Answer:
The area of the triangle is 18 square units.
Step-by-step explanation:
First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:
AB
[tex]AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}[/tex]
[tex]AB \approx 7.616[/tex]
BC
[tex]BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}[/tex]
[tex]BC \approx 6.325[/tex]
AC
[tex]AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}[/tex]
[tex]AC \approx 5.831[/tex]
Now we determine the area of the triangle by Heron's formula:
[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)
[tex]s = \frac{AB+BC + AC}{2}[/tex] (2)
Where:
[tex]A[/tex] - Area of the triangle.
[tex]s[/tex] - Semiparameter.
If we know that [tex]AB \approx 7.616[/tex], [tex]BC \approx 6.325[/tex] and [tex]AC \approx 5.831[/tex], then the area of the triangle is:
[tex]s \approx 9.886[/tex]
[tex]A = 18[/tex]
The area of the triangle is 18 square units.
What would x equal (rounded to the nearest tenth)
Solve the inequality a+4/2>16
Answer:
a > 14
Step-by-step explanation:
I hope this helps!
The solution to the inequality expression a + 4/2 > 16 is a > 14
How to solve the inequality expression?The inequality expression is given as:
a + 4/2 > 16
Divide 4 by 2
a + 2 > 16
Subtract 2 from both sides
a > 14
Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14
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Make t the subject of the formula.
Please help.
Answer:
[tex]t = \frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
[tex]q = \frac{2-4t}{t+3}\\\\[/tex]
Cross multiply,
q(t+3) = 2 - 4t
Use distributive property: a*(b + c) =(a*b) + (a*c)
qt + 3q = 2- 4t
qt + 4t + 3q = 2
qt + 4t = 2 - 3q
t(q + 4) = 2 -3q
[tex]t = \frac{2-3q}{q+4}[/tex]
please show me a graph of the inequality statement f(x) is less than or equal to 2x squared + 4x
Answer:
Step-by-step explanation:
whats the area of this figure
Answer:
208
Step-by-step explanation:
(14x9)+(10x7)+(3x4) = 208
Five whole numbers are written in order.
4
7
x
y
11
The mean and median of the five numbers are the same.
Work out the values of
x
and
y
.
(3 marks)
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Are there similarities with the musical instruments of South Asian and Middle East? Explain.
nThe Middle East has been an important source of musical instruments for other parts of the world. Bagpipes, guitar, lute, oboe, tambourine, viols, and most zithers have a Middle Eastern origin.
The similarity is that both of them place value on the use of instrumental music. The South Asian and the Middle East is known to have a lot of musical instruments when compared to other parts of the world.
What are the musical instruments from South Asia and Middle East?The musical Instruments that can be seen in Hindustani classical music are known to be the sitar, sarod, tambura, and others.
The instruments that is said to be used in Karnatak classical music are known to be the vina, mrdangam, violin and others
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plsss help i’ll give brainliest if you give a correct answer
Answer: x = 7
Explanation:
Subtract 8 from both sides to isolate x.
x + 8 = 15
x + 8 -8 = 15 - 8
x = 15 - 8
x = 7
Answer:
X=7
Step-by-step explanation:
have a good day /night
Such as 0.5, has a finite number of digits.
a. terminating decimal
b. repeating decimal
Answer: terminating decimal
Step-by-step explanation: :)
Students recorded the amount of liquid in fluid ounces each of them drank in one day. The box plot shows the summary of the results. Which statement best describes the data represented in the box plot?
Which statement best describes the data represented in the box plot?
Half the students drank from 78 to 114 fluid ounces.
The greatest number of students drank from 30 to 78 fluid ounces.
The data represent 78 student responses.
The mean number of fluid ounces that the students drank is 78.
Answer:
the data represent 78 students reponses
Answer:
the data represent 78 students reponses
Step-by-step explanation:
you deposit $50 in checks in your account with $100 cash amount, what is your total deposit? (answer in only numbers) $
I’ll give brainiest
Its 150 dollars because your adding 50 +100
5m + 26 - 3p when m = 3 and p = 4
Answer: 15 + 26 - 12 if you were to simplify the expression
Step-by-step explanation:
A triangle has two sides of length 7 and 4. What is the smallest possible whole-number length for the third sid
Answer:
3......
Step-by-step explanation:
in triangle sum of two sides must be equal to third side......
hope this will help u.....
Sarah and three of her classmates entered a story they wrote into a contest at the mall. Their team won, and they received a cash prize.
Each person won $21.25, so how much was the entire prize?
Answer:
Step-by-step explanation:
4 × $21.25 = $85
A bag contains 24 discs.
8 are red and 16 are blue.
One disc is taken out at random and replaced by two of the other colour.
Another disc is then taken out at random and replaced by two of the other colour.
Another disk is taken out at random
Work out the probability that all three discs are taken out red
Answer:
Step-by-step explanation:
8/24 are Red
Pick and return 2
So it will be 7/25
Again pick and return 2
Then it is 6/26
Now multiply the results
8/24 × 7/25 × 6/26 = 7/ 325
The probability that all three discs are taken out of red will be 7/ 325.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that a bag contains 24 discs. 8 are red and 16 are blue. One disc is taken out at random and replaced by two of the other colour. Another disc is then taken out at random and replaced by two of the other colour.
The probability will be calculated as,
Red = 8/24
Pick and return 2 it will be 7/25
Again pick and return 2 then it is 6/26
Now the overall probability will be,
P = 8/24 × 7/25 × 6/26 = 7/ 325
Therefore, the probability that all three discs are taken out of red will be 7/ 325.
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Mr. Garza's family is attending the local soccer game. He has 30 to spend on food and drinks . The cost of chips is $2 and the cost of a drink is $3 . Which of the following inequalities represents all possible combinations of c , and d, the number of drinks , that Mr. Garza can purchase?
Answer:
$6
Step-by-step explanation:
let x and y be the number of chip and pretzel bags respectively : 4x%2B2y%3 C=20 : if x=1 then 4%281%29%2B2y%3C=20--->{{2y<=16}}}--->y%3C=8 : if x=3 then 4%283%29%2B2y%3C=20--->{{2y<=8}}}--->y%3C=4 : so chips 1 and pretzels 8 : chips 3 and pretzels 4.
8 baseball players share 18 apples
Answer:
each get 2 and 1/4 of an apple :) pls give brainliest
Step-by-step explanation:
Joseph has only nickels and quarters in his piggy bank. He has 62 coins total for a
combined value of $11.10. How many nickels does Joseph have?
9514 1404 393
Answer:
22 nickels
Step-by-step explanation:
Let n represent the number of nickels in Joseph's piggy bank. Then the number of quarters is 62-n. The total value is ...
0.05n + 0.25(62 -n) = 11.10
-0.20n + 15.50 = 11.10 . . . simplify
4.40 = 0.20n . . . . . . . . . . add 0.20n-11.10
4.40/0.20 = n = 22
Joseph has 22 nickels in his piggy bank.
What is 3,000 divided by 250?
Answer: 12 100% right
Step-by-step explanation:
The value of solution of 3,000 divided by 250 is,
⇒ 12
We have to given that;
⇒ 3,000 divided by 250
Now, WE can divide as;
⇒ 3,000 divided by 250
⇒ 3,000 / 250
⇒ 12
Thus, The value of solution of 3,000 divided by 250 is,
⇒ 12
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The pages of a book are numbered consecutively, beginning with 1. The digit 7 is printed 25 times in numbering the pages. What is the largest number of pages the book can have?
Answer:7
Step-by-step explanation:
**PLEASE HELP ILL MARK BRAINLIEST** the table shows the values of y for different values of x. What are the rate of change and the initial value for y
Answer:
It's D. The initial value of y is 3 because 6,9 and 12 are 3 digits apart, and it always is Y over X
At the music store Katelyn bought 2 packs of
guitar strings and a music book. The book cost
$18.00. Her total purchase was $46.00. How
much is one pack of strings?
Write an inequality that describes this graph help someone
Answer:
4 is greater than x
Step-by-step explanation:
what is 9 2/7 simplified
Answer:
2 + (4/7)
Step-by-step explanation:
9 x 2/7 = 18/7 = 2 + (4/7)
Answer:
Exact Form:
65 /7
Decimal Form:
9. 285714
Mixed Number Form:
9 2/ 7
Step-by-step explanation:
Hope this helps:)
1 gram = ----- centigrams
Answer:
100 centigrams!!
Step-by-step explanation:
Brainliest for correct answer
Make x the subject of the formula y = ax^2 + b
Step-by-step explanation:
y-ax^2=b
y- ax^2÷b
y-a÷b
x√y-a÷b
help please asap!!!!only the correct answet please
Answer:
B
Step-by-step explanation:
find the area of the parallelogram
Answer:
multiply the base by the height
Step-by-step explanation:
23x13
Answer:
299 feet
Step-by-step explanation:
Okay so the cut off triangle you can move to the right side to make it a perfect rectangle. Find tha area.
13 x 23 = 299 feet
a school has 36 fish swamps 4/6 of them's are boys how much are girls
Answer:
12 fish are girls
Step-by-step explanation:
multiply 4/6 by 6 which would be 24/36. Then substract 24 from 36 and you get 12.
Answer:
12 are girls
Step-by-step explanation:
Reason that since 4/6 of them are boys then that means 2/6 are girls
then convert 2/6 to decimal form which is 0.3333....
then multiply that by 36 which gives us 12
you could also go the roundabout way and convert 4/6 to decimal form and take that value and multiply it by 36 which gives us 24 then subtract 24 from 36 which still gives us 12
hope this makes sense
have a great day luvs <3
please help asap i need to finish i will mark brainlest ily
Answer:
I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what
Answer:
20\40= 0.5 is 1\2