Find the area of △LKJ.

Find The Area Of LKJ.

Answers

Answer 1

Answer:

[tex]A=600\: u^{2}[/tex]

The correct answer is letter c.

Step-by-step explanation:

The area equation of a triangle is given by:

[tex]A=\frac{bh}{2}[/tex]  (1)

Where:

b is the base

h is the height

Let's find first the angle MJK (α), using the tangent definition.

[tex]tan(\alpha)=\frac{24}{32}[/tex]

[tex]\alpha=tan^{-1}(\frac{24}{32})[/tex]

[tex]\alpha=36.9^{\circ}[/tex]

Now, if α = 37° then β (angle JLK) must be:

[tex]37^{\circ} + \beta + 90^{\circ}=180^{\circ}[/tex]

[tex]\beta=53^{\circ}[/tex]

Now, we can find the distance ML using again the tangent definition:

[tex]tan(\beta)=\frac{24}{ML}[/tex]

[tex]ML=\frac{24}{tan(53)}[/tex]

[tex]ML=18[/tex]

The base of the triangle LKJ will be:

[tex]b=32+ML=32+18=50[/tex]

Therefore, using equation (1) the area of △LKJ will be:

[tex]A=\frac{50*24}{2}[/tex]

[tex]A=600\: u^{2}[/tex]

The correct answer is c.

I hope it helps you!


Related Questions

Solve for x. 5:1::6:x

Answers

Answer:

Step-by-step explanation:

5/1 = 6/x

5x = 6

x= 6/5

Answer:

x

=

15

Step-by-step explanation:

What is the volume of a right circular cone with a radius of 3 units and a height of 6 units?​ pleas help asap

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Answer:

18 units

Step-by-step explanation:

Answer:

18 units

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Write the equation of the line in POINT SLOPE FORM that passes through the point
(1, -7) anu has slope of 4

Answers

Answer:

y+7=4(x-1)

Step-by-step explanation:

y-y₁=m(x-x₁)

m= 4

y- -7 = 4(x-1)

y+7=4(x-1)

what is
[tex]35 \sqrt{9} \div 7 \sqrt{3} [/tex]

Answers

25.98076. So welcome my friend

WILL MARK BRAINLIET IF GOTTEN RIGHTTT DONT ANSWER IF U DONT KNOWWW

Answers

Answer:

H

Step-by-step explanation:

sorry if im wrong

Answer:

H

Step-by-step explanation:

A translation from the point (3,2) 1 unit to the left and two units down leaves you at (2,0). A reflection across the y-axis leaves you at point (-2, 0). A 90 degree counterclockwise rotation about the origin leaves you at point (0,-2), which is also point H.

Josh and Bradley each bought a carton of milk. Their cartons were the same except that Bradley's carton was taller than Josh's. Each boy drank 1/4 of his milk carton. Did the each drink the same amount of milk? Explain.

Answers

Answer:

No

Because Bradley's carton is taller than Josh's, Bradley would drink more milk.

Let us assume that Bradley carton has 100 quarts . If he drank 1/4, he would drink 25 quarts of milk. If Josh carton is 80 quarts full of milk, he would drink 20 quarts of milk. this example shows that they would not drink the same amount of milk

Step-by-step explanation:

A taller carton would contain more ounces of milk.

pls help question is in picture

Answers

Answer:

30

Step-by-step explanation:

Form an equation

41+x+x+71+90=180

x= -11

Substitute

41+(-11)=30

I’m so confused help pls

Answers

Step-by-step explanation:

A: n(n+1) = 72

B

n^2 + n = 72

n^2 + n -72 =0

(n+9)(n-8) = 0

PLEASE HELP What is the y intercept of this line?

Answers

Answer:

I'm pretty positive its (0, 0)

The answer has got to be (0,0)

yall so fr help me out...so i have this one friend who i text and i would litterally text out a paragraph and all she would say is "oOp","I-", "dAnG", or "oOf" keep in mind she would only just say those words. what should i do and dont delete it

Answers

Answer:

OMG MY FRIENDS DO THE SAME EXACT THING

Step-by-step explanation:

But, all I do is be like "girl im gonna sl ap u if u dont say something else other than that"don't actually sl ap her no duh but that's what I do and they usually say something else after that id.k if that will help but it works for me

Jill was solving a system using the elimination method.After she added the equations together,she got 5=7.What does this mean for the system? Pls help!

Answers

Answer:

It means the system does not have a solution

Step-by-step explanation:

w Circumference (definition)​

Answers

Answer:

Definition: The enclosing boundary of a curved geometric figure, especially a circle.

Step-by-step explanation:

What is the distance between (3,7) and (-3,-1) ?

Answers

Answer:

The answer is 2,889 mi  Mark me brainliest if I'm right.

Step-by-step explanation:

What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?
O The points should form an upward curve.
O The points should be scattered randomly.
O The points should appear to lie generally along a line.
O The points should form one line above the x-axis and another below it.

Answers

on a scatter plot, the points are randomly placed around the graph

On a scatter plot, the points are randomly placed around the graph. The correct option is B.

What is a scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

A scatter (XY) plot is a vertical data visualization method for displaying the relationship between two sets of data. It is a graphical display of data that consists of a collection of points plotted in a two- or three-dimensional plane.

The locations of the points in a scatter plot are chosen at random. The best choice is B.

To know more about scatter plots follow

https://brainly.com/question/6592115

#SPJ6

Sofia drew a scale drawing of a theater. The stage, which is 48 feet long in real life, is 16
inches long in the drawing. What scale did Sofia use?
1 inch:
feet

Answers

First, you multiply 4 by 1. Then that's your answer, 4.  I hope it helped!

d = rt ; Solve for t

Answers

Answer:

T stands for time

Step-by-step explanation:

Answer:

[tex]t = \frac{d}{r}[/tex]

Step-by-step explanation:

[tex]d = rt\\\frac{d}{r} = \frac{rt}{r} \\\frac{d}{r} = t\\[/tex]

A cereal box has a length of 4 inches, a width of 5 inches,
and a height of 8 inches. What is the volume of the box?
Justify your answer

Answers

Answer:

160

Step-by-step explanation:

base x width x height = volume

4x5x8=160 in^3

That's all there is to volume of a box

Hope that helps :)

Answer:

160 yet it's supposa be in Cuboid e.g. 160cm3

Step-by-step explanation:

Volume=L×H×W

= 4×5×8

=160

WHICH EQUAL NEGATIVE 12?!

Answers

Answer:

just a and b

Step-by-step explanation:

3. Which of these is the correct
circumference in terms of pi (n)?
d=25
I
a) 251
b) 5071
C) 12.51
d) 6251

Answers

Circumference formula is 2pir
So r is half of d
R=12.5
So the circumstances is 25pi
I left it in terms of pi but none of the answer have pi?

NEED HELP FRERE BRAINLIST

Answers

Answer:

7.5

Step-by-step explanation:

[tex]a^2+b^2=c^2\\x^2+5^2=9^2\\x^2+25=81\\x^2=56\\\sqrt{x^2} =\sqrt{56} \\x=7.5[/tex]

how do i find a surface area of a triangle prism

Answers

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Hope it helps..

Have a great day

A membership price for the local pool went
from $80 to $60. What is the percent
change in membership cost?

Answers

I think the percent change would be 25%

Scientists are studying a bacteria sample. The function f of x equals 256. 1.15 to the x. gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function?

Answers

Answer:

the number of bacteria increases at a rate of 15% each day

Step-by-step explanation:

Given the function :

f(x) = 256(1.15)^x

The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :

f(x) = A(1 + r)^t

A = the initial value of the population, = 256

(1 + r),; r = growth rate

Therefore, to solve for r ;

1 + r = 1.15

r = 1.15 - 1 ; r = 0.15

Hence, growth rate = 0.15 = 0.15 * 100% = 15%

Hence, the number of bacteria increases at a rate of 15% each day

what's the value of x ?
[tex] {x}^{2} = 36[/tex]

Answers

Answer:

[tex]x = \sqrt{36} = 6[/tex]

Hope it helps

Have a good day Ahead

Solve the equation. Then check your solution.

Four-fifths + x = StartFraction 3 Over 7 EndFraction
a.
StartFraction 13 Over 35 EndFraction
c.
1 and StartFraction 8 Over 35 EndFraction
b.
Negative one-half
d.
Negative StartFraction 13 Over 35 EndFraction



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

D -13/35 ( negative 13/35 )

Step-by-step explanation:

4/5 + x = 3/7

Convert to equivalent fractions with a common denominator:

28/35 + x = 15/35

Subtract 28/35 from both sides

x = - 13/35

Answer:here's the answer for this question

Step-by-step explanation:edge2023

Someone help and plz make sure it’s right

Answers

the answer is b because 80+60=140, -7 and then divide by three you get 11

Answer:

x=11

Step-by-step explanation:

3x+7+60+80=180

3x+147=180

3x=33

x=11

Hope this helps :D

BTW 180 degrees is how many degrees in a triangle

A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.

Answers

Answer: 4.8 hours

Step-by-step explanation:

Given

The castle must be guarded 24 hr by 5 knights

If duty is split equally among them

No of hours spent by each knight on duty

[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]

Therefore, each guard must serve a duty of 4.8 hours

Type the statement or reason the fits in each box. Write your answer as a list. For example:
1. Addition Property of Equality
2. x+5=y+5
3. Simplifying

Choose from this word bank.
- Subtraction Property of Equality
- Given
- Substitution Property of Equality
- Segment Congruence Postulate
- Definition of midpoint

Answers

Answer:

df=eg is  Segment Congruence Postulate

de+ef=ef+fg is  Definition of midpoint

de+fg is given

En una tienda en la que todo está rebajado el 20% he comprado una casaca por la que he pagado 160 soles. ¿Cuál era el precio antes de la rebaja?

Answers

Answer:

200 soles

Step-by-step explanation:

De la pregunta anterior, se nos da un descuento del 20%.

Por lo tanto, la fórmula para resolver la pregunta anterior es:

Precio nuevo = Precio inicial - (Porcentaje de descuento × Precio inicial)

De la pregunta anterior,

Precio nuevo = 160 soles

Precio inicial = x

Porcentaje de descuento = 20% = 0.2

Por eso:

160 = x - (20% x x)

160 = x - 0.2x

160 = 0.8 veces

Dividir ambos lados por 0.8

160 / 0.8 = 0.8 / 0.8

x = 160 / 0.8

x = 200 soles

Por lo tanto, el Precio Inicial que es el precio antes de la venta es de 200 soles.

3. The Isaacs' car can go 30 miles on 1 gallon of gas. Write and solve an equation to
find g, the number of gallons of gas they use driving 450 miles.

Answers

Answer:

450/30 = 15 gallons of gas

Step-by-step explanation:

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