An architect is constructing a model in the shape of a triangle that has one side length of 9 centimeters and another side length of 8 centimeters. Which

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Sides:\ 9cm\ and\ 8cm[/tex]

The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.

To do this, we make use of the triangle inequality theorem which states that:

Given three sides (a, b and c) of a triangle, the following inequalities exist.

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Let a and b represent the two sides such that:

[tex]a = 9[/tex]

[tex]b = 8[/tex]

The inequalities become:

[tex]9 + 8 > c[/tex]

[tex]9 + c > 8[/tex]

[tex]8 + c > 9[/tex]

Solve for c in each:

[tex]9 + 8 > c[/tex]

[tex]17 > c[/tex]

[tex]c < 17[/tex]

[tex]9 + c > 8[/tex]

[tex]c > 8 - 9[/tex]

[tex]c > - 1[/tex]

[tex]8 + c > 9[/tex]

[tex]c >9 - 8[/tex]

[tex]c >1[/tex]

The value of c must be positive, so, we consider;

[tex]c >1[/tex] and [tex]c < 17[/tex]

Rewrite:

[tex]1 < c[/tex] and [tex]c < 17[/tex]

Combine both

[tex]1 < c < 17[/tex]

Hence, the value of c is:

[tex]c = (1,17)[/tex]


Related Questions

Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?

Answers

Answer:

9,309

Step-by-step explanation:

550 + (8,730) + 2 + 4 + (23)

= 550 + 8,730 + 2 + 4 + 23

= 9,309

Let f(t) represent the temperature of a turkey baking in an oven as a function of time t in the oven (in minutes). This means time is the independent variable and temperature of the turkey is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.

Explain the meaning of each statement in the context of the situation using everyday language. Remember that the input of the function t is the time in the oven and the output f(t) is the temperature of the turkey at that time.

1. f(0) = 50. (8 points)

2. f(120) > f(60). (8 points)

3. f(360) = f(345). (7 points)

4. f(390) < f(360). (7 points)

Answers

Answer:

Step-by-step explanation:

1. f(0) = 50. (8 points)  The beginning temperature of the turkey was 50 degrees.  The '0' represents "beginning."

2. f(120) > f(60). (8 points)  The temperature of the turkey after 120 min (2 hours) is greater than that after 60 minutes (1 hour).

3. f(360) = f(345). (7 points)  The temperature of the turkey is the same after 360 minutes as it is after 345 minutes.

4. f(390) < f(360). (7 points)

The temperature of the turkey drops after 360 minutes (6 hours), because the turkey is taken out of the oven and/or the oven is turned off.

1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are adjacent C. Angles FOD and AOC are equal D. The sum of the measurements of Angles of AOC and BOC and equal to FOD E. FOE and DOD are completely Angles F. Angles FOA, AOB, and AOC are Supplementary Angles​

Answers

Answer:

Do you have any Images?

Step-by-step explanation:

Answer:

I don't get it.

Step-by-step explanation:

If you answer I will mark you Brainliest!

Answers

Answer:

divide the figure into two parts.

area of triangle = 1/2×base×height

area of triangle = 1/2×3×3

area pf triangle = 4.5 units²

area of square = side²

area of square = 3²

area of square = 9unit²

Answer:

The figure is made up of a square and a triangle.

We will find both of their areas separately and then combining them will give us the required area.

Area of the triangle : ½ × base × height

= ½ × 3 × 3

= ½ × 9

= 4.5 units²

Area of the square : (side)²

= 3²

= 9 units²

Now, required area = (4.5 + 9) units²

= 13.5 units²

Find the volume of this composite figure.
[?] cubic centimeters
2 cm
2 cm
2 cm
2 cm
5 cm
5 cm
11 cm

Answers

Answer:291

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

hoped this helped.

This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

Answers

Answer:

rule multiply of 4

Step-by-step explanation:

beacause 4×1=4

4×2=8

4×4=16

4×8=32

4×16=64

4×32=128

that's all I know

The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
(-5, 4)

A. y* -(x + 5)2 - 4
B. y = -(x - 5)2 - 4
C. y = -(x - 5)2 + 4
D. y = -(x + 5)2 + 4

Answers

Answer:

D

Step-by-step explanation:

Because the x-coordinate of the vertex is negative, only A or D could be the correct equation for this parabola.  D is correct because its constant (4) matches the y-coordinate of the vertex (-5, 4).

Answer:

y = -(x + 5)2 + 4

Step-by-step explanation:

Plzz help i really need it will mark brainiest. don't do it for points plzz

Answers

Answer:

A

Step-by-step explaanation:

Answer: i think its c

Step-by-step explanation:

HELP! I NEED HELP ASAP

Answers

Step-by-step explanation:

yes the 10' wave is the outlier

Answer:

The correct option is .The 10 foot wave is an outlier.

Step-by-step explanation:

Pls answer and explain

Answers

I think I can help, let me do some more existential research and I’ll get back to you

Answer:

13364 cm³

Step-by-step explanation:

Lets Find the area of the trapezoidal face

Base 1 = 15

Base 2 = 37

Height = 25.7

Formula for area of trapezoid

(b1+b2)h/2

Lets Input

(15+37)25.7/2

1336.4/2 = 668.2

Now lets multiply by 20, or the length

668.2 x 20 = 13364

Note we could have saved time by multiplying 1336.4 x 10 because 20/2 = 10

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

help?? lols ,,

will mark brainliest, i guess

Answers

Answer:

-80x + 28y - 56

4(-20x + 7y - 14)

What does it mean if (3, 2) is a solution of

{

y = x - 1

y = -x + 5

?

Answers

(x,y) = (3,2)

y = x - 1

2 = 3 - 1

2 = 2

y = -x + 5

2 = -3 + 5

2 = 2

If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, The system of equation y = x - 1 and y = - x + 5 has a

solution (3, 2).

If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.

For,

y = x - 1.

At, x = 3,

y = 3 - 1

y = 2   (satisfied).

For,

y = - x + 5.

At, x = 3,

y  - 3 + 2.

= 2     (satisfied).

learn more about the system of equations here :

https://brainly.com/question/19549073

#SPJ5

what is the distance, in units, between (-4,6) and (8,-3)

Answers

Answer:

The distance between those points is 15.

Step-by-step explanation:

1.   (x2-x1) = (8 - -4) = 12

2.   (y2-y1) = (-3 - 6) = -9

3.   (12)^2 + (-9)^2 = 144 + 81 = 225

4.   √225 = 15

5.   15

Please help no links

Answers

Answer:

x=5 y=-6

Step-by-step explanation:

3x+y=9 ------eqn1

y=4-2x -------eqn2

using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

y=-6

HELP ME W/ MY HW

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz

Answers

Answer:

7238.23

Step-by-step explanation:

452.16
fórmula: a= (3.14)(12x12)

PLS HELP ME I WILL GIVE BRAIN THINGY

Answers

5 is the correct answer:))

Solve for x.
9 - 3x = 1 + x ​

Answers

Answer:

x=2

Step-by-step explanation:

9

3

=

1

+

{\color{#c92786}{9-3x}}=1+x

9−3x=1+x

3

+

9

=

1

+

Answer:

2

Step-by-step explanation:

9-3x=1+x

9-3x-x=1

9-4x=1

4x=9-1

4x=8

x=8/4

x=2

Please help I got the answer wrong-

Answers

Answer:

[tex]x {}^{2} = 150[/tex]

Step-by-step explanation:

What I did was

[tex]5 \times 5 = 25[/tex]

then I did

[tex]5 \times 5 = 25 \times 5 = 150[/tex]

and I'm hoping 150 is the answer. HOPE THIS HELPED

Name an angle of

C) 140°

Answers

Answer:

angle C is 90°

Step-by-step explanation:

(sorry if thats not the answer the question is confusing)

have a nice day!! :)

Ms. Trevino has 7 1/2 yards of string, She needs to cut them into strips, and each strip needs to be 1 1/2 yards in length. How many strips of string can she cut with 7 1/2 yards?

Answers

Answer:

[tex]N_t=6.455\ yards[/tex]

Step-by-step explanation:

From the question we are told that:

Total String [tex]N=71/2[/tex]

Strip size [tex]N_s=11/2[/tex]

 

Generally the equation for Total Number of strip cut [tex]N_t[/tex] is mathematically given by

[tex]N_t=\frac{N}{N_s}[/tex]

Therefore the  strips of string can she cut with 7 1/2 yards is Given as

[tex]N_t=\frac{71/2}{11/2}[/tex]

[tex]N_t=\frac{71}{2}*\frac{2}{11}[/tex]

[tex]N_t=\frac{71}{11}[/tex]

[tex]N_t=6.455\ yards[/tex]

1/2n+3=6

what does n equal?

Answers

Answer:

[tex]n = \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2n} + 3 = 6[/tex]

[tex] \frac{1}{2n} = 6 - 3[/tex]

[tex] \frac{1}{2n} = 3[/tex]

[tex]1 = 6n[/tex]

[tex]n = \frac{1}{6} [/tex]

which is equivalent to y=(x-4)(x-2)?
1.y=x^2+2x-8
2.y=x2+6x+8
3.y=x^2-6x+8
4.y=x^2-2x-8​

Answers

Answer:

C

Step-by-step explanation:

Please help me! I'm stuck and I don't know what to do!!! By the way, please don't insert a link, as I cannot reach them.

Answers

Answer:

study more so you can understand

select ALL the answers that are correct.

Answers

Answer:

A,C

Step-by-step explanation:

What is the distance between point B and point C?
A 2.1 units B 4.1 units
C 8.6 units

Answers

Answer:

Your answer is B

Step-by-step explanation:

Count down 4 points from B on the graph and count 1 over until you reach C which is down 4 over 1

Solve the following system by graphing.
y = x^2+ 3x + 5
y = -x + 2

Answers

Answer:

[tex]y = ( - 3)^{2} + 3 \times ( - 3) + 5 \\ y = 5 \\ (x.y) = ( - 3.5)[/tex]

brainyliest pls

Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?

Answers

Answer:

4.5 cups flour

Step-by-step explanation:

6.5 - 2 = 4.5

She put 2 cups so if u do
6.5 - 2 =4.5

This is your answer

please help asap:)))

Answers

Answer:

Step-by-step explanation:

Yes, We can find the cost of one admission to the water park,

We can form two linear equation with two variables and by solving the equation we can determine the cost of one admission.

Cost of 15 people's admission and 8 rental tube  is $ 263.25

15x  + 8y = 263.25  -------------(I)

Cost of 20 people's admission and 13 rental tubes is $ 358

20x + 13y = 358  ------------(II)

(I) * 13        195x + 104y = 3422.25

(II)*(-8)     -160x - 104y  = - 2864   {Now add and so y will be eliminated}

                35x               = 558.25

                                  x = 558.25/35

x = 15.95

Cost of one admission = $ 15.95

Find the value of x by finishing solving the system shown below.

Answers

Answer:

x = 10

Step-by-step explanation:

Since both equations give y in terms of x, equate the right sides

3x - 28 = - 2x + 22 ( add 2x to both sides )

5x - 28 = 22 ( add 28 to both sides )

5x = 50 ( divide both sides by 5 )

x = 10

Jar contains 8 green, 4 blue, 10 red, and 2 yellow skittles. A skittle is randomly drawn replaced then another is drawn. Find each probability

Answers

Answer:

green= 33.33%

blue= 16.7%

red=41.6%

yellow=8.33%

Step-by-step explanation:

Total 24 skittles

Divide them

green

8/24

blue

4/24

red

10/24

yellow

2/24

Answer:

a) 5/144

b) 1/18

c) 1/36

d) 25/144

Step-by-step explanation:

a) 10/24 times 2/24

b) 4/24 times 8/24

c) 4/24 times 4/24

d) 10/24 times 10/24

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