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3 years ago

11

How many faces does the polyhedron have?

1 answer:

NikAS [45]3 years ago

4 0

9514 1404 393

Answer:

5

Step-by-step explanation:

We presume the figure is a rectangular pyramid and that there are two hidden faces, one on the bottom and one at the back.

We can see 3 faces, so adding the two we presume we can't see, there are a total of 5 faces on this polyhedron.

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If CDE ~ GDF, find ED

qaws [65]

Answer:

10

Step-by-step explanation:

$\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}$

7 0

3 years ago

A boy jogs 250 meters in 110 seconds. What is his average speed in m/s?

babunello [35]

His average speed is 2.27 meters per second

8 0

2 years ago

Graham paid $87.45 for a pair of jeans. This amount included a tax of 40%. What was the cost of the jeans before tax?

kiruha [24]

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

r = tax rate expressed as a decimal = .40

Plugging in what we know

87.45 = C (1+.4)

87.45 = C(1.4)

Divide both sides by 1.4

C = $62.46

5 0

2 years ago

F(x)=4x+2 and g(x)=4(x−9)+2. What transformation occurs from function f to function g? a translation 9 units right a horizontal

marishachu [46]

Answer:

A translation 9 units right

Step-by-step explanation:

Given

$f(x) = 4x + 2$

$g(x) = 4(x -9)+ 2$

Required

Translation of f(x) to g(x)

To do this, we take the options one after the other.

A translation 9 units right

When an original function f(x) is translated to the right by h points, the resulting function g(x) is

$g(x) = f(x - h)$

So, we have that:

$f(x) = 4x + 2$

When translated to the right by 9 points,

$g(x) = 4(x - 9) + 2$

<em>Hence, option A answers the question</em>

5 0

3 years ago

I need help with this please help me !

mina [271]

Answer:

The value of x is 13.5 units.

Step-by-step explanation:

You can also apply this formula :

$\frac{a}{ \sin(A) } = \frac{b}{ \sin(B)} = \frac{c}{ \sin(C) }$

So for this question :

$\frac{x}{ \sin(34) } = \frac{11}{ \sin(27) }$

$x = \frac{11}{ \sin(27) } \times \sin(34)$

$x = 13.5 \: units \: (near.tenth)$

6 0

2 years ago