Answer + Explanation:
Find the coordinates of each point and multiply it by 4:
J (1, 4) --> J' (4, 16)
K (6, 4) --> K' (24, 16)
L (6, 1) --> L' (24, 4)
M (1, 1) --> M' (4, 4)
Find the area of the polygon pls
Given:
The figure of a polygon.
To find:
The area of the polygon.
Solution:
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
Area of trapezoid is
[tex]Area=\dfrac{1}{2}(a+b)h[/tex]
Where, a, b are bases and h is the height.
The area of the triangle with base 6 cm and height 8 cm is
[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]
[tex]A_1=24[/tex]
Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is
[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]
[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]
[tex]A_2=(9)(5)[/tex]
[tex]A_2=45[/tex]
Now, the total area of the polygon is
[tex]A=A_1+A_2[/tex]
[tex]A=24+45[/tex]
[tex]A=69[/tex]
Therefore, the area of the polygon is 69 sq. cm.
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
Ashley and Gabby bought lunch from the food trucks on Sugar Day. Ashley bought 3 tacos and a drink for $7. Gabby bought 2 drinks and 2 tacos for $8. How much does 1 taco cost? A taco costs__
Answer:
$1.5
Step-by-step explanation:
This would be solved using a simultaneous equation
let tacos = t
drink = d
3t + d = 7 -- eqn 1
2t + 2d = 8 -- eqn 2
Multiply equation 1 by 2 to derive equation 3
6t + 2d = 14 eqn 3
Substract equation 2 from equation 3
6t + 2d = 14 -- eqn 3
-
2t + 2d = 8 -- eqn 2
= 4t = 6
solve for t
6/4 = 1.5
= $1.5
Please help on these
Answer:
14. (-8, 12) 15. (6, 7)
Calculate the quotient.
A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?
What are the answers?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
Please help!!!
There are 5,000 books in the town's library. Of these, 4,900 are fiction. To
find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Setup the percent equation. Choose the correct answer below.
A. 5,000 = m times 4,900
B. 5,000 = m divided by 4,900
C. 4,900 = m times5,000
D. 4,900 = m divided by5,000
(type whole number)
thank u so much!!
i will give brainliest to the correct answer!!
Answer:
C. 4,900 = m times 5,000
Step-by-step explanation:
Total books = 5,000
Fiction = 4,900
Calculations:
[tex]5,000. \frac{x}{100} =4,900[/tex]
[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]
[tex]\frac{x}{100} =0.98[/tex]
[tex]x=98[/tex]
Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%
Therefore, 4,900 is 98% of 5,000.
So 5,000 x 98% = 4,900
And the equation that matches that is C.
Select all the equations that have that share a solution with the following
system of equations.
5 points
(5x + 4y = 24
2x – 7y = 26
Answer:
B.
Step-by-step explanation:
If you calculate the sum of both you get:
5x + 2x + 4y - 7y = 24 + 26
7x - 3y = 50, which is B
Three-quarters of a pound of candy cost 66 cents. Find the cost of one pound
of candy.
Answer:
$0.88 per pound
Step-by-step explanation:
you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound
-2/3 x - 1 =19 yeah its -2over3 with x to the right then -1 = 19
Answer:
x = 30
Step-by-step explanation:
Given the expression
-2/3 x - 1 =19
We are to find the value of x
Add 1 to both sides
2/3 x -1 +1 = 19+1
2/3 x =20
Multiply
2/3x × 3 = 20×3
2x = 60
x = 60/2
x = 30.
Hence the value of x is 30
15. Cedric lives at one end of Main Street, and Landon lives at the other end of the street. Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house. How many more meters must Cedric walk to arrive at Landon's house? 2.12 m 9,920 m 2,120 m 3,920 m
Answer:
2,120 m
Step-by-step explanation:
Cedric lives at one end of Main Street, and Landon lives at the other end of the street
Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.
Step 1
We calculate the kilometers Cedric has to walk to arrive at Landon's house
This is given as:.
6.02km - 3.9 km
= 2.12 km
Step 2
How many more meters must Cedric walk to arrive at Landon's house?
We convert from km to m
1 km = 1000m
2.12km = x
Cross Multiply
x = 2.12 × 1000m
x = 2120 m(meters)
A school carnival sold 90 early-admission tickets and 810 regular tickets. What percentage of the tickets sold were early-admission tickets?
Answer:
11.12 %
Step-by-step explanation:
Given that,
There are 90 early admission tickets.
There are 810 regular tickets.
We need to find the percentage of the tickets sold were early-admission tickets.
[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]
So, the required percentage is 11.12 %.
please help, will be grateful and give brainliest!
Answer:
x=216°
Step-by-step explanation:
100%=360°
To find 10% divide by 10
10%=36°
x4
40%=144°
in a full circle thered 360°
360-144=216°
x=216°
A museum has an aquarium in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high. What is the volume, rounded to the nearest cubic meter, of the aquarium?
Answer: The volume of the aquarium = 790 cubic meters
Step-by-step explanation:
Volume of rectangular prism = length x width x height
Given: An aquarium is in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high.
Volume = [tex]22.9\times7.5\times4.6[/tex]
i.e. Volume = 790.05 cubic meters
i.e. Volume ≈ 790 cubic meters (rounded to the nearest cubic meter)
Hence, the volume of the aquarium = 790 cubic meters (approx)
A piece of ribbon is 1 metre in length. Sasha cuts of some of the
ribbon. The ribbon is now 40 cm in length.
What is the percentage change of the ribbon?
Answer:
high jatdog
Step-by-step explanation:
napaka pogi ko ayieeeeSMART PPL PLEASE HELP ME
Answer:
last one (d)
Step-by-step explanation:
adding subtracting or dividing is not how you use a growth factor(what my school calls a percentage in a decimal form).
Boris rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 88 cents for each mile driven. Boris had to pay 138.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
$220.02 - $16.99 = $203.03
$203.03 / $.79 = 257 miles
Answer = 257 miles
Step-by-step explanation:
Hope this helps! Have a great day!
Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
You have a new puppy that is one fifth of the size of your older dog.if your older dog wieghts 25 2/5 pounds how much does your puppy weigh? PLZZZZ HELPPP
Question Progress
112 Mais
Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:
b)
2, 6, 18, 54, 162
Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
Need answered ASAP!
The coordinates of the vertices of triangle LMN are L(-3, 4) M(-2, 0) and N(6,2)
Is triangle LMN a right triangle? Show your steps
Hint: one way to prove is to find a 90 degree angle (perpendicular lines)?
Answer:
Yes
Step-by-step explanation:
I see a right angle, so its perpendicular
plz help giving big bucks 50 points
Answer:
A
We can see that the graph is shaded to the left of -1. This means that x is all values less than (<) -1, so C and D are incorrect. Additionally, since the dot is not filled in, this means that x is not going to be equal to -1, which eliminates B. This leaves A, x < -1.
Step-by-step explanation:
Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Denise makes 132 cupcakes, how many dozen chocolate cupcakes does she make?
Answer:
6 dozens
Step-by-step explanation:
Vanilla, v = x
Chocolate, c = 3x
Strawberry, s = 3 dozens = 36
Total cupcakes = 132
Hence,
x + 3x + 36 = 132
4x = 96
x = 96 / 4
x = 24
Chocolate = 3 * 24 = 72
Dozens of chocolate = 72 /12 = 6 dozens
2) A pair of socks is purchased for $3.00 it is then sold for $4.00 What is the percent of change that
occurred? Is it a percent increase or decrease?
Answer:
5% change
Step-by-step explanation:
Answer:
33 was the change and it incressed
Step-by-step explanation:
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
2(x-1)=3(x-4) how many solutions
You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.
what are the odds against the spinner stopping at a blue section?
(Answer is a fraction)
Answer:
3/7
Step-by-step explanation:
you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven
Which unit of mesurement is used to express distance on a map in Spanish speaking countries
Make h the subject
G=5h-2f÷3
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )
Anyone know the middle question ?