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

find the 55th term of the arithmetic sequence 11,21,31,...

Answers

11+(55-1)×10=551 just use the formula

What is the image of the point (-5,4) after a rotation of 270° counterclockwise
about the origin?

Answers

Answer:

A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

Step-by-step explanation:

find the missing value

Answers

We can write a ratio:

15/5 = 36/x

Let "x" equal the unknown part of the triangle.

Solution:

15/5 = 36/x

~Cross multiply

15x = 180

~Divide 15 to both sides

x = 12

Best of Luck!

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon? (5 points + Brainiest!)

a
31 miles per gallon
b
527 miles per 17 gallons
c
5.27 miles per gallon
d
1 over 31 miles per gallon

Answers

Answer:

d

Step-by-step explanation:

527 / 17 = 31

11. Susan was given the following number to convert to scientific notation: 12,050,000
Her answer was 1.25 x 107, but it was marked wrong on her paper. Why?

Answers

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Find the value of x in the triangle shown below help please!!

Answers

Step-by-step explanation:

Hey there!!

It 's so simple.

You remember common property of triangle. (i.e sum of interior angle of a triangle is 180°)

So,

77° + 31° + x = 180°

x + 108° = 180°

x = 180° - 108°

Therefore the measure of angle x is 72°.

Hope it helps....

Explain how solving -7y > 161 is different from solving 7y > -161

Answers

there are different negatives and positives

Answer:

Sample response:

Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

For exercise 1-3 find the coordinates of the midpoint of the segment with each pair of end points (12,-7) and (-6,15)

Answers

Answer:

The answer is

( 3 , 2)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(12,-7) and (-6,15)

The midpoint is

[tex]M = ( \frac{12 - 6}{2} , \: \frac{ - 7 + 15}{2} ) \\ = ( \frac{6}{2} \: , \: \frac{8}{2} )[/tex]

We have the final answer as

( 3 , 2)

Hope this helps you

Find the length of the base of the following pyramid, given the height of the pyramid is 211 meters and the angle of elevation of the base of the
pyramid is 62. Round to the nearest whole number. (4 points)
h = 211 m
62
length of the base

Answers

Answer:

224 meters

I took the test, and got it right.

Answer:

224 meters

Step-by-step explanation:

Have a great day!

Solve for h. -18+7h>12+9h

Answers

Answer:

[tex]h<-15[/tex]

Step-by-step explanation:

[tex]-18+7h>12+9h[/tex]

Add 18 to both sides:

[tex]-18+7h+18>12+9h+18[/tex]

[tex]7h>9h+30[/tex]

Subtract 9h from both sides:

[tex]7h>9h+30[/tex]

[tex]-2h>30[/tex]

Multiply both sides by -1 and flip the symbol:

[tex]\left(-2h\right)\left(-1\right)<30\left(-1\right)[/tex]

[tex]2h<-30[/tex]

Divide both sides by 2:

[tex]\frac{2h}{2}<\frac{-30}{2}[/tex]

[tex]h<-15[/tex]

(-4.5)to the power of 0

Answers

Answer:

-1

Step-by-step explanation:

The answer would be -1. Anything to the power of 0 will be 1. In this case because 4.5 is negative I’ll be -1.

What is the sum of the terms of the series 4 + 7 + 10 + . . . + 22?


91


43


104

Answers

Answer:

Is there a missing number? If there isn't the answer will be 43.

Answer:

the answer will be 43 np

(3,-7) and (4,0) distance formula

Answers

Answer: approximately 7.07

Step-by-step explanation:

The distance formula is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Since we are given teo points, we can plug them in and solve.

[tex]d=\sqrt{(4-3)^2+(0-(-7))^2}[/tex]       [parenthesis]

[tex]d=\sqrt{(1)^2+(7)^2}[/tex]                         [exponent]

[tex]d=\sqrt{1+49}[/tex]                                [add]

[tex]d=\sqrt{50}[/tex]                                      [square root]

[tex]d=7.07[/tex]

The distance is approximately 7.07.

Use the model to solve for x. A) x = 1 B) x = 3 C) x = 5 D) x =

Answers

Answer:

           D){?}    x = 7

Step-by-step explanation:

x + 3•(+1) = 2•x + 4•(-1)

x + 3  =  2x - 4

  -3         -3

 x  =  2x - 7

-2x      -2x

- x  =  -7

÷(-1)     ÷(-1)

  x = 7

plzz help me with this

Answers

Answer:

84

Step-by-step explanation:

4*6*7/2=84

plz help!!!! (click on the pic)

Answers

Answer:

x^2+8x

Step-by-step explanation:

instructions included above :)

Answer....

[tex] \boxed{ {x}^{2} + 8x}[/tex]

[tex] \boxed {\tt{Step-by-step \: explanation:-}}[/tex]

(6x²+10x-1)+(-5x²-2x+1)

=6x²+10x-1-5x²-2x+1

=6x²-5x²+10x-2x-1+1

=x²+8x

A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. What is the location of the submarine compared to sea level?

Answers

Answer:

225 feet

Step-by-step explanation:

-245 plus -83 then add 103

16) Amari ran three-quarter the distance Mary did. Amari ran 12 miles. Write and solve an equation that represents how far Mary​

Answers

Answer:

Step-by-step explanation:

Amari ran 3/4 distance Mary ran

A = 3/4  M

Amari ran 12 miles

12 = 3/4 M                Multiply by 4

12 * 4 = 3*M              Combine    

48 = 3M                   Divide by 3

48/3 = M

M = 16

So Mary ran 16 miles.  

Which number line shows the points −12/5 and –2.8?

Answers

The answer will be a

The number line that shows the points −12/5 and –2.8 is Option A.

What is a number line?

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

The given numbers are: −12/5 and –2.8

As we can re-write -12/5 in decimal form= -2.4

Now, we need to mark the number on the number line.

As the number -2.4 lies between -2 and -3 on the left side of zero.

and, -2.4 lies between -the numbers 2.5 and -3.0 on the left side of zero.

Learn more about number line here:

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how do u find the b in y=mx+b plz help

Answers

Answer:

b = y - mx

Step-by-step explanation:

Given

y = mx + b ( subtract mx from both sides )

y - mx = b

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 7148 employees at the company and wants to conduct a systematic sample of size 70.

Answers

Answer:

The answer is "K= 102"

Step-by-step explanation:

Given:

Number of employees = 7128

sample size =70

k=?

Formula:

[tex]\to K= \frac{\text{Number of employees}}{\text{sample size}} \\\\[/tex]

        [tex]= \frac{7148}{70} \\\\= 102.11\ \ \ \ or \ \ \ 102[/tex]

what is 11+15+11+15+11+15+11+15+11+15+11+15+11+15 simplified

Answers

the correct answer is 182

Answer:

182

Step-by-step explanation:

You add all of them together and you will get the same answer if you would simplify it i simplified it

The original temperature is 29.9 the temperature decreases by 8.7 and then again by 17.8 what is the final temperature?

Answers

Answer:

the final temperature is 39.0

find the initial value seventeen years from now, Ms. speedis car, which is depreciating at 20% per year, will be worth $500

Answers

Answer:

Around 22200 dollars

Step-by-step explanation:

Firstly, it was depreciating 20% per year for 17 years. So, if we were to go back in time, it would be appreciating by 25%. Therefore, after doing the plugging in, it is 500 * 1.25^17. The initial value is around 22200. It is around 22204, to be exact.

How do you do #14abc?

Answers

Answer:

220 10 4

Step-by-step explanation:

PLEASEEEE HELP URGENT

Answers

Answer:

7.1 cm

Step-by-step explanation:

The diagonal of a cube connects two opposite corners.

You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.

Let the length of the edge be s.

a^2 + b^2 = c^2

[tex] s^2 + 10^2 = (\sqrt{150})^2 [/tex]

[tex] s^2 + 100 = 150 [/tex]

[tex] s^2 = 50 [/tex]

[tex] s = \sqrt{50} [/tex]

[tex] s = 5\sqrt{2} [/tex]

s = 7.1

Answer: 7.1 cm


1. Order the steps to show how to solve the equation2(4x − 11) + 9 = 19
 Divide each side by
 Divide each side by
 Add 11 to each side.
 Subtract 9 from each side.

2. Solve the equation. 10x + 2 = 32 x =
3. Solve the equation. 19 − 4c = 17 c =
4. solve the equation. 1.1x + 1.2x − 5.4 = −10 x =

6. solve the equation. 6(5 − 8v) + 12 = −54 v =

Answers

Answer:

Question: 1

 Subtract 9 from each side.

 Divide each side by 2

 Add 11 to each side.

 Divide each side by 4

Question: 2

10x +2 = 32

10x = 30

x = 3

Question: 3

19 -4c = 17

-4c = -2

c = 1/2 or 0.5

Question 4:

1.1x + 1.2x -5.4 = -10

2.3x = -4.6

x = -2

Question: 6

6(5 − 8v) + 12 = −54

6( 5 - 8v ) = -66

( 5 - 8v ) = -11

-8v = -16

v = 2

Step-by-step explanation:

how do you add and subtract decimals??

Answers

Answer:

add ans subtract like normal

Step-by-step explanation:

Step-by-step explanation:

To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up. Put in zeros so the numbers have the same length .Then add, using column addition, remembering to put the decimal point in the answer.

subtraction also in the same way only place the large no up and small down and do subtraction.

I hope this helps....

Through; (4,-1), parallel to y=-2/5x+3​

Answers

Step-by-step explanation:

I'm sorry but what is question? You're just saying a coordinate and a line equation.

¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2

Answers

Answer:

A0.15

Step-by-step explanation:

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