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LenaWriter [7]
3 years ago
8

The longest side of a triangle is 8 more units than the shortest side. The third side is 4 times the length of the shortest side

. If the perimeter of the triangle is 32 units, write and solve an equation to find the length of all 3 sides of the triangle
Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

10 3/4, 4 3/4, and 9 1/2

Step-by-step explanation:

We're going to let x represent the length of the longest side. The perimeter is

x +(x-6) +2(x-6) = 25

4x -18 = 25

4x = 43

x = 43/4 = 10 3/4

Then x-6 = 4 3/4.

Multiply that two to get 8 3/2 = 9 1/2

I hope this helped! :)

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Find the missing side (X) round to the nearest hundredth
nata0808 [166]

Answer:

\displaystyle 18,28 ≈ x

Step-by-step explanation:

\displaystyle \frac{x}{11} = csc\:37 \hookrightarrow 11csc\:37 = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x

<em>OR</em>

\displaystyle \frac{11}{x} = sin\:37 \hookrightarrow xsin\:37 = 11 \hookrightarrow \frac{11}{sin\:37} = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x

Information on trigonometric ratios

\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ

I am joyous to assist you at any time.

7 0
2 years ago
Can someone help me do this with working pls
ycow [4]
∵ the two triangles are congruent

AB / AD = BC / DE
8/4 = 6/ DE
DE = 6 x 3 ÷ 8 = 3 cm
4 0
3 years ago
What is the product of 4xy and y2 + 2x?
juin [17]
The product of 4xy and y² + 2x can also be written as
4xy(y² + 2x)

When we have brackets like this, we multiply whatever is left of the brackets by everything inside.

1) 4xy multiplied by y²
    4xy x y² = 4xy³

2) 4xy multiplied by 2x
    4xy x 2x = 8x²y

3) Add together 4xy³ and 8x²y 
    4xy³ + 8x²y
3 0
3 years ago
Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79
maks197457 [2]

Answer:

30.00 – (1.79a + 0.36b + 2.99)

Step-by-step explanation:

you need to rest the amount of money pay.

6 0
3 years ago
Identify the type of function that models the situation below: The cost of mailing a letter is $0.37 for the first ounce and $0.
Gwar [14]

Answer:

The correct option is;

Step function

Step-by-step explanation:

The given information are;

The cost of mailing a letter for the first ounce= $0.37

The cost for each additional ounce = $0.23

Therefore, the cost of mailing a letter can be found from the relation;

y = (N-1) × $0.23 + $0.37

The step function can be represented as follows;

f(x) = a[b(x - h)] + k

Where;

(h. k) = The starting points

a = The vertical step separation

b = The horizontal step separation

Therefore, in the question, we have;

a = $0.23

b  = 1

h = 1

k = $0.37

Which gives;

f(x) = $0.23 × [1(x - 1)] + $0.37 = $0.23 × (x - 1) + $0.37

f(x) = $0.23 × (x - 1) + $0.37 which is similar to y = (N-1) × $0.23 + $0.37

Therefore the function that models the situation is step function.

8 0
3 years ago
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