Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm
Y=-5/8x+3/2 in standard form
Answer:
y=0.625
Step-by-step explanation:
Answer:
Sorry about the way it is, I don't know how to fix it But I hope you can try and understand it.
Step-by-step explanation:
y
=
3
8
x
−
3
4
in standard form is
3
x
−
8
y
=
6
.
Explanation:
Standard form for a linear equation is
A
x
+
B
y
=
C
.
y
=
3
8
x
−
3
4
Simplify
3
8
x
to
3
x
8
.
Subtract
3
x
8
from both sides of the equation.
−
3
x
8
+
y
=
−
3
4
Multiply both sides by
−
1
.
−
3
x
8
(
−
1
)
+
y
(
−
1
)
=
−
3
4
(
−
1
)
=
3
x
8
−
y
=
3
4
Multiply both sides by
8
.
(
3
x
)
⋅
8
8
−
y
(
8
)
=
(
3
)
⋅
8
4
=
(
3
x
)
⋅
8
1
8
1
−
y
(
8
)
=
(
3
)
⋅
8
2
4
1
=
3
x
−
8
y
=
6
The expression below can be written in simplest form as
4(2x-5)+7(x+2)
4(2x-5)+7(x+2)
bracket means multiplying
do 4(2x+5) first
4*2x=8x
4*-5=-20
7*x=7x
7*2=14
8x-20+7x+14
do the x first
8x+7x=15x
-20+14=-6
answers: 15x-6 or -6+15x
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year
Answer:
Step-by-step explanation:
Step one:
given data
Maya
P=$1650
r=5%= 0.05
t= 4 years
The simple interest expression is
A=P(1+rt)
A=1650(1+0.08*4)
A=1650(1+0.32)
A=1650(1.32)
A=1650*1.32
A=$2178
James
P=$1600
r=8%= 0.08
t=4years
The compound interest expression is
A=P(1+r)^t
A=1600(1+0.08)^4
A=1600(1.08)^4
A=1600*1.360
A=$2176
After 4 years Mayas' balance is $2178
After 4 years James' balance is $2176
the difference is =2178-2176=$2
Please help this is do soon!:))
Is it:
A: g(x) =f(x) +2
B: g(x) =f(x) -4
C: g(x) =1/4f(x)
D: g(x) =4f(x)
Answer:
i think it is c but sorry if im wrong
Step-by-step explanation:
I will give lots of points for this or.2
Answer:
Step-by-step explanation:
10+banna x orange
Answer:
Apple=10. Banana=6. Orange=6.
Step-by-step explanation:
2 bags of cat food cost $8.50, how much would 5 bags of cat food cost ?
Answer:
$42.05
Step-by-step explanation:
First do $8.50/2=4.25
This means that one bag of cat food is $4.25
Now you multiply 5*4.25=$21.25,
I hope this helps and is correct!
Is 1.32332333... a rational or irrational number?
Answer:
rational.
Step-by-step explanation:
select the correct answer.
simplify the following expression.
(1/7x +3/8) +(2/8x - 1/8)
A. -5/63x +1/2
B.23/63x +1/2
C.3/16x + 1/4
D.23/63x + 1/4
I need help please anyone can help me !!!!
Answer:
5.15
Step-by-step explanation:
I hope this helps have a great day
POINTS plus will mark BRAINLIEST for the correct answer
Answer:
I believe the answer is 9
Step-by-step explanation:
The most balloons she has is 180 and she can make 20 animals with that so 180/20=9
Please help ASAP! Due tonight!
Answer:
D. x = √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
leg a = 4
leg b = 1
hypotenuse c = x
Step 2: Solve for x
Substitute: 4² + 1² = x²Exponents: 16 + 1 = x²Add: 17 = x²Isolate x: √17 = xRewrite: x = √17i had 50 candies yesterday, and now i have 35. find the percent of decrease
Answer: you lost 15 candies
Step-by-step explanation:
Answer:
30% is the decrease percent
at a candy store you get 7 giant lollipops for $16.12 how much would it cost to buy 6 lollipops?
Answer:
$13.80
Step-by-step explanation:
Divide $16.12 by 7 which equals 2.30, then multiply 2.30 by 6 to get ^^
Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Answer:
713 paint balls
Step-by-step explanation:
The inequality equation for the above question is given as:
$18 + $0.08 × b ≥ 75
Where b = number of paint balls
$18 + 0.08b ≥ 75
0.08b ≥ 75 - 18
0.08b≥ 57
b ≥ 58/0.08
b ≥ 712.5
b≥ 713 paint balls
Hence, Carolina would need to buy 713 paintballs along with the entrance fee to get the promotion.
find 2 consecutive integers whose sum is -97
Answer:
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
Step-by-step explanation:
Let the first integer: [tex]x[/tex]
As we are looking for a consecutive integer, so
The second integer would be: [tex]x+1[/tex]
We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.
[tex]x+\left(x+1\right)=-97[/tex]
[tex]x+x+1=-97[/tex]
[tex]2x+1=-97[/tex]
[tex]2x=-98[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-98}{2}[/tex]
[tex]x=-49[/tex]
Therefore,
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
what is 852,442 rounded to the nearest thousand?
Answer:
852,000
Step-by-step explanation:
What’s the answer to this please, thanks!
Answer:
8 < x < 16
Step-by-step explanation:
Consider an angle slightly less than 180 between the 4 and 12 ft sides. The measure between the 2 end points is slightly less than the total of the two sides. So the greatest length is 16.
Consider an angle slightly more than 0 between the 4 and 12 ft sides. The measure between the 2 end points is slightly more than the difference between the two sides. So the lowest length is 8.
If 3x + 6 = 213x plus 6 equals 21, what does x + 2x plus 2 equal?
Answer:
17
Step-by-step explanation:
PLS GIVE BRAINLIEST
Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.
Each year, Andrea donates a total of $800 for scholarships at her local community college. This year, she wants the amount she donates for liberal arts to be three
times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.
The equation is Andrea will donate $ for business scholarships and $ for liberal arts scholarships.
Answer:
The equation is [tex]L + B = \$800[/tex]
Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.
Step-by-step explanation:
Given
Represent Liberal Arts with L and Business with B
From the question, we have that:
[tex]L = 3 * B[/tex]
and
[tex]Total = \$800[/tex]
Required
Determine how much she donates for each
The total L + B is 800
i.e.
[tex]L + B = \$800[/tex]
Substitute 3 * B for L
[tex]3 * B + B = \$800[/tex]
[tex]3 B + B = \$800[/tex]
[tex]4B = \$800[/tex]
Solve for B
[tex]B =\$800/4[/tex]
[tex]B =\$200[/tex]
Recall that :
[tex]L = 3 * B[/tex]
[tex]L = 3 * \$200[/tex]
[tex]L = \$600[/tex]
-59 = m - 11, m = ? i dont know the answer
Answer:
m = -48
Step-by-step explanation:
m - 11 = -59 (add 11 on both sides)
m = -48
Hope this helps!!
Answer:
m = -48
Step-by-step explanation:
m - 11 = -59
you add the 11 to both sides crossing it out from the left side and then you get an equation that looks like this.
m = -59 + 11
Now you can just solve it like a simple subtraction problem, -59 + 11 = -48
Hope I was able to help :)
jack needs 22 pirates for every 2 ships he manages
Need Answer ASAP only 5 min
Answer: 70
Step-by-step explanation:
1. Divide 528 by 264 to get 2
2. Do 2 times 35 to get 70
What is the same as 1.5 in a fraction
Answer:
the answers is 3 over 2 in fraction form
Answer:
1 1/2 or 3/2
Steps:
As we know .5 = 1/2
If we take one the 1 out of 1.5 we can use it to connect 1 and 1/2
A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). $ V(x) = 0.000001x^3 - 0.01x^2 + 50x $ The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). $ R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500) $ (a) Find the total cost function C. What is the profit for the company if 2,600 units are produced and sold each week?
Answer:
P=$-303,424Step-by-step explanation:
given data
fixed cost= $14,000
variable cost function
[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]
revenue function
[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]
a. we know that total cost C=fixed cost plus variable cost
C=14000+0.000001x^3 - 0.01x^2 + 50x
[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]
profit is given as revenue minus the total cost
P=R(x)-C (x=2600)
[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]
substitute x=2600
[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]
[tex]P=-135200+390000-(1400+17576-67600)[/tex]
[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]
1. When one-half of a number is subtracted
from its thrice, it gives 2500. Find the
number.
Answer:
let the number be x
thrice of the number=3x
one-half of the number=(1/2)x
so from the expression we:
3x-x/2=2500
(6x-x)/2=2500
6x-x=2*2500
5x=5000
x=5000/5
x=1000
No texto Nascimento do Queijo,qual das crianças criou a teoria mais distante da realidade?
Answer:
ejre' fe trerxto fno
Step-by-step explanation:
If Z is the incenter of triangle TUV, WZ = 8x - 22 and ZX = 3x +
8, find ZV. Round to the nearest tenth, if necessary.
PLS HELP
GEOMETRY
9514 1404 393
Answer:
ZV ≈ 42.8
Step-by-step explanation:
WZ and ZX and ZY are each radii of the incircle, so are the same length.
8x -22 = 3x +8
5x = 30
x = 6
ZX = ZY = 3x +8 = 3(6) +8 = 26
ZV is the hypotenuse of right triangle ZVY, which has side lengths of 34 and 26. So, the length of ZV can be found from the Pythagorean theorem as ...
ZV = √(34² +26²) = √1832
ZV ≈ 42.8
Solve similar triangles (advanced)
Answer:
x = 24Step-by-step explanation:
6 = x
8 x + 8
8x = 6x + 48
8x - 6x = 48
2x = 48
x = 48/2
x = 24
The value of x is 6.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given:
The triangle ABC and AED are similar triangles.
So,
the corresponding sides are in proportion of each other.
ED/CB = AD / AB
8/6 = 8/x
x = 6
Therefore, the value of x is 6.
To learn more about the similar triangles;
https://brainly.com/question/14926756
#SPJ2
Chloe drives from her house to her Grandma's house 48 miles away in an hour and 12 minutes. How far could she travel in 9 minutes?
a.12 miles
b.6 miles
c.8 miles
d.24 miles
Answer:
B. 6 miles
Step-by-step explanation:
first you convert the hour and 12 minutes into only minutes
72 minutes
then you set up in a fraction
48/72 = x/9
then solve for x, if you use a calculator it will give you 6
Original price: $72.00
Markdown: 33% please i rlly need help thanks mate
Answer:
$48.24
Step-by-step explanation:
33% of 72 = 23.76
72 - 23.76 = 48.24