(h + 1) cm 6 cm A Write and solve an equation to find the value of h Include all of your work in your answer. B. In two or more complete sentences, verify your answer using mental math. 2​

(h + 1) Cm 6 Cm A Write And Solve An Equation To Find The Value Of H Include All Of Your Work In Your

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

we are given opposite and adjacent if the given right angle triangle

we want to make an equation with the given information

Part-1:

notice that adjacent is greater than opposite so we can only take 30° as our angle

hence,

using trigonometric property

our equation is

[tex] \displaystyle \: \tan( {30}^{ \circ} ) = \frac{h + 1}{6} [/tex]

we took tangent function because we know that tangent function is the ratio of opposite and adjacent

now let's solve the equation

recall unit circle:

[tex] \displaystyle \: \frac{ \sqrt[]{3} }{3} = \frac{h + 1}{6} [/tex]

cross multiplication:

[tex]3(h + 1) = 6 \sqrt{3} [/tex]

divide both sides by 3:

[tex]h + 1 = 2 \sqrt{3} [/tex]

cancel 1 from both sides:

[tex] \therefore \: h = 2 \sqrt{3} - 1[/tex]

Part-2:

by using mental math

The angle of elevation at the top of a tower at a point on the ground is 30° at a distance of 6 metre from the foot and the height of the tower is h+1. find h

now this question verifies the equation

because we are given a right angle triangle where the opposite is less than the adjacent so we took 30° as our angle

by solving the equation we'll again get our answer


Related Questions

Write an equation of the line perpendicular to the given line that contains P.

Answers

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

How do the number of faces, vertices, and edges of a cube compare to the number of faces, vertices, and edges of a tetrahedron? A cube has more faces than a tetrahedron. A cube has more vertices than a tetrahedron. A cube has more edges than a tetrahedron.

Answers

Answer:

it is 2, 4 and 6

Step-by-step explanation:

The current in a stream moves at a speed of 5 km/h. A boat travels 20 km upstream and 20 km downstream in a total of 3 hours. Find the speed of the boat in still water. ​

Answers

Answer:

14

Step-by-step explanation:

im right

Evaluate x-2 for x=-3

Answers

-3-2= -5

Put in -3 in x

Answer:

-5

Step-by-step explanation:

Rewrite x - 2 as -3 - 2, which comes out to -5.

Determine the measure of arc BC​

Answers

Answer:

arc BC = 132°

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc BC = ∠ BOC = 132°

1. An exponential function is shown below.
f (x)= -2(2)
Which key attribute does the function not exhibit?

Answers

Sorry I need points lol

This question seems extremely odd to me. I don't really even understand what's being asked.

As far as exponential functions go, it's missing an exponent for one. The dependent variable is missing. This essentially saying f(x) = -4 or y = -4. Which is fine, but is definitely not an exponential function and in a very odd and incomplete form to begin with.

if you made 180$ every week, how much would you have in a year, it's a simple one and it's not for school I make 40 dollars a day with my dad at work ​

Answers

Answer:

About $9360

Step-by-step explanation:

There's about 52 weeks in one year, so if you multiply 52 by your weekly gain, your annual income will be approximately $9360.

I hope this is helpful ^^

Find the sum 1/2+1/4

Answers

Answer:

3/4

Step-by-step explanation:

Make a common denominator and multiply the many times the denominator had to get to the common denominator to the numerator.

Choose the best term from the box.
The ?
of an object is how heavy the object is.
?
weight
length
capacity
15

Answers

it would be the weight!! hope this helps

Question is in picture

Answers

200 :)
Because I’m guessing that the house is 90m and the store is 110m so add that and it’s 200
Hope this helps

Therese filled a rectangular pool with water. The pool measured 2 1/4 yards long, 2 yards wide and 1 2/3 yards tall. If the pool was filled to the top, how many cubic yards of water did Therese use?

Answers

Answer: 7 1/2 cubic yards

Step-by-step explanation: sorry if this is wrong lol

8 ft
Find the area of the figure.

Answers

Answer:

Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.

Find x.
30
20
Need help with this question asap

Answers

Cos=adjacent/hypotenuse
Cos30=x/20
x=cos30 *20

Sorry I don’t have a calculator right now

Answer:

x = 10[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{3}[/tex]

The table shows the transactions for one week for Tasha and Jamal Who was the greater account balance at the end of the week How Much greater?

______ has the greater balance at the end of the week. This balance is $_______ greater than the other balance

Answers

Answer:

Tasha has the greater balance at the end of the week.This balance is $381

The account balance is the remaining amount after the deduction of withdrawals from the deposits.

Tasha has the greater balance at the end of the week. This balance is $1 greater than the other balance.

What is account balance?

It is the remaining amount after the deduction of withdrawals from the deposits.

We have,

Tasha:

Initial deposits = $250

Withdrawals = $20

Deposits = $65

Debit card purchases = $46

Balance = $250 - $20 + $65 - $46 = $249

Jamal:

Initial deposits = $200

Withdrawals = $60

Deposits = $135

Debit card purchases = $27

Balance = $200 - $60 + $135 - $27 = $248

We see that Tasha has a greater balance than Jamal and Tasha's balance is greater than Jamal's by $1.

Thus,

Tasha has the greater balance at the end of the week. This balance is $1 greater than the other balance.

Learn more about account balances here:

https://brainly.com/question/28699225

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Ken jumps 1 1/5 metres steve jumps 1.5 metres steve jumps further than ken how much further does steve jump than Ken?

Answers

Answer:0.3 m

Step-by-step explanation:

Given

Ken can Jump [tex]1\ \frac{1}{5}\ m[/tex]

Steve can Jump [tex]1.5\ m[/tex]

Converting mixed fraction into a fraction

[tex]\Rightarrow 1\ \dfrac{1}{5}=\dfrac{1\times 5+1}{5}\\\\\Rightarrow \dfrac{6}{5}\ m=1.2\ m[/tex]

The difference between their Jumps is

[tex]\Rightarrow 1.5-1.2=0.3\ m[/tex]

Steve Jumps 0.3 m more than ken

-0.5f - 5 < -1

help please asap!! ​

Answers

Step-by-step explanation:

-.5f -5 < -1

-.5f < 4

f > -8

hope this helps

You take out a loan for $478 at an interest rate of 8% compounded annually. What is the
total amount that you will have paid at the end of 4 years?

Answers

Answer:

650.3

Step-by-step explanation:

Answer:

the total payment will be 91.43 and the total interest pay will be 13.43.

Step-by-step explanation:

Tbh I dont get what you mean that much, but I think you mean 48 months of payment times the monthly payment, soooo.

13.43x 48= 644.64

644.64 after four years. I really really hope this helps you. Have a good day

18,8. Assuming the tree shown below is perpendicular to the base distance, use trigonometry
to calculate its height to 1 decimal place. Dimensions are in feet.
I
32°
150

Answers

Answer:

x = 93.7ft or x = 94ft

Step-by-step explanation:

Hope that helps :)

Determine if the relation below represents a function. Explain your reasoning

Answers

Given:

The graph of a relations.

To find:

Whether the relation is a function or not.

Solution:

A relation is a function if there exist unique outputs for each input. If a graph passes the vertical line test then is a function.

Vertical line test: Each vertical line intersect the curve at most one.

In the given figure draw a vertical at [tex]x=1[/tex] as shown in the below figure.

From the below graph, it is clear that the vertical line intersects the curve at two points. So, it does not pass the vertical line test.

Therefore, the given relation is not a function.

Expert plsss help me and explain how to do this plsss

Answers

Formula for a cone's volume: V=1/3hπr²

So...

1) V = 1/3*10*π*5^2

(We got the 5 from the diameter and divided it by 2 to get the radius).

Answer: I got 261.799 m^3.

What do you know about a triangle with an adjacent leg to hypotenuse ratio value of 0.839?

Answers

Step-by-step explanation:

Use soh cah toa to solve

it is cos(α)=.839

so the angle of α is 32.9653

Hope that helps :)

Trigonometric identity is cosine. And a is 32.965327740597°.

What are the trigonometric identities?

Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

Given:

A triangle with an adjacent leg to hypotenuse ratio value of 0.839.

Assume the triangle is a right-angled triangle.

In the right-angled triangle,

the ratio of adjacent leg to hypotenuse is cosine.

So,

Cos(a) = Adjacent leg/Hypotenuse

Cos(a) = 0.839

a = Cos⁻¹(0.839)

a = 32.965327740597°

Therefore, angle measure of a is 32.965327740597°.

To learn more about the trigonometric identities;

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Define: stratified random sample a) population is divided into similar groups and a SRS is chosen from each group. b) gives each member of the population a known chance to be selected. c) people who choose themselves for a sample by responding to a general appeal. d) the explanatory variable(s) in an experiment. e) directly holding extraneous factors constant. f) every possible sample of a given size has the same chance to be selected. g) using extraneous factors to create similar groups. h) successively smaller groups are selected within the population in stages. i) choosing the individuals easiest to reach.

Answers

Answer:

d) population is divided into similar groups and a SRS is chosen from each group.

Step-by-step explanation:

Stratified random sampling

can be regarded as "proportional random sampling" and is method of sampling which entails division of a population to more simpler sub- groups, this sub- groups are regarded as " strata". This strata are been formed on the basis of shared attributes of the members. This attribute could be educational attainment as well as income. It should be noted that stratified random sample is population is divided into similar groups and a SRS is chosen from each group.

mary says the pen for her horse is an acute right triangle. Is this possible?

Answers

we know that
An acute triangle is a triangle with all three angles acute (less than 90 degree ).

An obtuse triangle is one with one obtuse angle (greater than 90 degree) and two acute angles.

A right triangle is one with one right angle (angle equal to 90 degree ) and two acute angles.

therefore

The answer is

Is not possible

What number is equal to (1/6)^4?

Answers

Answer:

1/5

Step-by-step explanation:

i searched it up yikessssssss

The value of the given term is 1296.

What is a fraction?

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given the number as [tex]\dfrac{1}{6} ^{-4}[/tex]

Here we can see that the power is negative so we can just reciprocal the term.

Then we get;

6^4

this means 6 x6x6x6 = 1296

The correct value is 1296.

Learn more about fraction;

https://brainly.com/question/729654

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Father's age is five times than the son's age. If the sum
of their ages is 60 years, find their present ages. ​

Answers

Answer:

The son is 10, and the father is 50.

Step-by-step explanation:

10 times 5 would be 50, and 50+10 is 60.

Answer:

Father: 50

Son: 10

Step-by-step explanation:

Son's age: S

Father's age: F

F=5S

F+S=60.

Substitute.

5S+S=60

6S=60

S=10

F=50. As a check, 10+50=60 and 50/5=10.

Hope this was helpful.

~cloud

Hello!
What's Eri's teddys name?

Answers

Answer:

Werid I don’t know

Step-by-step explanation:

PLEASE HELP I DON'T UNDERSTAND!!!!!! I WILL MARK!!!!!!!!!!!!!!

Answers

1.4, im not sure though i just divided the two numbers sorry! hope it helps <3

Plzzzz help with the square ( parallelograms)

Answers

Answer:

#1=8

#2=3

Step-by-step explanation:

For 1-4, a line has the points (-2,-9),
(3, 1), and (6, 7). Find the polnts for the
translation described.
1. 6 units to the left
2. 3 units down
3. 5 units to the right
4 2 units up

Answers

Answer:

3 units down

Step-by-step explanation:

got it right on edg

Plz help no links I will give brainiest to whoever helps

Answers

Answer:

110.92

Step-by-step explanation:

Assuming that the parameters (P), (h), and (B) all represent dimensions of the given prism, then based on the given information, the following can be concluded:

P = 6.6

h = 4.5

B = 2.2

The surface area is the two-dimensional area around a three-dimensional surface. In other words, if one was going to wrap the figure, the surface area is the amount of paper one would need. One can find the surface area by finding the area of each individual side and then adding all the results together. To find the area of a 2-dimensional figure by multiplying the length by the width.

(4.5) * (6.8) = 30.6

(4.5) * (6.8) = 30.6

(2.2) * (6.8) = 14.96

(2.2) * (6.8) = 14.96

(4.5) * (2.2) = 9.9

(4.5) * (2.2) = 9.9

Now add up all of the values,

30.6 + 30.6 + 14.96 + 14.96 + 9.9 + 9.9

= 110.92

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