SA triangle has side lengths of 11, 60, and 61. When using the converse of the Pythagorean theorem to determine if this is a right triangle, what is the value of c in the formula a² +b²=c²?
61
11
11²
60

Answers

Answer 1

Value of c is determined 61 unit.

What is right-angled triangle?

Triangle that has one angle 90 degree is called right-angled. In case of a right triangle the square of the largest side length is equal of the sum of the square of the other two side length.

what is the value of c in the above formula?

SA triangle has three side length 11-unit, 60 unit and 61 unit respectively.

The triangle is verified as a right-angled triangle by Pythagorean theorem.

And as the properties of a Pythagorean theorem the sum of the square of two side length is equal to the square of the largest side length.

if we say, one side length, a = 11 unit

             second side length, b = 60 unit

    the largest side length, c

now we will check,  

√(11²+60²) = c² =√3721 = 61

the value of c = 61 unit.

hence, the SA is right-angled triangle.

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Related Questions

PLZ help me with no links

The circumference of a circle is 21π cm. What is the area, in square centimeters? Express your answer in terms of pi.

Answers

Answer:

110.25π sq cm

Step-by-step explanation:

circumference 2πr= 21π cm

so r = 21/2= 10.5 cm

area of circle = πr^2

=π (10.5)^2

=110.25 sq cm

Sidney would like to buy a winter coat with an original price of $44.60. Which coupon should she use?

Answers

What’s the options? There’s no options

The table provides information on road accidents reported to the police for the days in December.


Accidents reported l Frequency

3 - 7 l 17

8 - 12 l 1

13 - 18 l 1

19 - 25 l 12


Estimate the range.

Answers

The range of the accidents reported from the grouped frequency table is 22.

What is a range in a set of data?

The range is the difference between the highest value and the lowest value of a given set of data.

We have,

The number of accidents reported from the grouped frequency table.

The largest number of accidents = (19 - 25)

The smallest number of accident = (3 - 7)

Now,

Range.

= 25 - 3

= 22

Thus,

The range of the reported accidents is 22.

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. An interior designer plans to use triangular tiles that are 8 cm × 9 cm × 13 cm for a backsplash. In order to fit them together properly, she needs to know the size of the angles on the tile. Calculate the three angles on the tile, accurate to one decimal place. Include a diagram.

Answers

The measures of three angles are 40.5°, 43.5° and 95.8°.

What is sine rule?

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

Given that, an interior designer plans to use triangular tiles that are 8 cm×9 cm×13 cm for a backsplash.

Using cosine rule, we get

9²= 8²+ 13²- 2(8)(13) cos θ (angle opposite 9 cm side.)

81=64+169-208 cos θ

81-233=-208 cos θ

-208 cos θ=-152

cos θ=-152/(-208)

cos θ=0.7307

θ=43.7°

Using sine rule,

The formula for sine rule is sinA/a=sinB/b=sinC/c

sinA/8 =sin43°/9=sinC/13

sinA/8 =0.7307/9

sinA/8=0.0811

sinA=0.6495

A=40.5°

So, ∠A+∠B+∠C=180°

40.5°+43.7°+∠C=180°

∠C=95.8°

Therefore, the measures of three angles are 40.5°, 43.5° and 95.8°.

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HELP ME WITH THIS> WILL MARK BRAINLIEST

Answers

Answer:

I think x = 8

Step-by-step explanation:

In a middle-school mentoring program, a number of the sixth graders are paired with a ninth-grade student as a buddy. No ninth grader is assigned more than one sixth-grade buddy. If 13 of all the ninth graders are paired with 25 of all the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy

Answers

Answer:

13/25

I hope this is the correct answer.

What is the opposite reciprocal of 0/6

Answers

Answer: The reciprocal of a number is defined as 1 divided by that number. The opposite of a number is the number with the opposite sign. Therefore, the opposite reciprocal of a number is equal to the reciprocal of the opposite of that number.

In this case, the opposite reciprocal of 0/6 is the reciprocal of the opposite of 0/6. The opposite of 0/6 is 0/-6, which is equal to -0/6. The reciprocal of -0/6 is 1/(-0/6) = -6/0.

However, division by 0 is not defined, so it is not possible to find the reciprocal of -0/6. Therefore, the opposite reciprocal of 0/6 is undefined.

Step-by-step explanation:

Answer:

there is no reciprocal for 0/6

Step-by-step explanation:

Nora needs at least $115 for a new cell phone. She has already saved $45. She earns $7 an hour at her job. Write and solve an inequality to find how many hours she will need to work to buy the phone.

Answers

Answer:

she only needs to work ten hours

Explanation: if you subtract 45 from 115 you well end up with 70 a and if you work for ten hours 7 ×10=70 so you would have enough.

What is a 1 million sided shape called?

Answers

A one million sided shape called as Megagon.

We know that a polygon is noting but a closed two-dimensional figure which is enclosed by line segments.

These line segments are known as sides.

A polygon has at least three straight sides and angles.

Polygons are classified mainly into four categories. Regular polygon, Irregular polygon, Convex polygon and Concave polygon

We know that a polygon with n sides is called n-gon.

For n = 1000000, i.e., a polygon with one million sides is called as Megagon.

A number of edges and vertices = 1000000

And the internal angle of megagon is about 179.99 degrees.

Therefore, a shape with  1 million sides is known as a Megagon

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what is the approximate volume?

Answers

Answer:

A. 524m^3

Step-by-step explanation:

Formula for volume of sphere:

[tex]V = \frac{4}{3} \pi r^3[/tex]

If we use 3.14 for pi, we get:

V = 4/3(3.14)(5)^3

V = 523.33

answer : 524m :))

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PLEASE HELP ME ASAP!!!!!!!

In a party, the guest's attendance depends on their vehicle status. If they have four wheelers then the attendance of guests is 2500 and if they have two wheelers then the attendance of guests is 1500. If on the next party, 70% of families will have four wheelers and 30% of families will have two wheelers. What is the expected attendance of guests?

Answers

When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

what is percentage ?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

2500 guests are present when four-wheelers are available.

two wheelers, the number of guests is 1500,

making the total 2500 + 1500 = 4000.

70 percent of families will own four-wheelers, or 3000/4000/100.

30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.

When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

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Which graph matches the system of equations

2x+3y=5
4x−5y=−1


Responses

Answers

The graph of equation is in image.

What are linear equations?

When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."

There are linear equations with one and two variables, respectively.

Given equations

2x + 3y = 5

4x - 5y = -1

For equation 1

2x + 3y = 5

The table of values appears as follows

x    1     -2    4

y    1      3    -1

Coordinates for equation 2

4x - 5y = -1

The table of values as thus

x    1     2    -4

y    1     1.8   -3

And the intersection point of equation is (1, 1)

Hence the graph of equation is intersecting at (1, 1).

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Which pair of functions have the same domain?
A. f(x)= cos x and g(x)= tan x
B. g(x)= tan x and f(x)= sec x
C. f(x)= sin x and f(x)= sec x
D. g(x)= tan x and f(x)= cot x

Answers

Answer is B. g(90)=tan90=undefined and f(90)=sec(90)=undefined

How do you solve this

Answers

The measure of angle TQW from the given figure is 25°.

What are perpendicular lines?

A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.

Given that, QT⊥PQR at Q, QW⊥QS at Q, and m∠SQP=25°.

From the given figure, m∠SQP+m∠SQT=90° -------(I)

m∠TQW+m∠SQT=90° -------(II)

Here, equation (I)=(II), we get

m∠SQP+m∠SQT=m∠TQW+m∠SQT

m∠SQP=m∠TQW

25°=m∠TQW

Therefore, the measure of angle TQW from the given figure is 25°.

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Determine how many solutions exist for this system of equations:
y = -3x+6
y=-3x – 5

A= No solution
B= One solution
C= infinity many
D= Two solutions

I’ve been having a few mistakes with substitution so pls help

Answers

Answer:

No Solution

Step-by-step explanation:

-3x+6=-3x-5

+5 +5

-3x+11=-3x

+3 +3

11=0

No Solution

This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
BCDF
Frequency
5
10
15
3
2
Find the probability that a student earns a
grade of A, B, or C.
p=[?]
Enter a decimal rounded to the nearest hundredth.

Answers

Answer:

85.71% probability

Step-by-step explanation:

30 of 35 of the students are in abc range so take 35/100% or 0.35 and go 30/0.35 and you get 85.71%

can someone help me do my homework

Answers

Answer:

(0, -8)

Step-by-step explanation:

Because the question asks for the y-axis intercept, the x coordinate will automatically be 0. Then we just look at where parabola intersects the y axis (-8), and that's the y coordinate. Finally, we put those two numbers together:

(0, -8)

Answer:

(0, -8)

Step-by-step explanation:

That is where the y-intercept happens.

Hope this helps! Please leave any questions or concerns in the comments. byeee <3

Find an equation for the line that passes through the points (-5, 2) and (3, 4)

Answers

Answer: y = 1/4x + 3.25

Step-by-step explanation:
1. Find the slope first using y2 - y1/ x2 - x1. This should look like 4 -2/ 3 - (-5), which can also be written as 4 - 2/ 3 + 5.

2. Simplify the fraction. This should look like 2/8, which can also be written as 1/4 once you divide it by 2.

3. Use the point-slope formula to find the y-intercept of the equation now. The formula is y2 - y1 = m (x2 - x1). Input either (-5, 2) or (3,4) into the equation. I'll use (3,4) as an example. After inputting that point, the equation would be y - 4 = 1/4 (x - 3).

4. Simplify this equation by distributing the 1/4 into the parentheses first. Once done, the equation will be y - 4 = 1/4x - 0.75.

5. Add 4 on both sides of the equation to get y by itself. After that the equation will be y = 1/4x + 3.25.

if u answer correct u r a math god its hard trust me

Answers

Answer:

27 square units

Step-by-step explanation:

Area of triangle = 1/2(b)(h)

Base = 6

Height = 9

1/2(6)(9)

1/2(54)

Area = 27 units

Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6

Answers

The required value of x is 17 for the given equation 11 = x - 6.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

11 = x - 6

We can determine the value of x by adding 6 to both sides of the equation.

As per the question, we have

⇒ 11 = x - 6

⇒ 11 + 6 = x - 6 + 6

⇒ x = 11 + 6

Apply the addition operation, and we get

⇒ x = 17

Therefore, the required value of x is 17.

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Samuel spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -14.7°F. Between 9am and noon, the temperature increased by 17.8°F. Between noon and 3pm, the temperature increased by 5.1°F. Between 3pm and 6pm, the temperature went down 14.5°F. What was the temperature at 6pm?​

Answers

Answer:

The temperature at 9 am = -14.7°F

Between 9am and 12 pm = -14.7 + 17.8 = 3.1°F

Between 12pm and 3 pm = 3.1+5.1 = 8.2°

Between 3pm and 6 pm = 8.2-14.5 = -6.3°F

In an animal shelter, the ratio of cats to dogs is 6 to 9. How many CATS were in the shelter 1 point
if there were 36 dogs at the shelter? please help !!

Answers

Answer:

24 cats

Step-by-step explanation:

The ratio of cats to dogs is 6:9. There are 36 dogs in the shelter. Let's make the number of cats x.

6:9=x:36

You multiply 4 with 9 to get 36, so you do the same for 6.

6 x 4 = 24

24 cats in the shelter

What are the two types of measurements of angles?

Answers

The two types of units that are used for the angle measurements are (d) degrees and radians .

The two types of Units of Measurements are Radians and Degrees ,

The unit Degrees is used to measure the direction and angle size. If the object is facing north, then the object is said to be at 0°. If the object turn the opposite direction to face south, then the object turned 180°.

A full circle comprises of 360 degree .

The Radian is an S.I. unit of measuring the angles , one radian is defined as angle made at center of a circle by an arc whose length is equal to radius of circle.

The value of 1 radian is approximately equal to 57.296 degree .

The given question is incomplete , the complete question is

What are two types of angle measurements ?

(a) metrics and radians

(b) radians and metrics

(c) degrees and metrics

(d) degrees and radians

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Simplify (4s^5t^-7/-2s^-2t^4). Write your answer using only positive exponents. Evaluate any numerical powers.
I'LL NAME YOU BRAINLIEST

please help!! ​

Answers

In positive exponents, the simplified form of the above polynomial is s⁷/t¹¹.

What is polynomial?

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here,

=4s⁵*t⁻⁷/-2s⁻²*-2t⁴

=s⁷/t¹¹

The simplified form of given polynomial is s⁷/t¹¹ in positive exponents.

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PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!

Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS

Answers

Answer:

F and C

Step-by-step explanation:

CUZ AAS means angle angle side

Answer:

see explanation

Step-by-step explanation:

for the triangles to be congruent by the angle- side- angle (ASA postulate )

if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle ( included side is the side between the vertices of the two angles ) , then the triangles are congruent.

given

∠ B ≡ ∠ D and AB ≡ PD

then the included sides are AB and PD

the other 2 angles for congruency are ∠ A ≡ ∠ P

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

By the AAS postulate

If two angles and a non included side of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent

for AAS then ∠ C ≡ ∠ F

what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25

Answers

Answer:

y = -1/5x - 31/5

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is x + 5y = 25.

First, let's put this in standard form of y = mx + b.

x + 5y = 25

Subtract x from both sides.

5y = -x + 25

Divide each term by 5.

y = -1/5x + 5

This line's slope is -1/5. A line parallel to this one will also have a slope of -1/5.

Plug this value (-1/5) into your standard point-slope equation of y = mx + b.

y = -1/5x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-6, -5). Plug in the x and y values into the x and y of the standard equation.

-5 = -1/5(-6) + b

To find b, multiply the slope and the input of x (-6)

-5 = 6/5 + b

Now, subtract 6/5 from both sides to isolate b.

-5 - 6/5 = b

-25/5 - 6/5 = b

-31/5 = b

Plug this into your standard equation.

y = -1/5x - 31/5

This equation is parallel to your given equation (y = -1/5x + 5) and contains point (-6, -5)

Hope this helps!

In conditional probability, the notation P(
AB) is read:
"The probability of event A occurring given that event B has
occurred."
For example: In the following two-way table
P(Walk to school Sophomore) = 37 (2 + 25 + 3) = 0.1
Grade Drive to school Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus Sophomore ) = [?]

Answers

Answer:

0.83

Step-by-step explanation:

It’s right use the formula they give you

The probability of a student taking the bus given that the student is sophomore is 0.83

Given that:

P(Walk to school | Sophomore) = 3 /(2 + 25 + 3) = 0.1

To cal culate the probability of a student taking the bus given that the student is sophomore, we make use of:

P(Take the bus | Sophomore ) = 25/(2 + 25 + 3)

Rewrite properly as:

[tex]Pr= \frac{25}{2 + 25 + 3}[/tex]

So, we have:

[tex]Pr= \frac{25}{30}[/tex]

Divide 25 by 30

[tex]Pr= 0.83[/tex]

Hence, the probability of a student taking the bus given that the student is sophomore is 0.83

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Write and solve the inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number.

negative one third is greater than or equal to negative two fifths y where y is greater than or equal to negative five sixths
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths
negative two fifths is greater than or equal to negative one third y where y is less than or equal to negative two fifteenths
negative two fifths is less than or equal to negative one third y where y is greater than or equal to two fifteenths

Answers

The inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number is: B. negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths.

What is an inequality?

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

Note: Let the variable y represent the unknown number.

Next, we would translate the word problem "negative one third is greater than or equal to the product of negative two fifths and a number" into an algebraic inequality as follows;

-1/3 ≥ -2/5 × y

-1/3 ≥ -2y/5

Multiplying both sides of the algebraic inequality by -5/2, we have:

-1/3 × -5/2 ≥ -2y/5 × -5/2

5/6 ≤ y

y ≥ 5/6.

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A cylinder has a diameter of 8 inches and a volume of 128 cubic inches.What is the height of the cylinder?

Answers

16,

You divide 128 ÷ 8

Multiply.
(x - 2)(x + 3)

Answers

I’m pretty sure the answer is x^2 + x - 6

Answer:

espero y te ayude esto de aquí

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