All categories

3 years ago

Can someone help me with number 10 thanks

Mathematics

2 answers:

Tamiku [17]3 years ago

5 0

Answer:

Step-by-step explanation:

4² = 4 × 4 = 16

16 - 6 = 10

stealth61 [152]3 years ago

4 0

Answer:

Step-by-step explanation:

4 to the second power is 16. When there is a number above a number but smaller it is called a power. It would be said like 4 to the second power. Then you minus the 6 and you get 10. Hope this helps!

You might be interested in

Please show work on these questions!!!

asambeis [7]

Answer:

- 14π/9; 108°; -√2/2; √2/2

Step-by-step explanation:

To convert from degrees to radians, use the unit multiplier $\frac{\pi }{180}$

In equation form that will look like this:

- 280° × $\frac{\pi }{180}$

Cross canceling out the degrees gives you only radians left, and simplifying the fraction to its simplest form we have $-\frac{14\pi }{9}$

The second question uses the same unit multiplier, but this time the degrees are in the numerator since we want to cancel out the radians. That equation looks like this:

$\frac{3\pi }{5}$ × $\frac{180}{\pi }$

Simplifying all of that and canceling out the radians gives you 108°.

The third one requires the reference angle of $\frac{3\pi }{4}$ .

If you use the same method as above, we find that that angle in degrees is 135°. That angle is in QII and has a reference angle of 45 degrees. The Pythagorean triple for a 45-45-90 is (1, 1, √2). But the first "1" there is negative because x is negative in QII. So the cosine of this angle, side adjacent over hypotenuse, is $-\frac{1}{\sqrt{2} }$

which rationalizes to $-\frac{\sqrt{2} }{2}$

The sin of that angle is the side opposite the reference angle, 1, over the hypotenuse of the square root of 2 is, rationalized, $\frac{\sqrt{2} }{2}$

And you're done!!!

7 0

4 years ago

Think about the function f(x) = 3 - 2x. What does the notation f(0) mean?

dlinn [17]

In order to find this you have to replace any x with zero therefore we will have
3 - (2*0) => 3-0 = 3
so the answer is 3

5 0

2 years ago

Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t

Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

$(AO)^2=(AD)^2-(DO)^2$

$x^{2}=5^2-3^2$

$x^{2}=25-9$

$x^{2}=16$

Upon taking square root of both sides of our equation we will get,

$x=\sqrt{16}$

$x=\pm 4$

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

$(OC)^2=(DC)^2-(DO)^2$

Upon substituting our given values we will get,

$y^2=10^2-3^2$

$y^2=100-9$

$y^2=91$

Upon taking square root of both sides of our equation we will get,

$y=\sqrt{91}$

$y\pm 9.539392$

$y\pm\approx 9.54$

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

$\text{The length of the longer diagonal}=x+y$

$\text{The length of the longer diagonal}=4+9.54$

$\text{The length of the longer diagonal}=13.54$

Therefore, the length of longer diagonal is approximately 13.54 inches.

3 0

3 years ago

how many gallons of a 50 antifreeze solution must be mixed with 90 gallons of 20% antifreeze to get a mixture that is 40% antifr

Tamiku [17]

Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of pure weight.
4) to find 50% solution of 54 gal. pure weight just 54:0.5=108 gal.
Answer: 108 gal.

3 0

3 years ago

Which phrase describes the variable expression 7 divided by s?

Yuki888 [10]

Answer:

7/s

Step-by-step explanation:

If you put 7 over s (like a fraction) That means 7 divided by s

4 0

3 years ago