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Nadya [2.5K]
3 years ago
14

Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

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I need some help please
ExtremeBDS [4]
Using the law of cosins

sin(angle) = Opposite Leg / Hypotenuse

The angle is given as 35 degree and the hypotenuse is given as 30 feet.

Sin(35) = X ( opposite leg) / 30

X = 30 * sin(35)

x = 17.2 feet.

Total height = 17.2 + 6.5 = 23.7, round to 24 feet.

The answer is 24 feet.
6 0
3 years ago
find the Point of intersection of these 2 lines: y= 5x - 4 and y= 4x - 2 *write answer as (x,y) coordinate pair
harkovskaia [24]
The point of intersection is (2,6).
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3 years ago
Solve the system by substitution.
Iteru [2.4K]

Answer:

I gave you most of the answer. I'll let you check my work and find the point using the solution.

Step-by-step explanation:

The first thing we do is we divide by negative one in the first equation to get

y = -x.

-3x + 3y = -36

Plug in y = -x and get

-3x + 3(-x) = -36

= -3x - 3x = -36

This equals -6x = -36

divide both sides by -6 and you get 6. 6 is your x value

Plug 6 back in to the second equation.

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3 0
2 years ago
MARKING BRAINLIEST!
attashe74 [19]

Answer:

10,350$

Step-by-step explanation:

2,300÷2=1,150

1,150×2=2,300

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5 0
3 years ago
Read 2 more answers
Help please ty ty Appreciate it
MAVERICK [17]

Answer:

a. 113.1 cm^3.

b. 339.29 cm^3.

c. 18 cm.

d. 508.94 cm^3.

e. 169.65 cm^3.

Step-by-step explanation:

a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 cm^{3}.

b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.

c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.

d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.

e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.

Hope this helps!!

6 0
3 years ago
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