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3 years ago

Emmanuel went to the store and

Mathematics

1 answer:

musickatia [10]3 years ago

7 0

Answer:

$148.50

Step-by-step explanation

I solved this by using fractions.

x/450=33/100 is how I set up the problem. 33/100 represents 33%, while x/450 represents how much the jacket costs now.

I then went across and multiplied x by 100, and 450 by 33, which gave me 100x=14850. After this I divided each side by 100 to get 148.5, being the cost of the jacket.

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Find the HCF of 27, 63, 54 using prime factorization method.

Step2247 [10]

Answer:

27 = 3 , 3, 3

63= 3 , 3, 7

54= 3 , 3, 3, 2

HCF OF 27, 63 AND 54 = 3 X 3 = 9

HOPE THIS HELPS YOU MATE Plz mark it as brainliest answer 

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3 years ago

In abc above,what is the length of ad

Nezavi [6.7K]

Answer:

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2BD = 12 $\sqrt{3}$ ( divide both sides by 2 )

BD = 6 $\sqrt{3}$

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

tan30° = $\frac{opposite}{adjacent}$ = $\frac{AD}{BD}$ = $\frac{AD}{6\sqrt{3} }$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ AD = 6 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

AD = 6 → B

4 0

3 years ago

Write an equation for the perimeter of the rectangle

jeka94

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

4 0

2 years ago

Read 2 more answers

What should be added to both sides of this equation to solve for the variable? -6 + f = 13

SpyIntel [72]

Answer:

Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A rectangular prism has a base area of 56 square feet and a volume of 840 cubic feet. The length of the base is longer than the

katovenus [111]

The answer is 8 ft.

The base area of rectangular prism is: A = l * w = 56 ft²
The length of the base is longer than the width: l > w

The volume of the prism is: V = l * w * h = 840 ft³
The sum of the length and width of the base is equal to the height of the pyramid: l + w = h

So:
l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft

Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56

Or: l² - 15l + 56 = 0

Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2

l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7

If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w

Therefore, l = 8 ft.

6 0

3 years ago