Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm
Answers
The area of the triangle ABC is 34.2 square centimeters
How to determine the triangle area?The complete question is in the image
Start by calculating the semi-perimeter using:
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (9 + 10 + 8)
Evaluate
s = 13.5
The area is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]
Evaluate
A = 34.2
Hence, the area of the triangle ABC is 34.2 square centimeters
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Related Questions
If the diameter of a circle is increased by 6 cm, what is the increase in the circumference of the circle?
Answers
Answer:
The circumference will be larger by 3 cm.
Step-by-step explanation:
We know that the circumference of a circle is C = 2πr, where r is the radius. The circumference can also be expressed as C = 2π [tex]\frac{d}{2}[/tex], where d is the diameter (since the radius is half the diameter).
So, if we increase the diameter by 6:
C = 2π [tex]\frac{(d+6)}{2}[/tex]
C = 2π [tex]\frac{d}{2}+\frac{6}{2}[/tex]
C = 2π [tex]\frac{d}{2}[/tex] + 3
If we compare this to the original equation, C = 2π [tex]\frac{d}{2}[/tex], we see that if we increase the diameter by 6 cm, the circumference will be larger by 3 cm.
Graph the quadratic function ƒ(x) = 2(x − 3)^2 − 2 and select all of the following which is true.
Answers
True Statements:
Minimum at (-3,-2)
x-intercept at (2,0)
x-intercept at (4,0)
y-intercept at (0,-16)
what is the area of the rectangle whose length is (x + 5) and width (x-5)
Answers
Answer:
area of the rectangle is length *breadth
length =(x+5)
breadth =(x-5)
=(x+5)(x-5)=x^2-5x+5x-25=x^2-25
Answer:
[tex]\boxed {\boxed {\sf a=x^2-25}}[/tex]
Step-by-step explanation:
The area of a rectangle is the product of length and width.
[tex]a=l*w[/tex]
The length is (x+5) and the width is (x-5).
[tex]a= (x+5)(x-5)[/tex]
We have two binominals, so we can multiply using FOIL: First, Outside, Inside, Last.
F: x*x= x²O: x*-5= -5x I: x*5= 5x L: 5*-5 = -25[tex]a= x^2-5x+5x-25[/tex]
Combine the like terms: -5x and 5x. They cancel each other out.
[tex]a=x^2-25[/tex]
The area of the rectangle is x²-25
Please guys help because I don't. know it
Answers
Answer:
-7/4 sign will be -
-7/2 sign will be -
11/-4 sign will be -
-0,5/-7 sign will be +
18/37 sign will be +
(-3)*(-5)/2*(-7) sign will be -
(-4)*3/(-7)*(-5) sign will be -
-3*5/4*8 sign will be -
Please and Thank You
Answers
Answer:
15
Step-by-step explanation:
Answer:
Step-by-step explanation:
three units <3
I need help please.
24.
2
1
X 46°
Answers
Answer:
measure 1 and 2 are both 112°
The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. Create an equation for the relationship between temperature and the time.
Answers
Answer:
y=-3x+80
Step-by-step explanation:
Points (12,44) and (20,20)
slope = -3
Equation of line: y - 44 = -3(x - 12)
The equation for the relationship between temperature and time is
T = 44 - 3x
Where x is the number of hours and T is the temperature.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The temperature at 12 am = 44°
The temperature after 8 hours = 20°
Now,
The temperature drops steadily.
This means,
Temperature drops in an hour.
= (44 - 20) / 8
= 24/8
= 3°
The equation for the temperature after x hours.
= 44 - 3x
Thus,
The steady temperature drop in an hour is 3°.
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Peter is going to put up 5 walls in the tree house. Each wall will be 7 feet high and 7 feet across. He wants to leave room for windows that measure 2 feet by 2 feet. Which algebraic expressions will give the total square feet of lumber he will need for the walls if n represents the number of windows he puts in? Choose all that apply. 241n 49n – 4 49n – 4n 245 – 4n 49(5) – 4n (7)(7)(5) – 4n (7)(7)(5) – (2)(2)n
Answers
Answer:
245 – 4n, 49(5) – 4n, (7)(7)(5) – 4n, (7)(7)(5) – (2)(2)n,
Step-by-step explanation:
(5 x 7 x 7) - n(2 x 2)
Answer:
or just d,e,f,g
Step-by-step explanation:
thats way faster than the dude on top of me
D,E,F,G
!!!!!Help Me Pls!!!!!
Answers
Answer:
b. 36
Step-by-step explanation:
a 3 lb bag of apples for $2.99 or a 5 lb bag of apples for $4.99
Answers
Answer:
theyre the same
Step-by-step explanation:
if we round 2.99 to 3.00 and 4.99 to 5.00, than theyre both $1 per pound
..............help help please help please
Answers
Answer: interior angles
Step-by-step explanation:
Answer:
They are interior angles on the same side of the transversal
ang6 =>
180-61
=119
Hope it Helps
Mrs. Lawton has a bank balance of $72 at the start of the month. On the 3rd of the month he withdrew $20. Then on the 8th, he withdrew 5 times the amount he withdrew on the 3rd.
1. What is Mrs. Lawton’s bank balance after the 2 withdrawals?
2. How much does Mrs. Lawton need to deposit into her account to give an exact balance of $200?
Answers
Answer:
1. Answer -48$
72-20 = 52
20 * 5 = 100
52 - 100= -48
2. 248$
-48 + 248 = 200
Step-by-step explanation:
hope this helps lovely
how do you multiply a number with standard form. e.g 4 × (5.25 × 10^4)
Answers
Answer:
210000x2
Step-by-step explanation:
4x(5.25x(104))
=4*x*5.25*x*10000
=210000*x2
=210000x2
If I am earning £4.99 per hour at work , and I work for 38 hours a week how much would I earn in 6 months
Answers
Answer:
like 1000 maybe?
I think that's like a tough estimate
Answer:
4,930
Step-by-step explanation:
38 x 4.99= 189.62
since there are about 26 weeks in 6 months-
189.62 x 26 = 4,930.12
Jaylen will deposit $1,750 in an account that earns 6% simple interest every year. His best friend, Eli, will deposit $1,600 in an account that earns 8.5% interest compounded annually. The deposit will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two friends’ account after 5 years
Answers
Answer:
Jaylen- 2275
Eli- 2405.85
Jaylen
1750 x 0.06 x 5 =525
525 + 1750 = 2275
He makes 525 simple interest in those 5 years so you add that to the initial amount, to find his total after 5 years.
Eli
A= 1600(1+0.085)^5
1600(1.085)^5
2405.85
Hope this helps ^-^
2/x = 10/15 it's 2 / x = 10 / 15 find the unknown number in the proportion. Round the answer to the nearest hundredth when necessary Will mark brainly
Answers
Answer:
3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
2/x = 10/15
10x = 30
x = 3
10
Tara is playing a party game in which a tiny ball is
dropped into a rectangular box. To win the game, she
must guess where the ball will stop. What should she
guess to maximize her chances of winning?
scribes the likelihood of the ball
quare or rectangular shaped area?
square
circle
triangle
shaded area
4
Answers
Answer:
1. Shaded Area 2. UnlikelyStep-by-step explanation:
edge2021
c - 21 = 16
c=___? HELP!
Answers
Answer:
Original equation: C-21=16
Add 21 to both sides: C=37
Hope this helps!
a jeweler wants to mix gold costing $17 per gram with an alloy costing $7 per gram to make a ring weighing 30 grams and costing $390. how much of each metal is needed
Answers
Answer:
15 grams of each
Step-by-step explanation:
Which graph shows the relationship between the number of tigers and the total number of square feet of space?
Answers
Answer:
Graph A shows the relationship between the number of tigers and the total number of square feet of space as expressed in the equation.
Step-by-step explanation:
Answer: Graph A shows the relationship between the number of tigers and the total number of square feet of space and here is my proof.
Step-by-step explanation: square feet is supposed to be in the thousands and graph A is one of the only ones that show that. Also the number of tigers are ofc single numbers so that makes the numbers below 1,2,3,4, and 5 and the numbers for square feet are 1,000, 2,000, 3,000, 4,000, and 5,000. For more proof the pictures below explain the answer.
what is 200000748*203=
Answers
Answer:
40600151844.........
Answer:
40, 600, 151,844
Step-by-step explanation:
this is two million seven hundred and forty eight, times two hundred three, to get forty billion six hundred million one hundred fifty one thousand eight hundred forty-four.
(-7)^2
Help
Also what's your zodiac sign?
Answers
Answer: 49
and im a taurus
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
-7*-7= 49
Im a gemini
Find the value of x in each of the following diagrams.
Will give brainliest for full answer
Answers
whats greater .12 or 12/16
Answers
Answer:
12/16 is greater than 0.12.
Step-by-step explanation:
0.12 = 12/100 = 6/50 = 3/25
12/16 = 3/4.
So, 12/16 is greater than 0.12.
Answer:
12/16 is greater than
12/16 as a decimal would be .75 so its greater than .12
What is the sum of 3 consecutive odd integers whose
mean is 27 ?
Answers
Answer:
The three consecutive odd numbers whose sum is 27 are 7, 9 and 11.
What do Geometry teachers use to decorate their floors?
Answers
The solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.
What is the area of a figure?The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters, square feet, square inches, and other similar units are used to measure area.
The problem is actually, a riddle(Joke) and the solution to the problem is Area rugs.
Thus, the solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.
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PLEASE HELP!
317 people are coming to the school's quiz night, if each table can seat 8 people what is the smallest number of tables that will be needed?
Answers
The smallest number of tables that will be needed will be 39.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 317 people are coming to the school's quiz night, each table can seat 8 people.
The number of the tables will be calculated as,
N = 316 / 8
N = 39
Therefore, the smallest number of tables that will be needed will be 39.
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If y varies directly with x, and y is 3 when x is 9, find x when y is 12.
Answers
Answer:
x=4
Step-by-step explanation:
Answer:
9/3=3
12/3=4
step-by-step explanation:
I think it's four but sorry if its not
a⁷×a⁴×a‐⁶x a⁰ find the answer of this question
Answers
I hope it helps you ❤️ ❤️❤️
Answer:
Step-by-step explanation:
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A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in fours there are 3 left over. When they line up in fives there are 4 left over. When they line up in sixes there are 5 left over. How many students could there be?
Answers
Answer:
59 students
Step-by-step explanation:
3s+2
5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59
4s+3
7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59
5s+4
9, 14, 19, 24, 29, 34, 39, 44, 49, 54, 59
6s+5
11, 17, 23, 29, 35, 41, 47, 53, 59
The smallest number of students there could have been is 59.
