pls do it fast


in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC. calculate area of triangle ABC.​

Answers

Answer 1

Answer:

solution :

in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC.

now ,

in rt angle tirangle ADC,

angleACD=45 degree, angle DAC=45 degree now,

in triangle ABD,

angle BAD+angleABD+angleADB=180 DEGREE (sum of the sngle of triangle)

angle BAD+75+30=180

angle BAD=180-165      therefore,angle BAD=15

angle BAC =15+45=60

Area of triangle ABC=1/2×AB×AC×SIN 60

=1/2×10.2×14×√3/2

=61.83cm³ ans


Related Questions

38 points please help I will give bairnleast

Answers

Answer:

i believe the fist one is a and second is b

Step-by-step explanation:

lol hope it helped u

the second is the second option and the first one is the first option
hope this helped clarify c:

Read and analyze the problem below. Was the problem solved correctly? If
not, explain the error and answer it correctly in the box below.
Solve:
2x - 8+ 3x + 2 = 4x+10+ 3x - 6
Student Work:
2x - 8+ 3x + 2 = 4x+10+ 3x - 6
5x - 6 = 7x +16
- 5x -5x
-6 = 2x +16
-16 -16
-22 = 2x
2 2
-11= x

Answers

Answer:

no(double check my math!!)

Step-by-step explanation:

on the second step it should be 4 not 16 bc 10-6=4

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

-6=2x+4

-10=2x

-5=x

6th grade math help me plzzzz

Answers

Answer:

n=-3.1

Step-by-step explanation:

To solve this, first subtract 3 from both sides of the equation to get 2n=-6.2. Next, divide both sides of the equation by 2 n order to get the final answer of n=-3.1

7.4.5 practice problems math 7th grade

Answers

Did you post what you need help on? I can’t see it

help with this question!

Answers

Answer:

y=4x

Step-by-step explanation:

a proportional relationship has to cross through the origin and all of the other answers have y intercepts and if it has a y intercept then it will not pass through the origin.

Identifying Equivalent Expressions
Which expressions are equivalent to 7x - 14? Check all that apply.

14 - 7x
O x-2
-(14 – 7x)
7(x - 2)
3x - 14 + 4x
2x - 10 + 5x + 4
It is -(14-7x)
7(x-2)
3x-14+4x

Answers

Answer:

Option c, d and e are equivalent expressions to 7x-14

Step-by-step explanation:

Which expressions are equivalent to 7x - 14

Equivalent Expressions:

The expressions that are the same, even if the expression looks different.

For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4

Now, finding equivalent to expressions 7x - 14

Option a) 14 - 7x

Not equivalent to 7x-14

Option b) x-2

Not equivalent to 7x-14

Option c) -(14 – 7x)

Simplifying: -14+7x so, equivalent to 7x-14

Option d) (x - 2)

Simplifying: 7x-14 so, equivalent to 7x-14

Option e) - 14 + 4x

Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14

Option f) 2x - 10 + 5x + 4

Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14

So, Option c, d and e are equivalent expressions to 7x-14

What is the Y intercept pls help

Answers

Answer:

y- intercept = 1

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses.

This occurs when the x- coordinate is 0

From the table the point (0, 1 ) is where the graph crosses the y- axis

Then y- intercept = 1

How many rectangles of any size are in the diagram?

Answers

I counted 24 different rectangles

Answer:

29

Step-by-step explanation:

count the rectangles one by one :)

A line passes through the points (2, 10) and (0,4). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y =
X +

Answers

The slope is 6. That is the answer

PLEASE HELP ME OUT !!
create a table for y=-3x + 1

Answers

X. Y
0. 1
1. -2
2. -5
3. -8

Written as a simplified polynomial in standard form, what is the result when ( x + 2 ) 2 (x+2) 2 is subtracted from 7 x − 4 7x−4?

Answers

Answer:

-x²+3x-8

Step-by-step explanation:

Given polynomials are :

f(x) = (x+2)²

p(x) = 7x−4

We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.

p(x) - f(x) = 7x−4 - (x+2)²

We know that, (a+b)² = a²+b²+2ab

So,

p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))

= 7x−4 -(x²+4+4x)

= 7x−4-x²-4-4x

= -x²+3x-8

Hence, the result will be -x²+3x-8.

Of 10 students surveyed in school,7 picked summer as their favorite season.If the school has 350 students,how many can be expected to prefer summer

Answers

Answer:

245

Step-by-step explanation:

This is a ratio

7/10 = 70% = the kids who picked summer which leaves off as 30% for an unknown season

    7 : 10

245 : 350

The 7 is how many students chose summer, and the 10 is the number of students there are in general

The 245 is the number of students who chose summer, and the 350 is the number of students there are in general

All we had to do was see how many times 10 goes into 350, which is 35 times. So we multiply 10 by 35 and we get 350. Now whatever we do on one side, we need to do it to the other. So 7 times 35 gives us 245. And that's how I know that out of the 350 students there are in total, 245 of them chose summer.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

what is the remainder when (5x4 + 3x3 - 2x2 + 7x + 4) ÷ (x + 2)?

A. 38
B. 2
C. -2
D. 24

Answers

Answer:

A

Step-by-step explanation:

The answer is A.)38 using polynomial division

If a woman get 7000 dollars for every 3 hour how much will she make for 81 hours

Answers

Answer:

567000 dollars

Step-by-step explanation:

Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000

189000 I think .. maybe

Help me please its urgent!

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The question is asking the value of f(5). Put 5 where x is and do the arithmetic.

  [tex]f(x)=\dfrac{5x-15}{5}=x-3 \qquad\text{simplified}\\\\f(5)=5-3=\boxed{2}[/tex]

The range value of interest is 2.

Please help with this question.

Answers

Answer:

7/1000

Step-by-step explanation:

1 m = 1000 mm

Therefore,

Scale factor = 7/1000

When plotting points on the coordinate plane below, which point would lie on the y-axis??

Answers

Answer:

the second number

Step-by-step explanation:

EX:  ( -3, 2 ) the 2 would lie on the y axis because its the second number the x axis always comes 1st and the y axis 2nd

What is the measure of x and y?

Answers

Answer:

x=80 and y=30

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!

Find the slope of the line that passes through:
(2, 4) and (6, 12)

Answers

Answer:

Step-by-step explanation:

2

Answer:

4

Step-by-step explanation:

Slope is rise over run, but you can also find the slope between two points with this formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

12-4=8

----------

6-2=4

8/2=4

Triangle XYZ at X(–6,1), Y(4,0), Z(1,3) is reflected across the y-axis. What are the new coordinates of the triangle?

Answers

Answer:

X(6, 1), Y(-4, 0), Z(-1, 3)

Step-by-step explanation:

When reflecting an image across the y-axis, (i.e, across a vertical line at the position x = 0), All you need to do is negate the x coordinate of each point, so:

(-6, 1) becomes (6, 1)

(4, 0) becomes (-4, 0)

(1, 3) becomes (-1, 3)

Answer:

(6,1) (-4,0) (-1,3)

Step-by-step explanation:

A triangle with a base of 9 m has an altitude of 12 m which would give you the area of the tranigle

Answers

Answer:

A=54

Step-by-step explanation:

A=hb/2

h=12 b=9

12x9=108

108/2

54 Area=54

What is the result when 4x^3 + 18x^2 + 28x + 15 is divided by 2x + 3?

Answers

Answer:

98671

Step-by-step explanation:

46 + (-2k) a. for k =3 b.for k = 23 k = -2

Answers

9514 1404 393

Answer:

  a.  40

  b.  0

  c.  50

Step-by-step explanation:

a) 46 + (-2k) for k = 3 is ...

  46 + (-2(3)) = 46 -6 = 40

__

b) 46 + (-2k) for k = 23 is ...

  46 + (-2(23)) = 46 -46 = 0

__

c) 46 + (-2k) for k = -2 is ...

  46 + (-2(-2)) = 46 +4 = 50

CD is a median of triangle ABC and M is the
centroid. If CM = x +5 and CD = 5x + 1,
what is the value of x ?

Answers

Answer: a) [tex]\dfrac{13}{7}[/tex]

Step-by-step explanation:

Median: Line segment from one vertex of a  triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.

Centriod: Point of intersection of a triangle of its medians

.Also, it is [tex]\dfrac23[/tex] of the distance from vertex to the midpoint of opposite side.

Given:  CD is a median in triangle ABC and M is centriod.

[tex]\Rightarrow CM=\dfrac23 CD[/tex]

Since CM = x +5 and CD = 5x + 1

[tex]\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}[/tex]

Correct option is a)

Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change. (not all of the functions will be used)
y= 5/2x + 10
y= -1/2x + 1/2
y= 3/2x - 11/2
y= 1/2x - 2
y= 4/3x - 7/3
y=3/4x - 10

Answers

Answer:

to a function is increasing we have to find the slope of the function

the higher the slope the faster the growth

Step-by-step explanation:

slope = 5/2. which is 2.5slope 2 = -1/2 which is -0.5slope 3 = 3/2 which is 1.5slope 4 = 1/2 which is 0.5slope 5= 4/3 which is 1.33slope 6 = 3/4 which is 0.75

so the function in increasing order

y= -1/2x + 1/2

y= 1/2x - 2

y=3/4x - 10

y=4/3x -7/3

y=3/2x-11/2

y=5/2x +10

Answer:

4th box

last box

5th box

3rd box

1st box

Step-by-step explanation:


1) a -4 - b; use a = 6, and b = 1

Answers

Answer:

-23

Step-by-step explanation:

6×-4 -1.... (6)(-4)-1

-24-1.....-24-1

-23

An airplane flies at an altitude of 14,690 feet while a submarine is submerged at a depth of 521 feet below the surface of the ocean. What is the difference between these two elevations?

Answers

Answer:

15,211 feet

Step-by-step explanation:

According to the question,  given data are as follows:

Airplane altitude = 14,690 feet above

Submarine depth = 521 feet below

So, let the difference between these two elevation be d,

So, we can calculate difference by using following formula:

Difference = Airplane altitude + Submarine depth

By putting the value, we get

Difference = 14,690 + 521

= 15,211 feet

Imagine that you are given the graph of a brand new parent function, y = P(x), that you have never seen before. You are then asked to graph y = P(x) + 3. Explain how you would go about graphing this new function.

Answers

Answer:

You would move each point on y=P(x) up by three. Or add 3 to each y coordinate

Step-by-step explanation:

This is because we're not manipulating the value of x before it gets multiplied by P.

For example:

If x is set to equal 5 and P equal to 2, then the parent function would have a coordinate of (5,10) since 2(5)=10 but the new function would have a coordinate of (5,13) since 2(5)+3= 13 due to order of operations (2×5 =10, then we add 3).

Answer:

Step-by-step explanation:

Step 1:

Plot y=P(x) from x=-a to x=a with x=0 as the middle point of the distance between a and -a.

Step 2:

Add the value of +3 to each point of y=P(x), ie, y=P(x)+3 meaning that the graph y=P(x) will be pulled up three units on the y axis.

Work out the area of the trapezium ABDE.
9 cm
6 cm

Answers

Answer:DE = 4

AB = 30

Step-by-step explanation:

Answer:

30cm²

Step-by-step explanation:

AE/BD = CE/CD

9/6 = CE/8

CE = 9/6 x 8

CE = 12cm

DE = CE - CD

DE = 12 - 8 = 4 cm

½(6 + 9)4 = 30cm²

Stephanie put $80 in her bank account when she was 5
years old. The bank gave her a simple interest rate of 2.1%.
Does she have enough money to buy a TV for $1,000 after
leaving her money in the bank for ten years?

Answers

Answer:

Mynd44

Step-by-step explanation:

Here, we want to check if the amount of money saved is enough to

by a tv

Mathematically, we have the simple interest formula as follows;

I = PRT/100

I = (80 * 2.1*10)/100

I = 1680/1000 = 1.68

Hence, she will not have enough

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