Use Heron's formula to find the area of the triangle. Round to the nearest square unit.

a = 8 inches, b = 13 inches, c = 7 inches

Group of answer choices

39 square inches

23 square inches

21 square inches

41 square inches

Answers

Answer 1

Answer:

24.25 in²

Step-by-step explanation:

s = (a + b + c)/2 = (8 + 13 + 7)/2 = 14 in

s - a = 6, s - b = 1, s - c = 7

so

the area = [tex]\sqrt{14\times6\times1\times7}=24.25[/tex]


Related Questions

Which of the following statements are true about the equation below?
22 - 61 + 2 = 0
The solutions are = -3 17
The extreme value is at the point (3,-7).
o o o o o
The graph of the quadratic equation has a maximum value.
The graph of the quadratic equation has a minimum value.
The solutions are = 3 + 17
The extreme value is at the point (7,-3).

Answers

Answer:

Option 1, 2, 5 are the correct answer.

1. Find a markdown of 1/9 on $450?

2. 15 is what percent of 60?

3. 124% of 10 represents a certain number. What is that number?

Answers

Step-by-step explanation:

1. 1/9 of 450

of is multiply

1/9 × 450

= ???

2. 15/60 = decimal number

change number to percentage = ???

I dont know what 3 is

put answers to 1 and 2 in comments i will mark if u don't understand comment

please mark brainiest

can someone answer these questions?

Answers

Answer:

The first question I got 1056.25

Step-by-step explanation:


‼️‼️3) Brad was going to make
$53.85 a day for 5 days in his
new job. He figured that he
would make about $350.00. Is
this a reasonable answer?
Explain why or why not.‼️

Answers

It is not reasonable because 53.85 x 5 is 269.25 which isnt close to 350

If x – 4y = 6 is a true equation, what would be the value of – 4y + x?​

Answers

Answer:

6

Step-by-step explanation:

it's basically the same equation just different arrangement

riders must be 48 inches tall to get on a new ride at an amusement park. there are 12 inches in 1 foot. some amusement parks use meters for the minimum height of riders. about how many meters are equivalent to 48 inches?​

Answers

Answer: Around 1.2 meters

Step-by-step explanation:

Identify the quadratic function(s). (Select all that apply). y(y + 4) - y = 6 (3x + 2) + (6x - 1) = 0 4b(b) = 0 3a - 7 = 2(7a - 3)

Answers

Answer:

[A] y(y + 4) - y = 6

[C] 4 b (b)=0

Step-by-step explanation:

First let know what is a quadratic functions(s):

A function is called Quadratic if it consist of  only one variable, maximum of three terms, and highest degree of the variable  in that Polynomial is 2.

Now let's go through the answer choices:

[A]  

y *(y+4) - y =6

y² + 4 y - y -6=0

y²+3 y -6=0

Thus, This is Quadratic Function.

[B]

3 x +2 + 6 x -1=0

9 x-1=0

Thus, This is not Quadratic Function

[C]

4 b*(b)=0

4 b²=0

Thus, This is Quadratic Function.

[D]

3 a- 7 =2 * (7 a-3)

3 a - 7=14 a - 6

3 a - 14 a = 7 -6

-11 a =1

Thus, This is not a Quadratic Function.

Hence, [A] and [C] are quadratic functions.

[RevyBreeze]

Evaluate
x(y+3)
_____
(3+y)z
for x = 12, y = 1, and z = 6

A.5
B.6
C.8
D.2

Answers

Answer:

12(1+3)

6(3+1)

12(4)

6(4)

48

24

answer = 2

I need HELP please solve the blank space. It says that it isn’t 100 so I need HELP!!

Answers

yeah 5 is 5% of 100 i dunno bro

if anything try .25

sorry

What is the answer to
Solve n/4 -8 =-6

Answers

2hdhshdhdhdhhdhdehhr

Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?

Answers

Answer:

25%, 50%, 12.5%,12.5%

Step-by-step explanation:

6/24

3/24

12/24

3/24

Which Box-and-Whisker Plot below correctly illustrates the data shown below? {22, 24, 24, 25, 26, 26, 27, 28, 28, 30} A. B. C. D.

Answers

b i your answer i know it

Step-by-step explanation:

The 3rd Box-and-Whisker Plot correctly depicts the data given.

What is a expression? What is a mathematical equation? What is a box and whisker plot?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread and skewness groups of numerical data through their quartiles.

We have the Box-and-Whisker Plots for the data -

{22, 24, 24, 25, 26, 26, 27, 28, 28, 30} shown in the image.

We can identify the boxplot by the median calculation easily. We can find the median of the given data set as -

[M] = (26 + 26)/2 = (2 x 26)/2 = 26

Therefore, the 3rd Box-and-Whisker Plot correctly depicts the data given.

To solve more questions on Box-and-Whisker Plots, visit the link below

https://brainly.com/question/26963285

#SPJ2

find the rate of change from the equation y=-7/8x+3​

Answers

Answer:

-7/8

Step-by-step explanation:

rate of change is the same as slope so -7/8

Answer:

-7/8

Step-by-step explanation:

find the rate of change from the equation:

y = -7/8x + 3

use the formula: y = mx + b

where:

y = how far up the line goes

m = slope

x = how far along

b = Y-intercept

so the rate of change is the same as the slope

therefore, the slope = -7/8

What is the answer to 5+{2×[(5−1)+6]}÷4 with no frations

Answers

Answer:

15.5

Step-by-step explanation:

5+2x5-1+6/4=15.5

using a calculator this answer is correct.

NO LINKS!!! Solve each triangle. Part 3aa
NOT A MULTIPLE CHOICE!!

1aa. B=10°, C=100°, b= 2
2bb. A= 40°, B= 40°, c= 2
3cc. A= 110°, C= 30°, c= 3​

Answers

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

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

Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

A = 70°

[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]

[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]

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

Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

C = 100°

[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]

[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

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

Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

B = 40°

[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]

[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]

Find the interest on a $6000 loan at 4% for 5 years.

Answers

Answer:

6000/1+0.04 power of 5

= 32,269.44

Which of the following is a correct interpretation of the expression -4- (-7)?
Choose 1 answer:
А
The number that is 4 to the left of - 7 on the number line
B
The number that is 4 to the right of - 7 on the number line
The number that is 7 to the left of -4 on the number line
D
The number that is 7 to the right of -4 on the number line

Answers

Answer:

D the number 7 to the right of -4 on the number line

tHiS qUeStIoN iS EaSy ToO. pLeAsE hAlP.

Answers

answer: 41/10 or 4.1 or 4 1/10

explanation: multiple each fraction by the number on the bottom and simplify.

Answer:

41/10 or 4.1......

Step-by-step explanation:

How do I solve 5/9x+ 6=10?

Answers

Get x alone by subtracting 6 from both sides to get 5/9x=4 then you times both sides by 9/5 to get x alone 4x9/5 is 7.2 or 7 2/10 so x=7 2/10

Answer:

x = 36/5, 7 1/5, or 7.2 (all same, just in different form)

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

[tex]\frac{5}{9}x+6-6=10-6[/tex] [tex]\frac{5}{9}x=4[/tex]

Step 2: Multiply both sides by 9/5.

[tex]\frac{5}{9}x*\frac{9}{5} =4*\frac{9}{5}[/tex] x = 36/5, 7 1/5, or 7.2

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Consider a Poisson distribution with a mean of two occurrences per time period. a. Which of the following is the appropriate Poisson probability function for one time period? 1 2 3 - Select your answer - b. What is the expected number of occurrences in three time periods? c. Select the appropriate Poisson probability function to determine the probability of occurrences in three time periods. 1 2 3 - Select your answer - d. Compute the probability of two occurrences in one time period (to 4 decimals). e. Compute the probability of six occurrences in three time periods (to 4 decimals). f. Compute the probability of five occurrences in two time periods (to 4 decimals)

Answers

Answer:

F(k) = 2k e-2 / k!

Mean =µ = 2 x 3 = 6

f(k) = 6k e-6 / k!

F(2) = 22 e-2 / 2!

        = 0.2707

F(6) = 66 e-6 / 6!

        = 0.1606

f(5) = 45 e-4 / 5!

      = 0.1563

Step-by-step explanation:

Solution:

Given:

Mean = µ = 2 per time period

Poisson probability:

F(k) = µk e-µ / k!

(a) Poisson probability for one time period.

Put µ = 2 in formula, we get:

F(k) = 2k e-2 / k!

(b) Expected number of occurrence in three time period.

Mean of one time period is multiply with number of time period.

Mean =µ = 2 x 3 = 6

     

(c) Probability of occurrence in three time period.

Put the value of µ = 6 in the given formula, we get:

f(k) = 6k e-6 / k!

(d) Probability of two occurrences in one time period.

Put k = 2 in given formula:

F(2) = 22 e-2 / 2!

        = 0.2707

(e) Probability of six occurrences in three time period.

Put k = 6, in given formula, we get:

F(6) = 66 e-6 / 6!

        = 0.1606

(f) Probability of five occurrences in two time period.  

Mean of one time period is multiply by the number of time periods.

µ = 2 x 2 = 4

put k = 5 and µ = 4 in formula, we get:

f(5) = 45 e-4 / 5!

      = 0.1563

What is the scale factor of the reduction?


GIVEING BRAINLY 3

Answers

y=0.5x=2.5

Scale factor

[tex]\\ \rm\rightarrowtail k=\dfrac{y}{x}[/tex]

[tex]\\ \rm\rightarrowtail k=\dfrac{0.5}{2.5}[/tex]

[tex]\\ \rm\rightarrowtail k=\dfrac{1}{5}[/tex]

Lily invested $60,000 in an account paying an interest rate of 6 1 2 6 2 1 ​ % compounded continuously. Lydia invested $60,000 in an account paying an interest rate of 6 1 8 6 8 1 ​ % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Lydia's money to triple than for Lily's money to triple?

Answers

Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

What is the amount in continuous compounding?

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:

[tex]A(t) = Pe^{rt}[/tex]

[tex]3P = Pe^{0.065t}[/tex]

[tex]e^{0.065t} = 3[/tex]

[tex]\ln{e^{0.065t}} = \ln{3}[/tex]

[tex]0.065t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.065}[/tex]

[tex]t = 16.90[/tex].

For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}[/tex]

[tex](1.00510416667)^{12t} = 3[/tex]

[tex]\log{(1.00510416667)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.00510416667)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.00510416667)}}[/tex]

[tex]t = 17.98[/tex]

17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.

More can be learned about interest equations at https://brainly.com/question/25781328

One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

4[tex]\sqrt{2\\[/tex] or 5.7

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

4[tex]\sqrt{2\\[/tex] or 5.7


1. A room is 5 m by 3m. What is the area of the room?​

Answers

Answer:

15m2 is the answer my friend.....

Answer:

Step-by-step explanation:

All you would do is multiply the length and the width, so you would multiply 5m by 3m and get 15m as your answer.

Please help me with this , I hope it's easier. ​

Answers

Hi! I hope you're enjoying your day!

Let's add the following polynomials.

How to add them? Just combine like terms. :)

[tex]\bold{2x^2-10x+1 ~and~x^2+15x-8}[/tex]

[tex]\bold{2x^2+x^2-10x+15x+1-8}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{3x^2+5x-7}}}[/tex]

[tex]\rule{250}{2}[/tex]

[tex]\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\[/tex]

Combine Like terms:

[tex]\bold{2x^3-3x^3-3x^2+5x^2+5+7}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{-x^3+2x^2+12}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

12——4
24——8
36——12
48——
What number complete the sequence

Answers

Answer:

I think it's 16

Step-by-step explanation:

your adding 4

16
Reason: every time you add 12 on the left you add 4 on the right

what is the answer to 15x+6y

Answers

Answer:

x = -0.4y

Step-by-step explanation:

Simplifying

15x + 6y = 0

Solving

15x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

15x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

15x + 0 = 0 + -6y

15x = 0 + -6y

Remove the zero:

15x = -6y

Divide each side by '15'.

x = -0.4y

Evaluate the expression 2x2 - y + 3x" for x = 3 and y = 7.
o 14
098
оо
0 12
032

Answers

Answer:

20

Solution:

The expression to be evaluated:

2x² - y + 3x

For,

x = 3 y = 7

First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.

On putting the values of x and y in the given expression:

‎ㅤ‎ㅤ 2x² - y + 3x

‎ㅤ‎ㅤ 2× ( 3 )² - 7 + 3 × 3

‎ㅤ‎ㅤ ( 2 × 9 ) - 7 + 9

‎ㅤ‎ㅤ 18 - 7 + 9

‎ㅤ‎ㅤ 11 + 9

‎ㅤ‎ㅤ 20

Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal now?

Answers

Answer:

Kelsey has 8 plus more entries

8 + x

What is the area, I need help? Someone pls help

Answers

Answer:

The area of this figure is  106 square meters

Step-by-step explanation:

7*4=28

(10*5)

50+28+28= 106 sq meters

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