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3 years ago

Point d is the center of the given circle. what is the measure of ?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

6 0

Whatb is the measure of what ? please complete this your question

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What are the values of the three trigonometric ratios for angle L, in simplest form?

Stella [2.4K]

Answer: Sin L = $\frac{4}{5}$ and CosL= $\frac{3}{5}$ and Tan L= $\frac{4}{3}$

Step-by-Step Explanation:

Since we have given that

Consider, ΔLMN,

LM = 15

MN = 20

NL= 25

$\sin L=\frac{Perpendicular}{Hypotenuse}\\\\\sin L=\frac{20}{25}=\frac{4}{5}$

And,

$\cos L=\frac{Base}{Hypotenuse}\\\\\cos L=\frac{15}{25}=\frac{3}{5}$

And,

$\tan L=\frac{Perpendicular}{base}\\\\\tan L=\frac{20}{15}=\frac{4}{3}$

Hence,

Sin L = $\frac{4}{5}$ and CosL= $\frac{3}{5}$ and Tan L= $\frac{4}{3}$

5 0

3 years ago

Read 2 more answers

Answer the question above.

Likurg_2 [28]

Answer:

576.09

Step-by-step explanation:

3 0

3 years ago

Identify the parts of the following algebraic expression.

NARA [144]

The correct answer is y/3+5

4 0

3 years ago

A department store sells yellow and purple shirts. Each yellow shirt is the same price. Each purple shirt is the same price. How

Aleksandr [31]

Answer:

The Cost of yellow shirts is $15 and the cost of purple shirt is $ 60

Step-by-step explanation:

Let cost of one yellow shirt be x

and the cost of one purple shirt be y

On Monday

5x + 7y = 165--------------------(1)

On Tuesday

4x + 11y = 213----------------------(2)

To solve (1) and (2)

multiplying eq(1) with 4

20x + 28y = 660--------------------(3)

multiplying eq(2) with 5

20x + 55y = 1056-------------------(4)

Subtracting (3) from (4)

20x + 55y = 1056

20x + 28y = 660

(-)

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

0x +27y = 405

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

$y = \frac{405}{27}$

y = 15

Substituting y value in eq(1)

5x + 7(15) = 165

5x + 105 =405

5x =405 -105

5x =300

x = \frac{300}{5}

x =60

7 0

3 years ago

Read 2 more answers

What is the smallest prime number p such that

Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

p^3 + 4p^2 + 4p

By factorization, we have:

= p(p+2)²

Now, to get exactly 30 divisor.

(p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

p₁ and p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

8 0

2 years ago