What is the solution to this system?

Answer:

The total surface area of the prism is 620 cm²

Step-by-step explanation:

The total area of the prism = lateral area + 2 (area of the cross-section)

The lateral area = perimeter of the cross-section × height

∵ The cross-section of the prism is an isosceles triangle

∵ The sides of the triangle are 13 cm, 13 cm, 24 cm

∵ The perimeter of the triangle is the sum of its sides

∴ The perimeter = 13 + 13 + 24 = 50 cm

∴ The perimeter of the cross-section = 50 cm

∵ The height of the prism is 10 cm

→ Use the rule of the lateral area above to find it

∴ The lateral area of the prism = 50 × 10 = 500 cm²

∵ The area of the triangle = [tex]\frac{1}{2}[/tex] × base × height

∵ The base of the triangle = 24 cm

∵ The height of the triangle = 5 cm

∴ The area of the triangle =  [tex]\frac{1}{2}[/tex] × 24 × 5 = 60 cm²

∴ The area of the cross-section = 60 cm²

→ Substitute the lateral area and the area of the cross-section in the rule

  of the total surface area above

∵ The surface area = 500 + 2(60)

∴ The surface area = 500 + 120

∴ The surface area = 620 cm²

∴ The total surface area of the prism is 620 cm²

Answer:

4x+36

Step-by-step explanation:

4*x+4*9

4x+36

Answer:

A, C, and D

Step-by-step explanation:

Answer:

there is no shape below

Answer:

$45

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 = 8 parts

Divide the amount by 8 to find the value of one part of the ratio.

$120 ÷ 8 = $15 ← value of 1 part of the ratio, thus

3 parts = 3 × $15 = $45 ← amount David received

Answer:

$45

Step-by-step explanation:

ratio is 3:5

David gets 3x, Jack gets 5x

So, 3x+5x=120

8x=120

x=15

David got 3x = 3*15 = $45

Step-by-step explanation:

Decagon = 10-sided polygon

Perimeter of 10 sides = 513m

Perimeter of 1 side = 513m/10 = 51.3m.

Answer:

9 hours

Step-by-step explanation:

For this problem, we simply need to rewrite the goal length, 3/5 miles, into our ratio of time length equivalence, 1 hour per 1/15 miles.  To do this we find the common denominator to be 15 and rewrite it as so:

3/5

= 3*3 / 5 * 3

= 9 / 15

And since it takes 1 hour per 1/15 mile of road, we can perform the division to find the amount of time:

9/15 / 1/15

= 9/15 * 15/1

= ( 9 * 15 ) / ( 15 * 1 )

= 9 / 1

= 9

Hence, it will take the crew 9 hours to repave the road.

Cheers.

Answer:9 hours

Step-by-step explanation:

3/5x3/3 = 9/15.

Answer:

-4

Step-by-step explanation:

I went ahead and just added it to get that answer however if you need it subtracted from one another the answer is 10

Hope this helps please mark me the brainliest! Peace and love

Answer:

3+(-2) +(-5)

3 -2 -5= - 4

adding a negative is the same as subtracting a positive.

Answer:0.75 milligrams will  be present in 24 hours

Step-by-step explanation:

Step 1

The formula for radioactive decay can be written as

N(t)=No (1/2)^(t/t 1/2)

where

No= The amount of the radioactive substance at time=0=milligrams

t 1/2= the half-life= 6 hours

t=24 hours

N(t) = the amount at time t

Step 2--- Solving

N(t)=No (1/2)^(t/t 1/2)

=N(t)=12 x ( 1/2) ^ (24/6)

= 12 x (1/2) ^4

= 12 x 0.0625

= 0.75 milligrams

Answer:

(1)

Step-by-step explanation:

Given

[tex]\frac{2x}{a}[/tex] + b = c ( subtract b from both sides )

[tex]\frac{2x}{a}[/tex] = c - b ( multiply both sides by a to clear the fraction )

2x = a(c - b) ← distribute

2x = ac - ab ( divide both sides by 2 )

x = [tex]\frac{ac-ab}{2}[/tex] → (1)

Answer:u did it wrong

Step-by-step explanation:

Answer:

12 1/4 cups

Step-by-step explanation:

Add the morning and the afternoon amounts together

2 1/4 + 10 1/4

12 2/4

Simplify the fraction

12 1/4 cups

Step-by-step explanation:

hope it is helpful to you

Answer:

Aristotle

Step-by-step explanation:

Aristotle is widely known as a Greek philosopher. His works cover a wide range of topics and subjects, including subjects relating to science, arts, and finance.

Throughout his lifetime as a philosopher he was known to utilize logic, preparing empirical observations, and performing dissections as all part of his scientific studies.

Hence, in this case, the correct answer is ARISTOTLE

Answer:

A) 240 games are not defective

Step-by-step explanation:

1% of 250 = 2.5

*4                *4

4% of 250 = 10

250 - 10 = 240

240 games are not defective

Answer:

x = 8

Step-by-step explanation:

The attached figure shows the angle pair representation.

Here, two lines are cut by a transversal. It means the corresponding angles are equal i.e.

37 = 6x-11

37+11 = 6x

6x = 48

x = 8

Hence, the value of x is 8.

Answer:

20 cups are in 5 quarts

Step-by-step explanation:

Answer:20 cups

Step-by-step explanation:because each cup is 0.25 quarts

plz leave a like

Answer:

-7/8 is greater

Step-by-step explanation:

-4/5=-0.8

-7/8=-0.875

To find the greater fraction, we can use the butterfly method.

[tex](-\frac{4}{5} )(- \frac{7}{8} )[/tex]

[tex]-\frac{4\times8}{5\times7}=\frac{32}{35}[/tex]

Therefore, [tex]-\frac{4}{5}[/tex] is greater than [tex]-\frac{7}{8}[/tex].

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

0

Step-by-step explanation:

Undefined slopes are vertical, this is horizontal

hope this helps

hope this helped

1. The triangle is congruent by ASA postulate

2. The triangle is congruent by SSS postulate

3. The triangle is congruent by SAS postulate

4.  The triangle is congruent by SSS postulate

5. The triangle is congruent by SAS postulate

6. The triangle is congruent by SSS postulate

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

1.The triangle is congruent by ASA postulate

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

2. The triangle is congruent by SSS postulate

If all three sides of a triangle are congruent to corresponding three sides of other triangle then the two triangles are congruent.

3. The triangle is congruent by SAS postulate

if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

4.  The triangle is congruent by SSS postulate

5. The triangle is congruent by SAS postulate

6. The triangle is congruent by SSS postulate

Hence 1. The triangle is congruent by ASA postulate

2. The triangle is congruent by SSS postulate

3. The triangle is congruent by SAS postulate

4.  The triangle is congruent by SSS postulate

5. The triangle is congruent by SAS postulate

6. The triangle is congruent by SSS postulate

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Answer:

it's a)25

Step-by-step explanation:

angle MHL and JHN+NHK should be the same, they both are 95 degrees

Answer:

45°

Step-by-step explanation:

first of all find X

(3x+20) - (x+25) =x + 20

3x+20-x-25=x+20

3x-x+20-25=x+20

2x-5=x+20

collect like terms

2x-x=20+5

x=25°

recall JHN= (x+20)°

x=25

JHN=((25)+20)°

JHN=(25+20)°

JHN=45°

Hope it is helpful

Answer:

1 3/4 cups of flour

1/3 cup oil

1 1/2 teaspoons baking powder

3/4 cups sugar

1/2 teaspoons salt

1 egg

3/4 cups milk

1/4 teaspoon cinnamon

I hope this is right!

Step-by-step explanation:

Looks like I can update my answer!

Okay...the recipe is...

Doughnut muffins

Yields: 36 muffins

5 1/4 cups of flour

1 cup oil

4 1/2 teaspoons baking powder

2 1/4 cups sugar

1 1/2 teaspoons salt

3 eggs

2 1/4 cups milk

3/4 teaspoon cinnamon

Alright, it looks as though what you need to do here first is to turn everything into improper fractions. This would result in:

21/4 cups of flour

1/1 cup oil

9/2 teaspoons baking powder

9/4 cups sugar

3/2 teaspoons salt

3/1 eggs

9/4 cups milk

3/4 teaspoon cinnamon

Then, divide everything by three...

7/4 cups of flour

1/3 cup oil

3/2 teaspoons baking powder

3/4 cups sugar

1/2 teaspoons salt

1/1 egg

3/4 cups milk

1/4 teaspoon cinnamon

...and simplify.

1 3/4 cups of flour

1/3 cup oil

1 1/2 teaspoons baking powder

3/4 cups sugar

1/2 teaspoons salt

1 egg

3/4 cups milk

1/4 teaspoon cinnamon

There you go!

Answer:

hello

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Nadine and Trevor both conducted an experiment but Nadine conducted with four possible outcomes and Trevor doubled the trials, therefore, Trevor will have more experimental outcomes than Nadine because he doubled the trials. Moreover, Trevor's experimental probability is more likely closer to theoretical probability than Nadine's, therefore option 'A' and 'C' are correct.

Answer:  

Trevor has more experimental outcomes than Nadine.  

Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]P=2L+2W[/tex]

[tex]P-2L=2W[/tex] (Subtract 2L from both sides of the equation)

[tex]2W=P-2L[/tex] (Symmetric Property of Equality)

[tex]W=\frac{P-2L}{2}[/tex] (Divide both sides of the equation by 2)

[tex]W=\frac{P}{2} -\frac{2L}{2}[/tex] ("Split" the fractions)

[tex]W=\frac{1}{2}P-L[/tex] (Simplify)

Hope this helps!