Answer:
The first side of the triangle = 180 cm
The second side of the triangle = 60 cm
The third side of the triangle =130 cm
Step-by-step explanation:
To solve this, we will follow the steps below;
First, re-write the question in a mathematical format and then solve;
let a=the first side of the triangle
b=the second side of the triangle and
c=the third side of the triangle
"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:
a=3b ------------------------------------------------(1)
"the third side is 50 cm shorter than the first side" can be re-write as :
c=a-50-----------------------------------------------(2)
"perimeter is 370" can be re-write as:
a + b + c = 370 --------------------------------------(3)
from equation (2), make b subject of the formula; a= 3b
b=a/3 ------------------------------------(4)
substitute equation (2) and (4) into equation (3)
a + b + c = 370
a+[tex]\frac{a}{3}[/tex] + a-50 = 370
add 50 to both-side of the equation
a+[tex]\frac{a}{3}[/tex] + a-50 + 50= 370 + 50
a+[tex]\frac{a}{3}[/tex] + a= 420
[tex]\frac{3a + a + 3a}{3}[/tex] = 420
[tex]\frac{7a }{3}[/tex] = 420
multiply both-side of the equation by 3
[tex]\frac{7a }{3}[/tex] ×3= 420×3
7a = 1260
Divide both-side of the equation by 7
[tex]\frac{7a}{7}[/tex] = [tex]\frac{1260}{7}[/tex]
a= 180
from equation (4) b = a/3
b = 180/3 = 60
from equation (2) c= a- 50
c= 180 - 50
c= 130
a= 180 cm
b = 60 cm
c= 130 cm
Therefore,the first side of the triangle = 180 cm
the second side of the triangle = 60 cm
the third side of the triangle =130 cm
help plz will mark brainlest
Answer:
1)v=-2/45 2)y=-6.31
Step-by-step explanation:
1) -9/4v+4/5=7/8
-9(10)v+4(8)=7(5)
-90v+32=35
-90v=4
v=-4/90
v=-2/45
2)7.3y-5.81=-51.9
7.3y=-51.9+5.81
7.3y=-46.09
y=-6.31
Answer:
v= - 1/30 y=1.421
Step-by-step explanation:
The quotient of 40 and the product of a number and -8
Answer:
-5
Step-by-step explanation:
which store will she purchase the rug from
What is the area of a circle with a diameter of nine
Answer:
A =63.585 units^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
We have a diameter of 9
r = d/2 = 9/2 = 4.5
A = (3.14) * (4.5)^2
A =63.585 units^2
(07.03 MC)
Milan uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below:
Number on the Cube Number of Times Rolled
1
10
2
8
3
33
4
29
5
11
6
9
Heads Tails
29
71
Using Milan's simulation, what is the probability of rolling a 5 on the number cube and the coin landing on tails?
11
10.000
71
10,000
Answer:
P(Both) = 781/10000
Solution:
P(T) = 71/100
P(6) = 11/100
P(Both) = P(T) * P(6)
(Both) = 71/100 * 11/100
P(both) = (71 * 11) / 10000
P(Both) = 781/10000
Brainliest please, I need a few more ;D
Short Answer D
Remark
Thank you for trying to pose the question so clearly.
Givens
T = 71 times
5 being rolled = 11
Substitution and solution.
P(T) = 71/100
P(6) = 11/100
P(Both) = P(T) * P(6)
P(Both) = 71/100 * 11/100
P(both) = (71 * 11) / 10000
P(Both) = 781/10000
Which figure is a translation of figure 1?
Figure
1
2
5
4
Answer:
4
Step-by-step explanation:
In a translation the shapes are the same, congruent, and do not change direction or size.
Answer:
the answer is 4
Step-by-step explanation:
bc it is
3) Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression?
a) P(x) = -3x2 + 432x - 1680
b) P(x) = -3(x - 4)(x - 140)
c) P(x) = -3(x - 72)2 + 13872
4) Find the profit when the price is zero.
Question:
Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression? P(x) = -3x² + 432x - 1680
a) P(x) = -3(x - 4)(x - 140)
b) P(x) = -3(x - 72)² + 13872
Find the profit when the price is zero
Answer:
- P(x) = -3(x - 140)(x - 4).
- P(0) = -1680
Step-by-step explanation:
Given
P(x) = -3x² + 432x - 1680
Required
- Find equivalent of P(x)
- Find P(x) when x = 0
To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.
This is done as follows
P(x) = -3x² + 432x - 1680
P(x) = -3x² + 12x + 420x - 1680
P(x) = -3x(x - 4) + 420(x - 4)
P(x) = (-3x + 420)(x - 4)
Further expand -3x + 420
P(x) = -3(x - 140)(x - 4).
Hence, the equivalent of
P(x) = -3x² + 432x - 1680
without changing its form is
P(x) = -3(x - 140)(x - 4).
When price is 0, then x = 0.
Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).
P(0) = -3(0 - 140)(0 - 4).
P(0) = -3(-140)(-4)
P(0) = -1680
Hence, the profit when price is 0 is -1680
Pls someone help me
Put these numbers in order, smallest to largest.
0.59 0.509 0.5 0.9 5.9
Answer:0.5<0.509<0.59<0.9<5.9
Step-by-step explanation:
Maths
Answer:
0.5,0.509,0.59,0.9,5.9
Step-by-step explanation:
PLEASE HELP! Will KARK BRAINLIEST!
If 3/8 inches on a scale drawing is equivalent to one foot at full scale, what distance on the drawing will stand for 40 inches?
Answer:
A.) 1/8 Inches
Step-by-step explanation:
i really don't understand math
Answer:
b = 6 mm
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 8² = 10²
b² + 64 = 100 ( subtract 64 from both sides )
b² = 36 ( take the square root of both sides )
b = [tex]\sqrt{36}[/tex] = 6
b = 6 mm
Step-by-step explanation:
To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...
[tex]a^2+b^2=c^2[/tex]
It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.
[tex]8^2+b^2=10^2[/tex]
[tex]64+b^2=100[/tex]
Subtract 64 from both sides.
[tex]b^2=36[/tex]
A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.
[tex]\sqrt{36}=6[/tex]
b = 6
Please help with question off algebra nation
Answer:I’m on that same question and I need help to
Step-by-step explanation:
Answer:
Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.
Step-by-step explanation:
I know that table C is linear because it has a constant rate of change the whole entire time.
I know table A is exponential because of the way it drastically increases at the end.
And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.
I hope I helped.
Select the correct answer. Which statement is true about this equation? -(2x + 4) + x = 3x − 4x − 4
Answer:
no solutions
Step-by-step explanation:
-(2x + 4) + x = 3x − 4x − 4
Distribute
-2x - 4 + x = 3x − 4x − 4
Combine like terms
-x +4 = -x -4
Add x to each side
-x+x+4 = -x+x-4
4 = -4
This is never true so there are no solutions
Answer:
Infinite number of solutions
Step-by-step explanation:
-(2x + 4) + x = 3x − 4x − 4
-2x - 4 + x = -x - 4
-x - 4 = -x - 4
-4 = -4
This equation remains true for all x,
Hence infinitely many solutions
the isoceles triangle has a base that measures 14 units.the value of y, the length of each leg, must be
Answer:
greater than 7
Step-by-step explanation:
What are the possible remaining angle measures in triangle ABC with MA= 40°, AC=50, and BC=457
Answer:
The answer is
A : B= 121 C= 19, and B= 59, C =81
Step-by-step explanation:
Answer:
A : B= 121 C= 19, and B= 59, C =81
Step-by-step explanation:
A perfect square has an area of 169 ft. What is the length of
a single side of that square?
Answer:
13
Step-by-step explanation:
I used a calculator.
What is the volume of the following rectangular prism? 9/5 2/3
Answer:
the answer is 1 1/5
Step-by-step explanation:
what i did was 9/5 times 2/3 which got me 1 1/5
Hope this helpshope this is right ask questionshave a nice dayWhat is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 3)?
X^2 +14x -8 / x-3
= x + 17 with a remainder of 43
See attached picture for solution.
Answer:
43
Step-by-step explanation:
Insert 3 into the equation and solve to find your answer.
Just took the test.
what value of n makes the equation true in -2n + 1.8=3.2
Answer:
n=0.7
Step-by-step explanation:
-2n+1.8=3.2
-1.8 -1.8 subtract 1.8 from both sides
-2n=1.4 .
/-2 divide by negative 2 on both sides
n=0.7
hope this helped
Answer:
Your answer would be -0.7 (negative zero point seven)
Step-by-step explanation:
I know I’m late but hopefully it can help other people
Which ratio is equivalent to the ratios plotted on the graph?
Answer:
Line passed (0, 0), then goes through P(4, 6)
=> ratio x/y = 4/6 = 2/3
=> Option B is correct
Hope this helps!
:)
how many twentieths equal three-fifths
Answer:
12
Step-by-step explanation:
It takes twelve 1/20 tiles to exactly cover three 1/5 tiles, so 35=12/20.
The number of twentieths required to make three fifths is required.
Twelve twentieths equal to three-fifths
The question can be rephrased as "How many times do you have to add [tex]\dfrac{1}{20}[/tex] to get [tex]\dfrac{3}{5}[/tex]"
The end result should be [tex]\dfrac{3}{5}[/tex]
Let the number of times be [tex]x[/tex]
[tex]x\times \dfrac{1}{20}=\dfrac{3}{5}\\\Rightarrow x=\dfrac{3}{5}\times 20\\\Rightarrow x=12[/tex]
So, twelve twentieths equal to three-fifths.
Learn more:
https://brainly.com/question/20616889
https://brainly.com/question/918663
The sale price of a drum kit in the UK is 950 Pounds + VAT (Value Added Tax), where VAT is a sales tax of 20%. After some negotiation, the owner of the store agrees to give Bob a 12% discount on the drum kit. What is the total price that Bob pays, including VAT? Answer in Pounds and round your answer to the nearest pence (1 pence=1100Pound).
Note: VAT is a sales tax that gets calculated before a discount is applied.
Answer:
Step-by-step explanation:
Sale price = 950 pounds + vat
Vat = 20%
Value vat = 20/10 × 950 = 190 pounds.
Since the vat is calculated before a discount is applied, it means that the amount on which the discount was applied is
950 pounds
The value of the discount would be
12/100 × 950 = 114 pounds
The amount to be paid including vat is
(950 - 114) + 190 = 1026 pounds
Find the distance between the pair of points
(7, -2) and (11,-2)
(-5,2) and (-5,4)
(8,-10) and (5, -10)
Pls answer fast I REALLY NEED THE ANSWERS :)
What is the solution to the inequality |X-4|<3?
-7
1
x < -7 or x < -1
x> 1 or x<7
mutlak değerden + veya- çıkar.
|X-4|<3
-3 <x-4 <3
-3+4 <x <3+4
1 <x <7
The solution to the inequality |x-4| < 3 is x> 1 or x<7
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
|x-4| < 3.
Simplifying,
-3 < x - 4 < 3
Adding 4 to all sides,
1 < x < 7
Therefore, the solution is 1 < x < 7.
To learn more about the inequality;
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Meghan needs to board her cats and dogs at a kennel while she is on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00. Animal Spa charges $35.50 for a cat and $50.50 for a dog, for a total cost of $222.50.
Write a system of equations to represent each charge. Let x represent the number of cats and let y represent the number of dogs.
Pet Hotel: ?
Animal Spa: ?
Answer:
Pet Hotel: 42.50 x + 64 y =277
Animal Spa: 35.50x + 50.5y = 225.50
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each place:
For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .
Mathematically speaking:
Pet hotel: 42.5 x + 64 y =277
Same process for Animal Spa:
Animal Spa: 35.5 x + 50.5y = 225.50
The system is:
42.5 x + 64 y =277 (Pet Hotel)
35.5 x + 50.5y = 225.50 (Animal Spa)
simplify the expression
Answer:
4k(2k² - 5k - 4) + 5(2k² - 5k - 4)
8k³ - 20k² - 16k + 10k² -25k - 20
8k³ - 10k² - 41k - 20
Thus its G
So the right answer is of option G.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
A square picture frame encloses an area of 29 square inches. Its owner claims that the frame sides are between 5.25 and 5.35 inches long. Is the owner correct? Why or why not?
Side length = ______ inches
Answer:
Side length = 5.3851 inches
Step-by-step explanation:
area for square is given by [tex]side^2[/tex]
here area is given
lets calculate side now
[tex]29 = side^2\\=>\sqrt{29} =side \\=>5.3851[/tex]
Thus, we see length of side is 5.3851 which is greater than 5.35 and does not fall between 5.25 and 5.35.
Hence , owner is not correct.
Which equation should be used to find the volume of the figure?
8 in.
10.jn.
4 in.
6 in
V=(6)(418)
/ -2(6)4)8)
v=3(0)(4)(10)
Mark this and return
An equation which should be used to calculate the volume of the geometric figure (see attachment) is: A. V = 1/3(6)4)(8).
How to calculate the volume of a pyramid?Based on the geometric figure shown, we can logically deduce that it is a pyramid. Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.b is the base area.Substituting the parameters into the formula, we have:
Volume = 1/3 × 6 × 4 × 8
Volume = 1/3(6)4)(8).
Read more on pyramid here: brainly.com/question/16315790
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Solve for x.
x + 23 = -22
Enter your answer in the box.
Answer:
X= -45
Step-by-step explanation:
Subract 23 from both sides to solve for x.
Answer:
x = -45
Step-by-step explanation:
x + 23 = -22
x = -22-23
x = -45
Given data set:
6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8
Find the mean, median, and mode of the data set.
Answer:
see below
Step-by-step explanation:
6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8
First put the numbers in order from smallest to largest
1,1, 2,6,6, 7, 7, 7, 8, 9, 12
The mean is adding all the numbers and dividing by the number of numbers
( 1+1+ 2+6+6+ 7+ 7+ 7+ 8+ 9+ 12 )/11
66/1 =6
The mean is 6
The median is the middle
There are 11 terms
11/5 = 5.5 so 6 is the middle number
1,1, 2,6,6, 7, 7, 7, 8, 9, 12
7 is the median
Mode is the most often
7 appears three times so it is the mode
