In a 30-60-90 triangle the long leg is half the hypotenuse.

Answers

Answer 1
And because we know that we cut the base of the equilateral triangle in half, we can see that the side opposite the 30° angle (the shortest side) of each of our 30-60-90 triangles is exactly half the length of the hypotenuse.

Related Questions

HELP ASAPPP PLEASE AND THANK YOU

Answers

Answer:

x < - 25

Step-by-step explanation:

| x + 3 | > 22

Case 1 : x + 3 > 22 [WORKED]

x > 22 - 3

x > 19

Case 2: - (x + 3) > 22

- x - 3 > 22

- x > 22 + 3

x < - 25

As case 1 and 2 don't overlap, so the answer of x should be:

x < - 25 or x > 19

Find triangle angle A when a=4, b=8, c=6

Answers

Answer:

A=28.95502437A=28.95502437B=104.47751218B=104.47751218C=46.56746344C=46.56746344a=4a=4b=8b=8c=6

What would be the cross section of a rectangular prism that is sliced horizontally?
F.trapezoid
G.Triangle
H.Rectangle
I.Circle

Answers

Answer:

Rectangle

Step-by-step explanation:

Horizontal is going across. So when you slice the rectangular prism, you end up with rectangle

Answer:

It is a rectange

Step-by-step explanation:

No matter how high up or low you cut a horizontal cross section on a rectangular prism, it is always a rectangle.

In 1900 Kansas City had a population of 163,000In 2020 it has a population of 1,686,000Show me exponential growthHow many years after 1900Did it take for the population to double

Answers

The exponential growth is 1.95% and after 35.72 years the population will double.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's suppose the exponential growth function is:

[tex]\rm y = Ae^{rt}[/tex]

A = 163,000

y = 1,686,000

t = 2020 – 1900 = 120 years

Plug all the values in the function:

[tex]\rm 1686000 = 163000e^{120r}[/tex]

[tex]\rm e^{120r} = 10.343[/tex]

Taking ln both side and solving:

r = 0.0194

r = 1.946 ≈ 1.95%

[tex]\rm 2A = Ae^{0.0194t}[/tex]  (the population to double)

After solving:

t = 35.72 years

Thus, the exponential growth is 1.95% and after 35.72 years the population will double.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1


Someone please help me on this question I have to get 100 and I will give you Brainless and I did not mean to pick B

Answers

Answer:

option A

Step-by-step explanation:

The concept of parallel refers to lines that are perfectly relative to another

if you want to memorize this concept. always think of the EQUAL sign.

=

the equal sign has two lines that are perfectly horizontal. no matter if they are inclined, both lines reflect each other.

A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?

Answers

Answer:

3.74 mph

Step-by-step explanation:

412÷110=3.74

Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"

Answers

Answer:

C. 48.98 m

Step-by-step explanation:

[tex]2\pi(7.8) = 15.6\pi = 49.01[/tex]

Find -3A if A=…………….

Answers

Answer:

Option A is correct !

------- HappY LearninG <3 ------

i really need help with this ​

Answers

Answer:

The second answer is decreases.

Step-by-step explanation:

As X -value increases, the y-value decreases. If you reply back with the options for the first half of the question I'll do my best to answer that as well

Graph y = 2x - 7.
Help pleaseee

Answers

Answer:

Follow my directions:

Step-by-step explanation:

Your Slope-Intercept Form: y=2x-7

1.) Find (0,-7) that shall be your y-intercept.

2.) From your y-intercept [ (0,-7) ]  you need to go up 2 and over 1.

**Meaning go up on the y-axis 2 times and go right 1.

     

Find the slope of (9,8) and (5,1)

Answers

Answer:

Slopem=74

As a decimal:

m = 1.75

Step-by-step explanation:

A TV has a listed price of $530.99 before tax. If the sales tax rate is 7.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

569.49$

Step-by-step explanation:

7.25% = .0725

530.99 x 0.725 = 38.50

530.99$ + 38.50$

569.49$

Question 22: 4 pts Find the probability of rolling a 4 on a number cube and then choosing a red ball at random from a bag of 8 blue and 6 red balls.​

Answers

Answer:

1/14

Step-by-step explanation:

a four out of possible   6 rolls   = 1/6

6 red out of 14 balls      6/14

1/6  * 6/14 = 1/14

The Probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

What is Probability?

Probability is "possibility that deals with the chance of occurrence of random event" .

According to the question,

A cube has 6 faces that is  (1,2,3,4,5,6). Total number of faces n(s) = 6.

Probability formula = (Number of favorable event)/(Total number of event).  

Probability of taking 4, P(4) = 1/6.

A bag containing 8 blue and 6 red balls. Total number of balls in a bag n(s) = 14.

Probability of taking red balls P(red balls) = 6/14.

In order to find that probability of rolling a 4 on a number cube and then choosing a red a ball at random only if multiply P(4) by P(red balls).

P(4) × P(red balls) = [tex]\frac{1}{6}[/tex] × [tex]\frac{6}{14}[/tex] = [tex]\frac{1}{14}[/tex].

Hence,  probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

 

Learn more about Probability here

https://brainly.com/question/14378528

#SPJ2

find (a) pq to the nearest tenth and (b) the coordinates of the midpoint of pq p(2,2) q(-3,-6)

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-3 - 2]^2 + [-6 - 2]^2}\implies PQ=\sqrt{(-5)^2+(-8)^2} \\\\\\ PQ=\sqrt{25+64}\implies PQ=\sqrt{89}\implies \boxed{PQ\approx 9.4}[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 + 2}{2}~~~ ,~~~ \cfrac{ -6 + 2}{2} \right)\implies \left(\cfrac{-1}{2}~~,~~\cfrac{-4}{2} \right)\implies \left( -\cfrac{1}{2}~~,~~-2 \right)[/tex]

(2/3)x+4(y-2)=0 slope intercept form

Answers

Answer: y = -1/6x+2

Steps: Simplify the left side, Move all terms not containing y to the right side of the equation, Divide each term and simplify, and write in y = mx+b form.

I hope this helps.

Determine the measure of A.
1) 84°
2) 88°
3) 192°
4) 168°

Answers

84°

Step-by-step explanation:

diameter=168/2

=84°

PQRS is a parallelogram. Angle QSP = 47°. Angle QSR = 24°, PST is a straight line.

Answers

Answer:

The value of x = 109°

angle PQS = 24°

Step-by-step explanation:

24° + 47° + x = 180° { angles on straight line }

=> 71 ° + x = 180°

=> x = 180° - 71°

=> x = 109°

Now,

Angle PQS = 24°

angle PQS = angle QSR { alternative angle }

Step-by-step explanation:

a)(i) x=109°

(ii)It's given that PST is straight line then PST=180°,and

PST=QSP+QSR+x

180° =47°+24°+x

180°=71°+x

180°-71°=x

109°=x

b)(i)PQS=71°

(ii)we know opposite angles are equal in parallelogram

so PSR=PQR=71°

14 2/3 yards into feet?

Answers

Answer:

44.000000001 (exact) or rounded up 44

Step-by-step explanation:

14.666666667*3 because 1 yard= 3 feet

One yard is 3 feet, which means we will have to mutliple 14 2/3 by 3.

14 x 3 =42

2/3 of a yard is 2 feet, which means we must add 2 to 42--->

42+2= 44

14 2/3 yards is 44 feet.

Hope This Helps <3

can anyone help me find the area of these two pls ? ty

Answers

equation pi X r^2 first one = 158.37
second one 50.27

Jill was looking at a picture of herself and 3 friends. She measured the height of her image as 10 centimeters. If Jill is actually 60 inches tall, which equation can she use to find h, the actual height in inches, of one of her friends who is c centimeters tall in the picture?

Answers

The actual height in inches,will be  [tex]\dfrac{1}{6} c[/tex]  of one of her friends who is c centimeters tall in the picture

What is hieght?

Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position.

lets call the height x :

[tex]\dfrac{10}{60} = \dfrac{h}{x}[/tex]

[tex]x = \dfrac{1}{6} h[/tex]

Hence the actual height in inches,will be  [tex]\dfrac{1}{6} c[/tex]  of one of her friends who is c centimeters tall in the picture.

To know more about Hieght follow

https://brainly.com/question/1739912

#SPJ1

if I spend $9.79, how many ways can I receive change from a ten-dollar bill

Answers

Answer:

You can can receive 9 different ways to receive change from a ten-dollar bill

Step-by-step explanation:

- Total spent: $9.79

- How much payed: $10

The change will be $10 - $9.79 = 0.21

- Change: $0.21

Possible coins:

penny: 1¢ ($0.01)

nickel: 5¢ ($0.05)

dime: 10¢ ($0.10)

25¢ (this is too high, can't use)

Combinations:

To get 21...

- not ideal but 21 pennies

- 11 pennies + 1 dime

- 1 penny + 2 dimes

- 16 pennies + 1 nickle

- 11 pennies + 2 nickels

- 6 pennies + 3 nickels

- 1 penny + 4 nickels

- dime + nickle + 6 pennies  

- dime + 2 nickels + 1 penny

using dimes:  [10, 10, 1]   [10, 5, 5, 1]   [10, 5, 6x1]   [10, 11x1]

using nickels:  [5, 5, 5, 5, 1]   [5, 5, 5, 6x1]   [5, 5, 11x1]   [5, 16x1]

using pennies: 21x1

So, there are 9 ways to make the change.

Write an exponential function in the form y=ab^x that goes through points (0, 14) and (6, 896)

Answers

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=6\\ y=896 \end{cases}\implies 896~~ = ~~14b^6\implies \cfrac{896}{14}=b^6 \\\\\\ 64=b^6\implies \sqrt[6]{64}=b\implies 2=b~\hfill \underline{y=14(2)^x}[/tex]

Simplify. (1/2k)(4k)+12
14 k
2 k^2+12
14 k^2
2 k+12

Answers

Answer:

2k^2+12

Step-by-step explanation:

remove parentheses, simplify calculate

Use the Venn diagram to calculate probabilities.

Circles A, B, and C overlap. Circle A contains 3, circle B contains 9, and circle C contains 6. The overlap of A and B contains 1, the overlap of B and C contains 4, and the overlap of C and A contains 7. The overlap of the 3 circles contains 6. Number 8 is outside of the circles.

Which probability is correct?

P(A|B) = One-half
P(B|A) = StartFraction 7 Over 20 EndFraction
P(A|C) = StartFraction 6 Over 23 EndFraction
P(C|A) = StartFraction 13 Over 17 EndFraction

Answers

Using the probability concept and the Venn diagram described, the correct option is given by:

P(C|A) = 13/17.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

P(A|B) is given by the sum of the values that involve both A and B by the sum of all values that involve B, hence:

D = 1(overlap of A and B) + 6(Overlap of the 3).T = 9 + 1 + 4 + 6 = 20.

Hence:

P(A|B) = 7/20.

Following the same logic, we have that:

P(B|A) = (1 + 6)/(3 + 1 + 7 + 6) = 7/17P(A|C) = (7 + 6)/(6 + 4 + 7 + 6) = 13/23P(C|A) = (7 + 6)/ (3 + 1 + 7 + 6) = 13/17.

Hence the last option is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

the correct answer is 13/17

I got it right on edge 2022

Step-by-step explanation:

The inverse of G(x) is a function.
G(

Answers

Answer:

False

Step-by-step explanation:

To determine if the inverse of g(x) is a function, we will use the horizontal line test.

A horizontal line will pass through more than one point, so it is not a function

Why does Mrs snuggle call her sons ranch solar focus

Answers

Answer:

It is the spot where sons raise meat.

Gellar hit a golf ball 300 meters across the field. How many kilometers did the golf ball travel?

A) 0.03 kilometers

B) 0.3 kilometers

C) 3 kilometers

D) 30 kilometers

Answers

Answer:

b

Step-by-step explanation:

1000 meters in a kilometer

In ΔTUV, u = 330 inches, t = 800 inches and ∠T=53°. Find all possible values of ∠U, to the nearest degree.

Answers

Answer: 19

Step-by-step explanation:

Heeeeeeeelp
Find the sum of the even numbers from 66 to 152, inclusive.

Answers

Answer:

72+30=102

Step-by-step explanation:

0+2=2

7+3=10 so the answer

10

+002

102

What is the value of the expression below when f = 2.5


8 + 4f
A. 132
B. 18
C. 42
D. 28

Answers

Answer:

x = 48

Step-by-step explanation:

(x - 6)⁰ + ( 2x + 42)⁰ = 180⁰

x - 6⁰ + 2x + 42⁰ = 180⁰

x + 2x - 6⁰ + 42⁰ = 180⁰

3x + 36⁰ = 180⁰

3x + 36⁰ - 36⁰ = 180⁰ - 36⁰

3x = 144⁰

3x / 3 = 144⁰ / 3

x = 48

Hope this helps, thank you :) !!

the answer is B
explanation
Other Questions
Is the painting starry night a landscape painting What is what is most closely a central idea of churchill's address? 0 a. britain will need help from other nations if it has any hopes to succeed. 0 b. the fate of humanity is in god's hands. c. great sacrifice will be required to overcome the arriving onslaught. 0 d. britain and france are even closer allies because of their contentious past. How do you say sugar crash in French If 1ml of water fills 1 cubic centimeter of space, how many ml of water are needed to fill each tank? Give a example of something being low supply what can happens to prices find the surface area of this prism 3cm 7cm5cm PLS HELP I will give Brainlyest answer!!6. Place these activities in the correct orderComplete the Final Exam within 60 days of your enrollment start dateComplete the required Unit Assignment(s)Complete a Unit PretestRequest the Final ExamRepeat for every unitPoints0/1 if you made 60 muffins how many muffins would you have made Il est interdite de parler anglais dans cette classe.CorrectIncorrect Why was the supreme courts ruling important in gitlow v. new york with respect to due process? because it used the definition of citizenship to interpret the issue of incorporation because gitlow's legal rights were used to interpret the issue of incorporation because the supreme court believed gitlow was guilty because the supreme court believed gitlow was innocent Which triangle is possible?3 ft, 4ft, and 5ft 4yd, 5ft, and 10yd3 ft, 3 ft, and 7 ft.4 in, 4 in, and 8 in The speed of light (c) is:A) 3.00*108 m/sB) 9.8 m/s2C) 3.14159265D) Over 9000! What is the capital of croatia what amendment is it? The pattern 2, 5, 17, ________, ________ follows the rule multiply by 4, then subtract 3. What are the next two terms?Group of answer choices68, 26068, 257 During which event is more energy produced compared to other days to turn a turbine? el nio a tsunami during a spring tide during a low tide During the 1920s , Americas economy seemed strong, but the money being spent was mostly borrowed money and not earned money from working? PLS HELP ME Which object has the greatest kinetic energy? A: a truck with a mass of 3,500 kg moving at 30 m/s B: a person with a mass of 73 kg running 6 m/s C: a locomotive engine with a mass of 205,000 kg moving 5 m/s D: a fast pitched baseball with a mass of .5 kg moving at 46.9 m/s PLEASE HELP If you have 1 mole of HO how many moles of H2O you have? How did the Chinese Communist Party become powerful?The peopleof China elected the Communist Party torule.The United States and Japan helped the CCP come topower.The CCP assassinated the last Chinese emperor.The Soviet Union helped the CCP getrid of itscompetition.