Answer:
$98,750
Step-by-step explanation:
6.5% = 0.065
50,000 x 0.065 = 3250.
3250 x 15 = 48,750
50,000 + 48,750 = $98,750
The right triangle below is dilated by a scale factor of 3. Find the perimeter and area
of the right triangle below, as well as the perimeter and area of the dilated right
triangle. Figures are not necessarily drawn to scale.
24
10
26
Perimeter of given right triangle
units
Perimeter of dilated right triangle
units
units
Area of given right triangle
units?
Area of dilated right triangle
Submit Answer
Answers:
For original triangle, perimeter is 60. The area is 120.
The dilated triangle, perimeter is 180. The area is 1080.
Step-by-step explanation:
24 times 3=72
10 times 3=30
26 times 3=78
72+30+78=180
Perimeter of diliated triangle
1/2btimesh=area
1/2 30 times 72=1080 square units
Perimeter of original triangle
24+10+26=60 units
1/2 10 times 24=120 square units
From the picture attached,
Measure of the base of the small right triangle = 10 units
Height of the triangle = 24 units
Measure of the Hypotenuse = 26 units
Since, Perimeter of the triangle = Sum of the measures of the sides of the triangle
Therefore, Perimeter = 10 + 24 + 26
= 60 units
Area of the triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(24)[/tex]
= 120 units²
Given triangle is dilated by a scale factor of 3 to form the bigger triangle,
Scale factor = 3
Since, expression for the scale factor is given by,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
Therefore, length of the base of the dilated (bigger) triangle will be,
[tex]3=\frac{\text{Measure of the base of the original}}{10}[/tex]
Measure of the base of the original = 30 units
Height of the dilated triangle will be,
[tex]3=\frac{\text{Height of the dilated triangle}}{24}[/tex]
Height = 24 × 3
= 72 cm
Hypotenuse of the dilated triangle will be,
[tex]3=\frac{\text{Hypotenuse of the dilated triangle}}{26}[/tex]
Hypotenuse = 78 cm
Now the perimeter of the dilated triangle = 30 + 72 + 78
= 180 cm
Area of the dilated triangle = [tex]\frac{1}{2}(30)(72)[/tex]
= 1080 cm²
Learn more,
https://brainly.com/question/8517549
**The lines are PARALLEL**
1. Identify a pair of corresponding angles.
2. Identify a pair of alternate interior angles.
3. Identify a pair of alternate exterior angles.
4. Identify a pair of vertical angles.
5. If the measure of angle 2 is 35°, what is the measure of angle 6?
6. If the measure of angle 2 is 35°, what is the measure of angle 8
Answer:
1. angle 2 and angle 6
2. angle 4 and angle 5
3. angle 1 and angle 8
4. angle 6 and angle 7
5. 35
6. 145
Step-by-step explanation:
can someone please do
5,6,7, and 8
Answer:
Step-by-step explanation:
General form of circle: (x - h)² + (y- k)² = r²
r - > radius and h ,k are the coordinates of the center.
5) (x - 5)² + (y- 1)² = 64 = 8²
radius: 8 ; Center (5 , 1)
6) (x + 7)² + (y- 2k)² = 324 = 18²
Center = ( -7 , 2) ; radius = 18 ; diameter = 18 *2 = 36
7) (x )² + (y + 10)² = 42.25 = 6.5²
Center = (0 , - 10); radius = 6.5 ; diameter = 6.5*2 = 13
8) (x - 6)² + (y + 1)² = 80 = (4√5)²
Center =(6, -1) ; radius = 4√5
Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for her childcare business. And for her lawn care business, she has to pay $275 for materials, and pays her associates $10 per hour.
Write two functions, C(x) and L(x) to represent the amount of money she will need to run her childcare business and her lawn care business.
C(x)=
L(x)=
PLSSSS HEP
Answer:
C(x) = 100 + 12x
L(x) = 275 + 10x
Step-by-step explanation:
Let x = no. of hours
C(x) = 100 + 12x
L(x) = 275 + 10x
What number is 25% of 5/8?
(( Can someone please give the formula, this is like reading a foreign language to me lol ))
Thank you.
A percentage is essentially a fraction, but lazily written. Think of a percent as 25/100, or 0.25.
Now multiply the two.
0.25x5/8.
We need to convert 5/8 to a decimal, which is 0.625.
0.25x0.625=0.15625.
Now convert the decimal to a fraction, which is 5/32.
---
hope it helps
I NEED THIRD TASK PLEASE HELP
Answer:
Sssssnake ssssssnake sssssnake.........../
Pythagorean Theorem Formula pls help
Answer:
Part A- angle A and angle c
Part b- 17 squared - 8 squared =root 225 = 1
part c- 15 squared - 12 squared = root 81 = 9
Step-by-step explanation:
Pls give me brainliest if u can!
You estimate that it will take five years to complete your college education. Your parents want to invest enough money today at 12 per cent to enable you to withdraw $5000 at the end of each year for the next five years with nothing left at the end of the five-year period. How much money do they need today?
Answer:
the present value is $18,025
Step-by-step explanation:
The computation of the amount that should be needed today is given below:
Given that
NPER = 5
RATE = 12%
PMT = $5,000
FV = $0
The formula is shown below:
=-PV(RATE,NPER,PMT,FV)
AFter applying the above formula, the present value is $18,025
What is the answer to
5/6 + -4/9 - -2
Answer:
The answer is 2.38888888889.
Step-by-step explanation:
Hope this helps! ^w^
Answer:
43/18
Step-by-step explanation:
Please help a girl out:
Answer:
19.2
Step-by-step explanation:
its honestly really easy lol
Answer:
20 :)
Step-by-step explanation:
it's 20
160% of 20 is 32
the answer to your question is 20
Zack has an old car. He wants to sell it for 60% off the current price. The
market price is $500. How much money would he receive in exchange for
the car if he were able to sell it at that rate?
Answer:
300 dollars
Step-by-step explanation:
60% of 500
(60/100) * 500 = 300
HELLPPPP ANSWERRR AND EXPLAIN!!!!!
Answer:
No
Step-by-step explanation:
This is because K and B don't share the same angle measurement. They both will be different numbers that must equal 180 degrees. With that K will be corresponding with J while B will be corresponding with D.
Hope this Helped
Please help this is due tonight please :)
Answer:
(-3,4)
Step-by-step explanation:
1.4 divide by 128.8 what is it but if want to help hurry please
Answer:
0.01086956521
Step-by-step explanation:
1.4 / 128.8 = 0.01086956521
Simplify (5x2 + 3x + 4) + (2x2 − 6x + 3).
7x2 + 9x + 7
7x2 + 3x + 7
7x2 − 3x + 1
7x2 − 3x + 7
7x^2 - 3x + 7
Step-by-step explanation:
5x^2+3x+4+2x^2-6x+3
7x^2-3x+7
Answer: D
Explanation: You add 5x2 and 2x2 giving 7x2. You then add 3x and 6x but because there is 2x2-6x you actually would just leave it as is (In this instance). Then add 4 and 3 giving you 7. Therefore, The answer is 7x2-3x+7
∠A and ∠B are vertical angles. If m∠A=(5x+5)∘and m∠B=(4x+29)∘, then find the measure of ∠A.
Answer:
∠A = 175∘
Step-by-step explanation:
∠A = ∠B
5x-5= 4x+29
x = 34
∠A= 34*5+5
∠A=170+5=175
5x+5= 4x + 29
-5
5x=4x+24
-4x -4x
x=24
m∠A=5x+5
m∠A=5(24)+5
120+5
Answer=125
what is 3 1/4 + 1 3/8
Answer:
4 5/8
Step-by-step explanation:
Answer:
37 /56
Step-by-step explanation:
easy points here pls help tho lol
what is perpendicular to x=5
Answer:
The slope is 0 .
Step-by-step explanation:
Answer please helpppp!!!
Answer:
Answer: 4 feet long :)))
Answer: exit and see what It looks like them look it up then put quizziz them find the one you are looking for teh it will give you the creater then press perview then click show answers so you will get the answers.
Step-by-step explanation:
I had 200,00 stickers and I gave 578 to my sister how many would I have
Answer:
19422
Step-by-step explanation:
20000-578 to solve the problem
Which expression is equivalent to 5(x+2) -7(x+2)?
Answer:
−2x−4
Step-by-step explanation:
5(x+2)−7(x+2)
Distribute:
=(5)(x)+(5)(2)+(−7)(x)+(−7)(2)
=5x+10+−7x+−14
Combine Like Terms:
=5x+10+−7x+−14
=(5x+−7x)+(10+−14)
=−2x+−4
A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)
Answer:
18:12
simplified 3:2
this is the answer to your problem
The ration between boys and girls are - 18:12
when simplified- 3:2
What is the distance between...
-a and a?
Answer:
depends what the number is
Step-by-step explanation:
if its -7 and 7 then the distance would be 14
I really need help asap
Answer: unshaded point. Shaded to the right of the point
Step-by-step explanation:
12
SinA= for which of the following triangles?
16
A
B
А
16
16
12
12
B
ਹੈ
с
00
А
А
C
D
12
16
16
B
12
B
Answer:
I believe the answer is triangle A.
Step-by-step explanation:
Since we know that sine is opposite over hypotenuse, and that the sine is being taken from angle A, triangle A is the correct answer.
Hope this helps!
Find the values of x and y.
(7x - 23)°
(5x + 11)°
(10y -6)
X =
y =
Answer:
i have made it in above picture
x = 17
y = 9
hope it helps
line
Question 14. When solving the equation -14 = 7x + 6 what will the next stage of your working be?
Answer:
You would subtract 6 from each side.
Step-by-step explanation:
- 14 = 7x + 6
Subtract 6 from each side:
- 14 - 6 = 7x + 6 - 6
7x = - 20
Divide each side by 7:
7x ÷ 7 = - 20 ÷ 7
x = 2 and 6/7
Subtract the fractions. Simplify, if possible.
3/4 - 2/3 =
Answer:
[tex] \frac{9 - 8}{12 } \\ = \frac{1}{12} \\ = 0.8333333...[/tex]
Amy mows lawns to earn money for a new phone. She charges $8.15 an hour. How much money will she earn if she mows for 4.5 hours? Show your work for full credit.
Answer:
every hour is $8.15 if 4.5hours her mows is $33.15
Answer:
$36.68
Step-by-step explanation:
If she mows for 4.5 hours, you multiply that by how much she makes an hour. each hour she makes $8.15 each hour.
4.5 * 8.15= 36.675
you'd round up to the 100ths place because of the 5