A box is designed to hold pencils. The front of the box will be made from a clear material for display. The rest of the box will be made from cardboard.


A prism has a length of 20 centimeters, height of 5 centimeters, and width of 4 centimeters.


What is the surface area of the side with the clear material?

Answer:

[tex]\angle L=\angle S[/tex] using congruence rule

Step-by-step explanation:

Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]

To prove: [tex]\angle L=\angle S[/tex]

Proof:

Two triangles are congruent if they have same shape and same size.

Consider triangles ALT and AST

AL = AS

As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]

AT = AT (common side)

So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )

Here, SAS denotes side-angle-side

[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)

Hence proved

Explanation:

First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.

Since A = A, we can remove A and it gives us m∠L = m∠S.

If you need to show work in math terms, your answer should look something like this:

1. △ ALT ≅ △AST - SAS

2. AL ≅ AS - Given

3. m∠ L ≅ m∠S

Hope this helped!

Answer:

Between -2 and 0

Step-by-step explanation:

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

Answer:

[tex]\frac{rise}{run} =\frac{4}{1} =4[/tex]

Step-by-step explanation:

Answer:

ln(216[tex]x^{4}[/tex] )

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

log [tex]x^{n}[/tex] ⇔ n log x

Given

3ln6 + 4lnx

= ln 6³ + ln[tex]x^{4}[/tex]

= ln (216[tex]x^{4}[/tex] )

Answer:

I think its 2

Step-by-step explanation:

I counted by ones and then i found that the pint is between 4 and 2 so when i divided 4 by 2 and i got 2

Answer:

Library's Area= 5200

Courthouse' Area= 5027

Larry is correct.

Step-by-step explanation:

Answer:

I think it is easier to calculat the surface area with a net.

You get to see the 3d picture in 2d so it is easy to find the area of the shape.

Answer:

C

Step-by-step explanation:

NO is not parallel to ML.

The answer is B. Loan given for a short period of time that is not dependent on credit history

I just took the quiz and I am big brain.

A loan given for a short period of time that is not dependent on credit history is called a easy - access credit.

Credit is the ability to borrow money or access goods or services with the understanding that you'll pay later.

Given is the easy-access credit.

Easy access credit refers to very short-term and usually very high interest loans. It's a fancy way of saying payday loans, pawn shop transactions, or title loans.

Therefore, a loan given for a short period of time that is not dependent on credit history is called a easy - access credit.

To solve more questions on credits, visit the link below-

https://brainly.com/question/29632930

#SPJ2

Answer: 90% of the time.

Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.

Answer:

Its D

Step-by-step explanation:

Answer:

3x^2 +8x -10=-8

Step-by-step explanation:

A quadratic equation is

ax^2 + bx +c=0

has a formula

-b ± sqrt( b^2 -4ac)

--------------------------

  2a

We know a = 3   b = 8 and c = -2

3x^2 +8x -2=0

Subtract 8 from each side

3x^2 +8x -2 -8=0-8

3x^2 +8x -10=-8

That is choice C

Answer:

C.

Step-by-step explanation:

Consider equation C:

3x^2 + 8x - 10 = -8

3x^2 + 8x - 2 = 0

Here a = 3, b = 8 and c = -2

Applying the quadratic formula:

x  = [-b +/-  √(b^2 - 4ac)] / 2a

x = [-8 +/- √(4(3)(-2)] / 2(3)

- which is the one in the question.

So it is equation C.

Answer: [tex]-2x^3-14x^2+7x-4[/tex]

Step-by-step explanation:

[tex](3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)[/tex]

Distribute the negative sign.

[tex](3x^3-2x^2+4x-8)-5x^3-12x^2+3x+4[/tex]

Remove the other parentheses.

[tex]3x^3-2x^2+4x-8-5x^3-12x^2+3x+4[/tex]

Combine like terms.

[tex]-2x^3-14x^2+7x-4[/tex]

Answer:

(- 6, 10 ) and (- 1, 5 )

Step-by-step explanation:

Given the 2 equations

y = x² + 6x + 10 → (1)

y = - x + 4 → (2)

Substitute y =  x² + 6x + 10 into (2)

x² + 6x + 10 = - x + 4 ( subtract - x + 4 from both sides )

x² + 7x + 6 = 0 ← in standard form

(x + 1)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 6 = 0 ⇒ x = - 6

Equate these values into (2) for corresponding values of y

x = - 1 : y = - (- 1) + 4 = 1 + 4 = 5 ⇒ (- 1, 5 )

x = - 6 : y = - (- 6) + 4 = 6 + 4 = 10 ⇒ (- 6, 10 )

Answer:

B.

Step-by-step explanation:

The shape of data distribution is "symmetric".

Answer:

6\25

Step-by-step explanation:

Answer:

a=he went back home

b=speed=240km/h

Step-by-step explanation:

ps: wouldn't mind brainliest

Answer:

a) Jo moved 1 kn from her starting position at minute 10

b) 0.13 km/min

Step-by-step explanation:

Look at the picture

Answer:

the answer is O 2x (x2-1)(2x+ 3)

Answer:

The correct answer is 2x^2(x^2 + 1)(2x - 3)

Step-by-step explanation:

First, you would factor out a single factor out of all of them, which is 2x^2. So, you would have 2x^2 (2x^3 - 3x^2 + 2x - 3) Then, you would use double grouping. When you have double grouped, you will have x^2(2x-3) and 1(2x-3) for the factors. The final factors for that is (x^2 + 1) and (2x - 3), then you would just put 2x^2 in the front to give you the final factorization and the correct answer stated at the top.

Answer:

what prism?

I've done the same test before so I know the answer is 6 cm3

Could you please include the picture of the prism next time?

Step-by-step explanation:

Answer:

Im a bit late but the answer us 6 cm3

Step-by-step explanation:

The formula to find the volume of a triangular prism is

(1/2 x length x width) x height

or in other words

base x height

The base is the triangle on the side of the prism.

Answer:

i used calculator and got 1

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

8 + 10 - 6k = 6(4 - k)

Distribute

8 + 10 - 6k = 24 -6k

Combine like terms

18 -6k = 24 -6k

Add 6k  to each side

18 - 6k +6k = 24 - 6k+6k

18 = 24

This is never true so there are no solutions

Hey there! I'm happy to help you out!

To solve for k, we have to isolate it on one side of the equation and put all the constants on the other side.

The first thing we need to do is get the k on the right side out of parentheses. To do this, we will use the distributive property!

8+10-6k=24-6k

Now, we will combine like terms.

18-6k=24-6k

We want to get all the ks on the left side and all the constants on the right. Let's add six k to both sides to cancel out the -6k on the right.

18=24

As you can see, our variables canceled out. This is because our equation was saying 18 minus six of something was equal to 24 minus six of something, which makes no sense because that doesn't work!

We are left with 18=24, which isn't even a true equation! Therefore, there is no solution to this equation.

I hope that this helps! Have a wonderful day!

Answer:

1) Negative (because y value decreases from left to right)

2) Undefined (a vertical line has undefined slope because it fails the vertical line test infinite times)

3) Positive (because y value increases from left to right)

Step-by-step explanation:

Answer:

You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even

Step-by-step explanation:

Answer:

=82%

Step-by-step explanation:

64:78*100=82%

Answer: Is there a total for how many kids like each? If there isn't than this is how I would solve it. For percentage purposes let's say there are 100 students. 50 like math, 50 like science. Half of the students who like math also like science, which means 75 percent of the school likes science. A third of students who like science also like math, and since 75 percent of the school of 100 children likes science, that would mean 1/3 of that is 25, which would mean 75 percentof all students like math. Hence the ratio, I believe, is 1 to 1.

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

Answer:

well if you add the third of students to math and the third of students from science I think thats the answer

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

(-1,2)

Step-by-step explanation:

Found answer on brainly.

Answer:

(-1,2)

Step-by-step explanation:

In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).

(1,-2)×(-1x, -1y)= (-1,2) .

if both points were negative, the points would be positive. if they were positive, they would be negative.