You roll a number cube once. What is the theoretical probability that you roll a 3 or 1? Enter your answer as a simplified fraction.

➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.

We know that,

Sum of all interior angles of a triangle = 180°.

[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°

[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°

So, the measure of [tex]\angle[/tex]ACB = 70°.

➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.

As we know that,

Sum of any two or more angles that lie on a straight line = 180°.

So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.

Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.

____________________________

Hope it helps you:)

In order to find the value of x, we should add 6 to both sides:-

-6+x=-4

x=-4+6

x=2

Hence, the value of x is 2.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

The surface area of the larger pyramid is 159.21 ft²

The surface area of the small pyramid is given as:

A = 25.49 ft²

The corresponding sides of the pyramids are:

Small = 6; Large = 15

The surface area of the large pyramid is then calculated using:

Area = A * (Large/Small)²

This gives

Area = 25.49 * (15/6)²

Evaluate

Area = 159.21

Hence, the surface area of the larger pyramid is 159.21 ft²

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Answer:

159.31

Step-by-step explanation:

Right on Edge

Fractions are written as the ratio of two integers. 3 1/7 cups white flour will be needed for every 11 cup of rye flour

Fractions are written as the ratio of two integers. If a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye, the number of cups of rye needed for 1 cup ofwhile flour will be:

For 1 cup of flour = (2 1/2)/(8 3/4)

For 1 cup of flour = (5/2)/(35/4)

For 1 cup of flour = 5/2 * 4/35
For 1 cup of flour = 2/7 cups of rye

For 11 cups:

For  11 cup of rye flour = 11 * 2/7

11 cup of rye flour = 22/7=3 1/7 cups

Hence 3 1/7 cups white flour will be needed for every 11 cup of rye flour

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Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

Answer:

b and d option are correct

Answer:

B, D

Step-by-step explanation:

B, D

x cannot be in a root.  (A)

x cannot be in the denominator.  (C)

Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.

Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base.  That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base.  Therefore, C is your answer.

Let me know if this is right! :)

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.

After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.

Scale factor is the ratio of the corresponding sides of two objects.

Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)

(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A

So, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²

Since

surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²

So, substituting the values of the variables into the equation, we have

surface area of rectangular pyramid A = 1215 cm²/33²

= 1215 cm²/1089

= 1.12 cm²

So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

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mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -

correct answer:

6×7-16:4

= 42-4

= 38

Answer:

47°

Step-by-step explanation:

sum of angles in triangle=180

x + 90 + 43 = 180

x = 180 - 90 - 43

  = 47

Hope it helps:)

Answer:

2,034,630,000

Step-by-step explanation:

2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000

Answer: The answer is B and C.

Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

Answer: 1/3cb

Step-by-step explanation:

i hope this helps

Answer:

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

Step-by-step explanation:

[tex]Divide \: 3 {a}^{2} \times \frac{b}{c} = 3 {ab}^{2} [/tex]

[tex] \frac{3 {a}^{2} \cdot \frac{b}{c}}{{(3ab)}^{2} } \\ \frac{3 {a}^{2}{b }}{{(3ab)}^{2}c} \\ \frac{3 {a}^{2} b}{9 {a}^{2} {b}^{2}c } \\ \frac{\not3 {a}^{2} b}{\not9 {a}^{2} {b}^{2}c } \\ \frac{ {a}^{2} b}{3 {a}^{2} {b}^{2}c } \\ \frac{ \not{a}^{2} b}{3 \not{a}^{2} {b}^{2}c } \\ \frac{\not{b}}{3 \not{b}^{2}c } \\ \frac {1}{3bc}[/tex]

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

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Answer:

2.60

Step-by-step explanation:

This is a strange way to solve the problem, but it works for me.

1. Convert to decimals

         -3/20 = -.15

         2- 9/20 = 49/20 = 2.45

2. Solve

     2.45 - (-.15)

     2.45 + .15 = 2.60

Answer:

M.P. = [(100 + Gain%)/(100 – Discount%)] × C.P.

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

Answer: D

Step-by-step explanation:

Using the two point slope form with points (0, 0) and (4, -3):

[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]

[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]

Therefore, D is the correct answer

Answer:

D. y=-3/4x

Step-by-step explanation:

because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)

Step-by-step explanation:

Degree is 6

Leading coefficient is 5

Constant term is 8

Answer:

57600 words in 12 hours.

Step-by-step explanation:

80 wpm means 80 words per minute.

We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.

We want to know how much words in 12 hours.

Given:

[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]

[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.

Answer: 57,600

Step-by-step explanation:

80 × 60 = 4800 in 1hr

4800 ×12 = 57, 600 in 12hrs

Answer:

r ≈ 2.23 cm

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

given C = 14 , then

2πr = 14 ( divide both sides by 2 )

πr = 7 ( divide both sides by π )

r = [tex]\frac{7}{\pi }[/tex] ≈ 2.23 cm ( to 2 dec. places )

It is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables.

The two-sample t-test is used to determine if two population means are equal.  The purpose of the test is to determine whether the difference between these two populations is statistically significant.

In this case, it is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables. Therefore,  it might be more appropriate to compare population medians instead of population means.

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Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.

A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.

The area of a rectangle is;

A = Length × Width

A = L × W

Given the data in the question;

To determine the area of the retcangle, we substitute our given values into the expression above.

A = L × W

A = 4.5cm × 3.25cm

A = 16.625cm²

Therefore, the area of the rectangle with the given length and width is 16.625cm².

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finish the question..............

Answer:

Part 1- Lydia

Step-by-step explanation:

The full question should be

Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?

the customer spent $13 if it's not 13 it's the closest answer too 13

Answer:

$0.85, or 85 cents.

Step-by-step explanation:

To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.

Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years