Please help. Find the exact value by using a half-angle identity.


tan(7pi/8)



1 [square root 2]

1 - [square root 2]

-1 + [square root 2]

-1 - [square root 2]

Answer:

Missing statements:

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

Answer:

c=3

Step-by-step explanation:

Answer:

114%

Step-by-step explanation:

okay, so we know he spent 22 minutes on math and 25.08 on spelling.

m=22

s=25.08

so to find a percent, you have to divide s/m

s/m= 25.08/22

s/m= 1.14

because this is a decimal, we have to convert it to a percent

114%

to check the answer, multiply 22 times 114%

the answer is 25.08, so we know we got the right answer.

Answer:

The length of the water slide itself is 17 meters

Step-by-step explanation:

Here, we want to calculate the length of the water slide

from the description given in the question;

we have a right angled triangle where the height of the tower, the distance from the base of the tower and the length of the slide itself represents the sides of the triangle

From the description given in the question, the water slide length represents the slope of the right triangle formed

thus, mathematically by using Pythagoras’ theorem;

The square of the hypotenuse equals the sum of the squares of the two other sides

Let us call the length of the water slide y

y^2 = 8^2 + 15^2

y^2 = 64 + 225

y^2 = 289

y = √289

y = 17 meters

Answer:

x = 12 and y = 16

Step-by-step explanation:

Given the following lengths;

NO = x + 2y,

MO = 3x,

PQ = 6x + 4, and

OQ = 2y + 4.

The following postulates are true;

MN = PQ

Since MO + ON = MN

MN = 3x + x+2y

MN = 4x + 2y

Recall that PQ = 6x+4

Equating both expressions;

4x + 2y=  6x+4

Collect like terms;

4x-6x + 2y = 4

-2x + 2y = 4

x - y = -4 ...... 1

Also MO = OQ

3x =  2y + 4

3x-2y= 4 ....2

from 1; x = -4 + y

Substitute into 2:

3x-2y= 4

3(-4+y)-2y = 4

-12+3y-2y = 4

-12+y = 4

y = 4 + 12

y = 16

Since x = -4+y

x = -4 + 16

x = 12

Hence x = 12 and y = 16

Answer:

D

Step-by-step explanation:

Answer:

y=3x+10

Step-by-step explanation:

We can use standard form to write the equation of this line.

y=mx+b

where m=the slope (or gradient) of the line

and where b= the y-intercept

now to solve...

we know the slope (gradient) or m=3

so we can put this in the equation.

y=3x+b

now we must solve for b.

in order to this we can subsitute the coordinate (-2,4) into x and y since

a coordinates values/variable representation is (x,y) -> (-2,4)

So subsituting the coordinate in...

y=3x+b

4=3(-2)+b

simplify.

4=-6+b

b=10

This means the y-intercept=10

so...

y=3x+10

is the equation of the line.

Answer:

36 correct answers

Step-by-step explanation:

Given that,

The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9.

Josie missed 8 questions

Let incorrect answers be 2x and that of correct answers be 9x.

ATQ,

2x = 8

x = 4

Correct answers = 9x

= 9(4)

= 36

Hence, she will get 36 correct answers.

Answer:40

Step-by-step explanation:

Smaller than 60 and 80.

Answer:

B

Step-by-step explanation:

Because I did this test before and I got this right :)

Answer:

b

Step-by-step explanation:

2x+3y=5        rearrange   2x=5-3y  times all by 2    4x=10-6y

4x-3y=1                              4x=1+3y

1+3y=10-6y           6y+3y=10-1        9y=9     y=1

4x-3(1)=1      4x=1+3   4x=4          x=1

Answer:

B

Step-by-step explanation:

2x+3y=5

(2×1)+(3×1)==5

2+3=5

(4×1)-(3×1)=1

4-3=1

Answer:

dilated coordinates are A(-18,-3) and B(-6,-12)

Step-by-step explanation:

distance of new segment is 15 units

distance formula = [tex]\sqrt){y-y_{1})^{2} +( x - x_{1})^{2} }[/tex]

Answer:

Incorrect Answer Below

Step-by-step explanation:

Problem: We have a total of 28 candies that need to be divided evenly between 4 students.

(Incorrect) Solution: In order to solve this problem we can seperate the total number of candies into single digits and then divide each digit by 4 like so...

2 / 4 = 0.5

8 / 4 = 2

Now that we have the answer of both of these divisions we can simply add these values together to get the number of candies each student will get

0.5 + 2 = 2.5 candies

Answer:

○ D) A and C

Step-by-step explanation:

[tex]\displaystyle \frac{n!}{r![-r + n]!} = {}_nC_r[/tex]

All you need to do is plug each choice into the formula:

[tex]\displaystyle \frac{10!}{2![-2 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[-2 + 10]!} \longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[(2)(3)(4)(5)(6)(7)(8)]} \\ \\ \boxed{45} = \frac{90}{2}[/tex]

OR

[tex]\displaystyle \frac{10!}{8![-8 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{[(2)(3)(4)(5)(6)(7)(8)][-8 + 10]!} \\ \\ \boxed{45} = \frac{90}{2}[/tex]

So, from what you see, both values of [tex]\displaystyle r[/tex] work. In fact, when using the formula pertaining to combinations, you will see that each result has a “repetitive pattern”. This is something you must look out for when using this formula.

I am joyous to assist you at any time.

Answer:

Yessenia is correct.

Step-by-step explanation:

Supose Yessenia thinks the quotient is 7.516, then Yessenia is correct.

The reason why Yessenia is correct is that, if we interpret the question mathematically, we have:

[tex]= \dfrac{751.6}{10^2}[/tex]

[tex]= \dfrac{751.6}{100}[/tex]

From above the decimal point will shift to the left twice since we are dividing 751.6 by 100, which is:

= 7.516 and not 0.7516

Step-by-step explanation:

When x = 4 and y = -1,

(-1) + 1 = 3(4 - 4) = 0.

Hence (4, -1) is an ordered pair.

When x = 5 and y = 2,

(2) + 1 = 3(5 - 4) = 3.

Hence (5, 2) is an ordered pair.

Therefore the answer is C.

Step-by-step explanation:

2b+5b=7b

35=7b

35/7=5

b=5

Answer:

b=5

Step-by-step explanation:

2b+5b=35

7b=35

b=35/7

b=5

[tex]\huge {\colorbox {black}{\color{magenta}{✿Aиѕωє༉}}} [/tex]

[tex]\huge\sf\underline{\underline{\red{❥︎ Thanks}}}[/tex]

Which quadrilaterals always have congruent diagonals?

[tex]\hookrightarrow[/tex] [tex]\bold{rectangle }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ square }[/tex]

Answer:

11 1/4 miles per hour

Step-by-step explanation:

Put the mixed number in improper form to make it easier. You get 15/4 miles in 1/3 hours. You want the miles for 1 hour. So you multiply 15/4 miles by 3 to get 45/4 miles, or 11 1/4 miles per hour

Answer:

20% increase

Step-by-step explanation:

We want to compute the percentage increase

Percent increase in price is expressed as

=(Change in price)/old price *100

=356.4-297/297*100

=59.4/297*100

=0.2*100

=20%

Answer: sry dunno

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

the slop is 2 hense 2x, and the y intercept is 4

Answer

x, y

0, -4

1, -1

2, 2

3, 5

please click heart to give thanks :)

Answer:

Answer

x, y

0, -4

1, -1

2, 2

3, 5

Step-by-step explanation:

there's the math

Answer:

yes this is

Step-by-step explanation:

Answer:

Line MN was translated down  

✔ 4

units and right  

✔ 8

units to create line M'N'.

 The slope of Line M N  

✔ −2

. The slope of Line M prime N prime  

✔ −2

.

Step-by-step explanation:

On edge 2021 Hope this helps :)

Answer: is in picture

Step-by-step explanation:

Answer:

-1/4

1

-1/4

1

Step-by-step explanation:

Slope is obtained thus :

(y2 - y1) / (x2 - x1)

Slope ST :

S(1, 4) ; T(5, 3) ;

x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3

Slope ST = (3 - 4) / (5 - 1) = - 1 / 4

Slope TU :

T(5, 3) ; U(3, 1)

x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1

Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1

Slope UV :

U(3, 1) ; V(-1, 2)

x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2

Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4

Slope SV:

S(1, 4) ; V(-1, 2)

x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2

Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1

9514 1404 393

Answer:

   50 problems

Step-by-step explanation:

The percentage wrong was  100% -72% = 28%. Then the number n of problems on the test was ...

  14 = 0.28·n

  n = 14/0.28 = 50

There were 50 problems on the test.