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Arisa [49]
3 years ago
14

The diagram shows a right-angled triangle.

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

h ≈ 9.9 cm

Step-by-step explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(51°) = \frac{h}{8}

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.

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Valentin [98]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Given a revenue equation of R = -250p^2 + 120000p, find the price where the revenue is at its maximum.
cricket20 [7]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Enjal paid Rs 15,255 for smart phone with 10% discount and 13% vat. Find marked price of that smart phone.​
OlgaM077 [116]

Answer:

The marked price of the smart phone is Rs 15,000.

Step-by-step explanation:

We proceed to explain step by step how to determine the marked price of the  smart phone:

1) Divide the resulting price by the VAR factor:

C' = \frac{C''}{1 + \frac{r}{100} } (1)

Where:

C'' - Resulting price, measured in rupees.

C' - Price of the product after discount, measured in rupees.

r - VAT rate, measured in percentage.

If we know that C'' = 15,255\,INR and r = 13, then the price of the product after discount is:

C' = \frac{15,255\,INR}{1+\frac{13}{100} }

C' = 13,500\,INR

2) Divide the price of the product after discount by the discount factor:

C = \frac{C'}{1-\frac{r'}{100} } (2)

Where:

C - Marked price of the product, measured in rupees.

r' - Discount rate, measured in percentage.

If we know that C' = 13,500\,INR and r' = 10, then the marked price of the product is:

C = \frac{13,500\,INR}{1-\frac{10}{100} }

C = 15,000\,INR

The marked price of the smart phone is Rs 15,000.

8 0
3 years ago
Can anyone help me with this?
avanturin [10]

The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

<h3>How to simplify the expression?</h3>

The algebraic statement is given as:

(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6

Rewrite the algebraic statement as:

[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the like factors

[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the sum

[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]

Expand the exponents

[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]

Evaluate the products

[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]

Apply the quotient law of indices

x^(0+12) y^(10/9) z^(-4/3+3)

Evaluate the sum of exponents

x^(12) y^(10/9) z^(-1/3)

Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

Read more about simplified expression at:

brainly.com/question/723406

#SPJ1

5 0
2 years ago
Convert 5 lb., 10 oz. to ounces.<br><br> 60 oz.<br> 70 oz.<br> 85 oz.<br> 90 oz.
brilliants [131]
Since there are 16 oz in a pound, you multiply 16x5 and get 80, so then you just add the extra ounces (10) and your answer is D) 90 oz
5 0
3 years ago
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