All categories

2 years ago

1) Find the value for a that makes sin a = cos 25 true A ) 35 B) 65 D ) 155

Mathematics

1 answer:

svet-max [94.6K]2 years ago

6 0

Answer:

Step-by-step explanation:

Using the cofunction identity

sin(90 - x)° = cosx°

Here x = 25° , then

cos25° = sin(90 - 25)° = sin65°

You might be interested in

Solve |3k-2|=2|k+12|

Stella [2.4K]

Answer:

$k = 26$ or $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

$\dfrac{|3k - 2|}{|k + 12|} = 2$

$|\dfrac{3k - 2}{k + 12}| = 2$

$3k - 2 = 2(k + 12)$ or $3k - 2 = -2(k + 12)$

$3k - 2 = 2k + 24$ or $3k - 2 = -2k - 24$

$k = 26$ or $5k = -22$

$k = 26$ or $k = -\dfrac{22}{5}$

7 0

3 years ago

Answer with explanation plz

Nostrana [21]

The answer is 78.5 because the formula to find area is πr2 so the radius is 5ft π is 3.14 so 3.14 times 5 and the 2 on top of r means the u have to do 5 times 5 which is 25 now it's real simple do 3.14 times 25 which is 78.5 I HOPE THIS HELPS=)

7 0

3 years ago

Eastside middle school has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth-grade students are the

hichkok12 [17]

480 six graders
1,500*0.32 = 480

6 0

3 years ago

The sum of two numbers is 126 and their difference is 42. what are two numbers

Snowcat [4.5K]

Answer:

Step-by-step explanation:

$x,\ y-numbers\\\\\text{The system of equations:}\\\\\underline{+\left\{\begin{array}{ccc}x+y=126\\x-y=42\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=168\qquad\text{divide both sides by 2}\\.\qquad x=84\\\\\\\text{Put the value of}\ x\ \text{to the first equation:}\\\\84+y=126\qquad\text{subtract 84 from both sides}\\y=42$

8 0

3 years ago

I would like you to help me with that since I do not understand very well please

JulijaS [17]

When you see the symbol "△", this denotes a triangle. Now combine the symbol with the letters FGH, this becomes △FGH, meaning a triangle FGH, with F, G, and H as the three points.

Now, the symbol "∠" means angle and "m∠" means the measure of an angle. So m∠F means the angle at the point F, m∠G means the angle at the point G, and m∠H means the angle at the point H. (I'll attach a diagram of this triangle).

Now we have to determine m∠H, which is the angle at point H. To do that, we have to find the value of $x$ . To do that, we have to use one of the laws of a triangle, which is:

The sum of angles in a triangle = 180°. This means when we add all the angles in a triangle, it sums up to 180°. Let's do that.

$\angle F + \angle G + \angle H = 180\textdegree \\\angle F = (5x - 6)\textdegree, \angle G = (3x + 16)\textdegree, \angle H = (x + 8)\textdegree \\(5x - 6) + (3x + 16) + (x + 8) = 180\\5x + 3x + x - 6 + 16 + 8 = 180\\9x + 18 = 180\\9x = 180 - 18\\9x = 162\\x = 18\textdegree$

Now that we have found the value of x as 18°, we can substitute its value to determine the angle H.

$m\angle H = (x + 8), x = 18\\m\angle H = 18 + 8\\m\angle H = 26\textdegree$

I hope you understand the explanation.

8 0

3 years ago