Answer:
[tex]\huge\boxed{\sf Area = 12.8 cm\²}[/tex]
Step-by-step explanation:
Let,
The length of rectangle = x
The width of rectangle = y
The length of square = x - 4
The width of square = y + 5
Area of rectangle = xy
Area of square = xy + 40
Condition No. 1:
Area of Square = Length of square * Width of square
xy + 40 = (x - 4)(y - 5)
xy + 40 = xy - 5x - 4y + 20
- 5x - 4y = 40 - 20
- 5x - 4y = 20
5x + 4y = -20 ------------------(1)
Condition No. 2:
We know that:
Length of square = Width of square
x - 4 = y + 5
Add 4 to both sides
x = y + 5 + 4
x = y + 9 ---------------------------(2)
Solution:
Put Eq. (2) in (1)
5 (y + 9) + 4y = -20
5y + 45 + 4y = -20
9y + 45 = -20
9y = -20-45
y = -65 / 9
Now, Put the value of y in Eq. (2)
x = (-65 / 9) + 9
x = (-65 + 81) / 9
x = 16 / 9 cm
Now,
Area of rectangle = xy
Area = ( -65 / 9 ) * ( 16 / 9 )
Area = (-65*16) / (9*9)
Area = -1040/81
Area = 12.8 cm² (Neglecting -ve sign)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
360
Step-by-step explanation:
360m^2
8) A box of 12 light bulbs fell
and some are broken. If there
are 4 broken bulbs:
a) What fraction of the
bulb is broken? Write
answer in its lowest
term.
Answer: 2/3
Step-by-step explanation:
12 lightbulbs and 4 are broken
12-4=8
8/12
/2
4/6
/2
2/3
Find the value of x.
Round to the nearest tenth.
16
30°
30
x = [?]
Answer:
X=18.0
Step-by-step explanation:
It says round to the nearest tenth, which is 1 digit after the . Even though 18.02 is correct it wants you to round so X= 18.0
Final answer is X=18.0
The value of x is 18.0 rounded to nearest tenth.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
We are Given Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
Required: Value of x to the nearest tenth
Using the Cosine rule:
c² = a² + b² - 2abcos(C)
Let c = x, a = 16, b = 30
C = 30°
Thus,
c² = 16² + 30² - 2 x 16 x 30 x cos 30°
c² = 256 + 900 - 960 x 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
Learn more about Cosine rule;
https://brainly.com/question/16982044
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What is the problem 3/2 X h = 2
Answer:
h = 4/3
1/2 of 4/3 is 2/3
4/3 + 2/3= 6/3, or 2
Please help ! I don’t get it!
Answer:
PR = 16
SR = 12
Step-by-step explanation:
6/8 = (x-3)/(x+1)
8x-24 = 6x+6
simplify
2x = 30
x = 15
PR = 15 + 1 = 16
SR = 15 - 3 = 12
What is the equation of the line with slope 13 and y intercept-6
Answer:
y = 13x - 6
Step-by-step explanation:
Hope This Helps ;)
Plz Mark Brainliest!!!
Impossible question for me plz help
Answer:
The line x = 3 is simply a vertical line that passes through every single point where x is equal to 3.
One that is is parallel and passes through (-4, 7) will be in the same format, just with another number. The given point has an x-coordinate of -4, so the line is:
x = -4
9 times (3+2)= (9 times ) +(9 times ) =
Answer:
9(3+2) = 45
9 * 9 = 81
Step-by-step explanation:
PLEASE HELP
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to
create a two-way table to analyze her results. Which describes the variables she can use in the first row and first
column to create her table?
A.painting preference and total number of students
B.painting preference and number of students in class 1
C.class number and painting preference
D.class number and number who prefer oil
Answer:
D. class number and number who prefer oil
Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6) and all outcomes
are equally likely. P(less than 5)
2/3 of a number is 8 what is the number?
Answer:
12
Step-by-step explanation:
8/ (2/3) = 12
The value of number is,
⇒ x = 12
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
2/3 of a number is 8
Let us assume that,
A number is, x
Hence, We can formulate;
⇒2/3 of x = 8
⇒ 2/3 × x = 8
⇒ 2x = 3 × 8
⇒ 2x = 24
⇒ x = 12
Thus, The value of number is,
⇒ x = 12
Learn more about the multiplication visit:
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The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?
Answer:
15.78
Step-by-step explanation:
4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78
Find the measure of 46.
62°
16
46 = [?]
Answer:
118
Step-by-step explanation:
62+ m<6=180
180-62=118
m<6=118
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
PLSSSSS HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A: 49
B:45
C: 20.1
D:114
(3x-11)+(6x-10)+x=180
10x-21=180
10x=201
x=20.1
(I think I did that right)
Will GIVE BRAINLIEST Select the correct answer.
Which statement describes the end behavior of the function?
12 100
1 2 – 31 – 4
B.
A. The function approaches 0 as x approaches - and co.
The function approaches 1 as x approaches -o and co.
C. The function approaches 5 as x approaches -oo and co.
X D. The function approaches 25 as x approaches - and co.
9514 1404 393
Answer:
B. f(x) → 1
Step-by-step explanation:
When x is very large, the only terms that matter are the ones of highest degree. That ratio is ...
f(x) = x^2/x^2 = 1
The function value approaches 1 for very large x.
Can you help me with these 2 articles? pls
Answer:
no jooopoooopooopoopoo
Pre calculus law of sines
Answer:
AB = 6.5
Step-by-step explanation:
C = 59°
AC = 7
CD = 6
AB = ?
Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)
AB² = 7² + 6² - 2(7)(6)*Cos(59)
AB² = 85 - 43.26
AB² = 41.74
AB = √41.74
AB = 6.5 (nearest tenth)
What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-14,3) (2,-5)
Answer:
Step-by-step explanation:
The slope of a line can be determined by any two points on the line and is defined as
m=(y2-y1)/(x2-x1),
We are given points (-14,3) and (2,-5) so
m=(-5-3)/(2-(-14))
m=(-8)/(16)
m= -1/2. (Answer F)
What solid would be created by rotating the figure above about line m?
Cone
Triangular Pyramid
A good ol' triangle
Triangular Prism
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
Since it is ROTATED about the vertical line a cone is formed.
A sketch of a new dog park in town is shown below. How many square feet will the dogs have to roam
and play?
Answer:
they will have 432 ft to play
Pls help ASAP math plsssss
Answer:
ASAP meaning as soon as possible
Answer:
y= 1.4x + 7
Step-by-step explanation:
y= mx + b
m = rise over run = 7/5 = 1.4
the y intercept is 7, this is our b
Can someone help please!! Thank you
True or False.
The expressions 3 + y and 1/3 (6 + y) are equivalent?
Answer:
false
Step-by-step explanation:
consider y = 3
its 6 for one and 3 for the other
Fred helped his mom make 40 dozen cupcakes for the last bake sale. For this sale, he is going to help make 20% more cupcakes. How many dozen cupcakes will Fred and his mom make?
Answer:
48 dozen cupcakes
Step-by-step explanation:
20 percent more is 120 percent overall, which as a decimal is 1.2. Multiply 40 by 1.2 and you have your answer.
1.2 * 40 = 48
Hopefully this helps- let me know if you have any questions
21) A frozen yogurt store sells a small bowl of frozen yogurt for $2.50 plus $0.75 per topping. They sell a large bowl of frozen yogurt for $4.00 plus $0.50 per topping. For how many toppings will a small bowl of frozen yogurt cost the same as a large bowl of frozen yogurt?
Answer:
Two toppings and a small bowl of frozen yogurt will cost the same as a large bowl of frozen yogurt.
Step-by-step explanation:
2.50 + .75x = 4.00
4.00 - 2.50 = 1.50
1.50/.75 = 2
2 toppings
20.) Which inequality represents the solution on the graph?*

Answer:
Option 2
Step-by-step explanation:
You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:
1
.[tex]3x \geq -9\\x \geq -3[/tex]
doesn't match
2.
[tex]-7x\geq 21\\x\leq -3[/tex]
Does match, so this is the answer.
So I have a grade of 100.6 (an A+) and I had this assignment that was due a while ago (that was 15 points) and now I’m not allowed to turn it in. What would be my grade now that I didn’t do that assignment?
Answer:
maybe an 80 or 90
Step-by-step explanation:
A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?
Answer:
18.6
Step-by-step explanation:
Answer:
18.6
Step-by-step explanation:
trust me brotha plz give me like
hi pls help me in math im soo stuck:(((plss
Answer/Step-by-step explanation:
a. First, find the value of a.
Sum of the interior angles of a triangle = 180° (triangle sum theorem)
Therefore:
3a + 2a + a = 180°
Add like terms
6a = 180°
6a/6 = 180/6
a = 30
Thus:
a = 30°
2a = 2(30) = 60°
3a = 3(30) = 90°
b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.
Therefore, sum of the isosceles triangle would be:
2(2x) + 5x = 180°
4x + 5x = 180
9x = 180
9x/9 = 180/9
x = 20
Thus:
2x = 2(20) = 40
5x = 5(20) = 100
Problem
Evaluate 6 + x when x = 3
Answer:
9
Step-by-step explanation:
6+x x=3
6+3=9
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer