I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height

Answers

Answer 1

Answer:

18 square units

Step-by-step explanation:

When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.

Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...

A = 1/2bh

A = 1/2(6)(6) = 18 . . . . square units

_____

Alternate solution

If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.

The length of LK is ...

d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10

The distance to line LK can be found by writing the equation of the line LK in general form:

4x -3y -7 = 0

Then the distance formula for point (x, y) is ...

d = |4x -3y -7|/√(4^2 +3^2)

d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6

Using the area formula with these dimensions gives ...

A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units

Answer 2

Answer:

18 square units

Step-by-step explanation:

pls pls pls mark me as brainliest

Related Questions

find the maclaurin series of the given function f(x)=ln(1-x)

Answers

Answer:

[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

Step-by-step explanation:

1) the rule is:

[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]

2) according to the rule above:

[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]

finally,

[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

PLS HELP
The expression 46(1 + x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Match each description to the correct part of the expression.
Question 3 options:

The original price of the meal before tip was added.

The tip percentage written as a decimal.

1.
(1 + x)

2.
x

3.
46

Answers

1 + x = 46 (1+ x) your welcome <3

.. Write the number word of 0.036???

Answers

Answer:

zero point zero three six

What happens to the median of the data set below if the number 10 is added?

{2, 4, 8, 2, 7, 6, 18, 20, 24}

Answers

Answer:

The median goes up 0.5

Step-by-step explanation:

Before the number 10.

Mean x¯¯¯ 10.111111111111

Median x˜ 7

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 9

Sum 91

Quartiles Quartiles:

Q1 --> 3

Q2 --> 7

Q3 --> 19

Interquartile

Range IQR 16

Outliers none

After 10 is added.

Mean x¯¯¯ 10.1

Median x˜ 7.5

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 10

Sum 101

Quartiles Quartiles:

Q1 --> 4

Q2 --> 7.5

Q3 --> 18

Interquartile

Range IQR 14

Outliers none

It goes up .5.

You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.

Answers

Step-by-step explanation:

of course, we have to use Pythagoras.

c² = a² + b²

c is the Hypotenuse = the side opposite of the 90° angle.

and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?

I don't know from the description.

let's see what we get one way or the other :

assumption : the known sides are the "legs".

c² = 9² + 12² = 81 + 144 = 225

c = 15 ft

that is a nice number. so, it looks like that was the intention.

just to be sure, here also the other options :

9² = 12² + side²

81 = 144 + side² that makes side² negative, so, not valid.

12² = 9² + side²

144 = 81 + side²

63 = side²

side = sqrt(63) this is not a nice round number, so, we go with the first option.

therefore, the 3 sides are

9 ft, 12 ft, 15 ft

perimeter = 9+12+15 = 36 ft

area = baseline×height/2

since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.

area = 9×12/2 = 9×6 = 54 ft²

What is the slope? X 0,1,2,3 y -5,-1,3,7

Answers

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]

[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]

DIRECTION: Solve each proportion.

1. 6/15 = n/25
2. 3/5 = 21/n
3. n/12 = 15/30
4.3/n = 12/24n
5. 6/12 = n/72

plss help me :(

Answers

Answer:

1. n=10

2. n=35

3. n=6

4. n=0 ? not sure for this one. two variables in the proportion

5. n=36

Step-by-step explanation:

set each set of proportion equal to each other and do cross multiplication

hope this helps !

how are you ?

Answer:

10356636

Step-by-step explanation:

Answer:

7 = 7 * 10 = 70

Step-by-step explanation:

Answer:

• 1080

Step-by-step explanation:

How to Calculate Rounding to the Nearest Tens Whole Number?

If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.

Example:

1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030

[tex] \: [/tex]

10 minus one third of a number is 4

Answers

Answer:

x = 18

Step-by-step explanation:

10 - x/3 = 4

=> - x/3 = -6

=> -x = -18

=> x = 18

Hoped this helped.

Answer: 18

Step-by-step explanation:

10 -1/3y = 4

1/3y = 10 - 4

1/3y = 6

y = 6 x 3 = 18

What is the largest integer whose cube is less than 10,000?

Answers

Answer:

8 512 =8 X 8 X 8

Step-by-step explanation:

15/4= simplify it please

Answers

Answer:

[tex]The \: fraction \: \frac{15}{4} \: is \: equivalent \: to \: 3 \frac{3}{4 } .[/tex]

This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (4). So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction [tex]3 \frac{3}{4} [/tex]

The fraction [tex] \frac{15}{4} [/tex]

is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.

The fraction 15/4 is equivalent to 3 3/4.

Here, we have,

To simplify the fraction 15/4, you need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (4) and divide both the numerator and denominator by the GCD.

The GCD of 15 and 4 is 1 since there are no common factors other than 1.

Dividing both the numerator and denominator by 1, we get:

(15 ÷ 1) / (4 ÷ 1) = 15/4

This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denominator (4).

So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction 3 3/4.

The fraction 15/4 is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.

To learn more on fraction click:

brainly.com/question/10354322

#SPJ4

whats -2 - 19t if t=-1

Answers

Answer:

Step-by-step explanation:

-2 - 19 x -1

-2 + 19(because two negatives make a positive)

Answer:

17 is the answer.

Step-by-step explanation:

Given:

t = -1

Let's substitute.

=> -2 - 19t

=> -2 - 19(-1)

=> -2 - (-19)

=> -2 + 19

=> 17

Therefore, 17 is the answer.

Hoped this helped.

1. Value=206

2. Value=205

3. Value= 208

4. Value=207

You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)

Answers

Answer:

Do PRT: 5009.31

Step-by-step explanation:

Princable: 5000

Rate: 2.5

Time: 10

Answer:

Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12

Answers

Answer:

maybe it's 12 but i don't know...

how many units is -3 2/3 from zero on the number line

Answers

Answer:

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

Step-by-step explanation:

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.

Answers

Answer:

The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.

Paula's Pies is famous
for their apple pie. At
Thanksgiving, they receive
orders for 296 pies. If
Paula can prepare 8 pies
in 3 hours, then how many
hours will it take her
prepare the order?

(PLEASE MAKE THE WORK A RATIO TABLE!)

Answers

111 hours is the answer. Hope is help.

Sets of 8pies

296/8=37

No if time for 8pies=3h

No of time for 37 sets of 8pies:-

3(37)=111h

Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?

Answers

Answer:

Step-by-step explanation:

x+y=30 solve for x x=30-y

substitute x with 30-y and solve

11.25x+22.4y=515.9

11.25(30-y)+22.4y=515.9

337.5+11.15y=515.9

11.15y=178.4

y=16

since we're solving for just large candles it's 16

if need small cangle number 30-16=14

find the 99th term of the arithimic sequence 2, 5/2, 3, 7/2, ...

Answers

Answer:

99th term is 51

Step-by-step explanation:

Arithmetic sequence equation

a1= first term = 2

d= common difference = 0.5 or 1/2

2, 5/2 = 5/2 - 2 = 0.5 or 1/2

3 - 5/2 = 1/2

7/2 - 3 = 1/2

an = a1 + (n - 1)d

a99 = 2 + (99-1) 1/2

a99= 2 + 98 (1/2)

a99 = 2 + 49

a99 = 51

Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.

Answers

Answer:

Step-by-step explanation:

Not near enough information to know.

I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)

The pool shape is important as well. No mention of the shape

If the pool is circular and the walkway is 3 ft wide

the fence encloses a diameter of 110/π = 35 ft

so the diameter of the pool would be 35 - 2(3) = 29 ft.

POOL IS RECTANGULAR from comments

If the pool is square and the walkway is 2 ft wide, each side of the fence is

110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.

There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.

Edit from comments

Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.

Let's say that we are told the pool is 12 ft wide with 2 ft walkway.

Let L be the pool length

110 = 2(12 + 2(2)) + 2(L + 2(2))

110 = 32 + 2L + 8

70 = 2L

L = 35 ft

Write a number using the following clues:

a multiple of 6

greater than 40, but less than 90

Answers

Answer:

Step-by-step explanation:

There are various multiples of 6 that are greater than 40, but less than 90. Including 42, 48, 54, 60, 66, 72, 78, and 84. :)

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