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

456*43-53(45)................help

Answers

Answer: 17223

Step-by-step explanation:

You have to multiply your

Step-by-step explanation:

456×43-53(45)=

19608-53(45)

19608-2385

17223 Answer

Will give brainist help!!!

Answers

Answer:

Step-by-step explanation:

Which equation represents the slope-intercept form of the line below?

Answers

Answer: ( D )

Step-by-step explanation:

They are both positive because in the graph it shows that they are not intercepting in in a negative sign.

hey cutie pls help me !!

Answers

Looks like it should be D since they spent 0.08 on tickets and get 1.92. Then shirts are $55 so we subtract this from the profit.

A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?

Answers

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

Select the correct answer. which expression is in its simplest form?

Answers

The answer is a the first one

HELP ASAP PLEASE WILL GIVE BRAINLEAST (no links scammers)

Answers

Answer: B

Step-by-step explanation: C and D are not correct because if you add up the x's, they will not be equal. A is only true for the first graph, and nit the second, so it won't be A. B is the best answer.

A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.

Answers

Answer:

60 miles per hour

Since d=rt, r = d/t = 420 miles/7 hours = 60 miles per hour

Step-by-step explanation:

Answer:

1.6 miles per hour

Step-by-step explanation:

Step one:

The unit rate is the number of miles in 1 hour

given

distance= 4 miles

time= 2.5 hours

so if he hike 4 miles in 2.5 hours

then he will hike x mile in 1 hour

cross multiply we have

x=4/2.5

x=1.6 miles per hours

Therefore the unit rate is 1.6 miles per hour

Answer: 60 miles per hour

Step-by-step explanation:

I will explain more

In the comments

Solve the following equation for x.

x2+19x+18=8x
Enter one solution in the first box. If there are two solutions, enter the second solution in the second box.

x =

x =

Answers

Answer:

=−2

=−9

Step-by-step explanation:

What is the name ?

Help please

Answers

Answer:

chord

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc

Help plz what is X AND PLZ EXPLAIN

Answers

Hi there!

[tex]\large\boxed{x = 16}[/tex]

.5x + 3 = 11

To begin, we can subtract 3 from both sides:

.5x + 3 - 3 = 11 - 3

.5x = 8

To cancel out the .5, we must multiply both sides by 2: (.5 × 2 = 1)

2(.5x) = 2(8)

x = 16.

Which expression is equivalent to 4c + 7 -2C - 3?
a. 2c + 4
b. 2c + 10
C. 6C +4
d. 60 + 10

Answers

the answer is (A): 2c+4

Factorise fully the following x2+2x

Answers

Answer:

x(x+2) is the answer

Step-by-step explanation:

x²+2x

x(x+2)

HELP PLEASE 15 POINTS

Answers

The measurement of angle L is 65

A round tabletop is 6' in diameter. A sample jar of paint will cover 30 square feet. Is there enough paint to cover the tabletop?

Answers

Answer:

Yes, there is enough paint to cover the table top.

Step-by-step explanation:

We are told in the above question that the table top is round = circular

The area of a circle = πr²

Diameter = 6 feet

Radius = Diameter/2 = 6 feet/2 = 3 feet

Area of the table top= π × 3²

= 28.27 square feet

We are told that the a sample jar will cover 30 square feet.

Therefore, yes, there is enough paint to cover the table top.

(4x – 17)
(5x - 1)

What is x?

Answers

Answer:

9x-18=90 9x=108 x=12,,,,,,,,,,,,,,,,

What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?

Answers

Here is your answer.

Solve the following equation by completing the square:
x^2 + 4x = 2

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]x=\sqrt{6}-2,\:x=-\sqrt{6}-2[/tex]

Step-by-step explanation:

[tex]x^2 + 4x = 2[/tex]

[tex]\left(x+2\right)^2=6[/tex]

[tex]x=\sqrt{6}-2,\:x=-\sqrt{6}-2[/tex]

Mr.davis, the volleyball coach, has 7 outstanding players. He will draw one name out of a jar to decide who stays on the bench. Brianna, one of the outstanding players, wants to know what is the probability of her not playing?

Answers

Answer:

7/1

Step-by-step explanation:

There are 7 players if the coach randomly draws a name that determines who stays on the bench there is a 1/7 chance Brianna will stay on the bench because there are 7 people and Brianna is 1 of them

0.5 gallons plus 0.5 gallons plus 2 gallons plus 1gallon basicly i need to know how to add gallons.

Answers

Answer: 5 gallons

Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1

The answer would be 4 gallons.
You add them like you would any other decimals and numbers. .5+.5=1 then 2+1+1=4

What is 100-80 ÷ 4 + (6-3)

Answers

Answer:

Step-by-step explanation:

100-80 ÷ 4 + (6-3)=100-20+3=80+3=83

Answer:

Step-by-step explanation:

100-80 ÷ 4 + (6-3)

100-80/4 + 3

100- 20 + 3

80 + 3

help please!

1.What is the y intercept of the function?
2.What is the first difference?
3.Write an equation to represent the function given in the table. Remember we write linear functions in y=mx+b form!

Answers

Answer:

1.What is the y intercept of the function?

y-coordinate when x = 0, take from the table.

(0, 5)

2.What is the first difference?

Difference of y-values. This is the slope

7-5 = 2

3.Write an equation to represent the function given in the table

Use the first difference and the y-intercept: b = 5, m = 2

y = 2x + 5

answer choices:
A) 14.1 cm
B) 18.8 cm
C) 37.7 cm
D) 75.4 cm

Answers

Answer:

B. 18.8cm

Step-by-step explanation:

Circumference = π x Diameter

The given diameter here is 6cm and we need to use 3.14 for π so:

Circumference = 3.14 x 6

Circumference = 18.84 = 18.8 (1.d.p)

Therefore B is correct.

Hope this helped!

18.8 aka B I hope this helps

HELP PLEASE WILL CROWN BRAINLIEST!!
The temperature in Calgary at 9 a.m. was – 23 C.
By 11 a.m., it had warmed up by 8 C.
By noon, it had warmed up by another 3 C.
But by 2:00 p.m. it had cooled by 6 C.
What was the temperature in Calgary at 2:00 p.m.?

Answers

Answer:

-18 C°

Step-by-step explanation:

Warmed means add cooled means subtract

starting at -23 it warmed by 8 add 8

-15

it warmed by 3 more add 3

-12

then it cooled by 6 subtract 6

-18

How many degrees is angle y

Answers

Answer:

y = 39°

Steps:

w = 180 - (85+42) = 180 - 127 = 53°

y = 180 - (88+w)

y = 180 - (88+53)

y = 180 - 141

y = 39°

Answer:

y = 39

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of both triangles , then

x = 42 + 85 = 127

and

y + 88 = 127 ( subtract 88 from both sides )

y = 39

Walter scored a 1,285 on a national test in January. He
decided to take the test in March again and scored 1,230.
What is the percent decrease in Walter's test scores?
ROUND TO THE NEAREST HUNDREDTH.

Answers

Answer:

4.28%

Step-by-step explanation:

1285 - 1230=55

(55/1285) ×100%=4.28%

How many terms are in 3x + 2y - 5?

Answers

Answer:

Step-by-step explanation:

3x=1 term

+2y= 2 term

-5= 3 term

Answer:

there are 3 terms in this equation

Step-by-step explanation:

3x --- this is the 1st term

2y --- this is the 2nd term

5 --- this is the 3rd term

(brainliest plz)

help pls ! i need help please

Answers

Answer:

115 degrees

Step-by-step explanation:

The line RQ meets at 115 degrees (Look at the bottom numbers)

It's not 65 degrees because the angle is obtuse.

Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies. Each cookie costs $1.25. Desiree sells 12 cookies and 8 cupcakes for a total of $33.00.

The cost of 1 cupcake is

$1.65
$1.92
$2.06
$2.25

Answers

Answer:

2.25$

Step-by-step explanation:

The cost of each cupcake the food court mall sells is $2.28.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies.

Each cookie costs $1.25 and assuming the cost of the cupcake is x.

∴ (1.25×12) + (8x) = 33.30.

15 + 8x = 33.30.

8x = 18.3

x = 2.28

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ5

whats 2 +2 plss help me i need help

Answers

The answer to this question is 4

2+2=4 hope this helped lol

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