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goblinko [34]
3 years ago
11

Tan80+tan70/1-tan80tan70

Mathematics
1 answer:
poizon [28]3 years ago
4 0
We have the formula tan(a+b)= (tana+tanb): (1-tana x tanb)
And now we have a=80, b=70 and
(tan80+tan70): (1-tan80 x tan70)= tan(80+70)= tan150
If you write 70 for 70°, we have tan150°=1/√3
Merry Christmas
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mina [271]

Answer:

28.75 cm^3 of space not used

Step-by-step explanation:

The volume of the box is

V = 4.5* 2.5 * 7 =78.75 cm^3

The gift takes up 50 cm^3

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8 0
3 years ago
Find the surface area of the square pyramid (above) using its net (below).<br> 3
Murljashka [212]

Answer

33

Step-by-step explanation:

11 of the faces is a square.

\begin{aligned} \text{Area of a square} &= \text{side} \cdot \text{side}\\\\ &= 3 \cdot 3\\\\ &= {\blueD{9}} \\\\ \end{aligned}

Area of a square

​

 

=side⋅side

=3⋅3

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​

Hint #22 / 4

444 of the faces are triangles. Each triangle has the same base and height.

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac12 \cdot 3 \cdot 4\\\\ &= 6 \\\\ \end{aligned}

Area of a triangle

​

 

=

2

1

​

⋅base⋅height

=

2

1

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⋅3⋅4

=6

​

The total area of these 444 triangles is 4 \cdot 6 = \greenD{24}4⋅6=244, dot, 6, equals, start color #1fab54, 24, end color #1fab54.

Hint #33 / 4

Let's add the areas we found to find the surface area.

\begin{aligned} \text{Surface area} &= \blueD{9}+ \greenD{24}\\\\ &= 33\\\\ \end{aligned}

Surface area

​

 

=9+24

=33

​

Hint #44 / 4

The surface area of this square pyramid is 333333 units^2

2

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6 0
3 years ago
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Answer:

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DochEvi [55]
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
nydimaria [60]

Answer: The Given sequence is 9, 10, 11, 12

We need to find the expression to describe the sequence.

Let  be the  term of the sequence.

Let n represent the position of the term.

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and d be the common difference between the sequence

Hence the expression to find the above sequence is given below;

when n=1 d= 1 a = 9

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Step-by-step explanation:

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