Answers
Answer:
x = 12
Step-by-step explanation:
Formula for area of a triangke is;
A = ½bh
Where;
b is base
h is height
From the triangle diagram given;
b = x + 6
h = x
Thus;
A = ½(x + 6)x
A = ½x² + 3x
Now we are told that the area is 108 m², Thus;
½x² + 3x = 108
Multiply through by 2 to get;
x² + 6x = 216
x² + 6x - 216 = 0
Using quadratic formula, we arrive at;
x = -18 or 12
x can't be negative, thus; x = 12
Related Questions
A bag contains 7 milk and 5 dark chocolates. A sweet is selected at random. What is the probability of choosing: P(milk) = P(not milk) =
Answers
Answer: P(7)=P(5)=12
Step-by-step explanation:
The probability of choosing milk and not milk will be 0.5833 and 0.4167, respectively.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
A sack contains 7 milk and 5 dim chocolates. A sweet is chosen indiscriminately.
The total number of the sweets will be given as,
Total events = 7 + 5 = 12
The probability of choosing milk will be given as,
P = (7/12)
P = 0.5833
The probability of choosing not to milk will be given as,
P = (5/12)
P = 0.4167
The probability of choosing milk and not milk will be 0.5833 and 0.4167, respectively.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ5
Han's house is 450 meters from school. Lin's house is 135 meters closer to school. how far is Lin's house from school
Answers
Answer:
315 meters
Step-by-step explanation:
450-135=315
Answer: 315
Mark me brainliest please
Step-by-step explanation:
450-135= 315
Which relation is a function?
{(3, 4), (2, 4), (5, 1), (3, 5)}
{(1, 4), (1, 3), (1, 2), (1, 1)}
{(1, 3), (2, 6), (3, 9), (4, 12)}
{(3, 4), (3, 3), (1, 2), (1, 5)}
Answers
Answer:
its 1
Step-by-step explanation:
look it up big dig daddy
explanation:
for it to be a function an x-value can never be the same. so therefore it’s the 3rd one.
1. Captain Salamander has 3 pet frogs called Dorris, Borris and Morris. He weighs them to check they are the right weight. However, the frogs will only be weighed two at a time! Dorris and Borris weigh 12lbs altogether. Borris and Morris weigh 16lbs altogether. Dorris and Morris weigh 14lbs altogether. How much does each frog weigh?
Answers
Answer:
Their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
Step-by-step explanation:
Let the weights of the frogs be:
Dorris = d
Borris = b
Morris = m
given:
d + b = 12 - - - (1)
b + m = 16 - - - (2)
d + m = 14 - - - (3)
from (3)
d + m = 14
m = 14 - d - - - (4)
putting the value of m into equation 2:
b + m = 16
b + (14 - d) = 16
b - d + 14 = 16
b - d = 16 - 14
b - d = 2
b = 2 + d - - - - (5)
putting the value of 'b' in equation 5 into equation (1)
d + b = 12 - - - (1)
where: b = 2 + d - - - (5)
∴ d + (2 + d ) = 12
d + d + 2 = 12
2d = 12 - 2
2d = 10
∴ d = 10 ÷ 2 = 5
d = 5
putting the value of 'd' into eqn (5)
b = 2 + d - - - - (5)
where d = 5
b = 2 + 5 = 7
b = 7 lbs
to find 'm', let us use eqn (3)
d + m = 14 - - - (3)
where d = 5
∴ 5 + m = 14
m = 14 - 5 = 9
m = 9 lbs
Therefore their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
what's a good app to use for solving geometry ?
Answers
Answer:
uhh I would say this one if people help u out atleats
Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.
A triangle has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.
Given the angles in the diagram, who is closer to the treasure chest and why?
Nigel is closer because his distance to the chest is opposite the larger angle.
Mia is closer because her distance to the chest is opposite the smaller angle.
Nigel is closer because his distance from the chest is 100 meters.
Mia is closer because her distance from the chest is 100 meters.
Answers
Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Given is a triangle that has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.
Refer to the image attached.
It can be seen that Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees. We can conclude this from the fact that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle
Therefore, Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ6
Answer:
B
Step-by-step explanation:
I did it and it is correct
need help fast only 14 mins left
Answers
Answer:
V = 49 m³
Step-by-step explanation:
Volume in November 2015 = 6287 m³
Volume in August 2015 = 6238 m³
We need to find the volume of water used between August and November. It can be calculated as follows :
V = 6287 m³ - 6238 m³
= 49 m³
So, the required volume is 49 m³.
express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers
Answers
Answer:
x^2 -8x + 5 = (x-4)^2 - 11
Step-by-step explanation:
Here we want to write the given expression in the form
x^2-8x + 5 can be written as follows;
(x-4)^2 = x^2 - 8x + 16
All we have to do is to subtract 11
Thus, we have it that;
x^2-8x + 5 = (x-4)^2 - 11
Given the inequality of x < 5, select all the
possible solutions that will make this inequality true.
Ua
7
b
5
Jc
8
d
-3
e
4
-1,245
0
Dh
6
Answers
I need help please ASAP
How many tiles are used to model “x+3” in x+3=7 and how did you know?
x- tiles:
3-tiles:
Answers
Answer:
Your answer
Step-by-step explanation:
X=4
x stands for an unknown number subtract 7-3=4
therefore... X=4
i'm in algebra one I know math.
HAVE A GREAT WEEK! :)
Which expression is equivalent to -4x - 36?
A. 4(x - 9)
B. 2(2x - 18)
C. -2(2x - 18)
D. -4(x + 9)
Answers
D. -4(x+9)
For this you distribute the number outside the parentheses to both numbers inside.
A. 4(x-9)=
4x-36
B. 2(2x-18)=
4x-36
C. -2(2x-18)=
-4x+36
D. -4(x+9)=
-4x-36
Therefore, D is the answer
Please help!
Thank you!
Answers
Hope this helps
11 is what percentage of 16? Round the nearest tenth.
Answers
Answer:
.69, but you can round it to .70 because of the 9
Step-by-step explanation:
70%
Answer:
This can be calculated by dividing 11 over 16, which is equal to about 0.69.
Let me know if this helps!
*
#17) Michelle has 8 pints of milk. How many quarts of milk does she have?
Answers
Answer:
4 quarts
Step-by-step explanation:
1 quart = 2 pints
2 quart = 4 pints
3 quart = 6 pints
4 quarts = 8 pints,
therefore Michelle has 4 quarts of milk
hope i helped you!
Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?
Answers
Answer:
The top three that are first :)
Step-by-step explanation:
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?
Answers
Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x
Missing Terms- ?, 21, 16, ?, 6, ?
Answers
Answer: 26, 21, 16, 11, 6, 1 (You're going up by 5 each time)
Step-by-step explanation: Good luck! :D
Evaluate: ab when a = 2 and b=4
Answers
Answer:
8
Step-by-step explanation:
ab = 2 * 4 = 8
Answer:
8
Step-by-step explanation:
ab when a = 2 and b = 4
First, plug in the values into the expression.
ab = (a)(b)
(2)(4)
When two numbers are set next to each other in parentheses, you are multiplying them.
2 × 4 = 8
Therefore, ab = 8
Hope this helps!
CAN SOMEONE HELP ME PLZ I NEED HELP
Answers
Answer:
1200 per time
Step-by-step explanation:
How do you make someone's comment the brainiest answer
Answers
Answer:
Nice.......It helped me out
LOL
Step-by-step explanation:
13. A fast food restaurant sells hamburgers and hotdogs. One day you go in and get 4
hamburgers and 3 hotdogs for $25.50. The following week you go in and get 9 hamburgers and
2 hotdogs and pay $45.50. What is the price of 1 hamburger? What is the price of 1 hotdog?
WRITE and SOLVE a system of equations to solve this problem. Make sure to clearly define
your variables.
Answers
4x+3y=25.5
9x+2y=45.5
by using elimination method
8x+6y=51
-27x-6y=-136.5
-19x=-85.5
x=4.5
4(4.5) +3y=25.5
3y=7.5
y=2.5
hamburger $4.50 hotdog $2.50
Step-by-step explanation:
4x+3y=$25.50
9x+2y=$45.50
8x+6y=51
-27x-6y=$-136.50
-19x=-85.50
x=4.5
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
Answers
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
URGENT!!!!
25/90= 0.27
WHAT IS O.27 ROUNDED TO THE NEAREST TENTH!!
PLEASE ANSWER!!
Answers
Answer:
0.3 since the 7 is bigger than 4 :)) just round up the tenth is the number after the decimal
20 points!!! Will mark brainlist to whoever gives me the correct answers with the work:)
Use the information below for Part A, Part B, and Part C.
f(x) = 1/2x -7
g(x) = 2x + 14
Part A: Find (fog)(x). Show your work.
Part B: Find (gºf)(x). Show your work.
Part C: Use your answers to Part A and Part B to determine whether the two functions are inverses. Explain your answer fully.
Answers
Answer:
(1/2(2x+14)-7) = 1x+7-7= x g(f(x))= 2(1/2x-7)+14= x-14+14= xWe have the result being two variables of linearity hence they are not inverses. In order to be inverses they should have had switched notations, ie: -x vs x9514 1404 393
Answer:
A: (f∘g)(x) = x
B: (g∘f)(x) = x
C: the functions are inverses
Step-by-step explanation:
A: (f∘g)(x) = f(g(x)) = f(2x +14)
= 1/2(2x +14) -7 = x +7 -7 = x
(f∘g)(x) = x
__
B: (g∘f)(x) = g(f(x)) = g(1/2x -7)
= 2(1/2x -7) +14 = x -14 +14 = x
(g∘f)(x) = x
__
C: When a function is operated on by its inverse, then original argument value is restored. That is the case for functions f and g, so the two functions are inverses.
please check my answer!!!!!!
Answers
Answer: Its correct
Step-by-step explanation:
Haobxhalbauabaapa a
Jamila buys a pair of shoes for $22. She pays sales tax of 6.5% on the cost of the shoes. How much is the total cost of her shoes?
Answers
Answer:
23.43
Step-by-step explanation:
22 + 6.5% = 23.43
Mark borrows $2500. His loan is for 6 months and has a 12% interest rate.
How much interest will Mark pay on the loan?
Answers
Answer:
either 300 or 1800
Step-by-step explanation:
depends on if they are counting for one month or the whole 6 months.
Answer:
$150.00
Step-by-step explanation:
2500x.12x.5= 150.00
The scale on a map is 1cm=30km the map distance between two town is 3.5cm
Answers
If an item has an original price of $65, but is discounted 20%. What is the total cost after sales tax (.0825)?
Answers
Answer:56.29$
Step-by-step explanation:
65 x .80 = 52
52 x 1.0825 = 56.29
<Brainliest is appreciated!>
Answer:
$56.29
Step-by-step explanation:
Original price = $65
discount = 20%
hence discounted price = 100% - 20% = 80% of the original price
discounted price = 80% x $65 = $52
sales tax rate = 0.0825 (i.e 8.25%)
amount of sales tax paid
= 0.0825 x discounted price
= 0.0825 x $52
= $4.29
Final cost
= discounted price + sales tax
= $52 + $4.29
= $56.29
Write 90 as a product of primes.
Answers
Answer:
hey i got that same qustiom=n but i ddint know how to do it