What is the surface area of a triangular pyramid if each face has an area of 30 mm2?A.
90 mm2

B.
160 mm2

C.
60 mm2

D.
120 mm

Answers

Answer 1
Answer: The answer must be 120\quad m{ m }^( 2 ) since the triangular pyramid has 4 faces and each has an area of 30 m{ m }^( 2 ) we should multiply that by 4 , so :

4\cdot 30\quad m{ m }^( 2 )=\quad 120\quad m{ m }^( 2 )
Answer 2
Answer:

Answer:

120 i think

Step-by-step explanation:


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Evaluate d-(-3.5) when d=2.74

Answers

d-(-3.5)
d + 3.5

d = 2.74
2.74 + 3.5 = 6.24

Hope I helped!
Add 2.74 and 3.5 because double negative makes positive. The answer is 6.24

Please help!!!Given the length of three sides of a triangle, which is a right triangle?
(1) 10,26,24
(2) 20,12,18
(3) 30,15,26
(4) 40,50,80

And also explain why it is the answer.

Answers

Pythagorean Theorem: a^2 + b^2 = c^2
c represents the longest side of the triangle
If the triangle is a right triangle, the Pythagorean theorem will be true.

(1) 10,24,26
10^2 + 24^2 = 676
26^2 = 676
10^2 + 24^2 = 26^2
Right Triangle

(2) 12,18,20
12^2 + 18^2 = 468
20^2 = 400
12^2 + 18^2 \neq 20^2
Not a right triangle

(3) 15,26,30
15^2 + 26^2 = 901
30^2 = 900
15^2 + 26^2 \neq 30^2
Not a right triangle

(4) 40,50,80
40^2 + 50^2 = 4100
80^2 = 6400
40^2+50^2 \neq 80^2
Not a right triangle

#1 is a right triangle

Using the ratio of perfect squares method, what is the square root of 96 rounded to the nearest hundredth? Use the ratio of perfect squares method.

Answers

(49)^2 / (50)^2 = 0.96
49/50 = sqrt (0.96) = 0.98

Therefore sqrt (96) = 9.80 to the nearest hundredth

a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1inch. describe the dimensions of carton of the carton using unit cubes.

Answers

We know that V = a^3 and that it's 1000 cubic inches (or unit cubes as long as one unit cube is 1x1x1 inch). We can write the calculation as attached below. The result (dimensions of one carton) is 10x10x10 meters.

The school department made $2,142 on ticket sales for 3 nights. Each ticket costs $7. How many tickets did they sell each night?

Answers


they sold 21 tickets each night

Prove the identity cos(x-y)-cos(x+y)=2sinx siny

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Addition/ Subtraction formulae for cosine

Consider the left side

cos(x - y) - cos(x + y)

= cosxcosy + sinxsiny - (cosxcosy - sinxsiny) ← distribute

= cosxcosy + sinxsiny - cosxcosy + sinxsiny ← collect like terms

= 2sinxsiny = right side ⇒ proven