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2 years ago

In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.

Mathematics

1 answer:

Dmitrij [34]2 years ago

3 0

Answer:

IJ is 5.8 ft

Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

This is the side facing the given angle

HI is the hypotenuse which is the side facing the right-angle

HJ is the third side which is the adjacent

Mathematically;

That is the Tan

Tan 71 = IJ/2

IJ = 2 Tan 71

IJ = 5.8

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3^3/5-2 -(4-2)^2/2 If it doesn’t compute it’s my fault.

lara31 [8.8K]

Answer:

Step-by-step explanation:

3^3/5-3-(4-2)^2/2

3^3/3-2^2/2

3-2

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3 years ago

50 points!!! Basic math!

tangare [24]

Formula for the area of the triangle:

1/2 bh

b = base

h = height

#6.

Area = 36 in²

Base = 18 in

36 = 1/2(18)h

36 = 9h

36 ÷ 9 = h

4 = h

height = 4 in

#7.

Area = 2 ft²

Height = 1 ft

2 = 1/2 b (1)

2 = 1/2 b

2 ÷ 1/2 = b

4 = b

Base = 4 ft

#8.

Area = 42 in²

Base = 12 in

42 = 1/2 (12) h

42 = 6h

42 ÷ 6 = h

7 = h

Height = 7 in

Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.

Since you find the area by multiplying things together, for example x · x = x², the exponent is there.

You do not need to worry about this being in the calculation. This will just be in units such as:

cm²

ft²

in²

m²

Just remember to use these exponents in the units for the areas.

7 0

3 years ago

Read 2 more answers

A parabola and its directrix are shown on the graph. On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0) a

sukhopar [10]

Answer:

The focus of the parabola is at the point (0, 2)

Step-by-step explanation:

Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."

Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)

5 0

3 years ago

Read 2 more answers

The square of a number is 12 less than 7 times the number. What is the number?

hjlf

Answer:

The number is either 3 or 4

Explanation:

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x

We are given that:

square of the number (x²) is 12 less than 7 times the number (7x)

Translating this into an equation, we would have:

x² = 7x - 12

Rearranging the quadratic equation:

x² - 7x + 12 = 0

Now, we factor the equation:

(x-4)(x-3) = 0

This means that:

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3

Let's check if any of the solutions is an extrovert:

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert

Since we have no restrictions on the number, therefore, both solutions would be accepted

Hope this helps :)

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3 years ago

HELP!!! Which of the following represents the asymptote of the graph

katen-ka-za [31]

X=2 or y=-1
these are the points that the graph avoids

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2 years ago