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2 years ago

Suppose cos(a)=4/5. use the trig identity sin^2(a)+cos^2(a)=1 to find sin(a) in quadrant IV.

Mathematics

1 answer:

natima [27]2 years ago

7 0

Answer:

sin a = -3/5

Step-by-step explanation:

sin^2(a)+cos^2(a)=1

sin^2(a)+ (4/5)^2 = 1

sin^2(a) = 1 - 16/25 = 9/25

sin a = 3/5 ( in Quadrant 1)

In quadrat IV the sine is negative

so sin a = -3/5

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Aleksandr-060686 [28]

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3 years ago

Given trapezoid WXYZ, what is XY?

stepan [7]

Answer:

XY = 16 ft

Step-by-step explanation:

The mid segment DE is half the sum of the parallel bases, that is

$\frac{XY+WZ}{2}$ = 20 ( multiply both sides by 2 to clear the fraction )

XY + WZ = 40

XY + $\frac{3}{2}$ XY = 40 ( multiply through by 2 to clear the fraction )

2XY + 3XY = 80

5XY = 80 ( divide both sides by 5 )

XY = 16

8 0

3 years ago

Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.11. The population sta

bearhunter [10]

Answer: -2.10

Step-by-step explanation:

Given : $H_0:\mu=15$

$H_a:\mu\neq15$

Sample size : n= 50, since the sample size is greater than 30 , so we apply z-test.

Sample mean : $\overline{x}=14.11$

Standard deviation : $\sigma= 3$

The test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

i.e. $z=\dfrac{14.11-15}{\dfrac{3}{\sqrt{50}}}=-2.09775011752\approx-2.10$

Hence, the value of the test statistic = -2.10

8 0

4 years ago

HELP PLEASEEEE!!

emmasim [6.3K]

31.0 degrees

TanX wich is 30/50

same thing as 30 divided by 50

7 0

3 years ago

Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each br

Yuliya22 [10]

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9 (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0 (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

6 0

3 years ago