The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle

Answers

Answer 1

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm


Related Questions

Hank's car travels 600 feet in 20 seconds. Andy's motorcycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle? Explain your reasoning.

Answers

Answer:

the car travels faster

Step-by-step explanation:

Since the motorcycle has traveled 300 feet, and the car has traveled 600 feet, we will divide 600 by 2

600 divided by 2 = 300

Hank would have traveled 300 feet in 10 seconds

Andy traveled 300 feet at 12 seconds

Therefore Hanks car travels faster

Answer:

The car travels faster

Step-by-step explanation:

600 ft per 20 secs

How many feet in one sec?

600/20 = 30

Hank's car = 30 feet per second

300 feet in 12 sec

How many feet in one sec?

300/12 = 25

Andy's motorcycle = 25 feet per second

can you please give me the real answer -42 = n/7 will give u 5 star rating

Answers

Step-by-step explanation:

Sent from my Huawei to the one who makes me so happy in my life thx for everything happy 6 months together baby and I love you so much ik I am so glad you are the one to thank for your life and your

The answer is :

n = - 343

<1 and 23 can best be described as -

Answers

Vertical angles, hope this helps!

Help sir! Thank you, Mr Thompson

Answers

Problem 1

To find the y intercept, plug in x = 0 and simplify

f(x) = (x-2)(x+4)

f(0) = (0-2)(0+4)

f(0) = (-2)*(4)

f(0) = -8

We have x = 0 pair up with y = -8

The y intercept is (0,-8)

Answer: Choice D

========================================

Problem 2

(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.

The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.

Answer: C) Parabola opens upward

========================================

Problem 3

Answers:

A = h(x)B = f(x)C = g(x)

Explanation:

Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).

Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.

Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in simplest

form

C2

WRITER

I

Answers

Answer:

10/15

simplest form:2/3

Step-by-step explanation:

What is the sqrt of i 25

Answers

Answer:

5

Step-by-step explanation:

- ohcogcogdgsogxicrkrxlgx

FIND M∠R (GIVING BRAINLIEST, 25 PTS)

Answers

Answer:

76

Step-by-step explanation:

to understand thisyou need to know about:trianglesequationPEMDASgiven:[tex]M\angle T=2x+2[/tex][tex]M\angle R=3x+1[/tex]tips and formulas:this is an isosceles triangle since two sides are equal therefore [tex]\angle T=\angle S[/tex]a triangle contains 180°let's solve:

according to the question

2x+2+2x+2+3x+1=180

solve:

collect like terms:7x+5=180substract 5 from both sides:=>7x+5-5=180-5=>7x=175divide both sides by 7: =>7x/7=175/7x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

76

Answer:

M∠R=76°

Step-by-step explanation:

First, I realized that ∠S was equal to ∠T, meaning ∠S=2x+2. I then added all 3 angles together and set them equal to 180, seeing the angles of a triangle must add up to 180 (2x+2+2x+2+3x+1=7x+5=180)

After that, I subtracted 5 from 180 and then divided by 7 to get x=25. I then solved the equation 3x+1 by plugging 25 in for x and ended up with 76 as my final answer.

12. Three friends went to an ice cream parlor for ice cream. They each paid $3.51 for their ice
cream, including an 8% sales tax.
What was the total cost of all three bowls of ice cream before tax was added?
$

Answers

Answer:

total cost - $3.23 per icecream cone no tax // cost is $9.69 all 3 ice cream cones no tax // solve by multiplying .08 by $3.51. you get .28 // subtract that from $3.51 to solve

help me pls and thank you​

Answers

Answer:

B

Step-by-step explanation:

2.25-2.25 is zero, the others have nothing to do with zero. A is a "distractor", but it ends up being 20.

What number represents the same amount of 2 hundreds, 14 tens, and 3 ones.

Answers

Answer:

i think the answer would be 343?

Step-by-step explanation:

find the length of the third side of the right triangle!!!!

Answers

Answer:

8

Step-by-step explanation:

There are two ways to solve this!

1. Use the Pythagorean Theorem

a^2 + b^2 = c^2

6^2 + b^2 = 10^2

100 - 36 = b^2

64 = b^2

8 = b

2. Shortcut using 3-4-5 triangles

A 3-4-5 triangle has to do with the ratios of each side.

In this case, it's 6-8-10, as each number is multiplied by two with the same 3-4-5 ratio. This is a good shortcut for these types of problems and will be handy on tests like the SAT as well! :)

(05.05)On the coordinate plane below, what is the length of AB?







O 8 units
9 units
13 units
14 units

Answers

The answer to this would be 14 units hope it helps :)


Green Leaf Lawn Care had 64 customers under contract at the start of the year. The company's owner expects his new radio advertisements will attract 2 new customers every week.
the radio commercials produce new customers exactly as the owner expects, which of these equations represents the number of customers ( Green Leaf Lawn Care will have after w weeks

Answers

Answer:

C. c = 64 + 2w

Step-by-step explanation:

You're starting with 64 customers and you're gaining 2 for each week.

good luck, i hope this helps :)

Find the value of x
O A.3
O B. 11
O c. 7
OD. 5

Answers

Answer:

Step-by-step explanation:

7x+13 = 48

7x = 35

x = 5

Answer:

D. 5

Step-by-step explanation:

The angle should equal 48 degrees as it is congruent to the other angle labeled as 48 degrees.

So, we get the equation 7x + 13 = 48

Subtract 13 from both sides.

7x + 13 - 13 = 7x

48 - 13 = 35

We get 7x = 35

Divide by 7 on both sides.

7x / 7 = x

35 / 7 = 5

We get x = 5.

A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show? 3,675 190 2,100

Answers

Answer:

3,675 people

Step-by-step explanation:

First row, a = 20

Common difference, d = 5

number of terms, n = 35

Sn = n/2 {2a + (n - 1)d}

= 35/2 {2*20 + (35 - 1)5}

= 35/2 {40 + ( 34)5}

= 17.5(40 + 170)

= 17.5(210)

= 3,675 people

The answer is actually 3675.

My reasoning: Plug it in and you shall see!

14 deliveries in 7 hours =
deliveries per hour?

Answers

Answer:

2

Step-by-step explanation:

14/7=2

Answer: 2 deliveries per hour.

Explanation: 14 ÷ 7 is 2. You can also check it by doing 2 x 7 to equal the 14 deliveries in 7 hours.

What is the measure of the missing angle in this triangle?

35°

60°

155°

25°

Answers

Answer:

25 is the answer.

Step-by-step explanation:

Hope this helps!!

write a equation for the following phrase 3 times a number plus 6 equal 9?

Answers

Answer:

3n + 6 =9

I hope im right!!

3n+6=9 is the answer of your work

At a holiday camp, the ratio of boys to girls is
3
:
4
and the ratio of girls to adults is
5
:
7
. What is the ratio of children to adults at the camp?

Input note: give the ratio in its simplest form.

Answers

Answer:

5:4

Step-by-step explanation:

Step-by-step explanation:

boys : girls : adults

3 : 4 :

5 : 7

15 : 20 : 28

children : adults

15 + 20 : 28

35 : 28

5 : 4

Can someone help? Ill do brainliest, Im trying to get my grades up- <33

Answers

Answer: The length of the hypotenuse (c) is 5

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a & b are the legs (b is the base)

c = hypotenuse

a = 4

b = 3

a² + b² = c²

4² + 3² = c²

16 + 9 = c²

25 = c²

√c² = √25

c = 5

a^2 + b^2 =C^2
3^2 +4^2= c^2
9+16=25^2

3n - 2 + 5n, when n = 4

Answers

Answer:

30

Step-by-step explanation:

3n-2+5n=8n-2

8(4)-2=32-2=30

Answer:

12 - 2 = 10 + 20 = 30

Already simplified it.

2.
When solving an equation that uses division, such as n/8 = 7, what inverse
operation should you use to solve for n?
a) Addition
b) Subtraction
c) Multiplication
d) Division

Answers

wlgptmdgns33wlgptmdgns33
The answer is Multiplication

the perimeter of a rectangle is 30 cm. The height is 5 cm . what is the area of that rectangle.​

Answers

Answer:

Pretty sure its 50

Step-by-step explanation:

if the height is 5, that would be multiplied by 2 because there are two identical sides. From the product, 10, you would need to get to 30, so you add 20. that means the other two identical sides are 10cm. 10x5 (length x width) is equal to 50.

Answer:

[tex]30 = 2 \times l + 2 \times b \\ 30 = 2 \times 5 + 2 \times b \\ 30 = 10 + 2b \\ 30 - 10 = 2b \\ 20 = 2b \\ = 20 \div 2 = 10 \\ area = l \times b \\ 5 \times 10 = 50cm {}^{2} [/tex]

What is the answers the question (a - b)^2

Answers

Answer:

(a-b)²

a²+b²- 2×a×b

a²+b² - 2ab

what is the domain of the function a^x

Answers

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Step-by-step explanation:

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...

The solution(s) are the domain of the function.

5h – 4 > 6 and 7h + 11 < 32

Answers

Answer:

iihi

Step-by-step explanation:

Answer:

h > 2

-------------------------

h < 3

Step-by-step explanation:

5h – 4 > 6

add 4 both sides

5h > 10

divide 5 both sides

h > 2

-------------------------

7h + 11 < 32

subtract 11 both sides

7h < 21

divide 7 both sides

h < 3

Find the number that makes the ratio equivalent to 72:96.

Answers

Answer:

72:96=72/12=6

So, 96/12=8

6:8

Answer:

3:4

Step-by-step explanation:

72/24:96/24 ( dividing numerator and denominator by 24)

=3:4

A bag contains 25 cards bearing number 1, 2, 3 …., 25 respectively. One card is drawn at random. What is the probability that number is divisible by 3?​



pls help

Answers

Answer:

8/25

Step-by-step explanation:

there are 8 numbers from 1 - 25 that are divisible by 3 because 25/3 = 8.3333..

Written out these would be:

3,6,9,12,15,18,21, and 24

so you ahve 8 out of a total of 25

Can someone please give me a simple explanation on exponential functions? I need to write a one page essay over what it is

Answers

Answer:

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function

Step-by-step explanation:

Giving BRAINLIEST for whosoever answers first.

Answers

Answer:

hiiii

Step-by-step explanation:

im not sure

Answer:

5+X=m hope this helps!

Step-by-step explanation:

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