The lengths of the triangle are 4x-6, 3x-5 and 4x-3 what is the perimeter of the triangle

QUESTION POSTED AT 05/12/2019 - 05:10 PM

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At another theater workers have to cut a new trap door.the door can be no mre than 130 sq ft in the area with whole number side lengths.they have to bring in 3 items to the stage.the first item is 6 feet,5 inches wide and 8 feet,9 inches long.the seconed item is 13 feet,4 inches wide and 7 feet, 8 inches long.the third item is 5 feet,6 inches wide and12 feet, 4 inches long. what size of trap door would you reccomend? what is the perimeter of the trap door

HhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhGiven:
trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long 
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches

130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches
P = 2(277)
P = 554 inches 

ANSWERED AT 01/04/2020 - 01:48 PM


QUESTION POSTED AT 01/04/2020 - 01:48 PM

The sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse

No, this is the definition of the cosine.

The sine in a right triangle is the OPPOSITE side divided by the hypotenuse

ANSWERED AT 01/04/2020 - 01:43 PM


QUESTION POSTED AT 01/04/2020 - 01:43 PM

Find the area of a triangle when the base is 24 feet and one of the sides is 13 feet

The area of the triangle is 156ft.

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

How can you use the information shown to find its perimeter?

Well u know the area is 35 in^2 and the length is 7in. Let x = width
7x = 35
x = 35/7
Perimeter = 7(2) + 2(35/7) --> 14 + 70/7 --> 14 + 10 = 24

ANSWERED AT 01/04/2020 - 01:38 PM


QUESTION POSTED AT 01/04/2020 - 01:38 PM

The length of a rectangle is 3 feet less than twice the width. the area is 65 square feet. find the length and width

It's a lot to take in, isn't it ? I started off by confirming the formula a=lb

a=lb
65= (x×2)-3×x

l=(x×2)-3
b=x
a=65

Now I tried plugging in random values. Eventually I came up with this ;

65= (6.5×2)-3×6.5
65= 13-3×6.5
65 = 10×6.5
65=65

Length = 10feet
Width = 6.5feet

ANSWERED AT 01/04/2020 - 01:19 PM


QUESTION POSTED AT 01/04/2020 - 01:19 PM

The length of a train car is 50.6 feet.This is 5.8 feet less than 6 times the width.What is the width

L=50.6
6w-5.8=50.6
6w=56.4
w=9.4 feet. As a result, the width is 9.4 feet. Hope it help!

ANSWERED AT 01/04/2020 - 01:16 PM


QUESTION POSTED AT 01/04/2020 - 01:16 PM

3 pieces should be 3 1/3ft , 2 pieces should be 5 1/2ft and one piece should be 4ft. What is the total length?

Add them.
3.25+5.5+4
that equals
approximately 12.75

:) hope this helped

ANSWERED AT 01/04/2020 - 01:12 PM


QUESTION POSTED AT 01/04/2020 - 01:12 PM

Libby wants to measure the length of a pond. She measured 13 yd from point X to point Z and 12 yd from point Y to point Z. What is the length of the pond?

Answer:The answer is 5yds mate  i did it on USAtestprep

Step-by-step explanation:

would u please mark me brainliest answer mates im doing it for a yt video ps im lazarbeam.if u saw this you are winning 2000 in  my video that will drop tommorow

ANSWERED AT 31/03/2020 - 10:46 AM


QUESTION POSTED AT 31/03/2020 - 10:46 AM

Determine the length of side b in each of the triangles below

The pathagerom theory a2+b2=c2

ANSWERED AT 31/03/2020 - 10:46 AM


QUESTION POSTED AT 31/03/2020 - 10:46 AM

A regular hexagon with side length 4 has the same area as a square. What is the length of the side of the square?

The length of the side of the square would be 6.4

ANSWERED AT 30/03/2020 - 01:31 AM


QUESTION POSTED AT 30/03/2020 - 01:31 AM

ANSWER FAST PLZZZ Which polygons are congruent? Select each correct answer. Two right scalene triangles labeled D E F and P Q R. Corresponding sides and vertices contain one, two, and three tick marks, respectively. Angles E and Q are right angles. Two triangles labeled T U V and W X Y. Side T U is labeled three, side U V is labeled six and five-tenths, and side V T is labeled seven. Side W X is labeled three, side X Y is labeled six and five-tenths, and side Y W is labeled seven. Corresponding vertices contain one, two, and three tick marks, respectively. Two triangles labeled A B C and F G H. Angles A and F are labeled eighty-three degrees. Angle B is labeled forty-eight degrees, angle C is labeled forty-nine degrees, angle G is labeled forty-five degrees, and angle H is labeled fifty-two degrees. Sides B C and G H each contain one tick mark. two right triangles. one with legs 4 and 7 units. the other one with legs 5 and 8 units.

Answer with explanation:

Two Triangles are Congruent by following Geometrical Axioms

1. SAS

2.SSS

3. AAS

4. ASA

1. In Δ DEF and Δ P QR

PQ=DE

∠DEF=∠PQR→→Each being 90°

EF=QR

Δ DEF ≅ Δ P QR→→[SAS Congruency]

2. As in Image 2, only one angle is common

we can't say that triangles are congruent.

3. In ΔT UV and Δ W X Y

WX=TU

UV=XY

TV=WY

∠TUV=∠WXY

∠UTV=∠XWY

ΔT UV ≅ΔW X Y→→[By SAS or AAS or SSS]

4.In ΔABC and ΔFGH

∠A=∠F=83°

we can't say that triangles are congruent,as neither the other two angles nor the other two sides are equal.

5. None of the sides nor of the angles are equal .So the triangles are not congruent.

→→So, Image 1, Image 3,  are congruent Polygons.

ANSWERED AT 29/03/2020 - 06:27 PM


QUESTION POSTED AT 29/03/2020 - 06:27 PM

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?

16 times 5 = 80. 80 is your length

ANSWERED AT 29/03/2020 - 06:23 PM


QUESTION POSTED AT 29/03/2020 - 06:23 PM

For a circle with a radius of 6 feet, find the arc length of a central angle of 6 degrees. A. 36nft B. 3/5 pi ft C. 2/5 pi ft D. 1/5 pi ft

Arc length = angle*radius
Degrees to radians: multiply by pi/180
Arc length = (pi/180*6)*6 = 36/180*pi = pi/5.

The answer is D.

ANSWERED AT 29/03/2020 - 06:20 PM


QUESTION POSTED AT 29/03/2020 - 06:20 PM

The length of a semicircle is half the perimeter of the circle to which it belongs. True or false

True? A semi- circle is half a circle, so the perimeter would have to be half of a circle. Hope this helps 

ANSWERED AT 29/03/2020 - 04:32 PM


QUESTION POSTED AT 29/03/2020 - 04:32 PM

Compute and compare the side lengths of the two figures. Does this support an argument claiming that they are congruent? What else must be true to say two polygons are congruent?

The side lengths of the two figures can be calculated with the distance formula:

 √ (x1 - x2)² + (y1 - y2)²        

AB = √13  

BC = √13      

CD = √13    

DA = √13  

A'B' = √13      

B'C' = √13      

C'D' = √13      

D'A' = √13

They are all the same lengths. This supports an argument claiming that they are congruent because if the sides are congruent, then the two polygons are congruent.

Something else that must be true to say that two polygons are congruent is that the angles have equal measures.

Hope this helps! :)

ANSWERED AT 28/03/2020 - 12:59 PM


QUESTION POSTED AT 28/03/2020 - 12:59 PM

The lengths of three sides of a triangle are given. Determine whether each triangle is a right triangle. 1. 14 m, 5 m, 4 m 2. 3 in., 4 in., 5 in. Are these right triangles?

In a right triangle, the hypotenuse is always the longest side.  Plus, the hypotenuse squared has to equal the sum of the squares of the other 2 sides.  For the first "triangle" above: does 14 ^{2} =5 ^{2} +4 ^{2} ?  Let's check.  196 = 25 + 16 so does 196 = 41?  Obviously not.  So that is not a right triangle.  Let's check the second one the same way.  Does 5 ^{2} =3 ^{2} +4 ^{2} ?  25 = 9 + 16.  Does 25 = 25?  Of course it does!  So 1 is not a right triangle, but 2 is!

ANSWERED AT 28/03/2020 - 12:48 PM


QUESTION POSTED AT 28/03/2020 - 12:48 PM

Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent? 11 inches 12 inches 13 inches 14 inches

Answer:

The length of the longest metal rod that can be sent is 12 inches.

Step-by-step explanation:

As given, the only boxes available for shipping are 7-inch cubes. As Jorge needs to ship a thin metal rod to a metalworking shop, he will put the rods diagonally or space diagonally in the box.

The space diagonal of a cube can be found by the formula :

D=\sqrt{x^{2}+x^{2}+x^{2} }

= \sqrt{3} x

Here, x is 7 inches.

So, Diagonal is = \sqrt{3} \times7

= 1.732\times7=12.12 inches.

Rounding this to nearest whole number we get 12.

So, the length of the longest metal rod that can be sent is 12 inches.

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

Joe has two empty boxes, one box is 15 inches wide, 20 inches long and 10 inches high. The second box has the same length and width but is 4 inches taller. How much additional spaces is in the box

Space in the box = volume
volume = length x width x height
box 1 volume = 15 x 20 x 10 = 3000
box 2 volume = 15 x 20 x 14 = 4200
how much space is left = box 2 - box 1 = 1200 inches

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

What is the length of one side of a regular octagon if its perimeter is 208 mm?

Well if you know the top and the bottom are equal and the two sides are equal. So just add them up

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

What is the area of triangle DEF? Round to the nearest tenth of a square unit. 10.3 square units 18.0 square units 20.0 square units 20.6 square units

Since we are given 2 sides and 2 angles, we can use the Side Angle Side (SAS) method. The area of a triangle is given by the formula:
Area = absinC/2; where a and b are adjacent sides and C is the angle between a and b.

Area = 5*8*sin31°/2 = 10.3 square units.

ANSWERED AT 28/03/2020 - 12:34 PM


QUESTION POSTED AT 28/03/2020 - 12:34 PM

Which ordered pair of point S would give the quadrilateral the greatest perimeter

Id d because to get it it order of emlimination

ANSWERED AT 28/03/2020 - 12:33 PM


QUESTION POSTED AT 28/03/2020 - 12:33 PM

Frank wants to put fencing around the border of his rectangular lawn shown. He needs 16 feet of fencing. What is the length of the lawn?

There are manny answers to this
6ft, 6ft, 2ft, 2ft
5ft, 5ft, 3ft, 3ft
7ft, 7ft, 1ft, 1ft
 

ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

The perimeter of the rectangle is 30 centimeters. What is the length of side c?

The answer would be 10

ANSWERED AT 28/03/2020 - 12:26 PM


QUESTION POSTED AT 28/03/2020 - 12:26 PM

Triangle ABD is similar to triangle ACD. AB = 10, BC = 12, BE = 4, and CD = y. Find y.

There is a mistake in your writing
:The similar triangles should be ABE (& not ABD as you stated) & ACD

If so, we can write the following proportion:

AB/AC = BE/CD.
We know that AB =10, BE=4, AC= 10 + BC (BC =12, Given), so AC =22
Plug into the above: 10/22 =4/y===> y= (22 x 4)/10===> y =44/5 =8.8

ANSWERED AT 28/03/2020 - 12:25 PM


QUESTION POSTED AT 28/03/2020 - 12:25 PM

1) 2x+8y=20 y=2 2x+8(2)=20 2) x=5 2x+y=10 2(5)+y=10 3) 5x-2y=3 y=2x 5x-2(2x)=3 4) 2y+x=-15 x=3y 2y+(3x)=-15 5) 4x+7y=19 y=x+9 4x+7(x+9)=19 6)y=6x+11 2y-4x+14 2(6x+11)-4x+14 7)2x-8y=6 y=-7-x 2x-8(-7-x)=6 8) x=2y-1 3x-2y=-3 3(2y-1)-2y=-3 what is the process and what x and y equal

If they give you what one variable is, you can plug it into the equation and use algebra to solve it. So:

1)2x=4 -> 4/2 = 2 so x=2

2) y=0

3) x=3

4) 2y + (3*3y) = -15
11y=-15 
y = -15/11

5) 4x + 7x + 63 = 19
11x = -44
x = -4

ANSWERED AT 28/03/2020 - 12:21 PM


QUESTION POSTED AT 28/03/2020 - 12:21 PM

The perimeter of a living room with 68 feet if the length of the living room is 18 feet what is the width

18+18=36
68-36=32
32\2=16

ANSWERED AT 28/03/2020 - 12:16 PM


QUESTION POSTED AT 28/03/2020 - 12:16 PM