Find the area of the figure shown. Please help!!!

Answer:

The Pythagorean Theorem leads to a simple proof of the Pythagorean Identity using only the basic definitions of trig functions. The Pythagorean Theorem on a right triangle with legs a,b and hypotenuse c gives us: a2+b2=c2. Dividing through by c2 gives: (ac)2+(bc)2=1.

Answer:

Pretty sure your teacher means sin²x+cos²x=1

Step-by-step explanation:

There's the Pythagorean identity sin²x+cos²x=1 if that's what you mean

Answer:

D

Step-by-step explanation:

QG=GS

x+5=2x-2

x=7

QG=7+5=12

Answer:

2.30

Step-by-step explanation:

sin=opposite/hypotenuse

sin50=BC/3

BC=3sin50

BC=2.298≈2.30

Answer:

470 [tex]cm^{3}[/tex]

Step-by-step explanation:

8x9x10 = 720

5x5x10 = 250

720-420 = 470

Answer:

C.

4x – y = 7

Step-by-step explanation:

Write in standard form.

4

x

−

y

=

7

y

=

4

x

−

7

The standard form of a linear equation is  

A

x

+

B

y

=

C

.

Rewrite the equation with the sides flipped.

4

x

−

7

=

y

Move all terms containing variables to the left side of the equation.

Tap for more steps...

4

x

−

y

−

7

=

0

Add  

7

to both sides of the equation.

4

x

−

y

=

7

variable

A letter used to represent a number value in an expression or an equation.

equation

A mathematical statement that says two expressions have the same value; any number sentence with an  

=

.

Answer:

-42

Step-by-step explanation:

Following Order of Operations, we have to multiply before subtracting, so

[tex]2-2*22[/tex]

[tex]=2-44[/tex]

[tex]=-42[/tex]

Using order of operations, we get -42.

Answer:

3 miles

Step-by-step explanation:

Since she ran 12 miles in 4 days, and all of them were equal, divide 12 by 4. Answer is 3 ^^

Answer:

Wish i could help i need the answer as well

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 4x + 3y = 12 ( add 4x to both sides )

3y = 4x + 12 ( divide the terms by 3 )

y = [tex]\frac{4}{3}[/tex] x + 4 ← in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex] and y- intercept c = 4

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

Given

- 5x + 3y = - 9 ( add 5x to both sides )

3y = 5x - 9 ( divide the terms by 3 )

y = [tex]\frac{5}{3}[/tex] x - 3 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex] and y- intercept c = - 3

Step-by-step explanation:

a geometric sequence is s sequence, where every new element is generated by multiplying the previous element by the same number.

a n = a1 × number^(n-1)

so, a12/a7 = number^5

=> 2187/9 = 243 = number^5

=>

[tex]number = \sqrt[5]{243} [/tex]

=> number = 3

so, what is a1 ?

it has to satisfy e.g. a7.

9 = a1 × 3^6

9 = 3^2

=> 3^2 = a1 × 3^6

=> 1 = a1 × 3^4

=> a1 = 1/(3^4) = 1/81

therefore, the whole formula is

a n = 1/81 × 3^(n-1 )

Answer:

350 days

Step-by-step explanation:

If Ravi is eliminating 100 calories per day, and one pound of body fat is 3500 calories, then it will take him 35 days to lose one pound of body fat.

Multiply 35 by 10 to find how long it will take for him to lose 10 pounds:

35(10)

= 350

So, it will take him 350 days to lose 10 pounds.

Answer:

350

Step-by-step explanation:

Step-by-step explanation:

the solution is self explanatory

Answer:

y= -x+5

Step-by-step explanation:

you can decide whether or not to put a 1 in front of the x, but i don't think it's necessary

i hope this helps :)

Answer: 12(x-5)

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

2^-3

1/2^3

1/8

1/8

[tex] \mathtt \green{Hope \: it \: helps \: uh }[/tex]

Answer:

It is The median, because there is an outlier that is significantly higher than the rest of the data, and it raises the mean above the center of the data, making the mean a poor choice, and the median a better choice

Step-by-step explanation:

1575 is the outlier causing the median to be the best

Answer:

common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.

Answer:

x² + y² = 16

Step-by-step explanation:

We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,

=> ( x - h)² + (y -k)² = r²

=> ( x -0)² + (y-0)² = 4²

=> x² + y² = 16 .

• Hence the equation of the circle is x² + y² = 16.

Answer:

0⋅100 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1500 x .10= 150

1500 - 150 = 1350

=1350 is the price after following the discount of 10%

Answer:

1350

Step-by-step explanation:

Market price = 1500

Discount = 10%

Price of article after allowing discount = 1500 - (1500* 10/100)

=1500 - 150

= 1350

Answer:

Given no. of persons owned laptop = 76

Total of no. of students owned + Total of no. of students dont have owned laptop given = 155

No. of students dont have laptops = 155 - 76 = 79

So then the total no. of no laptops = 79 + 17 = 96(ans)

Answer:

6 + d =

Step-by-step explanation:

Sum means the expression is using addition

Sum of dogs and 6 cats = 6 + d

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

2.83 inches

Step-by-step explanation:

The formula for surface area of cube = 6s²

Where

s = side length of cube

S.A = 6s²

s² = S.A/6

s = √S.A /6

For cube a

Surface area = 1200 in²

Hence,

side length = √1200/6

Side length = √200

= 14.14 inches

For cube b

Surface area = 768 in²

Hence,

side length = √768/6

Side length = √128

= 11.13 inches

How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?

Therefore,

14.14 inches - 11.13 inches

= 2.83 inches

Answer:

It’s B

Step-by-step explanation:

:)

Answer:

C) 5 3√2

Step-by-step explanation:

Answer:

I think a

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

450/5 or 450 divided by 5

you can work this out by figuring out 45/5 which is 9

so 450/5 equals 90

he should read 90 pages per day

Answer:

90

Step-by-step explanation:

Because if you divide the pages into the 5 day it would be 90

450 divide by 5 = 90

Answer:

Part A

The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend

The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend

Part B

P-value from;

Tables, 0.1 < P([tex]\chi^2[/tex] < 4.12) < 0.9

Chi-square calculator, P([tex]\chi^2[/tex] < 4.12) = 0.87

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{ccc}Day&&Number\\Fri&&21\\Sat&&19\\Sun&&10\end{array}[/tex]

The significance level, α = 0.05

Part A

The hypothesis is to test that the given injuries and illnesses occur with equal frequency of the weekend

The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend

The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend

Let the expected frequency, each day of the weekend = (21 + 19 + 10)/3 = 50/3 = 16.[tex]\overline 6[/tex]

We get;

[tex]\begin{array}{ccc}Day & Observed \ Number& Expected \ Number \\Fri&21& 16.\overline 6\\Sat&19&16.\overline 6\\Sun&10&16.\overline 6\end{array}[/tex]

The chi-square test statistics

[tex]\chi^2[/tex] = (21 - 50/3)²/(50/3) + (19 - 50/3)²/(50/3) + (10 - 50/3)²/(50/3) = 4.12

The [tex]\chi^2_u[/tex] with (3 - 1) = 2 degrees of freedom = 5.991

The decision rule, [tex]\chi^2[/tex] > 5.991, we reject the null hypothesis

Given that we have [tex]\chi^2[/tex] = 4.12 < 5.991, we fail to reject H₀, therefore, there is not enough statistical evidence to suggest that the meal plan are related at α = 0.05

Part B

From the chi-square table, we have the p-value at 2  degrees of freedom for the test statistic of 4.12 is between 0.9 and 0.1

Using the chi-square calculator, we have;

P([tex]\chi^2[/tex] < 4.12) = 0.87.

Answer:

2.5 hours

Step-by-step explanation:

The total amount of time studying by students who spent 1/2 an hour studying is the product of the number of students who spent 1/2 an hour studying by 1/2 an hour.

Hence, counting the number of dots on the point marked 1/2 gives the count of students who spent 1/2 an hour studying and multiply this number by 1/2.

Total amount of hours spent = 1/2 * 5 = 2.5 hours