All categories

3 years ago

80 PTS In the triangle below X=[?] cm. Round to the nearest tenth.

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

Answer:

x = 8.6 cm

Step-by-step explanation:

To find x, we need to take the sin ratio of the 35° angle.

Identity

sin∠x = opposing side length / length of hypotenuse

Solving

sin35° = 0.57
sin35° = x/15
⇒ x/15 = 0.57
⇒ x = 15 × 0.57
⇒ x = 8.55 cm
⇒ x = 8.6 cm

You might be interested in

HELP ASAP!!!!!!!!!!!

qaws [65]

Answer:c

Step-by-step explanation:

7 0

3 years ago

Find the solution for the following equations using substitution or elimination:

Dvinal [7]

Answer:

(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 5

4x + 2y = 18

Step 2: Rewrite systems

2x - 3y = 5

y = 9 - 2x

Step 3: Solve for x

Substitute: 2x - 3(9 - 2x) = 5
Distribute -3: 2x - 27 + 6x = 5
Combine like terms: 8x - 27 = 5
Add 27 on both sides: 8x = 32
Divide 8 on both sides: x = 4

Step 4: Solve for y

Define: 2x - 3y = 5
Substitute: 2(4) - 3y = 5
Multiply: 8 - 3y = 5
Isolate y term: -3y = -3
Isolate y: y = 1

And we have our final answer!

8 0

3 years ago

A car travels 35 miles in 3 hours. At this rate, how many miles will the car travel in ½ hour? (Convert answer to a fraction)

Ber [7]

Answer:

5 5/6 miles

Step-by-step explanation:

There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is

5 5/6 miles.

3 0

3 years ago

jason and his two brothers are painting the fence.it takes four minutes to paint one board if the fence has 147 boards how long

True [87]

Answer:

588

Step-by-step explanation:

If 1 board takes 4 minutes and there are 147 boards, you have to multiply 147 by 4, which equals 588.

5 0

3 years ago

Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

3 years ago