Paula's time swimming in the Ironman Triathlon was 1 hour 25 minutes. Her time biking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. How long did it take her to complete all three parts of the race? Use the model to help you organize your thinking.

9514 1404 393

Answer:

  2

Step-by-step explanation:

If n is the larger integer, n-1 is the smaller. The difference of consecutive integers is 1, so their sum is ...

  n +(n -1) = 3(1)

  2n = 4 . . . . . . . . . add 1

  n = 2 . . . . . . . . . . divide by 2

The larger integer is 2.

Answer:

2

Step-by-step explanation:

The larger number r={2}

PREMISES

r+s=3(r-s)

ASSUMPTIONS

Let r=s+1

Let s=s

CALCULATIONS

(s+1)+s=3[(s+1)-s]

2s+1=3[(s-s)+1]

2s+1=3(0+1)

2s+1=3(1)

2s+1=3

2s+(1–1)=3–1

2s+0=3–1

2s=2

2s/2=2/2

s=2/2

s=

{1}

And if s=1, then

r=s+1=

{2}

PROOF

If r, s={2,1}, then the equations

(1) r+s=3(r-s)

(2) 2+1=3(2–1)

(3) 2+1=3(1) and

(4) 3=3 prove the roots (zeroes) r, s={2,1} of the statement r+s=3(r-s)

HOPE THIS HELPS! :]

Answer:

3x+2=11

Step-by-step explanation:

it has an equal sign

an inequality uses less than or more than

Answer:

C. 4

Step-by-step explanation:

All other answer choices involve the variable 'b' and/or are tied to it in some way. The sole number 4 has no connection to the variable b, therefore it is C. 4.

could you maybe put the multiple choice list so someone can help :))

Answer:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution:

V=πr2h=π·42·8≈402.12386

9514 1404 393

Answer:

  1. vertex: J, sides: JH and JK

  5. angle 3, angle M, angle LMN, angle NML

  10. angles 1, 3, 6, HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

Step-by-step explanation:

Your question has too many parts for the kind of answers Brainly is intended to provide. So, we hope to alleviate your confusion by providing examples of the way these questions are answered.

__

An angle can be named by any of ...

Note that angle ABC consisting of rays BA and BC sharing end point B can also be named angle CBA.

__

1. The rays share end point J. That is the vertex of the angle. The rays are named using the end point first, so the rays in this diagram are JH and JK.

The vertex is J; the sides are JH and JK.

__

5. We note there is an angle designator inside near the vertex, point M. That designator can be used to name the angle: angle 3.

There are only two rays that meet at vertex M, so the angle can also be named by naming the vertex: angle M.

The angle can also be named by naming an point on each ray, with the vertex in the middle: angle LMN or angle NML.

The four ways to name this angle are: angle 3, angle M, angle LMN, angle NML.

__

10. All of the angles with numeric designators have V as a vertex. Those angles are angle 3, angle 1, angle 6.

In this case, we cannot use V to name an angle, because many angles have vertex V. That name would be ambiguous, not referring to a specific angle.

The other angles that have V as a vertex can be named by naming their rays. There are 4 rays that meet at vertex V. Any two will identify an angle. There are 4·3 = 12 permutations of 4 rays taken 2 at a time. For example, if we choose to use rays VJ and VK as the two rays of our angle, we can name it two ways: JVK or KVJ. (This particular angle is also angle 1.)

So, the angles that have V as a vertex are ...

  angles HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

Answer:

25 Hours

Step-by-step explanation:

He Needs $205

He Has $30

He Makes $7 Per Hour

[tex]205 - 30 = 175[/tex]

[tex]175 \div 7 = 25[/tex]

He Will Need To Work For 25 Hours To Reach His Goal

Step-by-step explanation:

using formula that cos= b/h

Answer:

option 3

Step-by-step explanation:

Answer:

0.53

Step-by-step explanation:

8/8 =         1

4.24/8 = 0.53

1/0.53 = 0.53

Answer: 0.53 :D

Answer:

I think its About 0.53 per orange.     Sorry if my answer is wrong

Step-by-step explanation:

Answer:

Step-by-step explanation: 24

Answer:

48 is my best guess

Step-by-step explanation:

Answer:

x=38

Step-by-step explanation:

Vertically opposite angles are equal, therefore equate the 2 angles opposite each other.

2x+5=3x-33

2x-3x= -33-5

-x= -38

x=38

Answer:

Because they are vertical angles:

(2x +5) = (3x-33)

combine like terms

5= x-33

x= 38

Step-by-step explanation:

hope this helps you

Answer:

a= 31

b=92

c=44

Step-by-step explanation:

Answer:

It is not.

Step-by-step explanation:

For XY to be a tangent XY must be perpendicular to radius at point of contact with circle (X).

Perpendicular also means 90° angle between XY and radius.

90° angle means XYZ should be a right angled triangle

Test for right angle triangle: pythagoras theorem.

3.6²+2.7²≠1.8²

Hence not right angled. XY not a tangent.

The Pythagoras theorem is not applicable thus it will not be tangent to the circle Z.

The tangent of a circle is a line that intersects the circle at the periphery of the circle.

If you draw a line that goes through the center to the tangent touching point then it will give you a 90-degree angle.

If XY is tangent to the circle then ∠YXZ = 90° so ΔXYZ will be a right angle triangle.

Apply Pythagoras' theorem,

1.8² ≠ 3.6² + 2.7²

Since it is not satisfied thus angle X will be not 90 degrees thus XY will not tangent to the circle Z.

Hence "Since the Pythagorean theorem does not apply, it will not be tangent to the circle Z".

For more information about the tangent of the circle,

brainly.com/question/23265136

#SPJ2

Answer:

.4

Step-by-step explanation: have a good day

Answer:

Yes, it is

Step-by-step explanation:

When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle.

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

Answer:

26 1/2 (C)

Step-by-step explanation:

Turn the mixed number into a improper fraction and turn 6 into a improper fraction

6/1*53/12

Cross Multiply 6 can into 12 twice

1/1*53/2

Just Multiply

53/2

Turn into a Mixed Number

26 1/2

Hope this helps!!!

Have a great day!!!! :)

Answer:

[tex]g(x) = (x - 2) ^{2} - 1[/tex]

[tex]g(x) = (x + 1)^{2} + 3[/tex]

Answer:

[tex]\frac{2-s}{4}=r[/tex]

Step-by-step explanation:

One solves a literal equation just like a normal algebraic expression with numbers, with inverse operations. Only that with a literal equation, there is a limit to how much one can simplify.

Inverse operations;

2 = 4r + s

-s         -s

2 - s = 4r

÷4       ÷4

[tex]\frac{2-s}{4}=r[/tex]

Answer:

38.48 inches

Step-by-step explanation:

A = πr²

r = d/2

r = 3.5

A = π(3.5)²

A = 12.25π ≈ 38.48

what is your question then?

Answer:

wow that's a lot of rain

Step-by-step explanation:

(It falls at a rate of 2/3 of an inch per hour if that's what you were having trouble with??)

Answer:

x=8

Step-by-step explanation:

x+6=2x-2

8=x

The largest perfect square that divides 350584416 is 58430736

The number is given as: 350584416

Express the number as the product of its factors

350584416 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 7 x 13 x 13

Express the numbers as exponents

350584416 = 2^5 * 3^3 * 7^4 * 13^2

Rewrite the product as:

350584416 = 2^4 *2 * 3^2 * 3 * 7^4 * 13^2

Reorder the factors

350584416 = 2^4 * 3^2 * 7^4 * 13^2  * 2 * 3

Express the product as a product of a perfect square

350584416 = (2^2 * 3 * 7^2 * 13)^2  * 2 * 3

Write out the perfect square (k)

k = (2^2 * 3 * 7^2 * 13)^2

Evaluate the product

k = (7644)^2

Evaluate the exponent

k = 58430736

Hence, the largest perfect square that divides 350584416 is 58430736

Read more about perfect squares at:

https://brainly.com/question/16450266