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2 years ago

Can someone help with trig identities? (calculators are allowed)

Mathematics

1 answer:

Oksana_A [137]2 years ago

8 0

Answer:

Step-by-step explanation:

cosA^2 = 1 - sinA^2

subtitute 1/4 below

= 1 - (1/4)^2

= 1 - 1/16

after calculation

= - 0.9682

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When Arianna left her house,her cell phone was 45% charged started losing charge at a constant rate. 4 hours after leaving her h

4vir4ik [10]

Answer:

B = 3.75t

Step-by-step explanation:

Given;

initial charge of Arianna's phone = 45%

the charge remaining in Arianna battery = 15%

If after 4hours of leaving her house, the battery had 15% remaining battery life, then the battery is discharging at the rate of ( 15% / 4hours) 3.75% per hour.

Thus, the charge remaining in Arianna's battery after she left her house is given by;

B = 3.75t

where;

t is time in hours

B is the percentage of charge remaining

6 0

2 years ago

Salena, Justin, and Brandon were riding their bikes to the library after school. The library is 12 1/2 miles from school. Salena

faust18 [17]

Answer:

Salena's got to the library first

Step-by-step explanation:

12½ miles = 25/2 miles

2½ miles = 5/2 miles

5¾ miles = 23/4 miles

114 miles = 114 miles

Salena's time of arrival =

if 5/2 miles : 5 minutes

then 25/2 miles : ?

25/2 ÷ 5/2. × 5

25/2 × 2/5 × 5

25 minutes

Justin 's time of arrival=

if 23/4 miles : 12 minutes

25/2 miles : ?

25/2 ÷ 23/4 ×12

25/2 × 4/23 ×12

26 minutes approximately

Brandon 's time of arrival=

if 114 miles : 258 minutes

25/2 miles : ?

25/2 ÷114 ×258

25/2 × 1/114×258

25 × 1/57 × 258

113 minutes approximately

3 0

2 years ago

Betsy pours 16 cups of water to equally fill 2 bottles.how many cups of water are in each bottle?label the tape diagram to repre

Neporo4naja [7]

There would be 8 cups of water in each bottle because 16 divided by 2 is 8.

6 0

2 years ago

Read 2 more answers

1) Determine the discriminant of the 2nd degree equation below:

Aleksandr-060686 [28]

$\LARGE{ \boxed{ \mathbb{ \color{purple}{SOLUTION:}}}}$

We have, Discriminant formula for finding roots:

$\large{ \boxed{ \rm{x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} }}}$

Here,

x is the root of the equation.
a is the coefficient of x^2
b is the coefficient of x
c is the constant term

1) Given,

3x^2 - 2x - 1

Finding the discriminant,

➝ D = b^2 - 4ac

➝ D = (-2)^2 - 4 × 3 × (-1)

➝ D = 4 - (-12)

➝ D = 4 + 12

➝ D = 16

2) Solving by using Bhaskar formula,

❒ p(x) = x^2 + 5x + 6 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 5\pm \sqrt{( - 5) {}^{2} - 4 \times 1 \times 6 }} {2 \times 1}}}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 5 \pm \sqrt{25 - 24} }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 5 \pm 1}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = - 2 \: or - 3}}}$

❒ p(x) = x^2 + 2x + 1 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm \sqrt{ {2}^{2} - 4 \times 1 \times 1} }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm \sqrt{4 - 4} }{2} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm 0}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = - 1 \: or \: - 1}}}$

❒ p(x) = x^2 - x - 20 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - ( - 1) \pm \sqrt{( - 1) {}^{2} - 4 \times 1 \times ( - 20) } }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ 1 \pm \sqrt{1 + 80} }{2} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{1 \pm 9}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = 5 \: or \: - 4}}}$

❒ p(x) = x^2 - 3x - 4 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - ( - 3) \pm \sqrt{( - 3) {}^{2} - 4 \times 1 \times ( - 4) } }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{3 \pm \sqrt{9 + 16} }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{3 \pm 5}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = 4 \: or \: - 1}}}$

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5 0

2 years ago

Read 2 more answers

2x −3 y = 21 hmu wit da answer

bazaltina [42]

slope is 2/3 and y intercept is 7

5 0

2 years ago