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valkas [14]
3 years ago
11

Heidi hikes two trails, the Big Trapezoid and the Little Trapezoid. The shorter base of the Big Trapezoid is 2 mi long, while th

e longer base is 8 mi. The longer base of the Little Trapezoid is 4 mi long. The trails are similar shapes.
What is the length of the shorter base of the Little Trapezoid trail?
Mathematics
1 answer:
Ivenika [448]3 years ago
8 0
If the shapes are similar and the smaller trapezoid's long base is half of the big trapezoid's long base than that means that the small trapezoid's short base would be half of the big trapezoid's short base.

Answer: The Little Trapezoid's shorter base is 1 mi long.

I hope this helps.
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Solve for me please this is trigonometry
Vladimir79 [104]

Answer:

x= 23.4

Step-by-step explanation:

In a right triangle the tangent of an angle is the ratio of the opposite length over the adjacent*. In formulas, tan 54° = x/17 Solving for x, using a calculator for the tangent, x= 23.4

*I promise I didn't just spellcheck that.

3 0
2 years ago
Vertical? Supplementary? Right? Complementary?
Reika [66]

Answer:

D

Step-by-step explanation:

because we know that angle EOD is less the 90 so that means that it is complementary. For AOB it is  the same but we can check by adding 35 plus x plus 90 =180 degrees  so 35+90=125  x=180-125=55 so x=55 and 55 is less then 90  so it is a complementary angle.

7 0
3 years ago
A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies under her pillow. The followi
vfiekz [6]

Answer:

34

Step-by-step explanation:

Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.

The general formula of that geometric sequence will be: t = 1 + 2^(n-1)

We need to find the value of n when t will be over 5,000,000,000.

So, the equation becomes:

5,000,000,001 = 1 + 2^(n-1)

2^{n-1}= 5,000,000,001

log(2^{n-1}) = log(5,000,000,000)

(n-1) * log(2) = log(5,000,000,000)

n-1 = log(5,000,000,000) / log(2)

n-1 = 22.25

n = 33.25

Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.

7 0
3 years ago
A certain recipe requires 415 cups of flour and 237 cups of sugar. a) If 49 of the recipe is to be made, how much sugar is neede
Bas_tet [7]
49*237

11613

That's a lot of sugar, diabetes here we come :)


7 0
3 years ago
John sells hamburgers ($3) and cheeseburgers ($3.50). One afternoon he sells a total of 24 burger for $79. How many of these wer
ankoles [38]

John sold 10 hamburgers and 14 cheeseburgers.

Step-by-step explanation:

Given,

Cost of one hamburger = $3

Cost of one cheeseburger = $3.50

Total burgers sold = 24

Total revenue earned = $79

Let,

Number of hamburgers sold = x

Number of cheeseburgers sold = y

According to given statement;

x+y=24   Eqn 1

3x+3.50y=79    Eqn 2

Multiplying Eqn 1 by 3

3(x+y=24)\\3x+3y=72\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(3x+3.50y)-(3x+3y)=79-72\\3x+3.50y-3x-3y=7\\0.50y=7

Dividing both sides by 0.50

\frac{0.50y}{0.50}=\frac{7}{0.50}\\y=14

Putting y=14 in Eqn 1

x+14=24\\x=24-14\\x=10

John sold 10 hamburgers and 14 cheeseburgers.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/13070361
  • brainly.com/question/13084321

#LearnwithBrainly

3 0
3 years ago
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