5. The area of the greatest square that is cut from a rectangle of sides
7cm and 4cm is
(1)
49sq.cm (ii) 28sq.cm (iii) 16sq.cm (iv) 9sq.em
Answer:
16 cm²
Step-by-step explanation:
The dimension of rectangle = 7cm by 4 cm
The Area of the greatest square that can be cut from the rectangle :
The dimension has to be the Same to form a square :
Hence, the greatest width = 4cm
Therefore, taking the length also as 4cm
Area of square = side length²
Greatest area of square that can be cut = 4² = 16cm²
city workers recorded the number of squirrels in a park over a period of time. At the first count, there were
30 total squirrels. After 1 year, the city workers recorded a total of 60 squirrels, and after 2 years there were
120
a. Write a function that represents the population of squirrels recorded over x number of years,
b. Assuming the same growth rate and no squirrel dies, what will the squirrel population be in 6 years?
Justify your answer mathematically
Function:
A. x times 60 = the amount of squirrels in that year
Answer
B. 6 X 60 = 360
Step-by-step explanation
Years | Squirrels
______________
1 | 60
---------------------------
2 | 120
-------------------------
3 | 180
-------------------------
4 | 240
-------------------------
5 | 300
-----------------------
6 | 360
For this question, if the answer is not a whole number, enter it as a fraction using / as the fraction bar.
Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time. The truck Rajek uses is shown below.
The base of the container has an area of 50 1/4 square feet.
Answer:
226 1/8
Step-by-step explanation:
Substitute the measurements of the container into the formula.
The amount of cardboard Rajek can fit in the container at one time is cubic feet.
The total surface area of the container is 9L + 9W + 50 1/4
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.
The container has a rectangular base with an area of 50 1/4 square feet.
Let's assume the length of the base is L and the width is W.
We know that:
L x W = 50 1/4
We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.
The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.
The surface area of one side is:
L x (9/2) = (9/2)L
The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.
The surface area of one end is:
W x (9/2) = (9/2)W
Finally, the container has a top, which is a rectangle with a length of L and a width of W.
The surface area of the top is:
L x W
To find the total surface area of the container, we add up the surface area of each of these parts:
Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)
Simplifying this expression, we get:
Total surface area = 9L + 9W + LW
We know that L x W = 50 1/4, so we can substitute this into the equation:
Thus,
The total surface area of the container is 9L + 9W + 50 1/4
Learn more about rectangles here:
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Help it is past due!!! One hundred points
i wont give the answer but i will tell you how to solve
Opening Exercise
The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?
Discussion
When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).
Exploratory Challenge
Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.
Does every figure have a line of symmetry?
Show work to triangles 2 and 3 explaining why they are right triangles
Answer:
Step-by-step explanation:
In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.
We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.
In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:
[tex]\sqrt{443}^2+17^2=24^2[/tex] which gives us
443 + 289 = 576, but 732 does not equal 576, so that one is not right.
In the second set, the sqrt of 725 is the longest side, so that formula is:
[tex]\sqrt{725}^2=14^2+23^2[/tex] which gives us
725 = 196 + 529, and 725 does equal 725, so that one is right.
In the third set, the sqrt of 890 is the longest side, so:
[tex]\sqrt{890}^2=19^2+23^2[/tex], which gives us
890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.
Please help
look at picture
Any answers not related to the question above will be reported
Answer:
5206 cm^2
Step-by-step explanation:
2(31×23 + 31×35 + 23×35)
2(713 + 1085 + 805)
2(2603)
5206
Penzance, Edinburg and Aberdeen all lie in a straight line.
The distance from Penzance to Aberdeen is 660 miles.
The distance from Penzance to Edenburg is 542 miles.
Work out the distance from Edinburgh to Aberdeen.
Answer: 505
Step-by-step explanation:
I searched it up
There are less 32 students in Mr. B’s math class
Answer:
-32????
Step-by-step explanation:
I don't see an actual question here, so my three answers that I got from this post are:
-32
<32
>-32
carry out the following divisions.
Answer:
9a²b²c²
Step-by-step explanation:
72a³b⁴c⁵ / 8ab²c³
= 9a²b²c²
The Mohs scale is used to measure:
streak
cleavage
hardness
luster
Answer:
Hardness.
Step-by-step explanation:
A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.
Answer:
hardness
Step-by-step explanation:
number 3
(fractions 5th grade) 3/9 + 2/3
Answer:
1
Step-by-step explanation:
Simplify 3/9 by 3 -> 1/3
Now that both fractions have the same denominator, you can add them.
1/3 + 2/3 = 3/3 or 1
pls help asap
AABC ~ ADEF B. Х 8 А 'C E 3 6. D ' x = [?] Enter
Answer:
[tex] \boxed{ \tt{x = 4}}[/tex]
Step-by-step explanation:
[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]
John ran 1 of a mile in 8 minutes. If he continues running 2 at that speed, how long will it take him to run one mile? A) 4 minutes B) 8 minutes C) 12minutes D) 16 minutes
Answer:
d 16 minutes
Step-by-step explanation:
1 mile equals 8 minutes
2 miles equals 16 minutes
how many 5 digits numbers can be created using digits 1,2,3,7, and 6 without repeating any digits within that 5-digit number?
There are 5 numbers that can be used.
The first digit can be 1 of 5
The second digit can be 1 of 4
The third digit is 1 of 3
The fourth digit is 1 of 2
The fifth digit is 1 of 1
Total digits that can be created = 5 x 4 x 3 x 2 x1 = 120
A teacher is making 7 identical supply boxes
for each table in her classroom. Each box
contains some pencils and 11 pens. The
teacher uses a total of 182 pencils and pens.
Determine the number of pencils that are in
each box.
Answer:
26
Step-by-step explanation:
182 pencils devided by 7 identical boxes
182÷7
=26 pencils are in each box
Answer:
15 pencils in each box
Step-by-step explanation:
If each box has 11 pens,then there are 77 pens
In total 182 pencils and pens
182-77 = 105 (105 pencils)
105/7 = 15
15x7 = 105
11x7 = 77
105 +77 = 182
47) How much does 75 gallons of water weigh
Answer:
It weighs 850 pounds
Step-by-step explanation:
Have a nice day
Find the area of the figure. Use 3.14 for A. N 8 m 12 m
Answer: 105m²
Formula for Area of Circle: A = π r²
so, A = 3.14 (6)² (I got 6 because radius is half the diameter)
Don't forget to divide the final area of the circle in half, because It's only a semicircle.
Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]
so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)
You need to multiply the final area of the triangle by 2 since there are 2 triangles.
Step-by-step explanation:
Cos Milky said it. Trust Milky. Milky smart.
Answer:
deez nù Tx. . .
Step-by-step explanation:
source:trust me bro
Half of a number is equal to 14
Which conic section is represented by the following equation?
5x2 – x + 5y2 – 3y + 4 = 0
Circle
Ellipse
Parabola
Hyperbola
Answer:
A. circle
Step-by-step explanation:
Answer:
A: Circle!
Step-by-step explanation:
Edge 2022
The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A. interquartile range
B. mean
C. median
D. range
HEEEEEEEEEEEEELLLLLLLLLLLLLLLLLPPPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZ
Answer:
(6x + 3) + (7x - 44) = 180
6x + 3 + 7x - 44 = 180
13x - 41 = 180
13x = 221
adjacent x = 17
Please help me with this and explain how you got the answer thank you
Please help! :( If AJKL = ARST, which congruences are true by CPCTC? Check all that apply.
A. ZL ZR
B. KL: ST
C. KZS
D. JK = RS
E. JL - RS
F. LJ2S
Step-by-step explanation:
I just got it on a pex. JK=RS. KL=ST. K=S. those are the answers
The congruences that are true by CPCTC are:
∠L = ∠R
KL ≅ ST
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
If ΔJKL = ΔRST, then the corresponding parts of the triangles are congruent.
CPCTC stands for "corresponding parts of congruent triangles are congruent,"
So we can use this property to determine which congruences are true.
∠L = ∠R:
This is true by CPCTC because they are corresponding angles in congruent triangles.
JK ≅ RS:
This is not true by CPCTC because they are not corresponding sides in congruent triangles.
KL ≅ ST:
This is true by CPCTC because they are corresponding sides in congruent triangles.
JL ≅ RS:
This is not true by CPCTC because they are not corresponding sides in congruent triangles.
∠L = ∠S:
This is not necessarily true just by the fact that ΔJKL = ΔRST.
It could be true in some cases, but it is not guaranteed by CPCTC.
Therefore,
The congruences that are true by CPCTC are:
∠L = ∠R
KL ≅ ST
Learn more about triangles here:
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what is the measure of angle k?
9514 1404 393
Answer:
59°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
∠N +∠L = 180°
(a +16) +(a -18) = 180
2a = 182 . . . . . . . . . . add 2
a = 91 . . . . . . . . . . . . divide by 2
Then the measure of angle M is ...
∠M = (a+30)° = (91 +30)° = 121°
and angle K is its supplement.
∠K = 180° -121°
∠K = 59°
need help on geometry question :)
Answer:
the answer is 9√3
sin60°= p/h
√3/2 = x/18
by cross multiplication we get
18√3=2x
therefore: x=9√3
Answer:
I think it's 12√3
I don't know if I'm correct
please help im literally crying i cant fail this please
help please. pleasee i will mark brain please
Answer:
A=3
B=3
C=2.5
D=5
E=1
F=2
G=4
Here you go! Happy to help!
Step-by-step explanation:
Question 7 (5 points)
(06.04 LC)
The equation of the line of best fit of a scatter plot is y = 8x - 1. What is the slope of
the equation? (5 points)
1)-8
2-1
3) 1
4) 8
Answer:
4) 8
Step-by-step explanation:
In the formula y = mx + b, m is the slope and b is the y-intercept
m = 8
b = -1
If m = 8 and m is the slope, then the slope is 8
Х
49°
Xa
degrees
please help
Answer:
x = 139 degrees
Step-by-step explanation:
first, find what the missing interior angle is:
add the known angles:
90 + 49 = 139
subtract the sum from 180:
180 - 139 = 41
now to solve for x, take 180 and subtract 41:
180 - 41 = 139
x = 139 degrees
what is 261.8 rounded to the nearest tenth
is it 261.80?