The lengths of the sides of a right triangle are 10 in., 24 in., and 26 in. What is the area of the triangle?

Answers

Answer 1

Answer:

[tex]Solution,\\Let~a=10in.,~b=24in.~and~c=26in.\\Semiperimeter(s) = \frac{a+b+c}{2}= \frac{10+24+26}{2} = 30in.\\Now,\\Area~of~triangle = \sqrt{s(s-a)(s-b)(s-c)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(30-10)(30-24)(30-26)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(20)(6)(4)} = \sqrt{14400}=120sq.inches[/tex]


Related Questions

What is the answer plwese help!?!"!.!

Answers

Answer:

768 in.

Step-by-step explanation:

Write an equation of the parabola in intercept form

Answers

Well let choose

(3,2,25)


y a(x)(x-4)

2. 25 = a (3)(3 - 4)

2.25 a(3)(-1)

a= 2.25/ -3

a= -0.75


So
The answer is y= -0.75(x)(x-4

help please, help me

Answers

Answer:

7.07 in^2 is what i got

please help
Professor Ivy’s students have the following scores on her Exam.

61 88 67 88 91 69 45 92 52 38 98

Find the mode value.

Answers

Answer:

88

Step-by-step explanation:

The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.

how would I do linear expression

Answers

Answer:

Linear expression is linear equations

Step-by-step explanation:

On a platter of chicken wings they are mild wings and hot wings in a representative sample of 10 chicken wings there are 5 mild wings if the platter has 90 chicken wings estimate the number of mild wings on the platter

Answers

Answer:

30 mild wings

Step-by-step explanation:

please help i reaaly need help

Answers

Answer:

6/65

Step-by-step explanation:

using the proper calculator, and through solving.

Help me pls I do not want to fail math.

Answers

Answer:

2a=3b

Step-by-step explanation:

b/a=2/3 not b/a =3/2

b/3=a/2 not b/2=a/3

2a/3=b not 3a/2=b

hope it's helpful ❤❤❤

THANK YOU

Solve the equation
-7=y/7

Answers

Answer:

y=-49

Step-by-step explanation:

A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50. A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.a.Find the t-statistic for a hypothesis test that is designed to answer the question.

Answers

Answer:

The t-statistic for a hypothesis test that is designed to answer the question is 2.4.

Step-by-step explanation:

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the saple and n is the size of the sample.

A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50.

This means that [tex]\mu = 50[/tex]

A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.

This means that [tex]X = 56, s = 25, n = 100[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

[tex]t = \frac{56 - 50}{\frac{25}{\sqrt{10}}[/tex]

[tex]t = \frac{6}{2.5}[/tex]

[tex]t = 2.4[/tex]

The t-statistic for a hypothesis test that is designed to answer the question is 2.4.

PLEASE ANSWER FOR BRAINLIEST!!!!!!!!!

You are choosing between two health clubs. Club A offers membership for a fee of $18 plus a monthly fee of $14. Club B offers membership for a fee of $21 plus a monthly fee of $13. After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?

In __ months the total cost of each health club will be the same.
The total cost for each health club will be $__.

Answers

Answer:

In 3 months the total cost of each health club will be the same.

The total cost for each health club will be $_60_.

Step-by-step explanation:

All the teachers at a school are either left footed or right footed.
At the school
the number of left footed teachers:the number of right footed teachers = 3:13
At the school, there are 18 left footed teachers.
How many right footed teachers are there?

Answers

Answer:

78

Step-by-step explanation:

Ratio of left-footed teachers to right-footed teachers = 3:13

18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)

13x6 = 78 (whatever you do to one side, you have to do the other)

78 right-footed teachers

The are 78 teachers are right footed.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The ratio of the number of left footed teachers: the number of right footed teachers = 3:13

Total left footed teachers = 18

let the Common ratio be x.

Then , number of left footed teachers= 3x

and, number of right footed teachers= 13x

So, 3x= 18

x= 6

Hence, there are 78 teachers are right footed.

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i need help
pls and thank you

Answers

It’s J the ratio is 1:6

find the slope of the line. (1,1) ,( 3,5)

Answers

Answer:

m=2

Step-by-step explanation:

5-1/3-1

4/3-1

4/2

2

I hope this helps

I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?

Answers

Answer:

He will earn $6 in interest in 9 months.

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 amount of 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.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

A standard amount for a tip in a restaurant is 35% of the meal cost. True or false

Answers

Answer: False

Step-by-step explanation:

it’s usually 20%

Answer:

False

Step-by-step explanation:

1. Normally it is 20%.

2. Move yous decimal one place to the left

3. Round this number to the next easy coin amount

4. Double that number

That is roughly 20%

Raj is 3 inches taller than Howard. Let h represent Howard’s height. Write an algebraic expression to represent Raj’s height.

Answers

Answer:

h + 3

Step-by-step explanation:

Since Raj is 3 inches taller than Howard (h), Raj would be h + 3 inches taller than Raj, giving you your answer.

Answer:

h + 3

Step-by-step explanation:

h + 3

3 = they are 3 inches TALLER which means you need to add 3

h = Howards height

So all you would need to do is add Howards age by 3, and you will get Raj's height. They said that " Raj is 3 inches taller than Howard", so that means when you get Howard (h) you would need to add it by 3 (3 inches taller), and you will be able to get Raj's height.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Choose all that apply: 4/6 + 2/3 =

Answers

Answer:

1.3 & 1/3

Step-by-step explanation:

Can someone please Help meeeee !!!!!​

Answers

Answer:

4

Step-by-step explanation:

x must equal 2 and 2 to the power of 2 is 4

Answer:

4

Step-by-step explanation:

Original equation: 3x-1=5

Add 1 on both sides: 3x=6

Divide by 3 on both sides: x=2

If x=2, then x^2 = 4.

Let me know if this helps!

How many unique triangles can be drawn side lengths of 5 inches and 6 inches, with an angle of 45 degrees bewteen the given sides?

Answers

Answer:

1

Step-by-step explanation:

SAS is one of the methods to define congruent triangles. When two sides and the angle between these two sides are specified, the triangle has been defined certainly.

Answer:

1

Step-by-step explanation:

becasue

V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?

Answers

Answer:

v=-5 and v=3

Step-by-step explanation:

We are given that

[tex]v^2-15=-2v[/tex]

We have to find  two solutions of quadratic equation.

[tex]v^2+2v-15=0[/tex]

Using addition property of equality

[tex]v^2+5v-3v-15=0[/tex]   (By using factorization method)

[tex]v(v+5)-3(v+5)=0[/tex]

[tex](v+5)(v-3)=0[/tex]

Substitute each factor equal to 0

[tex]v+5=0[/tex] and [tex]v-3=0[/tex]

[tex]v=-5[/tex] and [tex]v=3[/tex]

Hence, two solutions of quadratic equation are

v=-5 and v=3

a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tickets did they give away to employees​

Answers

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

Gary has to travel for work. He spent $128 on gas for his car last week.That is only 80% of what he usually spends per week.Hiw much does Gary spend on gas per week?

Answers

Answer: 48

Step-by-step explanation: all you have to do is subtract $128 by 80% that will equal 48

Your welcome!

Determine whether line c is a transversal of lines a and b. Explain your reasoning.
I WILL AWARD DA BRILLIANT AWORD THINGY

Answers

Answer:

Yes

Step-by-step explanation:

A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.

The required line C is a transversal of lines a and b.

What is a line?

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.

Thus, the required line C is a transversal of lines a and b.

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Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do not like chocolate. 40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends who like Chocolate (C) also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate

Answers

Answer:

The proportion of this group that likes chocolate is 0.625.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Likes sprinkles

Event B: Likes chocolate

25% of your friends who like Chocolate (C) also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.25[/tex]

40% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.4[/tex]

Of the friends who like sprinkles, what proportion of this group likes chocolate

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]

The proportion of this group that likes chocolate is 0.625.

I need help with percentages please.several stores in the mall are having a sale on jeans that cost $50 before any discount the table shows the discounts being offered ​

Answers

I can’t see the table

BONUS QUESTIONS 1. The number of books featured at the local library is shown below: MYSTERY BOOKS: 32 NOVELS: 16 NON-FICTION BOOKS: 12 The library is hosting a book fair that features the mystery books. All the authors discuss the same number of mystery books and each will discuss more than 1 book. How many authors could be featured in the show?​

Answers

Answer:

I don't get the question

Step-by-step explanation:

On a number line, the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the
directed line segment from Q to Sin a 3:5 ratio.
Which expression correctly uses the formula [m/m+n](x2-x1)+x1 to find the location of point R?

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

Using m=3, n=5, x2=2, x1=-14, the only match is the first one.

The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]

Midpoint of a line

The formula for expressing the midpoint of a line is expressed as:

[tex]M=\frac{m}{m+n} (x_2-x_1)+x_1[/tex]

Given the following parameters

m=3,

n=5,

x2=2,

x1=-14,

Substitute

[tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]

This given the correct expression for the point on the line

Learn more on midpoint here: https://brainly.com/question/18315903

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Your answer
1 point
Practice Question #7: There are 24 students in Ms. Watters Social Studies
class. 5/8 of these students earned an A on the geography unit
assessment. How many students earned an A? (enter only the number) *

Answers

Answer: 15

Step by step explanation: 5 Divided by 8 then you multiply by 24. The method I just explained is known as cross multiplication!

? Help if you know how to do this

Answers

Answer:

[tex]x = 2.5[/tex]

Step-by-step explanation:

Given

[tex]AC = 2x - 1[/tex]

[tex]AB = 2x + 1[/tex]

[tex]BC = 2\sqrt{7[/tex]

[tex]\angle A = 60^{\circ}[/tex]

Required

Find x

To find x, we make use of cosine formula which states:

[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]

In this case:

[tex]BC^2 = AB^2 + AC^2 - 2*AB*BC*CosA[/tex]

Substitute values

[tex](2\sqrt{7})^2 = (2x + 1)^2 + (2x-1)^2 - 2*(2x + 1)*(2x - 1)*Cos(60^{\circ})[/tex]

Evaluate all exponents

[tex]4*7 = (4x^2 + 4x + 1)+(4x^2 - 4x + 1) - 2(4x^2 - 1)*cos(60^{\circ})[/tex]

Open brackets

[tex]28 = 4x^2 + 4x + 1+4x^2 - 4x + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Collect Like Terms

[tex]28 = 4x^2 +4x^2+ 4x - 4x+ 1 + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Substitute 0.5 for cos(60)

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*0.5[/tex]

Open bracket

[tex]28 = 8x^2+ 2 - 4x^2 + 1[/tex]

Collect Like Terms

[tex]8x^2- 4x^2 + 2 + 1 - 28 = 0[/tex]

[tex]4x^2 -25 = 0[/tex]

Collect Like Terms

[tex]4x^2 =25[/tex]

Divide both sides by 4

[tex]x^2 =\frac{25}{4}[/tex]

[tex]x^2 =6.25[/tex]

Take positive square root of both sides

[tex]x = \sqrt{6.25[/tex]

[tex]x = 2.5[/tex]

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