Answer:
15 ft by 35 ft
Step-by-step explanation:
15 + 15 + 35 +35
=100 ft
Answer:
Perimeter = 2 × (length + width) -------(1)
Let width be w
Given length is 20ft longer than width, L = 20 + w
substitute L and w in (1)
perimeter = 2× ( 20 + w + w)
100 = 2 ×(20 + 2w)
50 = 20 + 2w
30 = 2w
w= 15feet
L = 20 + w = 20 + 15 = 35feet
option 1) 15 ft by 35ft
Find the volume of a sphere with a diameter of 6.2 in.
Answer: its 23 meters
Step-by-step explanation:
The volume of a sphere with a diameter of 6.2 in is 39.72π
What is the volume of the sphere?The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.
The radius of the sphere is;
[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]
The volume of the sphere is;
[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]
Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.
Learn more about sphere here;
https://brainly.com/question/9994313
#SPJ2
Order these numbers from least to greatest: 5, 0, 1, -13 -1-1
Answer:
-1 1/2, -1, 0, 1/2, 1
Step-by-step explanation:
Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).
Answer:
[tex]9x^{2} -34[/tex]
Step-by-step explanation:
Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]
The point in the middle between 3G and 3 is a multiplication sign btw
(100 POINTS WILL MARK BRAINLIEST FOR ACTUAL ANWSERS) Write an equation in standard form of the ellipse with vertices (0,-2) and (8,-2), and a focus located at (7,-2)
Answer:
(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0
Step-by-step explanation:
Either one should be right I think. Hope this helps.
Help please this is for an important test
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
What is the probability that the first three students all randomly select a pen with blue ink?
A. 1/4
B. 1/27
C. 1/64
D. 1/220
We have 12 pens in total
P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =
(1/4) * (1/4) * (1/4) =
1/ 64
The required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of sample = 12
Favorable outcome = 3
Required probability that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
= 1 / 64
Thus, the required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
How many solutions
Line A: x + y = 2
Line B: 2x + y = 4
Answer:
1 solution (2, 0 )
Step-by-step explanation:
Given the 2 equations
x + y = 2 → (1)
2x + y = 4 → (2)
Subtract (1) from (2) term by term to eliminate y
2x - x + y - y = 4 - 2 , that is
x + 0 = 2
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (1)
2 + y = 2 ( subtract 2 from both sides )
y = 0
one solution is (2, 0 )
13 - [(3² x 4) - 30]
Answer:
7
Step-by-step explanation:
13 - [(3² x 4) - 30]
13 - [(9 x 4) - 30]
13 - (36 - 30)
13-6
7
Answer:
7
Step-by-step explanation:
I think the answer you're looking for is 7
Item 2
Jake ran 145 meters before lunch and 389 meters after lunch.
How many kilometers did Jake run in all?
A. 0.00534 km
B. 0.0534 km
C. 0.534 km
D. 5.34 km
Write a equation to represent the hanger ,7th grade math help me
If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.
Answer:
Step-by-step explanation:
ax² + 7x + b
Substituting 2/3 in equation
4a/9 + 14/3 +b = 0
4a/3 + 14 + 3b = 0
4a + 42 + 9b = 0 ------> (i)
Substituting -3 in equation
9a - 21 + b = 0
81a - 189 + 9b = 0 ------> (ii)
Elimination method
a = 3
substituting in any equation
b = -6
A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party,
3 1/3 small bags and 2 1/4 large bags were left.
a) How many small bags would the leftover popcorn fill?
b) How many large bags would the leftover popcorn fill?
Please help me fast, also show all work and steps please:)
Answer:
A] 37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12
Step-by-step explanation:
Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.
Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.
So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) = [ 10 p / 3 ] + [ (9 x 4) p / 4 ] = 10p / 3 + 9p = (10p + 27p) / 3 = 37p / 3
A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn = ( 37p / 3 ) / (p) = 37 / 3 = 12 1/3
B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn = ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12
Please help me I've been on this question for like and hour-
Answer:im so sorry i dont know this one
Step-by-step explanation:but i would try adding subtracting or divison
Answer:
21
Step-by-step explanation:
We can use a proportion to solve this problem
8 : 33.6 = 5 : OP
OP = (33.6 x 5)/8 = 21
Simplify 5 (x + 2) + 2 (x - 5)
Answer: 7x let me know if you need an explantion.
help plssssssssssssssssss
Answer:
There’s two options for each. Look below.
Step-by-step explanation:
Savings: there is no risk of losing any money put into this account
interest income is the only way to earn money in this type
‘investment: this account may generate income from a variety of sourses.
If no deposits or withdrawals are made, money held in this acct..
Mathematics
10³x10³x10²
Answer:
100,000,000/10^8
Step-by-step explanation:
10^3 = 1000
10^3 = 1000
10^2 = 100
Therefore,
= (1000) x (1000) x (100)
= (100,000) x (100)
= 100,000,000
or
= 10^8
¿Cuál de las siguientes respuestas es equivalente a 5 km?
(3 puntos)
50.000 metros
500 metros
5.000 metros
0.005 metros
Answer:
5
[tex] 5 \times 100 = 500[/tex]
For the given configuration, determine how many different licence plates are possible of (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated. NO LINKS!!
9514 1404 393
Answer:
5a,b = 17,576,000; 11,232,000
6. 45,697,600; 32,292,000
7. 6,760,000; 3,276,000
8. 118,813,760; 78,936,000
Step-by-step explanation:
The number of possible ways the characters can occur is the product of the numbers of ways a character can be selected in each position. If letters or digits cannot repeat, the number of possible selections is reduced by 1 in each new location.
5a. 26×26×26×10×10×10 = 26³×10³ = 17,576,000
5b. 26×25×24×10×9×8 = 11,232,000
__
6a. 10²×26⁴ = 45,697,600
6b. 10×9×26×25×24×23 = 32,292,000
__
7a. 10⁴×26² = 6,760,000
7b. 10×9×8×7×26×25 = 3,276,000
__
8a. 26⁵×10 = 118,813,760
8b. 26×25×24×23×22×10 = 78,936,000
Solve:
22,064 ÷ 394=
Answer: 56
394 goes into 22064 56 times.
Answer:
0.056
The Answer is 56!!!!
Step-by-step explanation:
WILL
GIVE
BRAINLIST
FIND THE OPPOSITE OF THE NUMBER
21
Answer:
it's
-21
or 12
which one you mean
Suppose two rectangles have the same area. Must they have the same length and width? Explain.
Answer:
no
Step-by-step explanation:
Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.
49°
Solve for 42.
2 = [?]
44/62
Answer:
∠2 = 41°
Step-by-step explanation:
∠2 + 49° + 90° = 180°
∠2 + 139° = 180°
∠2 = 180° - 139°
∠2 = 41°
Answer:
[tex] \displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg][/tex]
Step-by-step explanation:
we are given a right angle triangle
we want to figure out the missing interior angle
recall that,
one of angle measure of a right angle triangle is 90° interior angles of a triangle add up to 180°thus our equation is
[tex] \displaystyle {49}^{ \circ} + \angle2 + {90}^{ \circ} = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle \angle2 + {139}^{ \circ} = {180}^{ \circ} [/tex]
cancel 139° from both sides:
[tex] \displaystyle \angle2 = {41}^{ \circ} [/tex]
hence,
the measure of the missing angle is 41°
Which table represents a function
Answer:
A
Step-by-step explanation:
because it passes the vertical line test and also for every x, there is only one y
Question 1
Simplify the following arithmetic expression without using a calculator:
1/2 + 7/8 X 49/8 = 7/2 - 3/32
12-1/2 x 271/2
Answer:
0 = 0 = 0 = 0 = 0 < 1/
2
< 7/
8
< 7/
2
< 49/
8
< 12 < 271/
2
0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/
2
is less than 7/
8
is less than 7/
2
is less than 49/
8
is less than 12 is less than 271/
2
0/
8
= 0/
8
= 0/
8
= 0/
8
= 0/
8
< 4/
8
< 7/
8
< 28/
8
< 49/
8
< 96/
8
< 1084/
8
Step-by-step explanation:
unction f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all
9514 1404 393
Answer:
(d) all real numbers greater than or equal to -1
Step-by-step explanation:
The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.
y ≥ -1
Using the letters suggested, construct a simple formula:
A car travels a km/h for b km and makes another journey at c km/h for d km.
a. Find the total distance (s km) the car travels
b. Find the formula for the Average Speed of the entire journey.
Answer:
Speed = distance / time
Time = distance/ Speed
Distance = Speed x time
if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c
Answer:
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + c[/tex]
In which m is the slope and c is the y-intercept(value of y when x = 0).
A(2;2) and B(-3;4)
When we have two points, the slope is the change in y divided by the change in x. So
Change in y: 4 - 2 = 2
Change in x: -3 - 2 = -5
Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + c[/tex]
A(2;2)
When [tex]x = 2, y = 2[/tex]. We use this to find c.
[tex]y = -\frac{2}{5}x + c[/tex]
[tex]2 = -\frac{2}{5}(2) + c[/tex]
[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
(-8,3)(-3,-4.5) what is zero of g?
Answer:
the daimeter of the heart of the heart of the heart
I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0).
A. 5x
B.-1/5
C.1/5
D.-5
Answer:
B. -1/5
Step-by-step explanation:
To find the slope we place (0-1) over (4- (-1))
Can somebody help, will give brainliest
9514 1404 393
Answer:
c = 2segments 10, 8, 6 (top down)Step-by-step explanation:
The sum of top and bottom bases is twice the midsegment.
(c² +6) +(c² +2) = 2(4c)
2c² -8c +8 = 0 . . . . . . . . . subtract 8c
2(c -2)² = 0 . . . . . . . . factor
c = 2 . . . . . . the value that makes the binomial be zero
The value of c is 2; the segment lengths (top-down) are 10, 8, 6.
Is it possible for a triangle to have a 54 degree angle and a 126 degree angle? Explain why or why not.
Answer:
No
Step-by-step explanation:
Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible
Answer:
No
Step-by-step explanation:
No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.