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Sati [7]
4 years ago
15

Which equation represents the line 5x - y = 3 in slope-intercept form?

Mathematics
1 answer:
Nat2105 [25]4 years ago
7 0

Answer:

y=5x-3

Step-by-step explanation:

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Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t
Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when \theta=30  is 129.9 square feet. Area of triangle when \theta=40 is 188.85 square feet. Increasing the angle  \theta  increases the area.


Step-by-step explanation:

The equation that models the height of the triangle is:

y=15 Tan \theta

Where,

  • y is the height, and
  • \theta  is the angle

A.

When \theta=30 , the height is:

y=15Tan30\\y=8.66


B. When \theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59


C. <em>To find the area of the isosceles triangular shaped garden, we use the </em><em>formula for the area of the triangle</em><em>:</em>

A=\frac{1}{2}bh

Where,

  • A is the area
  • b is the base, which is given as 30 feet, and
  • h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

<u>When Vance uses \theta=30 , the area is</u>:

A=\frac{1}{2}(30)(8.66)\\A=129.9  square feet


<u>When Vance uses \theta=40 , the area is</u>:

A=\frac{1}{2}(30)(12.59)\\A=188.85  square feet


So we see that when the angle is more, the area is also more.

4 0
3 years ago
Read 2 more answers
Pls help and no unnecessary typin* I will report
satela [25.4K]

\large\bf{\underline{Given :}}

  • An isosceles triangle ABC
  • AD is a bisector of ∠‎A

__________________________________________

\large\bf{\underline{To \:prove :}}

  • BD = DC

__________________________________________

\large\bf{\underline{In \: triangle \: ABD\:and\: triangle\:ADC}}

{⟹AD = AD\:\:\:\:\:\:\:\:\:\:\:\:\:\:( common)}

{⟹∠BAD = ∠CAD\:\:\:\:\:\:\:\:\:( given : AD \:is \:bisector \:of \:∠A )}

{⟹∠ABD = ∠ACD\:\:\:\:\:\:\:\:\:( given : angles\: in \:isosceles\: trianlge )}

\large\bf{\underline{Hence}}

  • By ASA criteria ∆ABD congurant to ∆ADC

__________________________________________

\large\bf{\underline{So}}

  • By CPCT ( corresponding parts of congurant triangle )

\large\bf{BD = DC}

__________________________________________

\large\bf{\underline{Note :}}Slide to view full answer.

6 0
3 years ago
C= 5/9(F-32) <br> urgent!!! will give 50 points
Alik [6]

Answer:

25°

Step-by-step explanation:

hope it helps you solve the question

5 0
2 years ago
Anyone know ??? i need help badly right now
Brilliant_brown [7]

Answer:

Answer is A 520mm²

I hope you like it

3 0
3 years ago
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Jocelyn needs to place a 7 meter ladder against a house so that the base of the ladder is 6.5 meters from the building. I want a
GrogVix [38]

Answer:

21.787°

Step-by-step explanation:

4 0
3 years ago
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