Answer:
Step-by-step explanation:
Width =x
Length = 2*x = 2x
Diagonal = 5√5
Use Pythagorean theorem
Length² + Width² = diagonal²
(2x)² + x² = (5√5)²
{[tex](5\sqrt{5})^{2}=5\sqrt{5} *5\sqrt{5}=5*5*\sqrt{5*5}=25*5=75[/tex]}
4x² + x² = 75
5x² = 75
x² = 75/5
x² = 15
x = √15
Width = √15
Length = 2√15
Area of rectangle = length *width
= √15 *2√15
[tex]= 2* \sqrt{15*15}\\\\= 2*15\\= 30[/tex]
= 30 square units
A cone shaped party hat has a radius of 3 inches and a height of 6.5 inches. Find the number of cubic units that hat occupies?
Answer:
61.25
Step-by-step explanation:
The of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.
What is of volume of cone?Volume of cone is the amount of quantity, which is obtained it in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
A cone-shaped party hat has a radius of r=3 inches and a height of h=6.5 inches. The amount of cubic units it occupies is equal to the volume of hat.
Thus, put the values in the above formula as,
[tex]V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=61.26\rm\; in^3[/tex]
Thus, the of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.
Learn more about the volume of cone here;
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4) Twelve students came to class early. This is 40% of our class. How many students are
in our class?
find the length of missing side x
Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24
Step-by-step explanation:
| 1 point
Tonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is
600 feet above sea level. What is the vertical distance between the two elevations?
-450 ft.
450 ft.
-750 ft.
750 ft.
Answer:
750 ft
Step-by-step explanation:
Which dilation is shown by the graph?
Answer:
D. D₂ (∆XYZ)
Step-by-step explanation:
Dₙ = (x,y) → ((n)x, (n)y)
_________________
X = (-1, 2).
Y = (2, -1).
Z = (-2, -1).
_________
Dₙ ∆XYZ:
X(-1, 2) → X'(-2, 4)
Y(2, -1) → Y'(4, -2)
Z(-2, -1) → Z'(-4, -2)
______________
-2 / -1 = 2, 4 / 2 = 2.
4 / 2 = 2, -2 / -1 = 2.
-4 / -2 = 2, -2 / -1 = 2.
_______________
D₂ = (x,y) → ((2)x, (2)y).
X(-1, 2) → ((2)(-1), (2)(2)) = X'(-2, 4)
Y(2, -1) → ((2)(2), (2)(-1)) = Y'(4, -2)
Z(-2, -1) → ((2)(-2), (2)(-1)) = Z'(-4, -2)
_________________________
Lori has 79 stickers. This is three more
than twice as many as Beth has. How
many stickers does Beth have?
Answer:
38
Step-by-step explanation:
79-3=76
76 divided by 2 =38
What would be the measure of angle J?
Answer:
5q I would say
Step-by-step explanation:
As
3
x
−
q
=
5
q
, adding
=
q
on both sides, we get
3
x
−
q
+
q
=
5
q
+
q
or
3
x
=
6
q
, now multiplying both sides by
1
3
, we get
3
x
×
1
3
=
2
6
q
×
1
3
or
x
=
2
q
find the surface area of a cylinder with a base diameter of 4 yd and a height of 4 yd . write your answer in terms of π , and be sure to include the correct unit. How do I solve this?
Answer:
Surface area of cylinder = 24π
Step-by-step explanation:
Given:
Base diameter = 4 yd
So Radius = 4 / 2 = 2 yd
Height = 4 yd
Find:
Surface area of cylinder
Computation:
Surface area of cylinder = 2πr(h+r)
Surface area of cylinder = 2π(2)(4+2)
Surface area of cylinder = 2π(2)(6)
Surface area of cylinder = 24π
three odd consecutive integers are such that 3 times the smallest is 9 more than twice the largest .find the three numbers
Answer: 17, 19, 21
Step-by-step explanation:
Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)
Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)
Now the second equation:
3x = 2(x+4) + 9
three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9
Now solve
3x = 2(x+4) +9
3x = 2x + 8 + 9
3x = 2x + 17
x = 17
x+2 = 19
x+3 = 21
A rectangle has an area of 16in^2 and a perimeter of 20 in. Find the dimension of the rectangle.
Answer:
8 in x 2 in
Step-by-step explanation:
8 x 2 = 16
8 + 8 + 2 + 2 = 20
One side of a tabletop is 12x – 5 units long. Another side of the tabletop is 7x + 4 units long. If the tabletop is a square, what is the value of x?
Answer:
Step-by-step explanation:
All the sides of a square are equal, so:
12x - 5 = 7x + 4
12x - 7x = 4 + 5
5x = 9
x = 9/5
Jarod took a survey of the number of 6th grade students that played sports. Twenty students played tennis, eighty students played football, fifteen students played volleyball and ten students played golf? What percent of the students played volleyball or golf?
Answer:
8% played golf and 12% played volleyball
Step-by-step explanation:
add the total number of. student, 125, then write as fraction, 10/125 and 15/125, then convert to percentage
Use the Pythagorean Theorem, a2+b2=c2 to find the length of a triangle when b = 24 feet and c = 25 feet. Round your answer to the nearest whole number.
A. 7 ft
B. 8 ft
C. 49 ft
D. 576 ft
Answer:
7
Step-by-step explanation:
The circumference of a circular garden is 122.46 feet. What is the diameter of the garden? Use 3.14 for pi and do not round your answer.Clude the correct unit in your answer.
Answer:
38.98
Step-by-step explanation:
d=c/pie
i dont know this is correct
find the value of given expression
[tex] \sqrt{40000} [/tex]
Answer:
200
Step-by-step explanation:
have a nice day or evening
Answer:
√40000=√(200)²=200 is your answer
pls help im confused
Answer:
5 and 100
8 and 160
9 and 180
12 and 240
Step-by-step explanation:
Since for every one sweatshirt there is $20 collected. Simply plug this in and do the multiplication and division.
5x20 = 100
8x20 = 160
180/20 = 9
12x20 = 240
Answer:
3, 5, 8, 9, 12
60, 100, 160, 180, 240
Step-by-step explanation: the only values that you have full information for is the first column
3, 60
to get from 3 to 60 you would multiply by 20, so for the next column multiply 5 by 20 to get 100
then 8, 160
for the fourth column you would just divide 180 by 20, 9
and finally for the last column you would multiply 12 by 20 to get
240
Bliss is collecting money for a fundraiser. She starts with a $2 bronze star donation from her parents, then receives 3 equal silver star donations from her neighbors. If she ends with $18, how much money does she receive from a silver star donor?
Answer: $5.33
Step-by-step explanation:
Bliss was able to collect $18 in total.
Out of this total, she received a $2.00 bronze star donation and the rest were 3 Silver star donations.
This means that the 3 equal silver star donations added up to:
= 18 - 2
= $16.00
This means that each silver star donation was:
= Amount in total / Number of silver stars
= 16 / 3
= $5.33
Maddy's fourth grade class is going on 5 field trips. Each has a fee of $12.10. Sack lunches for each trip are an additional $2.75. Round each amount to the nearest dollar to find an estimate for the cost of all 5 trips.
Answer:
12.10+2.75=
14.85x5=
74.25 or
75
Step-by-step explanation:
hope this helps
I NEED HELP PLS SOMEONE HELP ME!!!!
Answer:
126 centimeters squared
Step-by-step explanation:
i need to find what takes the question marks place. help please i have limited time. i’ll give good review.
(10x^2+10x^3-9x^4)-(4x^3+?-8x^2)=-19x^4+6x^3+18x^2
Suppose a student visited 81 websites while conducting research. If 9 of the websites were "us.gov" websites, what percentage of the websites visited were NOT "us.gov" websites? Round your answer to the nearest whole percent.
Answer:
9/81 or 1/9 = .1111111111R
Step-by-step explanation:
It is that because that is the decimal and 9 goes into 9 once and 9 goes into 81 nine times
PLEASE ANSWER THIS FOR MEEEEE
Answer:
23°
Step-by-step explanation:
sin ∠N= OP/NO= 19/49
⇒∠N ≈ 23°
5d=10d-20 please answer quickly
Answer:
D = 4
Step-by-step explanation:
None
Answer:
4
Step-by-step explanation:
Subtract 10d from both sides
5d-10d=-5d
-5d=-20
d=4
What is the equation of the bold line on the coordinate grid?
A) x = 3
B) y = 3
C) y = 3x
D) x + y= 3
Answer A and B. I will give a brainliest to the best answer.
It was a “scorcher.” The temperature was 102°F in the shade.
(a) The temperature was how many degrees above the
freezing point of water?
(b) The temperature was how many degrees below the
boiling point of water?
Answer:
a) 70 degrees
b) 110 degrees
Step-by-step explanation:
Freezing point of water is 32 degrees.
Boiling point of water is 212 degrees.
Hope this helped :)
Perform the indicated operation.
[tex]x + 5 / 3[/tex] -[tex]X - 3 / 2[/tex]
Answer:
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]
Required
Solve
[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]
Collect like terms
[tex]x + \frac{5}{3}-x - \frac{3}{2} = x -x+ \frac{5}{3} - \frac{3}{2}[/tex]
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{5}{3} - \frac{3}{2}[/tex]
Take LCM
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{10 -9}{6}[/tex]
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]
The area of a rectangular dance floor is 8 1/4
square yards, and its width is 3 1/2 yards. What is the patio's length in yards
A 54
B 2
C 4:
D 5
Answer:
2 5/14 yards
Step-by-step explanation:
Area of the rectangular floor = Length * Width
Given
Area = 8 1/4 square yards
width = 3
1/2 yards
Required
Length
Length = Area/width
Length = (8 1/4)/(3 1/2)
Length = 33/4 ÷ 7/2
Length = 33/4 * 2/7
Length = 33/14
length = 2 5/14 yards
This gives the required length
Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?
Answer:
Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?
$3.12
Find the measure of GKH.
Answer:
50
Step-by-step explanation:
What do you call a wasp?
Wasp, any member of a group of insects in the order Hymenoptera, suborder Apocrita, some of which are stinging. Wasps are distinguished from the ants and bees of Apocrita by various behavioral and physical characteristics, particularly their possession of a slender, smooth body and legs with relatively few hairs.