What is the biggest whole number smaller than the perimeter of any triangle with a side of length 5.6 and a side of length 19.7?

Answer:

[tex]3.5725 * 10^5[/tex]

Step-by-step explanation:

Given

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.

Required

How many grains of sand would there be in a 5-gallon container?

Let x represent the number of grains in 5 gallon; So, From the question, we have that;

8 cups = 3.5725 * 10^4

5 gallon = x

Cross Multiply

x * 8 cups = 5 gallon * 3.5725 * 10^4

Recall that 1 gallon = 16 cups

[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]

[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]

Divide both sides by 8

[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]

[tex]x = 10 * 3.5725 * 10^4[/tex]

[tex]x = 3.5725 * 10^5[/tex]

Hence, the number of grains of sand in  5 gallon is [tex]3.5725 * 10^5[/tex]

Answer:

[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]

Step-by-step explanation:

The question we have at hand is, in other words,

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]

If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]

Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,

[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,

[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]

At this point we have to multiply the rows of the first matrix by the rows of the second matrix,

[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,

[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...

[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.

Answer:

The average rate of speed needed is 76 miles/hr.

Step-by-step explanation:

From the provided data, we can conclude two points:

Form an equation representing the distance left to Brent's destination, d, based on the amount of time he has spent driving, t.

[tex](d-d_{1})=\frac{d_{2}-d_{1}}{t_{2}-t_{1}}\cdot (t-t_{1})\\\\(d-470)=\frac{258-470}{7-3}\cdot (t-3)\\\\d-470=-53(t-3)\\\\d=-53t+159+470\\\\d=629-53t[/tex]

The speed of a vehicle is:

[tex]speed=\frac{distance}{time}\\\\\Rightarrow distance=speed\times time[/tex]

So distance is directly proportional to the speed, i.e. as speed increases the distance covered also increases and as speed decreases the distance covered also decreases.

So, if Brent’s average speed had been faster or slower on his trip, the distance left to be covered would decrease or increase accordingly.

Consider the provided information:

3 hours of driving → 470 miles left

7 hours of driving → 258 miles left.

That in 4 hours Brent covered 212 miles.

Speed at which he was driving was:

[tex]speed=\frac{distance}{time}=\frac{212}{4}=53\ \text{miles/hr}[/tex]

Now it is provided that after 9 hours of driving, Brent plans to stop at a hotel for the night.

That is he drove for another 2 hours at the same speed, i.e. 53 miles/hr.

Compute the distance covered between 7 hour to 9 hour as follows:

[tex]distance = speed\times time=53\times 2=106\ \text{miles}[/tex]

Remaining distance = 258 - 106 = 152 miles.

If Brent wants to reach his destination in 11 hours of driving then he has to cover the remaining 152 miles in the next 2 hours.

Compute the speed as follows:

[tex]speed=\frac{distance}{time}=\frac{152}{2}=76\ \text{miles/hr}[/tex]

Thus, the average rate of speed needed is 76 miles/hr.

Answer:

WHAT DOES THE SLOPE OF THE LINE REPRESENT????

Step-by-step explanation:

Answer:

(2x+1)(x-3) is the factorized form of the given expression

Step-by-step explanation:

=2x^2-5x-3

By using sum and product rule

=2x^2-6x+1x-3

By taking common

=2x(x-3)+1(x-3)

=(2x+1)(x-3)

I hope this will help you :)

Answer:

(x-3)(x+1/2)

_____________________________________

Answer:

Option A : 200, 250, 300, 350, 400, 450

Add 50 to each weekly result

Option B : 200, 220, 242, 266.2, 292.82, 322.1

Mutiply the weekly result with 110/100

Answer:

r = 4 cm

A(circle) = π·r²

= π·(4cm)²

= 3.14·16cm²

= 50.24 cm²

d = 18 in

d = 2r => r = d/2 = 18in/2 = 9 in

A(circle) = π·r²

= 3.14·(9in)²

= 3.14·81in²

= 254.34 in²

Answer:

102 minutes

Step-by-step explanation:

If you have to work 60 hours in five weeks, there are seven days in a week so I multiply 7 by 5 (5 being the number of weeks) and I divide that by 60, getting 1.7 hours a day, which is 102 minutes. Hope this helped!

Answer:

Hey there!

60 hrs in 5 weeks is equal to 3600 minutes in 35 days.

So, each day you would have to do 102.86 minutes.

Hope this helps!

Answer:

Number Line B

Step-by-step explanation:

Let's simplify the inequality.

7x + 9 > -5

7x > -14

x > -2

The number line that represents this is B.

Answer:

50 units.

Step-by-step explanation:

It is given that HGJL is a parallelogram and diagonals intersect each other at point K.

[tex]HK=c-7,JK=3c-33,GK=c+12[/tex]

We now that diagonals of parallelogram bisect each other. So,

[tex]HK=JK[/tex]

[tex]c-7=3c-33[/tex]

[tex]33-7=3c-c[/tex]

[tex]26=2c[/tex]

Divide both sides by 2.

[tex]13=c[/tex]

Now,

[tex]GK=c+12=13+12=25[/tex]

Diagonals of parallelogram bisect each other. So,

[tex]GL=2(GK)=2(25)=50[/tex]

Therefore, the measure of GL is 50 units.

Answer:

GL = 50 units

Step-by-step explanation:

Answer:

-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer

Step-by-step explanation:

plz give me brainlist

Answer:

5^5

Step-by-step explanation:

Answer:

+ 8/5

Step-by-step explanation:

Reciprocal is flip

Take the negative flip

- ( - 1 /(5/8))

+ 8/5

Answer:

8/5

Step-by-step explanation:

The reciprocal of a number is 1/that number.

So, the reciprocal of -5/8 is [tex]1/\frac{-5}{8}[/tex]= 1 times 8/-5

8/-5 is the reciprocal of -5/8.

However, we are looking for the negative reciprocal.

So, multiply the number by negative 1.

[tex]\frac{8}{-5} (\frac{-1}{1}[/tex]) = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

a = 4

▹ Step-by-Step Explanation

a + 2 = 6

Subtract 2 from both sides

2 - 2 = crossed out

6 - 2 = 4

Final Answer

a = 4

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

a=4

Step-by-step explanation:

If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)

Answer:

True

Step-by-step explanation:

The volume of a cube depends on the length of its sides.

To find the volume, you will need only one side measurement, because a cube has all lengths equal.

V = a³

True.

Volume of cube is [tex]V=a^3[/tex] where [tex]a[/tex] is cube's side. Thus volume depends on sides.

Hope this helps.

Answer:

The line segment's position changes, but its length remains the same.

Step-by-step explanation:

When a line segment is translated, it only will move its position up, down, or to the side.

The slope and length will stay the same, but the position will change.

So, this answer is correct because the position changes but not the length.

Answer:

For Part B let's add up how many scores there were in total which is 3 + 7 + 7 + 8 + 5 = 30. 30 / 5 = 6 so the answer is 6 rounds.

Answer:

Options (1), (5) and (10)

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are congruent and parallel.

2). Opposite angles are equal.

3). Consecutive angles are supplementary.

4). Diagonals bisect each other.

Therefore, from the given options the correct options are,

Option (1) - Has two pair of parallel sides

Option (5) - Both pairs of opposite sides are congruent.

Option (10) - The diagonals bisect each other

Answer:

20

Step-by-step explanation:

lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d

combinations include:

Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed

however, it isn't necessary to write out all the combinations as you could just do 5*4=20.

Answer:

D.24

Step-by-step explanation:

100/5=20

100/25=4

20/5=4

Answer:

four

Step-by-step explanation:

fourths = 4 pieces

Answer:

t and u are parallel lines

 s and t are also parallel lines

Step-by-step explanation:

If two parallel lines are cut by a transversal ,

then in it

pair of alternate angle are equals, similarly vice versa

if pair of alternate angle are equals then lines are parallel

pair of corresponding angles are equal and vice-versa

for example

in the given problem

if line t and u are parallel (note we have assumed this to give example of parallel lines)

then angle 7 and 9 are called alternate angles

pair of angles 5 and 9 are corresponding angles.

________________________________________________

given

∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,

thus t and u are parallel lines

___________________________

∠1 = ∠3 as they vertically opposite angles

and we know that pair of  vertically opposite angles are equal

given

∠1 = ∠7

thus

∠3 = ∠7

as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line  s and t are also parallel.

Answer:

[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot

Step-by-step explanation:

We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot

We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?

i) [tex]-\frac{7}{8}[/tex]

So, this location is not  higher than [tex]\frac{-3}{4}[/tex]foot

ii)[tex]-\frac{1}{4}[/tex]

So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]

So, this location is higher than[tex]\frac{-3}{4}[/tex] foot

iii) - 1 foot

[tex]-1 < \frac{-3}{4}[/tex]

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

iv)-2 feet

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

v)[tex]\frac{-5}{8}[/tex]

So, this location is higher than [tex]\frac{-3}{4}[/tex]foot

Answer: B, E

Step-by-step explanation:

The guy above is right but just to make it more easy

Answer:

10, -5, -11

Step-by-step explanation:

f(x) = - 3x-5

f(-5) = -3(-5) - 5 => 15 - 5 => 10

f(0) = -3(0) - 5 => 0 - 5 => -5

f(2) = -3(2) - 5 => -6 - 5 => -11

The value of the function at x = –5, 0, 2 will be 10, –5, and –11.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

b: -23 -25

Step-by-step explanation:

im sorry if its not correct

Answer:

16?? not sure.......

The exact values for the intersection point is (20/9, -107/9)

Given the system of equation expressed as;

y = −13x + 17;

y = 5x - 23

Since they are both y-values, we will equate both expressions to have:

-13x + 17 = 5x - 23

-13x - 5x = -23 - 17

-18x = -40

x = 40/18

x = 20/9

Substitute x = 20/9 into equation 2:

y = 5x - 23

y = 5(20/9) - 23

y = 100/9 - 23

y = -107/9

Hence the exact values for the intersection point is (20/9, -107/9)

Learn more on solution to equations here: https://brainly.com/question/13729904

Answer:

The answer is 7.5 and 14.5

( 7.5 , 14.5 )

Step-by-step explanation:

Answer:

y = 19.4

x = 14.1

Step-by-step explanation:

Data

From definition:

sin(54°) = opposite/hypotenuse

Replacing with data and solving for y:

sin(54°) = y/24

sin(54°)*24 = y

19.4 = y

From definition:

cos(54°) = adjacent/hypotenuse

Replacing with data and solving for x:

cos(54°) = x/24

cos(54°)*24 = x

14.1 = x

Answer:

Step-by-step explanation:

Surface area of a hemisphere is 2πr²

Where r is the radius

radius = diameter / 2

From the picture diameter = 60ft

Therefore

radius = 60/2 = 30ft

Surface area of the hemisphere is

2π(30)²

= 2(900)× 3.14

= 1800 × 3.14

= 5652ft²

Hope this helps you

Answer:

Your answer would be 5652ft squared

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

6+9x^2

Rewriting in decreasing powers of x

9x^2 +0x + 6

ax^2+bx+c

a = 9

b =0

c = 6

Answer: 39

Step-by-step explanation:

Because the vertex of the angle is at the center of the circle, the arc would be equal to it. Hope this helped:)

Answer:

37°

Step-by-step explanation:

39 = 1/2(41 + DE)

78 = 41 + DE

37 = DE