All categories

3 years ago

The three sides of an equilateral triangle are equal in length. What is the perimeter of the equilateral triangle shown? 18 mm

Mathematics

1 answer:

vlabodo [156]3 years ago

7 0

Answer: 6mm

Step-by-step explanation: It is an equilateral triangle so all equal length so 18/3 sides equal to 6mm

You might be interested in

what is the difference between a vertical compression and a horizontal stretch? just got a question relating to that wrong and I

Lana71 [14]

Answer:

Vertical compression: the squeezing of the graph toward the x-axis

Horizontal stretch: the squeezing of the graph toward the y-axis

5 0

3 years ago

The area of a circle is 3.14 square meters. What is the circle's radius?

lyudmila [28]

Answer:

1 m

Step-by-step explanation:

3.14 meter = 3.14/3.14 = 1 meter

sqrt.1 = 1 meter

4 0

3 years ago

Read 2 more answers

Cara is building a new dog house the roof is 10 4/5 feet long express this length as a decimal show work

scZoUnD [109]

Answer:

10.8 feet

Step-by-step explanation:

Multiply 4/5 by 2 on the top and bottom. Then you'll get 8/10 which is 0.8 as a decimal

7 0

3 years ago

Read 2 more answers

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

4 years ago

Read 2 more answers

45 of the 80 children in the club or girls what was the ratio of boys to girls in the club?

Oxana [17]

There are 80 children. 45 of them are girls. The amount of boys is equal to:

$80-45 = 35$

That means there are 45 girls and 35 boys.

The ratio of boys to girls is: $35:45$

Simplify:

$35 \div 5 = 7 \\ 45 \div 5 = 9 \\ \\35:45 \rightarrow 7:9$

Your answer is 7:9

5 0

3 years ago

The three sides of an equilateral triangle are equal in length. What is the perimeter of the equilateral triangle shown? 18 mm​

The three sides of an equilateral triangle are equal in length. What is the perimeter of the equilateral triangle shown? 18 mm