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2 years ago

A triangular pyramid is formed from three right triangles as shown below.

Mathematics

1 answer:

juin [17]2 years ago

8 0

Answer:

Step-by-step explanation:

RU=20 (45-45-90 triangle)

use pythagorean theorum

20^2+b^2=73^2

evaluate

b^2=4929

sq root both side

rounded to nearest integer, side SU is 70

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A triangular city lot bounded by three streets has a length of 300 feet on one street, 250 feet on the second, and 420 feet on t

Butoxors [25]

Consider using the Law of Cosines, because the lengths of three sides are given and the largest angle is the one to be approximated. This angle will be opposite the longest side, that is, opposite the 420-foot side.

420^2 = 250^2 + 300^2 - 2(250)(300)cos A.

Then: 176400 = 62500 + 810000 - 150000cos A.

Solving for cos A, we get:

150000cos A = 176400-62500-810000, or -696100

Then:

-696100

cos A = ------------------- = - 4.64. This is not possible, as the range of the cosine

150000 function is [-1,1].

7 0

2 years ago

Read 2 more answers

What is the solution to the equation? round your answer to two decimal places. 6•e^x=25

wolverine [178]

Answer:

Step-by-step explanation:

Given

6 $e^{x}$ = 25 ( divide both sides by 6 )

$e^{x}$ = $\frac{25}{6}$

Take the ln of both sides

ln $e^{x}$ = ln ( $\frac{25}{6}$ ) , hence

x lne = ln ( $\frac{25}{6}$ ) ← note ln e = 1

x = ln ( $\frac{25}{6}$ ) ≈ 1.43 → A

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3 years ago

Elle can buy 2 quarts of milk for 3$ or 1 gallon milk for 3$ which is the better deal

prisoha [69]

1 gallon for $3 is the better deal because you're getting twice as much for the same price

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3 years ago

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What is the value of x?<br> X= ?

qaws [65]

Answer:

Step-by-step explanation:

x=180-134=46

rate brainliest please

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3 years ago

A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindf

laiz [17]

Answer: $\dfrac{76}{89}$

Step-by-step explanation:

The pool of rats from which the researcher is drawing participants is composed of the following:

23 male albino rats

21 male spotted rats

35 female albino rats

11 female spotted rats

Total rats = 23+21+35+11 =90

$P(male\ albino)=\dfrac{23}{90}$

After drawing first rat , total rats remained = 89

$P(\text{either a female albino rat or a male spotted rat})=\dfrac{35+21}{89}=\dfrac{76}{89}$

The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = $\dfrac{76}{89}$

7 0

2 years ago