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

A. always
B. sometimes
c never

Answers

Answer 1

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


Related Questions

There are 184 students going on a field trip. there is 1 chaperone for four students. 50 students can fit on one bus how many busses with there be

Answers

184 / 4 = 46 chaperones needed

184 + 46 = 230 total people

230/50 = 4.6

 5 busses are needed


Mr. Mask suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30% lower than $2075. What was the price the travel agent found? Explain and Show your work.

Answers

30% lower means it is 100-30 = 70% of the original price.

So the answer is (2075 * 70) / 100  = $1452.50
price 30% lower than $2075 = 70% of $2075
1) 70% of $2075?
2)convert 70% into a decimal( 0.70)
3)multiply $2075 by 0.70
4)$1452.00
5)The price the travel agent found was $1452.50

Which statements must be true?

Select each correct answer.

UW=VW

UV=UK

JK=2VW

UW=12KL

UV¯¯¯¯¯∥JL¯¯¯¯¯

Answers

UW is 1/2 KL so that one is out 
UV is parallel to JL that's correct
JK is 2VW that's correct
UV and UK aren't congruent
UW and UV aren't congruent

The only correct statements in relation to the given triangle are;

JK = 2VW

UV ║ JL

1) UW = VW; This is not correct because we see that UW forms a parallel line to KV but there is nothing to show about it being equal to VW.

2) UV = UK; This is not correct because there is no sign of them being congruent to each other.

3) JK = 2VW; We see that UKVW forms a rhombus. This means that parallel sides are equal. Thus; UK = VW.

Since UK is equal to UJ from the triangle, then;

2UK = JK

Since UK = VW, then; 2VW = JK. Thus, the statement is true.

4) UW = 12KL; This is not correct because UW = KV = KL/2 from the diagram.

5) UV ║ JL; This statement is correct because from the diagram UV is a side of the parallelogram UVLW with UV parallel to WL since opposite sides of a parallelogram are equal.

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PLEASE HELP!!







Which functions have graphs that are steeper than the graph of f(x)=−3x^2 ?

Select all correct answers.

A.)
k(x)=3x^2

B.)
j(x)=2x^2

C.)
g(x)=−4x^2

D.)
h(x)=−2x^2

E.)
m(x)=4x^2

Answers

Steepness in quadratic functions refers to how wide or narrow the graph is.

Positive/negative doesn't affect steepness in this situation so A would be out because it is essentially the same as the problem.

You would have to use graph transformations. When a number is front of the whole equation like how 3 is in front of x^2, it stretches the graph VERTICALLY making the graph MORE STEEP.

So which graphs has the largest coefficient (disregarding the negative signs)

It says graphs (with an s) so it would be C and E.

hope this helps C:

3 times the sum of 14 and a number is 57
what the equation to represent this

Answers

The answer is:
3 (n + 14) = 57
3(n+14)=57. and the answer is 5.

One way to find the total cost of a jacket for $55.80 with a sales tax of 2.7% is 55.80+0.027(55.80) write an equivalent expression to show another way to find the total cost

Answers

Final answer:

To find the total cost of a jacket with sales tax, you can either use the given expression or calculate the sales tax separately and add it to the original price.

Explanation:

To find the total cost of a jacket with a sales tax, you can use the expression 55.80 + 0.027(55.80) as mentioned in the question.

Another way to find the total cost is to calculate the sales tax first and then add it to the original price of the jacket. To do this, you need to multiply the original price of the jacket by the sales tax rate (2.7% or 0.027) and then add the result to the original price: 55.80 + (0.027 * 55.80).

Three students out of a group of 10 seniors will be chosen to speak in front of the school. What is the probability that Ben, Mark, and Ty will be chosen

Answers

3 out of 10

hm, if order does not matter
then it is 3/10 that one of the 3 is chosen
assuming that one was chosen, we now have a probablity of 2/9
then the last is 1/8

so the ending probablity will be 3/10 times 2/9 times 1/8 or 6/720 or 1/120

the probablity will be 1/120

if the order does matter then it is
1/10 times 1/9 times 1/8 or 1/720 because there is 1 choice for each

what is 2340 divided by 53?

Answers

44.1 is the answer to that
     -
44.1

The (-) is there because the actual number is 44.1509433962

Which plane represents the bottom of the rectangular prism above?
A) Plane DGE
B) Plane AHC
C) Plane FGH
D) Plane EDC

Answers

This can be easily figured out. Check to see what points are on the bottom and that is your answer.

B

Write as a sum of logarithms log 1/2 (abc)

Answers

We have log 1/2 (abc) = log 1/2 a + log 1/2 b + log 1/2 c;

what are properties of an exponent

Answers

There are a couple of operations you can do on powers and we will introduce them now. An example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

Hope this helps!
This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.Definition of an Exponent. An exponent is a number that indicates how many times you should multiply a number to itself. For example, 4^2 means multiply 4 by itself 2 times, or 4 * 4 = 16. ... The exponent is written as a superscript number after the number being multiplied, which is called the base.

Problem page ali made a shirt using 15 meters of yellow fabric and 12 meters of green fabric. how many meters of fabric did he use in all?

Answers

fifteen + twelve is twenty seven or 27
15 + 12 = 27

Hope That Helped!

The sum of the measures of two interior angles of a triangle equals 150°. What is the measure of the third angle?

A.30°
B.40°
C.50°
D.60°

Answers

Sum of all angles in a triangle = 180

3rd angle = 180 - 150 = 30

Answer: A

Find y'' by implicit differentiation. 4x3 + 5y3 = 2

Answers

The value of implicit differentiation of y"  of the 4x³ + 5y³ = 2 is [tex]30y \times \frac{dy}{dx} + 15y^2 \times \frac{d^2y}{dx^2} = 0\\[/tex].

To find y'', or the second derivative of y, by implicit differentiation, we'll differentiate both sides of the equation with respect to x, treating y as a function of x.

Step - 1:

Start by differentiating each term with respect to x using the chain rule:

Differentiating 4x³ with respect to x gives 12x².Differentiating 5y³ with respect to x requires the chain rule. We get 15y²(dy/dx).

Since we're differentiating with respect to x, we need to multiply dy/dx by y' to indicate the derivative of y with respect to x.

Step - 2:

The right-hand side of the equation, 2, has a derivative of 0 since it is a constant.

Putting it all together, we have the equation:

[tex]12x^2 + 15y^2 \times \frac{dy}{dx} = 0.[/tex]

Now, to find y'', we differentiate this equation with respect to x, treating dy/dx as a function of x.

Differentiating 12x² with respect to x gives 24x.Differentiating 15y² × dy/dx with respect to x requires the product rule. We get [tex]30y \times \frac{dy}{dx} + 15y^2 \times \frac{d^2y}{dx^2}[/tex].

Step - 3:

The right-hand side of the equation, 0, has a derivative of 0 since it is a constant.

Putting it all together, we have the equation:

[tex]30y \times \frac{dy}{dx} + 15y^2 \times \frac{d^2y}{dx^2} = 0\\[/tex]

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Final answer:

To find y'' by implicit differentiation from the equation 4x^3 + 5y^3 = 2, differentiate both sides with respect to x, apply the chain and product rules appropriately and then solve for y''.

Explanation:

To find the second derivative y'' by implicit differentiation for the equation 4x^3 + 5y^3 = 2, you follow these steps:

Differentiate both sides of the equation with respect to x to find the first derivative (y').Apply the chain rule to differentiate y terms, remembering to multiply by y' (dy/dx) because you are differentiating with respect to x.The differentiation of 4x^3 yields 12x^2, and the differentiation of 5y^3 using the chain rule gives you 15y^2*y'.You then set the derivative equal to 0, because the differential of 2 with respect to x is 0.To find the second derivative (y''), differentiate your expression for y' with respect to x again, applying the chain rule and product rule as necessary.

This process will provide you with the value of y''.

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What is the degree of the polynomial 5pq2−3p6+5p6q3−6p3q5 ?

Answers

when u have more then 1 variable, which this problem does, the degree is found by using the term that is greater (when adding the exponents)....

the degree of this is 9...

because :
5pq^2...this term has a degree of 3
3p^6...this has a degree of 6
5p^6q^3...this has a degree of 9
6p^3q^5....this has a degree of 8

so the degree of the polynomial is the highest one....and that is 9

The degree of the given polynomial [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex] is   9

Explanation :

The given polynomial is [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex]

Degree of the polynomial is the highest exponent value of the terms . To find out highest exponent , we add the exponents of each term

[tex]5pq^2----> 1+2=3\\-3p^6--->6\\+5p^6q^3--->6+3=9\\-6p^3q^5---> 3+5=8[/tex]

From this we can see that the highest exponent is 9.

so the degree of the given polynomial is 9

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HELP PLEASE ASAP! BRAINLIESTTTTTT
1. Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.

2. Write the equation of the line of best fit using the slope-intercept formula y=mx+b. Show all your work, including the points used to determine the slope and how the equation was determined.

3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

My plot:

68 inches 65 inches
68 inches 67 inches
64 inches 64 inches
36 inches 37 inches
61 inches 64 inches
69 inches 70 inches
65 inches 66 inches
70 inches 69 inches
62 inches 61 inches
71 inches 70 inches
64 inches 65 inches
70 inches 72 inches

Answers

If you talk of a scatter plot, regularly the x-axis is used to plot the explanatory variable, this is the possible cause; while the y-axis is used to plot the varibale that is being explained, the result, the efffect.

If you are dealing with a function or model, you the convention is to use the x-axis for the independent variable, this is the input, while the y-axis is for the output or dependent varibale (which is determined by the independent variable).

If a ray divides an angle into two complementary angles, then the original angle measures °

Answers

the original angle is a supplementary angle or 180 degrees as complementary angles are 90 degrees

Answer:

The original angle measures [tex]90^{\circ}[/tex].

Step-by-step explanation:

We are asked to find the measure of original angle, when a ray divides an it into two complementary angles.

We know that two complementary angles add up-to 90 degree.

Therefore, the original angle is a right angle or the measure of original angle is [tex]90^{\circ}[/tex].

What two numbers can you multiply to get 130?

Answers

130 ÷ 2 = 65

Check it to make sure. 

2 × 65 = 130

65 and 2 can be multiplied to get 130.

Mrs. Rodriquez has 24 students in her class. Ten of the student or boys. Jeff Claims that the ratio of boys to girls in the class must be 5:12. What is Jeff’s error and how can he correct it?

A. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.

B. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 14:10 or 7:5.

C. Jeff did not write the ratio in the correct order. He should Of written as 24:10.

D. Jeff did not write the ratio in the correct order. He should of written it as 12:5

Answers

Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
The correct answer is A. I hope I helped!

A. 12.2
B. 13.45
C. 16.87
D. 15.12

Answers

x is hypotenuse
10 is opposite leg

Use the sine

sin x = opp/hyp

sin 55 = 10/x

x = 10/sin 55 = 12.208

Answer: x = 12.2

True or false A scalene triangle can be equilateral

Answers

IT'S FALSE!! All the sides of a scalene triangle are UNEQUAL. YOU'RE WELCOME :D

Hence, The statement " A scalene triangle can be equilateral " is false .

What is scalene triangle?

A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.

According to the question

A scalene triangle can be equilateral

Now according to the definition of scalene triangle :

A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures.

Therefore ,

It cannot be equilateral .

Hence, The statement " A scalene triangle can be equilateral " is false .

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Write the following statement as a conditional statement. A kite is a figure with four sides. If a figure has four sides, then it is a kites. If a figure is a kite, then it has four sides. If it is a figure, then it is a kite. If it is a figure, then it has four sides.

Answers

The statement that should be rewritten as conditional statement is:
A kite is a figure with four sides.
A conditional statement is also called if-then statement. It is a hypothesis followed by a conclusion.
For our case the conditional statement is:
If a figure has four sides, then it is a kites

Answer:

If a figure has four sides, then it is a kites.

Step-by-step explanation:

A bakery offers a sale price of $3.40 for 3 muffins. What is the price per dozen? The price per dozen muffins is $

Answers

Hey there,
In a dozen we have 12.. And 3 x 4 is equal to 12 
3 muffins= $3.40
12 muffins= $13.60 (x4)

Hope this helps :))

~Top

Which is true about rigid transformations and circles?
a.a reflection of a circle does not conserve the circle's radius.
b.a circle is only carried onto itself after each one degree rotation.
c.a translation of a circle does not conserve the circle's circumference.
d.a circle's shape is preserved regardless of any rigid transformation?

Answers

A rigid transformation is defined to be one in which the pre-image of the object and its new image after the transformation both have the exact same size and shape. So the answer in this question is:

D. a circle's shape is preserved regardless of any rigid transformation

Answer: D. a circle shape is preserved regardless of any rigid transformation.

Step-by-step explanation:

A class consists of 6 girls and 10 boys. if a committee of 3 is chosen at random from the class, find the probability th

Answers

6 x 10 = 60

 divide 60 by 3

 your answer is 20 :)

Hope that made sence

Joe was making mixed nuts. He used 2 1/4 pounds of peanuts and 3 1/5 pounds of cashews. How many pounds of mixed nuts did Joe make?

Answers

1. Make improper fractions with common denominators
2 1/4= 9/4=45/20
3 1/5=16/5=64/20

2. Add the factions
45+64=109
109/20

3. Divide the numerator by the denominator

109/20=5.45

4. Your answer is 5.45 pounds

Answer:

the answer is B.

Step-by-step explanation:

Trust me

1. Please express your answer in scientific notation.
(6.0 x 10^5) x (3.0 x 10^4) =

A. 18 x 10^20
B. 18 x 10^9
C. 1.8 x 10^20
D. 1.8 x 10^10

Answers

Rearrange, group all the 10^smth togther
(6.0×3.0)(10^5×10^4)=18×10^9
B
The answer to this question is B

Simmon made 2/3 of a pound of weighed pizza. He distributed the pizza to 6 of his friends. What was the weight of the pizza that each friend gets?

Answers

Each friend got 2/3 /6=2/18

What set of reflections would carry triangle ABC onto itself?

'triangle ABC on the coordinate plane with point A at 0, 2, point B at 2, 4, and point C at 3, 0.


x-axis, y=x, y-axis, x-axis

x-axis, y-axis, x-axis

y=x, x-axis, x-axis

y-axis, x-axis, y-axis, x-axis

Answers

y-axis, x-axis, y-axis, x-axis

Try to test apex B to reassure that it is correct.

What is the area of a section of pavement that is 20 ft wide and 50 yd​ long? give your answer in square feet?

Answers

Since this is supposed to be square feet, you need to multiply 50 by 3 to convert yards to feet. So, this is 20x150 square feet, which is 3000 square feet.
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