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Mariana [72]
3 years ago
10

A square pyramid has a base length of 6 inches. The height of each triangular face is 11 inches. Which expressions correctly cal

culate the surface area of the pyramid
Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

168 in²

Step-by-step explanation:

The square would be 36 in²

Area of a triangle is A= 1/2 bh

A = 1/2 (11 x 6), A= 1/2 (66)

1/2 (66) = 33 in², which is the area of a triangle.

Then you multiply 33 x 4 to get the area of all the triangles, which is 132 in²

You add the area of the square to the area of the triangles, which is 168 in².

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Diego made a scale drawing of a theater. The scale of the drawing was 1 inch : 3 feet. The
Artyom0805 [142]

Answer:

The actual stage is 42 feet long

Step-by-step explanation:

Step 1

Determine the conversion factor as shown;

1 inch in the drawing represents 3 feet in the actual drawing

To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).

Step 2

Convert 14 inches in the drawing to the actual measurement of the stage as follows;

Actual stage length=drawing length×conversion factor

where;

drawing length=14 inches

conversion factor=3

replacing;

Actual stage length=(14×3)=42 feet

The actual stage is 42 feet long

3 0
2 years ago
What is the basic ratio for 25:40.
Alexxandr [17]
25/40= .625
.625= 5/8
8 0
3 years ago
Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market
xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0
3 years ago
Read 2 more answers
Which equation could have been used to create this function table?
anzhelika [568]

Answer:

y = x+2 is your answer

Step-by-step explanation:

you add two to x to get y

7 0
3 years ago
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Which property is illustrated by the equation 3 (m n) = (3 m) n?
Sav [38]
Associative property
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2 years ago
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