a model rocket launches into the sky. An observer on the ground measures the angle of elevation to the rocket at its peak height to be 67 degrees. How high did the rocket get if the observer was 100' away from the launchpad?

Answers

Answer 1

Use a right triangle and trigonometry.
The angle is 67 deg.
The adjacent leg is the 100 ft side of the triangle along the ground.
The opposite leg is the unknown height, h.

tan x = opp/adj

tan 67 = h/100

h = 100 * tan 67

h = 100 * 2.36

h = 236

Answer: 236 ft

Related Questions

Look at the following expression.

5(3x + 2)

Which of the answer choices below is NOT an equivalent expression?

A.15x + 10
B.10x + 15
C.5 ∙ 3x + 5 ∙ 2
D.5(2 + 3x)

Answers

C is not equivalent to all the expressions

It is a week before the maths festival. A maths exhibitor costs £75.40 and so far 12 have been bought.

Answers

£904.80 have been bought.

The equation ax=0 has only the solution x=0 because

Answers

because anything multiplied by 0 is 0

Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?

Answers

5:2 no pets to pet

Hope this helps

60 - 24 = 36

the ratio of students with pets to without pets is 24:36

or simplified: 2:3

hope this helps

7x=2x-35

A. 7

B.5

C.-5

D.-7

Answers

Find x you mean?
substract both side by 2x
5x=-35
divide both side by 5
x=-7
->D

Mayumi is constructing a line through point P that is perpendicular to RS←→. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc?

A. It must be equal to PS .

B. It must be greater than 12RS.

C. It must be wide enough so that the arc intersects RS←→ in two points.

D. It must be equal to PR .

Answers

Answer:

Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.

Dimitri deposited 60% of his paycheck into a savings account be deposited $41.67 what was the total of his check

Answers

The amount of his paycheck is $69.45.

1.17 - 0.07a + (-3.92a)

Answers

1.17-0.07a+(-3.92a)
Combine Like Terms:
1.17+(-0.07a)+(-3.92a)
(-0.07a+ -3.92a) +1.17
-3.99a + 1.17
Answer: -3.99a + 1.17

I hope this helps!

Answer:

The simplified form of the given expression is [tex]1.17-3.99a[/tex].

Step-by-step explanation:

The given expression is

[tex]1.17-0.07a+(-3.92a)[/tex]

The given expression can be written as

[tex]1.17-0.07a-3.92a[/tex]

Now, combine the like terms.

[tex]1.17+(-0.07a-3.92a)[/tex]

[tex]1.17+(-3.99a)[/tex]

[tex]1.17-3.99a[/tex]

Therefore the simplified form of the given expression is [tex]1.17-3.99a[/tex].

Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premium for a 10 year policy?

Answers

The answer is b $1,202

The premium of $200,00 term life insurance policy is $1,202

What is Annual premium?

Annualized premium is the total amount paid in a year's time to keep the life insurance policy in force. The annualized premium amount of a life insurance policy does not include taxes and rider premiums.

Given, Jade wants to buy a $200,000 term life insurance policy. She is 34 years old.

Jade wants to buy a $200,000 term life insurance policy. She is 34 years old.

Since, Jade is female.

Using table for 10-year policy: We will see the column of female.

Annual premium of life insurance per $1000 for 10-years policy term of 34-years old female = $6.01

For $1000 life insurance premium = $6.01

For $1 life insurance premium = $0.00601

For $20000 life insurance premium = 200000 x 0.00601

For $20000 life insurance premium = $ 1,202

Therefore, The premium of $200,00 term life insurance policy is $1,202

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Describe the cross section

Answers

Answer:

D. Square

Step-by-step explanation:

A cross section is the shape that we get when we cut the object.

Here the given object is a cube.

It is cut straight through the middle.

Imagine a cube cut through the middle, when we look at the same on the top, we get square.

Since in a cube all the sides are equal.

Therefore, we get square when we cut the cube straight through the middle.

Answer: D. Square.

The cross-section of the shape in the image is a square.

Here's why:

The shape in the image is a cube.

A cube has six square faces.

When you cut a cube through the middle along any of its axes, the resulting cross-section will always be a square.

Therefore, the answer is D. square.

the set of ____ contains all the whole numbers amd their opposite

Answers

Hey there!

The set of integers contains all the whole numbers and their opposite!

Hope this helps! :)

The set of integers contains all the whole numbers and their opposite

Hope this helps! :)

Elliott purchased shares of Microsoft in 2008 for $28 per share. He plans to sell them as soon as the price rises 20%. At what price will he sell his shares?

Answers

Since we are to find the price when it is risen 20%, therefore the fractional increase must be 0.20 of the original, therefore:

amount increased = $28 * 0.20 = $5.60

So the selling price must be:

selling price = $28 + $5.60 = $33.60

Final answer:

Elliott will sell his Microsoft shares at a price of $33.60 each after a 20% price increase from his initial purchase price of $28 per share.

Explanation:

The question concerns the calculation of a future selling price of shares after a certain percentage increase. To find the selling price after a 20% increase on Elliott's initial purchase price of $28 per share, we first calculate the 20% increase, which is 0.20 × $28 = $5.60. Next, we add this increase to the original purchase price to determine the selling price: $28 + $5.60 = $33.60 per share. Therefore, Elliott plans to sell his shares when their price reaches $33.60 each.

What is the value of x in the equation 2x + 3y = 36, when y = 6

Answers

2x+3y=36

y=6

2x +3(6) = 36

2x +18 =36

2x = 18

x = 9

Answer:

The value of the provide expression is 9.

Step-by-step explanation:

Consider the provided expression.

[tex]2x + 3y = 36 [/tex]

We need to find the value of the expression, for x when y=6

Substitute the respective values in the provided expression.

[tex]2x + 3(6) = 36 [/tex]

[tex]2x + 18 = 36 [/tex]

[tex]2x= 36-18 [/tex]

[tex]2x= 18 [/tex]

[tex]x= 9 [/tex]

Hence, the value of the provide expression is 9.

using radicals, write an expression for the expression y 1/2

Answers

[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ y^{\frac{1}{2}}\implies \sqrt[2]{y^1}\implies \sqrt{y}[/tex]

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Answers

Ok so a jar can hold three-fourths of pounds of flour right, so that's the max it can hold, now Austin empties 1/2 of the pound into the flour, since he only emptied that much that's how much he filled the jar with so your answer would be 1/2 or one-half since that's all he filled it with.

Answer: 1/2 or one-half

Step-by-step explanation:

Compute the requested average. Tim Worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. $200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150 In dollars and cents the average pay will be?

Answers

Ok, all you have to do is add all the money together then divide it by how many numbers there are which is 12.

200 + 150 + 250 + 260 + 285 + 380 + 200 + 225 + 200 + 250 + 220 + 150 = 2770

2770 divided by 12 =230.83 is the average

PLEASE HELP I NEED TO GET THIS CORRECT.

Answers

1. A 2.B 3.D 4.C 5.D I cant see the full last one I feel confident about 90% correct I'm just not 100% because its hard to read some

For number 1 the correct answer is B: x^4

The correct answer for number 2 is B: b - 8

Correct answer for number 3 is C: The quotation of three and some number times five

For number 4 the correct answer is C: 10x + 5

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. What is the residual value when x = 4?

Answers

The correct answer would be C.0.58

You plug 4 into the line of best fit and get 6.72. This is your predicted value, but the residual is the difference between the actual value and predicted. So you subtract: 7.3-6.72=0.58.

Solution:

The line of best fit is given as y=2.78x-4.4

We need to find the residual value when x=4.

The residual value is an estimate of the wholesale value .To find the residual value we plug in x=4 in the given line of best fit.The corresponding y value will give the predicted value.

y=2.78x-4.4

Substituting x=4,

y=2.78(4)-4.4

y=11.12-4

y=7.12.

The predicted value when x=4 is y=7.12.

Residual value = predicted value - Actual value -=7.12 - actual value.

What are the solutions to the inequality? Graph the solutions. x/5 greater than or equal to -2

Answers

x/5 > -2

">" is the greater than sign, and ">" means it is greater than or equal to since it is underlined. All you have to do now is put the inequality into slope-intercept form (y = mx + b) and plot the line on a graph.

In this inequality, -2 is y and x/5 is x. Just rearrange the terms while still keeping the answer the same.

x/5 > -2
-2 < x/5 Notice that the sign changed to "less than or equal to." This is because x/5 is still greater than or equal to -2, which makes -2 less than or equal to x/5.

Since it is "or equal to," we can discover what x could be by multiplying -2 by 5, which is -10. So the non-dotted line goes over the point -10 on the x-axis, straightly vertical without a slope, and everything that is greater than -10 is shaded, which is everything on the right side of the line. It should look like the attachment below.

A site titled "www.desmos.com/calculator" might help you in the future. I hope my explanation made sense!

ABCD is a kite, find the length of BD

Answers:

A. 8
B. 16
C. 12
D. 24

Answers

I think the answer is 16 but I’m not entirely sure

Graph f(x)=34x+2. Use the line tool and select two points to graph the line.

Answers

we have

[tex]f(x)=\frac{3}{4}x+2[/tex]

To graph the linear equation find the intercepts

we know that

The x-intercept is the value of x when the value of the function is equal to zero

The y-intercept is the value of the function when the value of x is equal to zero

Find the y-intercept

for [tex]x=0[/tex]

[tex]f(x)=\frac{3}{4}*0+2=2[/tex]

the y-intercept is the point [tex](0,2)[/tex]

Find the x-intercept

for [tex]f(x)=0[/tex]

[tex]0=\frac{3}{4}x+2[/tex]

Multiply by [tex]4[/tex] both sides

[tex]0=3x+8[/tex]

[tex]x=-\frac{8}{3}=-2.667[/tex]

the x-intercept is the point [tex](-2.667,0)[/tex]

Plot the intercepts to graph the line

The answer in the attached figure

Answer:

the answer is (-2,0) and (0, 2)

Good luck!

Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sarah correct? Explain your thinking using negative powers of 10 and the number line

Answers

Sarah would be incorrect, because the more numbers after the decimal, the smaller the number would be, because it is further away from the number one.

The number 0.001 is greater than the number 0.00001. She is incorrect.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. She is incorrect.

0.001 > 0.00001

Because the number 0.001 is greater than the number 0.00001.

More about the Algebra link is given below.

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Which expression is equivalent to square root of 9x^2?

Answers

Let's take the square root of this

√(9x^2)

To make this easier, let's use the following property of roots.

√(ab) = √(a) * √(b)

Let's separate the square root into two different square roots.

√(9x^2)
= √(9) * √(x^2)

Now, let's solve for each square root individually.

√(9) = 3
√(x^2) = x

Now, combine them

3 * x = 3x

3x is your answer.

Have an awesome day! :)

9x^2 can be rewritten as 9*x*x or 3*3*x*x
You can think of 3*3*x*x as 3x*3x which is (3x)^2.

Now we can take the square root of (3x)^2 (which equals 9x^2).

√(3x)^2
The √ and the ^2 cancel out so you are left with 3x.

So, √9x^2 = √(3x)^2 = 3x.

3x is your answer!

A checkers board is 8 squares long and 8 squares wide. The area of each square is 14 square centimeters. Estimate the perimeter of the checkers board to the nearest tenth of a centimeter.

Answers

Area of each square = 14 sq. cm.
length of each square = sqrt(14) = 3.7 cm

length of one side = 8 x 3.7 = 29.6 cm

Perimeter of the checker board = 4 x 29.6 = 118.4 cm

The perimeter of the checker board 118.4 cm

Area of each square = 14 sq. cm.

What is the length?

The square root of area is the length of one side

[tex]length of each square =\sqrt{14} = 3.7 cm[/tex]

[tex]length of one side = 8 * 3.7 = 29.6 cm[/tex]

What is the formula for perimeter of square?

Perimeter (P) =4 (length of side a)

[tex]P=4a[/tex]

[tex]Perimeter of the checker board = 4 *29.6 = 118.4 cm[/tex]

Therefor we get the perimeter of the checker board 118.4 cm

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Write the fraction 29 over 7 as a repeating decimal

Answers

4.1428571428571428571428571428571 it keeps repeating on and on after the point of the decimal.

Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that apply.
A) 2y = 1.5x - 2
B) 2y = 1.5x - 1
C) 3x + 4y = 2
D) -4y + 3x = -2

Answers

Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,

y = mx + b

where m is slope and b is the y-intercept.

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2

C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2

D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2

Hence, the answers to this item are A and D.

Answer: D,B,B,C,D,A,C,B,D, (A-D)

ALL TEST ANSWERS

Step-by-step explanation:

In triangle ΔABC, ∠C is a right angle and CD is the height to AB, Find the angles in ΔCBD and ΔCAD if: m∠A = α

m∠DBC =
m∠DCB =
m∠CDB =
m∠ACD =
m∠ADC =

Answers

Refer to the figure shown below.

Given:
m∠C = 90°, because ∠C is a right angle.
m∠D = 90°, because CD is the height to AB.
m∠A = α

Because the sum of angles in a triangle is 180°, therefore
m∠DBC + 90° + α = 180°
m∠DBC = 90° - α

Again, for the same reason,
m∠DCB + m∠DBC + 90° = 180°
m∠DCB + 90° - α + 90° = 180°
m∠DCB = α

For the same reason,
m∠ACD + 90° + α = 180°
m∠ACD = 90° - α

m∠ADC = 90° (by definition)
m∠CDB = 90° (by definition)

Answer:
m∠DBC = 90° - α
m∠DCB = α
m∠CDB = 90°
m∠ACD = 90° - α
m∠ADC = 90°

The number of CDs sold has decreased each year. The graph shows the number of CDs sold in a given year. (coordinate graph) Which is a reasonable inference for the number of CDs at month 4?

Answers

From the graph shown, a reasonable inference for the number of CDs at month 4 is 1,000

Geometry help please?

4 questions.

Thanks!

Answers

Question 1:

Statement Reasons
m∠ABD + m∠DBC = m∠ABC Angle addition postulate
60° + 40° = m∠ABC Substitution Property of equality
100° = m∠ABC Simplpifying
∠ABC is an obtuse angle Definition of obtuse angle

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

Question 2:

Statement Reasons
AC = BD Given
AC = BC + BD Segment addition postulate
AB + BC = BC + CD Addition property of equality

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

Question 3:

Angle congruence postulate

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

Question 4:

Segment congruence postulate

Converting fractions to decimals worksheet 7th grade

Answers

No one can help you if you dont show us the work my dude. But the was to convert them is say you have 1/4 that is 25% of a whole. Sorry i couldnt help more repost the question with a link and people can help then.

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