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3 years ago

Which property can be justified using the ratios in triangle XYZ ?

Mathematics

2 answers:

Alenkasestr [34]3 years ago

6 0

The correct answer is B.

Determine and recall first the trigonometric functions:

Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent

If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z.

Use this test to answer:

Sin Y = Y/X

where:

Y = opposite
X = hypotenuse

Cos (90 - y) = cos (90 - 50) = cos 40

where Z = 40
we look for cos Z = Y/X

Therefore,

Sin Y = Cos (90 - Y)

MatroZZZ [7]3 years ago

6 0

The previous answer is correct. There are 2 question that look the ecaxt same. Yet are different. The answer is indeed B

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Which expression is a factor of 16x^2-81

krek1111 [17]

Answer:

Step-by-step explanation:

Reasoning: the square root of 16 is 4 and 81 square root is 9

so it is b pls give brainliest! have a good day

3 0

3 years ago

Find u, v , u , v , and d(u, v) for the given inner product defined on Rn. u = (0, −4), v = (5, 3), u, v = 3u1v1 + u2v2

tigry1 [53]

Answer:

$=-12$

$d(u,v)=2\sqrt{31}$

Step-by-step explanation:

We are given that inner product defined on $R_n$

$=3u_1v_1+u_2v_2$

u=(0,-4),v=(5,3)

We have to find the value of <u,v> and d(u,v)

We have $u_1=0,u_2=-4,v_1=5,v_2=3$

Substitute the value then we get

$=3(0\cdot5)+(-4)(3)=-12$

Now, $d(u,v)=\left \|v-u\right \|$

Using this formula we get

$d(u,v)=\left \| (5,7) \right \|=\sqrt{3(5)^2+(7)^2}=\sqrt{75+49}=\sqrt{124}$

$d(u,v)=2\sqrt{31}$

7 0

3 years ago

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approxi

Bingel [31]

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

$A(t) = A(0)(3)^{(\frac{t}{n})}$

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that $A(0) = 2463, n = 12$ . So

$A(t) = A(0)(3)^{(\frac{t}{n})}$

$A(t) = 2463(3)^{(\frac{t}{12})}$

Approximate the population of the town 5 years from now.

This is A(5). So

$A(t) = 2463(3)^{(\frac{t}{12})}$

$A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8$

Rounding to the nearest whole number, 3893 residents.

4 0

3 years ago

What is the variable of 6(x+5)= -36

levacccp [35]

6 (x + 5) = -36

6x +30 = -36 (distribute)

6x +30 (-30) = -36 -30

6x = -66

x = -11

3 0

3 years ago

Audrina uses 9.7 pints of blue paint and white paint to paint her bedroom walls. 3 5 of this amount is blue paint, and the rest

Lady bird [3.3K]

Answer:

6.2 pints of white paint.

Step-by-step explanation:

9.7 is the sum of both paints used to pain her bedroom walls. If we know that 3.5 of the 9.7 was blue, we can safely assume that the remainder of the paint was white, thus 9.7 - 3.5 = 6.2

7 0

3 years ago