Answer:
5/2 cm
Step-by-step explanation:
Given that:
Area of triangle = 25/12 cm
Height of triangle = 5/3 cm
Let,
Length of the base = b
Recall :
Area of a triangle = 1/2 * base * height
Substitute the values above into the equation :
25 /12 = 1/2 * b * 5/3
25 /12 = 5b/ 6
Using cross multiplication
25 * 6 = 12 * 5b
150 = 60b
Divide both sides by 60 to isolate b
150/60 = 60b / 60
b = 5/2 cm
Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .
Answer choices are
A:50
B:60
C:120
D:150
A system of linear equations is shown below.
y= 2x + 1
y = - 1/4x + 3
Which equation can be used to determine the value of x for the solution?
Answer:
Step-by-step explanation:
hello :
2x+1 = -1/4 x+3....same y
Find the inverse of
g(x)=16+x/4
Give full explanation
Answer:
x/4 + 16
Step-by-step explanation:
to add or subtract the expressions expand them to make therir deomanators the same . Multiply 16 times 4/4
since 16 x 4/4 have the same deniomanator add them by adding the numorators
do the multiplications in 16X4 + x
= x/4 + 16
hopes this help!
Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?
Answer:
153 batches
Step-by-step explanation:
Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?
the points m(-10, 3) and p(-4, -8) are graphed on the coordinate plane. to the nearest tenth of a unit what is the distance between points m and p
Answer:
Distance between points m and p = 12.53 unit (Approx.)
Step-by-step explanation:
Given:
Co-ordinate of points
m(-10, 3)
p(-4, -8)
Find:
Distance between points m and p
Computation:
Distance between two points = √(x1 - x2)² + (y1 - y2)²
Distance between points m and p = √(-10 + 4)² + (3 + 8)²
Distance between points m and p = √(-6)² + (11)²
Distance between points m and p = √36 + 121
Distance between points m and p = √157
Distance between points m and p = 12.53 unit (Approx.)
In which quadrant said is each point located.
Answer:
Quadrent II
Step-by-step explanation:
It is like a elevator. You have to walk to the elevator to go before you can go up. So you go to the negative area first and then climb up because 8 is positive, and that would land you in Quadrent II
Macy rolls a fair eight sided die with sides numbered from 1 to 8. Then from a box, she draws a numbered slip of paper. The slips of paper have numbers shown below.
1,2,5,7,8
Finally, she calculates the sum of her results.
Select all the true statements.
1.)A sum equal to 8 is the result 20 times in 80 rounds. This suggests the game is unfair.
2.)The probability of getting a sum that is a multiple of 3 is 3/8
3.) The probability of getting a sum that is even is 1/2.
4.) The probability of getting a sum that is greater than or equal to 12 is 11/40.
5.) The probability of getting a sum that is less than 10 is 21/40
There can be multiple answers
Probabilities are used to determine the chances of an event. The true statements from the 5 options are:
Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]Probability of even sum is [tex]\frac{1}{2}[/tex]Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]Given that:
[tex]Die =\{1,2,3,4,5,6,7,8\}[/tex]
[tex]Number = \{1,2,5,7,8\}[/tex]
The possible outcomes are:[tex]S = \{(1,1),(1,2),(1,5),(1,7),(1,8),(2,1),(2,2),(2,5),(2,7),(2,8),(3,1),(3,2),(3,5),(3,7),(3,8)\\(4,1),(4,2),(4,5),(4,7),(4,8),(5,1),(5,2),(5,5),(5,7),(5,8),(6,1),(6,2),(6,5),(6,7),(6,8),\\(7,1),(7,2),(7,5),(7,7),(7,8),(8,1),(8,2),(8,5),(8,7),(8,8)\}[/tex]
The sum of the outcomes are:
[tex]S = \{2,3,6,8,9,3,4,7,9,10,4,5,8,10,11,5,6,9,11,12,6,7,10,12,\\13,7,8,11,13,14,8,9,12,14,15,9,10,13,15,16\}[/tex]
Rearrange
[tex]S = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,\\12,12,12,13,13,13,14,14,15,15,16\}[/tex]
[tex]n(S) = 40[/tex]
Next, we test the options
(1) The game is unfair
The question implies that the eight sided die is fair. This means that the game is fair.
Option (1) is false.
(2) Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]
The multiples of 3 in the sample space are:
[tex]3's = \{3,3,6,6,6,9,9,9,9,9,12,12,12,15,15\}[/tex]
[tex]n(3's) =15[/tex]
The probability is then calculated as:
[tex]P(3's) = \frac{n(3's)}{n(S)}[/tex]
[tex]P(3's) = \frac{15}{40}[/tex]
Simplify
[tex]P(3's) = \frac{3}{8}[/tex]
Option (2) is true
(3) Probability of even sum is [tex]\frac{1}{2}[/tex]
The even outcomes are:
[tex]Even =\{2,4,4,6,6,6,8,8,8,8,10,10,10,10,12,12,12,14,14,16\}[/tex]
[tex]n(Even) = 20[/tex]
The probability is then calculated as:
[tex]P(Even)= \frac{n(Even)}{n(S)}[/tex]
[tex]P(Even)= \frac{20}{40}[/tex]
Simplify
[tex]P(Even)= \frac{1}{2}[/tex]
Option (3) is true
(4) Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]
The outcomes of a sum greater than or equal to 12 are:
[tex]Sum \ge 12 = \{12,12,12,13,13,13,14,14,15,15,16\}[/tex]
[tex]n(Sum \ge 12) = 11[/tex]
The probability is then calculated as:
[tex]P(Sum \ge 12) =\frac{n(P(Sum \ge 12)}{n(S)}[/tex]
[tex]P(Sum \ge 12) =\frac{11}{40}[/tex]
Option (4) is true
(5) Probability of a sum less than 10 is [tex]\frac{21}{40}[/tex]
The outcomes of a sum less than 10 are:
[tex]Sum < 10 = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9\}[/tex]
[tex]n(Sum < 10) = 22[/tex]
The probability is then calculated as:
[tex]P(Sum < 10) =\frac{n(P(Sum < 10)}{n(S)}[/tex]
[tex]P(Sum < 10) =\frac{22}{40}[/tex]
Option (5) is false
Hence, the true statements are: options 2, 3 and 4.
Read more about probabilities at:
https://brainly.com/question/20954641
Answer:
2.) The probability of getting a sum that is a multiple of 3 is 3/8
3.) The probability of getting a sum that is even is 1/2.
4.) The probability of getting a sum that is greater than or equal to 12 is 11/40
Explanation:
Which function is the inverse of f(x) = 2x + 3
o f(x) = - 1 / 2 x - 3/2
o f(x) = 1/2 x -3/2
o f(x) = -2x+3
O f(x)=-2x+3
Answer:
[tex] \frac{ - 1}{2}x - \frac{ - 3}{2} [/tex]
Step-by-step explanation:
I think so
Solve:
3x + y = 10
y = 6x - 8
Answer:
( x , y ) = ( 2 , 4 )
Step-by-step explanation:
Hope this helps!
A rock weighs 80 g on a triple beam scale. The same rock is then gently placed inside a graduated cylinder containing 30 mL of water. If the water level in the graduated cylinder rises to 75 mL. What is the density of the rock
Answer:
1.78 g/cm³Step-by-step explanation:
80 g rock displaces water:
75 ml - 30 ml = 45 ml = 45 cm³Density = mass / volume:
d = 80 g / 45 cm³d = 1.78 g/cm³ (rounded)hi amazing people please help i’ll give brainliest thanks!
Answer:
I dont think so: False
Step-by-step explanation:
If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.
A animal shelter had 13 dogs and 15 cats. 4 dogs were adopted, and 1 cat died. then 6 more cats were rescued and 1 dog was adopted. then 3 more dogs were adopted, and 6 cats were added.
How many pets are there in all?
(whoever guess correctly gets brainliest)
What is the circumference if the radius is 7 inches? Use 3.14 for pi and do not round your answer.
Answer:
43.96
Step-by-step explanation:
c=2×πr
2×3.14×7
43.96
which expressions is equivalent to 4(2x+3y)
Answer: 8x+12y
Step-by-step explanation:
Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:
The distributive property dictates that a(b+c) = ab+ac.
Thus,
4(2x+3y)
8x+12y
Hope it helps :)
Answer:
8x+12y
Step-by-step explanation:
Multiply both numbers times the number is outside the parenthesis
the length of AB rounded to the nearest tenth is ___ units
Answer:
7.6
Step-by-step explanation:
√( 4 - -3) ^2 + ( -1 - 2) ^2
√(49 + 9)
√58
= 7.6
What is the midpoint of the segment shown below no links please
Answer:
D. (2,5)
Step-by-step explanation:
Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.
Add the following rational numbers: 5/8 and 3/-10
Answer:
= 13/40
Step-by-step explanation:
(5/8) + (3/-10)
5/8 = 50/80
3/-10 = -24/80
then:
(5/8) + (3/-10) = 50/80 - 24/80
= 26/80 = 13/40
Answer:
13/40
Step-by-step explanation:
Lina used 75 square inches of fabric to make a triangular pennant to take to football game.The base of the pennant was 6 inches. What was the height of the pennant?
Answer:
25 inches
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
75 = (1/2) x 6 x height
height = (75 x 2) / 6 = 25 inches
If the sales tax rate is 7 1/4 percent and Jessica paid $1.45 in sales tax for a
sweater, what was the price of the sweater?
Answer:
$20
Step-by-step explanation:
Find the price of the sweater by dividing 1.45 by 0.0725
1.45/0.0725
= 20
So, the sweater was $20
Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB
What are the endpoints of segment AB?
select both endpoints
(-2,8)
(-1,4)
(0,0)
(1,4)
(2,0)
(4,0)
[please help, i would appreciate it alot]
Answer:
Step-by-step explanation:
(-1,4) (1,4) 2,0
The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.
The endpoint of the line segment is given as,
A = 0.5(-2, 8)
A = (-1, 4)
B = 0.5(4, 0)
B = (2, 0)
The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
Find the length of the third side. If necessary, round to the nearest tenth.
13
20
help please !
Answer: D, 15.2
Step-by-step explanation:
use formula a^2 + b^2 = c^2
a^2 + 13^2 = 20^2
a^2 + 169 = 400
- 169 -169
a^2 = 231
sqrt sqrt
a = sqrt(231)
a = 15.198 = 15.2
(I’ll give brainliest)Find the area of the circle below leave your answer in terms of Pi
Answer:
I think it's 20 i'm not so sure if you get it wrong than i'm sorry
PLSZSZ HELPPPP
The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?
Answer: -16
Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:
-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.
Which of the following shapes is
considered to be a 2 dimensional
figure?
A. A cylinder
B. A cube
C. A pyramid
D. A circle
Answer:
D, Circle
Step-by-step explanation:
All the other shapes are 3D and have a volume.
Help ASAP!! Geometry -
Find the volume of the solid. (FSSS!) Round answers to the nearest hundredth.
Answer:
x = 9.27 cm
Volume = 289.2 cm³
Step-by-step explanation:
SA = Surface Area
SA = 229.2 cm²
P = Perimeter of Base
P = 3(6)
P = 18 cm
H = Height of Solid
H = x
A = Area of Base(Equilateral Triangle)
A = 6²√3 / 4
A = 36√3 / 4
A = 9√3
A = 9(1.732)
A = 31.176
A = 31.2 cm²
SA = Surface Area
SA = PH + 2A
229.2 = 18x + 2(31.2)
229.2 = 18x + 62.4
229.2 - 62.4 = 18x
166.8 = 18x
9.266 = x
9.27 = x
x = 9.27 cm
V = Volume
V = AH
V = 31.2(9.27)
V = 289.224
V = 289.2 cm³
The mean of 5 numbers is ten I add one now the mean is 11 which number did I add?
Answer:
you added 6
Step-by-step explanation:
how the number order goes.
Find the length of the missing side
If the spinner shown is spun 40 times, predict the number of times the spinner would land on Section B.
Answer:
10 times
Step-by-step explanation:
Given that:
Number of sections = (A, B, C, D) = 4
Probability of spinner landing on section B on a single spin = required outcome / Total possible outcomes
P(landing on B) = 1 /4
Predicted Number of times spinner will land on D ; if spinner is spurned 40 times
1/4 * 40 = 10 times