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drek231 [11]
2 years ago
15

Find the area of the trapezoid. Pls explain and I will mark brainliest.

Mathematics
1 answer:
timama [110]2 years ago
8 0

Answer:

  • B. 191.4 m²

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

  • The ratio of sides of a 30°×60°×90° triangle is  1 : √3 : 2
  • The legs of a 45x45 triangle are equal

<u>The above mentioned properties give us:</u>

  • h = 16/2 = 8 m
  • b = 8√3 ≈ 13.85 m
  • a = h = 8 m

<u>Now find the area:</u>

  • A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²

Correct choice is B

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Solve the system of linear equations by substitution.<br><br> 4x−2y=14<br> y=12x−1
Alexus [3.1K]

Answer:

The answer is (-0.7, -9.4)

Step-by-step explanation:

1) Since we are using the substitution method, and we know that y = 2x-1, in the first equation, plug that into y.  It should look like this:

4x-2(12x-1) = 14

4x -24x + 2 = 14

2) Combine like terms and continue to simplify until you get a direct answer for each variable.

-20x + 2 = 14.

-20x = 12.

x = -7/10 (or -0.7)

3) Now we know what x equals, so to find our y-coordinate, we will plug this into either equation.

y = 12(-7/10) -1

y= -84/10 -1

y= -9.4

4) Now that we have our x value and y value, we know our point. The solution is (-0.7, -9.4).

3 0
2 years ago
Three-fourths of the sum of y and 3 plus the product of 9 and w
UkoKoshka [18]

Answer:

¾(y + 3) + 9w

Step-by-step explanation:

Let's write it step by step:

Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)

Step 2: plus the product of 9 and w is;

¾(y + 3) + 9w

Thus,the final algebraic expression of the statement given in the question is;

¾(y + 3) + 9w

6 0
3 years ago
How many different ordered pairs (x, y) are there suchthat x is an even integer, where 4 &lt;= x &lt;= 10, and y isan integer, w
german

Correct option is C. There are 20 ordered pairs.

Given that ordered pairs (x,y)

such that x is even integer where 4≤x≤10 and y is an integer.

where 4<y<10.

Then even integer 4≤x≤10 are four i:e

4,6,8,10

And integer 4<y<10 are five i:e

5,6,7,8,9

Then ordered pair are = 4×5=20

<h3>What are ordered pairs?</h3>

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

To learn more about ordered pairs from given link

brainly.com/question/1528681

#SPJ4

7 0
2 years ago
Expand and simplify 4(2x+4)+2(3x-5)
astra-53 [7]
Hi friend,

4(2x+4)+2(3x-5)
8x+16+6x-10
8x+6x+16-10
14x+6

Hope it helps......
3 0
3 years ago
Please help with this
SOVA2 [1]

Answer:

C. the mean is greater

Step-by-step explanation:

took the test

7 0
2 years ago
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