MATHEMATICS HIGH SCHOOL

NEED HELP WITH MATH QUESTION ITS ABOUT FINDING AREA OF A TRIANGLE !! I WOULD BE REALLY GRATEFUL IS SOMEONE HELPED ME WITH A FEW QUESTIONS AFTER THIS

Answers

Answer 1

Answer:

Answer:

The area of triangle is 59.2 in².

Step-by-step explanation:

If a, b and c are three sides of a triangle then the area of triangle by heron's formula is

$A=\sqrt{s(s-a)(s-b)(s-c)$ .... (1)

where,

$s=(a+b+c)/(2)$

From the given figure it is clear that the length of sides are 12 in, 18 in and 28.8 in. The value of s is

$s=(12+18+28.8)/(2)=29.4$

Substitute s=29.4, a=12, b=18 and c=28.8 in equation (1).

$A=√(29.4(29.4-12)(29.4-18)(29.4-28.8))$

$A=√(3499.0704)$

$A=59.15294$

$A\approx 59.2$

Therefore the area of triangle is 59.2 in².

Answer 2

Answer:

Answer:

65.8 in²

Step-by-step explanation:

Given a triangle with 2 sides and the included angle then the area (A) is

A = 0.5 × a × b × sinΘ

where a, b are the 2 sides and Θ the included angle

here a = 18, b = 12 and Θ = 147°, hence

A = 0. 5 × 18 × 12 × sin147°

= 108 × sin147° ≈ 65.8 ( to the nearest tenth )

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PLEASE HELP ME ASAP!! Solve the system of equations by substitution.Show Your Work
Y=2x-4
x+3y=4

Answers

the answer is x = 16/7

Subtract 5-3 1/3 fraction

Answers

5 = 15/3

3 1/3 = 10/3

15/3 - 10/3 = 5/3

so 5-3 1/3 is either 5/3 or 1 2/3.

Mrs. Torres’s class has 28 students. The class includes 12 boys. What is theratio of girls to boys?

Answers

Answer:

16:12 or 4:3

Step-by-step explanation:

Girls + boys = 28

Girls + 12 = 28

Girls = 16

Girls to boys:

16:12

16/12

4:3

Answer:

4:3

Step-by-step explanation:

Because there are 12 boys out of the 28 students in the class, there would have to be 16 girls in the class. This information would make the ratio 16:12. Although that is not the lowest you can go, so you would divide both numbers by the same value, to get both as low as possible, in this case, you would divide both by 4. Now your ratio is 4:3, which can also be said as, for every 4 girls in the class, there are 3 boys.

The diagram shows two parallel lines a andb cut by transversal lines.
Part A
What is an equation that can be used to
solve for x?
Part B
What is the value of x?

Answers

Answer:

y = 180 - (36 + 65)

x = 69

Step-by-step explanation:

Final answer:

To solve for x in the given diagram of parallel lines cut by a transversal, use the concept of corresponding angles. The value of x is 60°.

Explanation:

Part A: To solve for x, we can use the corresponding angles formed by the transversal and the parallel lines. One of the corresponding angles is x + 60°. Since the other corresponding angle is 120°, we can set up the equation x + 60° = 120°. Solving for x, we find that x = 60°.

Part B: The value of x is 60°.

Learn more about parallel lines here:

brainly.com/question/32035102

#SPJ2

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.

Answers

Each spoke is 4.3 inches long.

Since the spoke is from the center of the wheel to its rim, we are looking for the radius of the circle.

Circumference = 2πr
27 = 2(3.14) r
27 = 6.28 r
27/6.28 = 6.28r/6.28
4.30 = r

45 x 42 in standard algorithm