Find height of triangle given hypotenuse and angle

Answers

Answer 1
Given h is the height, H is the hypotenuse and A is the base angle,
then Sin(A) = h/H
so h = HSin(A)

Related Questions

For what values of x is the following inequality true? 5/7 + x/7 >(underlined) 10. PLZ HELP!!! 12 points

Answers

Hello! Thank you for your question! I will be most happy to help!

So here what we are going to do is solve for X.

Step 1: Simplify x/7

Equation at the end of step 1: 5/7 + x/7 - 10 > 0

Step 2: Simplify 5/7

Equation at the end of step 2:

5/7 + x/7 - 10 > 0

Step 3: Adding fractions which have a common denominator: 

3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + x / 7 = x + 5 / 7

Equation at the end of step 3:

(x + 5) / 7 - 10 > 0

Step 4: Rewriting the whole as an Equivalent Fraction:

4.1 Subtracting a whole from a fraction 

Rewrite the whole as a fraction using 7 as the denominator:

10 = 10 / 1 = 10 * 7 / 7

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole 

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions 

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x+5) - (10 * 7) / 7 = x - 65 / 7

Equation at the end of step 4:

x - 65 / 7 > 0

Step 5: 5.1 Multiply both sides by 7

Solve Basic Inequality: 

5.2 Add  65  to both sides

x > 65

Final answer: x > 65

1. Main Show Tank Calculation:

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number.

2. Holding Tank Calculations:

The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet?

3. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made ⅛ of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?

4. Using the information from #4, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.

Answers

1. a quarter is a fourth. the volume of a sphere = (4/3)πr³
So the volume of the tank would be = (1/4)(4/3)π(60)³
= (1/3)π(60)³
= 72,000π ft³
2. The holding tanks are half cylinders. Combined they make a whole cylinder. volume of a cylinder is area of circle times length.
volume tank 1&2 = (110)π(30)²
= 99,000π ft³
3. radius of main show tank goes from 60 real tank to 60/8 = 7.5 mock-up tank
= (1/3)π(7.5)³
= 140.625 ft³
4. 72,000/140.625 * 100 = 51,200%
essentially 8³ * 100
very high since you are looking at % real tank to model tank

A plane is defined by two lines. What's the counterexample

Answers

A plane that has more than one agent

What is another name for m1?

Answers

M01 or M-1 i think


uh...hope it helps

Certain hot water bottles hold up to 1500 milliliters of water. how many liters are in 1500 milliliters

Answers

1,500 milliliters is equal to 1.5 liters. In the metric system, a liter is the basic unit of volume for liquids. Like the rest of the metric system, the naming system uses prefixes derived from Latin and Greek roots that tell the user what fraction or multiplier the unit uses. In this example, "milia" is "thousand" in Latin. Thus, a "milli-liter" is a thousandth of a liter. Learning these prefixes makes the use of the metric system much easier.

in a 30-60-90 Blondie triangle the long leg is half the hypotenuse

A. always
B. sometimes
c never

Answers

Answer:

never

Step-by-step explanation:

In a 30 - 60 - 90 degree triangle , the common ratio is

1  : [tex]\sqrt{3}[/tex] : 2

Shorter leg that is opposite to 30 degree = 1

Longer leg that is opposite to 60 degree = [tex]\sqrt{3}[/tex]

Hypotenuse is opposite to 90 degree = 2

Shorter leg is half the length of the hypotenuse as per the ratio

Long leg is never the half of the hypotenuse

A recipe for guacamole uses 12% lime juice. if a batch contains 0.75 cup of kime juice, how large is the batch of guacamole

Answers

0.75/0.12=6.25

the batch is 6.25 cups

How many different three digit locker combinations are possible if the digits are able to repeat?
A.30
B.1000
C.300

Answers

the answer is b i think 

There are 1000 three digit locker combinations are possible if the digits are able to repeat.

The correct option is B.

If the digits are able to repeat, there are 10 options for each digit (0-9) in a three-digit combination.

Since each digit can be chosen independently, the total number of different three-digit combinations is given by:

Number of combinations

= Number of options for the first digit x Number of options for the second digit x Number of options for the third digit

Number of combinations = 10 x 10 x 10 = 1000

Learn more about Combination here:

https://brainly.com/question/13058214

#SPJ4

How do you Solve by factoring

Answers

(x+3)(x+3)=8
(x^2+3x+3x+9)=8
x^2+6x+9=8

Final answer:

To solve an equation by factoring, find the factors, set them equal to zero, and solve for the variable.

Explanation:

To solve an equation by factoring, you need to find the factors of the equation and set each factor equal to zero. Then, solve each equation separately to find the values of the unknown variable. Let's take an example:

If we have the equation [tex]x^2 - 5x + 6 = 0[/tex]:

Factor the quadratic expression: (x - 2)(x - 3) = 0Set each factor equal to zero and solve: x - 2 = 0 and x - 3 = 0solve each equation separately to find the values of x: x = 2 and x = 3

This method of factoring and setting each factor equal to zero is a systematic approach to solving quadratic equations, providing a structured way to identify the solutions for the unknown variable. The application of this technique is fundamental in algebra, enabling the efficient determination of roots in quadratic expressions and contributing to a comprehensive understanding of solving equations.

For her phone service, Lucy pays a monthly fee of $18, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $81.20What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes and solve your inequality for m.

Answers

m = 4.

The reason why is because you first have to add 0.05 and 18 together, and than multiply it by the closes number to 81.20 which is 4, and also it cannot be over 81.20.

IM USING UP SO MANY POINTS CAUSE PEOPLE WONT ANSWER PLZ HELP-A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.

How much will the business pay in the sixth month?

Answers

He pays $125 during the sixth month.

multiply (2.1 x 10^3) x (3.5 x 10^2)


A. 7.35 x 10^5
B. 3.6 10^1
C. 6.9 x 10^3
D. 2.83 x 10^2

Answers

The answer is A. 7.35 x 10^5
You multiply 2.1 by 3.5 and you add the exponents which are 3 and 2.

Hope this helps!

Jerry has 64 cupcakes. Jane has 5 more cupcakes. How many cupcakes does Jane and Jerry have together?

Answers

64 + 5 = 69
69 + 64 = 133 cupcakes

What is the product of (–22.1)(–5.6)?

A)–123.76
B)–27.7
C)27.7
D)123.76

Answers

the answeryour lookig for is D

One day, a person went to a horse racing area. instead of counting the number of humans and horses, he counted 72 heads and 192 legs. how many humans and horses were there?

Answers

h-human a-horse
h+a= 72
2h+4a=192

then do h=72-a
substitute that into the second equation
2(72-a)+4a=192

multiple out
144-2a+4a=192
2a=48
a=24
substitute a into the first equation
h+24=72
h=48
humans- 48
horses- 24

What is the answer to H(x)=8x-10

Answers

You can't solve that, it is already simplified and unless an x is given you cannot do anything to that problem

Which shape has the same volume as the given rectangular prism?





Thank you!

Answers

The correct option is (a) i.e. cylinder.

This is because:
Volume of a Rectangular Prism = (Area of base * Height)
= 50 *5 = 250 cm^3

And volume of cylinder = πr^2h = 50*5 = 250cm^3

Thus, the cylinder has the same volume as the rectangular prism

Answer:

The correct option is (A) i.e. cylinder.

Step-by-step explanation:NET BANGERZ

John's gas tank is 16 full. after he buys 5 gallons of gas, it is 12 full. how many gallons can john's tank hold?

Answers

25 gallons is the correct answer for this on rite here boiii

What is the 4 digit number in which the first digit is one-fifth of the last, and the second and third digits are the last digit multiplied by 3?

Answers

The last digit is 5, multiplied by 3 is 15, so 15 goes in the middle, so the number is 1155 The sum of the digits is 12 That checks: 1+1+5+5=12.

State how many imaginary and real zeros the function has. f(x) = x3 + 5x2 - 28x - 32

Answers

All equation has always even numbers of imaginary roots because they always come in pairs. Therefore there must be either 2 imaginary roots, or zero. 

To determine the types of roots, we could try synthetic division by some of the factors of the number -32. The simplest factors are +1 or -1. Using this, we can quickly show that (x + 1) is a factor, and leaving (x² + 4x - 32) as the remainder. This remainder equation then factorises to (x - 4) (x + 8). 

So to conclude there are three real zeros which are:

 

x = -1

x = 4

x = -8

What is the solution to the inequality? 5t≤−15

Answers

The solution of the inequality is t<-3. Because -15 divided by 5t is equal to -3
t equals -3 because 5 times -3 would be equal to -15

round 2.125 to the nearest hundreth.

Answers

the answer would be 2.125 because it's already rounded to the nearest hundredth

The sum of two numbers is 41 and the difference is 19 . what are the numbers?

Answers

The two numbers are 30 and 11.

A company has found that its supply function is equal to the square of the price of their product, all divided by three. The market for its products is also related to price. demand is a basic 920 units minus thirty times price, minus a quarter of the square of the price. What is the ideal price of their product, to make sure that there is neither a surplus nor a shortage? How many units will they sell at this price?

Answers

Given that the supply function for the company is equal to the square of the price of their product, all divided by three,

i.e. [tex]Q_s=\frac{p^2}{3}[/tex]

and the demand is a basic 920 units minus thirty times price, minus a quarter of the square of the price,

i.e. [tex]Q_d=920-30p- \frac{1}{4} p^2[/tex]

The ideal price of their product, to make sure that there is neither a surplus nor a shortage is the equilibrium price which is the price when supply equals demand.

i.e.
[tex]Q_s=Q_d \\ \\ \Rightarrow\frac{p^2}{3}=920-30p- \frac{1}{4} p^2 \\ \\ \Rightarrow \frac{7}{12} p^2+30p-920=0 \\ \\ \Rightarrow p= \frac{-30\pm\sqrt{30^2-4(\frac{7}{12})(-920)}}{2(\frac{7}{12})} \\ \\ =\frac{-30\pm\sqrt{900+\frac{6440}{3}}}{\frac{7}{6}}=\frac{-30\pm\sqrt{\frac{9140}{3}}}{1.1667} \\ \\ =\frac{-30\pm55.1966}{1.1667}= \frac{25.1966}{1.1667} =21.60[/tex]

Therefore, the ideal price of their product, to make sure that there is neither a surplus nor a shortage is $21.60

The number of units they will sell at this price is given by

[tex]Q= \frac{(21.60)^2}{3} \\ \\ = \frac{466.43}{3} \approx155\ units[/tex]

What is the solution to 2h+8>3h-6

Answers

2h  +8   >3h  -6
-2h  +6  -2h +6
6>h
The answer is h > 14.

Write in slope-intercept form of the equation of the line through the given point. Through: (-3,-3) and (4,0)

Answers

You have to use the y2-y1 over x2-x1.
So, let's plug the numbers in.
(-3,-3)
^ ^
X1 Y1
(4,0)
^ ^
X2 Y2
So, that would be
0-(-3)
——
4-(-3)
The two subtraction signs counteract and become a positive, or addition symbol. So it would be
0+3
——
4+ 3
Do the addition to get 3 over 7 or
3

7

Answer:

y = 3/7 x - 12/7

Step-by-step explanation:

The slope is (0+3)/(4+3) = 3/7

So, now you have a point and a slope, so use the point-slope form. That gives you

y-0 = 3/7 (x-4)

Now just rearrange to slope-intercept form.

y = 3/7 x - 12/7

order the bussiness owners up from youngest to oldest... Mark: 23 3/8 Steve: 23.45 Jeff: 23 1/4

Answers

jeff,
mark, then
steve...
Jeff is the youngest. Mark is in the middle. Steve is the oldest.

What does the y intercept mean

Answers

She paid $30 for the table.
The y intercept  is 30, but it means where the line would pass over the y axis

Which exponential function goes through the points (1, 8) and (4, 512)?
f(x) = 4(2)^x

f(x) = 8(2)^-x

f(x) = 4(4)^-x

f(x) = 2(4)^x

Answers

Answer:

Therefore, the correct option is: (C.) [tex]\( f(x) = 2 \cdot 4^x \)[/tex]

Explanation:

To determine the exponential function that passes through the given points, we can use the general form of an exponential function:

[tex]\[ f(x) = a \cdot b^x \][/tex]

Where:

[tex]\( a \)[/tex] is the initial value or the value of the function when [tex]\( x = 0 \).[/tex]

[tex]\( b \)[/tex] is the base of the exponential function.

Given the points [tex]\((1, 8)\) and \((4, 512)\)[/tex], we can substitute these coordinates into the general form and solve for [tex]\( a \) and \( b \).[/tex]

Using the point [tex]\((1, 8)\):[/tex]

[tex]\[ 8 = a \cdot b^1 \][/tex]

[tex]\[ 8 = a \cdot b \][/tex]

Using the point [tex]\((4, 512)\):[/tex]

[tex]\[ 512 = a \cdot b^4 \][/tex]

We can divide the equation obtained from the second point by the equation obtained from the first point to eliminate [tex]\( a \)[/tex] and solve for [tex]\( b \):[/tex]

[tex]\[ \frac{512}{8} = \frac{a \cdot b^4}{a \cdot b} \][/tex]

[tex]\[ 64 = b^3 \][/tex]

Taking the cube root of both sides:

[tex]\[ b = 4 \][/tex]

Now that we have found the value of [tex]\( b \)[/tex], we can substitute it back into one of the equations to find \( a \). Let's use the first point [tex]\((1, 8)\):[/tex]

[tex]\[ 8 = a \cdot 4 \][/tex]

[tex]\[ a = 2 \][/tex]

So, the exponential function that passes through the points [tex]\((1, 8)\) and \((4, 512)\)[/tex] is:

[tex]\[ f(x) = 2 \cdot 4^x \][/tex]

if 16 + 4x is 10 more than 14, what is the value of 8x?

Answers

16 + 4x = 10 + 14
16 + 4x = 24
4x = 24 - 16
4x = 8
x = 8/4
x = 2

so now you plug in what x is, which is 2, into "8x"

8x = 8 × 2
8x = 16

so your answer is 16!

hope this helps, God bless!
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