A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?

Answer:

60°

Step-by-step explanation:

180° in a triangle.

180° ÷ 3 = 60°

The measure of each of the given angles of a triangle is 60°.

Given is that all three angles of a triangle are congruent.

Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -

∠A = ∠B = ∠C = X°

and also we can write -

X° + X° + X° = 180°

3X° = 180°

X° = 60°

Therefore, the measure of each of the given angles of a triangle is 60°.

To solve more questions on congruent triangles, visit the link below -

https://brainly.com/question/22062407

#SPJ2

y = -2x + 24

hope this is helpful!

Answer:

y+2x=24

Step-by-step explanation:

the equation of the line: y=1/2x -9

Get the slope by using derivative:

dy/dx= 1/2

dy/dx= slope of the normal line

Since we are looking for slope of the tangent line:

Use Mn=-1/Mt

The slope of the tangent line is -2

Using point slope form:

(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2

y-10=-2(x-7)

y-10=-2x+14

ANSWER: y+2x=24

Answer:

Slope of the line (m): 2.0

Y-intercept of the line (b): 2.0

Slope Intercept Form (y = mx + b): y = 2x + 2

Step-by-step explanation:

Slope intercept calculator lol

g(−3)=2

g(0) = 3g(0)=3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)g(−3)

g(x) = 3g(x)=3

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2g(−3)=2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

The function is given as:

[tex]f(x) = -2x^2 +6x - 3[/tex]

See attachment for the graph of function f(x).

From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.

Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

0

Step-by-step explanation:

Jordan hasn't got enough money to buy any books, as $11.40<$280.

Answer:  

2 hours:  3968  [I don't understand the $ sign in the answer box]

At midnight:  12137

Step-by-step explanation:

The bacteria are increasing by 15% every hour.  So for every hour we will have what we started with, plus 15% more.  

The "15% more" can be represented mathematically with (1 + 0.15) or 1.15.  Let's call this the "growth factor" and assign it the variable b.  b is (1 +  percent increase).

Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450

At the end of the second hour we're increased by 15% again:

(3450)*(1.15) = 3968.

Each additional hour add another (1.15) factor,  If we assign a to be the starting population, this can be represented by:

P = a(1.15)^t for this sample that increase 15% per hour.  t is time, in hours.  

If a represents the growth factor, and P is the total population, the general expression is

P = ab^t

Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM.  That is a 10 hour period, so t = 10

P = (3000)*(1.15)^10

P = 12137

Answer:

????????????????

Step-by-step explanation:

??????????????????????????????????

Answer: the x or the input of a function

Step-by-step explanation:

3. the answer is 8

6. the answer is 7

Answer:

48/8=6

56/7=8

Step-by-step explanation:

48÷ 8 = 6

56÷ 7 = 8

a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .

b. The car's value  after 8 years is $5,934.79.

c. The decrease in the value of the car is  $11,283.41.

The formula that can be used to determine the value of the car with a decline in value is:

FV = P (1 - r)^n

FV = Future value of the car  

P = cost of the car

R =rate of deprecation  

N = number of years

Cost of the car after n years = $26,350 x (1 - 0.17)^n

$26,350(0.83^n)

Car's value  after 8 years = $26,350 x (1 - 0.17)^8

$26,350(0.83^8) = $5,934.79

Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years

Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59

$26,350 - $15,066.59 = $11,283.41

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:2

Step-by-step explanation:

15/3 = 5

15/2 = 7.5

+1

= 13

15 - 13 = 2

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

Explanation:

The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.

The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.

Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.

Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}

We see that the following trees aren't marked: {2,6,8,12,14}

There are  5   items in that last set.

Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.

Answer:

50.8 degrees is the third angle

Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

Answer:

-5x / 9x - 18

Step-by-step explanation:

= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying rule : ( a ) = a

then, ( 3x - 7 ) = 3x - 7

= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying the fraction rule : -a/b = a/b

= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= -5x / 9x - 8. Answer!

Answer:

SAS similarity

Step-by-step explanation:

The two triangles MON and MQP are such that

Angle M = Angle M

MO/MQ = MN/MP

Therefore, Triangle MON ~ Triangle MQP (SAS similarity)

Answer:

The formula of pi is approximately 3.14 2×3.14

For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

brainly.in/question/21297587

Keith is saving money for a car. He has saved the same amount ...

brainly.in/question/14056417

Answer:

a is possible

b is not possible

c is possible

Answer:

Ok A and C are both proportional because it goes through the origin.

Step-by-step explanation:

If the line doesn't start or go through the origin will not be proportional. So If the line went through or started from the origin will be proportional. Which leaves B as Non-proportional graph.

Step-by-step explanation:

-2a + x

Putting values of a = - 2 and x = 7

-2(-2) + 7

4 + 7

= 11

h(x) = g(f(x))

Take f(x) and plug it into g(x).

g(f(x)) = sqrt{4x}

g(f(x)) = sqrt{4(3x^3 + 8x^2)}

g(f(x)) = sqrt{12x^3 + 32x^2}

We are done.

Answer:

h(x) = sqrt{12x^3 + 32x^2}

The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Given the following fnctions

[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]

The composite function g(f(x)) is expressed as:

[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Learn more on composite function here: https://brainly.com/question/10687170

Answer:

12

Step-by-step explanation:

So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.

-> TIPS: 4x 1,50= 6 (dollars)

-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)

-> 1 SALAD: 48/4=12

-----------linear equation:-------------

54 = 4 x 1,5 + 4 x c

54 = 6 + 4c

48 = 4c

12 = c

Using the Central Limit Theorem, it is found that the correct option is:

The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475

Answer:

its b

Step-by-step explanation:

on usatp

Answer:

459

Step-by-step explanation:

15×15×2+10-1

15×15= 225 × 2 +10 - 1

225 × 2= 450 + 10 -1

450 + 10 = 460 - 1

460 - 1 = 459

A little true story:

A five your old boy (little boy blue( was out with is siblings when he fell over a bridge and passed away. Now at the very same river he passed all you have to do is go up there turn off your lights and put baby powder all over you car and sit and wait. Soon enough you will see a little blue light and than little hand prints on your car.

Answer:

12

Step-by-step explanation:

A regular hexagon has 6 equal sides

2 times 6 = 12

Answer:

10.4m²

Step-by-step explanation:

A≈10.39m²

A=33

2a2=3·3

2·22≈10.3923m²

= 10.4m²