A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible lengths of the legs?

Answers

Answer 1

Answer:

The possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Step-by-step explanation:

We are told the above Triangle is not an Isosceles Triangle

Hence, we assume it is a right angle triangle

The area of a triangle is = 1/2 × Base × Height

= let us represent Base and Height = x

Hence:

1/2 × x × x = 98

x² /2 = 98

Cross Multiply

x² = 98 × 2

x² = 196

Step 2

We find the factors of 196

1× 196 = 196 (1, 196)

2 × 98 = 196 (2, 98)

4 ×49 = 196 (4, 49)

7 × 28 = 196 (7, 28)

Therefore, all the possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)


Related Questions

At the shop , there were 4 1/10 kg apples and 6 3/4 kg of oranges . If cumtomers bought 7 3/5 kg of apples and oranges , how many kg of apples and oranges were left

Answers

Answer:

3 1/4

Step-by-step explanation:

total kg of apples and oranges in the store =

[tex]4\frac{1}{10} + 6\frac{3}{4}[/tex]

[tex]10\frac{4+30}{40}[/tex]

[tex]10\frac{34}{40}[/tex]

kg left after the sales

[tex]10\frac{34}{40} - 7\frac{3}{5}[/tex]

[tex]3\frac{34 - 24}{40}[/tex] = [tex]3\frac{10}{40}[/tex]

To transform to the simplest form. divide both the numerator and the denominator by 4

3 1/4

En una tienda de ropa vas a comprarte una pantalones que están de 150 a 90 euros y una camiseta de 40 a 24 ¿ tienen el mismo porcentaje de rebaja ?

Answers

Respuesta:

Sí, tienen el mismo descuento del 40%

Explicación paso a paso:

Dado :

PANTALÓN :

Precio inicial = 150

Precio con descuento = 90

Porcentaje de descuento en el precio:

(150 - 90) / 150 * 100%

60/150 * 100%

0,4 * 100

= 40%

CAMISA:

Precio inicial = 40

Precio con descuento = 24

Porcentaje de descuento en el precio:

(40-24) / 150 * 100%

16/40 * 100%

0,4 * 100

= 40%

Sí, tienen el mismo descuento del 40%

WILL REWARD BRAINLIEST! Is segment AB tangent to circle O shown in the diagram, for AB = 8, OB = 3.75, and AO = 10.25. Explain your reasoning and show all work in your own words.

Answers

Answer: look at the picture, it going to take my long to write so I give you a picture. In the picture it my work done for you.

Step-by-step explanation: Hope this help :D

Don't worry it's not a virus just listen to it it's cool

Answers

Answer:

I dunno if i typed it wrong it says video unavailable.

Step-by-step explanation:

The image below is a kite. Find the value of x.

Answers

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

As shown, several colored paper squares are placed in a bowl. One paper square is randomly selected. Is this a uniform or non-uniform probability model? Justify your reasoning. A) It is a uniform probability model because each color has an equal chance of being selected. B) It is a non-uniform probability model because each color has an equal chance of being selected. C) It is a uniform probability model because each color does not have an equal chance of being selected. D) It is a non-uniform probability model because each color does not have an equal chance of being selected.

Answers

Answer:

B it is a non-uniform probability model because each color has an equal chance of being selected

Step-by-step explanation:

Developing a uniform probability model by assigning equal probability to all. If we select one student at random from the ten, is that a uniform then student name or grade level or color of their shirt or shoe size or different that the probability model uniform is different so that means the model is a non-uniform

Find c. Round to the nearest tenth:

Answers

Answer:

c=56.3

Step-by-step explanation:

Sorry for the bad writing and diagram haha

the sum of -4 and a number is equal to -48 what is the number
a. -12
b. -44
c. 12
d. -52

Answers

Answer:

-44(b)

Step-by-step explanation:

-4+x=-48

add 4 to both sides

x=-44

54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10​
LINKS WILL BE REPORTED NOT HAVING IT

Answers

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

What is the value of the y-coordinate of point A

Answers

Answer:

there's no pic

Step-by-step explanation:

can you re attach it plz I might be able to help

can someone help with this

Answers

Answer:

14.0

Step-by-step explanation:

[tex] \cos(38) \: = \: \frac{11}{x} \\ x \cos(38) \: = \: 11 \\ x \: = \: \frac{11}{ \cos(38) } \\ x \: = \: \frac{11}{0.788} \\ x = 13.99 \\ x = 14.0[/tex]

Juan compro un plasma en cuotas que costó $8000 si le faltan pagar 3 cuotas y ya pagó $6500 ¿cual es el valor de cada cuotas fijas?

Answers

Answer:

El valor de cada cuota fija es de $500.

Step-by-step explanation:

Para encontrar el valor de cada cuota fija, puedes calcular la diferencia entre lo que Juan ha pagado y el valor que costó el plasma para saber cuál es el monto que aún debe. Después, debes dividir la cantidad que aún debe pagar entre tres que es el número de cuota pendientes para encontrar el valor de cada cuota teniendo en cuenta que son fijas:

8000-6500=1500

1500/3=500

De acuerdo a esto, la respuesta es que el valor de cada cuota fija es de $500.

A shirt is originally priced at
$
24.50
. The shirt goes on sale for
30
%
off the original price. How much money, to the nearest cent, does the shirt cost including
7
%
tax on the sale price?

Answers

Answer:

$18.35

Step-by-step explanati

Your Welcome

You and your brother had a cookie bake-off! You made a dozen cookies each with a circumference of 10 inches and your brother made a dozen cookie bars with a perimeter of 10 inches. Who used more cookie dough? Assume the cookies are the same thickness.

Answers

Answer:

Your brother (I think i'm right)

Step-by-step explanation:

Perimeter is bigger than circumferance if same "length"

you’re brother used more cookie dough!!

Solve for i

3 (.5i - 6 ) = 12

Answers

Answer:

15i-18=12

15i=12+18

15i=30

i=30/15

i=2

What is the slope of a line that goes through (3, -2) and (-2, 5) ?

Answers

Answer:

-7/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

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

m=(5+2)/-5

m=7/-5

***YOU WILL EARN 35 POINTS IF YOU ANSWER THIS ***

Answers

Answer:I’m not sure maybe the 2nd one!:))Mahelps a lot!!

Answer:

The answer is B. 10^3

simplify using laws of exponents. Write your asnwer using positive exponents​

Answers

Answer: look at image below. it shows you the steps

Step-by-step explanation:

Hope this helped :)

HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW

Answers

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Combine like terms to determine which expression with 2 terms is equivalent to 5x + 16y + 8x + 2y.

Answers

Answer:

you look for the same variables with the same powers

y: 16y +8y = 24y

x: 8x - 7x = x

y^2: 2y^2

and sum it all together at the end

Step-by-step explanation:

Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

Help MATH please EEEEE

Answers

Y=mx+b
Where m is the slope and be is the intercept

From the graph you can conclude the y intercept is 1

The slope is rise/run
From the graph you can see that the point goes up1 and right 1

So the equation will be

Y=1/1x+1 which can be rewritten as
Y=x+1

exponential function b^y=x can be expressed as

Answers

Answer:

[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]

Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H

Answers

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

David reads this advert on his country council website 70% of the area of woodland in the country is native woodland this means there are 350km squared of native woodland in the country work out the area of woodland in the country that is not native woodland

Answers

-349.3 i think u didnt show the answers we choose from /my answer probably wrong i was assuming.

Explain how you will evaluate 4[ 3(62+1)] - 63

Answers

Answer:

693

Step-by-step explanation:

You can simply apply BODMAS(Bracket of Division Multiplication Addition Subtraction)

Here, the brackets come first

62+1=63

63*3=189

189*4=756

756-63=693

Answer:

720

Step-by-step explanation:

First you do the things inside the parenthesis which is 62 + 1 = 63

Which gives you this  -----> 4[ 3 x 63]-36

Then do the brackets (brackets are these btw "[ ]" )

After doing the brackets you should bet this 4 x 189 - 36

Then you do the multiplication -----> 756 - 36

756 - 36 = 720

A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.

Answers

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Help please! No links!

In a third grade class, students are measuring each other's heights and recording the data.

If they decide to also include their teacher's height, how would this affect the mean of their data?

A. It will have no effect on the mean.

B. It will increase the mean.

C. It will decrease the mean.

D. It will remove the mean.​

Answers

Answer:

A option is your answer bro

Answer:

Step-by-step explanation:

B it will increase the mean because the teachers height is a lot more than the 3rd graders.

hope that helps!

can you choose me brainliest? :D

Which of the following is the solution to the equation 64^(z+4) = 1024

Answers

2^(6*(z+4)) = 2^10

6z + 24 = 10
z = -7/3

Jacob sold 40 candy bars and made $65. He sold two types of
bars - chocolate for $2 each and peanut butter for $1 each.
How many of each type of candy bar did Jacob sell?

Answers

Answer:

Jacob sold 25 bars - chocolates and 15 peanut butter.

Step-by-step explanation:

Jacob sold 40 candy bars.

Let the bars - chocolate be x and peanut butter be y and made $65.

Now,

x + y = 40 ...(1)

2x + y = 65 ...(2)

Now, From equation (1) we get,

x + y = 40

x = 40 - y

Now, put the value of x = 40 - y in equation (2) we get,

2x + y = 65

2(40 - y) + y = 65

80 - 2y + y = 65

y = 80 - 65

y = 15

Now, put the value of y in equation (1)

x + y = 40

x + 15 = 40

x = 40 - 15

x = 25

The bars - chocolate = x = 25 and

peanut butter = y = 15

Thus, Jacob sold 25 bars - chocolates and 15 peanut butter.

-TheUnknownScientist

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