The ratio of the measures of the sides of a
triangle is 3:4:6 and its perimeter is 91 inches.
What is the length of the longest side?

Answers

Answer 1

42 inch

The perimeter of the ratio triangle is 6+4+3=13
Divide that into the actual triangle perimeter to get the scale 91/13=7

Multiply that scale times the longest side of the ratio (6)
7x6 = 42

To check do the other two as well
7x3=21 and 7x4=28
Add them up to check the perimeter
42+21+28=91

And 42 was the longest side

Related Questions

50
Question 6
At the local zoo, the ratio of monkeys to tigers is 6:4 and there are 20 tigers, how many
monkeys are at the zoo?
30
13
40
3
133

Answers

Answer:

Step-by-step explanation:

HELP ASAP !!!!!

Find the products in simplest form.

Answers

Answer:

1. 5/42

2. 9/20

Step-by-step explanation:

(hope this helps!)

A curve is represented by the parametric equations x=t , y=3t^2 find the area under the curve from t=1 to t=2

Answers

Answer:

[tex]\displaystyle A = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Pre-Calculus

Parametric to Rectangular Form Conversion

Calculus

Integrals - Area under the curve

Area of a Curve Formula: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx[/tex]

Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Step-by-step explanation:

*Note:

The area under the curve is essentially the definition of an integral.

Step 1: Define

Parametric

x = t

y = 3t²

1 ≤ t ≤ 2

Step 2: Rewrite

Rewrite parametric to rectangular form and change bounds of integration.

[Parametric] Substitute in t: y = 3x²[Parametric] Plug in values of t [Bounds]: 1 ≤ x ≤ 2

Step 3: Find Area

Integration.

Substitute in variables/function [Area]: [tex]\displaystyle A = \int\limits^2_1 {3x^2} \, dx[/tex][Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = 3\int\limits^2_1 {x^2} \, dx[/tex][Area] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = 3(\frac{x^3}{3}) \bigg| \limit^2_1[/tex][Area] Evaluate [Integration Rule - Fundamental Theory of Calculus 1]: [tex]\displaystyle A = 3(\frac{2^3}{3} - \frac{1^3}{3})[/tex][Area] (Parenthesis) [Fraction] Evaluate exponents: [tex]\displaystyle A = 3(\frac{8}{3} - \frac{1}{3})[/tex][Area] (Parenthesis) Subtract: [tex]\displaystyle A = 3(\frac{7}{3})[/tex][Area] Multiply: [tex]\displaystyle A = 7[/tex]

Topic: AP Calculus AB/BC

Unit: Area under the curve

Book: College Calculus 10e

Mei runs 77.4 miles in 5 weeks. If she runs 3 days each week, what is the average distance she runs each day?

The average distance she runs each day is ____ miles.

Answers

Answer:

5.16

Step-by-step explanation:

We multiply the number of weeks by the number of days to find the total amount of days that she ran:

5 weeks × 3 days/week = 15 days

We are looking for the amount of miles/day (which represents the number of miles per day).

So, we take [tex]\frac{77.4miles}{15days}[/tex]= 5.16 miles/day

First factor out the greatest common factor from each term. Then factor the remaining polynomial.

Answers

The answer is : B B B B B B B B B B B B

. La suma de 1/4 + 5/8 = *
cuál es la respuesta

Answers

Answer:

La respuesta es 7/8

Step-by-step explanation:

Find the exact value of each of the remaining trigonometric functions of theta.
Rationalize denominators when applicable.
sin theta= [tex]\sqrt{\frac{3}{7} }[/tex] given that theta is in quadrant I.
cos theta=
csc theta=
sec theta=
tan theta=
cot theta=

Answers

Answer:

See answers below

Step-by-step explanation:

Given that sin theta = √3/√7

Opposite =√3

Hypotenuse = √7

Get the adjacent

Adj² = (√7)²-(√3)²

Adj² = 7-3

Adj² = 4

Adj = √4

Adj = 2

Cos theta = adj/hyp = 2/√7

csc theta= 1/sin theta = 1/(√3/√7) =

√7/√3

sec theta= 1/costheta = 1/(2/√7) = √7/2

tan theta= opp./adj = √3/2

cot theta =1/tan theta = 1/(√3/2) = 2/√3

= 2√3/3

Circle A has a radius of 10 centimeters. and are tangent to circle A.

If AC = 26 cm, what is BC?
A)20cm
B)24cm
C)26cm
D)[tex]2\sqrt{194} cm[/tex]

Answers

Step-by-step explanation:

the answer is in the pic I posted! hope It helps...mark brainliest please!

The measure of BC is 24 cm. So, option B is correct.

Important information:

The diagram of a circle A with two tangents.Radius of circle A is 10 cm.AC = 26 cm

We need to find the measure of BC.

Tangent to circle:

We have,

AD = AB = 10 cm

We know that the radius of a circle is perpendicular to the tangent at the point of tangency. It means triangle ABC is a right angle triangle.

Using the Pythagoras theorem, we get

[tex](AB)^2+(BC)^2=(AC)^2[/tex]

[tex](10)^2+(BC)^2=(26)^2[/tex]

[tex](BC)^2=676-100[/tex]

[tex](BC)^2=576[/tex]

Taking square root on both sides, we get

[tex]BC=\sqrt{576}[/tex]

[tex]BC=24[/tex]

The measure of BC is 24 cm. So, option B is correct.

Find out more about 'Tangent to circle' here:

https://brainly.com/question/1503247

A car dealership increased the price of a certain car by 13%. The original price was $47400 what is the new price?

Answers

The answer would be 53,562. You would multiply 47400 by 1.13 to get your answer. Hope this helps!

Andrea is 58 inches tall. Her dad is 6 ft 2 inches tall. Howmany inches taller is Andrea's father than Andrea.

Answers

6'2 = 74 inches.

74-58 = 16

16 inches taller.

Hope this helps ^^

uesday
Write 784,000 in each form,
Word:
Expanded

Answers

Standard: 784,000

Word: seven hundred eighty-four thousand

Expanded: (700,000) + (80,000) + (4,000)

Can you please help me with this? I'm kinda confused.

Answers

The answer is A and B. :)

Two numbers are such that one number is 456 more than the second number and their average is equal to 433. What are the two numbers?

Answers

Answer:

hope it may help you

Step-by-step explanation:

one number = 661

second number = 205

PS 5.1- Solving
9. The ratio of leaders to followers was 2:7. If there were a total of 108 people, how many were followers?

Answers

Answer:

Step-by-step explanation:

108 / (7+2) = 12

7 x 12 = 84

Answer:

Step-by-step explanation:

y = mx+c

Where

m is slope of line

Put all the values,

y = -4x+c

Put x = 1 and y = 0

So,

0 = -4(1)+c

c = -4

So, the required equation is :

y = -4x-4

A120
B108
C135
D144

Please help me

Answers

Answer:

B - 108

Step-by-step explanation:

A regular pentagon is 540 degrees. Divide 540 by 5 (since there are five sides) which equals 108 degrees.

A) 120°,
since three of those z angles can be shown. That would be 360°.

Which number is NOT in the solution set of x + 6 < 142
-0)
A)
3
B)
5
C)
7
D)
11
Please help

Answers

C? I think I’m not really sure

WILL MARK BRAINLIEST!

Answers

Answer:

Use the slope formula

m = (y₂ - y₁)/(x₂ - x₁)

Points A(a, b) and B(c, d)

m = (d - b)/(c - a)

Points A(-7, a) and B(c, d)

m = (d - a)/(c - (-7)) = (d - a)/(c + 7)

Solve for x
Please help!!!!!

Answers

Answer:

Step-by-step explanation:

19x-4=17x+8

2x=12

x=6

Answer:

Step-by-step explanation:

19x-4=17x+8

19x-17x=8+4

2x=12

x=12/2

x=6

I have no idea what to do any help is appreciated.

Answers

Answer:

C) x²-2x-15=0

Step-by-step explanation:

You could put both -3 and 5 in the equations to guess and check, but the better way is to use them to create the factors. If -3 is a root, one of the factors must be (x+3). If 5 is a root, the other factor must be (x-5).

(x+3)(x-5)

x²-5x+3x-15=0

x²-2x-15=0

Step-by-step explanation:

x2+2x_15:1234589098988888

60 points! Please help me fast this is due soon. I will mark brainliest. Random answers will be reported.

Answers

Answer:

k = 1/4, m = 16

Step-by-step explanation:

Scale factor is the ratio of the corresponding sides:

k = 7/28 = 1/4

Find m using the scale factor:

m*1/4 = 4m = 16

Answer:

scale factor is 4 and m is 16.

Step-by-step explanation:

This is because these are similar rectangles, so the proportion of each side to the congruent side is the same. This means that to get from 7 to 28 u multiply by a scale factor of 4, and to get m you would multiply 4 by 4.

for what value of x do the expressions 4x+3 and -2x-6 have the same value

Answers

Answer:

x= -[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

just equal both of the equations and solve for x

Help
=================

Answers

Answer:

8 in²

Step-by-step explanation:

The area of a triangle is always base times half height. Since this triangle has a 90° corner, the vertical 4 inch is also the height.

So area is 4*4/2 = 8

Hi if you know this pls answer it thank you!!

Answers

Answer: it is b

Step-by-step explanation: just count how many lines between x and x' to the right its positive to the left its negative

please solve this problem.

Answers

Answer:

a= 14^2 or 196

b= 48^2 or 2304

c= 50^2 or 2500

Step-by-step explanation:

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The ratio of the measures of the sides of a triangle is 3:4:6 and its perimeter is 91 inches. What is the length of the longest side?

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The ratio of the measures of the sides of a
triangle is 3:4:6 and its perimeter is 91 inches.
What is the length of the longest side?