Trigonometric ratios in rig triangles pls help

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

2nd problem

Angle ADE is congruent to ABC  because corresponding angles are conguent  when parallel lines cut by a transversal

Angle AED is congruent to ACB  because corresponding angles are conguent  when parallel lines cut by a transversal

Angle A equals angle A  by the reflexive property

When all three angles are equal, the triangles are similar.

We can use ratios to find BC

AD         DE 

------- = ----------

AB           BC

8            5 

------- = ----------

8+6           BC

Using cross products

8 BC = 5 (14)

8 BC =70

Divide each side by 8

BC =8.75

We can use ratios to find EC

AD         AE 

------- = ----------

AB           AC

8            4.2 

------- = ----------

8+6           4.2+EC

Using cross products

8 (4.2+EC) = 4.2*14

33.6 +8EC = 58.8

Subtracting 33.6

8EC =25.2

Dividing by 8

EC =3.15

Answer:

A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

My explanation -->

Step-by-step explanation:

Go over to the left on the -4 and up 5 times and mark a dot on it.

Next, go up half a mark from 0 and put a dot there.

Then, go over to the left between the -2 and -4 and go up 5 times.

Lastly, from the 0, go down half way until the next horizontal line and place a dot there.

Answer:

I KNOW IT!!^^

Step-by-step explanation:

All right the answer would be 2.5x+2y=? so basically since x represents the cost of one pound of apples and y represents the cost of one bag of lettuce i had 2 this 2 last year i hope this helped u!!^^

Answer: 3/50

Step-by-step explanation: I'm Smart, just trust me.

Answer:

3/50

Step-by-step explanation:

Since in the number 0.06 the 6, is in the 100's place, the fraction will be over 100.

You have 6/100

You still have to simplify that, divided by 2

3/50

Presumably we're being asked to solve the system.  

4x - 7y = 15

5x - 2y = 12

We don't really have any common factors among the coefficients of x, or among the coefficients of y, so we can do the general thing. To eliminate y multiply the first equation by (typically the absolute value of) the coefficient of y in the second equation and vice verse, then add or subtract equations to eliminate.  

First equation times 2:

8x - 14y = 30

Second equation times 7:

35x - 14y = 84

Subtract,

27x = 54

x = 54/27 = 2

2y = 5x - 12 = 10 - 12 = -2

y = -1

Answer: x=2, y = -1

Check:

4(2)-7(-1)=8+7=15, good

5(2) -2(-1) = 10 + 2 = 12, good

-----

If you do enough of these 2x2 linear systems you can learn to just write down the answer.  I usually remember the matrix inverse, but if you haven't gotten there you can just remember the pattern:  

ax + by = c    

dx + ey = f

has solutions

x = (ce-bf)/(ae-bd), y = (a f-cd)/(ae-bd)

4x - 7y = 15    

5x - 2y = 12

has solutions

denom = ae-bd = 4(-2) - (-7)(5) = 27

x = (15(-2) - (-7)(12))/27 = (-30 + 84)/27 = 2

y = (4(12)-15(5))/27 = (48-75)/27 = -27/27 = -1

Answer:

Step-by-step explanation:

4x-7y=15                          

Add '-7y' to each side of the equation.    

Add '2y' to each side of the equation.

5x + -2y + 2y = 12 + 2y

Combine like terms: -2y + 2y = 0

5x + 0 = 12 + 2y

5x = 12 + 2y

Divide each side by '5'.

x = 2.4 + 0.4y

Simplifying

x = 2.4 + 0.4y

4x + 7y + -7y = 15 + -7y

Combine like terms: 7y + -7y = 0

4x + 0 = 15 + -7y

4x = 15 + -7y

Answer: can you show the vocabulary better so I can tell u the anwsers

Step-by-step explanation:

Hence, there are 12 pieces of data in the given line lot, so there will be 12 dots.

Step-by-step explanation:

A line plot is a graph that shows frequency of data along a number line. It is best to use a line plot when comparing fewer than 25 numbers. It is a quick, simple way to organize data.

The main difference between a line plot and a line graph is that the line plot shows the frequency of number within a set, and the line graph shows the value of one variable relative to another.The number of dots  in a line plot will be equal to the number of data points.

Hence, there are 12 pieces of data in the given line lot, so there will be 12 dots.

Answer:

[tex]\frac{a^{2} }{10}[/tex]

Step-by-step explanation:

5*10 = 50. 50 = 25+25. The sqrt of 25 is 5, so 2 5's make 10.

The calculation of the product  [tex]a^2/5(10)[/tex] involves squaring the base 'a', then dividing by 5 and finally, multiplying by 10. The solution will depend on the given value of 'a'.

The question is asking for the product of [tex]a^2/5(10),[/tex] neglecting any typos. Here, we are assuming that the exponent 'a' in  [tex]'a^2[/tex]' is the base, which is usually a positive integer. Using the given values, the expression becomes:

[tex]10 \times (a^2 / 5)[/tex]

To simplify this expression, we first square the base 'a'. If for example, 'a' is equal to 5 (the square of 5 is 25), the expression can be rewritten as:

10 * (25 / 5)

The final calculation becomes: 10 * 5 equaling 50 as the final answer. Please note that this example is strictly for illustrative purposes and the solution will vary according to the provided value of 'a'. The concept underlying the problem is exponentiation, multiplication, and division.

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Answer:

1.    0.83 = 83%

2.    6.1% = 0.061

Step-by-step explanation:

The answer in number one is because when you're trying to find a percentage from a decimal, all you have to do is multiply your decimal by 100, this is because a percentage is always out of 100.

The answer in number two is exactly the opposite, all you have to do is divide by 100 if you are trying to find your decimal from a percentage.

The decimal number 0.83 is equivalent to 83% when expressed as a percentage, and the percentage 6.1% can be written as 0.061 when converted into a decimal.

To transform a decimal to a percentage, you need to multiply the decimal by 100. So, the statement 'The large tanks made up 0.83 of their sales last quarter' can be rewritten as 'The large tanks made up 83% of their sales last quarter'.

In order to transform a percentage into a decimal, you divide the percentage by 100. Therefore, the statement 'The kicker attempted 6.1% of the field goals he tried during away games' can be rewritten as 'The kicker attempted 0.061 of the field goals he tried during away games'.

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Answer:

7.87  × 10 ^6

Step-by-step explanation:

787,000 in scientific notation is 7.87 × 10⁶.

In Mathematics and Statistics, any numerical data (number) can be written in scientific notation as shown below:

[tex]a \times b^{n}[/tex]

Where

787,000 = 700,000 + 87,000

By counting the number of digits, we can logically deduce that they are equal to six (6). In this context, the given number can be written in scientific notation as shown below:

787,000 = 7.87 × 10⁶

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Answer:

[tex]a_{n}[/tex] = 4n + 3

Step-by-step explanation:

Note there is a common difference d between consecutive terms, that is

d = 11 - 7 = 15 - 11 = 19 - 15 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 4, thus

[tex]a_{n}[/tex] = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3

Answer:

The answer is B

Step-by-step explanation:

The answer is B on edg2020. Hope this helps. #classof2020

Answer:

The answer is B

Step-by-step explanation:

The answer is B on edg2020. Hope this helps. #classof2023

Answer: if i can get brainliest that would be great

x = Students

100=8(4)+x

Equation:

100=32+x

-32   -32

68=x

68 students are needed

Answer:

the answer is 92

Step-by-step explanation:

You have to subtract 8 students that signed up from the amount of students needed.

Answer:

1. How many hours do you spend on studying on Saturday?

2.How many hours do you spend on playing game on Saturday?

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

Statistical questions means that when you ask, you expect to have the variety of answers. Because each person will give different answer.

Two statistical questions that Evan could have asked to get his results are;

1. How many hours do you spend on studying on Saturday?

2.How many hours do you spend on playing game on Saturday?

Evan could not have asked a non-statistical question to get his results because there is only on answer and you expect the same answer from everyone you ask.

For ex: how many students spend 3 hours studying, the answer is only one, it is 2 in  Evan survey.

Answer:quadratic formula

simple method

Answer:

equation:

x^2 + x

answer:

5^2 + 7

i think thats right

i am not sure i had a similar question and this was my answer

Step-by-step explanation:

Rounded to the nearest hundredth, the volume of the sphere with a radius of 4 ft is approximately 267.95 cubic feet.

The formula for the volume V of a sphere is given by:

[tex]\[V = \frac{4}{3} \pi r^3\][/tex]

Given:

Radius r = 4 ft

Let's calculate the volume using the given radius:

[tex]\[V = \frac{4}{3} \times 3.14 \times 4^3\][/tex]

[tex]\[V = \frac{4}{3} \times 3.14 \times 64\][/tex]

[tex]\[V = \frac{4}{3} \times 200.96\][/tex]

[tex]\[V \approx 267.95\][/tex]

Look at the attached picture⤴

Hope it will help u..

Answer and Step-by-step explanation:

Whenever we have a fractional exponent, the numerator is always going to be the exponent, and the denominator will be the root.

Here, the numerator is 4, so we taking 343 to the fourth power. At the same time, since the denominator is 3, we are taking the cube root of 343. Thus, we can write the expression as:

[tex]\sqrt[3]{343^4}[/tex]

We want to simplify this. We need to complete both operations, but it doesn't matter what order we do them in. In fact, I would do the cube root first because that won't lead to gigantic numbers:

[tex](\sqrt[3]{343} )^4=7^4=2401[/tex]

Thus, the answer is, I believe, 2401 (although it's not in radical form, the problem asked for the simplified answer, which is this).

Hope this helps!

Answer:

the answer is c

Step-by-step explanation:

just took the test

Answer:

its a

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

12.57cm²

Step-by-step explanation:

Hopefully this helps :)

The area of a circle with a diameter of 4 cm is found by using the formula A = πr²  with the radius being half the diameter. After calculation, the area of the circle is 12.56 cm², which is rounded to 12.6 cm² to the nearest tenth.

The question requires us to find the area of a circle when given its diameter, which is 4 cm. To calculate the area, we will use the formula A = πr², but first, we need to determine the radius of the circle. As the radius is half the diameter, for our circle, the radius (r) is 2 cm (half of 4 cm). Substituting this value into the area formula:

A = πr²
= 3.14 × (2 cm)²
= 3.14 × 4 cm²
= 12.56 cm²
To provide the answer to the nearest tenth, we round the area to 12.6 cm². Therefore, the area of the circle is 12.6 cm²
when rounded to the nearest tenth.

Yes; inductive reasoning is a valid method for determining the terms of a sequence. Option D is correct.

Given that,
A, E, I, …

Jorge reasons that the next letter in the sequence is M since three letters of the alphabet are skipped between each listed letter. Should Marci agree with Jorge's inductive reasoning is to be determined.

Inductive reasoning is a form of definining determinations by proceeding with patterns specific to the usual. It's generally distinguished with deductive reasoning, there it proceeds from general knowledge to specific conclusions.

Here,

Jorge reasons that the next letter in the sequence is M in A, E, I, … since three letters of the alphabet are skipped between each listed letter.
And Yes, Marci agrees with Jorge's inductive reasoning is a valid method for determining the terms of a sequence.

Thus, Yes; inductive reasoning is a valid method for determining the terms of a sequence. Option D is correct.

Learn more about inductive reasoning here:
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To find the remainder when Marsha divides a+b by 35, substitute the values of a and b into the expression and simplify to find that the remainder is 163.

To find the remainder when Marsha divides a + b by 35, we need to consider the individual remainders when a is divided by 70 and b is divided by 105. Since Marsha gets a remainder of 64 when dividing a by 70, we can say that a = 70n + 64, where n is a positive integer. Similarly, since Marsha gets a remainder of 99 when dividing b by 105, we can say that b = 105m + 99, where m is a positive integer.

Now, substitute the values of a and b into the expression a + b and simplify:

a + b = (70n + 64) + (105m + 99) = 70n + 105m + 163

Now, divide a + b by 35 to find the remainder. Since both 70 and 105 are divisible by 35, we can simplify the expression further:

a + b = 35(2n + 3m) + 163

The remainder when dividing a + b by 35 is therefore 163.

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Answer:

1+7+8+8

Step-by-step explanation:

Answer:

1+7+8+8

Step-by-step explanation:

Answer:

About 12.68% increase

Step-by-step explanation:

Percent change can be found using:

difference between the values/original value

Difference:

The difference between 71 and 80

80-71=9

Percent Change:

difference/original

The difference is 9, and the original is 71

9/71= 0.12676056338

Convert to a percent by multiplying by 100

0.12676056338*100=12.676056338

Round the nearest hundreth: 12.68

About 12.68% increase

Answer:

12.67 percent

Step-by-step explanation:

To calculate percent change you use the following formula:

[tex]\frac{b - a}{|a|} * 100[/tex]

a = 71 (The first value)

b = 80 (The second value)

Plug the values into the formula.

[tex]\frac{80 - 71}{|71|} * 100[/tex]

[tex]\frac{9}{|71|} * 100[/tex]

[tex]0.1267 * 100[/tex]

[tex]12.67[/tex]

The percent change is 12.67 percent.

Hope this helped! :)

Answer:

a=12

Step-by-step explanation:

To solve, we need to isolate the variable, a

1/4a =3

To do this, divide both sides by 1/4, or multiply both sides by the reciprocal of 1/4: 4/1

4(1/4a)=3(4)

The 4 and 1/4 will cancel out

a=12

Answer:

a = 12

Step-by-step explanation:

1/4 a = 3

Multiply each side by 4

1/4a*4 = 3*4

a =12

Answer:

x = -6,6

Step-by-step explanation:

h(x)=−5x^2 +180

Assuming you want to find the zero's

0 =−5x 2 +180

Subtract 180 from each side

0-180=−5x^2 +180-180

-180 = -5x^2

Divide each side by -5

-180/-5 = -5x^2/-5

36 = x^2

Take the square root of each side

±sqrt(36) = sqrt(x^2)

±6 = x

x = -6,6

Answer:

-6, 6

Step-by-step explanation:

h(x) = -5x² + 180

-5x² + 180 = 0

x² = 36

x = -6, 6