1. In the figure given below, < ABC and < BDC are right angles; If AB-5cm, AD = 3cm and BD = 4cm (3 points) find BC and DC ?

Answers

Answer 1

In the given figure, the length of BC is 6.66 cm and the length of DC is 5.33 cm

Trigonometry

From  the question, we are to determine the length of BC and DC

Considering the diagram,

First, we will determine the measure of angle A

Using SOH CAH TOA

We can write that

[tex]sin A = \frac{4}{5}[/tex]

sin A = 0.8

∴ A = sin⁻¹(0.8)

A = 53.13°

Now, we will determine the measure of angle C

∠A + ∠ABC + ∠C = 180° (Sum of angles in a triangle)

53.13° + 90° + ∠C = 180°

∠C = 180° - 90° - 53.13°

∠C = 36.87°

Also,

Using SOH CAH TOA

[tex]tan C = \frac{BD}{DC}[/tex]

[tex]tan36.87 ^\circ=\frac{4}{DC}[/tex]

[tex]0.7500 = \frac{4}{DC}[/tex]

[tex]DC = \frac{4}{0.75}[/tex]

DC = 5.33 cm

By the Pythagorean theorem,

/BC/² = /BD/² + /DC/²

/BC/² = 4² + 5.33²

/BC/² = 16 + 28.4089

/BC/² = 44.4089

/BC/ = √44.4089

/BC/ = 6.66 cm

Hence, the length of BC is 6.66 cm and the length of DC is 5.33 cm

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1. In The Figure Given Below, &lt; ABC And &lt; BDC Are Right Angles; If AB-5cm, AD = 3cm And BD = 4cm

Related Questions

what is 250/100 as a whole number?

Answers

Answer:

Unless im being completely braindead right now there isn't a whole number that works with this. When simplified its 5/2 or 2.5 but because it isn't an actual whole number (like 2, 4 and 6) they don't count.

Answer:

between two whole numbers 2 and 3 or just 3.

Step-by-step explanation:

The answer to 250/100 would be 2.5 but that is a decimal and not a whole number. You couod round 2.5 to 3 to make it a whole nunber or you say that it is in between two whole nunbers which are 2 and 3 if you are allowed to. (since 2.5 alone is not a whole number)

a store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. if he has 35 pounds of oolong tea that sells for 2.40 per pound, how much black tea worth 1.80 per pound must he mix with it so that he can sell the final mixture for 2.10 per pound

Answers

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of black tea worth 1.80 per pound to be mixed to get the final mixture for 2.10 per pound, hence:

2.4(35) + 1.8(x) = 2.1(x + 35)

x = 35 pounds

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

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There are 8 metal boxes of gold. Each box holds 625 pounds of gold. How many pounds of gold are in the 8 boxes?
pounds of gold
You may use the scratchpad or scratch paper to show your work.

Answers

Answer:

5000 lbs

Step-by-step explanation:

if there ae 8 boxes and each one has the weight of 625 you will need to ultiply 8 by 625 and that will be 5000 pounds

Multi choice choose the rule for the table year 8 level maths

Answers

Answer:

second option, x + 2y = 3

Step-by-step explanation:

The slope intercept form is y = mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The y - intercept is when x = 0

In the table its shown that (0, 3), y = 3 so b = 3

The slope (gradient) is a number that describes both the direction and the steepness of the line.

slope = rise / run = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

(x_1, y_1)   = coordinates of first point in the line

(x_2, y_2)  = coordinates of second point in the line

x is increasing by 1 (run)

y is decreasing by 2 (rise)

rise / run = -2 / 1 = -2

so the slope is -2

our slope intercept equation is, y = -2x + 3

Choice:

Some choice are in standard form so we need to convert to slope intercept

y = x + 3 is already in the correct form2x + y = 3 becomes y = -2x + 3

subtract 2x from both sides, 2x - 2x + y = 3 - 2x

x + 2y = 3 becomes y = -1/2x - 3/2

subtract x from both sides, x - x + 2y = 3 - x becomes 2y = 3 - x

divided both sides by 2, 2y / 2 = (3 - x) / 2

x - y = 0 becomes y = x

subtract x from both sides, x - x - y = 0 - x than switch signs

which option matches?!

THE SECOND ONE

A. Median
B. Perpendicular bisector
C. Angle bisector
D.altitude

Answers

Answer:

I belive c angle bisector

Grayson is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Answers

Answer:

155 Degrees

Step-by-step :

(Time x Rate of Temp) + Initial Temp = Final Temperature

Ex. (6 * 15) + 65 = 155 Degrees

Answer:

The temperature of the oven 6 minutes after being turned on is 155°

The temperature of the oven t minutes after being turned on is 15t + 65

Step-by-step explanation:

y=mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The y intercept is when x = 0, so the initial temperature

b = 65°

The slope is increase at a rate of per minute after being turned on.

m = 15°

The y coordinate will represent the temperature of the oven after a certain amount of minutes after being turned on

y

The x coordinate will represent the amount of minutes after the oven being turn on

x = t

combine:

What is the temperature of the oven tt minutes after being turned on?

y = 15t + 65

What is the temperature of the oven 6 minutes after being turned on?

t = 6 minutes

y = 15t + 65

y = 15(6) + 65

y = 90 + 65

y = 155

AND WELCOME TO BRAINLY!

please help i’ll give brainliest

Answers

The missing length in triangle A given the similarity between the two triangles is 18.67

Solving triangles using ratio

Triangle A is similar to triangle B

Triangle A:

Side 1 = (x + 2)Side 2 = 14

Triangle B:

Side 1 = 8Side 2 = 6

Ratio of side 1 to side 2 of the triangles respectively

(x + 2) : 8 = 14 : 6

(x + 2) / 8 = 14/6

cross product

(x + 2) × 6 = 8 × 14

6x + 12 = 112

6x = 112 - 12

6x = 100

x = 100/6

x = 16.67

Therefore, Triangle A:

Side 1 = (x + 2)

= 16.67 + 2

= 18.67

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Find the sum of the first 7 terms of the following series, to the nearest integer. 150,60,24...

Answers

Answer:

  250

Step-by-step explanation:

The sum of the terms of a geometric series is given by the formula ...

  Sn = a1×(1 -r^n)/(1 -r)

sum of n terms for first term a1 and common ratio r.

__

series sum

The given series has first term a1 = 150, and common ratio r = 60/150 = 2/5. Putting these values into the formula gives a sum of 7 terms that is ...

  S7 = 150×(1 -(2/5)^7)/(1 -2/5) = 150((77997/78125)/(3/5))

  S7 = 150×(25999/15625) = 249.5904

Rounded to the nearest integer, the sum of the first 7 terms is 250.

I need help asap please? and this is for the math question? what is the missing angle?

Answers

Answer:

the missing angle or the exterior angle is 120

Step-by-step explanation:

180-60=120

Answer:

90 degrees.

Step-by-step explanation:

The square symbol at the unlabeled angle means 90 degrees. Also, a triangle's interior angles equal 180. We already have 30 and 60, so 30+60=90. Now, subtract this from 180. 180-90=90. The answer is 90 degrees.

Hope this helps!

Twenty Three more than a number is 68 . what is the number​

Answers

Answer:

the answer is 45.

Step-by-step explanation:

45 + 23 = 68.

help with addition for child 324+423

Answers

Answer:

747

Step-by-step explanation:

Have a great day!!

Step-by-step explanation:

the answer for this is 747

Which operations can be applied to a matrix in the process of Gauss-Jordan elimination?

replacing a row with twice that row
replacing a row with the sum of that row and another row
replacing a row with three times another row
swapping rows
replacing a row with the absolute values of that row

Answers

Operations that can be applied to a matrix in the process of Gauss-Jordan elimination are options 1,2 and 4.

What is gauss Jordan's elimination?

Gauss-Jordan Elimination is a matrix-based technique for solving linear equations or determining a matrix's inverse.

When using Gauss Jordan elimination, the following operations may be carried out on a matrix:

1. Replacing a row with twice that row

2. Replacing a row with the sum of that row and another row

3. Swapping row

The optional row(or column) procedures that can be employed are:

1. Alternate any two rows (or columns)

2. Scalar multiples of one row (column) are added or subtracted from another row (column) occurs when a row is substituted with the sum of another row and that row.

3. Multiply any row (or column) fully by a nonzero scalar, as seen below by substituting a row with two rows.

Hence, Gauss-Jordan elimination includes options 1,2, and 4.

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What is the domain of the function graphed below?
OA.{x\x = −2,1}
OB. (x | x-2,-1, 1)
OC. {x|x-1,}
OD. {x|x-1, 1}

Answers

From the graph, the domain of the function will be {x| x = −2,1}. Then the correct option is D.

What is an asymptote?

An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.

From the graph, the domain of the function will be

The function is not defined for x = 2 and x = -1.

Then the domain will be

{x| x = −2,1}

Then the correct option is D.

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100 POINTS AND BRAINLIST

Answers

The answer could be c

Because the title of the table says the  dollar sales and how much it's increasing so my answer is c

Hope I helped!

TheOneAndOnlyLara~

Answer:

C.

Step-by-step explanation:

Hope it helped!

work out 4x10^8 x 5 x 10^-6 give your answer in standard form

Answers

Answer:

2 × 10³

Step-by-step explanation:

a number expressed in standard form is

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

4 ×[tex]10^{8}[/tex] × 5 × [tex]10^{-6}[/tex]

= 4 × 5 × [tex]10^{8}[/tex] × [tex]10^{-6}[/tex]

= 20 × [tex]10^{(8-6)}[/tex]

= 20 × 10²

= 2 × [tex]10^{1}[/tex] × [tex]10^{2}[/tex]

= 2 × [tex]10^{(1+2)}[/tex]

= 2 × 10³

Answer:

[tex]2.0 \times {10}^{3} [/tex]

is correct ans

Find equivalent expressions of 3+2x−9−4x+11+5x−x.

Answers

The equivalent expression of the given expressions is 2x + 5.

What are Expressions?

Expressions are statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is,

3 + 2x - 9 - 4x + 11 + 5x - x

There are like terms in the expression, which can be operated together.

Write terms with variables together and the constants together.

3 + 2x - 9 - 4x + 11 + 5x - x

= (2x - 4x + 5x - x) + (3 - 9 + 11)

= 2x + 5

Hence the given expression can be simplified to 2x + 5.

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What is the equation for this graph?

Answers

Answer:

hmm try multiplying every number at the top and then put them all together

then divide the answer u got and u have ur answer :)

Step-by-step explanation:

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?

Answers

Answer:

y=0.30x

Step-by-step explanation:

because the amount of money (the fee) will keep increasing with the multiplication of the amount of days

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ft. Find the length of the ladder if the length is 3 ft more than its distance from the wall.

Answers

Answer:15

Step-by-step explanation:

A ladder is resting against a wall.The top of the ladder touches the wall at a height of 9 feet.Find the length of the ladder if the length is 3 feet more than its distance from the wall.

Let the distance of the ladder from the wall be x

The length of the ladder = x+3

The ladder touches the wall at a vertical height of 9 feet.

(x+3)^2 = x^2 + 9^2 ( using the pythagoras theorem

x^2 + 6x+ 9 = x^2 + 81

x^2- x^2 +6x = 81-9

6x= 72

x= 12

Therefore the length of the ladder will be x+3 = 12 + 3 =15 Answer.

The graph of the fourth-degree polynomial function f (x) is shown in the coordinate plane below. Based on the graph, which of the following are linear factors of f (x). Select all that apply. A. (x - 2) B. (x - 3) C. (x + 2) D. (x - 5) E. (x + 1)

Answers

The linear factors of the function are the x-intercepts which are (x + 5), (x + 2), (x - 1) and (x - 6)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the graph of the function. The linear factors of the function are the x-intercepts which are (x + 5), (x + 2), (x - 1) and (x - 6)

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Taub went shopping for a new video game because of a sale. The price on the tag was $26, but Taub paid $23.40 before tax. Find the percent discount.

Answers

Answer:

10%

Step-by-step explanation:

(26-23.40)/26x100%

Answer:

10%

Step-by-step explanation:

what would i put in, in the blanks? please help, i don’t get this

Answers

Answer:

Parent function

[tex]f(x)=\log_2(x)[/tex]

Since we cannot take logs of zero or negative numbers, the domain is [tex](0, \infty)[/tex] and there is a vertical asymptote at [tex]x=0[/tex].

There are no horizontal asymptotes and the range is [tex](- \infty,\infty)[/tex].

The end behaviors of the parent function are:

[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow - \infty[/tex]

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]

To determine the attributes of the given function, compare the given function with the parent function.

Given function

[tex]f(x)=- \log_2(x)+5[/tex]

The given function is reflected in the x-axis.  Therefore, the end behaviors are a reflection of those of the parent function:

[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow \infty[/tex]

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow - \infty[/tex]

As the given function is translated vertically (5 units up) only, the domain, range and asymptote will not change, since the function has not been translated horizontally.

[tex]\textsf{Domain}: \quad (0, \infty)[/tex]

[tex]\textsf{Range}: \quad (- \infty, \infty)[/tex]

[tex]\textsf{Asymptote}: \quad x=0[/tex]

Conclusion

The function f(x) is a [tex]\boxed{\sf logarithmic}}[/tex] function with a [tex]\boxed{\sf vertical}}[/tex] asymptote of [tex]\boxed{x = 0}[/tex].  

The range of the function is [tex]\boxed{(- \infty, \infty)}[/tex], and it is [tex]\boxed{\sf decreasing}[/tex] on its domain of [tex]\boxed{(0, \infty)}[/tex].  

The end behavior on the LEFT side is as [tex]\boxed{x \rightarrow 0^+}[/tex], [tex]\boxed{f(x) \rightarrow \infty}[/tex], and the end behavior of the RIGHT side is [tex]\boxed{x \rightarrow \infty}[/tex], [tex]\boxed{f(x) \rightarrow -\infty}[/tex].

3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from point R to point U in between angle V R W.
Which pair of angles are vertical angles?

Answers

Answer:

  ∠TRV and ∠WRS  or  ∠TRS and ∠WRV

Step-by-step explanation:

Vertical angles are angles that share a vertex and have sides that are opposite rays. That is, the opposites of the rays that form one of the angles are the rays that form the other angle.

__

Where lines cross, two pairs of vertical angles are formed. In your diagram, those pairs are ...

  ∠TRV and ∠WRS . . . . one vertical angle pair

  ∠TRS and ∠WRV . . . . another vertical angle pair

_____

Additional comment

In this diagram, the ray RU is of no consequence with respect to any vertical angles. It can be ignored.

The vertical angles will each have one red ray and one blue ray as sides. These rays have end point R. No sides are shared.

(2.01)A polygon is shown on the graph:
If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Answers

Answer:

see picture for the coordinates

A’ = -2,-4

B’ = -3,-7

C’ = -1,-8

D’ = 1,-6

Step-by-step explanation:

add the translation coordinates to the original to get new coordinates

Answer:

Given translation:

4 units left3 units down

Therefore,

To translate a point 4 units left, subtract 4 units from the x-value. To translate a point 3 units down, subtract 3 units from the y-value.

⇒ (x, y)  →  (x - 4, y - 3)

Calculations

A (2, -1) ⇒ (2 - 4, -1 - 3) = A' (-2, -4)

B (1, -4) ⇒ (1 - 4, -4 - 3) = B' (-3, -7)

C (3, -5) ⇒ (3 - 4, -5 - 3) = C' (-1, -8)

D (5, -3) ⇒ (5 - 4, -3 - 3) = D' (1, -6)

Therefore, the new coordinates using prime notation are:

A' (-2, -4)B' (-3, -7)C' (-1, -8)D' (1, -6)

Which linear inequality is graphed in the figure

Answers

Answer:

A) y < 1/3x - 2

Step-by-step explanation:

What is the slope of the line graphed below?
(-2,2)
(3, 1)

Answers

Answer:

-1/5

Step-by-step explanation:

To find the slope, the formula is y2-y1/x2-x1

1-2/3-(-2) = -1/5

Answer:

‐1/5

Step-by-step explanation:

hope this helps!!!!

If $3700 is invested at a rate of 2.4% that is compounded annually, how much will it be worth after 4 years?​

Answers

The amount the money will be worth in 4 years is $4072.41

Compound interest

The formula for calculating the compound interest is expressed as;

A = P(1+r/n)^nt

Given the following

P = $3700

rate r = 2.4% = 0.024

n =12

t = 4 years

Substitute

A = 3700(1+0.024/12)^12(4)
A = 3700(10.024/12)^48

A =  3700(1.10065)

A= 4072.41

Hence the amount the money will be worth in 4 years is $4072.41

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Assuming that there are no hidden cubes, what is the front orthographic view of the diagram?

Answers

Answer:

the visible number of cubes is 7

Step-by-step explanation:

Assuming that there are no hidden cubes, the # of visible cubes is 7

30 points!!!
The dot plot below shows the hourly rate of some babysitters in a city:

A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars. The title of the line plot is Babysitting Rates.

Which statement best describes the shape of the data?

A. It is symmetric and has no gaps.
B. It is not symmetric and has a peak at $7.00.
C. It is a cluster from $1.00 to $7.00 and has no gaps.
D. It is a cluster from $1.00 to $7.00 and has a peak at $6.00.

Answers

From the given choices, the answer is option A: It is symmetric and has no gaps.

How can we describe a number line?

A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark.

The horizontal axis label is Dollar per hour.

There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars.

The title of the line plot is Babysitting Rates.

A dot plot is the same as a histogram but it uses dots instead of bars.

The dot plot as described by the problem is shown in the picture.

A bell shape is drawn for symmetrical data.

From the given choices, the answer is option A: It is symmetric and has no gaps.

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How many and what type of solutions does 5x^2-2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solution

Answers

Answer:

D) 2 nonreal solution

Step-by-step explanation:

Given

Quadratic trinomial

5x² - 2x + 6

In order to determine what kind of roots it has, we need to find the value of the discriminant:

[tex]D= b^2-4ac[/tex][tex]D = (-2)^2-4*5*6 =4-120 =-116[/tex]

Since the discriminant is negative, its square root is an imaginary number, hence there is no real solution.

Correct answer choice is D.

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