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Naddik [55]
2 years ago
5

Please answer this :(​

Mathematics
1 answer:
mojhsa [17]2 years ago
4 0

Answer:

68.9°

Step-by-step explanation:

Using Sine rule

x/sin X = y/sin Y

4.5/sin X = 4/sin 56

sin X × 4 = 4.5 × sin 56

sin X = 4.5 × sin 56/4

X = arc sin (4.5 × sin 56/4)

X = 68.85449°

Approximately = 68.9°

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I will give lot of points please help
zheka24 [161]

Answer:

V = 43323 mm³

(second answer is already correct)

Step-by-step explanation:

these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.

the volume of a cylinder can be found with the formula:

V = πr²h

(V = volume ; π = pi ; r = radius ; h = height)

We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.

diameter = 19.05

radius = 19.05 / 2 = 9.525

so, r = 9.525

we also are given the height of this cylinder, 38 mm

so, h = 38

π = 3.14159 (π is a constant)

plugging our measurements into the volume formula:

 V = πr²h

V = (3.14159)(9.525²)(38)

V =  (3.14159)(362.9025)(38)

V = 43323.4894628

[rounded to V = 43323 mm³]

And yes, the volume is not affected by a change in shape. (you are correct)

hope this helps!!

4 0
2 years ago
Read 2 more answers
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we
Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0
3 years ago
Does anyone know what this is?
KIM [24]

Answer:

45°

Step-by-step explanation:

90÷2 = 45

8 0
3 years ago
Read 2 more answers
Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
What is 26.17 in word form
stellarik [79]
26.17 is twenty-six and seventeen hundredths.
5 0
2 years ago
Read 2 more answers
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