Answer:
a. 26 cm²
b. 55 cm²
c. 78 cm²
d. 89.27 cm²
Step-by-step explanation:
a. The shape can be decomposed into two rectangles
Area of the larger rectangle = L*W
L = 7 cm
W = 2 cm
Area of the larger rectangle = 7*2 = 14 cm²
Area of the smaller rectangle = L*W
L = 4 cm
W = 5 - 2 = 3 cm
Area of the larger rectangle = 4*3 = 12 cm²
Area of the compound shape = 14 + 12 = 26 cm²
b. The shape can be decomposed into a rectangle and a triangle.
Area of the compound shape = area of rectangle + area of triangle
= L*W + ½*b*h
L = 8 cm
W = 5 cm
b = 5 cm
h = 14 - 8 = 6 cm
Plug in the values
Area = 8*5 + ½*5*6
Area = 40 + 15
= 55 cm²
c. The shape can be decomposed into a rectangle and a trapezoid
Area of the compound shape = area of the rectangle + area of the trapezoid
= L*W + ½(a + b)h
L = 12 cm
W = 3 cm
a = 12 cm
b = 9 cm
h = 4 cm
Plug in the values
Area = 12*3 + ½(12 + 9)4
Area = 36 + 42
Area = 78 cm²
d. The shape can be decomposed into a rectangle and a semicircle
Area of the compound shape = area of the rectangle + area of the semicircle
= L*W + ½(πr²)
L = 10 cm
W = 5 cm
r = ½(10) = 5 cm
Plug in the values
Area = 10*5 + ½(π*5²)
Area = 50 + 39.27
Area = 89.27 cm²
Was this equation solved correctly? How do you know?
Subtract three from both sides
Combine like terms
Divide by 4 on both sides
Simplify
19 = 4x + 3
19 - 3 = 4x + 3-3
16 = 4x
16/4 = 4x/4
3 = x
What are the domain and range of f(x) = 2|x -4|?
plz i'm in need
Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
(High points) Please solve with explanation
Answer:
36 9/16 inches
Step-by-step explanation:
Given that the piece is 45 1/2 inch long and 8 7/8 is cut from it, the remaining length should be the difference between the original length and the length cut from it
= 45 1/2 - 8 7/8
simplify
= 44 - 8 (8 + 4 - 7)/8
= 36 5/8
Given that 1/16 inch is wasted in the process, the remaining length would be
= 36 5/8 - 1/16
= 36 10 - 1/16
= 36 9/16 inches
Find the measure of each angle indicated. Please help !!
Answer: 86°
Step-by-step explanation:
You add 28°+58° to get 86
a scalene triangle always equals (adds up to) 180°
So you minus 86° from 180 to get 94° for angle EGF
Then since line EGT is 180° the ? has to add together with 94° to find your answer
94°+?=180°
180°-94°= 86°
BD is the angle bisector of ABC. Find m ABC and m DBC. (Picture attached!) Thank you!!!
Answer:
60 Degree,30 degree
Step-by-step explanation:
BD is bisector of ∠ABC
=> ∠ABD = ∠DBC
=> 3x = x + 20
=> 3x - x = 20
=> 2x = 20
=> x = 20/2
=> x = 10
Now,
∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree
∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree
f(x)4x+1 and g(x)=x^2 -5
Answer:
B. x² + 4x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) = f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 4x + 1 + x² - 5Combine like terms: (f + g)(x) = x² + 4x - 4Answer:
B
Step-by-step explanation: 6 18 11 18
f(x)=4x+1 and g(x)=x^2 -5
f(x)= 4x+1
g(x)=x^2 -5 just add these two equations
(f+g)(x) = x² + 4x +1 - 5
(f+g)(x) = x² + 4x - 4 B
Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron's sketch? 36 48 81 84
Answer: 36 inches
Step-by-step explanation:
From the information given in the question, we are informed that Yuron is sketching a scale drawing of a famous painting and that the painting is 54 inches wide and 72 inches long.
We are further informed that he used a scale factor of ⅔ to make his sketch, then the measure of the width of the sketch will be ⅔ of the original width and this will be:
= ⅔ × 54 inches
= 36 inches
The width of Yuron's sketch is 36 inches.
How many inches wide is Yuron's sketch?
We know that the original painting is 54 inches wide and 72 inches long, and Yuron makes a sketch that uses a scale of 2/3 of the original dimensions.
Then the width of Yuron's sketch will be 2/3 times the original width:
W = (2/3)*54 inches = 36 inches.
The width of Yuron's sketch is 36 inches.
If you want to learn more about scales, you can read:
https://brainly.com/question/15891755
Evaluate
tan 332°30'
Cos 229°47'
and sec(-38°22')
HELPPP
what is x when tan24 = 5/x
Answer:
x ≈ 11.23
Step-by-step explanation:
Given
tan24° = [tex]\frac{5}{x}[/tex] ( multiply both sides by x )
x × tan24° = 5 ( divide both sides by tan24° )
x = [tex]\frac{5}{tan24}[/tex] ≈ 11.23 ( to 2 dec. places )
URGENT!!!!! I really suck at these help please I beg of you
Answer:
Step-by-step explanation:
1) ∠WVZ and ∠VWX are right angles & VX = = WZ Given
2) WV = VW Reflexive property
3) ΔWVZ ≅ ΔVWX HL
4) ∠Z = ∠X CPCT
CPCT --> Corresponding parts of congruent triangle.
Mary’s school is selling tickets to a choral performance. On the first day of ticket sales the school sold 4 senior citizen tickets and 2 child tickets for a total of $64. The school took in $204 on the second day by selling 12 senior citizen tickets and 8 child tickets. What is the price of one senior citizen ticket and one child ticket.
Answer:
$13 - senior
$6 - child
Step-by-step explanation:
set up a system of equations:
s = senior tickets price
c = child tickets price
4s + 2c = 64; you can simplify this by dividing through by 2 to get:
2s + c = 32
12s + 8c = 204; you can simplify this by dividing through by 4 to get:
3s + 2c = 51
we can say that 'c' = 32-2s' and substitute that for 'c' in the second equation:
3s + 2(32-2s) = 51
3s + 64 - 4s = 51
-s = -13
s = 13
now find 'c' by substituting 13 for 's':
2(13) + c = 32
26 + c = 32
c = 6
through:(-1, -2), slope = 5
Answer:
y=5x+3
Step-by-step explanation:
Hi there!
We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
Since we're already given the slope, we can substitute that immediately into the equation
here it is so far:
y=5x+b
now we need to solve for b
Since the line will pass through the point (-1,-2), we can use it to solve for b
substitute -1 as x and -2 as y into the equation
-2=5(-1)+b
multiply
-2=-5+b
add 5 to both sides
3=b
substitute that into the equation
therefore, the equation of the line is y=5x+3
Hope this helps! :)
Ayúdenme con esto
Por favor
Answer:
sir, this is a english app, search a spanish app
señor, esta es una aplicacion en ingles, busque una en español
Step-by-step explanation:
Brainly.lat
Find the volume of this sphere.
Use 3 for T.
The standard form of a quadratic function is given below. Select ALL
statements which MUST be true about its graph.
f (x) = ax? + bx + c
A. The y-intercept of the graph is at (0,c).
B. The graph has an x-intercept at (c,0).
C. When "a" is positive, the graph opens up.
D. The graph always has two distinct x-intercepts,
Answer:
A; C.
Step-by-step explanation:
B. not correct: the graph can have no interception; one interception or two interception;
D. not correct: the graph can have no interception; one interception or two interception.
Which of the following are not polynomials? O A. x2 +x+1 O B. X-2 + x + 1 am. x + V3x+1 OD. 3+x+1 E. x + 0x2 + 2x + 2
Answer:
Option B
Step-by-step explanation:
Look.......Polynomial is something which has more than 3 term..So, as you can see option B has more than three.
Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.
If we know that Karen boards the bus first, which shows the possible outcomes for this event?
KHIJ
KHIJ, KHJI
KHIJ, KHJI, KJHI, KJIH
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Answer:
D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Step-by-step explanation:
Got a 100% on test! EDGE 2021
The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.
What is permutation?A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.
Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert
The formula to determine permutation is:
ⁿPₓ = n!/(n-x)!
Where n is the total number of objects and r is the number of objects selected.
For the given question, n will be 3 since K boards the bus first and hence his position is fixed.
Therefore, H, I, and J can switch positions.
³P₂ = 3!/(3-2)!
³P₂ = 6
Therefore, the correct option is D.
Learn more about permutation here:
brainly.com/question/14767366
#SPJ7
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
============================================================
Explanation:
Point H is at (-2,2) and J is at (4,-2)
Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.
The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.
The midpoint is at (1,0). That's why the answer is choice C.
--------------------------
This next section is optional.
Points I and K are located at (4,3) and (-2,-3) respectively
Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1
Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0
We end up with the same midpoint (1,0)
The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.
Answer:
C is the correct answer
Step-by-step explanation:
PLZZZZZZ HELPPPPP!!!!!!
Answer:
1
Step-by-step explanation:
1/2×2 = 2/2 = 1
_____________________
what is the square root of -1
Answer:
i
Step-by-step explanation:
Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.
Also, a negative number times another negative number, is a positive number. -2 * -2 = 4
With both of those true, then what number could be multiplied by itself to equal a negative number? i.
i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].
Hope that this helps!
which function has a domain of all real numbers
please answer accurately I need this to pass my class. thank you.
Answer:
a.y=-x½+5
Step-by-step explanation:
from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½
PLEASE HELP ME THANK YOU
Answer:
Step-by-step explanation:
That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.
Answer:
39deg
Step-by-step explanation:
(+58) x (-75) =
I don't understand this! Can someone help me?
Answer:
-4350
Step-by-step explanation:
-((58)x(75))=
-(4350) =
-4350
Solve for x in these two similar triangles
How far should Galileo walk up the inclined plane?
Answer:
Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls
The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?
Let x = the smaller number.
Let y = the larger number.
Which two equations represent the system for this word problem?
Equation 1:
Equation 2:
Step-by-step explanation:
everything can be found in the picture
Answer:
Step-by-step explanation:
Which two equations represent the system for this word problem?
Equation 1:
✔ x + y = 10
Equation 2:
✔ y = 4x
Help help help help
For which equation would x = 0 be a solution?
6x = 1/6
4x = -4
(7)x = 0
1,000x = 0.001
QUESTIONS:- For which equation would x = 0 be a solution?
ANSWER:- (7)x = 0
as 7x= 0
x=0 ANSWER
Help asappppp hbshhshshhshshsshshshs
9 on the top as well so 9 x 2 18 3x2 6 3
The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
I'm not really sure what you're asking because there's no image.
Step-by-step explanation:
please try to reword it and maybe show a picture .