Ask question

Ask question

All categories

3 years ago

11

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula. Please, help wi

th this question!!

2 answers:

vodka [1.7K]3 years ago

7 0

Answer:

V = 6, E = 9, F = 5 is the answer

hoa [83]3 years ago

7 0

Answer:

12

Step-by-step explanation:

You might be interested in

In an electrical circuit ,the voltage across a resistor is directly proportional to the current running through the resitor.If a

Lerok [7]

Answer: The voltage across an identical resistor = 60 Volts

Step-by-step explanation:

Step 1

Given that voltage across the resistor is directly proportional to the current running through the resitor.

Mathematically, it would be represented as

Voltage ∝ Current

Introducing the constant of proportionality, k which represents the Resistor as it is constant.

we have that

Voltage = K x Current

When current = 12 amps and voltage = 480v, the constant of proportionality K

480 = k x 12

k = 480/12

k= 40

Step 2 ,

when current = 1.5 amps

Voltage = ?

Using our equation that

Voltage = K x Current

Voltage = 40 x 1.5

Voltage = 60 Volts

3 0

3 years ago

In the equation 3/4y+1/2=3 1/4, the fractional coefficient is what

AURORKA [14]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Given equation: $\frac{3}{4}y + \frac{1}{2} = 3 \frac{1}{4}$

In the given equation, $\frac{3}{4}$ is a coefficient and y is the variable.

coefficient is a constant number or quantity multiplied to a variable in an algebric expression. Like in the above equation $\frac{3}{4}$ is a coefficient and y is the variable. We use term variable for y as its value may vary or change. If variable does not have any coefficient in any expression then in that case, we consider 1 as coefficient, for example: $x+4$ , here variable have 1 as coefficient.

Hence, the fractional coefficient is $\frac{3}{4}$ .

7 0

3 years ago

You are considering leasing a store site that has 1,500 square feet. The landlord is asking for a rent of $50 per square foot, p

tigry1 [53]

Answer:

$75000/year

$6250/month

Step-by-step explanation:

1500 ft²*$50/(ft²*year) = $75000/year

1 year = 12 month

$75000/12 month= $6250/month

3 0

3 years ago

What is an equiangular triangle ?

Svetradugi [14.3K]

A all angles have equal measure

7 0

3 years ago

Read 2 more answers

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

so

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

so

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago