the diagram shows a prism whose cross-section is an equilateral triangle of lengths 10cm. the length of the prism is 20cm​

Answer:

To evaluate an expression, first calculate the

powers, then multiply and divide in order from

left to right, and finally add and subtract in order

from left to right. Parentheses have preference.

example: 14 − 3

2

= 14 − 9 = 5

example: 2• 4 + 3•5 = 8 +15 = 23

example: 10 − 2 • 3

2

=10 − 2 • 9 =10 −18 = −8

example: (10 − 2) • 3

2

= 8•9 = 72

Problems 1-7: Find the value:

1. 2

3

= 5. 0

4

=

2. −2

4

= 6. (−2) 4

=

3. 4 + 2•5 = 7. 1

5

=

4. 3

2

− 2 • 3+1=

Problems 8-13: Find the value if a = −3, b = 2 ,

c = 0, d = 1, and e = −3:

8. a −e = 11. e

d

+

b

a

−

2d

e

=

9. e

2

+ (d − ab)c = 12. b

e

=

10. a −(bc − d) + e = 13. d

c

=

Step-by-step explanation:

To evaluate an expression, first calculate the

powers, then multiply and divide in order from

left to right, and finally add and subtract in order

from left to right. Parentheses have preference.

example: 14 − 3

2

= 14 − 9 = 5

example: 2• 4 + 3•5 = 8 +15 = 23

example: 10 − 2 • 3

2

=10 − 2 • 9 =10 −18 = −8

example: (10 − 2) • 3

2

= 8•9 = 72

Problems 1-7: Find the value:

1. 2

3

= 5. 0

4

=

2. −2

4

= 6. (−2) 4

=

3. 4 + 2•5 = 7. 1

5

=

4. 3

2

− 2 • 3+1=

Problems 8-13: Find the value if a = −3, b = 2 ,

c = 0, d = 1, and e = −3:

8. a −e = 11. e

d

+

b

a

−

2d

e

=

9. e

2

+ (d − ab)c = 12. b

e

=

10. a −(bc − d) + e = 13. d

c

=

[MA]:

x = -8

x = 3

x = -15

The explanation:

5x + 20 = 3x + 4

5x = 20 - 20 = 3x + 4 - 20

subtract = subtract = 5x = 3x - 16

5x = 3x - 16

5x - 3x = 3x - 16 - 3x

7x - 4 = 3x + 8

7x - 4 + 4 = 3x + 8 + 4

7x = 3x + 12

7x = 3x + 12

7x - 3x = 3x + 12 - 3x

2x + 6 = x - 9

2x + 6-6 = x - 9-6

2x = x - 15

2x = x - 15

2x - x = x - 15 - x

x = - 15

Answer:

$698.75

Step-by-step explanation:

Washer - 350$

Dryer - 300$

Total of these two items = 650$

1% of 650$ = 6.5$

$6.5 x 7.5% = 48.75

Tax - 48.75$

350 + 300 + 48.75 = 698.75

Answer:

£7.80 per hour

Step-by-step explanation:

Increase of 4%

= 7.50 x 1.04

= £7.80 per hour

Answer:

£7.8

Step-by-step explanation:

Amt she earned per hour = £7.50

Amt of increase = 4%

Amt she is earning currently =

£7.50*1.04 = £7.8

Answer:

A: [tex]csc(\theta)[/tex]

Step-by-step explanation:

Let's rewrite the expression in terms of sine and cosine, then simplify what can be simplified.:

[tex]sin(\theta) \cdot \frac{cos^2(\theta)}{sin^2(\theta)}\cdot \frac 1{cos^2(\theta)} =\\\frac1{sin(\theta)} = csc(\theta)[/tex]

Answer:

54

Step-by-step explanation:

x=5/4 and y=15/16

hopefully this will help with your questions

Step-by-step explanation:

1) A corresponds to F (your screen shot is cut off, that option is not shown)

2) E) B corresponds to D

3) F) C corresponds to E

4) H) angle A corresponds to angle F

5) B) angle B corresponds to angle D

6) A) angle C corresponds to angle E

7) C) side AB corresponds to side FD

8) D) side BC corresponds to side DE

9) G) side AC corresponds to side FE

10) A.

of course they are similar. being congruent means that if you turn them to have the same orientation and then move them on top of each other, they cover each other up perfectly. so, in essence, they are even equal.

of course, being equal makes them also similar ...

11. D.

12. A.

Answer: ECB and ABC

lmk if im wrong :)

Answer:

a^8/256

Step-by-step explanation:

hope this helps!!

Answer:

It tastes the same!

Step-by-step explanation:

Hope you have a wonderful day!!

If it helped mark me as brainliest!

Answer:

3 vertices

Step-by-step explanation:

Vertices are the "points" of a 2D figure. In this case, we see the 2D figure as a triangle. There are 3 points on the triangle, so there are 3 vertices.

Answer: 100

Step-by-step explanation:

[tex]\frac{3}{4} = \frac{75}{x}[/tex]

3 x 25 = 75

4 x 25 = 100

Answer:

D is correct

Step-by-step explanation:

First we find 20% of the price and subtract it

[tex]45*0.20=9\\45-9=36[/tex]

Next we find how much tax would be

[tex]36*0.0825=2.97[/tex]

then we add the two amounts together to get the final price

[tex]36+2.97=38.97[/tex]

Answer:

The carpet will cost $52.

Step-by-step explanation:

hope this helps!!!

The approximate surface area of this right triangular prism is 193.2cm

The surface area of a triangular prism is expressed as:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Perimeter of the base = 6 + 6 + 6

Perimeter of the base = 18cm

Length of the prism = 9cm

Base area = 1/2 * 5.2 * 6
Base area  = 15.6cm

Determine the surface area

Surface area = (18 * 9) + 2(15.6)

Surface area = 162 + 31.2

Surface area = 193.2 cm

Hence the approximate surface area of this right triangular prism is 193.2cm

learn more on rectangular prism here; https://brainly.com/question/477459

I think the right Answer 8/3

Answer:

8/3

Step-by-step explanation:

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

We have to determine,

What is the weight of each circle?​

According to the question,

Let the weight of each circle be x.

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

The hanger is in the balanced state then the sum of all weight of the left-hand side is equal to the sum of all weight of the right-hand side.

Left hand side weight = x+ x + x+ 4 = 3x+4

Right hand side weight = 12

Then,

The hanger is in a balanced state, the weight of each circle is given by,

The weight of the left-hand side = the weight of the right-hand side

The value of x is 8/3.

Hence, The weight of each circle is 8/3.

Answer:

1st is -120-x

2nd is -x-12

It says, 

|x| = x, for any x >= 0 and

|x| = -x, for any x < 0 Now, instead of x, we have the expression x+120 inside the absolute value brackets:

|x+120|

Play the same game as above - what is the absolute value here?

|x+120| = x+120 for (x+120)>=0 and|x+120| = -(x+120) for (x+120)<0

Step-by-step explanation:

hope this helps. And please give me brainliest

Answer: B. 12

Step-by-step explanation:

Get a calculator, or solve using long division. Boom ez

if you have trouble with division then ask your teacher for help or search on internet

3864 / 322 = 12

Answer:

An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number. Again, the decimal expansion of an irrational number is neither terminating nor recurring.

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction: 1.5 is rational, but π is irrational.

√2, √3, √5, √11, √21, π(Pi) are all irrational.

Hope this helps please mark brainliest :)

Answer:

8x⁵y⁷

Step-by-step explanation:

4x²y³ × 2x³y⁴ = 8x⁵y⁷

Answer:

$125

Step-by-step explanation:

pls mark brainly, tyy

Answer:

  x = 8

Step-by-step explanation:

In this geometry, all of the triangles are similar right triangles. That means corresponding sides are proportional. The proportion you write will express that relation for the sides you are given.

  long side / short side = x/4 = 4/(x-6)

Multiplying this proportion by 4(x-6) gives ...

  x(x -6) = 16

We can add 9 to complete the square.

  x^2 -6x +9 = 16 +9

  (x -3)^2 = 25

  x -3 = 5 . . . . . . . take the square root (only the positive root is of interest)

  x = 8 . . . . . . . . . add 3

Answer:

b, the area is 978 square inches.

Step-by-step explanation:

Just do it step by step, and one polygon at a time.

Answer:

x = 10

Step-by-step explanation:

Since the pentagons are similar you can say...

4x cm/48 cm = x cm/(x+2) cm

Now do cross multiplication with this equation, so 4x is multiplied with (x+2) and 48 is multiplied with x... you end up with:

4x^2+8x = 48x, now subtraction 8x from 48 x....

4x^2 = 40x, and divide one x from each side

4x = 40, therefore x = 10

Mr. Kelly knows that one side of his house is 20 feet long and it takes him six strides to walk the same distance. How long

is the other side of his house if it takes him 8.5 strides to walk it?

28.33 ft

Let that be x

Ratio remains same

[tex]\\ \rm\rightarrowtail \dfrac{6}{20}=\dfrac{8.5}{x}[/tex]

[tex]\\ \rm\rightarrowtail 6x=20(8.5)[/tex]

[tex]\\ \rm\rightarrowtail 6x=170[/tex]

[tex]\\ \rm\rightarrowtail x=170/6[/tex]

[tex]\\ \rm\rightarrowtail x=28.3ft[/tex]

Answer:

1: Function

2: Function

3: Not a function

4: Function

Step-by-step explanation:

1: Not a function

2: Function

3: Not a function

4: Function

REMINDER: If a x value has two diffreent y values, it is NOT a function!!!!

Have an amazing day!!

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