Answer:
Terms (Variables) = x , d . Their corresponding coefficients = n^2 , 1/2 . Constant = 6
Step-by-step explanation:
6 + n x n + 1/2d
6 + n^2 x + 1/2d
Terms (Variables) = x , d . Their corresponding coefficients = n^2 , 1/2 . Constant = 6
PLEASE HELP
Your friend is looking at laptops for
college, and is comparing the different
screen sizes. If a laptop has a height of 6
in and a diagonal of 17.5 in, use the
formula below to find the width of the
laptop screen. Round your answer to the
nearest tenths place
17.5 = √6² + w²
17.5² = 36 + w²
306.25 = 36 + w²
270.25 = w²
√270.25 = w
16.4392822 = W
= w = 16.44 in
2)
During a 500 minute car trip, Luke spent 74 minutes listening to his MP3 player, 56 minutes playing video games,
128 minutes watching a movie, and 38 minutes reading. The rest of the time he spent napping. If the time Luke
spent on these four activities is rounded to the nearest ten, about how many minutes did Luke spend napping?
A. 100 min.
B. 200 min.
C. 300 min.
D. 400 min.
Type here to search
O
9:28 PM
3/16/2021
DOLL
Answer:
B.) About 200 minutes napping
Step-by-step explanation:
74+56+128+38=296
500-296=204
204 is about 200
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Answer:
[tex]V = 6746.30cm^3[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 1700cm^2[/tex]
Required
Determine the largest possible volume
Represent the dimension with:
[tex]Height = h[/tex]
[tex]Sides = x[/tex]
Surface Area with an open top is:
[tex]Surface\ Area = x^2+ 4hx[/tex]
Substitute 1700 for Surface Area
[tex]1700 = x^2+ 4hx[/tex]
Make h the subject
[tex]4hx = 1700 - x^2[/tex]
[tex]h = \frac{1700 - x^2}{4x}[/tex]
The volume (V) is calculated as:
[tex]V = x^2h[/tex]
Substitute value for h in [tex]V = x^2h[/tex]
[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]
[tex]V = x*\frac{1700 - x^2}{4}[/tex]
[tex]V = \frac{1700x - x^3}{4}[/tex]
[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{1}{4}x^3[/tex]
Differentiate and equate to 0, afterwards
[tex]V' =425 - \frac{3}{4}x^2[/tex]
[tex]425 - \frac{3}{4}x^2 = 0[/tex]
[tex]\frac{3}{4}x^2 = 425[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = 425 * \frac{4}{3}[/tex]
[tex]x^2 = 566.67[/tex]
Take the square root of both sides
[tex]x = \sqrt{566.67[/tex]
[tex]x = 23.80[/tex]
Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]
[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]
[tex]h = \frac{1133.56}{95.20}[/tex]
[tex]h = 11.91[/tex]
So, the largest possible volume is:
[tex]V = x^2h[/tex]
[tex]V = 23.80^2 * 11.91[/tex]
[tex]V = 6746.30cm^3[/tex]
I need help on that question
Answer:
80√3
Step-by-step explanation:
here's your solution
=> First number is 4√5
=> Second number is 4√15
=> we need to find product
=> 4√5*4√15
=> 4*4 = 16
=> √5*√15. = √75
=> √75 = 5√3
=> now, multiple 5√3*16 = 80√3
hope it helps
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=19°, and FG = 62 feet. Find the length of GE to the nearest tenth of a foot.
Answer:180.1 feet
Step-by-step explanation:
Using tan to find the answer; Opposite/Adjacent = 62/x
tan19=62/x
xtan19=62 (cross multiply)
xtan19/tan19=62/tan19 (Divide each side by tan19)
x=62/tan19=180.0611=180.1 feet
help pls asap!!!!!!! brainliest!!!!!!
Question is in the photo.
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism
Given:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.
To find:
The total surface area of the prism.
Solution:
We have,
Height of prism = 7½ = 7.5
Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=169[/tex]
[tex]169=169[/tex]
So, the base of the prism is a right triangle.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base \times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 5\times 12[/tex]
[tex]A_1=30[/tex]
The area of the base is equal to the area of the top, i.e., [tex]A_2=30[/tex] sq units.
Perimeter of the base is
[tex]P=5+12+13[/tex]
[tex]P=30[/tex]
The curved surface area of the prism is
[tex]CSA=\text{Perimeter of the base}\times \text{Height of the prism}[/tex]
[tex]CSA=30\times 7.5[/tex]
[tex]CSA=225[/tex]
Now, the total area of the prism is
[tex]A=A_1+A_2+CSA[/tex]
[tex]A=30+30+225[/tex]
[tex]A=285[/tex]
Therefore, the total surface area of the triangular prism is 285 square units.
6x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped
The sum of two numbers is 59. The difference between the two numbers
is 11. Which is the larger of the two numbers?
Answer:
35
Step-by-step explanation:
The numbers are 35 and 24
35 + 24 = 59
35 - 24 = 11
35 > 24
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Step-by-step explanation:
The Answer is gonna have to be A
24. 5%
6. Which is the solution to the system of equations
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
Which algebraic expression is equivalent to 3 less than the sum of y and 5?
HELP!!!! PLZ!!!!!!
Please Help Will Give Brainlist
2a+2=6
Answer: 4a
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
2a + 2 = 6
2a + 2 - 2 = 6 - 2
2a = 4
2a / 2 = 4 / 2
a = 2
Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!
2) What angle measurement will make the value of sine and cosine
equal?
A) 30°
B)
45°
C) 60°
D 90°
please help!!!!!!!!
if XYZ ~ RST, find RS
Answer:
RS = 38
Step-by-step explanation:
20x - 12 = 18x + 12
2x = 24
x = 12
3(12) + 2 = 38
The value of the side of triangle RS is equal to 38.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the sides of the triangle XYZ are, XY = 5x - 3, XZ = 60 and the sides of the triangle TR = 40, RS = 3x + 2.
The value of RS will be calculated as,
( 5x - 3 ) / ( 3x + 2 ) = ( 60 / 40 )
( 5x - 3 ) / ( 3x + 2 ) = ( 6 / 4 )
20x - 12 = 18x + 12
2x = 24
x = 12
RS = 3x + 2
RS = ( 3 x 12 ) + 2
RS = 36 + 2
RS = 38
Therefore, the value of the side of triangle RS is equal to 38.
To know more about similarities follow
https://brainly.com/question/2650733
#SPJ2
please help me answer !!!!
Answer:
what are the options in the scroll down options
vjzgxv. vjvjcvjkv. vjvkvkkb
Find the distance from the center of a circle to a 14 m long chord if the diameter of the circle is 50 m.
(Draw a picture)
Answer:
700 I think...
Step-by-step explanation:
Multiply
Which two ordered pairs satisfy the equation y = 3x + 2 ?
* (0, 2) and (2, 8)
(1, - 1) and (- 2, 8)
(0, 2) and (- 1, 1)
(2, 8) and (0, 5)
1.
Prove that the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The equation is given as:
x^2 + (1 - k).x+k-3 = 0
For an equation to have real root, then the following must be true:
[tex]b^2 \ge 4ac[/tex]
In x^2 + (1 - k).x+k-3 = 0, we have:
a = 1
b = 1 - k
c = k - 3
So, we have:
[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]
Evaluate
[tex]1 - 2k + k^2 \ge 4k - 12[/tex]
Collect like terms
[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]
[tex]k^2 - 6k + 13 \ge 0[/tex]
Using a graphing calculator, the value of k is all real numbers
Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
Read more about real values at:
https://brainly.com/question/6499629
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]
[tex]x = \dfrac{1150 \pm 350}{2}[/tex]
[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
practice problem I need help
Answer:
21
Step-by-step explanation:
just put 21 ok that is the right answer
Answer:
r=21 (the second dot)
Step-by-step explanation:
To find r/3=7 we have to multiply 3*7
3*7=21
So r=21 because 21/3=7
What is the GCF of 4x^ 2 +6x
Answer:
The GCF of 4x^2 + 6x
is. (2x )
hope it helps
2x
In Mr. Elliot's garden, 1 8 of the flowers are red, 1 4 of them are purple, and 1 4 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?
Answer:
20
Step-by-step explanation:
Given that:
Red flowers = 1/8
Purple = 1/4
(1/8 + 1/4) = (1 + 2) / 8 = 3/8
Fraction left :
1 - 3/8 =. 5/8
Pink flowers :
1/4 of fraction left ;
1/4 * 5/8 = 5/32
Number of pink flowers
Total number of flowers = 128
5/32 * 128
640 / 32
= 20
20 pink flowers
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
A circle has a circumference of 7,805 units.
What is the radius of the circle?
Be a LEGEND by answering this
Answer:
A circle has a circumference of 7,805 units.
2πr= 7,805 units.
r=7805/2π1=1242.20unit is radius
11. A paint color requires the ratio of green paint to yellow paint to be 4 : 9
a. A container of this paint has 36 pints of yellow paint Write a proportion
that gives the numbir g of pints of green paint in the container'
b. How many pints of green paint are in the container?
c. how many gallons of paint are in the container altogether?
Answer:
Step-by-step explanation:
1) 36:81
2)81 pints
3)14.625 gallons of paint
4. Using the figure below, find the area of the circle. 10 cm
Answer:
we need the full picture of the circle to see if 10 cm is only half or not