Answer:
Perimeter of ABCD = 56 units
Perimeter of WXYZ = 140 units
Step-by-step explanation:
To find the perimeter of ABCD, find the sum of all sides
18 + 18 + 10 + 10 = 56
To find the side lengths of WXYZ, use the equation: [tex]\frac{image}{pre-image}[/tex]
45/18 = 2.5
You can also cross multiply to find the missing side lengths, but I'll show you this other way...
Multiply the pre-image side lengths by 2.5
18 × 2.5 = 45
10 × 2.5 = 25
45 and 25 of the new side length of WXYZ
To find the perimeter of WXYZ, find the sum of all sides.
45 + 45 + 25 + 25 = 140
WX = 45, XY = 25, YZ = 45, ZW = 25
Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of
$48,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $12,000 down payment be?
Their down payment is
% of the purchase price.
Answer:
Part A
The down payment of $48,000 is 20% of the purchase price
Part B
A $12,000 down payment will be 5% of the purchase price
Step-by-step explanation:
A percentage is the expression of the product of the ratio of two numbers and 100
The amount the investors buy the studio apartment = $240,000
The amount the investors have as down payment = $48,000
Part A
The ratio of the down payment the investors have and the amount the investors buy the apartment = 45,000/240,00 = 0.2
Therefore, their down payment is 0.2×100 = 20% percentage of their purchase price
Their $48,000 down payment is 20% of their purchase price
Part B
The percentage of the purchase price a $12,000 down payment would be is given as follows;
12,000/240,000 × 100 = 5%
Therefore, a $12,000 down payment will be 5% of the purchase price.
Which expression is equivalent to Cube root of 216 x cubed y Superscript 6 Baseline z Superscript 12?
6xy2z4
18xy3z6
36xy2z4
72xy3z6
Answer:
6xy²z^4
Step-by-step explanation:
[tex]\sqrt[3]{216x^3y^6z^12}[/tex] = ∛(6³)(x³)(y³)(y³)(z³)(z³)(z³)(z³) = 6x·y·y·z·z·z·z = 6xy²z^4
Answer:
A.6xy²z^4Step-by-step explanation:
I took the test and the person that is/was above me said the something but I just put the letter for faster response.
Patrice found a book that was 2 1/4 inches thick. She stacked it with another book that was the same thickness. How tall was the stack ?
Answer:
4.5. inches
Step-by-step explanation:
Given that:
Thickness of first book = 2 1/4 inches
Thickness of second book = same as first = 2 1/4 Inches
Stacking both books together, height of stack will be :
2 1/4 inches * 2
Height of stack = 9/4 * 2
Height of stack = 18 /4 = 4.5 inches
please help me solve this.
Answer:
X=7 X=-1
Step-by-step explanation:
4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.
(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those
X=7 X=1 equating those parenthesis to 0 gives you that
2. Lena can finish 2 math homework problems in 15 minutes. At this rate, how many problems can she finish in 75 minutes? Use the rate table below to find the answer.
10.
Because the ratio is how many problems:How much time so it is 2:15
Multiply each side by 5 10:75
So that means 10 problems in 75 minuets.
HOPE THIS HELPED!!!
Answer:
10
Step-by-step explanation:
Set up the following proportion.
2 questions /15 minutes = x questions / 75 minutes.
Notice that both ratios are set up the same way -- questions / time. All proportions are set up the same way.
Mulltiply both sides by 75
2 * 75 / 15 = x
2 * 5 = x
x = 10
She would be able to solve 10 problems in 75 minutes.
Need help will give brainlest please this practice test makes no sense need explanation
Answer:
D
Step-by-step explanation:
Well, I can tell the answer just by looking:
- The shape moved counterclockwise by one quadrant
- The shape got SMALLER
- Rotations go counterclockwise. So that's a 90 degree rotation.
- Shape gets smaller so it's dilated by a number less than 1. Dilate by 1/2
Mr. Smith is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30º. What is his horizontal distance to the cornfield?
Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
Hola plz answer
Give points n thanks
Answer:
460 pounds.
Step-by-step explanation:
5% of 2,300 is 115. Since it is in there for four years, you multiply 115 by 4 to get 460.
What is the value of x rounded to the nearest hundredth?
Question 4 options:
67
94
73
59
Answer:
73 could be wrong
Step-by-step explanation:
55x55+48x48=5329
✓5329
73
Marking brainliest!
In your own words, why does erosion mean?
Answer:
the process of being eroded by natural agents such as wind, water, ice, etc.
this process moves sediment or material from one place to another
Step-by-step explanation:
Solve this equation. Type your answer for the solution for "X" in the blank. If your answer is negative, do not include any spaces. If your answer is a fraction, use the "/" with no spaces.
x/5 -8 = -4
[tex]3(6 + 7) [/tex]
Answer:
39
Step-by-step explanation:
3(6+7)
=18+21
=39
or
3(6+7)
=3(13)
=39
Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *
Answer:
See answers below
Step-by-step explanation:
Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *
a) Note that 1000g = 1kg
8250g = x
1000 * x = 8250
1000x = 8250
x = 8250/1000
x = 8.25kg
b) 10 3/4 l to ml
1l = 0.001ml
10 3/4 l = x
Cross multiply
1 * x = 10 3/4 * 0.001
x = 43/4 * 0.001
x = 0.043/4
x = 0.01075ml
c) 6m 5cm to cm
Since 1m = 100cm
6m 5cm
= 6(100) + 5
= 600 + 5
= 605cm
d) 600km 50m to m
1000m = 1km
x = 9km
x = 9000m
600kn 50m
= 9000m + 50m
= 9050m
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
What is the image of the point (-5,2) under a translation of a shift right three and down 4?
A. (-2,-2)
B. (-8,6)
C. (-9,5)
D. (-15,-8)
Answer:
A- (-2,-2)
Step-by-step explanation:
If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).
Hope this helped.
What is the cosine equation of the function shown?
Answer: f(x)=5cos(x+pi/3)+4
Step-by-step explanation: I just tool the quiz
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
Solving this system using substitution: 2x+6y=28/y=-5x
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
HELP ME PLEASE FOR THE SAKE OF GOD LOL
Answer:
Cells we are made of Stem cells
Red blood cells
White blood cells
Step-by-step explanation:
Question 8 - Find the mean
Answer:
3.6
Step-by-step explanation:
WE can add 0+2+2+2+2+3+3+3+4+4+4+4+4+5+5+5+5+5+5+5 to get 72. WE then divide by 20 and get 3.6
Brenda likes to swim when she is at her cottage. She swam 12 m north from her dock, and then 60 m east. How far will she have to swim if she wants to go directly back to the dock?
Answer:
72 m
Step-by-step explanation:
If Brenda is going 12m north and 60m east, that's a total of 72m because 12+60 = 72, so if Brenda wants to come directly back to the dock she will just have to follow her footsteps back 72m.
what is the area of this triangle?
Answer:
A = 21 sq units
Step-by-step explanation:
base = 6 units
height = 7 units
A = 1/2(6)(7) = 42/2 or 21
The ratio of students to laptops in a school is 3:2. If there are 1,200 students, how many laptops are there?
Hey guys I need some help. Question in the image below
Answer:
15 students at school
Step-by-step explanation:
So there is 50 students in total
First subtract that much with how much students have the flu
1/10 = 5/50
So 5 students have the flu
That leaves 45 students
Then subtract that much with the amount of students that are remaining are on the field trip
45 divided by 3 = 15
so 2/3 = 30/45 (they can both be multiplied and divided by 15)
so 30 of the 45 students are on the field trip
45 - 30 = 15
That means there are 15 students left over at school
help :c!!!!!!!!!!!!!!!!!
Answer:
-4
Step-by-step explanation:
Use the formula y2-y1/x2-x1 to find the answer to a slope next time! :D
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
I need help pls and thank you
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
Given 2x-2y=23 find x when y=9
Answer:
x= 20, 5
Step-by-step explanation:
Sub y into equation to find x
2x - 2 (9)= 23
2x-18 =23
2x= 23+18
2x= 41
x=41/2
x= 20,5