What is the distance between the following two points?

Answer:

[tex]\huge\mathcal\red{here's \: your \: solution..} \\ \\ \cos = base \div hypotenuse \: \\ \\ \cos(60) = 1 \div 2 \\ \\ \cos = a \div 14 \\ \\ a \div 14 = 1 \div 2 \\ \\ a = 14 \div2 \\ \\ a = 7 \: cm \\ \\ \huge\mathfrak\green{hope \: it \: helps..}[/tex]

Answer:

6x+15

Step-by-step explanation:

3×2x + 3×5. use the distributive property of multiplication

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:

5$

Step-by-step explanation:

20,000 / 4,000 is five or 20 / 4 = 5

Answer:

Step-by-step explanation:

21

Answer:

Step-by-step explanation:

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:

35

Step-by-step explanation:

2 x 7 = 14

5 x 7 = 35

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:

For 6 days,  Samantha ran less than 56/8 mile

Step-by-step explanation:

The remaining part of the question is attached

Solution

Given

As we know

56/8 can be reduced to 5 3/4

Hence, if we see the plot we can determine that Samantha  ran 6 times less than  5 3/4 miles

For 6 days,  Samantha ran less than 56/8 mile

Step-by-step explanation:

the solution is self explanatory

Answer:

Step-by-step explanation:

D po hehe..tiwala lang

Answer:

(2,1)

Step-by-step explanation:

(x,y)

Answer:

2.30

Step-by-step explanation:

sin=opposite/hypotenuse

sin50=BC/3

BC=3sin50

BC=2.298≈2.30

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: 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: 12(x-5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. ABCD is a parrallelogram  1. Given

2. Opposite sides of a parrallelogram are equal 2. Definition of parrallelogram

3. < D=<B     3. Definition of Parrallelogram

Answer:

this link will help

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

8x9x10 = 720

5x5x10 = 250

720-420 = 470

Answer:

B

Step-by-step explanation:

Answer:

B.1593

Step-by-step explanation:

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:

6 + d =

Step-by-step explanation:

Sum means the expression is using addition

Sum of dogs and 6 cats = 6 + d

Answer:

D

Step-by-step explanation:

QG=GS

x+5=2x-2

x=7

QG=7+5=12

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:

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:

In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Solberg's polynomials, and the Stirling interpolation polynomials as special cases.

Step-by-step explanation: