Raquel is cutting out pieces of cardboard to make a pyramid. She will use a square piece for the base and identical triangular pieces for the sides. The figure above shows the dimensions of the triangle for each side. What will be the total surface area, in square inches, of the pyramid, including the square base?​

9514 1404 393

Answer:

Step-by-step explanation:

Let x, y, z represent the numbers of 20-cent, 35-cent, and 50-cent valentines. Then the given relations can be written as ...

  x = 1 +2y

  z = -2 +y

  0.20x +0.35y +0.50z = 4.20

__

Using the first two equations to substitute for x and y in the third equation, we get ...

  0.20(1 +2y) +0.35y +0.50(-2 +y) = 4.20

  1.25y -0.80 = 4.20 . . . . . simplify

  1.25y = 5.00 . . . . . . . . . . add 0.80

  y = 4 . . . . . . . . . . . . . . . divide by 1.25

  x = 1 +2(4) = 9

  z = -2 +4 = 2

Romeo bought 9 20-cent, 4 35-cent, and 2 50-cent valentines.

Answer:

92170

I hope it's helps you

Step-by-step explanation:

125cm = 1.25m.

2m : 1.25m = 8:5

Answer:

a) 0.025£ b)3825£

Step-by-step explanation:

a) 5200-200=5000 - of the value will be lost after reaching the milleage of 200000 miles

200000-5000

1-x

200000=5000/x

x=5000/200000= 5/200=1/40=0.025£- the depreciation cost per mile

b)0.025*55000= 1375- the decreasing of the price

5200-1375=3825£- the book value of the car after it has driven 55000 miles

Answer:

Step-by-step explanation:

Apply the natural log to both sides we have

[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]

Step-by-step explanation:

B)1.supplementary

2.complementary

3complementary

4supplementary

5supplementary

6complementary

C)1.40

2.35

3.63

4.130

Answer:

d. 0.25q+0.10d

Step-by-step explanation:

Because quarters are equivalent to 0.25 and dimes are 10 cents, option d is correct.

The expression to find the total amount of money in Andrea's jar is: 0.25q + 0.10d.

Thus, option (D) is correct.

A quarter is worth $0.25, and the number of quarters is represented by q.

A dime is worth $0.10, and the number of dimes is represented by d.

To calculate the total amount of money, multiply the value of each coin by the respective quantity and sum them up.

So, the expression to find the total amounts is 0.25q + 0.10d

Here, expression accounts for the value of each coin (0.25 for a quarter and 0.10 for a dime) and multiplies it by the corresponding quantity to obtain the total amount of money in dollars.

Thus, option (D) is correct.

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Answer:

Ten

Step-by-step explanation:

5000/500 = 10

Answer: 10 times as many 5 hundreds

Step-by-step explanation: five times five hundreds equals 5,000

Answer:

[tex]x = 9 \\ y = 3 \\ xy = x \times y = 9 \times 3 \\ = 27[/tex]

Answer:

Step-by-step explanation:

Let the height above which the ball is released be  H  

This problem can be tackled using geometric progression.

The  nth  term of a Geometric progression is given by the above, where  n  is the term index,  a  is the first term and the sum for such a progression up to the  Nth  term is

90,000 units of the product has to be sold each year in other to break even.

The old established price = 42 per unit :

The break even unit is the number of units sold such that the net profit = 0

(expenses - income) = 0

The expenses = (Fixed cost + variable cost)

Fixed cost = 540000

Fixed cost = 540000Variable cost per unit = 36

Let the number of units required to break even = x

Expenses = income or revenue

(540000 + 36x) = 42x

540000 + 36x = 42x

540000 = 42x - 36x

540000 = 6x

x = 540000 / 6

x = 90000

Hence, 90,000 units has to be sold at the old established price in other to break even.

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Answer:

If two vectors are perpendicular, then their dot-product is equal to zero. The cross-product of two vectors is defined to be A×B = (a2_b3 - a3_b2, a3_b1 - a1_b3, a1_b2 - a2*b1). The cross product of two non-parallel vectors is a vector that is perpendicular to both of them.

Step-by-step explanation:

Answer:

the value of N should be -1

Answer:

I don't know jdjdjdcisveobeobeoxbepxbeoxbwp

Answer:

c)9

Step-by-step explanation:

f(x)=2x+1

f(1)=2(1)+1

f(1)=2+1

f(1)=3

g(x)=7/4 x+1

g(-4)=7/4 (-4)+1

g(-4)=-7+1

g(-4)=-6

f(1)-g(-4)=3-(-6)

=3+6

=9

Step-by-step explanation:

the explanation is in the diagram above

Answer:

So, 23, 29, 31, 37, 41, 43 and 47 these are the prime numbers between 20 and 50.

Step-by-step explanation:

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Answer:

So the prime numbers between 20 and 50 are so easy

- 23, 29, 31, 37, 41, 43 and 47

these are the prime numbers between 20 and 50

Step-by-step explanation:

Hope it helps

Answer:

87

Step-by-step explanation:

f(x)=19x+11

Let x = 4

f(4) = 19*4 +11

     =76 +11

     = 87

Answer:

[tex]f(x) = 19x + 11 \\ f(4) = 19 \times 4 + 11 \\ = 76 + 11 \\ = 87 \\ thank \: you[/tex]

Step-by-step explanation:

let the number

[tex] = x[/tex]

Then:

[tex](3x - 14) = 53 \\ 3x = 53 + 14 \\ 3x = 67 \\ x = 67 \div 3 = 22.33[/tex]

Answer:

[tex]number = x \\ 3x - 14 = - 53 \\ 3x = - 53 + 14 \\ 3x = - 39 \\ x = \frac{ - 39}{3} \\ x = - 13 \\ thank \: you[/tex]

Answer:

27

Step-by-step explanation:

Answer:

The answer is 2,157

Step-by-step explanation:

15,099÷7=2,157

Answer:

The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.

What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

The measure of angle 4 for the given parallel lines and angle is equal to 26°.

In the figure the parallel lines and the transversal forms angle 1 , angle 2 , and angle 4.

As per the diagram,

Angle 1 is vertically opposite angle to angle 2.

This implies,

Measure of angle 1 = Measure of angle 2.

Here, Measure of angle 1 =  26 degrees.

⇒ Measure of angle 2 = 26 degrees ( vertically opposite angles)

Now , Angle 2 and angle 4 are corresponding angles.

⇒measure of angle 2 = measure of angle 4

⇒ Measure of angle 4 = 26 degrees.

Therefore, the measure of angle 4 is equal to 26°.

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Step-by-step explanation:

153^2×7

163863

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Answer:

10.89

Step-by-step explanation:

3.3 to the power of two is just saying 3.3 squared. which is just multiplying the number by itself.

so 3.3 times 3.3 = 10.89

Answer:  77 feet

Explanation:

Because all sides are the same for a regular hexagon, we simply divide the perimeter by 6 to get the side length.

side length = perimeter/6 = 462/6 = 77 feet

Answer:

x= –4/5 , x= 2

Step-by-step explanation:

5x²-6x-14=-6

5x² –6x –14 +6=0

5x²–6x –8=0

(5x+4)(x-2)=0

x=–4/5

x=2

Hi! I'm happy to help!

To solve this, we simply have to replace x with the given values.

First, we have -14, let's apply that:

(5·(-14²))-(6·(-14))-14=

Now, let's solve (using the order of operations):

(5·(-14²))-(6·(-14))-14=

(5·196)-(6·(-14))-14=

980-(6·(-14))-14=

980-(-84)-14=

980+84-14=

1064-14=

1050=

1050≠-6

Option 1 is incorrect.

Next, let's substitute 14 for x:

(5·14²)-(6·14)-14=

Now, let's solve:

(5·14²)-(6·14)-14=

(5·196)-(6·14)-14=

980-(6·14)-14=

980-84-14=

896-14=

880=

880≠-6

Option 2 is incorrect.

Now, let's substitute -7 for x:

(5·(-7²))-(6·(-7))-14=

Now, let's solve:

(5·(-7²))-(6·(-7))-14=

(5·49)-(6·(-7))-14=

245-(6·(-7))-14=

245-(-42)-14=

245+42-14=

287-14=

273=

273≠-6

Option 3 is incorrect.

Now, let's substitute 7 for x:

(5·7²)-(6·7)-14=

Now, let's solve:

(5·49)-(6·7)-14=

245-(6·7)-14=

245-42-14=

203-14=

189=

189≠-6

Option 4 is incorrect.

Now, let's substitute -2 for x, and solve:

(5·(-2²))-(6·(-2))-14=

(5·4)-(6·(-2))-14=

20-(6·(-2))-14=

20-(-12)-14=

20+12-14=

32-14=

18=

18≠-6

Option 5 is incorrect.

Now, let's substitute 2 for x and solve:

(5·2²)-(6·2)-14=

(5·4)-(6·2)-14=

20-(6·2)-14=

20-12-14=

8-14=

-6=

-6=-6

Option 6 is correct.

Now, let's substitute -1 for x and solve:

(5·(-1²))-(6·(-1))-14=

(5·1)-(6·(-1))-14=

5-(6·(-1))-14=

5-(-6)-14=

5+6-14=

11-14=

-3=

-3≠-6

Option 7 is incorrect.

Now, let's substitute 1 for x and solve:

(5·1²)-(6·1)-14=

5-(6·1)-14=

5-6-14=

-1-14=

-15=

-15≠-6

Option 8 is incorrect.

Now, let's substitute -4/5 for x and solve:

(5·(-4/5²))-(6·(-4/5))-14=

(5·0.64)-(6·(-4/5))-14=

3.2-(6·(-4/5))-14=

3.2-(-4.8)-14=

3.2+4.8-14=

8-14=

-6=

-6=-6

Option 9 is correct.

Now let's substitute 4/5 for x and solve:

(5·4/5²)-(6·4/5)-14=

(5·0.64)-(6·4/5)-14=

3.2-(6·4/5)-14=

3.2-4.8-14=

-1.6-14

-15.6

-15.6≠-6

Option 10 is incorrect.

To summarize, you should pick option 6, and option 9.

I hope this was helpful, keep learning! :D