Each small square on the grid is 1 cm².
Which estimate best describes the area of this figure?
15 cm²
20 cm²
25 cm²
35 cm²
Answers
Answer: The correct option is option third, i.e.,25 cm square.
Explanation:
From the given figure it is easily noticed that the shaded region contains two congruent parallelograms and 4 congruent triangles.
Area of a parallelogram is the product of base and height.
[tex]\text{Area of a parallelogram}=4\times 3=12[/tex]
The area of a parallelogram is 12 cm square.
Area of a triangle is half of the product of base and height.
[tex]\text{Area of a triangle}=\frac{1}{2}\times 2\times 0.25=0.25[/tex]
The area of a triangle is 0.25 cm square.
Since there are 2 parallelograms and 4 triangles in the figure, therefore the total area is,
[tex]A=2(12)+4(0.25)[/tex]
[tex]A=24+1=25[/tex]
Therefore, the area of figure is 25 cm square and the third option is correct.
Answer:
25 units²
Step-by-step explanation:
Count each whole box as one cm and count the ones that aren't whole as half a cm and you get 25 units²
Related Questions
Simplify the expression.
1/4 n (-24+8m-100p)
A. –6n + 2mn – 25np
B. –6n – 2mn + 25np
C. –24n + 8mn – 100np
D. –6n + 2m – 25np
Answers
1/4 n (-24+8m-100p)
= -24n/4 + 8mn/4 - 100np/4
= -6n + 2mn - 25np
answer
A. -6n + 2mn - 25np
The sum of two numbers is 62. The smaller number is 18 less than the number.what are the numbers ?
Answers
let's say the numbers are "a" and "b".
a = smaller number
b = larger number
a = b - 18
[tex]\bf \begin{cases} a+b=62\\ \boxed{a}=b-18\\ ----------\\ \left( \boxed{b-18} \right)+b=62 \end{cases} \\\\\\ 2b-18=62\implies 2b=80\implies b=\cfrac{80}{2}\implies b=40[/tex]
what's a? well, a = b - 18.
What happened to the glass blower who inhaled
Answers
Answer: he got pane in his stomach
Step-by-step explanation:
because he ate glass
A 12 ounce can of lemonade costs $1.32. How much would a 16 ounce can of lemonade cost
Answers
$0.11 x 16 ounces = $1.76
A 16 ounce lemonade is $1.76.
The amount of cost of the lemonade of 16 ounces will be $1.76.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A 12-ounce can of lemonade costs $1.32.
Then the cost of 1 ounce will be
⇒ $1.32 / 12
⇒ $0.11 per ounce
Then the amount of the cost of the lemonade of 16 ounces will be
⇒ $0.11 x 16
⇒ $1.76
The amount of cost of the lemonade of 16 ounces will be $1.76.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
Find the dimensions of a rectangle with perimeter 100m area of 336
Answers
P=2L+2W A=L*W
We know that A = L*W = 336 sq meters and that P=2L + 2W = 100m.
Let's solve the first equation for L: L = 336/W
Subst. this into the formula for perimeter: 2[336/W] + 2W = 100 m (given)
Now all you have to do is to solve this for W:
336/W + W = 50 becomes 336 + W^2 = 50W.
Then W^2 - 50W + 336 = 0. Using the quadratic formula, I found that
50 plus or minus sqrt (1156) 50 plus or minus 34
W = ---------------------------------------- = -------------------------------
2 2
W has to be positive. Thus, choose W = (50+34) / 2 = 42
Then L = 336 / W, or 336 / 42, or 8.
The dimensions of this rectangle are 8 by 42.
You should check these results. Does P = 2(8) + 2(42) = 100 ?
7/8m +9/10-2m-3/5 how to do this question
Answers
4.1 Find the Least Common Multiple
The left denominator is : 8
The right denominator is : 10
appears in the factorization of: Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} 23135011 Product of all
Prime Factors 81040
Least Common Multiple:
40
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 4
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 40 as the denominator :
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
5.2 Adding up the two equivalent fractions
7.1 Pull out like factors :
36 - 45m = -9 • (5m - 4)
7.2 Find the Least Common Multiple
The left denominator is : 40
The right denominator is : 5
appears in the factorization of: Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} 23035111 Product of all
Prime Factors 40540
Least Common Multiple:
40
7.3 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 8
7.4 Rewrite the two fractions into equivalent fractions
7.5 Adding up the two equivalent fractions
8.1 Pull out like factors :
12 - 45m = -3 • (15m - 4)
What is the range of arcsinx
Answers
we know that -1≤x+1, hence the range of y is: -π/2≤y≤+π/2
Final answer:
The range of the inverse sine function, or arcsin(x), is the set of angles from -π/2 to π/2 radians, which is the same as -90° to 90° degrees. This defines the possible output values of the function for all real numbers in the interval [-1, 1].
Explanation:
The question "What is the range of arcsinx" concerns itself with the inverse trigonometric function, specifically the inverse of the sine function. The range of a function is the set of all possible output values it can produce. For the inverse sine function, or arcsin(x), the range is the set of angles that can produce all possible sine values, which are within the closed interval [-1, 1].
The sine function itself has a range from -1 to 1, so the arcsine function, being its inverse, takes on values that are angles that correspond to these sine values. In terms of angles, the range of the arcsin function is [-π/2, π/2] or [-90°, 90°] in degrees. This means that for any input value x within [-1, 1], the output of arcsin(x) will always be an angle measured in radians (or degrees) that falls within this range.
In right triangle ABC, AB = 10, AC = 6 and BC = 8 units. What is the distance from C to the midpoint of segment AB?
Answers
s=24/2=12
[tex] A=\sqrt{s(s-a)(s-b)(s-c)} [/tex]
A=24
and A=0.5 base height
sp
24=0.5 (base=AB=10)(height=c to the midpoint of segment AB)
24=5(height)
[tex] \frac{24}{5} [/tex]=height
Then layout the triangle as shown in the diagram .
then use Pythagoras theorem which is the hypotenuse squared is equal to the 2 shorter legs squared.
c2=a2+b2
c2=5^2+6^2
c2=25+36
c2=61
c=square root of 61
With continuous compounding, a principal of P dollars accumulates to an amount A given by the equation
A = Pe^rt
where r is the interest rate and t is the time in years.
a) suppose you start with a principal of $1000 and an interest rate of 7%. how much work will you have in ten years
b)suppose you start with a principal of $1000 and an interest rate of 75. how long will it be until you have $2000? round to the nearest tenth of a year. PLEASE HELP
Answers
[tex]\bf \qquad \textit{Continuously Compounding Interest Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1000\\ r=rate\to 7\%\to \frac{7}{100}\to &0.07\\ t=years\to &10 \end{cases} \\\\\\ A=1000e^{0.07\cdot 10}[/tex]
Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days
Answers
Corinne's puppy eats a total of 96 meals in 32 days.
To find out how many meals Corinne's puppy eats in 32 days, we need to multiply the number of meals per day by the number of days.
Determine the number of meals per day.
Since the puppy eats 3 meals a day, the number of meals per day is 3.
Calculate the total number of meals in 32 days.
Number of meals per day × Number of days = Total number of meals
3 meals/day × 32 days = Total number of meals
3 × 32 = Total number of meals
96 = Total number of meals
So, Corinne's puppy eats a total of 96 meals in 32 days.
Complete Question:
Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days ?
What is .16 repeating as a simplified fraction?
Answers
Which in that case is 1/6.
(Just from memory)
To do 0.161616161616...
First, assign 0.161616... a variable, say it's x.
Now say 100x, what is it.
16.1616161616...
Now subtract x from 100x.
16.161616161616... - 0.16161616...
Or, 99x
99x = 16 in this case right now
Divide both sides by 99
x = 16/99
So it really depends what's repeating, it's either 1/6 or 16/99.
Write an equation and solve. 21 is 35% of what number?
Answers
(21/60)=(35/100)
If a grouping of numbers, variables, operators and/or functions used to represent a specific mathematical computation or connection is known as an expression. The expression 21 of 35% is 60.
What is the expression?Let x represent the unknown number
The given data states that 21 is 35% of that unknown number.
Mathematically we can express this relationship as an equation:
0.35 * x = 21
To solve for x divide both sides of the equation by 0.35:
x = 21 / 0.35
Evaluating the expression on the right side of the equation:
x = 60
Therefore, 21 is 35% of 60.
Learn more about expression here:https://brainly.com/question/1859113
#SPJ6
If it is sunny, then I will have a picnic.
Today it is sunny
1)I will have a picnic today
2)if I am having a picnic, it must be sunny
3)if it is not sunny, then I will not have a picnic
4)not possible
Answers
Answer:
Answer not possible
Step-by-step explanation:
B
D
A
A
A
C
A
B
A
B
D
B
D
B
D
A
C
invalid
the rest on you guys yw
honors geom
One number is twice another number and their sum is 36. which system of equations represents the word problem? 2x y = 36 and x y = 36 x y = 36 and y = 2x y = 2x and 2x y = 36
Answers
y=2x and x+y=36
You were not asked to solve this problem, but should do so for practice. Subst. 2x for y in the 2nd equation: x + 2x = 36; 3x = 36; x = 12. Find y. Then check your solution.
Let
y------>one number
x------> another number
we know that
[tex]y=2x[/tex] ------> equation A
[tex]x+y=36[/tex] ------> equation B
substitute equation A in equation B
[tex]x+2x=36[/tex]
[tex]3x=36[/tex]
[tex]x=12[/tex]
Find the value of y
[tex]y=2x[/tex]
[tex]y=2*12=24[/tex]
the numbers are [tex]24[/tex] and [tex]12[/tex]
therefore
the answer is
The system of equations are
[tex]x+y=36[/tex] and [tex]y=2x[/tex]
The product of two consecutive positive even integers is 80. Find the integers
Answers
We can create an equation for this:
[tex](x)(x+2)=80[/tex]
Distribute the Parenthesis.
[tex]x^2+2x=80[/tex]
Add -80 to both sides.
[tex](x^2+2x)+(-80)=80+(-80)[/tex]
[tex]x^2+2x-80=0[/tex]
Factor the Simple Trinomial.
[tex]x^2+10x-8x-80=0[/tex]
Factor by Grouping.
[tex]x(x+10)-8(x+10)=0[/tex]
Factor the GCF.
[tex](x+10)(x-8)=0[/tex]
The Answer Is:
[tex](x+10)=0 \\ (x-8)=0[/tex]
[tex]x=-10 \\ x=8[/tex]
Either:
-10,-8 or 8,10
Can be the solution in this answer.
Hope this helps.
-Benjamin
Benjamin solved the equation 3 + x over 2 = 10 and justified each step as shown.
Identify Benjamin’s error and fix his mistake
Step:
3 + x/2 = 10
X/2 = 7
X= 14
Justification:
Given
Multiplication Property of Equality
Subtraction Property of Equality
Answers
Answer:
The equation itself is fine but the justification looks wrong step2 is subtraction property of equality and step3 is Multiplecation property of equaliity
I could be wrong but im 95% sure
Good luck!
A local little league has a total of 60 players 80 percent are right handed. How many right handed players are there
Answers
Grammy's apple orchard is selling apple cider in 34.7-ounce bottles for $2.09. Grammy's competitor is selling 24.6- ounce bottles of cider for $1.99. What is Grammy's competitor's price per ounce for cider?
Answers
Naomi has earned $54 mowing lawns the past 2 days. She worded 21/2 hours yesterday and 41/4 hourse today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?
Answers
first off, let's check how many hours she worked total, and divide 54 by it.
so, first off, let's convert the mixed fractions to "improper" and add them up.
[tex]\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\\\ \stackrel{mixed}{4\frac{1}{4}}\implies \cfrac{4\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{17}{4}}\\\\ -------------------------------[/tex]
[tex]\bf \cfrac{5}{2}+\cfrac{17}{4}\impliedby \textit{our LCD will be 4}\implies \cfrac{(2\cdot 5)+(1\cdot 17)}{4} \\\\\\ \cfrac{10+17}{4}\implies \cfrac{27}{4}\implies \stackrel{total~hours}{6\frac{3}{4}} \\\\\\ \cfrac{\stackrel{wages}{54}}{\stackrel{hours}{6\frac{3}{4}}}\implies \cfrac{54}{\frac{27}{4}}\implies \cfrac{\frac{54}{1}}{\frac{27}{4}}\implies \cfrac{54}{1}\cdot \cfrac{4}{27}\implies \cfrac{216}{27}\implies 8~\frac{\$}{hr}[/tex]
Write a situation in which positive and negative numbers are used to describe values that have the opposite meaning.
Answers
Joel has 210 baseball and football cards. He has 50 more baseball cards than football cards. How many of each does he have?
Need to explain this to a 3 rd grade without dividing?
Answers
hope this helps if so please mark me brainliest!! :)
HELP MEEEE!!!!!!!!! I BEG YOU !!!!!!
Answers
She earns $250 in one week, so we know she has earned that much. If she earns 8% on $1100.00, that means she earns $88. Add this to the $250, and you get $338 ~Have a Great Day!~
Find 20.25 + -15.711
Answers
hope this helps
Make sure if you have to show ur work line up the decimals and remember the rules to negative numbers
Find the volume v of the described solid s. the base of s is the triangular region with vertices (0, 0), (5, 0), and (0, 5). cross-sections perpendicular to the y-axis are equilateral triangles.
Answers
Final answer:
To find the volume of the solid with a triangular base and equilateral triangular cross-sections, we integrate the area of the cross-sections along the y-axis from 0 to 5 based on the changing side length, which is a linear function of y.
Explanation:
The problem requires finding the volume of a solid with a triangular base and equilateral triangular cross-sections perpendicular to the y-axis. The base of the solid, S, is a right triangle with vertices at (0, 0), (5, 0), and (0, 5). The height of each equilateral triangular cross-section at any point y is the distance from the point (y, 0) to the hypotenuse of the triangular base, which is linear and can be described by the equation x + y = 5. Because cross-sections are equilateral triangles, each side of a cross-section is twice the length of the height. Therefore, the area of a cross-section is ½∙height²∙√3.
As we move along the y-axis from 0 to 5, the length of a side of each cross-section decreases linearly from 5 to 0. We can integrate the area of these cross-sections from y = 0 to y = 5 to find the total volume of the solid. The integral for the calculation of volume is:
∫ (2∙(5-y))² × √3/4 dy from y=0 to y=5
Upon integrating, this gives us the volume of the solid S.
Word problem. Help (:
Answers
Please help and explain how you got it
Answers
notice, the figure is just, a triangle with a base of 3 and an altitude of 4, a rectangle of 4x7, and a semi-circle with a diameter of 4.
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \begin{cases} d=diameter\\ r=radius=\frac{d}{2}\\ -------\\ d=4\\ r=2 \end{cases}\implies \begin{array}{llll} A=\pi 2^2\implies A=4\pi\\\\ \textit{area of half that circle}\\\\ A_h=\cfrac{4\pi }{2}\implies A_h=2\pi \end{array} \\\\ -----------------------------\\\\ \stackrel{\textit{area of triangle}}{\frac{1}{2}\cdot 3\cdot 4}+\stackrel{\textit{area of the rectangle}}{4\cdot 7}+\stackrel{\textit{area of the semi-circle}}{2\pi } \\\\\\ 6~~+~~28~~+~~2\pi[/tex]
A store discounts the price of a beanbag chair by 20%. The price of the beanbag chair is marked as $16. What was the original price of the beanbag chair?
Answers
4/5 = 16/x
Since these are equivalent fractions;
you can divide 16 by 4
then multiply by 5
that should give you the original price of the bean bag chair!
original price of the beanbag chair was $20 before the 20% discount was applied.
To find the original price of the beanbag chair that has been discounted by 20%, we set up an equation. Let's denote the original price as P. A 20% discount on the original price means the chair is being sold for 80% (100% - 20%) of P. This is represented by the equation 0.80P = $16.
To find P, we simply divide both sides of the equation by 0.80:
P = $16 / 0.80
This gives us:
P = $20
Therefore, the original price of the beanbag chair was $20 before the 20% discount was applied.
Reteach to build to understand 10-4
Answers
i hope this helps!! have a great day :))
A refrigerator has a volume given by the trinomial y^3 + 5y^2 – 14y. What are the possible dimensions of the refrigerator? Use factoring
Answers
first factor out a "y"
y(y^2 + 5y - 14)
y(y + 7)(y - 2)
The dimensions are then;
y
y + 7
y - 2
the cost (in dollars) of making n birthday cakes is represented by C=24n+35. How many birthday cakes are made when the cost is $395? explain your reasoning
Answers
subtract 35 from both sides
360 =24n
divide both sides by 24
15=n