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3 years ago

32 ounces of water in a glass someone drink 55% how many ounces left in glass

1 answer:

5 0

Hello!

Convert 55% to a decimal by dividing it by 100.

55 ÷ 100 = 0.55

Next, multiply the total amount of ounces of water by this decimal.

32 × 0.55 = 17.6

Finally, subtract the amount of ounces that person drank from the total number of ounces before they drank.

32 - 17.6 = 14.4

ANSWER:

14.4 ounces of water are left in the glass.

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(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.

Nana76 [90]

Look at the picture.

$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}$

We have the right triangle x, y and r. From the Pythagorean theorem we have:

$r^2=x^2+y^2\to r=\sqrt{x^2+y^2}$

We have the point

$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

$r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1$

$\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}$

8 0

3 years ago

please help A hologram projection of Leia is 5.5 feet tall. The angle from the ground to the top of the hologram is 25°. How far

olya-2409 [2.1K]

Answer:

11.7947881

depends now how you wanna round it

Step-by-step explanation:

tan(25)=5.5/x

x=5.5/tan(25)

x=11.7947881

this is how we round it in my school

x≈11.8

3 0

3 years ago

Plot the points A(7,1), B(-2, 3), C(1, -7) on the coordinate axes below. State the

Tanzania [10]

A B

D C

vectors

AB = DC

AB (-2-7 ; 3-1) => AB (-9 ; 2)

DC (1-x : -7-y)

1 - x = -9 => x = 10

-7-y = 2 => y = -9

D(10 ; -9)

4 0

2 years ago

I need help with this

yanalaym [24]

Answer:

(-2, -4)

Step-by-step explanation: because its going backwards it should be a negative slope :)

I'm sorry if I'm wrong but i hope this helps :)

6 0

3 years ago

A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem t

fgiga [73]

No, Abe is incorrect.

If you don’t know which side is the hypotenuse, you have to try every possibility.

3^ + 4^ = 5^
25 = 25

The triangle is a right triangle. The side which is 5 cm long is the hypotenuse.

8 0

3 years ago