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1 year ago

Please do it fast before 12:00pm

Mathematics

1 answer:

hram777 [196]1 year ago

8 0

Considering each part of the prism and it's dimensions, the surface area of the prism is of 127 cm².

<h3>What is the surface area of a figure?</h3>

It is the sum of the areas of all faces of the figure.

In this problem, the figure is composed by:

Two right rectangular faces, with legs 5 cm and 12 cm.

One rectangular face, with sides 6 cm and 12 cm.

One square face, with side of 5 cm.

The measures are in cm, hence the areas will be in square centimeters. The separate areas are given by:

$A_1 = 0.5 \times 5 \times 12 = 30$ .

$A_2 = 6 \times 12 = 72$ .

$A_3 = 5^2 = 25$ .

Then, the surface area of the prism is given by:

S = 30 cm² + 72 cm² + 25 cm² = 127 cm².

More can be learned about surface areas at brainly.com/question/26702574

#SPJ1

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PLEASE HELP ASAP WILL MARK BRAINLIEST

xz_007 [3.2K]

The answer is C good luck on ur test

3 0

2 years ago

Read 2 more answers

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

2 years ago

A boat travels 30 miles up the river in the same amount of time it takes to travel 38 miles down the same river. If the current

Ksenya-84 [330]

X miles per hour - <span> speed of the boat in still water
(x - 2) - speed up the river
(x + 2) - speed down the river
</span>
$\frac{30}{x - 2}$ = $\frac{38}{x + 2}$
30 * (x + 2) = 38 * (x - 2)
30x + 60 = 38x - 76
- 8x = - 136
x = 17 miles per hour - <span>the speed of the boat in still water.</span>

5 0

2 years ago

the classroom has four desks in each row there are five rows how many decks five rows how many desks are in the classroom

RUDIKE [14]

5 rows x 4 in each = 20 chairs in the classroom

3 0

3 years ago

On a car trip, Ben drove 65 miles more than half the number of miles Steve drove. Together they drove 500 miles. How many miles

tatyana61 [14]

Answer:

210 miles

Step-by-step explanation:

Let's represent it mathematically.

Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by

B = 65 + ½S

It is also said that together, they drove 500 miles, we represent it with.

B + S = 500

Now, we solve simultaneously.

Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.

2B = 130 + S.

Rearranging, we have

S = 2B - 130.

We substitute this value of S, in the second equation. So we have.

B + (2B - 130) = 500, open the brackets

B + 2B - 130 = 500

3B - 130 = 500, collecting the like terms

3B = 500 + 130

3B = 630

B = 630/3

B = 210 miles.

Therefore, Ben drove 210 miles.

Kindly vote Brainliest.

7 0

3 years ago