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vova2212 [387]
3 years ago
7

Given a right ?ABC, where AB = 4.5 cm, BC = 7.794 cm, and AC = 9 cm, sketch the triangle below, and find the measure m?C in degr

ees, rounded to the nearest tenth, if necessary. You may use sine, cosine, or tangent, it's your choice. Full credit requires a sketch and all sides of the triangle to be labeled with the lengths, and vertices to be labeled.

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

The measure of angle C is 30\°

The draw in the attached figure

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

The sine of angle C is equal to divide the opposite side to angle C by the hypotenuse

sin(C)=\frac{AB}{AC}

substitute the values

sin(C)=\frac{4.5}{9}

C=arcsin(\frac{4.5}{9})=30\°

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10.9 + (-15.6) + 2.1 write as a decimal​
Delvig [45]

Answer:

-2.6

Step-by-step explanation:

10.9 + (-15.6) becomes 10.9 - 15.6 which equals -4.7. The last step is to add the 2.1 to the -4.7: -4.7 + 2.1 = -2.6

Therefore the answer is -2.6

5 0
3 years ago
(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
daser333 [38]

The question is incomplete. Below is the complete question:

A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion 11

mm and the overall height is 18 mm.

(a) Find the volume of the pill in cubic millimeters. Round to the nearest cubic

millimeter.

(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per

cubic millimeter? Round to the nearest tenth of a cubic millimeter.

Answer:

a. 603 cubic millimetre

b. 1.7 mg/mm^3

Step-by-step explanation:

The since the pill has the shape of a cylinder and 2 hemispheres at both ends of the cylinder, if we are to calculate the volume, we will need the formula for calculating the volume of a cylinder and the volume of a hemisphere:

a. The volume of a cylinder = π×r^2×h and the volume of a hemisphere = 2×π×r^3.

The total height of the pill is 18mm but that of the cylinder specifically is 11cm, so 18 - 11 = 7mm.

This becomes the combined radius of the two hemispheres. We will now split it into 2:

7/2 = 3.5mm

This becomes the radius of each of the 2 hemispheres and will be used for calculating their respective volumes. The cylinder too will share same radius with the spheres (3.5mm). Let us take π as 3.14

Volume of the pill is then:

V =[2× (2/3 × π×r^3)] + π×r^2×h

V = [2×[(2/3) × 3.14 × 3.5^3]] + 3.14 × (3.5^2) × 11

[2 × (89.752)] + 423.115

179.504 + 423.115

= 602.619

= 603mm^3 (nearest cubic millimetre)

b. In order to find out how much vitamin C the pill will contain per cubic millimetre if it is to contain 1000mg of vitamin C, we will simply divide 1,000mg by the already calculated volume:

= 1000/63

= 1.658

= 1.7 mg/mm^3 (nearest tenth)

4 0
3 years ago
2x+3y=19 // 6x+2y=22​
zvonat [6]

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 5 )

7 0
3 years ago
Read 2 more answers
Plz Help!!! I need this Asap. Plz give an explanation and no guessing only answer if you know.
borishaifa [10]

Answer:

<h2>50°</h2>

Step-by-step explanation:

AB = AC

So, it is a isosceles triangle.

<B = <C = 65°

Sum of angles of triangle = 180°

< A + < B + <C = 180°

plug the values:

X + 65° + 65° = 180°

Calculate the sum

X + 130° = 180°

Move constant to R.H.S and change its sign

x = 180° - 130°

Calculate the difference

X = 50°

Hope this helps...

Good luck on your assignment...

7 0
3 years ago
Can u guys help plz
solong [7]
I think the answers are Number 1 -2. Number 2.  is 2. Number 3. is 4. Number. 4 is 6. And number 5. is 12. I hope this helps :)
4 0
3 years ago
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