Under which angle conditions could a triangle exist? Check all that apply.
3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle
O

Answer:

d

Step-by-step explanation:

The solution is Option D.

The probability of at least two coins landing on heads is given by the equation P = 11/16

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of at least two coins landing on heads be P

Now , the equation will be

Let the coin landing on its head be represented as = H

Let the coin landing on its tail be represented as = T

The possible outcomes of flipping a coin be represented by set A

Set A = {  HHHH , HHHT , HHTH , HHTT , HTHH , HTHT , HTTH , HTTT , THHH , THHT , THTH , THTT , TTHH , TTHT , TTTH , TTTT }

So ,

The total number of outcomes = 16 outcomes

The number of outcomes where at least 2 coins land on their heads is given by set B

Set B = { HHHH , HHHT , HHTH , HHTT , HTHH , HTHT , HTTH , THHH , THHT , THTH , TTHH }

The number of outcomes of set B = 11

So , the probability of at least two coins landing on heads be P = number of outcomes of set B / total number of outcomes

Substituting the values in the equation , we get

Probability of at least two coins landing on heads be P = 11/16

Therefore , the value of P is 11/16

Hence , the probability is 11/16

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Answer:

[tex]angle \: \: 2 = 162 \: \: degrees[/tex]

Step-by-step explanation:

The angle which is in number 1 is 18 degrees because they're vertically opposite angles.

[tex]angle \: \: 1 + angle \: \: 2 = 180 \\ [/tex]

Angle 1+2 is 180 degrees ( angles in a straight line = 180 degrees)

[tex]1 + 2 = 180 \\ 18 + x = 180 \\ x = 180 - 18 \\ x =16 2 \: \: degrees[/tex]

hope this helps

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good luck! have a nice day!

Answer:

d. (-1, 3)

Step-by-step explanation:

Reflecting across y axis means the x coordinate will change.

Imagine a mirror image of the triangle on the other side of Y axis.

A's coordinates on the right are (1, 3)

So if we flip across Y the coordinates will now be (-1, 3)

3 stays the same because it is still in the same position vertically.

The correct option will be Option B: When ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).

Reflection is the transformation of the picture about an axis so that the distance of the reflected image from the axis is the same as the distance of the original image from the axis.

When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).

Given that the triangle ΔABC is reflected across the y-axis.

The coordinate of point A is (1,-3).

When point A of triangle ΔABC is reflected by the y-axis, then the coordinate of y will not change. The mirror image of the triangle will be on the other side of the y-axis.

As we know When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).

Then the coordinate of the reflected point A will be (-1,-3).

Therefore when ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).

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Answer:

C) The bars weigh 2.8oz on average.

Step-by-step explanation:

The fact that each sample's mean weight was within the 95% confidence interval suggests that the true mean weight of the chocolate bars is likely to be around 2.8 oz. The 95% confidence interval means that, in theory, if we repeated this sampling process many times, we would expect the true mean weight of the chocolate bars to fall within this interval 95% of the time. Since each sample's mean weight falls within this interval, it is reasonable to conclude that the company's claim that the bars weigh 2.8 oz on average is likely to be true.

Answer:

2 inches by 2.1333...

Step-by-step explanation:

Take the Actual Dimensions and divide them by the scale factor of 7.5 feet to find the dimensions on the blueprint

Answer:

d) 9/4

Step-by-step explanation:

Explanation:-

Given circumference of cylinder A = π r² = 4π units

Given circumference of cylinder B = π r² = 9π units

The  dimensions of cylinder A are multiplied by [tex]\frac{9}{4}[/tex]

   circumference of cylinder A = π r² = 4π([tex]\frac{9}{4})[/tex] units     = 9 π units  

circumference cylinder A= 4π([tex]\frac{9}{4})[/tex] units = 9 π units = circumference of cylinder B

Final answer:-

The dimensions of cylinder A are multiplied by 9/4  produce the corresponding dimensions of cylinder B

Answer:

To prove triangles similar, you need to prove that corresponding angles are congruent and corresponding sides are proportional.

Step-by-step explanation:

Answer:

Approximately $24.16

Answer:

12 wins per loss :)

Step-by-step explanation:

Hope this helps!!

Answer:

Step-by-step explanation:

put into a ratio

24:2

36:3

48:4

then simplify

24:2 (divide both sides by 2) 12:1

36:3(divide both sides by 3)12:1

48:4(divide both sides by 4)12:1

this then shows it's 12 wins per loss

Answer:

135

Step-by-step explanation:

angle 1 and angle 3 are have the same messure  so angle 3 equals to 135

The slope is -1.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:m=1/3

Step-by-step explanation:

m=2/(2-(-4))

m=2/6

Answer:C 5000 feet

Step-by-step explanation:It’s slightly less then a mile.

Answer:

Step-by-step explanation:

First of all, you would want to convert all of the distances into the same units.

Let's convert the distances to miles.

5,000 inches = about 0.08 miles

0.5 miles = 0.5 miles

5,000 feet = about 0.9 miles

500 yards = about 0.3 miles

Now, we compare the values.

We can easily place 5,000 inches last, because when converted to miles it's 0.08.

0.08<0.3<0.5<0.9

5,000 inches<500 yards<0.5 miles<5,000 feet

Hence, the answer is C.

Answer:

The height of the objects are the same after 2 seconds.

Step-by-step explanation:

In order to calculate at which time both objects have the same height we need to find the value of t that makes both equations equal. Therefore:

[tex]-t^2 + 3t = -t + 4\\t^2 - 3t - t + 4 = 0\\t^2 - 4t + 4 = 0\\t_{1,2} = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*4}}{2*1} = \frac{4 \pm \sqrt{16 - 16}}{2}\\t_{1,2} = \frac{4}{2} = 2[/tex]

The height of the objects are the same after 2 seconds.

Answer:

w= 69 meters

Step-by-step explanation:

if u want to find the width u need to divide

area equals l times w

w equals area divided by l

l equals area divided by w

we need to find width

so w= 5451 divided by 79

w= 69

hope this helps

Answer:

  58.9 ft²

Step-by-step explanation:

The horse is constrained to 3/4 of a circle that has a 5 ft radius. Then the area is ...

  A = (3/4)πr²

  A = (3/4)π(5 ft)² = 75π/4 ft²

  A ≈ 58.9 ft²

The horse has a maximum grazing area of 58.9 ft².

_____

In the real world, a 5 ft rope is awfully short. The grazing area would depend on how high on the barn it is tied, and where on the horse it is tied.

Answer:

2*(4+6)

Step-by-step explanation:

2 multiplied by the sum of 4 and 6 is 2 times 10, which equal 20. Hope this helps :)

Answer:

2x(4+6)

The factors of 20 are 1,20||| 2,10 |||4,5||||

We need to somehow get both of those numbers

We have 4 but there is no way to get 5 so only 1,20 and 2,10 are left

We have 2 and we can add 4 + 6 = 10 and 10 x 2 = 20 so that's our answer

Hope this heps

Step-by-step explanation:

Answer:

D. $125,000

Step-by-step explanation:

1500 square feet multiplied by $83.33 per square foot = $124,995

which is about 125,000.

Using The Almighty Formula (attached)

Note the symbol ^ is used to denote a raise to power

Where from the equation given x^2-5x-7

With a,b,c coefficients

a=1 b=-5 c=-7

From the Almighty Formula

√b^2-4ac=√(-5)^2-4(-7)=√53

Substituting in the Almighty Formula

-(-5) ±√53/2(1)= 5±√53/2

x=5+√53/2 and x=5-√53/2

Answer:

x = the quantity of 5 plus or minus the square root of 53 all over 2

Step-by-step explanation:

took the quiz

Answer:

The answer is 75%

Step-by-step explanation:

12-75%=3

Answer:

Number of  Big  Screw = 4

Number of big screw=  38

Step-by-step explanation:

4 3/4  2/3

big screws = 8

small = 6

4 3/4 x 8

38

28.5

2/3 x 6

4

Answer:

small screws = 38

Big screws = 4

Step-by-step explanation:

4 3/4 boxes of small screws =

4 3/4 * 8 = 38 screws

Big box is 2/3 * 6 = 4 screws

Answer:

the second one

Step-by-step explanation:

The y-intercept is -4 so we can eliminate the third and fourth options. Substitute (0,0) into the equation and from that we can say that it is not true (0 is not less than -4). Because it isn't true, we shade in the side that doesn't have the origin in it.

We will see that the theoretical probability that the name Josh is chosen is P = 1/7.

7 names are put on a hat, theoretically, we assume that all the names have the same probability of being randomly drawn from the hat. So it does not depend on the given information, that would give us the experimental probability.

Then, for the theoretical probability we will have the quotient between the number of names in the hat that are Josh (there is only one) and the total number of names in the hat, this gives:

P(Josh) = 1/7

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Answer:

f(x) = (1/2)*x + 6

Step-by-step explanation:

We have the following equation:

y - 8 = (1/2)*(x - 4)

Applying distributive property:

y - 8 = (1/2)*x - (1/2)*4

y - 8 = (1/2)*x - 2

Isolating y:

y = (1/2)*x - 2 + 8

y = (1/2)*x + 6

When we talk about functions, y and f(x) refers to the same. So, we can rewrite the last equations as:

f(x) = (1/2)*x + 6

Answer:

SUM OF ANGLE THAT IS ANSWERS

Answer: 2cm

Step-by-step explanation:

From the question, we are informed that a microscope dilates the image of an organism 4 times its original dimensions and that the radius of a circular organism has seen by a microscope is 8 cm.

Since the microscope makes the objects 4 times bigger, then the original radius will be:

= 8cm/4

= 2cm

The radius of the actual organism is 2cm.

Answer:

32cm

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

The hypotenuse of a triangle is always twice the length of the shorter side in a 30 60 90 triangle. So if the hypotenuse is 4 the shortest side must be 2. Meaning the sum will be 6. The medium side is the shortest side times the square root of 3. So we have 2[tex]\sqrt{3}[/tex]. Our final equation is 6+ 2[tex]\sqrt{3}[/tex].

Answer:

He went on 35 rides.

Step-by-step explanation:

All you have to do is count up until you get to 41

Answer:

2 balls

Step-by-step explanation:

6 balls/ 3 scarves

divide the top and bottom by 3

2 balls/ 1 scarf

Answer: 2 balls

Step-by-step explanation: If she uses 6 balls for 3 scarves, then that means she uses 2 balls per scarf. 6 divided by 3 is 2.