What is the area of the blue coloured triangle ranging from the two squares of 4x4 and 6x6 dimensions?
Answers
Answer:
Area = 18 Sq.units
Step-by-step explanation:
From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units
Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.
Let the diagonal be c. Thus;
c = √(10² + 6²)
c = √(100 + 36)
c = √136
Let length of the horizontal part of the blue area be "b". Thus, b = 6 units
Let the other part of the triangle be a. We can find a from pythagoras theorem.
a = √(4² + 6²)
a = √(16 + 36)
a = √52
Using hero's formula, we can find the area of the triangle;
Area = √(s(s − a)(s − b)(s − c))
Where s = (a + b + c)/2
s = (√52 + 6 + √136)/2
s = 12.4365
Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))
Area = 18 Sq.units
Related Questions
The photo below is being enlarged to form a 24- by 30-inch print. What is the scale factor being used to enlarge it? 5 ia
Answers
Answer: 6
Step-by-step explanation:
The the scale factor being used to enlarge the photo is 6. Therefore, option B is the correct answer.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, the photo below is being enlarged to form a 24- by 30-inch print.
In the figure, the dimensions are 4 inches and 5 inches.
Scale factor = 24/4 = 6
and 30/5 = 6
Therefore, option B is the correct answer.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ2
Which expression is equivalent?
Answers
The second one
Salvador sold hats during a weekend sporting event. On Saturday, Salvador sold 47 of the total number of hats. On Sunday, he sold 14 of the total number of hats. What fraction of the total number of hats was left over?
Answers
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answers
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
step by step
-3(4v+1)+2v=57
Answers
Answer:
v= -5.8
Step-by-step explanation:
-12v+1+2v=57
-10v+1=57
-10v=58
v= -5.8
Determine the domain of the following graph:
Answers
Answer:
Domain: (-7, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:
Interval Notation: (-7, 4]
Inequality Notation: -7 < x ≤ 4
Find the next three terms.
15,15/2,5,15/4,3
Answers
Answer:
15/6, 15/7, 15/8
Step-by-step explanation:
sequence is 15/1, 15/2, 15/3 (which is 5), 15/4, 15/5 (which is 3), 15/6, 15/7, 15/8
what expression is equivalent to −24x+72?
Answer choices:
1. 24(x+72)
2. 24(x+3)
3. −24(x−72)
4. −24(x−3)
Answers
Step-by-step explanation:
the answer is 4. you factor the equation since 24.
Scott and Cassie are selling pies for a school fundraiser. Customers can buy cherry pies
and apple pies. Scott sold 4 cherry pies and 6 apple pies for a total of $88. Cassie sold 8
cherry pies and 7 apple ples for a total of $126. What is the cost of each pie?
Cherry pies cost
and apple pies cost
Answers
Answer:
9.42857142857
Step-by-step explanation: Is a long decimal so you could just round it to 9.43
Myra reads 8 pages of her book. If this is 25% of her book. How many pages does she have left to read?
Answers
Find the measure of
Answers
Answer:
∠RST = 68°Step-by-step explanation:
When looking at the diagram, we can infer that angle RST is the sum of angles RSQ and QST.
Therefore, angle RST = 46 + 22 = 68
∠RST = 68°
A box in the shape of a cube has a side length of 1 1/2 feet. What is the volume of the box?
Answers
Answer:
Step-by-step explanation:
V cube=s^3, where is the side of the cube
1 1/2ft=3/2 ft
V=(3/2)^3=27/8 ft^3=3 3/8 ft^3
V=3.375 ft^3
What is the range of the graph?
Answers
Answer:
y ≥ -1
Step-by-step explanation:
range consists of all y-values contained in the solution set
the lowest y-value (as seen by the graph) is negative 1
A system of equations is shown below.
y = 2x - 3
y = 5x + 6
What is the value of x + y?
A. -12
B. -9
C. 9
D. 12
Please help me!!!!
Answers
Answer:
-12
Step-by-step explanation:
Step1: Add 3 to both sides of the equation
2x -3 = 5x +6
+3 +3 = 9
Step2: subtract 5x from both sides of the equation
2x = 5x +9
-5 -5
Step3: divide both sides of the equation by the same term
-3x(/ -3) = 9(/-3)
X=-3Step4: multiply -3 with 2
-3x2= -6
Step4: subtract -6 with 3
-6 - 3= -9
Y=-9Step5: add the -9 to -3
-9 + -3 = -12
ANSWER: -12
What's the intercepts of the line 4x-3y=17
X[__,__]
Y[__,__]
Answers
Answer: REMEMBER (X, Y)
x(4 1/4, 0)
y(0, -5 2)
Step-by-step explanation:
Find the x-intercept
To find x intercept subtract y equals 0
4 x - 3 × 0 = 17
Any equation multiplied by 0 equals 0
4x - 0 = 17
When adding or subtracting zero quality does not change
4x = 17
Divide both sides of the equation by 4
x = 17/4
Solution
X = 17/4
Alternate form
X = 4 1 / 4, x = 4.25
Find y-intercept
To find y intercepts subtract x equals 0
4 × 0 - 3y = 17
Solve the equation for y
Y = -17 / 3
Solution
y = -17 / 3
Alternate form
y = -5 2 / 3, y = -5.6
A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of popcorn must be sold to earn at least $110? Write your answer as a inequality Pls help me :(
Answers
Answer:
The concession stands needs to sell 14 or more bags.
Step-by-step explanation:
Given that:
Cost per bag of popcorn = $2.50
Number of bags already sold = 30
Cost of 30 bags = 30*2.50 = $75
Bags needs to be sold to make $110 = x
2.50x + 75 ≥ 110
2.50x ≥ 110-75
2.50x ≥ 35
Dividing both sides by 2.50
[tex]\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14[/tex]
Hence,
The concession stands needs to sell 14 or more bags.
I need help ASAP. I am terrible at math
Answers
Answer:
1.y=2/3x +9
2.y=-7x+(-3)
Step-by-step explanation:
4. What is of 2107what is 2 fifths of 210
Answers
Answer:
points I want ... use of this communication
What is the scale factor of ABC to A DEF?
Answers
Answer:
6
Step-by-step explanation:
All sides of triangle EFD have x6 of BAC.
E.g.: BA = 2. ED = 2 x 6 = 12
Sorry about the handwriting I tried. But I need help
Answers
2,4,6,8...
What is the 32nd term of this sequence?
Answers
Answer:
omg im dum i said all the numbers up to 64 i could have just multiplied its 64 xD
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64
Just keep on adding two 32 times
Please help show your work! I will mark brainliest!
Answers
Answer:
b. 144 degrees
Step-by-step explanation:
(n-2)(180)
10-2=8
8*180=1440
The polygon has 10 sides so divide by 10
1440/10= 144
HELP ME PLEASE!!!! (2a+9)-(6a-10)=pleases answer it in distributive form. WILL GIVE BRAINLIEST AND 30 POINTS!!!
Answers
Answer:
a= -3.
Step-by-step explanation:
-2a -9= 6a+ 15
⇒ -2a -6a= 15+ 9
⇒ -8a= 24
⇒ a= 24/(-8)
⇒ a= -3
-4a + 19
Have a nice day <3
Basically, the teacher wants a math equation story but I can't think of one.
Answers
Answer:
For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped at the store for 2 hours.
Step-by-step explanation:
plz I need a help expand:(5x+4y)(5x-4y)
Answers
Answer:
25xwith an exponent of 2 minus 16y with an exponent of 2
PLEASE HELP
THERE ARE MANY QUESTIONS LIKE THIS ON MY PAGE SO U CAN JUST KEEP GETTING POINTS
Answers
Answer: 1
Step-by-step explanation:
first, i multiplied it all out.
1.5^2/1.5^2
then, i simply divided it all.
1
A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices
Answers
Answer:
Length of spaceship in movie = 528
Step-by-step explanation:
Given that:
Drawing ratio of spaceship = 1 : 24
It means that 1 inch on drawing equals 24 inches in movie
Drawing of spaceship = 22 inches
Length of spaceship in movie = x
As the relationship is proportional,
1 : 24 :: 22 : x
Product of mean = Product of extreme
24*22 = x
x = 528
Hence,
Length of spaceship in movie = 528
show that each quadrilateral with the given vertices is a parallelogram.
N(5,1), P(2,7), Q(6,9), R(9,3)
Answers
9514 1404 393
Explanation:
The quadrilateral is a parallelogram if the midpoints of its diagonals are the same point. That is, if ...
(N +Q)/2 = (P +R)/2
Multiplying by 2, we can simplify the test to ...
N +Q = P +R
(5, 1) +(6, 9) = (2, 7) +(9, 3)
(5+6, 1+9) = (2+9, 7+3)
(11, 10) = (11, 10) . . . . . . . true ∴ NPQR is a parallelogram
Help pls it math !!!!
Answers
Answer:
C. CD and DH
D. EH and GH
F. AD and DH
H. AB and BC
K. FG and EF
Step-by-step explanation:
hope this helps
food delilah has 4 1/2 pies to divide equally among 9 people. how much would each person get
Answers
Answer:
4.5/9 = 0.5
half a pie each