$\hbox{the sum identity:} \\ \sin(\alpha + \beta)= \sin \alpha \cos \beta + \sin \beta \cos \alpha \\ \\
\sin (90^\circ +q)= \\ \sin 90^\circ \cos q+ \sin q \cos 90^\circ= \\
1 \times \cos q + \sin q \times 0= \\
\cos q$

8 0

3 years ago

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Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy?

34kurt

Divide the box into two parts for easy way answer

For cube:-

Side=a=12cm

TSA

6a²
6(12)²
6(144)
864cm^2

Cancel one side area

TSA=864-144=720cm^2

For triangular pyramid:-

Area of one base

0.5(Base)(Height)
0.5(12)(15)
6(15)
90cm^2

Area of four sides=90(4)=360cm^2

<h3>Total surface area:-</h3>

720+360
1080cm^2

4 0

3 years ago

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Five more than twice a<br> number is -13. Find the<br> number.

Greeley [361]

Answer:

x = -9

Step-by-step explanation:

2x + 5 = -13

- 5 = -5

2 2

x = -9

3 0

3 years ago