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2 years ago

Which equation can be used to solve for b?

Mathematics

2 answers:

Katarina [22]2 years ago

5 0

Answer:

$tan(30) = \frac{5}{b}$

Step-by-step explanation:

Trigonometric Ratios.

To solve for b, we check the parameters that are given in the triangle.

If we're considering 30°, we can see that the opposite is given as 5cm and the adjacent is b.

Applying:

$tan \alpha = \frac{oppsite}{adjacent} \\ \\ tan \: (30) = \frac{5}{b}$

Fudgin [204]2 years ago

4 0

Answer: A.

Step-by-step explanation:

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Find the coordinates of the intersection of the diagonals of parallelogram HJKL with the given vertices: H(-1, 4), J(3, 3), K(3,

lakkis [162]

Answer:

(1, 1)

Step-by-step explanation:

Given vertices of the parallelogram:

H = (-1, 4)
J = (3, 3)
K = (3, -2)
L = (-1, -1)

Therefore the parallel sides are:

$\sf \overline{HJ} \parallel \overline{LK}\:\: \textsf{ and }\:\: \overline{LK} \parallel \overline{HL}$

Therefore, the diagonals of the parallelogram are:

$\sf \overline{LJ} \:\: \textsf{ and }\:\:\overline{HK}$

To find the coordinates of the intersection of the diagonals, either:

draw a diagram (see attached) and determine the point of intersection of the diagonals from the diagram, or
determine the midpoint of either diagonal (as the diagonals of a parallelogram bisect each other, i.e. divide into 2 equal parts).

Midpoint between two points

$\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)$

To find the midpoint of diagonal LJ, define the endpoints:

$(x_1,y_1)=L=(-1, -1)$
$(x_2,y_2)=J=(3,3)$

Substitute the defined endpoints into the formula and solve:

$\begin{aligned} \implies \textsf{Midpoint of LJ} & =\left(\dfrac{3-1}{2},\dfrac{3-1}{2}\right)\\ & =\left(\dfrac{2}{2},\dfrac{2}{2}\right)\\ & =\left(1,1\right) \end{aligned}$

Therefore, the coordinates off the intersection of the diagonals of parallelogram HJKL are (1, 1).

Learn more about midpoints here:

brainly.com/question/27962681

8 0

2 years ago

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→Can someone help me←

Airida [17]

Answer:

Step-by-step explanation:

When written as proportions, the ratios of oranges to cups of juice are always equal.

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4 years ago

Porfavor ayudenme con esto (2x^2 + 7y^4)^3

alisha [4.7K]

The answer to your question should be: ↓

8 0

3 years ago

The asymptote of the function f(x) = 3x + 1 – 2 is_________ . Its y-intercept is_____ .

mixas84 [53]

Asymptote is y = -1

y-intercept is (0, -1)

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4 years ago

Read 2 more answers

Carlos ran 7 miles in 57 3/4 minutes. How fast did he run each mile?

Kay [80]

How fast did he run each mile, that is to say how fast did he run 1 mile.

We can simply find the time it took him to run 1 mile.

He ran 7 miles in 57 3/4 minutes = 57.75 minutes.

In 1 mile he would run = 57.75/7 minutes = 8.25 minutes.

He ran 1 mile, that is each mile in 8.25 minutes.

I hope this helped.

4 0

4 years ago