Mathematics College

Q23: Problem-solving
Work out the area of this triangle.

Answers

Answer 1

The area of the triangle is 11.1 square cm

How to determine the area of the triangle?

From the question, we have the following parameters that can be used in our computation:

Legs = 3cm and h cm

Hypotenuse = 8 cm

The area of the triangle is calculated using

Area = 0.5 * b * h

Where

h = √(8² - 3²) --- this is gotten from the Pythagorean theorem

So, we have

h = 7.4

The area is then calculated as

Area = 0.5 * b * h

So, we have

Area = 0.5 * 3 * 7.4

Evaluate

Area = 11.1

Hence, the area is 11.1 square cm

Related Questions

Solving linear equations by substitution y=5x-7 -3y-2y=-12

Answers

By using the substitution method, the value of x is equal to -1.94 and the value of y is 2.71.

How to solve this system of linear equations?

In order to solve the given system of linear equations, we would apply the substitution method. From the information provided in the question above, we have the following system of linear equations:

y = 5x - 7 .......equation 1.

3y - 2x = -12 .......equation 2.

By using the substitution method to substitute equation 1 into equation 2, we have the following:

-3(5x - 7) - 2x = -12

-15x + 21 - 2x = -12

-17x = -12 - 21

17x = -33

x = -33/17 or -1.94

For the value of y, we have:

y = 5(-33/17) - 7

y = -165/17 - 7

y = 2.71

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write and simplify an expression to find the total cost of X pencils one poster board and one notebook

Answers

Answer:

xp + b + n

Step-by-step explanation:

Let "x" represent the amount of pencils needed to be bought

Let "p" represent the cost of 1 pencil

Let "b" represent the cost of one poster board

Let "n" represent the cost of one notebook

Since there is only one poster board and notebook being bought, they do not need a variable in front of their cost.

Please help!! Thank you!!!!

Answers

Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

Sec one on your computer

HELP I NEED IT DONE IN 5 MINS!! I WILL GIVE BRAINIEST!
A group of students were surveyed to find out if they like walking pets and/or mowing lawns during the holidays. The results of the survey are shown below:

25 students like walking pets
4 students like walking pets but do not like mowing lawns
23 students like mowing lawns
7 students do not like walking pets

Four students created the tables below to represent the data. WP represents walking pets and ML represents mowing lawns.

Sam
Like WP Do Not Like WP Total
Like ML 2 21 23
Do Not Like ML 5 4 9
Total 7 25 32
Brenda
Like WP Do Not Like WP Total
Like M 21 2 23
Do Not Like ML 4 5 9
Total 25 7 32
Cathy
Like WP Do Not Like WP Total
Like ML 23 2 25
Do Not Like ML 4 5 9
Total 27 7 34
Nathan
Like WP Do Not Like WP Total
Like ML 2 23 25
Do Not Like ML 5 4 9
Total 7 27 34

I know It's not Brenda.
Which student's table is correct?
Sam
Brenda
Cathy
Nathan

Answers

Answer:

Q1. : Sam!!!

I‘ve been frustrated by the numbers :)

Determine which integer in the solution set will make the equation true.

3s − 12 = −9
S: {−1, 0, 1, 2}

A: −1
B: 0
C: 1
D: 2

Answers

Answer:

c) 1

Step-by-step explanation:

Solving for the value of s,

→ 3s - 12 = -9

→ 3s = -9 + 12

→ s = 3/3

→ [ s = 1 ]

Thus, option (c) is correct.

Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________

Answers

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

For more questions on Division .

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Find the point below that lies on the line y - 6 = 3(x-5).
O A. (5,6)
O B. (1,-5)
O C. (6,5)
O D. (4, -3)
O E. (3,-1)

Answers

Okay. This can be solved by plugging the coordinates in.

For a, y is 6 and x is 5.
So... 6-6=3(5-5)
6-6=0 and 3(0)=0
A is correct since 0=0

I know a is the answer but I like to look at all of them.
-5-6=3(1-5)
-11=3(-4)
That one is false.

C: 5-6=3(6-5)
-1=3(-1)
-1 does not equal 3

D: -3-6=3(4-5)
-9=3(-1)
-9 does not equal -3

And finally, E:
-1-6=3(-1-5)
-7=3(-6)
-7 does not equal -18

In conclusion, your answer is A:)

Angle α lies in quadrant II, and tanα=−12/5. Angle β lies in quadrant IV, and cosβ=35.

What is the exact value of cos(α+β)?

Enter your answer in the box.

Angle lies in quadrant II, and tan=12/5. Angle lies in quadrant IV, and cos=35.What is the exact value

Answers

Answer:

Step-by-step explanation:

[-5/13] 3/5 +12+13 [-4/5 = - 63/65

What is the Cubed root of -108

Answers

Answer:

about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Calculator

Your calculator will tell you the cube root of -108 is about -4.7622.

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

∛-108 = -3∛4

<95141404393>

what is 3x-2 times by 2x-6

Answers

Answer:

Step-by-step explanation:

-6 times -12

use the laws of logarithm to expand the term log (ab)^2; log calculator; what is the answer to this math problem; desmos; desmos calculator; wolfram alpha; how to solve log x; how to solve for exponent x

Answers

The expanded form of log $(ab)^{2}$ using the laws of the logarithm is 2log a + 2log b.

The logarithm is the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if $b^x$ = n, which can be written as x = $log_{b}$ n.

For example, $3^{2}$ = 9; therefore, 2 is the logarithm of 9 to base 3, or $2 =log_{3} 9$

Now, we will use the laws of the logarithm to expand the term log (ab)^2 as follows -

log $(ab)^{2}$

= 2 log (ab)

Using the product property, we will get,

= 2(log a + log b)

= 2log a + 2log b

Hence, the expanded form of log $(ab)^{2}$ is 2log a + 2log b.

Answers

Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

__________________________________________________________

Questions?

Ask in the comments box.

3. Find the volume of a sphere that has a diameter of
10 inches. Round your answers to the nearest
tenth if necessary. Use 3.14 for pi.
0 1731.8 in. cubed
0904.8 in. cubed
0 113.1 in. cubed
0523.3 in. cubed

Answers

Answer:

(d) 523.3 in³

Step-by-step explanation:

The radius of the sphere is 10 in/2 = 5 in. The volume is given by ...

V = (4/3)πr³

V = (4/3)(3.14)(5 in)³ = 4·3.14·125/3 in³ ≈ 523.3 in³

0.7x -0.4 = 3.1
help me pls!!!!!

Answers

Answer:

x=5

Step-by-step explanation:

you add .4 to both sides, leaving you with .7x = 3.5

then you divide both sides by .7 & it gives you the answer of x=5

A baseball team is having an opening night ticket sale and all tickets are 25% off.
What is the discounted amount if the original ticket price is $85?

Answers

Answer:

Step-by-step explanation:

i took the test

What is the equation to 1 + 1

Answers

Answer:

Step-by-step explanation:

Pokoloruj na mapie obszary na których są zapisane liczby podzielne przez 9 dowiesz się gdzie w Polsce zakładają gniazda ptaki zwane batalionami
Pomocy na dzisiaj

Answers

Answer:

Niczego nie dołączyłeś. Więc nie mogę ci pomóc.

Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation can be used to determine how much the electrician charged per hour? (Tek 7.10A)

Answers

Answer:

First one (5x=320-70)

Step-by-step explanation:

If she paid 70$ for parts, then you have to subtract it from 320$ because that is the total. Therefore, 5x will be equal to 320-70 or 5x=320-70 :)

Find the common ratio of the geometric sequence 18, –72, 288, ...

Answers

Answer:

288 due to tuka I am trying this app is good or mot

Use PEMDAS to evaluate the expression 24 ÷ 3 + 6 x 4 − 11. 19 21 22 24
asap

Answers

Answer:

The answer is 21 if you use PEMDAS.

Answer:

Step-by-step explanation:

PEMDAS= Parenthesis Exponents Multiplication Division Addition Subtraction

Hope this helps! have a great day!

the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?

Answers

Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

Find the volume of a pyramid with height 29 and rectangular base with dimensions 5 and 9 using integration.

Answers

Answer:

Step-by-step explanation:

Volume of a pyramid is expressed as:

$V = \frac{Base \ area * height}{3}$

Base area = area of the rectangle = 5*9 = 45

Height of pyramid = 29

Substitute:

$V = \frac{45 * 29}{3}\\V = 15*29\\V = 435 units^3$

Hence the volume of the pyramid is 435units³

Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.

Answers

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.

How to write the required system of linear inequalities?

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

Read more on inequality here: brainly.com/question/29115398

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Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package.

Please answer please

Answers

Answer:3 units up four units to the left

Step-by-step explanation:

A local little league has a total of 95 players, of whom 20% are right-handed. How many right-handed players are there?

Answers

80% of 95 is 0.80(95) = 76

There are 76 right-handed players.

Answer:

Step-by-step explanation:

20% of 95 is 19 :)

Solve the equation 3(5x-2)-3x=30

Answers

The answer is X=3, ur welcome :)

Answer: 3

Step-by-step explanation:

3(5x-2) - 3x = 30

15x - 6 - 3x =30

15x -3x = 30 + 6

12x = 36

X= 36/ 12

X = 3

Helpp i have 12 minutes

Answers

Answer:

the answer is 924.8 round it up and you get 925

Step-by-step explanation:

The line plot below shows the number of hours Mr. Jacobson spent writing for each of the last nine days.

Answers

Answer:

the answer is 4

Step-by-step explanation:

Answer:the answer is 34 3/4

Step-by-step explanation: i know it is the right answer

The sum of a number and 3 is less than or equal to 8

Answers

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

which of these is not a linear graph.

Answers

Answer:

Step-by-step explanation:

It isn't linear

Answer:

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you

Other Questions

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Q23: Problem-solving Work out the area of this triangle.

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Q23: Problem-solving
Work out the area of this triangle.