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balandron [24]
3 years ago
13

Triangle abc is similar to triangle FGH solve for p plebs.

Mathematics
1 answer:
12345 [234]3 years ago
5 0

The value of <em>p </em>is 21

Step-by-step explanation:

ΔABC ~ ΔFGH

\frac{ab}{fg}  =  \frac{bc}{gh}  \\  \frac{35}{p}  =  \frac{10}{6}  \\ p =  \frac{35 \times 6}{10}  \\ p =  \frac{210}{10}  \\ p = 21 \\  \\ or \\  \\  \frac{ab}{fg}  =  \frac{ac}{fh}  \\  \frac{35}{p}  =  \frac{30}{18}  \\ p =  \frac{35 \times 18}{30}  \\ p =  \frac{630}{30}  \\ p = 21

So, the value of <em>p</em> is 21

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

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Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much
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1/6 also is 2/12. So, there is 9/12 of the pasta left.
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For the senior pic mr. Williams is using two cylinders to help keep the food cool the inside still there with the radius of 8 in
Rasek [7]
The answer is  1,695.6 in³.

The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2

The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14

V1 = 3.14 * 10² * 15 = 4,710 in³


The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14

V2 = 3.14 * 8² * 15 = 3,014.4 in³


The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
4 0
3 years ago
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

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3 years ago
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2 years ago
MARKING AS BRAINLIEST!! (Find area of each )
masha68 [24]

Answer:

38 km

Step-by-step explanation:

1. The formula to find the area of a trapezoid is \frac{a+b}{2}h, where a and b are the bases and h is the height.

2. To find the area, all we have to do is plug in these values and simplify!

3. (Solving)

  • \frac{a+b}{2}h
  • \frac{4.3+10.9}{2}*5
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Therefore, the area is 38 km.

6 0
2 years ago
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