Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

9514 1404 393

Answer:

  x = 150

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°.

  65° +80° +72° +(x -7)° = 360°

  x = 150 . . . . . . divide by °, subtract 210

Answer:

i think its b but im not 100 percent sure...

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d

Answer:

50 square feet.

Step-by-step explanation:

Let x represent the width of the fence and y represent the length of the fence.

One side of the length is already covered by the house. This leaves 2x and y. This must sum to 20. Hence:

[tex]2x+y=20[/tex]

The area of the enclosure will be given by:

[tex]A=xy[/tex]

From the first equation, we can subtract 2x from both sides:

[tex]y=20-2x[/tex]

Substitute:

[tex]A=x(20-2x)[/tex]

This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex. So, find the vertex of the equation. Distribute:

[tex]A=20x-2x^2[/tex]

In this case, a = -2, b = 20, and c = 0.

Hence, the vertex is:

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(20)}{2(-2)}=5[/tex]

Substitute this value back into the equation and evaluate:

[tex]A(5)=20(5)-2(5)^2=50\text{ ft}^2[/tex]

The maximum area is 50 square feet.

This occurs when the dimensions are 5 feet by 10 feet.

Answer:

A

Step-by-step explanation:

A) is the right answer.

Answer:

A

Step-by-step explanation:

A)  Yes, this is solution

b) No

c) No

d) NO

Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

Answer:

at this rate

mealworm crawl 0.35 m in 1 minute

Answer: 23.92 kJ

Step-by-step explanation:

Given

Distance moved by wagon is [tex]d=1.2\ km[/tex]

Force [tex]F=22\ N[/tex] directed at an angle of [tex]25^{\circ}[/tex] above the horizontal

Only the horizontal component of the force that is, [tex]22\cos 25^{\circ}[/tex]the wagon will cause the wagon to move, while the other force is perpendicular to the wagon and thus produce zero displacements.

Work done is

[tex]W=F\cdot s\\W=22\times 1.2\times 10^3\times \cos 25\\W=23.92\ kJ[/tex]

thus, 23.92 kJ of work is done on the wagon.

Answer:

false

Step-by-step explanation:

Answer:

zMNP=180-73

=107 IS THE ANSWER

Answer: [tex]m=\frac{-30}{79},\ y=5.40[/tex]

Step-by-step explanation:

Given

Points are [tex]\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)[/tex]

Convert mixed numeral to fraction

[tex]\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)[/tex]

Slope of the line is

[tex]\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}[/tex]

Equation of line

[tex]\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40[/tex]

This question is incomplete, the complete question is;

In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.

Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)

a) What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

Don't put your first ball back into the bucket. Now reach in ( again no peeking ), and pick your second ball. ( Click the red Pick-A-Ball icon to simulate reaching into the bucket and select your next ball.)

b) What is the probability of selecting the color of the ball you selected. ( Enter the answer in decimal format to 4 decimal places ).

Answer:

a) the probability of selecting the color of ball ( RED ) that you just selected is 0.5000

b) the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

Step-by-step explanation:

Given that;

We have a total of 10 colored balls  in a small bucket.

Number of Red balls = 5

Number of White balls = 2

Number of blue balls = 3.

Now, assuming I clicked on the red Pick-A-Ball icon to simulate reaching into the bucket and picking a ball.

Also, Assuming that the color of ball that appeared is Red.

Then the probability of selecting the color of ball ( RED ) that I just selected will be;

P( selected Color ) = Number of Red balls / Total number of balls in the bucket

P( selected Color )  = 5 / 10 = 0.5000

Therefore, the probability of selecting the color of ball ( RED ) that I selected is 0.5000

b)

It is said that the game is Pick-A-Ball without replacement.

So assuming I went on and clicked on the red Pick-A-Ball icon to simulate picking a second ball.

Also, Assuming that the color of ball that appeared was blue.

Then the probability of selecting the color of ball ( BLUE ) that I just selected will be;

P( selected Color ) = Number of Blue balls / Total number of balls in the bucket

Now, since I picked the first ball without replacement, i.e I did not return it back to the bucket, The total number of balls left in the bucket now is 9.

so; P( selected Color ) = 3 / 9 = 0.3333

Therefore, the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

Answer:

Yes; That what I got In my studies and lessons

9514 1404 393

Answer:

  x = 8

  y = 4sqrt(3)

Step-by-step explanation:

Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...

  1 : √3 : 2 = 4 : y : x

Multiplying the reduced ratios by 4 gives ...

  4 : y : x = 4 : 4√3 : 8

That is, ...

  x = 8

  y = 4√3

Answer:

-3/5

Step-by-step explanation:

Given :-

And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.

Using Pythagoras Theorem :-

[tex]:\implies[/tex] h² = p² + b²

[tex]:\implies[/tex] h² = 16² + 12²

[tex]:\implies[/tex] h² = 256 + 144

[tex]:\implies[/tex] h² = 400

[tex]:\implies[/tex] h = 20 u

Therefore the sine will be :-

[tex]:\implies[/tex] sinθ = p/h

[tex]:\implies[/tex] sinθ = 12/20

[tex]:\implies[/tex] sinθ = 3/5

[tex]:\implies[/tex] sinθ = -3/5

Therefore the value of sine is -3/5.

Answer:

1.09

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

The length is 8.

Step-by-step explanation:

If you know the formula for area is LxW. Use this but reverse it. The area is 24 and the width is 3. Now divide 24/3=8. Simple as that!

Formula: A/W=L or A/L= W use this if you need more help! Hope it helps (:(:

Answer:

[tex]a =7[/tex]   [tex]b = 2[/tex]  [tex]c = -4[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Required

Find a, b and c

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Take LCM

[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Expand

[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Collect like terms

[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

By direct comparison:

[tex]ax^2= 7x^2 \to a = 7[/tex]

[tex]bx = 2x \to b = 2[/tex]

[tex]-4 = c \to c = -4[/tex]

Answer:

d= -32

Step-by-step explanation:

Answer:

-5=d/4+3

-5-3=d/4

-8=d/4

-8*4=d

-32=d

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

Mark as Brainliest

P.S

other person is wrong

Answer:

10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19  

Step-by-step explanation:

Answer: 18x -15 -y =0

Step-by-step explanation:

because linear equations in two variables are always in the format of ax+by+c=0

where a,b and c are constant terms

in this case a = 18; ax= 18x

b= -1 , by= -y

c= 15

Answer:

90x + 75 = 90x + 12, they don't intersect

Step-by-step explanation:

18x + 15 - y = 0

5y = 90x + 12

1. We will be using substitution, to do so, bring y to the other side in the first eqaution.

18x + 15 - y = 0

18x + 15 = y

2. Now plug in 18x+15 into the second equation

5(18x + 15) = 90x + 12

3. Distribute and solve for x

90x + 75 = 90x + 12

Because the slopes are the same (90x) this means that the system does not have an intersect.

Answer:

240% of 150 is 360

Step-by-step explanation:

240% of [tex]x[/tex] = 360

[tex]\frac{240}{100}[/tex] x [tex]x[/tex] = 360

2.4 [tex]x[/tex] = 360

[tex]x[/tex] = [tex]\frac{360}{2.4}[/tex]

[tex]x[/tex] = 150

Answer:

18

Step-by-step explanation:

You have to divide both sides by 12 inorder to remain with the f on the other side since you want to find the value of f.

12f/12=216/12

F=18

I hope this helps

Answer:

[tex]P(-2 \le x \le 2) =0.60[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}x & {-5} & {-3} & {-2} & {0} & {2} & {3} \ \\ P(x) & {0.17} & {0.13} & {0.33} & {0.16} & {0.11} & {0.10} \ \end{array}[/tex]

Required

[tex]P(-2 \le x \le 2)[/tex]

From the distribution, the above is equivalent to:

[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]

We have:

[tex]P(x = -2) = 0.33[/tex]

[tex]P(x = 0)=0.16[/tex]

[tex]P(x = 2) = 0.11[/tex]

So:

[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]

[tex]P(-2 \le x \le 2) = 0.33 + 0.16 +0.11[/tex]

[tex]P(-2 \le x \le 2) =0.60[/tex]