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3 years ago

If you put 25ml into a glass how much water is needed

Mathematics

1 answer:

dlinn [17]3 years ago

6 0

Answer: it is depends on what unit of measurement your look looking for

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Solve the triangle.

Zolol [24]

∠A = 106.3°, ∠B = 20.6°, ∠C = 53.1°

<u>Step-by-step explanation:</u>

In a ΔABC, the sides opposite to the angle A is a, angle B is b, and angle C is c. a = 60 , b= 22, c = 50

We can find any one angle by cosine rule,

a² = b² + c² - 2 bc cos (A)

60² = 22² + 50² - 2(22)(50) cos A

3600 = 484 + 2500 - 2200 cos A

3600 = 2984 - 2200 cos A

3600 - 2984 = -2200 cos A

616 = -2200 cos A

cos A = 616/ -2200 = -0.28

A = cos⁻¹ (-0.28) = 106.3°

Now we can use sine rule to find angle B as,

sin A/ a = sin B / b

sin 106.3° / 60 = sin B / 22

sin B = 22 × sin 106.3° / 60

B = sin⁻¹ (22 × sin 106.3° / 60 ) = 20.6°

As we know the sum of angles in a triangle is 180°.

∠A + ∠B + ∠C = 180°

106.3° + 20.6° + ∠C = 180°

126.9° + ∠C = 180°

∠C = 180° - 126.9° = 53.1°

7 0

3 years ago

An investor invested a total of $2 comma 500 in two mutual funds. One fund earned a 9% profit while the other earned a 6% pro

sergey [27]

0.09x+0.06 (2500-x)=171

solve for x

0.09x+150-0.06x=171

0.03x+150=171

0.03x=171-150

0.03x=21

X=21÷0.03

X=700 invested at 9%

2500-700=1800 invested at 6%

Hope it helps!

5 0

3 years ago

Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B16%7D%7B9%7D%29%20%5E%7B2x%20%2B5%7D

nignag [31]

Answer: $x=-\frac{3}{5}$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

You can rewrite 16 and 9 as following:

16=4²

9=3²

Therefore, you can rewrite the left side of the equation has following:

$(\frac{4^2}{3^2})^{(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3^2}{4^2})^{-(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3}{4})^{-2(2x+5)}=(\frac{3}{4})^{(x-7)}$

As the base are equal, then:

$-2(2x+5)=x-7$

Solve for x:

$-2(2x+5)=x-7\\-4x-10=x-7\\-4x-x=-7+10\\-5x=3\\x=-\frac{3}{5}$

6 0

4 years ago

Karim is ordering video games. Each game costs $39.99, and there is a $4.85 shipping charge per order. How much will it cost him

weqwewe [10]

Given:
Cost of a game = $39.99
Shipping charge = $4.85
Let,
number of video games be "n"
Now,
total cost = (cost of each game * total no. of games) + shipping charge
= $39.99n + $4.85

So, you use the above equation to find the total cost of video games.

7 0

3 years ago

787476464.1234444×123444848847757747474= ?

user100 [1]

Answer:

9.7209913e+28

3 0

2 years ago

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