Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12

oof

Answers

Answer 1

Answer:

4 5 7

Step-by-step explanation:

i know it

Answer 2

Answer:

Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

Step-by-step explanation:

Given: Set of numbers.

To find: Set that represent sides of an acute angled traingle.

We use the following result:

When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.

First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.

if sum > Square of last side ⇒ it is Acute Triangle

if sum = Square of last side ⇒ it is Right Triangle

if sum < Square of last side ⇒ it is Obtuse Triangle  

a). 4  , 5 , 7

4² = 16 ,  5² = 25 , 7² = 49

16 + 25 = 41

∵ 41 < 49

⇒ It is an Obtuse Traingle.

b). 5 , 7 , 8

5² = 25 , 7² = 49 , 8² = 64

25 + 49 = 74

∵ 74 > 64

⇒ It is an acute Triangle.

c). 6 , 7 , 10

6² = 36 , 7² = 49 , 10² = 100

36 + 49 = 85

∵ 85 < 100

⇒ It is an Obtuse Triangle.

d). 7 , 9 , 12

7² = 49 , 9² = 81 , 12² = 144

49 + 81 = 130

∵ 130 < 144

⇒ It is an Obtuse Triangle.

Therefore, Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.


Related Questions

7 A polygon has the following coordinates: A(2,-2), B(-4,-4), C(-4,-1), D(-2,3), E(1,3), F(2,5). Find the length of BC. A. 4 units B. 5 units C. 3 units D. 2 units Reset Submit Coordinate Geometry Tools Save Session Questions: 0 of 10 Answered 1 2 3 4 5 6 7 8 9 10 Answered Current Unanswered 6 of 10 Answered Session Timer: 5:33 Session Score: 33% (2/6)

Answers

Answer:

B.

Step-by-step explanation:

Well to find BC, you have to know B and C

B = (-4, 4)

C = (-4, -1)

The distance is:

√(4 + 1)^2 + (-4 + 4)^2

√25

5

Answer:

5 units

Step-by-step explanation:

What you know about rollin' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that poop in slow motion, yeah

I feel like an astronaut in the ocean, ayy

Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When Javier was 15, the account had a total of $1012.50 interest paid on it. How much did Javier's parents set aside when he was born

Answers

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

[tex]E = 1012.50, t = 15, I = 0.045[/tex]

We have to find P. So

[tex]E = P*I*t[/tex]

[tex]1012.50 = P*15*0.045[/tex]

[tex]P = \frac{1012.50}{15*0.045}[/tex]

[tex]P = 1500[/tex]

Javier's parents set aside $1500 when he was born

Which factorization is equivalent to this expression?

30x + 70



Answer 10(3x+7)


Hopes this helps.

Answers

Answer:

[tex]10(3x+7)[/tex]

Step-by-step explanation:

we have the expression:

[tex]30x + 70[/tex]

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

[tex]10*3=30\\10*7=70[/tex]

so we can substitute this into the expression:

[tex]10*3x+10*7[/tex]

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

[tex]10(3x+7)[/tex]

Answer:

The Answer is 10(3x+7)

Step-by-step explanation:

4 1/2 + 2 3/4 + 1.5 + 2.25 + 2 + 2 1/2?

A. 16.25
B. 15
C. 14.5
D. 15.5

Answers

Answer:

14.5

Step-by-step explanation:

⇒4[tex]\frac{1}{2}[/tex] + 2[tex]\frac{3}{4}[/tex] + 1.5 + 2.25 + 2 + 2[tex]\frac{1}{2}[/tex]

⇒ 4.5 + 2.75 + 1.5 + 2.25 + 2 + 2.5

⇒ 14.5

Hope this helps!!!

What is the probability of selecting a jack then a 4 from a deck of cards
with replacement?

Answers

Answer:

[tex]\frac{4}{663}[/tex]

Step-by-step explanation:

A standard deck without jokers is 52 cards. Selecting a Jack would have a [tex]\frac{1}{13}[/tex] chance.

Then to select a 4 without replacing the Jack you took, you would have a [tex]\frac{4}{51}[/tex] chance.

[tex]\frac{1}{13}*\frac{4}{51}=\frac{4}{663}[/tex]

Answer:

1/169.

Step-by-step explanation:

Prob( a jack) = 4/52 = 1/13

Prob( a 4) = 4/52 = 1/13

Required probability = 1/13 * 1/13

= 1/169.

Please answer question on attached sheet! x

Answers

Answer:

=7

Step-by-step explanation:

use Pythagorean.

7,24 ,25

Answer:

x=7

Step-by-step explanation:

we use physagorian law

b²+x²=a²

x²=a²-b²

25²-24²=x²

x²=49

x=7

Out of a survey of 49 randomly chosen students 12 said they were going to attend a concert predict the number the number of students who attend the school

Answers

Answer:

Option C is correct.

The number of students who attend the school is approximately 980.

Step-by-step explanation:

The complete question is presented in the attached image to this question

It is known that 240 students bought concert tickets. That is, 240 students are attending the concert.

But out of a randomly chosen 49 students, 12 say that they are going for the concert.

Using the sample for a prediction or an approximation, the proportion of total number of students going for the concert = (12/49) = 0.245

Let x be the total number of students that attend the school.

This translates to the fact that

(0.245 × x) = 240

x = (240/0.245)

x = 979.6 = 980 to the nearest whole number.

Hope this Helps!!!

Answer: 613 students.

Step-by-step explanation:

Your question does not include the number of tickets sold as that will enable us to find out the number of students.

For that reason I will assume a number and you will then get a reference on how to solve this question.

Let us assume that 150 tickets were sold.

Now if 12 students out of a sample of 49 said they were going to attend and 150 tickets were sold, that means 150 tickets is the number of students that went from the general population.

This means that 12/49 should give us the same as 150/x with x being the total population of the school.

Solving for x,

12/49 = 150/x

12x = 150 * 49

12x = 7,350

x = 7,350 / 12

x = 612.5

x = 613 students.

You are given f(x)=-5x2+10x-5
A) Express the function in factored form AND determine the vertex
B) Identify the zeros, the axis of symmetry, and the direction of opening
C) State the domain and range

Answers

Answer:

B

Step-by-step explanation:

A)  The function in factored form is -5(x - 1)² and the vertex is (1, 0).

B)  The zeroes are x = 1, the axis of Symmetry is x = 1 and the direction of the opening is downward.

C)  The domain of the function is all real numbers and the range is

(-∞, 0].

We have,

A)

Factoring out the common factor (-5):

f(x) = -5(x² - 2x + 1)

The equation x² - 2x + 1 can be factored as (x - 1)(x - 1) or simply (x - 1)²:

f(x) = -5(x - 1)²

The equation of a quadratic function:

f(x) = a(x - h)² + k

In this case,

a = -5, h = 1, and k = 0 (since there is no constant term).

So, the vertex of the function is (h, k) = (1, 0).

B)

To find the zeros of the function, we set f(x) = 0 and solve for x:

-5(x - 1)² = 0

(x - 1)² = 0

Taking the square root of both sides:

x - 1 = 0

x = 1

The axis of symmetry is a vertical line that passes through the vertex of the parabola.

In this case, the axis of symmetry is x = 1.

The direction of the Opening:

Since the coefficient of the x² term is negative (-5), the parabola opens downward.

C)

The domain of the function f(x) is all real numbers since there are no restrictions or limitations on the possible input values of x.

The parabola opens downward and the vertex is at (1, 0), the range of the function is all real numbers less than or equal to 0.

The range can be expressed as (-∞, 0].

Thus,

A) The function in factored form: -5(x - 1)², Vertex: (1, 0).

B) Zeros: x = 1, Axis of Symmetry: x = 1, Direction of Opening: Downward.

C) Domain: All real numbers, Range: (-∞, 0].

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Solve for xxx. Write the smaller solution first, and the larger solution second. Round to two decimal places. (x + 3)^2 - 3 = 0

Answers

Answer:

x=-4.73 and -1.26

Step-by-step explanation:

We need to solve the given equation for x.

[tex](x + 3)^2 - 3 =0[/tex]

Solving the above equation using formula (a+b)² =a²+2ab+b²

[tex](x + 3)^2 - 3 =0\\\\x^2+9+6x-3=0\\\\x^2+6x+6=0[/tex]

It is a quadratic equation.

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We have, a = 1, b = 6 and c = 6

[tex]x=\dfrac{-6\pm \sqrt{(6)^2-4\times 1\times 6} }{2\times 1}\\\\x=\dfrac{-6+\sqrt{(6)^{2}-4\times1\times6}}{2\times1},\dfrac{-6-\sqrt{(6)^{2}-4\times1\times6}}{2\times1}\\\\x=-1.267, -4.73[/tex]

So, the values of x are -4.73 and -1.26

Identify all values that are irrational.
-1/3
-3
13
Pi/3​

Answers

Answer:

pi/3  irrational

Step-by-step explanation:

A rational number is the ratio of two integers

-1/3 is two integers  rational

-3 can be written as -3/1  rational

13 can be written as 13/1  rational

pi/3  pi itself is irrational  and cannot be written as an integer

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store sells plastic plates in packages of fteen for ve dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?

Answers

The question is incomplete:

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?

Answer:

-The Webster family needs to buy 7 packages.

-The cost of the plates is $41.93.

Step-by-step explanation:

To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:

100/15= 6.66

According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.

Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:

$5.99*7= $41.93

The cost of the plates is $41.93.

whats the theoretical probability of popping a polka dot balloon? express your answer as a fraction, decimal and percent



solid 15

polka dot 5

striped 17
PLZZ HELP ME DUE TOMORROW

Answers

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

       


VOLUME of Rectangle !!
Fill in the blanks -------

1. Length is 6.0, Width is 3.2, HEIGHT ?? ( ANSWER ) total volume 96 cm .
FIND THE HEIGHT HERE !!

2.LENGTH ?? ( ANSWER ) width is 2.0, height 1.1 total volume 22 cm .
FIND THE LENGTH HERE !!

3. length is 12.0, WIDTH ?? ( ANSWER ), Height is 4.0 and the total volume is 120 cm.
FIND THE WIDTH HERE !!

PLEASE....HELP !!! WRITE PROPERLY PLEASE... CORRECT ANSWER PLSS...

Answers

Answer:

see below

Step-by-step explanation:

V = l*w*h

1. V = l*w*h

96 = 6*3.2 h

96 = 19.2h

Divide each side by 19.2

96/19.2 =h

h = 5

2. V = l*w*h

22 = l*2 *1.1

22 = 2.2l

Divide each side by 2.2

22/2.2 =l

10 = l

3. V = l*w*h

120 = 12*w *4

120 = 48w

Divide each side by 48

120/48 = w

w =2.5

What is x? I really dont get it please help

Answers

25

Vertical angles are congruent/equal :

Answer:

25°

Step-by-step explanation:

Because its equal to the angle across it.

Evelynn has a home that was recently appraised for $127,000, and the balance on the existing mortgage is $88,350. If a bank is willing to loan up to 75% of the appraised value, calculate the potential amount of credit available on a home equity loan.

Answers

Answer:

$6,900

Step-by-step explanation:

To calculate the potential amount of credit available on the home equity loan, first you have to calculate 75% of the appraised value:

$127,000*75%= $95,250

Then, as Evelynn has an existing mortgage, you have to subtract this amount from $95,250:

$95,250-$88,350= $6,900

According to this, the answer is that the potential amount of credit available on a home equity loan is $6,900.

Which of the following equations has the same solution as m - (-62) = 45?

1.)25 - x = 8
2.)120 + x = 13
3.)120 - x = 13
4.)x + 25 = 8

Answers

Answer:

the answer to this is option 4.

Answer:

4, x = -17

Step-by-step explanation:

Pleaaase helppp i will mark brainly

Answers

Answer:

C. x = 6

Step-by-step explanation

since we have a right triangle then we can apply the Pythagorean theorem:

x² + 8² =10²

⇒ x² = 10² - 8²

⇒ x² = 36

⇒  x² = 6²

⇒ x = 6  (because x is positive)

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.

What is the sum of net exports for Germany and China ?
a.
-80 billion dollars
c.
90 billion dollars
b.
180 billion dollars
d.
150 billion dollars

Answers

Answer:

d.) 150 billion dollars

Step-by-step explanation:

As per the given bar graph, we can draw the following conclusions:

Net exports for United States = ~ -110 Billion Dollars (It means import of 110 Billion Dollars)

Net exports for Denmark = ~ -30 Billion Dollars (It means import of 30 Billion Dollars)

Net exports for China = ~ 115 Billion Dollars

Net exports for Germany = ~ 35 Billion Dollars

We have to find the sum of net exports of Germany and China:

[tex]\Rightarrow[/tex] 35 + 115 = 150 Billion Dollars.

Hence, correct answer is d. 150 Billion Dollars.

Answer: d

Step-by-step explanation:

150 billion dollars

A customer buys a CD for $15 and a video game. The customer pays a total of $42.80 for the two items, which includes 7% sales tax. Which equation can be used to find x, the cost of the video game before tax?

Answers

Answer:

Step-by-step explanation:

Let x represent the cost of the video game before tax.

A customer buys a CD for $15 and a video game. The expression for the total cost of both items before tax is

15 + x

The customer pays a total of $42.80 for the two items. This includes 7% sales tax. The amount of tax paid by the customer for both items would be

7/100 × 42.8 = $2.996

The amount paid for the items before tax would be

42.8 - 2.996 = 39.804

Therefore, the equation that can be used to find x, the cost of the video game before tax is

15 + x = 39.804

Answer:

B

Step-by-step explanation:

Can you please help please please help me with this question i will give you a Brainiest

Answers

Answer:

They are all even

Step-by-step explanation:

the nth term of a sequence is 8(n+3)
what are the first four terms?

Answers

Answer:

32, 40, 48, 56

Step-by-step explanation:

[tex]a_n= 8(n+3)...(given) \\\\ a_1= 8(1+3) = 8 \times 4 = 32 \\ \\ \: a_2= 8(2+3) = 8 \times 5 = 40 \\ \\ a_3= 8(3+3) = 8 \times 6 = 48 \\ \\ a_4= 8(4+3) = 8 \times 7 = 56 \\ [/tex]

You randomly draw a marble out of a bag that contains 202020 total marbles. 121212 of the marbles in the bag are blue. What is \text{P(draw a blue marble})P(draw a blue marble)start text, P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, end text, right parenthesis? If necessary, round your answer to 222 decimal places.

Answers

Answer:

0.60

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;

Probability = Expected outcome of event/total outcome of event

If a bag contains 20 total marbles, then the total outcome of event is 20.

If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.

Probability of drawing a blue marble P(draw a blue marble)= 12/20

= 0.60 (to 2dp)

x²-5x divided by 2
= 0​

Answers

Answer:

x = 10, x = 0

I dont know if you wanted an answer but yeah-

(x^2-5x)/2=0
x^2-5x=0x2
x^2-5x=0
x(x-5)=0
Either, x=0 or x-5=0
x=0 or x=5

Mrs. P made a large batch of clay. She gave out all of the clay in equal parts to 6 teachers. Each of those teachers gave out all of the clay they received. They each gave equal parts to 6 teachers. ​How many students received part of Mrs. P batch of clay?

PLEASE NEED HELP AND STEPS

Answers

Answer:

36 student gets the equal amount of Clay by Mrs p

The answer should be 36 students

(Mark 1) Frequency x+2
(Mark2) Frequency x+1
(Mark3) Frequency x+5
(Mark4) Frequency 2x-5
(Mark5) Frequency x-1
If the average
the to 3 sf
mark is
73 /25Find
a) The variance
b) The Standard deviation
c( Coefficient of Variation​
100 points to be given to the correct answer

Answers

:

-by-step explanation:

Solve the quadratic equation: x^2+4x+17=8-2x

Answers

Answer:

-3

Step-by-step explanation:

Please help it’s urgent!! Find the sine, cosine and tangent of angle B. Leave answers as reduced fractions.

Answers

Answer:

sin(B) = 4/5

cos(B) = 3/5

tan (B) = 4/3

Step-by-step explanation:

soh cah toa

^^ they got it right

Explain how would you find 4% sales tax on a pair of sneakers that cost 54.99. You don't have to calculate it. Just explain how you would find it.

Answers

Answer:

2.2

Step-by-step explanation:

4% of 54.99 = 0.04*54.99

What is a 3 sided polygon with at least two sides the same length??

Answers

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

Answer:

Triangle Isosceles

Step-by-step explanation:

Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght

Can someone help me with this? (Will give brainliest)

Answers

(7, 14)
(10, 20)
(13, 26)

Answer:

In order, 10, 14, (7, 14), (10, 20)

Step-by-step explanation:

The slot for C - Number of Beads is 10

This is because the patern is that it is increasing by 3.

The slot for B - Length of Neclace (cm) is 14

This is because the patern is that it is X2 from the Number of Beads.

The slot for B - Ordered Pairs is (7, 14)

This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.

The slot for C - Ordered Pairs is (10, 20)

(See the explanation above)

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