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3 years ago

Find m angle T, rounded to the nearest degree

Mathematics

1 answer:

Butoxors [25]3 years ago

6 0

Answer: First option.

Step-by-step explanation:

You can use the inverse tangent function to find the value of the angle T:

$\alpha=arctan(\frac{opposite}{adjacent})$

You can identify in the figure that:

$\alpha=T\\opposite=RG=8\\adjacent=TR=15$

Then, knowing these values, you can substitute them into $\alpha=arctan(\frac{opposite}{adjacent})$ .

Therefore, you get that the value of the angle T rounded to the nearest degree is:

$T=arctan(\frac{8}{15})\\\\T=28\°$

This matches with the first option.

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Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate

astra-53 [7]

Answer:

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Step-by-step explanation:

8 0

3 years ago

I'll give you 25 points! I just need help!

ratelena [41]

Answer:

add sum of all the angle given

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2 years ago

3. As part of your weight training regimen, you want to consume lean sources of protein. You want consume at least 300 Calories

erastova [34]

Answer:

Let x ounce of chicken and y ounce of tofu were taken,

∵ One ounce of chicken provides 35 Calories and 8.5 g of protein,

So, in x ounces of chicken

Calories = 35x, Protein = 8.5x grams,

Now, One ounce of tofu provides 20 Calories and 2.5 g of protein.

So, in y ounces of tofu,

Calories = 20y and protein = 2.5y grams,

Thus, the total calories = 35x + 20y,

Total protein = 8.5x + 2.5y

According to the question,

35x + 20y ≥ 300 -----(1),

8.5x + 2.5y ≥ 48 ----(2),

Now, the cost of a pound for chicken = $ 5,

So, the cost of 16 ounces of chicken = $ 5 ( ∵ 1 pound = 16 ounces ),

⇒ the cost of 1 ounces of chicken = $\frac{5}{16}$ dollars,

Similarly, the cost of a pound of tofu = $ 2.5,

So, the cost of 1 ounces of tofu = $\frac{2.5}{16}$ dollars,

Thus, the total cost of x ounces of chicken and y ounces of tofu

$C=\frac{5}{16}x+\frac{2.5}{16}y$

Now, by graphing the above constraints ( by equation (1) and (2) )

We get a feasible region that shows the possible values of x and y,

The boundary points of the feasible region are,

(2.545, 10.545), (0, 19.2), (8.571, 0)

$C=\frac{5}{16}\times 2.545+\frac{2.5}{16}\times 10.545 = 2.443$

$C=\frac{5}{16}\times 0+\frac{2.5}{16}\times 19.2 = 3$

$C=\frac{5}{16}\times 8.571+\frac{2.5}{16}\times 0 = 2.678$

Hence, the minimum cost is $ 2.443,

For which 2.545 ounces of chicken and 10.545 ounces of tofu should be eaten.

3 0

3 years ago

A movie theater sold 422 tickets on Friday. On Saturday, they sold 518 tickets. What was the approximate percentage that ticket

Katena32 [7]

Hi! Ok, first you find the difference between the two amounts. (96) Then, divide that by the original number (422). Then multiply by 100 (move the decimal place 2 places to the right). You get 22.74 % (not rounded).

Hope that helps!

5 0

4 years ago

Which binomial is a factor of 8x^2y^3-18y

Musya8 [376]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

$8x^2y^3-18y$

Apply exponent rule: $a^{b+c}=a^ba^c$

$8x^2y^3-18y=8yy^2-18y$ ∵ $x^2y^3=yy^2$

$=4\cdot \:2yy^2+9\cdot \:2y$

Factor out common term 2y

$=2y\left(4x^2y^2-9\right)$

We know that the Binomial is an expression that consists of two terms. Thus,

(4x²y²- 9) represents the binomial factor of $8x^2y^3-18y$

We can further simplify by Factoring 4x²y² - 9: (2xy + 3) (2xy - 3)

$=2y\left(2xy+3\right)\left(2xy-3\right)$

Here:

(2xy + 3) and (2xy -3) are the binomial factors of $8x^2y^3-18y$ as each of them consists of two terms.

6 0

3 years ago