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

If x = 9 units, y = 2 units, and h = 11 units, find the area of the trapezoid shown above using decomposition

Answers

Answer: 143 square units

Step-by-step explanation:

Solve for x in the inequality.
12x < 60
A. X 5
B. X 10
C. x < 5
D. x > 5

Answers

Answer:

C. x < 5

Step-by-step explanation:

12x < 60

x < 5

Pls tell me which square unit :(

Answers

Answer:

8

Step-by-step explanation:

If I am doing this correctly you count all the dots the triangles lines are on. Which is 8 to find the area. Hope it helped have a wonderful day!

It’s geometry please help me find the perimeter

Answers

The perimeter of CDEF is 67.9


In Mr. Jegou's neighborhood 35% of the houses are blue. Write the
percent that do not live in blue houses as a decimal and a fraction in simplest form

Answers

Answer:

Fraction: 3/20

Decimal: 0.35

Step-by-step explanation:

a) 100% - 35% = 65

   So, 65% of the houses are NOT blue.

..............................................

Fraction: 3/20

Decimal: 0.35

Answer:

65/100 or 0.65

Step-by-step explanation:

To answer this problem all you have to do is subtract 35%.If an A+ is an 100 percent,Then subtract 100 and 35 giving you 65 percent.

But if you do not know how to turn a fraction or decimal,then i will show you.every time you have a number in the tens place,add a zero and the add the decimal and finally add 65 which making look like this:0.65.

Fraction is easy to do as long as you do a number out of 100,like this:65/100.

simple :)

Two ships are near a buoy in the open ocean. One ship is 20 km due north of the buoy, and the other ship is 13.5 km due east of the buoy.

Round the answer to the nearest tenth.

Answers

Answer:

24 km is your answer

Step-by-step explanation:

Let x be the distance between the two ships.

Hypotenuse side = x km

Adjacent side = 13.5 km

Perpendicular side = 20 km

by using Pythagoras theorem:

x²= 13.5²+ 20²=582.25

x=√ 582.25

х =24.129857024 km

Therefore, the distance between two ships to the nearest tenth place is, 24.1 km

An item costs $420 before tax, and the sales tax is $25.20 . Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

6%

Step-by-step explanation:

Given data

Cost of item= $420

Tax= $25.2

Required

The tax rate

=25.2/420*100

=0.06*100

=6%

Hence the tax rate is 6%

Please Help!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have?
Could you show your work like the image above

Answers

Since we have twice as many nickels as pennies and $1.10. In quarters it is 4.5

Which rule describes the x-coordinates in the translation below?.
x + 0
x + 6
x – 6
x + 2

Answers

Answer:

A) x + 0

Step-by-step explanation:

In triangle ABC, the coordinates are: A(1, -1), B(1, -5) and C(4, -5)

In triangle A'B'C', the coordinates are: A(1, -5), B(1, 1) and C(4, 1)

Look at the x-coordinates in both the triangles remains the same because the triangles are reflected over x-axis, therefore, only the y-coordinate changes.

Therefore, the rule for x-coordinates = x + 0

Answer: A) x + 0

Hope this was helpful.

Thank you.

Which number line and expression show how to find the distance from 4 to 1?

Answers

Answer:

C

Step-by-step explanation:

Corey needs at least 2 gallons of paint to make a mural. If Corey has 6 quarts and 3 pints of paint, will he be able to make a mural?

Answers

Answer:

no

Step-by-step explanation:

4 quarts = 1 gallon, so he would have 1.5 gallons.

8 pints = 1 gallon, he would need 4 pints to have 2 gallons

Answer:

No he will not.

Step-by-step explanation:

6 quarts to a gallon is 1.5

3 pints to a gallon is 0.375

you add those together you get 1.875 not 2

In a fruit cocktail, for every 20 ml of orange juice you need 10 ml of apple juice and 15 ml of coconut milk. What proportion of the cocktail is apple juice?
Give your answer as a fraction in its simplest form.

Answers

Answer:

5/9

Step-by-step explanation:

First, find the total number of mL in the drink:

20 + 10 + 15

= 45

There are 10 mL of apple juice, so the proportion will be 10/45

Simplify this by dividing the numerator and denominator by 5:

10/45

= 5/9

So, 5/9 is the proportion of the cocktail that is apple juice

6. Step 1: Calculate the area of
ADEF using the scale factor.

62.5 ft

156.25 ft

88 ft

163.75 ft

Answers

Answer:

1234567890

Step-by-step explanation:

?

Geometry question, help ya girl out

Answers

Answer:

A=36 a means area

Step-by-step explanation:

A=a+b/2

h=6+12/2

times 4=36

Answer:

=36cm^2

Step-by-step explanation:

6-12=6 (total cm of the bases for triangle B and C)

6/2= 3 (base of B and C trialngleis 3  )

Triangle formula: bh 1/2

(base)b= 3cm

height(h)=4

Formula: (3)(4) 1/2

=12 1/2

=6cm^2

^ area of 1 triangle

There are 2, so

6*2=12cm^2 (area of triangles )

Area of rectangle: L*W

4*6=24cm^2

Total area of trapezoid

=24cm^2+12cm^2

=36cm^2

Remy stands on a dock at the edge of the lake represented by point C. Points A and B represent two buoys anchored in the lake. Remy plans to swim from C to A, then to B and then back to C. The shortest distance from Remy to the swim route AB is 60 meters and is measured from C to D.


What is the total distance, in Meters that Remy will swim? Round your number to the nearest whole number.

Answers

*see attachment for the diagram and more info

Answer:

236 m

Step-by-step explanation:

Total distance Remy will swim = CA + AD + DB + BC

✔️Find AD and CA using trigonometry function:

Reference angle = 43°

Opp = AD

Hypotenuse = CA

Adjacent = 60 m

Tan 43 = opp/adj

Tan 43 = AD/60

60 × Tan 43 = AD

60 × 0.93 = AD

55.8 = AD

✅AD = 55.8 m

Cos 43 = adj/hyp

Cos 43 = 60/CA

CA × Cos 43 = 60

CA = 60/Cos 43

CA = 60/0.73

✅CA ≈ 82.2 m

✔️Find DB and BC:

Refernece angle = 27°

Adj = 60 m

Opp = DB

hyp = BC

Tan 27 = opp/adj

Tan 27 = DB/60

60 × Tan 27 = DB

60 × 0.51 = DB

✅DB = 30.6 m

Cos 27 = adj/hyp

Cos 27 = 60/BC

BC = 60/Cos 27

BC = 60/0.89

✅BC ≈ 67.4 m

✔️Total distance Rent will swim = 55.8 + 82.2 + 30.6 + 67.4 = 236 m

HeLp
Would a bottle of perfume be measured with liters or millimeters??

Answers

Answer:

Millimeters

Always check out answer.com if you want to! Please don't report!

Hope that helps!

Step-by-step explanation:

0.5+69-69=180-69 plz help I will give brainlest

Answers

Answer: 0.5 = 111

Step-by-step explanation:

Answer:

Step-by-step explanation:69696969699696969696969696969699696965iu436745

A cereal box has a surface area of 280 square inches. What is the surface are of a similar box that is larger by a scale factor of 1.4 ?

Answers

Answer: 548.8 square inches

Step-by-step explanation:

From the question, we are informed that a cereal box has a surface area of 280 square inches.

The surface area of a similar box that is larger by a scale factor of 1.4 will be gotten by multiplying 280 by the scale factor's square. This will be:

= 280 × (1.4)²

= 280 × 1.96

= 548.8 square inches

Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understand these.

Answers

Y=31.2
X=15.6

I rounded both to the nearest tenth place.

Answer:

Step-by-step explanation:

here is how you find the answer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now apply the above rules to the given triangle

where we are given the angle of 30°  and the Adj side of 27

y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values  as follows

so use CAH   Cos(30) = 27 / Hyp

Hyp = 27 / Cos(30)

Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)

Hyp = 27 * 2 /  [tex]\sqrt{3}[/tex]

Hyp = 54 / [tex]\sqrt{3}[/tex]

y = 54 / [tex]\sqrt{3}[/tex]

use SOH, since we know the exact value for the Hyp from above

Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex]  )

Sin(30) * 54 / [tex]\sqrt{3}[/tex]  = Opp

1/2 * 54 / [tex]\sqrt{3}[/tex]  = Opp

27 / [tex]\sqrt{3}[/tex]  = Opp

x = 27 / [tex]\sqrt{3}[/tex]

:)

Evaluate 32 + (5 − 2) ⋅ 4 − 6 over 3. (1 point)

Answers

3 squared.

Explanation: Because it's correct.

Answer:

i did 3^2 and the answer would be 19 for that.

Step-by-step explanation:

3^2 + (5 − 2) ⋅ 4 − 6 over 3

9 + 3 ⋅ 4 - 6 over 3

9 + 12 - 6 over 3

21 - 6 over 3 (which equals 2)

is 19 :)

Please help! 20 points

Answers

Answer:

x^2

Step-by-step explanation:

The answer is x square because the evalutation at the top directly prooves its inexctriacble.

The time t required to do a job varies inversely as the number of people working. It takes 4 hr for 7 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 8 cooks to prepare the dinner?

Answers

9514 1404 393

Answer:

  3 1/2 hours

Step-by-step explanation:

If there are 8/7 times as many cooks, it will take 7/8 the amount of time. (That's what "inversely proportional" means.)

  (7/8)(4 h) = 28/8 h = 3 1/2 h

It will take 8 cooks 3 1/2 hours to prepare the dinner.

Brainly anyone....

Given that charge for each tabletop is 8.50 per square foot, create an itemized
invoice to show the cost of
each tabletop from 10-12 and the total cost.

Table 1 - $
Table 2 - $
Table 3 - $
Total cost - $

Answers

Answer:

Table 1: for 10 square feet it would be: 85.00

Table 2: would be 93.50

Table 3: would be 102.00

The Total cost would be: 280.50

Can someone HELPPPPPP?!??!?!?

Answers

Answer:

5/5 is 1 so D is correct.

Hope this helps!

Yes d is the correct answer

A florist sold 14 flower bouquets yesterday, including 7 lily bouquets. Based on past data, how many of the next 20 bouquets sold should you expect to be lily bouquets?

Answers

Answer:

10

Step-by-step explanation:

From past data:

Fraction of lily sold :

Total flowers / number of lily

Total flowers = 14

Number of lily = 7

Fraction of lily = 14 /7 = 1/2

Going by these ;

Expected number of lilies in the next 20 bouquets sold :

Fraction of lily * number of flower in bouquet

1/2 * 20

= 10 lilies

Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Find the least amount of money that Marco still needs to save before he can buy the smartphone and accessories

Answers

Marco will need to save up another 420 dollars

Which set represents the zeros of the function f(x) = 7x2 – 28x + 21?

Answers

Answer:

change f(x) to 0 than 7*2x=14x

0=14x-28x+21

0=-14x+21

-21=-14x

x=3/2

solve vw^2+y=x for w

Answers

Answer: The given equation is

And we have to solve for w .

For that we first get rid of y. And for that, we subtract y from both sides,

Now we need to separate v from w square, and for that, we divide both sides by v, that is

Now to get rid of square, we take square root to both sides. That is

And that's the required answer.

Step-by-step explanation:

Answer:

vw^2+y=x

vw²=x-y

w²=(x-y)/v

w=√{(x-y)/v}

Triangle congruence and similarity! (picture included)

Answers

Answer:

yes; SAS (Side Angle Side)

Step-by-step explanation:

if you divide all sides by three they come out as the same numbers as the left triangle and they are both the same type of triangle

you guys are literally the best! much love <3

Answers

Answer:

ty::::::>>>>>::::>

Step-by-step explanation:

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