Roads connecting the towns of Oceanside, River City, and Lake View form a triangle. The distance from Oceanside to River City is 38 kilometers. The distance from River City to Lake View is 26 kilometers. What is the smallest possible whole number of kilometers between Lake View and Oceanside?

Answers

Answer 1

Answer:

13 km

Step-by-step explanation:

By Triangle Inequality Theorem: The sum of two smallest sides is greater than the third side.

Small Values of X:

X + 26 > 38

X > 38 - 26

X > 12

If we know that 38 km is the longest side, then the sum of other two sides must be greater than 38 km. Therefore the minimum value of X is 13 km.


Related Questions

Order the fractions from least to greatest.
1
-1.25, 0.125,
1
4

Answers

Answer:

-1.25, -1/4, -1/8, 0.125

Step-by-step explanation:

Answer:-1.25, -1/4, -1/8, 0.125

Step-by-step explanation:

Pamela rides her bike to the park. If she rides at a speed of 12 miles per hour, it
takes her 45 minutes to get to the park. How long will it take her to get to the
park if she rides at a speed of 8 miles per hour? *

Answers

Answer:

well to tell you its easy 4 me

Can pls someone help with my homework pls I need help

Answers

Answer:

[tex] \sin(m < q) = \frac{7}{9} \\ \sin(m < q) =(0.77777777778) \\ m < q = { \sin 0.77777777778}^{ - 1} \\ m < q = (51.05755873102)[/tex]

Ben needs to replace two sides of his fence. One side is meters long, and the other is meters long. How much fence does Ben need to buy?

Answers

Answer:

696 39/100 meters

Step-by-step explanation:

Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?

Side A = 367 9/100 meters

Side B = 329 3/10 meters

How much fence does Ben need to buy?

Total fence Ben needs to buy = Side A + side B

= 367 9/100 + 329 3/10

= 36709/100 + 3293/10

= (36709+32930) / 100

= 69639/100

= 696 39/100 meters

Ben needs to buy 696 39/100 meters

I need help!!!
Find∠KML

Answers

Answer:

62

Step-by-step explanation:

180 - 56 = 124

124/2 = 62

5x-2y=15
2x+6y=-11
solve by substitution or equal values method

Answers

Answer:

Point form -

[tex](2-\frac{5}{2})[/tex]

Equation form -

[tex]x=2, y=-\frac{5}{2}[/tex]

Step-by-step explanation:

if you have any questions feel free to ask

A woman bought bars
of truck soap for #200. If
a bar is #2.50 more expensive.
She could have bought 2 less.
how many bars did she buy?​

Answers

Answer:

80

Step-by-step explanation:

200/2.50=80

Please helppp I need this for a better grade

Answers

Answer:

Step-by-step explanation:

Cos(x)=18/44=0.41

x=65.85

Norma builds a 1/8 scale Model of her own house.Her living room measures 12 feet by 28 feet. What are the dimensions of the models living room?

Answers

Answer:

1.5 feets by 3.5 feets

Step-by-step explanation:

Scale model = 1/8

Dimension of living room = 12 feets by 28 feets

The dimension of the model using the scale model given :

Scale model * dimension

1/8 * (12 feets by 28feets)

= 1.5 feets by 3.5 feets

Which of the following inequalities has the graphed solution below?
zzGroup of answer choices

x − 1 ≥ 0

x − 1 ≤ 0

x + 1 ≥ 0

x + 1 ≤ 0

Answers

I think either x + 1 >_0 or x - 1 >_0, but I personally would choose x + 1 >_0

There’s 10 in total I need help with

Answers

Answer:

8√2

Step-by-step explanation:

this one is a right triangle so both side are equal since the angle is 45 degrees

12 inches in this circle represents its

Answers

Answer:

I can't see the whole picture, but if it's half of the circle, it's the radius. if the line goes all the way through the circle, it's the diameter

Answer:

I think it’s the diameter

Step-by-step explanation:

The diameter of a circle is 63 centimetres find its circumference use pie = 3.14

Answers

Answer:

197.9

Step-by-step explanation:

The formula for circumference is 2(pi)r   and r is the radius

The diameter is two times the size of the radius, so by dividing the diameter by two, you can get the radius

So, r=63/2

r= 31.5

That means that 2(pi)(31.5) is the circumference

2(pi)(31.5) = 197.9 (rounded to the nearest tenth)

diameter= 63cm

63π = 197.92 =

Answer: 198cm if rounded by whole number.

Can someone help me find and answer an equation to the following math question : Natalie earns 5% commission on all electronics she sells.On Monday she sold a television for $1130 and a DR that cost $325. What was the total she earned in commission?

Answers

Answer:

She will make a total commission of $1130+$325=$1445

Then 5% of $1445= $1445×5%=$72,75

(a-1)+(b+3)i = 5+8i

please answer me quickly i need it please

Answers

Answer:

a = 6, b = 5

Step-by-step explanation:

Assuming you require to find the values of a and b

Given

(a - 1) + (b + 3)i = 5 + 8i

Equate the real and imaginary parts on both sides , that is

a - 1 = 5 ( add 1 to both sides )

a = 6

and

b + 3 = 8 ( subtract 3 from both sides )

b = 5

state four reasons why choice should be made in satisfaction human wants​

Answers

Since human wants are limitless it helps us to choose the best.
In order to avoid wastage of resources.
In order to pick the best from competitive products.
In order to choose the most urgent need.

The perimeter of a triangle is 44 inches. The length of one side is twice the length of the shortest side, and the length of the other side is eight inches longer than the length of the shortest side.
Choose a variable and tell what that variable represents.

Answers

Answer:

side a = Smallest = 9 inches

side b = 18 inches

side c = 17 inches

Step-by-step explanation:

The formula for the perimeter of a triangle = side a + side b + side c

side a = Smallest

The perimeter of a triangle is 44 inches.

The length of one side is twice the length of the shortest side

Hence:

b = 2a

The length of the other side is eight inches longer than the length of the shortest side.

Hence,

c = 8 + a

Hence, we substitute into the Intial formula

a + 2a + 8 + a = 44 inches

4a + 8 = 44

4a = 44 - 8

4a = 36

a = 36/4

a = 9 inches

Solving for b

b = 2a

b = 2 × 9 inches = 18 inches

Solving for c

c = a + 8

c = 9 inches + 8 = 17 inches

guys what is m=4 i really need help

Answers

Answer:

m equals four means that you need to multiply the 4 by what is infront of the m aka the 4

Victoria earns a gross annual income of $124,482 and is buying a home for $225,500. She is making a 20% down payment and financing the rest with a 30-year loan at 4.5% interest.

(a) What is the mortgage amount she will borrow?

(b) Can she afford this mortgage?

(c) What will her monthly mortgage payment be?

(d) What will her total payment for the house be?

(e) What is the amount of interest she will pay?

Answers

Answer:

(a) The mortgage amount she will borrow is $180,400

(b) Yes she can

(c) Her monthly payment will be approximately $914.06

(d) Her total repayment is approximately $329,061.6

(e) The amount of interest is approximately $148,661.6

Step-by-step explanation:

The details of the transactions are;

The gross annual income Victoria earns = $124,482

The cost price of the home she is buying, C = $225,500

The amount she is making as down payment = 20%

The duration the loan she id financing the rest with, t = 30-years

The interest rate on the loan, r = 4.5%

(a) The mortgage amount she will borrow, 'P', is the cost of the home less the down payment

The down payment = 20% of the cost of the home

∴ The down payment = (20/100) × $225,500 = $45,100

∴ P = $225,500 - $45,100 = $180,400

The mortgage amount she will borrow, P = $180,400

(b) Using the 2× to 2.5× gross income rule, we have;

2 × her annual income = 2 × 124,482 = 248,964

∴ 2 × her annual income > The mortgage = 180,400

She can afford the mortgage

(c) The monthly fixed payment for the mortgage is given as follows;

   [tex]M = P \times \dfrac{r}{n} \times \dfrac{\left(1+ \dfrac{r}{n} \right)^{n \cdot t}}{\left[\left(1 + \dfrac{r}{n} \right)^{n\cdot t} - 1\right]}[/tex]

Where;

n = The number of periods per year = 12 monthly periods per year

180,400*0.045*(1 + 0.045)^(30)/((1 + 0.045)^(30) - 1)

[tex]M = 180,400 \times \dfrac{0.045 }{12} \times \dfrac{\left(1+\dfrac{0.045 }{12}\right)^{30 \times 12}}{\left[\left(1 + \dfrac{0.045 }{12}\right)^{30 \times 12} - 1\right]} \approx 914.060298926[/tex]

Her monthly payment will be M ≈ $914.06

(d) The total repayment is given as follows;

n × t × M

∴ 12 × 30 × 914.06 = 329061.6

The total payment for the house = $329,061.6

(e) The amount of interest = The total payment - The principal loan amount

∴ The amount of interest = $329061.6 - $180,400 = $148,661.6

Bart designed a logo using circles of different sizes. The diameters of three of the circles are

shown. Which measurement is closest to the area of the largest circle in square centimeters?

A 20.7 cm2

B 136.8 cm2

C 34.2 cm2

D 65.1 cm

Answers

Answer:

B 136.8 cm²

Step-by-step explanation:

Add the diameters of the three smaller circles to find the diameter of the largest circle.

D = 3 cm + 2.5 cm + 1.1 cm = 6.6 cm

area = πr²

area = 3.14 × (6.6 cm)²

area = 136.8 cm²

Can someone answer all of them? Tysm!​

Answers

In a river bank

you can put the answers from the end

1.) 1/12

2.) 2/13

3.) 8/41

4.) 1/4

5.) 11/74

6.) 2/35

7.) 15/58

8.) 5/18

9.) 1/7

10.) 1/13

find the area of the following figure round to the nearest​

Answers

Answer:

lets divide the figure into two parts.

triangle base=2ft+2ft+6ft

triangle base=10ft

area of triangle = 1/2×base×height

area of triangle = 1/2×10ft×12ft

area of triangle =60ft²

area of square=side²

area of square=(6ft)²

area of square=36ft²

What’s the opposite of -5/8

Answers

The opposite of -5/8 is 5/8.
It’s 5/8, |-5/8| = 5/8

The perimeter of a piece of paper is 38 inches. Its length is 11 inches.

Find the area of the piece of paper.

Answers

Answer:

Buddy this might not be the correct answer but I got either 98 or 418 inches. Don't quote me on it though.

Step-by-step explanation:

John bought a $2,910 car on the installment plan.The installment agreement included a 15% down payment and 18 monthly installment payments of $161.56 each. A) How much is the down payment.B) What is the total amount of the monthly payments. C) what is the total cost he paid for the car. D) What is the finance charge.

Answers

9514 1404 393

Answer:

  down: $436.50

  payment total: $2,908.08

  total paid: $3,344.58

  finance charge: $434.58

Step-by-step explanation:

A) The down payment is 15% of the cost, so is ...

  0.15 × $2910 = $436.50

__

B) The total of the 18 monthly payments of $161.56 each is ...

  18 × $161.56 = $2908.08

__

C) The total amount paid for the car is the sum of the down payment and the  monthly payments:

  $436.50 +2,908.08 = $3,344.58

__

D) The finance charge is the difference between the amount paid and the original cost of the car:

  $3,344.58 -2,910 = $434.58

You have an order for an 8-gallon aquarium that is 20 in long and 10.5 in wide. How deep should the aquarium be?

Answers

Answer:

8.8

Step-by-step explanation:

-12 x (1/3)? what is this equal to!

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-12 times 1/3.

It's pretty much just -12x1, then divided by 3.

-12x1 is equal to -12.

Your equation is now simplified, making it easier to solve.

Your equation is: [tex]\frac{-12}{3}[/tex]

-12 divided by 3 is -4, because when a negative number is divided (or multiplied) by a positive number, the quotient (or product) is negative.

-12 x (1/3) = -12/3 = -4.

how do you put this writing expression into a equation;

A number added to 13 all divided by 2

Answers

Answer:

Step-by-step explanation:

Let x be the number.

(x + 13)/2

The lenght of an arc in a circle with radius 8 inches is 3.2π. determine the measure of the arc​

Answers

Answer:

72

Step-by-step explanation:

32pi×360/2pi(8)=72

central angle= arc length 360/2pi×r

The measure of the arc is 72 degree

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

The measure of the arc, we use the formula:

⇒ Arc length = (angle measure / 360°) x 2πr

where r is the radius of the circle.

Now, We know that;

The radius is 8 inches, and that the arc length is 3.2π inches.

So, we can plug in those values and solve for the angle measure:

3.2π = (angle measure / 360°) x 2π(8)

3.2π = (angle measure / 360°) x 16π

Divide both sides by 16π:

0.2 = angle measure / 360°

Multiply both sides by 360°:

Angle measure = 72°

Thus, The measure of the arc is 72 degree

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

(-4,9);m=-1/2
Write the equation in point slope form

Answers

Answer: y-9=-1/2 x (x+4)

Step-by-step explanation:

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