how do i solve this (see image)

Answer:

A=90, B=86.896551724,C=90/29

Step-by-step explanation:

B+C=90

(x28)+x=90

x=90/ 29

((90/29)28)=B

A=90° because there is the symbol indicating a right angle

Answer:

h = -50

Step-by-step explanation:

- 3/10h = 15

Multiply each side by -10/3 to isolate h

-10/3 * - 3/10h = 15 * -10/3

h = -150/3

h = -50

Answer:

h = -50

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

we are given

[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28}[/tex]

we want to prove it algebraically

to do so rewrite 30:

[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 29 + 1}{ {29}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]

let 29 be a thus substitute:

[tex] \displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ {a}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]

factor the denominator:

[tex] \rm\displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

Factor out a²:

[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+ a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

factor out 1:

[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+1( a + 1)}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

group:

[tex] \rm\displaystyle \frac{ ({a}^{2} +1)( a + 1)}{ ({a}^{2} + 1) (a + 1)(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

reduce fraction:

[tex] \rm\displaystyle \frac{ \cancel{({a}^{2} +1)( a + 1)}}{ \cancel{({a}^{2} + 1) (a + 1)}(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

[tex] \displaystyle \frac{1}{a - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]

substitute back:

[tex] \displaystyle \frac{1}{29 - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]

simplify substraction:

[tex] \displaystyle \frac{1}{28} \stackrel { \checkmark}{ = } \frac{1}{28} [/tex]

hence Proven

Answer:

Step-by-step explanation:

Identity to use:

1+N+N^2+N^3 = (N^4-1)/(N-1)

Let N=29

1+29+29^2+29^3 = (29^4-1) / (29-1)

30+29^2+29^3 = (29^4-1) / 28

Transpose and re-arrange

(29^3+29^2+30) / (29^4-1)  =  1 / 28     QED

Answer:

9 cm

Step-by-step explanation:

Applying,

P = a+b+c................. Equation 1

Where P = Perimeter of the triangle, a, b,c are the three sides of the triangle respectively.

From the question,

Given: P = 31 cm, a = x cm, b = (x-1) cm, c = (x+2) cm

Substitute these values into equation 1, and solve for x

31 = x+(x-1)+(x+2)

31 = 3x+1

3x+1 = 31

3x = 31-1

3x = 30

divide both side by 3 to get x

3x/3 = 30/3

x = 10.

Therefore,  the sides of the triangle are

a = x = 10 cm,

b = (x-1) = (10-1) = 9 cm

c = (x+2) = (10+2) cm = 12 cm

Hence the shortest side is 9 cm

Answer:

there is no figure sorry

Answer:

[tex]\frac{2}{13}[/tex]

Step-by-step explanation:

Find the probability by dividing the number of fixed gear bikers by the total number of bikers in the parade.

Since there are 8 fixed gear bikers and 52 bikers in total, this will be found by dividing 8 by 52.

So, the probability as a fraction is [tex]\frac{8}{52}[/tex]

This can be simplified by dividing both the numerator and denominator by 4:

= [tex]\frac{2}{13}[/tex]

So, the probability is [tex]\frac{2}{13}[/tex]

Step-by-step explanation:

D. 321 square feet

26-15= 11

6*11= 66ft²

15*17= 255ft²

255+66= 321ft²

Area= 321ft²

Might be wrong but hope it helped!

Answer:

The initial value is the y value when x is zero.  Look at the table to help you determine the y value when x is zero and that is your answer.

Step-by-step explanation:

Answer:

I'm pretty sure it's D becuase you can't have a power be a fraction

Step-by-step explanation:

Answer:

there would be 20 bottles.

Step-by-step explanation:

13 divided by .65 = 20

Answer:

Step-by-step explanation:

34 . since the given two figure are similar their corresponding sides are proportonal.

let the missing side be x

take these ratios

15/18 = x/30

do cross multiplication

18*x = 30*15

18x = 450

x = 450/18

x = 25

therefore missing side is 25

35.since they are also similar their corresponding sides are proportional.

let the missing side be x

for this take these ratios

8/12 = 10/x

do cross multiplication

12*10 = 8*x

120/8 =x

15 =x

therefore missing side is 15.

Answer:cvg

Step-by-step explanation:

==========================================================

Explanation:

The volume of the cone is...

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*(1.25)^2*2.75

V = 4.49739583333333

which is approximate.

-----------

The volume of the sphere is

V = (4/3)*pi*r^3

V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter

V = 0.06541666666667

which is approximate as well

-----------

Subtract the two volumes to finish things up

4.49739583333333-0.06541666666667 = 4.43197916666667

The result 4.43197916666667 then rounds to 4.43

This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.

Answer:

The correct option is (2,1);maximum. The explanation is given below. The vertex of the parabola is the point where the parabola crosses its axis of symmetry. the vertex will be the lowest point on the graph, the point at the bottom of the " U "-shape.

Step-by-step explanation:

thank me later

Given:

The function is:

[tex]f(x)=3x-5[/tex]

To find:

The average rate of change of the function between x = 3 and x = 7.

Solution:

We have,

[tex]f(x)=3x-5[/tex]

For [tex]x=3[/tex],

[tex]f(3)=3(3)-5[/tex]

[tex]f(3)=9-5[/tex]

[tex]f(3)=4[/tex]

For [tex]x=7[/tex],

[tex]f(7)=3(7)-5[/tex]

[tex]f(7)=21-5[/tex]

[tex]f(7)=16[/tex]

The average rate of change of the function f(x) between x = a and x = b is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

The average rate of change of the function between x = 3 and x = 7 is:

[tex]m=\dfrac{f(7)-f(3)}{7-3}[/tex]

[tex]m=\dfrac{16-4}{4}[/tex]

[tex]m=\dfrac{12}{4}[/tex]

[tex]m=3[/tex]

Therefore, the average rate of change of the function between x = 3 and x = 7 is 3.

Answer:

x( x^2+4)

Step-by-step explanation:

factor out x from the expression

xx (x^2+4)

than your answer is x( x^2+4)

Answer:

[tex] x(x + 2)(x + 2)[/tex]

Step-by-step explanation:

as the x is the common factor...get x out

[tex] {x}^{3} + 4x[/tex]

[tex]x( {x}^{2} + 4)[/tex]

Then

[tex]x( {x}^{2} + 4) \\ x( {x}^{2} + {2}^{2} ) \\ x(x + 2)(x + 2)[/tex]

Hope this helps you

Answer:

-11

Step-by-step explanation:

let (2,1)be x1 and y1 respectively

(3,-10) be x2 and y2 respectively

From,slope= (y2-y1)/(x2-x1)

=(-10-1)/(3-2)

= -11/1

= -11

Answer:

0,1,2 and 3

Step-by-step explanation:

let the first number be b

therefore the second,third and fourth numbers are b+1,b+2 and b+3

b+b+1+b+2+b+3=b+6

4b+6=b+6

4b-b=6-6

3b=0

b=0

Answer:

The second graph: only this one opens downward.

Answer:

Its D

Step-by-step explanation:

Answer:

a and d i think bc they are negative-positive

Statistics & Data

For this data set, there is an outlier. The outlier is four.

This is representing a small number of assignments required in math class that month.

This means that the correct answer is B.

Answer:

B

Step-by-step explanation:

The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.

If you think I missed something or made a mistake, please let me know.

Answer:

x = -8

x = 8

Step-by-step explanation:

x(18 – x) = 2(9x – 32)

distribute

18x - x² = 18x - 64

Subtract 18x from both sides

-x² = -64

multiply both sides by -1

x² = 64

Take the square root of both sides

x = ± 8

x = -8

x = 8

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

Done done done, W=3.46+8.5

W=11.96!

Hit the heart if it was helpful!

Answer:

11.96

Step-by-step explanation:

Answer:

a. x^(5/6) + 2x^(7/3)

Step-by-step explanation:

____