True or False: If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees.

Answers

Answer 1

We want to see if the given statement is true or false.

We will prove that the statement is false.

The statement is:

" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."

We can use the rule:

Sin(θ) = (opposite cathetus)/(hypotenuse).

Let's define:

hypotenuse = H

opposite cathetus = H/2

Let's see if the given angle is equal to 60°, we will have:

Sin(θ) = (H/2)/H = 1/2

θ = Asin(1/2) = 30°

So we can see that the statement is false.

If you want to learn more, you can read:

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Related Questions

What is the slope of the line?

Answers

Answer:

Slope is technically 1, because it implies that it's going up one and over to the right one. Also in slope-intercept form it would look like this

y = x + 1.

Step-by-step explanation:

Hope this makes sense :)

Find and correct the error!

Answers

Answer:

Step-by-step explanation:

Jen 's drawing shows that the lines are parallel in fact they are not parallel !  Since their slopes are not equal !

[tex]\displaystyle \left \{ {{y=2x+3} \atop {-y=2x+1}\ \ |\cdot (-1) } \right. => \left \{ {{y=\boldsymbol {2}x+3} \atop {y=\boldsymbol {-2}x-1}} \right. => -2\neq 2[/tex]

They will intersect at point A with coordinates  :

[tex]2x+3=-2x-1 \\\\ 4x=4 \\\\ x=-1 \ ; \ y=1 => A(-1 \ ; \ 1)[/tex]

Gavin and Jim win some money and share it in the ratio 1:3. Gavin gets £15. How much did Jim get?

Answers

Answer:

£7

Step-by-step explanation:

15×203_3[2

w820362

45

Please, help me in this!

Answers

QUESTION 1 :
Every 12 stairs she trips up 1
So 204 / 12 = 17

Answer : she climbs 204 stairs. And trips 17 times

QUESTION 2
96/ 12 = 8

Answer : she climbs 96 stairs and trips 8 times

QUESTION 3 :
24 x 12 = 288

Answer : she’s climbed 288 stairs and trips 24 times




Solve for p.
-5(-9p + 7) = 6 - 3 + 7p

Answers

Answer:

p = 1

Step-by-step explanation:

[tex] - 5( - 9p + 7) = 6 - 3 + 7p \\ 45p - 35 = 3 + 7p \\ 45p - 7p = 35 + 3 \\ 38p = 38 \\ p = \frac{38}{38} \\ p = 1 \\ [/tex]

Read the summary of the section of "The Beginnings of the Maasai,” where the volcanic eruption and its results are described.

As a result of a volcanic eruption, the sky god Enkai and the cattle were thrown into the sky. Enkai wanted to save his cattle. He grew a tree that bridged the sky and the earth. The cattle walked down the tree to Neiterkob. Neiterkob and the Maasai tribe took over caring for the cattle.

Why does the summary need to be revised?

The summary incorrectly restates the myth.
The summary includes too many minor details.
The summary lacks transitions that connect ideas.
The summary is missing important words and phrases.

Answers

Answer:

Hello! Your answer should be: the summary lacks transitions that connect ideas.

Step-by-step explanation:

Sorry if it is wrong :(

The summary needs to be revised because The summary lacks transitions that connect ideas.

What is a summary?

A summary is a brief statement or account of the main points of something. The summary is essentially a short version of a longer text. The size of a summary can vary based on the type of writing, but most often it is no longer than a page.

They are used to give an overview of what happens in the writing and review the main themes. This lesson will continue to explore what summary writing is, types of summaries, and examples of summaries.

Keeping the summary concise will give the reader the information they need the most, without any unnecessary information.

What is a volcanic eruption?

A volcanic eruption is when lava and gas are released from a volcano—sometimes explosively. The most dangerous type of eruption is called a 'glowing avalanche' which occurs when freshly erupted magma flows down the sides of a volcano.

Volcanic eruption can come from side branches or from the top of the volcano. Some volcanic eruption  are terrible explosions that throw out huge amounts of rock and volcanic ash and can be disastrous for the people and animals that are living nearby to it .

Volcanic eruption are often named after famous volcanoes where that type of eruption has been seen. Some volcanoes may show only one type of eruption during a period of activity, while others may show a range of types in a series.

Hence, option C is the correct answer

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What are the coordinates of the point on the directed line segment from (−8,5) to (4,−3) that partitions the segment into a ratio of 5 to 3?

Answers

Answer:

(-0.5, 0)

Step-by-step explanation:

Directed line segment from (−8,5) to (4,−3).

Ratio is 5/3.

The required coordinates are:

x = -8 + 5/8*(4 - (-8)) = -8 + 5/8(12) = -8 + 7.5 = -0.5y = 5 + 5/8*(-3 - 5) = 5 + 5/8(-8) = 5 - 5 = 0

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

74

Step-by-step explanation:

87-13=74

Answer:

Sydeny is 50 years old

Terry took that SAT and scored a 1410 when his math score, m, was combined with his verbal score, v. His verbal score was 190 points less than his math score. What was his verbal score?

Answers

Answer:

I really don't know but good luck

A store sells 5-pound bags of potatoes for $2.35 or 8-pound bags of potatoes for $3.52. Based on this information, which statement is true?

Answers

i dont get it what would make it true? more info please! sorry if im wrong.

I don't know what the answer choices are

5 pound = $2.35

8 pound = $3.52

2.35/5 = 0.47

3.52/8 = 0.44

The 8 pound bag costs less dollars per pound than the 5 pound bag

The polynomial function P(X) = 30x - 97,000 models the Relationship between the number of computer briefcases x that a company sells and the Profit the company makes , P(x). find p(4000) computer Briefcases

Answers

Answer:

A Is the mega super duper pooper hooper flooper booper answer

Step-by-step explanation:

Brainlyyyyyyyy

Twenty decreased by 2 times a
number is the same as 10 less
than 3 times the number.

Answers

Answer:

6

Step-by-step explanation:

12(2 - x) + 2 = 14 (12(2-x) + 2 =14

Answers

Answer:

x = 1

Step-by-step explanation:

12(2 - x) + 2 = 14

24 - 12x + 2 = 14

26 - 12x = 14

-12x = -12

x = 1

Hopefully this helps!

Brainliest please?

Gía trị của biểu thức A = ( 2x - 5)x(2x +5) - 4 x (x+2)x(x-2) + (10x + 7)

Answers

Answer:

language

Step-by-step explanation:

so basically idekkkkkkk

Answers

52 miles every 2 hours

52 / 2 = 26 miles every hour

[tex]\frac{1}{3} (26)=8\frac{2}{3}[/tex] miles every 1/3 hours

Answer: The go cart can travel [tex]8\frac{2}{3}[/tex] miles every 1/3 of an hour

Alan's parents are both in their forties. The sum of their ages is eighty-four. The product of their ages is 1,763. How old is Alan's oldest parent?
A. 41
B. 43
C. 45
D. 47



PLEASE ANSWER

Answers

as both of them are at their forties which means

———————-

they are above forty
then: we take an example of 41 and 43
1) the sum of the two ages is =84 then
(41+43=84)

—————————————————————

2) the product of the two ages is 1763 then
(41×43)
41
×43
123
164
1763
his oldest parent is 43 yrs old

Correct answer gets brainly!!

Answers

Answer:

Part A. the answer is 90

Part B. the answer is 145

Hope this helps :P

Step-by-step explanation:

The answer are 90 and 145

PLs HElp Will give brainiest
k 12 test
1. Multiply.

(−6.8)(−0.06)


2. Multiply.

11.54⋅(−2.6)


3.Multiply.

(−2.07)(4.6)

4.The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.

How many pounds of soil are needed for the garden?


5. Multiply.

2.3⋅(−1.2)


a. −27.6

b. −2.76

c. 2.76

d. 27.6

Answers

Answer:

Step-by-step explanation:

1 =0.408

2=−30.004

3=−9.522

4= 33.54 pounds of soil are needed

5= b -2.76

1. Multiply (-6.8) * (-0.06) = 0.408

2. Multiply 11.54 * (-2.6) = -30.004

3. Multiply (-2.07) * (4.6) = -9.502

4. The garden needs 33.54 pounds of soil.

5. Multiply a). -27.6

When we multiply two numbers, we are essentially adding one of them multiple times based on the value of the other number. Let's go through each problem step by step.

1. To multiply -6.8 and -0.06, multiply their absolute values

  (ignoring signs): 6.8 * 0.06 = 0.408.

Since both numbers are negative, the product is positive:

(-6.8) * (-0.06) = 0.408.

2. For 11.54 * (-2.6), multiply their absolute values:

11.54 * 2.6 = 30.004.

One number is negative, so the product is negative:

11.54 * (-2.6) = -30.004.

3. Multiply the absolute values of -2.07 and 4.6: 2.07 * 4.6 = 9.502.

The numbers have different signs, so the product is negative: (-2.07) * (4.6) = -9.502.

4. The area of the garden is 12.9 square feet, and each square foot requires 2.6 pounds of soil.

To find the total soil needed, multiply: 12.9 * 2.6 = 33.54. Therefore, the garden needs 33.54 pounds of soil.

5. To multiply 2.3 and -1.2, multiply their absolute values: 2.3 * 1.2 = 2.76. Since one number is negative, the product is negative: 2.3 * (-1.2) = -2.76, which matches option a.)

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Which side is the hypotenuse of XYZ

Answers

The hypothenuse is YX. The hypotenuse is always the longest side of a right angled triangle and also the opposite side of the right angle!

A truck can be rented from Company A for ​$140 a day plus ​$0.30 per mile. Company B charges ​$80 a day plus ​$0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

800 miles

Step-by-step explanation:

140 + (0.30 x 800) = 400$, 800 miles

80 + (0.40 x 800) = 400$, 800 miles

(sorry for incorrect answer the first time, mixed up the cost and number of miles)

this might be a waste of time but. 1-6 :)

Answers

Answer:

Step-by-step explanation:

1. 6 yd

2. 32 oz

3. 51.2 fl oz

4. 10560 ft

5. 2.5 T

6. Quarts to what??? Pints???

Rhombus ABCD has vertices A(1,1), B(5,3), C(7.7), and D(3,5). After a translation, the image A'
is located at (-2,8). What are the coordinates of C'?

Answers

Answer:

C'(4, 14)

Step-by-step explanation:

8/5 minus 1/6 = i dont know the answer sorry

Answers

Answer:

Step-by-step explanation: 8/5-1/6

Find a common denominator

48/30-5-30=43/30

find the value of a + 1a​

Answers

Answer:

2a

Step-by-step explanation:

a+1a is the same as a+a=2a

I will give brainliest PLEASE help!

The table shows how much money Diego has after buying some games and represents a linear function.

What is the y-intercept of the function shown in the table, and what does it represent



A. The y-intercept is (4,0), and the 4 represents the amount of money
Diego spends per game.

B. The y-intercept is (4,0), and the 4 represents the number of games
Diego buys.

C. The y-intercept is (0, 150). Diego has $150 before buying any
games.

D. The y-intercept is (0, 150). Diego spends $150 per game.

Answers

Answer - c
Explanation - if there is a 0 it’s always the y-intercept and then 150 is the amount of money he has while buying 0 games or before buying games it’s his starting amount

Answer: C. The y-intercept is (0, 150). Diego has $150 before buying any

Step-by-step explanation:

Brainlylist

Step-by-step explanation:

Please help asap, correct answer will get brainliest

Answers

Answer:

im not sure if my answer is correct

Please help ASAP!!!

Anyone know this?


See pic attached

Answers

Step-by-step explanation:

a ) 12 , 17 , 22 , 27 , 32

according to the given sequence, they added 5 in the numbers

b ) 83 , 77 , 71 , 65 , 59

in this given sequence they just subtracted 6 from the number

hope this answer helps you dear...take care and may u have a great day!

Someone please help. Ill give you brainiest.

Answers

19. The absolute value equation of the graph is: y — | x - 0 | + 2 where (0,2) is the vertex.

Domain: (-∞, ∞)
Range: (-∞, 2]

A function is a relation in which no two ordered pairs have the same first component (inputs/x-values/domain) and different second components (outputs/y-values/range).

In determining whether a given relation is a function, we need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)? 

In the case of an absolute value function, its relation is a function because each input corresponds to exactly one output. To demonstrate, I performed a Vertical Line test to show why it is a function.

The Vertical Line Test (VLT) allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. As the attached graph of the absolute value function, EACH vertical line drawn crosses the graph only once. This graph passes the VLT, making it a function.


20.)

The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.

The set of second components (y-coordinates) is the RANGE of the relation.

Domain: {-2, -1, 0, 1}.
Range: {4, 3, 2, 1, 0}.

The given relation is NOT a function. As you can see from the given diagram, the input value of 2 corresponds to two output values: 4 and 0.

Please mark my answers as the Brainliest if you find my explanation helpful :)

4(6 – x) = 8

Solve for x

Answers

Answer:

4

Step-by-step explanation:

24 - 4x = 8

-4x = 8 - 24

-4x = -16

x = 4

The area of a square is 676 square feet. what is the perimeter of the square?

Answers

Given : The area of a square is 676 square feet. what is the perimeter of the square?

Solution :

Area of Square = 676 ft²

Let's assume the constant multiple be α (alpha)

Length × Breadth = 676

α × α = 676

α² = 676

α = √676

α = 26

So, now getting perimeter

As we know that, Perimeter = 4(Side)

Perimeter = 4(26)

Perimeter = 104

Henceforth, the perimeter of square is 104 ft

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