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3 years ago

The perimeter of triangle ABC is 32 find the lengths of AC and AB

Mathematics

1 answer:

Nutka1998 [239]3 years ago

6 0

The lengths of AC and AB are each 10.6 units.

Step-by-step explanation:

Perimeter of a triangle = Sum of all the three sides of a triangle

Perimeter = 3a
where, a is the length of the each sides of a triangle.

⇒ 32 = 3a

⇒ a = 32/3

⇒ a = 10.6

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Please help :( I will mark brainliest.

baherus [9]

Answer:

The value of x is 29.

Step-by-step explanation:

→ The angles arent congruent, they are supplementary.

→ Supplementary angles equals 180 degrees.

→ The equation looks look:

$2x - 10 + 4x + 16 = 180$

→ Let's solve the equation.

$2x - 10 + 4x + 16 = 180 \\ 6x + 6 = 180 \\ \frac{ \: \: \: \: \: - 6 = - 6}{ \frac{6x}{6} = \frac{174}{6} } \\ x = 29$

→ Therefore, the value of x is 29.

7 0

3 years ago

A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps them, it wi

Stels [109]

It takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

Solution:

Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”

Here the word efficiency means the rate of doing work

Let the total work to be completed be W

According to the question,

The time taken by the school teacher to complete the work is 7 hrs.

So we can write it in equation form

$W = x \times 7$ ---- eqn 1

where W is the total work and x is the efficiency

Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as

$W =(x +y ) \times 4$

Equating eqn 1 and 2

$x \times 7=(x+y) \times 4$

7x = 4x + 4y

3x = 4y

So in ratio x : y = 4 : 3

Now putting value of x = 4 in equation (1) we get total work to be 28

Now, total time taken by the student teacher = total work ÷ efficiency of student teacher

Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs

= 9 hrs 19.8 minutes

Hence it takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

4 0

2 years ago

Help! This is due today and I'm stuck on this problem.

Varvara68 [4.7K]

Answer:

280.6 $m^2$

Step-by-step explanation:

find the length of each side:

you're only given h = 9 m

the formula for h is $h=\frac{\sqrt{3} }{2} *a$ , where a is a side length of the hexagon

plug h in:

$9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\$

a ≈ 10.392 m

now find the area of a triangle:

1/2 (10.392)(9) = 46.764 $m^2$

multiply that by 6 and you get 280.584 ≈ 280.6 $m^2$

you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: $\frac{3\sqrt{3} }{2} *a^2$

7 0

2 years ago

Read 2 more answers

the number of hours,h, it takes to wash c numbers of cars at a school fundraiser is inversely proportional to the number of stud

Alex787 [66]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{\underline{h}ours to wash a car, is inversely proportional to \underline{s}tudents working on it}}{h=\cfrac{k}{s}}$

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2 years ago

Theo bought a pair of shoes on sale for 20% off the regular price. A

alexira [117]

Answer:

Step-by-step explanation:

i think soo

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2 years ago

The perimeter of triangle ABC is 32 find the lengths of AC and AB​

The perimeter of triangle ABC is 32 find the lengths of AC and AB