A rectangle has dimensions 8 1/5 in by 13 in. A diagonal of the rectangle forms two matching right triangles. What is the area of one of the triangles.

The area of one of the triangle is ____ in.

A Rectangle Has Dimensions 8 1/5 In By 13 In. A Diagonal Of The Rectangle Forms Two Matching Right Triangles.

Answers

Answer 1

Answer:

53.3 in^2

Step-by-step explanation:

Given data

Base B= 13in

Height H= 8 1/5 in= 41/5in

The expression for the area of a triangle is

Area= 1/2 Base * Height

Substitute

Area= 1/2* 13* 41/5

Area= 6.5*41/5

Area= 266.5/5

Area= 53.3 in^2

Hence the area is 53.3 in^2


Related Questions

at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?

Answers

Answer:

Step-by-step explanation:

250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM

Chad is taking a taxi from the airport to his home. There is a $7 flat fee for riding in the taxi. In addition, Chad must pay $2 per mile. How much will Chad pay if he takes the taxi for 50 miles? Group of answer choices

Answers

Answer:

$107

Step-by-step explanation:

Total amount paid = flat fee + price per mile x total mile

$7 + 50($2) = $107

Help me with this!!!

Answers

Answer:

The coordinate of the midpoint is -2 1/2.

Step-by-step explanation:

Think of "midpoint" as "average" in this problem.  The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2

Solve for p: p2 + 36 = 13p.

Pls help​

Answers

Answer:

p=4

p=9

Step-by-step explanation:

Could anyone help me with this question? Thank you!

Answers

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]

First, we can factor both the numerator and the denominator. This yields:

[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]

Cancel like terms:

[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

[tex](n^2-2)(n^2-5)=0[/tex]

Solve for n. By the zero product property:

[tex]n^2-2=0\text{ and } n^2-5=0[/tex]

Therefore:

[tex]n^2=2\text{ and } n^2=5[/tex]

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]

Therefore, our fully simplified expression is:

[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]

Hence, our answer is C!

Determine the value of theta, to the nearest degree. Please show work.

Answers

Answer:

∅ = 22.33°

Step-by-step explanation:

tan 28° = h/15

0.5317 = h/15

h = 7.98

sin ∅ = h/21

sin ∅ = 7.98/21

sin ∅ = 0.38

∅ = 22.33°

Add the polynomials :)

Answers

Answer:

4x^3+6x^2-15x+6

Step-by-step explanation:

Answer:

[tex]4x^2 + 6x^2 - 15x + 5[/tex]

Step-by-step explanation:

Hello!

We can add like terms.

The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.

We can combine like terms by adding the coefficients.

Add[tex](6x^2 - 9x + 6)+(4x^3 - 6x)[/tex][tex]6x^2 - 9x + 6 + 4x^3 - 6x[/tex][tex]4x^3 + 6x^2 - 9x - 6x + 6[/tex][tex]4x^2 + 6x^2 - 15x + 5[/tex]

Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]

help me whit this please

Answers

Answer:

(5,-3) *red* i cant tell wht it says very well

Step-by-step explanation:

PLEASE HELP!
Please find the area of the composite figure. Number only please. Thank you!!

Answers

Answer:

47(whatever the unit is square)

Step-by-step explanation:

What is the solution or solutions to the equation x + 5 = 5x ?

Answers

Answer:

x = 5/4

Step-by-step explanation:

The solution or solutions to the equation x+5=5x is 5/4. It can also be written as 1.25. This is because you move the constant to the right-hand side and change its sign, then you collect like terms, divide both sides of the equation by -4.

five out of 12 apple trees in a small orchid are taller than 9 ft what is the decimal equivalent of the number of apple trees taller than 9 ft​

Answers

5/12 = .41666666666666666666

What is m Using the hexagon

Answers

it would be 132°

because all the angles on a hexagon together =720. so you will subtract each known angle to find the missing. 720-135-112-112-88-141=132

I need help with these answer them

Answers

Answer:

on which on do you need help on but let me know

Step-by-step explanation:

huh

the answer is c because if he has 12 pieces of board and the total is 48 inches, then you just divide them

what is multimedia? explain various types of multimedia.​

Answers

Answer:

multi media is the computer system that has graphics, animation, text, video , etc

A rectangle is 14 inches long and 6 inches wide. Find its area. A 78 square inches B 20 square inches C 84 square inches D 26 square inches​

Answers

Answer 34 square inches

Step-by-step explanation 2+2+2+4+4+9+9

What number lies halfway between -2 and -1?

Answers

Answer:

-1.5

Step-by-step explanation:

Write the word sentence as an equation. Then solve the equation. The quotient of a number and $-1.5$ is $21$ . Equation: Question 2 Solution: $x=$

Answers

Answer:

b

Step-by-step explanation:

A line passes through the point (-1, -2) and has a slope of 5.

Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

List the four reasons given by governments for determining how to use land in the interest of the public.

pls help me

Answers

Answer: health, safety, morals and general welfare.

Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.  

(PLEASE MARK BRAINLIEST)

what microsofttamurchen said

Step-by-step explanation:

GIVE THEM BRAINLIEST !!

Write and solve an equation to answer the question. 9 is 12% of what number?

Answers

12% = 12/100 = 0,12

0,12 x x = 9
x = 9/0.12
x = 75

9 is 12% of 75

Simplify: a(8 + 2b - 6)

Answers

Answer:

2ab+2a

Step-by-step explanation:

OMG PLEASE HELP ;-; FIRST ANSWER GETS BRAINLIST. AND A REAL ANSWER PLEASE

Point F is reflected over the y-axis to create F’. Use an ordered pair to name the location of F’, and determine the distance between F and F’.

Answers

Answer: Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

Step-by-step explanation:

A 60$ purse is on sale for 10% give the sell price

Answers

Answer:$54

Step-by-step explanation:

60(0.9) = $54

answer:

$54

step-by-step explanation:

sale means a decrease from the original amountsince there is a sale of 10%, we would multiply by 90% since we are trying to find the sale price

60 X 90% - - > 60 X 0.90

you can convert 90% into 0.90 so it is easier to multiply

60 X 0.90 = 54

= $54

IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.

Answers

9514 1404 393

Answer:

  52°, 40°, 88°

Step-by-step explanation:

Let x represent "one angle". This is 30% larger than "the other", so we have ...

  x = "the other" × (1 +30%)

  x/1.30 = "the other"

If x is 36° smaller than the third, then the third is x+36.

__

The sum of the angles is 180°.

  x + x/1.3 + (x +36) = 180

  x(2 +1/1.3) = 144

  x = 144/(2 +1/1.3) = 52

  x/1.3 = 52/1.3 = 40

  x +36 = 88

The angles of the triangle are 52°, 40°, and 88°.

7. What is the solution set for -2x-8<2?

Answers

Answer:

-2x - 8 < 2

-2x < 10

x > -5

What is the measure of angle DEG on circle O

Answers

9514 1404 393

Answer:

  50°

Step-by-step explanation:

Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.

  ∠DFC = ∠DEG = 50°

Answer: 50

Step-by-step explanation: Khan Academy

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week

Answers

Given :

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.

To Find :

How many weeks will it be before Aiden knows as many songs as john?

Solution :

Let, after x weeks Aiden know a songs and John know j songs.

The linear equation for both the situation is :

a = x + 12       .....( For Aiden )

j = 2x + 4       ......( For John )

We need to find in which week Aiden knows as many songs as John.

For this , a = j

x + 12 = 2x + 4

x = 8

Therefore, in 8th week both of them know the same number of songs.

what is the median of the following numbers? 6,4,1,9,3,8,3,5,10​

Answers

The median is 3 in this question

1/5 as a decimal and rounded to the nearest tenth

Answers

Answer:

0.2

Step-by-step explanation:

1 divided by 5

2/5=0.4

3/5=0.6

4/5=0.8

5/5=1

Each bus for Philips Elementary School transports 40 students to school. There are 12 buses that transport students to school each day. How many students are transported to school each day by bus? Show your work.

Answers

Answer:

480 students are transported to school each day.

Step-by-step explanation:

Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...

12 x 40 = 480

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