

You draw two numbers from 1 to 10 from a hat without replacing them first.

Step-by-step explanation:

dependent events: compound events in which one event affects the likelihood of the other event

independent events:compound events in which one event does not affect the likelihood of the other event

Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

Hope It Helps :)

Number one is straight angle

number two is obtuse

number three is acute

Number 4 is acute

number 5 is a right angle

number 6 is obtuse

number 7 is right angle

number 8 is obtuse

Answer:

Listen to music or watch a video about what your about to study. Or do what I do... eat while studying

Step-by-step explanation:

Answer:

m and p

p and q

Step-by-step explanation:

both m and q are 71° so what plus 71 = 90; 19. therefore, m and p are complementary as well p and q.

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

Total number of children are 116 and adults are 160.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number of children entered in park = x

And the number of adults entered in park = y

Fee for children = $20

Fee for adults = $35

According to given condition,

Total number of people = 276

⇒x+y = 276     (1)

Total fees collected = $7620

⇒20x+35y = 7620      (2)

By solving equation (1) and (2),

The value of x is 116

And value of y is 160

Total number of children are 116 and adults are 160.

To know more about Equation on:

https://brainly.com/question/187506

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Answer:

Solve for y.

y= −5+2x

Rewrite in slope-intercept form.

y=2x−5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 2

y-intercept: (0,−5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

x y

0 −5

5/2 0

Graph the line using the slope and the y-intercept, or the points.

Slope: 2

y-intercept: (0,−5)

x y

0 −5

5/2 0

Step-by-step explanation:

Hope it is helpful....

Answer:

Answer true or false and see what happens

Step-by-step explanation:

Answer:

The correct option is (c).

Step-by-step explanation:

The given number is -0.904.

We need to represent the number in scientific notation.

Any number can be written in scientific notation as follows :

[tex]a\times 10^b[/tex]

Where

a is a real number and b is an integer

We can write it as follows :

[tex]-0.904=-9.04\times 10^{-1}[/tex]

Hence, the correct option is (c).

Answer:

B

Step-by-step explanation:

Answer:11,15

Step-by-step explanation:

x axis is 11

y axis is 15

y axis stands talll

x axis lays down

Answer:

Monday hours        +    Thursday hours         =      Total hours

            1 1/2                 +        2 3/4                   =       3 +    (? how do you add 1/2+3/4)

 Now, you could convert to all improper fractions:

               3/2                 +        11/4

               6/4                 +         11/4               [4 is the Least Common Multiple of 2 and 4]

                           17/4

                           4 1/4                                   [then back to mixed numbers]

 Or. you could add 1+2=3

     and    1/2  +  3/4

              2/4   +  3/4

                    5/4

                 1 1/4        [convert to mixed number]

         3 + 1 1/4  = 4 1/4        [remember to add the 3]

Step-by-step explanation:

Answer:

Missing dimension is 6

Step-by-step explanation:

2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6

Answer:

4.8cm

Step-by-step explanation:

a²+b²=c² where c is the hypotenuse so

Let's plug in those values

11²+b²=12²

b²=12²-11²

b²=23

b=4.8

Answer:

$9.90

Step-by-step explanation:

$2.97 divided by 3 equal 0.99 cents

0.99 multiplied by 10 equal 9.90

Answer:

D

Step-by-step explanation:

You can see that the hanger is perfectly balanced

So that means that:

5 ones = 2 x's

So:

1+1+1+1+1=x+x

simplified

2x=5

D

Answer:

36

Step-by-step explanation:

you have to multiple and find the other area

Answer:

y = 3

Step-by-step explanation:

2x+6y=5x+4y   if x=2

2(2)+6y=5(2)+4y

4+6y=10+4y

-4     =-4

6y=6+4y

-4y=   -4y

2y=6

/2=/2

y=3

Answer:

q = 27

Step-by-step explanation:

Answer: 27

Step-by-step explanation: 16+11=27