All categories

2 years ago

What is the area of the figure? A) 18 yd2 B) 54 yd2 C) 72 yd2 D) 90 yd2

Mathematics

1 answer:

den301095 [7]2 years ago

4 0

Answer:

72 yd²

Step-by-step explanation:

area of this figure = area of 1st rectangle + area of 2nd rectangle

= l×b + L×B

= 6 × 5 + 14 × 3

=30 + 42

= 72 yd²

You might be interested in

the flagpole in front of silver pine elementary school is 18.374 feet tall what is 18375 roundef to the nearest tenth

MAXImum [283]

18.374 rounded to the nearest tenth is 18.400.

Because 7 is after 5 so we will round to the next tenth......18.400

Hope I helped:P

3 0

2 years ago

Read 2 more answers

Use elimination to solve each system of equations.

Allushta [10]

Answer:

x=-3

Y=-5

Step-by-step explanation:

2x-y=-1 ×2

3x-2y=1. ×1

4x-2y= -2

3x-2y=1

eliminate y by subtracting

7 0

3 years ago

A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude

I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

Heron's Formula

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

$\sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}$

where ( s ) :

$\sf \longrightarrow s = \dfrac{a + b + c}{2}$

Therefore, for the given triangle first we will calculate ( s )

$\begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}$

Now, Area of triangle will be:

$\begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}$

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

$\begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}$

3 0

1 year ago

Read 2 more answers

I need help with this please

Alex

Answer:

650 cm²

Step-by-step explanation:

Use the formula 2(lw+wh+lh)

Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²

And there you go!

Please mark brainliest!

3 0

2 years ago

Please help brainlist

olga_2 [115]

Answer:

Step-by-step explanation:

The answer is B because if a line goes through (0,0) then it is automatically proportional.

6 0

2 years ago