B
D
E
С
3
In the figure above, tan B
If BC = 15 and DA = 4, what is the length of DE

BDE3In The Figure Above, Tan BIf BC = 15 And DA = 4, What Is The Length Of DE

Answers

Answer 1

Answer:

Step-by-step explanation:

{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.

Answer 2

The length of segment DE in the given triangle is 6 units.

What are trigonometric ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Given that, a right-angled triangle ABC, with a segment DE, where tan B = 3/4, BC = 15 and DA = 4

Since, tan B = 3/4

Cos B = 4/5

Cos B = AB / BC

therefore,

4/5 = AB / 15

AB = 12

BD = AB - AD = 12-4

BD = 8

Now, Tan B = 3/4

DE / BD = 3/4

DE / 8 = 3/4

DE = 6 units

Hence, the length of segment DE in the given triangle is 6 units.

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Related Questions

f - 18 > 92

I need help fast​

Answers

Answer:

F>110

Step-by-step explanation:

I went to Half Priced Books and purchased 15 books. I paid $2 each for some and $3 each for the rest of the books. How many $2 books did I buy if I spent $34?

Answers

Answer:

Thus the number of books at $2 is 9 books.

Step-by-step explanation:

The number of the book purchased = 15 books

Total amount spend to buy the books = $34

The prices of books are $2 and $3.

Let the number of books purchased at price  $2 = x

Let the number of books purchased at price  $3 = y

Now we have to find the number of books that is bought at $2.

Below are the equations.

x + y = 15

2x + 3y = 34

Now solve for the x,  

x + y = 15

y = 15 – x

Now insert it in the 2x + 3y = 34

2x + 3(15-x) = 34

2x + 45 – 3x = 34

-x = 34 – 45

x = 9

Thus the number of books at $2 is 9 books.

A clothing store features Shirts and Pants in the ratio of 3:6. There are 42 more Shirts than pairs of pants. How many articles of clothing are in the store?

Answers

Answer:

126

Step-by-step explanation:

The ratio of shirts to pants = 3:6. Which also equals 1:2.

Let the pairs of pants = t

Since there are 42 more shirts than pair of pants, shirts = t + 42

Number of pairs of pants is t.

Number of shirts = (t + 42)

The number of the pairs of pants is 42.

The number of shirts is 84.

Total number of clothings is 126.


Which two binomials in part A didn't have an equivalent factored form? What made these expressions different from the
three that you could factor?
The two that didn’t have equivalent factored forms were x^2+16 and 16x^2+9

Answers

Answer:

The binomials 16x2 + 9 and x2 + 16 didn’t have an equivalent factored form. Both are sums of perfect squares instead of differences.

Step-by-step explanation:

Official answer

How many thousands are in 4 hundread thousand and 4 tens?

Answers

4 hundred thousand are in it simple!

Answer:

400

Step-by-step explanation:

400,040 has 400 thousands.

Which choices are correctly written in scientific notation? Check all that apply
17.1 times 10 Superscript 3
8.05 times 10 Superscript 3
6.25 times 4 Superscript 3
4 times 10 Superscript negative 16
22.09 times 10 Superscript negative 9
3.03 times 10 Superscript negative 1
5 times 10 Superscript 10
3.44 times 1 Superscript 10

Answers

8.05 times 10 Superscript 3 22.09 times 10 Superscript negative 9 5 times 10 Superscript 10 3.44 times 1 Superscript 10

Name the plane represented by the top of the box.

Answers

Answer:

BCD

Step-by-step explanation:

The top rectangle is ABCD because of its vertices.  BCD is included in it.

The top plane represented by the BCD

What is plane?

In geometry, a plane is a flat surface that extends into infinity. It is also known as a two-dimensional surface. A plane has zero thickness, zero curvature, infinite width, and infinite length. It is actually difficult to imagine a plane in real life; all the flat surfaces of a cube or cuboid, flat surface of paper are all real examples of a geometric plane. We can see an example of a plane in which the position of any given point on the plane is determined using an ordered pair of numbers or coordinates. The coordinates show the correct location of the points on the plane.

As, per the figure we can say that the upper plane is made of plane ABCD.

So, among all the option BCD will be correct because BCD is part of ABCD.

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Please help. What is the slope for #2?

Answers

Answer: -4

Step-by-step explanation:

To find the slope, you want to use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You can use any two points to solve. Let's use (-2,3) and (-1,-1).

[tex]m=\frac{-1-3}{-1-(-2)} =\frac{-4}{1} =-4[/tex]

Another way to tell is by looking at the arrows with a -4 written next to it. That also tells you what the slope is.

What is the value of x?

Answers

Answer:

98 degrees

Step-by-step explanation:

First, find the value of the other angle of the triangle.

180-53-45 = 82

Then, subtract from 180 to find x. We do this because they both lie on the same line.

180 - 82 = 98

PLEASE ANSWER ASAP
20 POINTS

Answers

x=7. The two segments on the bottom as well as on the diagonal are the same length. This shows that the entire triangle and the inner triangle on the right are similar. So if we call the length of the bottom 2y, then 84/2y=6x/y. Solving this we get 84=12x, and so x=7

square root of 229.7

Answers

Answer:

15.155857

Step-by-step explanation:

I used a calculator by typing [tex]\sqrt{229.7}[/tex]

15.1558 is the decimal answer from square root of 229.7

Employer A is offering you a position for $35,000 per year. Employer B is offering the same job for $18.00 per hour. Assuming both jobs require a 40-hour work week for 52 weeks, which job pays more?

Answers

Answer:

employer b

Step-by-step explanation:

he is offering 37,440.

Answer:

B

Step-by-step explanation:

Write 6.384 to 1 decimal place

Answers

Answer:

6.384 rounded to one decimal place is 6.4

Step-by-step explanation:

The number rounded to one decimal place is 6.4.

What is rounding off a number?

To change a number into an approximation having fewer significant digits.

Given that, 6.384 to 1 decimal place,

Rounding 6.384 to one decimal place would be the same as rounding it to the nearest tenth.

The tenth in this number is 3. To round a number up, look at the number to the right of it - if the number is 5 or greater, then you increase the value of the number you're rounding by 1. If the number to the right of it is 4 or less, then the value of the number you're rounding stays the same.

In this case, the number we're rounding is 3 and the number to the right of it is 8. Since 8 is greater than 5, we have to increase the value of 3 by 1, which means that the number in the tenths position is now 4.

Hence, The number rounded to one decimal place is 6.4.

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Which of the following relations ia a function?
A
{(0,1), (0,2), (0,3), (0,4)}
B
{(1,6), (1,7), (7,8), (8,9)}
С
{(2,3), (3,2), (2,4), (4,2)}
D
{(1,1), (3,2), (6,3), (8,4)}

Answers

Answer:

i think the answer is c. hope it helps <3

Step-by-step explanation:

4) You are downloading songs for your mp3 player. Six songs cost $5.94. You want to buy 4
songs, how much would that cost? How much would it cost for 8 songs?

Answers

Answer:

4 songs: $3.96      8 songs: $7.92

Step-by-step explanation:

Divide to find out how much it costs for 1 song.

5.94 / 6 = 0.99      Each song costs $0.99

Now multiply $0.99 by (number of songs)

0.99 x 4 = 3.960.99 x 8 = 7.92

Name the subset(s) of real numbers to which each number belongs. Then order
the numbers from least to greatest.
9
10.-11.16

Answers

Answer:9,10,11,16

Step-by-step explanation:

9 is the least then 10 then 11 16 is the greatest

Which expression is equivalent to 3^8

Answers

Answer:

3x3x3x3x3x3x3x3

Step-by-step explanation:

Or three eight times :)

which of these numbers is between 2 and -3 on the number line

Answers

1, -1, -2 are numbers between 2 and -3

Which equation describes a relationship that is directly proportional?

Answers

Answer:

The equation for the proportional relationship is y = 2.8x. If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Step-by-step explanation:

I hope this helps you :)

ALGEBRA QUESTION THAT NEEDS ANSWER ASAP

Answers

A) 11.7

Step-by-step explanation:

sin 20/4=sin 87/c

sin 87×4=sin 20c

3.9945=0.3420c

c=3.9945/0.3420

c=11.7

Solve.

-15 = -0.2k

k =

Answers

-0.2k = -15 ( then divide -0.2k on both sides)

The answer is then k= 75

Which are vertical angels?

Answers

Answer:

Those angles are in opposite either in vertical or horizontal. They are opposite angles

A local car dealer is advertising a lease on a Ford Explorer. The upfront cost is $5000 with a monthly lease payment of $289. The cost equation is C = 5000 + 289x, where x is the number of payments. Which of the following statement is true?

A: C is an independent and x is a dependent

B; x is an independent and C is a dependent

C: 5000 is an independent and x is a dependent


D: 289 is an independent and 5000 is a dependent

Answers

Answer:

it is B

Step-by-step explanation:

hope this helps you.

Assume the Ziders continue to grow in the same pattern. How old would a Zider be that had 73 hairs?

Answers

Number of hairs in day 1 , a = 5.

Every day number of hairs increases by , d = 4.

So, it is an Arithmetic Progression with first term a = 5 and common difference d = 4.

So, number of hair in nth days is given by :

[tex]a_n=a+(n-1)d\\\\a_n=5+(n-1)4[/tex]

Let, after x days number of hairs are 73.

[tex]73=5+(x-1)4\\\\x-1=\dfrac{73-5}{4}\\\\x=18\ days[/tex]

Therefore, Zider is 18 days old.

Hence, this is the required solution.

ecaluate 4 to the 3rd power​

Answers

Answer: 64

Step-by-step explanation: 4 to the 3rd means 4 times itself three times.

So we have 4 · 4 · 4 which is 64.

What is the first step of the following division problem?

(8x3 – x2 + 6x + 7) ÷ (2x – 1)
Divide 8x3 by 2x.
Divide 2x by 8x3.
Divide 6x by 2x.
Divide 2x by 6x.

Answers

Answer:

Divide 8x^3 by 2x

Step-by-step explanation:

Here, we want to identify the first step to take in the polynomial division.

When working with a polynomial division, what to do is to divide the first term of the dividend by the first term of the divisor ( the divisor is arranged in descending powers of x)

The number we want to divide is the dividend, while the number we are using to divide is the divisor.

In this case, the first term of the dividend is 8x^3 while that of the divisor is 2x

The first step of the following division problem is to divide 8x³ by 2x

How to divide polynomials

Given:

(8x³ – x2 + 6x + 7) ÷ (2x – 1)

(8x³ – x2 + 6x + 7) is the divided

(2x – 1) is the divisor

Dividend is number or expression that is to be divided by another

Divisor is the number which is used to divide another.

The first step in the be division of polynomial is to divide the first term of the bc dividend by the first term of the divisor.

Learn more about polynomial:

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if L is parallel to M, find the value of each missing variable(s)

Answers

Answer:

5. x = 13

6. x = 11; y = 3

Step-by-step explanation:

5. (9x + 2)° = 119° (alternate interior angles are congruent)

[tex] 9x + 2 = 119 [/tex]

Subtract 2 from each side

[tex] 9x + 2 - 2 = 119 - 2 [/tex]

[tex] 9x = 117 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{117}{9} [/tex]

[tex] x = 13 [/tex]

6. (9x + 25)° = (13x - 19)° (corresponding angles are congruent)

[tex] 9x + 25 = 13x - 19 [/tex]

Collect like terms

[tex] 9x - 13x = - 25 - 19 [/tex]

[tex] -4x = -44 [/tex]

Divide both sides by -4

[tex] \frac{-4x}{-4} = \frac{-44}{-4} [/tex]

[tex] x = 11 [/tex]

(13x - 19)° + (17y + 5)° = 180° (linear pair)

[tex] 13x - 19 + 17y + 5 = 180 [/tex]

Plug in the value of x and solve for y

[tex] 13(11) - 19 + 17y + 5 = 180 [/tex]

[tex] 143 - 19 + 17y + 5 = 180 [/tex]

Collect like terms

[tex] 129 + 17y = 180 [/tex]

Subtract 129 from both sides

[tex] 129 + 17y - 129 = 180 - 129 [/tex]

[tex] 17y = 51 [/tex]

Divide both sides by 17

[tex] \frac{17y}{17} = \frac{51}{17} [/tex]

[tex] y = 3 [/tex]

the graphs show how many words per minute 2 students read

Answers

Answer:

Step-by-step explanation:

first student read 120 words words per minute.

second student read 185 words per minute.

185 word in the right graph
120 word in the left graph

2x=y=6
X+2y=-2
Solving system of equations

Answers

im assuming you meant 2x + y = 6 instead of 2x = y = 6

answer:
x = 14/3
y = -10/3

step by step explanation:
2x + y = 6
x + 2y = -2
solve for y in the first equation
y = 6 - 2x
plug y into the second equation
x + 2(6 - 2x) = -2
-3x + 12 = -2
-3x = -14
x = 14/3
plug into the y equation
y = 6 - 2(14/3)
y = -10/3

For his long distance phone service, Boris pays a $7 monthly fee plus 7 cents per minute. Last month, Boris's long distance bill was $17.45
For how many minutes was Boris billed?
I minutes
?
Answer is : 149 minutes

Answers

Answer:

149  minutes

Step-by-step explanation

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