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3 years ago

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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Triangles-- find the M<ECD if ABC angels are 31 degress.<br>picture added

never [62]

Answer:

Step-by-step explanation:

180° - 2 × 31° = 118° is measure of an angle which is vertical to ∠ECD ⇒

m∠ECD = 118°

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3 years ago

What is -0.8 as a fraction?

stira [4]

Answer:

$-\frac{4}{5}$

Step-by-step explanation:

There is not much that can be done to figure out how to write 0.8 as a fraction, except to literally use what the decimal portion of your number, the .8, means.

Since there are 1 digits in 8, the very last digit is the "10th" decimal place.

So we can just say that .8 is the same as 8/10.

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 2.

Why divide by 2? 2 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 8 and 10.

So, this fraction reduced to lowest terms is 4/5

So your final answer is: 0.8 can be written as the fraction 8/10 simplified to 4/5

6 0

3 years ago

Read 2 more answers

Acording to the instruction on a bag of fertizer 5 pounds of fertilzer are needed for every 100 square feet of lawn How many squ

eimsori [14]

Answer:

The answer is 500

Step-by-step explanation:

<h3><u>Given</u>;</h3>

Acording to the instruction on a bag of fertilizer 5 pounds of fertilizer are needed for every 100 square feet of lawn.

How many square feet will a 25 pound bag cover?

So,

25 ÷ 5 = 5

5 × 100 = 500

Thus, 500 square feet will a 25 pound bag cover.

<u>-TheUnknownScientist</u><u> 72</u>

7 0

3 years ago

Bad gums may mean a bad heart. Researchers discovered that 79% of people who have suffered a heart attack had periodontal diseas

zysi [14]

Answer:

(A) 0.297

(B) 0.595

Step-by-step explanation:

Let,

H = a person who suffered from a heart attack

G = a person has the periodontal disease.

Given:

P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15

Compute the probability that a person has the periodontal disease as follows:

$P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.15)+(0.33\times(1-0.15))\\=0.399$

(A)

The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

$P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.15}{0.399} \\=0.29699\\\approx0.297$

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.

(B)

Now if the probability of a person having a heart attack is, P (H) = 0.38.

Compute the probability that a person has the periodontal disease as follows:

$P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.38)+(0.33\times(1-0.38))\\=0.5048$

Compute the probability of a person having a heart attack given that he or she has the disease:

$P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.38}{0.5048}\\ =0.59469\\\approx0.595$

The probability of a person having a heart attack given that he or she has the disease is 0.595.

4 0

3 years ago

Sir John Franklin was an explorer who traveled in Canada and the United States he was 33 years old when he began exploring North

Dmitry_Shevchenko [17]

He was 51 years old. He was 33 when he first started exploring. Then 17 years later he explored again so you add 17 +33 =50 . Then 11 years later he died so you add 11 to 50 =51

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3 years ago