What is the surface area, in square centimeters, of the square pyramid?
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1. 27
2. 56
3. 40
4. 80

Answ either

Step-by-step explanation:

Answer:

r = 5.74%

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r)^t

P is the principal = $8000

A = P+I =8000 + 2000 = $10000

time t = 4years

Substitute

10000 = 8000(1+r)^4

10000/8000 = (1+r)^4

10/8 = (1+r)^4

1.25 = (1+r)^4

1.05737126344 = 1+r

r = 1.05737126344 - 1

r = 0.05737126344

r = 5.74%

This gives the rate of interest

Answer:

672 square inches

Step-by-step explanation:

Given data

Height= 25inches

Lenght = 6 inches

Width= 6 inches

The expression for the area of the box is given as

TSA= 2 (lh + lw+ hw)

TSA= 2(6*25+ 6*6+ 25*6)

TSA=  2(150+ 36+150 )

TSA= 2*(336)

TSA= 672 square inches

Answer:

5/6

Step-by-step explanation:

See the steps below:)

Answer:

5/6

Step-by-step explanation:

PEMDAS

Answer:

the second store has the better deal.

Step-by-step explanation:

12 ÷ 2 = 6

7.5 × 6 = 45

20.2 < 45

Answer:

The expected value of the student's score on the test is 3.4.

Step-by-step explanation:

Multiple choice questions:

worth 3 points.

Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:

[tex]m = 3\frac{1}{5} = 0.6[/tex]

True/false questions:

worth 1 point.

2 options, one of which is correct, so the expected value for each is:

[tex]t = 1\frac{1}{2} = 0.5[/tex]

What is the expected value of the student's score on the test ?

4 multiple choice, two true-false. So

[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]

The expected value of the student's score on the test is 3.4.

Answer:

9 3/8 inches

Step-by-step explanation:

Inches of candle : hours it burned

= 5 inches : 4 hours

How far has it burned after 7 1/2 hours?

Let

x = how far it has burned (inches)

Inches of candle : hours it burned = x inches : 7 1/2 hours

Equate both ratios

5 inches : 4 hours = x inches : 7 1/2 hours

5/4 = x ÷ 7 1/2

5/4 = x ÷ 15/2

5/4 = x * 2/15

5/4 = 2x/15

Cross product

5 * 15 = 4 * 2x

75 = 8x

x = 75/8

x = 9 3/8 inches

x = how far it has burned (inches) = 9 3/8 inches

Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.

Answer:

[tex]area = area \: of \: rectangle + area \: of \: triangles \\ = (6 \times 2) + ( \frac{1}{2} \times 6 \times 2) + ( \frac{1}{2} \times 6 \times 4) \\ = 12 + 6 + 12 \\ = 30 \: sq \: units[/tex]

Answer:

30

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

Answer:

1)  yes, SAS

2)  yes, AAS

3)  yes, SAS

4)  not enough information to know

Step-by-step explanation:

The expression on the left matched with an equivalent expression on the right are;

3x + 0 = 3x

5/3 - x + 1/3 = -3/2x + 2 + 1/2x

2x - 3 = x - 3 + x

2x - 6 = -6 + 2x

3/5 - 13/5 = -6.9 + 4.9

3x + 0 = 3x

5/3 - x + 1/3

combine like terms

= 5/3 + 1/3 - x

= (5+1)/3 - x

= 6/3 - x

= 2 - x

-3/2x + 2 + 1/2x

combine like terms

-3/2x + 1/2x + 2

= (-3+1)x / 2 + 2

= -2/2x + 2

= -x + 2

2x - 3 = x - 3 + x

2x - 6 = -6 + 2x

3/5 - 13/5

= (3-13)/5

= -10/5

= -2

-6.9 + 4.9

= -2

Ultimately, an expression is said to be equivalent when the value on the right hand side is equal to the value on the left hand side.

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Answer:

Step-by-step explanation:

Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have

[tex]6.363*10^{-4[/tex]

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratio to get answer

Answer:

[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]

[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]

[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]

Answer:

Aprox: 1.61

Step-by-step explanation:

TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61

Answer:

28/45≈1.6071≈1.61

Step-by-step explanation:

Answer:

41.8°

Step-by-step explanation:

We solve using the Trigonometric function of Sine

Hypotenuse = 15cm

x = θ

Opposite = 10cm

sin θ = Opposite/Hypotenuse

sin θ = 10/15

θ = arc sin ( 10/15)

θ = 41.810314896°

θ = Approximately to 1 decimal place = 41.8°

Therefore, x = θ = 41.8°

Answer:

tan r = 35/12

Step-by-step explanation:

you use the rule tan=opposite/adjacent

The required ratio equivalent to tan(R) for triangle RTS is 35 / 12.

A triangle RTS is given with perpendicular = 35 base = 12 and the hypotenuse = 37

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
In order to find out the ratio equivalent to tan(R).0
We know that,
tan(r) = perpendicular  / base
from given,
tan (R) = 35 / 12

Thus, the required ratio equivalent to tan(R) for triangle RTS is 35 / 12.

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Answer:

17 just multiply the like dot product of vectors

The second option should be chosen as it depicts the amount with the lowest interest.

For option 1, the annual interest will be:

= $1300 × 16.5% = $214.50

The monthly finance charge will be:

= $1300 × (0.165/12)

= $17.88

The minimum monthly payment for the first month will be:

= $100 + $17.88 = $117.88

Hence, the total amount paid will be:

= ($117.88 × 12) + $214.50

= $1629.06

For option 2, the simple interest will be:

= (1300 × 12.5%)

= $162.50

The amount that will be paid monthly will be:

= $1000/12

= $83.33.

In this case, the total amount paid will be:

= $162.50 + $1300

= $1462.50

Therefore, the second option is better as it's cheaper.

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Answer:

11

Step-by-step explanation:

dont forget to five-star and heart!

Answer:

25 squared cm

Step-by-step explanation:

Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])

h = height

[tex]b_{1}[/tex] = base 1

[tex]b_{2}[/tex] = base 2

A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)

A = 25

Answer:

B. four less than three times a number

Answer:

Add 4 to both sides of the equation

8n-4=52

8n-4+_4=52+_4

Answer:

2e12

Step-by-step explanation:

A ) ( x - 3 )( x + 1 ) [ not perfect ]

B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]

C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]

D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]

Thus the correct answer is option D .

Answer:

30 sq cm

Step-by-step explanation:

The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:

Area = 10 cm x 3 cm

Area = 30 sq cm