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alexgriva [62]
3 years ago
11

Multiply. 638 × 49 _____

Mathematics
1 answer:
noname [10]3 years ago
8 0
31,262

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I need help with these three problems please​
Liono4ka [1.6K]

Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

34^{2}  =  {x}^{2}  +  {x}^{2}  \\ 2 {x}^{2}  = 1156 \\  {x}^{2}  = 1156 \div 2 \\  {x}^{2}  = 578 \\ x =  \sqrt{578}  \\

Thus, the perimeter of the square is

= 4( \sqrt{578} ) \\  = 96.2 ft\:  \:  \: (3 \: s.f.)

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= \frac{x}{42}

\frac{ \sqrt{3} }{2}  =  \frac{x}{42}  \\ x =  \frac{ \sqrt{3} }{2}  \times 42 \\ x = 21 \sqrt{3}  \\ x = 36.4

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

4 0
3 years ago
Read 2 more answers
Which equation does the graph below represent?<br> y=1/3+x<br> y=1/3x<br> y=3+x<br> y=3x
barxatty [35]
Lets find 2 points, one obvious one is (0,0), another point is (12,4)

Slope = \frac{4-0}{12-0} =\frac{4}{12} = \frac{4\times 1}{4\times 3} = \frac{1}{3}

y = mx + b

m is the slope

we got m = 1/3

We can eliminate answer choices C and D.

y = 1/3x + b

we need to solve for b

Plug in the point (0,0) and solve for b

0 = 1/3(0) + b

0 = 0 + b

b = 0

The equation of the line is y = 1/3x + 0, or y = 1/3x

Your answer is B.
3 0
3 years ago
Wondering if anyone could help?
aleksklad [387]

Answer:

error

Step-by-step explanation:

4 0
2 years ago
-34.78/-3.7 need help please help ASAP
nataly862011 [7]

Answer:

9.4

Step-by-step explanation:

4 0
2 years ago
Find all values of x (if any) where the tangent line to the graph of the function is horizontal
ratelena [41]

the horizontal tangent line mean y'=0

8 - 2x = 0

x = 4

5 0
3 years ago
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