Answer:
20.00% increase, lmk if you need an explaination
A triangle has a perimeter of 280 cm, and its side lengths are a, b and c respectively. If
a:b= 2:3, b:c=4:5, find the length of each side of the triangle.
Answer:
The length of the sides are 64 cm, 96 cm and 120 cm.
Step-by-step explanation:
Perimeter of a triangle:
The perimeter of a triangle is the sum of it's sides.
A triangle has a perimeter of 280 cm, and its side lengths are a, b and c respectively.
This means that:
[tex]a + b + c = 280[/tex]
a:b= 2:3
This means that:
[tex]\frac{a}{b} = \frac{2}{3}[/tex]
[tex]2b = 3a[/tex]
[tex]b = \frac{3a}{2}[/tex]
b:c=4:5
This means that:
[tex]\frac{b}{c} = \frac{4}{5}[/tex]
[tex]4c = 5b[/tex]
[tex]c = \frac{5b}{4}[/tex]
[tex]c = \frac{5*3*a}{4*2} = \frac{15a}{8}[/tex]
At the original equation:
We replace b and c in function of a. So
[tex]a + b + c = 280[/tex]
[tex]a + \frac{3a}{2} + \frac{15a}{8} = 280[/tex]
Multiplying everything by 8
[tex]8a + 12a + 15a = 280*8[/tex]
[tex]35a = 280*8[/tex]
[tex]a = \frac{280*8}{35}[/tex]
[tex]a = 64[/tex]
Sides b and c:
Since we have a, we can find sides b and c:
[tex]b = \frac{3a}{2} = \frac{3*64}{2} = 3*32 = 96[/tex]
[tex]c = \frac{15a}{8} = \frac{15*64}{8} = 15*8 = 120[/tex]
The length of the sides are 64 cm, 96 cm and 120 cm.
7
A tablet computer listed at an original price of $250 is placed on sale for
20% off the original price. Bob, an employee of the store, gets an
additional 30% off the sale price. What price would Bob pay to purchase
the tablet computer?
$100
$125
$200
$140
Answer:
$140
Step-by-step explanation:
250 decrease 20% =
250 × (1 - 20%) = 250 × (1 - 0.2) = 200
200 decrease 30% =
200 × (1 - 30%) = 200 × (1 - 0.3) = 140
Why is a data point with an x-coordinate of 0 a good point to use when creating a trend line for a data set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points (0,481) and (10,39,). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea level?
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
A linear equation is given by:
y =mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the altitude of the balloon at time x.
Given that a trend line passes through the point (0,481) and (10,39), the equation of the trend line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]
At 454.6 ft:
454.6 = -44.2x + 481
-26.4 = -44.2
t = 0.6 minutes
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
Find out more at: https://brainly.com/question/13911928
Goran is participating in a 6-day cross-country biking challenge. He biked for 51, 65, 62, 46, and 62 miles on the first five
days. How many miles does he need to bike on the last day so that his average (mean) is 56 miles per day?
Answer:
i dont understand?
Step-by-step explanation:
Find the 11th term of the geometric sequence 2, -6, 18, ...
How many people survived the water park?
Answer:
70 people visited the waterpark.
Step-by-step explanation:
Since you know that 250 people were surveyed and of those people, 28% of them visited the waterpark, you have to find out what 28% of 250 is. 28% of 250 is 70, so 70 people visited the waterpark.
I hope this helps you.
Write an equation for line L in mpoint-slope form and slope-intercept form.
L is perpendicular to y = 5x.
Answer:
X and A half marks Nathan and na ha na na he and na na he Meena new q me new me know if you
Step-by-step explanation:
erert4 Ka a manual Mrs Ann messed hall hall USS jam
Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.
Answer:
c it offers lower interest rates
the equation A=6s to the power of 2 can be used to calculate A the surface area of the cube with edges lengths using this equation what is the surface area of a cube with an edge length of 5 inches?
Answer:
150 in^2
Step-by-step explanation:
The surface area, in general, is A = 6s^2, where s is the length of one side of the cube.
If the edge length is 5 in, then the surface area of the cube is
A = 6(5 in)^2 = 6(25 in^2) = 150 in^2
what is 656 ÷ 4
we need to know how to solve this equation.
Answer: 164
Step-by-step explanation: 656 /4
164
How do I use the definite integral to find the area between x-axis and f(x) over the indicated interval
Answer:
(A). 2
Step-by-step explanation:
FYI :
[tex]\int\limits^4_1 {x^{-\frac{1}{2} } } \, dx[/tex] = 2√x (from 1 to 4) = 2√4 - 2√1 = 2
Translate into an equation.
The sum of eight and a number, x, is four.
Answer:
4=8+x
Step-by-step explanation:
PLEASE ANSWER I WILL GIVE BRAINLIEST AND LOVE U FOREVER!
Answer:
im not even sure this is right
Step-by-step explanation:
A=a+b 2h=2+1.1
2·3.4=5.27
The polygons are similar. Find the value of x.
A
14
F 7 R
12
13
S
F
13
G
8
26
X =
Answer:
If the two polygons are similar, then their sides are proportianal.
We see that sides in the larger polygon are two times as long as the sides of the smaller polygon.
So, if the larger polygon has a side length of 13, then the smaller polygon would have a side length of 13/2, or 6.5
Let me know if this helps!
What is the word form for 407,219
Answer:
four hundred seven thousand two hundred nineteen
Step-by-step explanation:
Answer:
Four hundred seven thousand two hundred nineteen
Step-by-step explanation:
The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?
Answer:
575
Step-by-step explanation:
500 x .15 = 75
500 + 75 =575
write in exponential notation (-3)^6/ (-3)
Answer:
-3⁵
Step-by-step explanation:
3⁶ / -3 = -3⁶ * -3⁻¹ = -3⁶⁻¹ = -3⁵
Answer:
(-3)⁶/(-3) = {(-3)×(-3)×(-3)×(-3)×(-3)×(-3)}/(-3) = (-3)⁵
-3⁵ is the right answer.what is the square of x^2+4x-5=0
Answer:
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Step-by-step explanation:
(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥
20. Juwan makes 12 baskets in 40 minutes. If he continues making baskets at this rate, how
many baskets will he make in 90 minutes? REMEMBER TO INCLUDE THE UNIT OF
MEASURE (BASKETS) WITH YOUR ANSWER.
at30 cestas é a respos
“Half of a number (n) is at least 22."
translate and solve
Answer:
n >_44
Step-by-step explanation:
1/2n>_22
(times 2 on both sides)
n >_44
*** >_ is greater than or equal to sign
Helpppppp plssss
Consider the numbers z= 2 + 5i, w = -3- 2i, and u=-1+2i.
z+w is equal to -1+vi
w-u is equal to - 4i
u + w is equal to -4 -
Answer:
Step-by-step explanation: 4i = i4 so divide that into one half and you get 4r
Answer:
3, 2, 0
Step-by-step explanation:
just trust me
Solve this system by substitution. y = 5x - 15 y = 2x - 6 *Remember to write your answer as a coordinate point (x,y Solve this system by substitution
If DEFG is a rectangle,
find the measure of DEG.
how do i do this
Answer:
It is 68
Step-by-step explanation:
[tex]2x - 10 = x + 6 \\ 2x - x = 6 + 10 \\ x = 16[/tex]
[tex]let \: (y) \: the \: angle \: which \: wanted \\ 90 = y + (2x - 10) \\ 90 = y + (32 - 10) \\ y = 90 - 22 \\ y = 68[/tex]
Thanks alot
6.1 - 5.4 - ( 7.7)
help
Answer:
-7
Step-by-step explanation:
i used a calculator
20.
Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?
F 11 + 23i
G 15 + 19i
H 19 + 23i
J 23i
Answer:
11+23i
simplified using Foil
Sidney wants to increase the amount of
time he spends studying.
Answer:
if this is ur question, then ur answer is 53
Help it’s 50% of my grade
Answer:
(1/2)x+(1/4)=x
x=0.5
3x+3=2(x+7)
x=11
2(x-5)+7=x+8
x=11
0.8x+5=0.2(40-x)
x=3
5(x-1)-6x=-11x
x=0.5
6(x+2)-x=4(x+4)+7
x=11
(1/2)(x+8)+(3/2)x=10
x=3
Step-by-step explanation:
(1/2)x+(1/4)=x
x-0.5x=0.25
0.5x=0.25
x=0.5
3x+3=2(x+7)
3x+3=2x+14
3x-2x=14-3
x=11
2(x-5)+7=x+8
2x-10+7=x+8
2x-x=8+10-7
x=11
0.8x+5=0.2(40-x)
0.8x+5=8-0.2x
0.8x+0.2x=8-5
x=3
5(x-1)-6x=-11x
5x-5-6x=-11x
11x-x=5
10x=5
x=0.5
6(x+2)-x=4(x+4)+7
6x+12-x=4x+16+7
6x-4x-x=16+7-12
x=11
(1/2)(x+8)+(3/2)x=10
0.5x+4+1.5x=10
2x=6
x=3
Larry made 2.5 liters of orange juice and drank 750 milliliters of it. How much orange juice is left?
Answer:
1.75 liters is left
Step-by-step explanation:
1ml is 1000ml
Answer:
1,750 milliliters left.
Step-by-step explanation:
2.5 liters equal 2,500 milliliters. So u do 2,500 - 750 which gives you 1,750
Use the ruler provided to measure the radius of the circle to the nearest centimeter.
Which measurement is closest to the area of the circle in square centimeters?
Answer
its B
Step-by-step explanation:
Answer:
43.96 2 cm2
Step-by-step explanation:
Use the remainder theorem to find P(-3) for P(x) = 2x° +5x² +5.
Specifically, give the quotient and the remainder for the associated division and the value of P(-3).