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1 year ago

The perimeter of an equilateral triangle is 6n-15 . Write an expression to represent the length of each side.

Mathematics

1 answer:

jonny [76]1 year ago

4 0

Answer:we know that all 3 sides are equal

so if side =a

then perimeter =3a

therefore

3a=6n-15

a=6n-15/3

a=2n-5

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Find the point-slope equation for

mars1129 [50]

Answer:

y-24=m(x--4)

Step-by-step explanation:

point slope form:

y-y₁=m(x-x₁)

1) find the slope or "m" first:

slope formula: (y2-y1)/(x2-x1)

(-53-24)/7+4

-77/11=-7

slope=-7

y-y₁=-7(x-x₁)

y1=24

x1=-4

y-24=m(x--4)

hope this helps!

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2 years ago

The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t

larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle $\theta$ , is 1.42. We are asked to find the length of the side opposite angle $\theta$ .

We can represent our given information in an equation as:

$\text{tan}(\theta)=1.42$

Now, we will use arctan to solve for theta as:

$\theta=\text{tan}^{-1}(1.42)$

$\theta=54.85^{\circ}$

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}$

$20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}$

$20\cdot 0.81764=\text{Opposite}$

$\text{Opposite}=20\cdot 0.81764$

$\text{Opposite}=16.3528$

$\text{Opposite}=16.4$

Therefore, the opposite side to angle theta is 16.4 feet.

5 0

2 years ago

Read 2 more answers

If a box of 100 pencils costs $4.75, what should you expect to pay for 226 pencils?

choli [55]

Answer:

$10.74

Step-by-step explanation:

divide the cost( $4.75) by the amount of pencils ( 100). Then multiply it by the new number of pencils

6 0

2 years ago

Please give me a real answer or I will report you I dont want to friend you just put the answers in the comments

kotykmax [81]

Answer:

j = 17.32 sq rt 3 or 30

Step-by-step explanation:

sin 60 = j/20sq rt 3

0.8660 = j/20sq rt 3

j = 17.32 sq rt 3

4 0

2 years ago

The function h is defined by h(x)=4+3x over 5+x<br><br> Find h(4z)

Jobisdone [24]

Answer:

h(4z)=4+12z / 5+4z

Step-by-step explanation:

The function h is defined by h(x)=4+3x over 5+x

This can be written as

h(x)=4+3x / 5+x

The value of the function at any time depends on the value of x. x is the independent variable. The variable,x can take any value at any time.

To find h(4z), it means that x is taking the value of 4z.

We will substitute 4z in the place of x in the function. This becomes

h(4z)=4+3×4z / 5+4z

h(4z)=4+12z / 5+4z

5 0

2 years ago