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1 year ago

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.

Mathematics

2 answers:

hammer [34]1 year ago

5 0

I dont think this may be right but i think it is 401

Lyrx [107]1 year ago

5 0

Answer:

Area of the triangle will be 161.70 cm²

Step-by-step explanation:

In the figure attached, in ΔABC

m∠ABC = 23°

Adjacent side BC = 27.6 cm

and hypotenuse AC = 30 cm

Area of the triangle ABC = $\frac{1}{2}\times (\text{Height})\times (\text{Base})$

= $\frac{1}{2}(AB)(BC)$

By the sine rule,

sin23° = $\frac{AB}{AC}$

AB = AC(sin23°)

= 30sin23°

= 30×(0.3907)

= 11.72 cm

Area of the triangle ABC = $\frac{1}{2}\times 11.72\times 27.6$

= 11.72×13.8

= 161.736 cm²

≈ 161.7 cm²

Therefore, area of the triangle will be 161.70 cm².

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The diagonals of the figure below represent the support beams for a patio covering.

Bas_tet [7]

Answer: B 5 and 5 square root 3

Step-by-step explanation:

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2 years ago

A certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fai

Bess [88]

P(fail)=p=0.045
Given the two alternators are independent.

(A)P(Both fail) = 0.045^2= 0.002025
(B)P(None fails) = (1-0.045)^2=0.912025
(C)P(at least one fails)
=1-P(non fails)
=1-0.912025
=0.087975

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1 year ago

Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patie

Keith_Richards [23]

Answer:

The probability $P(\^ p > 0.80) = 0.99957$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.90

The sample size is n = 30

Generally mean of the sampling distribution is $\mu_{\= x } = p = 0.90$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p( -p )}{n} }$

=> $\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }$

=> $\sigma = 0.03$

Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

$P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )$

Generally $\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)$

$P(\^ p > 0.80) = P(Z > -3.33 )$

From the z-table $P(Z > -3.33 ) = 0.99957$

$P(\^ p > 0.80) = 0.99957$

5 0

2 years ago

Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while check

Tpy6a [65]

Answer:

(1) 0.08x + 16

(2) 0.08x + 16=0.12x + 14

Step-by-step explanation:

Checking account A has a monthly fee of $16 and a per-check fee of $0.08

Per check fee is a constant rate that is 0.08

Let x represents the number of checks Cecily writes per month

1 check fee = 0.08

x checks fee = 0.08x

monthly fee is $16 , we add that as well

So total monthly fee charges for account A is

0.08x + 16

checking account B has monthly fee of $14 and a per-check fee of $0.12.

1 check fee = 0.12

x checks fee = 0.12x

monthly fee is $14 , we add that as well

So total monthly fee charges for account B is

0.12x + 14

(2) To find number of checks write per month for the accounts to charge the same in fees

WE set both expression , account A = account B

0.08x + 16=0.12x + 14

Subtract 0.12x on both sides

-0.04x + 16 = 14

Now subtract 16 on both sides

-0.04x = -2

Divide by -0.04 on both sides

So x= 50

7 0

2 years ago

Which of these ordered pairs is a solution to the inequality y – 2x ≤ –3?

Archy [21]

The answer is D.(1,-1) the reason is -1(y)-2*1(x)=-3 so, -1-2*1 is less than or equal to -3.

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1 year ago