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3 years ago

What are the values of the trigonometric ratios for this triangle?

Mathematics

1 answer:

Zigmanuir [339]3 years ago

3 0

Answer:

sin© = 3/5

Cos© = 4/5

Tan© = 3/4

Explanation:

The opposite (opp) side of the right angle triangle is the side facing the angle ©

The hypothenus (hyp) side is the longest side,

The adjacent (adj) side is the third side.

sin© = opp/hyp

Cos© = adj/hyp

Tan© = opp/adj

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Can u help me. if answer is correct, i will give u brainliest

den301095 [7]

Answer:

135 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

To calculate h use Pythagoras' identity on the right triangle on the left

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = $\sqrt{225}$ = 15 , thus

A = 9 × 15 = 135 units²

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3 years ago

Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do the

Gala2k [10]

Answer:

$9\dfrac{1}{2}$

Step-by-step explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane = $4\dfrac{2}{3}$

Friend = $5\dfrac{5}{6}$

We add them together to find out how many pounds of apples they currently have.

Total Pounds = $4\dfrac{2}{3}+5\dfrac{5}{6}$

Just to make the equation clearer, we separate the whole numbers from the fractions.

$=4+5+\dfrac{2}{3}+\dfrac{5}{6}$

$=9+\dfrac{2}{3}+\dfrac{5}{6}$

Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the $/dfrac{2}{3}$ into a fraction with the same denominator.

We multiply both the numerator and denominator by 2 to have the same denominator.

$\dfrac{2*2}{3*2}=\dfrac{4}{6}$

So now we have:

$=9+\dfrac{4}{6}+\dfrac{5}{6}$

$=9+\dfrac{9}{6}or1\dfrac{1}{2}$

$Total Pounds = 10\dfrac{1}{2}$

Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

$20-10\dfrac{1}{2}$

$=9\dfrac{1}{2}$

So Kimane and his friend still need to get $9\dfrac{1}{2}$ more pounds of apples to get 20 pounds of apples.

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3 years ago

PLEASE IT'S DUE SOON! I'll GIVE YOU THE BRAINLYEST Factor The Polynomial 25x^2(x+2)-9(x+2)?

Maksim231197 [3]

Answer:

(x + 2) (5x + 3)(5x - 3)

Step-by-step explanation:

$25x^2(x+2)-9(x+2) \\ \\ = (x + 2)(25 {x}^{2} - 9) \\ \\ = (x + 2) \{ ({5x})^{2} - {(3)}^{2} \} \\ \\ = (x + 2) \{(5x + 3)(5x - 3) \}\\ \\ = \purple{ \bold{(x + 2) (5x + 3)(5x - 3) }} \\ are \: the \: required \: factors$

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2 years ago

kiersten has 23 red balloons. Catherine has 8 times more red balloons than Spirit. How many more red balloons does catherine hav

Gelneren [198K]

Answer:

161 is your answer.

Step-by-step explanation:

Easy! If Kiersten has 23 balloons and Catherine has 8 times more than Kiersten, all we need to do is multiply. 23x8=184. Now to figure out how many more red balloons Catherine has compared to Kiersten we need to subtract Kiersten's amount from Catherine's amount. 184-23=161. So Catherine has 161 more red balloons than Kiersten.

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3 years ago

In a city, 60% of the residents live in houses and 40% of the residents live in apartments.Of the people who live in houses, 20%

DIA [1.3K]

Answer:

0.75 or 75%

Step-by-step explanation:

The probability that a resident lives in a house and owns their own business is:

$P(H\cap B)=0.6*0.2\\P(H\cap B)=0.12$

The probability that a resident lives in an apartment and owns their own business is:

$P(A\cap B)=0.4*0.1\\P(A\cap B)=0.04$

Therefore, the probability that a person lives in a house, given that they own their own business is:

$P(H|B) = \frac{P(H\cap B)}{P(H\cap B)+P(A\cap B)}\\P(H|B) = \frac{0.12}{0.12+0.04} \\P(H|B) = 0.75$

The probability is 0.75 or 75%.

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3 years ago