In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?

Answers

Answer 1
Answer= 4/3 or 1.33

Explanation:
In HIJ, The Measure Of J=90, IH = 5, HJ = 4, And JI = 3. What Is The Value Of The Tangent Of I To The
Answer 2

The required triangle is possible, the value of the tangent of ∠I is 1.33.

What are trig ratios?

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.

In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.

Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:

HI² = HJ² + IJ²

5² = 4² + 3²

25 = 16 + 9

tan(∠I) = opposite/adjacent = HJ/ JI = 4/3

Rounding to the nearest hundredth, we get:

tan(∠I) ≈ 1.33

Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.

Learn more about trig ratios here:

https://brainly.com/question/14977354

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Related Questions

if g(x) = 3x + 7 what is the value of g(-2)?

1- -1
2- 1
3- 8
4- 12

Answers

Answer:

12

Step-by-step explanation:

3x+7 = 12

Put these numbers in order from least to greatest.
0.78
8.7
0.078

Answers

Answer:

Least:0.078

In between: 0.78

Greatest: 8.7

Step-by-step explanation:

The length of a rectangle is 3 yd less then twice the width, and the area of the rectangle is 27 yd^2. Find the dimensions of the rectangle.

Answers

Answer:

4.5yards and 6 yards is your rectangle measurement

The table of values represents an exponential function ​f(x). What is the average rate of change over the interval −2≤x≤2? Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
−3 64
−2 16
−1 4
0 1
1 1/4
2 1/16
3 1/64
(Worth 60pts)

Answers

Answer:

-1456

-864

4

-11

-5,25

-1,93

Step-by-step explanation:

Answer:

-3.98

Step-by-step explanation:

Rate of change is:

[f(2) - f(-2)]/[2 - (-2)] = (1/16 - 16)/4 = -255/16*1/4 = -255/64 = -3.98

My mama got me doing freaking school work pls help me out

Answers

Answer:

x=50

Step-by-step explanation:

corresponding angles

A sculptor needs to lift a piece of marble it’s a cuboid with dimensions 1 by 0.2 by 0.5 marble has a density of 2.7 what’s the mass in kg

Answers

Answer:

Mass of piece of marble  = 0.27 kilogram

Step-by-step explanation:

Given:

Dimensions of cuboid = 1 x 0.2 x 0.5

Density of marble = 2.7

Find:

Mass of piece of marble

Computation:

Volume of cuboid = (l)(b)(h)

Volume of marble = 1 x 0.2 x 0.5

Volume of marble = 0.1

Mass = Density x Volume

Mass of piece of marble  = Density of marble x Volume of marble

Mass of piece of marble  = 2.7 x 0.1

Mass of piece of marble  = 0.27 kilogram

Solve the equation. 5 = g/8 what does g equal

Answers

Answer:

Step-by-step explanation:

multiply both sides by 8

do over and write g=8x5

solve 8x5=40

g=40

Pls help i'm struggling with this

Answers

Answer:

Click the second one, I truly hope that worked! :)

area of the triangle ABC ​

Answers

Answer:

180

Step-by-step explanation:

hope this answer be right :)

The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
Function r gives the remaining amount of rice, in kilograms, as a function of the number of weeks since the restaurant
owner bought the rice.
Complete the table. Type the answers in the boxes below.
WEEKS
KILOGRAMS OF RICE LEFT
6
12

Answers

Answer:

6 weeks = 48 kg

12 weeks = 21 kg

Step-by-step explanation:

6 weeks:

4.5 x 6 = 27 kg

75 - 27 = 48 kg

12 weeks:

4.5 x 12 = 54 kg

75 - 54 = 21 kg

Hope this helps!

help me solve this pleaseeee

Answers

Answer:

f(n) = 6n + 12

Step-by-step explanation:

There is a common difference in consecutive number of seats, that is

42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 18 and d = 6 , then

f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12

Help a bab out with something, please?

Answers

Answer:

18

Step-by-step explanation:

B
5
6
100° 5
A
Ta
60°
4 120°
W
D
w = [? 1°

Answers

Answer:

I'm sorry but this is very wordy and hard for people to understand.

please reconsider fixing it and submitting it again for assistance.

solve kx-3=5 for x
a
b
c
or
d

Answers

Answer:

x = 8/k

Step-by-step explanation:

kx - 3 = 5

Add 3 to each side

kx -3+3= 5+3

kx = 8

Divide by k

kx/k = 8/k

x = 8/k

Answer:

x = 8 / k

Step-by-step explanation:

Let's solve for x.

kx − 3 = 5

Step 1: Add 3 to both sides.

kx −3 +3 = 5 + 3

kx = 8

Step 2: Divide both sides by k.

kx / k = 8k

x = 8 / k

A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge of
the park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular path
along the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show that
Danny runs about 970 metres less than his usual training session

Answers

Answer:

971 m to nearest metre

Step-by-step explanation:

training distance = 5*2*(260 + 480) m  

Diagonal distance = √(2602 + 4802) m

Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m

Difference between these:

 

5 × 2  × ( 260 + 480 ) - 5 ×( 260 + 480  + √ 260 ^ 2 + 480 ^ 2 )

   = 970 . 5311872087638744

 

difference = 971 m to nearest metre

Hope this answer helps you :)

Have a great day

Mark brainliest

(140-x)/(7)+70 = 120. Please answer correctly.

Answers

From question,
(140-x)/7+70=120
Or, (140-x)/7=120-70
Or,140-x=50X7
Or, -x=350-140
Or, -x=210
:• x = -210 answers

Analyze the diagram below and complete the instructions that follow.

Find the exact value of sin(O)

Answers

Answer:  C) 12/13

=====================================================

Explanation:

Use the pythagorean theorem

a^2+b^2 = c^2

to find that c = 13 when a = 12 and b = 5.

So that makes the hypotenuse MO = 13 units long.

The opposite side is MN = 12 units long as this side is furthest we can get from angle O.

The sine ratio involves opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(O) = MN/MO

sin(O) = 12/13

Answer:

C.    12/13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 =  c²

c = 13

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

sin = opp/hyp

sinO = 12/13

write an equation of the line in slope intercept form

Answers

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex] is the slope intercept

[tex]m[/tex] is the slope

[tex]b[/tex] is the y-intercept

The slope in the graph is 4/2 or 2 simplified. From point (-2,6), you have to go down 4 and right 2 to get to the point (0,2)

The y-intercept is 2 because the line crosses the y axis at exactly 2.

Hope this helps

Find WX. Assume that segments which appear to be tangent are tangent.

Answers

Answer:

Step-by-step explanation:

Tangent from the point outside the circle are equal

WX  = XY

7x - 29 = 2x + 16 {Add 29 to both sides}

7x  = 2x + 16 +29

7x = 2x + 45 {Subtract 2x from both sides}

7x - 2x = 45

5x = 45     {Divide both sides by 5}

x = 45/5

x = 9

WX = 7x - 29

       = 7*9 - 29

        = 63 - 29

WX = 34

What is the amplitude in the graph of y = 5sin(2x - 1) + 3?

Answers

Answer:

The amplitude is 5

Step-by-step explanation:

The function [tex]y=asin(bx-c)+d[/tex] has an amplitude of [tex]|a|[/tex]. Therefore the amplitude of the function [tex]y=5sin(2x-1)+3[/tex] is [tex]|a|=|5|=5[/tex].

Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the specific dust, how many grams would they have after 2 days?

Answers

Answer: [tex]1.663\times 10^{30}\ gm[/tex]

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

[tex]\Rightarrow P=21\cdot 2^{2t}[/tex]

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

[tex]\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm[/tex]

PLEASE PLEASE PLEASE SOMEONE HELP ME THIS IS DUE TODAY

EXPLAINING YOUR ANSWER = BRAINLIEST

What is m∠E?

Answers

Answer:

try 144

Step-by-step explanation:

m<E is basically just ot asking you to find the angle of E, i think :').

And since all angles equal to 180, 180-36=144

(hope ots right)

If the farm has 10,000 spinach plants, Describe a method that would produce a random sample and how many in your sample study?

Answers

Answer:

Take an even number of random samples from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100 spinach plants

Step-by-step explanation:

Given that the total number of spinach plants in the farm = 10,000

To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.

After determining these Take an even number of random sample from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100

Find surface area plzzzzz

Answers

The answer to your question is 184m

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Two lines are intersecting. What is the value of X? And to your answer in the box

Answers

X= 51 is the answer you need to remember that since they share a straight line you add the together to get 180 which is half a circle

Answer:

x = 51

Step-by-step explanation:

The two angles form a straight line

Angles that form a straight line add up to equal 180

Hence, 2x + 4 + x + 23 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

2x + 4 + x + 23 = 180

step 1 combine like terms

2x + x = 3x

4 + 23 = 27

we now have 180 = 27 + 3x

step 2 subtract 27 from each side

180 - 27 = 153

27 - 27 cancels out

we now have 153 = 3x

step 3 divide each side by 3

153 / 3 = 51

3x / 3 = x

we're left with x = 51

Any of you guys know this answer?

Answers

The answer would be 10

Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims that there are rotations about the center that will carry both a regular hexagon and a regular nonagon (9-sided polygon) onto itself. Determine whether each angle of rotation below can be used to support Nadia's claim. Select Yes or No for each angle of rotation

Answers

Answer:

[tex]\theta_1 \ n\ \theta_2 = 120, 240[/tex]

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

[tex]Nonagon = 9\ sides[/tex]

[tex]Hexagon = 6\ sides[/tex]

Divide 360 degrees by the number of sides in each angle, then find the multiples.

Nonagon

[tex]\theta = \frac{360}{9} =40[/tex]

List the multiples of 40

[tex]\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320[/tex]

Hexagon

[tex]\theta = \frac{360}{6} =60[/tex]

List the multiples of 60

[tex]\theta_2 = 60, 120, 180, 240, 300[/tex]

List out the common angles

[tex]\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320[/tex]

[tex]\theta_2 = 60, 120, 180, 240, 300[/tex]

[tex]\theta_1 \ n\ \theta_2 = 120, 240[/tex]

This means that, only a rotation of [tex]120, 240[/tex] will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

Https://imgur.com/a/n3PRcMY

Answers

1: Those angles are equal. That means 3x + 10 = 5x - 10.
20 = 2x.
That means x = 10

2. Easy now that u have x. Angle 1 is 3x + 10, which means its 3(10) + 10 which is 40

In the diagram, the measure of angle 3 is 105°.

A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.

Which angle must also measure 105°?
Angle1
Angle4
Angle6
Angle8

Answers

Answer:

angle 8

Step-by-step explanation:

not sure but if correct 1 heart pls and comment

Answer:           A is Correct

Step-by-step explanation:

angle 1 is opposite of angle 3 which means its also 105°

help......................​

Answers

Answer:

17.

[tex] 7 \times {10}^{ - 6} [/tex]

18. 8 sides (and 8 corners)

19. the chance is 50% or 0.5, and yes, both colors have the same chance.

20. on a coordinate grid make a point at x=1 and y=5. and then simply draw a line through that point.

Step-by-step explanation:

17. the defining digit is 7. and it is at the the 6th position after the decimal point. that is how you write this.

18. the more corners or sides a polygon has, the closer it gets to a circle. that means that the outside angles always add up to 360 degrees.

so, with the inside angles being 135 degrees, the outside angles are 180-135 = 45 degrees.

his many such outside angles can we add together until we reach 360 degrees ?

360/45 = 8 (just imagine : 2×45 = 90, and 90×4 = 360)

so, this polygon has 8 corners and therefore 8 sides.

19. 12 balls are in the bag. the chance for a single ball to be pulled is therefore 1/12.

but there are 6 red balls. we don't care which specific ball we pull, as long as it's red. so, we have 6/12 chances to achieve that.

and yes, for exactly the same reason, black balls have the same chance.

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