Write the equation of the line in slope-intercept form.

Answer:

The answer is below

Step-by-step explanation:

1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:

AC² = BC² + AB²

25² = AB² + 15²

AB² = 25² - 15²

AB² = 400

AB = √400

AB = 20 cm

Using sine rule:

[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]

2)

Using Pythagoras:

hypotenuse² = 8² + 6²

hypotenuse² = 100

hypotenuse = √100

hypotenuse = 10

Using sine rule:

[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]

Answer: F is 11m.

Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.

Answer:

Infinite Solutions

Step-by-step explanation:

3x-7=3x(x-3)+2

3x-7=3x-9+2 - Distributive Property

3x-7=3x-7 - adding the right side together

Answer:

(0,1)

Step-by-step explanation:

i recommend if you ever need a faster answer use desmos!

Answer:

sssssssssiiiiiiiiiiiiii

Answer:

6

Step-by-step explanation:

Step-by-step explanation:

If you divide the distance by the elapsed time, the result will be the rate of water loss (evaporation). To convert this evaporation rate in to gallons lost over a specific time period, you will need convert the measure into a volume. WTG GLAD U GOT IT RIGHT..

Answer:

0.175

Step-by-step explanation:

[tex]\frac{4j}{4} =\frac{0.7}{4}[/tex]

j=0.175

Answer:

[tex]P(L\ or\ C) = 0.13[/tex]

Step-by-step explanation:

Given

Represent loose threads with L, Crooked stitching with C.

So, we have:

[tex]P(L) = 6.5\%[/tex]

[tex]P(C) = 9.5\%[/tex]

[tex]P(L\ and\ C) = 3\%[/tex]

Required

Calculate P(L or C)

In probability:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]

In this case:

[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]

Substitute values for P(L), P(C) and P(L and C)

[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]

[tex]P(L\ or\ C) = 13\%[/tex]

Convert to decimal

[tex]P(L\ or\ C) = 0.13[/tex]

Hence:

The required probability is 0.13

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3500 ÷ 70 = 50

3500 ÷ 50 = 70

Answer:

The answer is C and E.

Step-by-step explanation:

I just took the assignment and it is C and E.

The expression that represents the population after 5 decades is

100,000 x [tex]2^5[/tex] or 100,000 x 2 x 2 x 2 x 2 x 2.

Options C and E is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

The population of the city = 100,000

Population doubles every decade.

This means,

Population after 1 decade.

= 100,000 x 2

= 200,000

Population after 2 decades.

= 200,000 x 2 x 2

= 800,000

We can write an expression for the population after x decade.

= 100,000 x [tex]2^x[/tex]

The population after 5 decades.

= 100,000 x [tex]2^5[/tex]
= 100,000 x 2 x 2 x 2 x 2 x 2

= 100,000 x 32

= 3200,000

Thus,

The expression is 100,000 x [tex]2^5[/tex] or 100,000 x 2 x 2 x 2 x 2 x 2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

9

Step-by-step explanation:

if scale factor is 3/5, then

(x+12):35=3:5, ⇒

[tex]\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9[/tex]

Answer:

88.89%

Step-by-step explanation:

Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4

The calculated minimum percentage value of quiz scores between

First step is to calculate the lower k value using this formula

k=(x1−m)/s

Where:

x1 represent first random value 4.8

x2 represent second random value 8.4

m represent mean 6.6

s represent standard deviation 0.6

Let plug in the formula

k=(4.8−6.6)/0.6

k=−1.8/0.6

k=−3

Second step is to calculate the upper k value

k=(x2−m)/s

k=(8.4−6.6)/0.6

k=1.8/0.6

k=3

Now let calculate the minimum percentage

Using this formula

Minimum percentage=1−1/k^2

Let plug in the formula

Minimum percentage=1−1/3^2

Minimum percentage=1−1/9

Minimum percentage=1−0.1111

Minimum percentage=0.8889*100

Minimum percentage=88.89%

Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%

Answer:

75%

Step-by-step explanation:

5.2−6.40.6=−2  and 7.6−6.40.6=2.

This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.

According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.

Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.

Answer:

The midpoint of the line segment   D = ( 4, 6)  

Step-by-step explanation:

Explanation:-

Given points are A(8,7) and B(0,5)

The midpoint of line segment overline AB

Let 'D' be the midpoint of AB

[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]

[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]

[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]

The midpoint of the line segment

 D = ( 4, 6)  

Answer:

a)  ( r+ s) (x)  = 3 x + 9

b)   ( r . s ) (x) =  2 x² + 13 x +20

c) ( r- s) (x)  = -1 -x

Step-by-step explanation:

Step(i):-

Given that r(x) = x +4 and s(x) =  2x + 5

a)   ( r+ s) (x)  = r(x) + s(x)

                    = x +4 + 2x +5

                   = 3 x + 9

    ( r+ s) (x)  = 3 x + 9

b)

    ( r . s ) (x)  = r(x) . s(x)

                    = (x+4) . ( 2x +5)

                   = x ( 2x +5) + 4( 2x +5)

                  = 2 x² + 5 x + 8 x +20

                 = 2 x² + 13 x +20

( r . s ) (x) =  2 x² + 13 x +20

c)

 ( r- s) (x)  = r(x) - s(x)

               =  (x+4 - ( 2x +5)

              = x +4 - 2x -5

            = -x -1

( r- s) (x)  = -1 -x

Answer:

y - 0 = -⅔(x - 3)

Step-by-step explanation:

Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.

Thus:

Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).

y - 0 = -⅔(x - 3) (the equation in point-slope form)

Answer:

In Geometry, there are five fundamental angle pair relationships:

Complementary Angles.

Supplementary Angles.

Adjacent Angles.

Linear Pair.

Vertical Angles.

The measure of the angle u and angle t will be 29 degrees.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angle u is congruent to angle t.

From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,

∠t + ∠u + 122° = 180°

∠t + ∠t  = 58°

2∠t = 58°

∠t = 29°

The measure of the angle u and angle t will be 29 degrees.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ5

Answer:

do you need a bandaid?

Step-by-step explanation:

Step-by-step explanation:

Wth?

Are u okay??

call 911

Answer:

C

Step-by-step explanation:

1 inch=400 miles

x =200 miles

200 is half of 400, so the measurement should be halved as well.

Answer:

3ft 6in or 42 inches in total

Step-by-step explanation:

hope this helps

Answer:

uhhh i might be l;ate lol

Step-by-step explanation:

Answer:

Area of triangle is 1 inches²

Step-by-step explanation:

We are given:

Base of triangle = 16 inches

Height of triangle = [tex]\frac{1}{8} \:[/tex] inches

We need to find:

Area of triangle

The formula used to find Area of triangle is:

[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height.

Putting values and finding area:

[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]

So,  Area of triangle is 1 inches²

Answer:  try downloading an app for math

Step-by-step explanation:

It helps me

Yes because in it's the same variable do it will give the same answer

Answer:

0.206 and then it repeats 6 over and over again

Step-by-step explanation:

hope it helped :)

Answer:

Step-by-step explanation:

the answer is:

0.20666666666

Answer:

4/35

Step-by-step explanation:

1. Find 7 1/2

15/2

2. Flip 15/2

2/15

3. Multiply

12/105

4. Simplify

4/35

Hence, the two way frequency table is:

                  Action                 Drama                Comedy         total

Highschool  26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College      20/128=0.16            28/128=0.22        18/128=0.14      0.52          

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

total                   0.36                        0.33                     0.31                   1

Step-by-step explanation:

" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .

We are given a table or data  as:

                         Action              Drama                     Comedy     Total

Highschool        26                     14                            22                 62

College              20                     28                            18                 68

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

Total                            46                      42                           40               128

The total number of students in all the categories and classes are: 128

Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.

                               Action                 Drama                Comedy         total

High school      26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College           20/128=0.16            28/128=0.22        18/128=0.14      0.52          

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

total                      0.36                        0.33                     0.31                   1

Answer:

It would be the first table (taking the test right now) p.s sorry if im late

Step-by-step explanation:

CA TX NY FL Total

Boys 0.21 0.095 0.16 0.11 0.575

Girls 0.125 0.11 0.065 0.125 0.425

Total 0.335 0.205 0.225 0.235 1

Answer:

8/27

Step-by-step explanation:

2 2/3 = 8/3

8/3 divided by 9 =

8/3 x 1/9 =

8/27