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sashaice [31]
3 years ago
7

A ball has a circumference of 9.42 what is the diameter​

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0
The diameter is 4,71
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Five sixths of Forty two
Maslowich
Hello,

Five sixths of forty two is = 35.
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3 years ago
Which logarithmic equation is equivalent to the exponential below ? e^5x=6
Aneli [31]

\bf \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b~\hfill e^{5x}=6\implies \log_e(6)=5x

3 0
3 years ago
A half-acre building lot is five times as long as it is wide. What are its dimensions?
Gnoma [55]

we know that

A half-acre is equal to----------> 2,023.43\ m^{2}

Let

x---------> the length side of the building lot

y--------> the width side of the building lot

A------> Area of the building lot

x=5y-------> equation 1

A=2,023.43\ m^{2}

A=x*y

2,023.43=x*y --------> equation 2

substitute equation 1 in equation 2

2,023.43=[5y]*y

5y^{2}= 2,023.43\\y^{2}= 404.686\\y= 20.11\ m

<u>Find the value of x</u>

x=5y---> x=5*20.11--> x=100.55 m

therefore

<u>the answer is</u>

the dimensions of the building lot are 100.55 m* 20.11 m

6 0
3 years ago
Suppose that the sum of the three vectors u, v, and w shown in the figure is the zero vector. If w = 10 find u and v.
tangare [24]

a. The value of v is 9.2

b. The value of u is 9.9

<h3>What are vectors?</h3>

Vectors are physical quantities that have both magnitude and direction

<h3>How to find the value of vectors u and v?</h3>

Since we have vectors

  • u at 70° to the x-axis
  • v at 47° to the x-axis and
  • w = 10 at 15° to the x-axis,

We resolve them into component form

So, u = -(ucos70°)i - (usin70°)j

u = -(0.3420u)i - (0.9397u)j

v = -(vcos47°)i + (vsin47°)j

v = -(0.6820v)i - (0.7314v)j

w = (wcos15°)i + (wsin15°)j

w = (0.9659w)i + (0.2588w)j

w = (9.659)i + (2.588)j

Since the sum of the three vectors is zero, we have that

u + v + w = 0

u + v = -w

So,

-(0.3420u)i - (0.9397u)j + [-(0.6820v)i - (0.7314v)j] = -[(9.659)i + (2.588)j]

-(0.3420u)i - (0.9397u)j -(0.6820v)i - (0.7314v)j = -(9.659)i - (2.588)j]

-(0.3420u)i -(0.6820v)i - (0.9397u)j - (0.7314v)j = -(9.659)i - (2.588)j]

-[0.3420u + 0.6820v]i - [0.9397u + 0.7314v]j = -(9.659)i - (2.588)j

Equating i components, we have

-[0.3420u + 0.6820v]i = -9.659i

0.3420u + 0.6820v = 9.659

Dividing through by 0.3420. we have

u + 1.994v = 28.242 (1) and

Also, equating j components, we have

- [0.9397u + 0.7314v]j = -2.588j

0.9397u + 0.7314v = 2.588  

Dividing through by 0.9397 we have

u + 0.778v = 2.754 (2)

<h3>a. The value of v</h3>

Subracring equation (2) from(1),we have

u + 1.994v = 28.242 (1)

-

u + 0.778v = 2.754 (2)

2.772v = 25.488

v = 25.488/2.772

v = 9.19

v ≅ 9.2

The value of v is 9.2

<h3>b. The value of u</h3>

Substituting v into (1), we have

u + 1.994v = 28.242 (1)

u + 1.994(9.19) = 28.242

u + 18.325 = 28.242

u = 28.242 - 18.325

u = 9.917

u ≅ 9.9

The value of u is 9.2

Learn more about vectors here:

brainly.com/question/25705666

#SPJ1

8 0
2 years ago
A metrologist used the expression below to describe how the temperature changed. -5+(-4)
tia_tia [17]

Answer:

-9

Step-by-step explanation:

i used a calculater soya your welcome

6 0
3 years ago
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