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3 years ago

PLEASE HELP with this Geometry question

Mathematics

1 answer:

Gnoma [55]3 years ago

3 0

Step-by-step explanation:

DE = 5x-2

DF = 3(x+3)

3(x+3) = 3 + 5x-2

3x+9= 5x+1

2x=8

x=4

DE=5×4-2=18

DE=18

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Find the exact value of cos 45º in simplest form with a rational denominator.

goldenfox [79]

Answer:

$\frac{\sqrt{2} }{2}$

Step-by-step explanation:

Cos is Adjacent over Hypotenuse, (see picture below)

x/xsqrt(2)

1/sqrt(2)

sqrt(2)/2

8 0

3 years ago

Find the area of the figure

Pani-rosa [81]

Answer:

42.12cm²

Step-by-step explanation:

Firs well have to find the hypotenuse of the big and small right angled triangles because it is the length of the long and short diagonals which is needed in solving

The bigger triangle

Using Pythagoras theorem

let the length be x

x²=10²+6²

x²=100+36

x²=136

√x²=√136

x=√136

x=11.7m

The smaller triangle

Using Pythagoras theorem

let the length be y

y²=6²+4²

y²=36+16

y²=52

√y²=√52

y=√52

y=7.2

Now to find the total area of the shape which is a kite

Formula=

1/2 x D1 x D2

D1 is the long diagonal which is the hypotenuse of the bigger triangle and D2 is the shorter diagonal the hypotenuse of the smaller triangle

$\frac{1}{2} \times 11.7 \times 7.2 \\ = \frac{11.7 \times 7.2}{2} \\ = \frac{84.24}{2} \\ = 42.12 {cm}^{2}$

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>

3 0

3 years ago

Help!! I literally don’t know the answer

dem82 [27]

The answer is 6240 + 5t < 8000.

The 6240 represents the combined weight of the horses, regardless of how much they carry, so this will remain constant and without a variable. There are 5 horses, and it unknown how much weight they will carry, so this is represented as 5t. This total must be less that 8000 pounds, as this is the most the trailer can transport.

Hope this works!

7 0

3 years ago

Identify the function that contains the data in the following table: x -2 0 2 3 5 f(x)

Veseljchak [2.6K]

Answer:

f(x) = |x - 2| + 1

Step-by-step explanation:

When x = -2, then f(-2) = 5

The first function gives the relation equation as f(x) = |x| + 1

So, f(-2) = |-2| + 1 = 2 + 1 = 3 ≠ 5

{Since the definition of |x| is given by

|x| = x, when x ≥ 0 and |x| = - x, when x < 0}

Again, the second function gives the relation equation as f(x) = |x - 2|.

So, f(-2) = |-2 - 2| = |-4| = 4 ≠ 5

Now, the third function gives the relation equation as f(x) = |x - 2| - 1.

So, f(-2) = |-2 - 2| - 1 = |-4| - 1 = 4 - 1 = 3 ≠5

Again, the fourth function gives the relation equation as f(x) = |x - 2| + 1.

Hence, f(-2) = |-2 - 2| + 1 = |-4| + 1 = 4 + 1 = 5

Therefore, the fourth function f(x) = |x - 2| + 1 contains the given data table.

For further clarity we can check f(0) = 3, f(2) = 1, f(3) = 2 and f(5) = 4. (Answer)

6 0

4 years ago

Read 2 more answers

Max makes bread that calls for 7/8 cup of raisins per loaf. He has 5 1/4 cups of raisins. How many loaves of bread can he make?

Sveta_85 [38]

Answer:

False.

Step-by-step explanation:

The answer is NOT 6 1/2 loaves it is 6 loaves.

Knowing that there Max has 5 1/4 cups of raisins and each loaf requires 7/8 cup of raisins, we would need to divide.

Let's turn the 5 1/4 into an improper fraction so when we divide the two fractions, it would be easier!

<u>To turn 5 1/4 into an improper fraction we need to...</u>

5 x 4 = 20

20 + 1

21/4

Now we divided 21/4 by 7/8.

When dividing fractions remember the rule: KEEP CHANGE FLIP!

We keep the first fraction...which is 21/4 in this case

Change the sign from division to multiplication

21/4 x 7/8

And flip 7/8 so it becomes 8/7

21/4 x 8/7

= 168/28

= 6 loaves

So, the answer is not 6 1/2 loaves (false!)

7 0

3 years ago

Read 2 more answers