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Sav [38]
3 years ago
11

A rectangular prism and a square pyramid were joined to form a composite figure.

Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

B. 333 in.2

Step-by-step explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2  (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2

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Yesterday the Bandits scored 56 points in their basketball game. Today they scored 42 points. What is the percent decrease of Th
FromTheMoon [43]

Answer:

x = 25% percent decrease

Step-by-step explanation:

For this problem we will use percentage calculation and make proportion:

Initial value 56 points is worth 100%

Second value 56 - 42 = 14 points of decrease is worth x%

56 : 14 = 100 : x

When we multiply external and internal members we get:

56 · x = 14 · 100 => x = 1400/56 = 25%

x = 25% percent decrease

God with you!!!


5 0
2 years ago
In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
scoundrel [369]

Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4

From the above we know the value of each sides of ∆JKL

Find attached the diagram of the above triangle (1)

∆JKL is dilated by a scale factor = 2

Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

Opposite = 2(3) = 6

Adjacent = 2(4) = 8

Hypotenuse = 2(5) = 10

To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

Tan(b°) = 3/4

Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

6 0
3 years ago
9(x+3)=4x-3 I need to use the distributive property to solve
algol [13]

Answer:

x= 6

Step-by-step explanation:

8 0
3 years ago
a sixth grade student brought three cans of tennis balls for $4 each sales tax for all three cans was $0.95 write an expression
JulijaS [17]

Answer:

An expression that would show how much the student paid is 3(4) + 0.95, which can be solved to be 12.95

Step-by-step explanation:

We know that we need to multiply the number of cans (3) by the price of the cans (4). We also know the sales tax for the total is 0.95, which can simply be added to the end.

8 0
3 years ago
») Evaluate the expression for c = 4 and d = 11.<br> C + d =
HACTEHA [7]

Answer:

4+11=15

Step-by-step explanation:

c=4 11=b

4(c) + 11(d) = 15

8 0
2 years ago
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