Angle Relationships

Determine the height of the triangle. Round to the nearest foot.

a. 12 ft
b. 14 ft
c. 10 ft
d. 18 ft

Please select the best answer from the choices provided

Answer:

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + c[/tex]

In which m is the slope and c is the y-intercept(value of y when x = 0).

A(2;2) and B(-3;4)

When we have two points, the slope is the change in y divided by the change in x. So

Change in y: 4 - 2 = 2

Change in x: -3 - 2 = -5

Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + c[/tex]

A(2;2)

When [tex]x = 2, y = 2[/tex]. We use this to find c.

[tex]y = -\frac{2}{5}x + c[/tex]

[tex]2 = -\frac{2}{5}(2) + c[/tex]

[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Answer:

100,000,000/10^8

Step-by-step explanation:

10^3 = 1000

10^3 = 1000

10^2 = 100

Therefore,

= (1000) x (1000) x (100)

= (100,000) x (100)

= 100,000,000

or

= 10^8

Answer:

A]  37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12

Step-by-step explanation:

Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.

Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.  

So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) =        [ 10 p / 3 ] +  [ (9 x 4) p / 4 ] = 10p / 3 + 9p  = (10p + 27p) / 3 = 37p / 3

A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn  = ( 37p / 3 ) / (p)  = 37 / 3 = 12 1/3

B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn   =  ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12  

Answer:

34.1cm^2

Step-by-step explanation:

Area of triangle = 1/2 x base x height

=1/2 x6.2 x11

=34.1cm^2

Answer:

There’s two options for each. Look below.

Step-by-step explanation:

Savings: there is no risk of losing any money put into this account

              interest income is the only way to earn money in this type

‘investment: this account may generate income from a variety of sourses.

                  If no deposits or withdrawals are made, money held in this acct..

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Answer:

Step-by-step explanation:

The sum of top and bottom bases is twice the midsegment.

  (c² +6) +(c² +2) = 2(4c)

  2c² -8c +8 = 0 . . . . . . . . . subtract 8c

  2(c -2)² = 0 . . . . . . . . factor

  c = 2 . . . . . . the value that makes the binomial be zero

The value of c is 2; the segment lengths (top-down) are 10, 8, 6.

Answer:

0 = 0 = 0 = 0 = 0 < 1/

2

< 7/

8

< 7/

2

< 49/

8

< 12 < 271/

2

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/

2

is less than 7/

8

is less than 7/

2

is less than 49/

8

is less than 12 is less than 271/

2

0/

8

= 0/

8

= 0/

8

= 0/

8

= 0/

8

< 4/

8

< 7/

8

< 28/

8

< 49/

8

< 96/

8

< 1084/

8

Step-by-step explanation:

Answer: 7x  let me know if you need an explantion.

Answer:

A. -21

Step-by-step explanation:

y varies directly as x

y = kx

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

y = 15 when x = -5

Find k, the constant of variation

15 = k(-5)

Divide both sides by -5

-3 = k

k = -3

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

y when x= 7

using k = -3

y = -3(7)

y = -21

Answer:

Speed = distance / time

Time = distance/ Speed

Distance = Speed x time

Answer:

∠2 = 41°

Step-by-step explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°

Answer:

[tex] \displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg][/tex]

Step-by-step explanation:

we are given a right angle triangle

we want to figure out the missing interior angle

recall that,

thus our equation is

[tex] \displaystyle {49}^{ \circ} + \angle2 + {90}^{ \circ} = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle \angle2 + {139}^{ \circ} = {180}^{ \circ} [/tex]

cancel 139° from both sides:

[tex] \displaystyle \angle2 = {41}^{ \circ} [/tex]

hence,

the measure of the missing angle is 41°

Answer:

multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage

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Answer:

  (d)  all real numbers greater than or equal to -1

Step-by-step explanation:

The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.

  y ≥ -1

Answer:

1 solution (2, 0 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

2x + y = 4 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + y - y = 4 - 2 , that is

x + 0 = 2

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (1)

2 + y = 2 ( subtract 2 from both sides )

y = 0

one solution is (2, 0 )

Answer:

the daimeter of the heart of the heart of the heart

Answer:

8.5 in

Step-by-step explanation:

You are solving for the hypotenuse right? So you would use this formula:

c = square root a^2+b^2

the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!

x = square root 4^2 + 7.5^2

x = square root 16 + 56.25

x = square root 72.25

x = 8.5 inches

Answer:

Since the calculated value of F=0.20  does not fall in the critical region

F ≥  = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

Step-by-step explanation:

As the sample size are different we can run anova in the excel.

Part a)

The null and alternate hypotheses are

H0: μ1=μ2=μ 3  against the claim Ha: Not all three means are equal

The significance level ∝ is chosen to be 0.05

Part b)

The critical region is F≥ F(0.05,5,9) = 3.481

Part c) SST, SSE, and SS total

SS total= 144.933

SSE= 129.8333

SST= 15.1

A nova: Single Factor    

SUMMARY      

Groups Count Sum Average    Variance  

Column 1 3 32          10.67            4.33

Column 2 3 36          12               49  

Column 3 3 40        13.33     4.33

Column 4 3 36        12               7  

Column 5 2 25       12.5               0.5  

Column 6 1 10         10             ----------

The missing value in the variance column does not account for because the excel uses the mean to perform analysis.      

Part d)      

A NOVA Table    

Source              SS df MS               F P-value F crit

Of Variation

Between Groups       15.1   5 3.02 0.20        0.95        3.482

Within Groups  129.833   9 14.43                                          

Total       144.93 14                                                          

Part e)

Since the calculated value of F=0.20  does not fall in the critical region

F ≥  = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

For this exercise it is necessary to use knowledge of statistical, in this way

A) [tex]0,05[/tex]

B) [tex]3.481[/tex]

C)[tex]144.933\\129.8333\\15.1[/tex]

D) Do a new table

E)[tex]\geq 3.481[/tex]

As the sample size are different we can run anova in the excel:

A)The null and alternate hypotheses are [tex]H_0: \mu_1=\mu_2=\mu_3[/tex]  against the claim Ha: Not all three means are equal The significance level ∝ is chosen to be 0.05.  

B)The critical region is [tex]F\geq F(0.05,5,9) = 3.481[/tex]

C) SS total= [tex]144.933[/tex]

SSE= [tex]129.8333[/tex]

SST= [tex]15.1[/tex]

A nova: Single Factor    

[tex]Groups\\C1\\C2\\C3\\C4\\C5\\C6[/tex]     [tex]Count\\3\\3\\3\\3\\2\\1[/tex]     [tex]Sum\\32\\36\\40\\36\\25\\10[/tex]    [tex]Avarage\\10.67\\12\\13.33\\12\\12.5\\10[/tex]     [tex]Variance\\4.33\\4.9\\4.33\\7\\0.5\\0[/tex]

The missing value in the variance column does not account for because the excel uses the mean to perform analysis.      

D) New Table    

[tex]Source\\Between\\Within \\Total[/tex]   [tex]SS df MS\\15.15\\129.833\\144.93[/tex]  [tex]FP-value\\3.02\\14.43\\145[/tex]    

E) Since the calculated value of F=0.20  does not fall in the critical region [tex]F \geq = 3.481[/tex] we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

See more about statistical at : brainly.com/question/15692038

Answer:

23.864 ft

Step-by-step explanation:

circumference = pie x diameter

   pie= 3.14                

diameter= 7.6ft

therefore, circumference =

     3.14 x 7.6 ft

=23.864 ft

roundoff to the nearest tens=23.9 ft

Answer:

7

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

7

Answer:

7

Step-by-step explanation:

I think the answer you're looking for is 7

Answer:

[tex]9x^{2} -34[/tex]

Step-by-step explanation:

Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]

The point in the middle between 3G and 3 is a multiplication sign btw

Answer:

Step-by-step explanation:

Given the inequalities as

y>-2x+3

y<1/2x-2

Graph the inequalities on the graph tool

The solution is  points in the shaded area such as (2,2),(4,4),(4,2),(2,-2),(2,-4)

The point (-2,3) is not included in the solution area because it is located in the un-shaded area.

Mathematically, taking points (-2,3) into the inequality

y>-2x+3

3>-2(-2) +3

3>4+3

3>7---------------------not correct because 3<7

Answer:im so sorry i dont know this one

Step-by-step explanation:but i would try adding subtracting or divison

Answer:

21

Step-by-step explanation:

We can use a proportion to solve this problem

8 : 33.6 = 5 : OP

OP = (33.6 x 5)/8 = 21

Answer:

No

Step-by-step explanation:

Obtuse has an angle that is greater than 90 degrees. To be obtuse the angle must be 91 and up. Right triangles are 90-degree angles. Acute triangles have an angle that is less than 90. So, 89 and below.

I hope I answered your question correctly.

~LampteyJ

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Answer:

  5a,b = 17,576,000; 11,232,000

  6. 45,697,600; 32,292,000

  7. 6,760,000; 3,276,000

  8. 118,813,760; 78,936,000

Step-by-step explanation:

The number of possible ways the characters can occur is the product of the numbers of ways a character can be selected in each position. If letters or digits cannot repeat, the number of possible selections is reduced by 1 in each new location.

5a. 26×26×26×10×10×10 = 26³×10³ = 17,576,000

5b. 26×25×24×10×9×8 = 11,232,000

__

6a. 10²×26⁴ = 45,697,600

6b. 10×9×26×25×24×23 = 32,292,000

__

7a. 10⁴×26² = 6,760,000

7b. 10×9×8×7×26×25 = 3,276,000

__

8a. 26⁵×10 = 118,813,760

8b. 26×25×24×23×22×10 = 78,936,000

Answer:

-1 1/2, -1, 0, 1/2, 1

Step-by-step explanation:

Answer:

hopes this helps

Step-by-step explanation:

B -x+4

Answer:

No

Step-by-step explanation:

Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible

Answer:

No

Step-by-step explanation:

No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.