Answer:
The perimeter is 31 inches
Step-by-step explanation:
The perimeter is the sum of all the sides.
The formula for the area of the rectangle is : [tex]length*width[/tex]
To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.
Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.
The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.
1) Divide 42 by 12.
[tex]42/12=3.5[/tex]
2) Multiply 12 by 2.
[tex]12*2=24[/tex]
3) Multiply 3.5 by 2.
[tex]3.5*2=7[/tex]
4) Add 7 and 24.
[tex]24+7=31[/tex]
triangle xyz is similar to triangle abc solve for k
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2
There are 52 cards in the deck.
Picking a spade would be 13/52 which reduces to 1/4
After the first card is picked there are 51 cards left, picking a club would be 13/51
Picking both would be 1/4 x 13/51 = 13/204
The answer is C.
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answer:
A.Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.
The exponential function that models this problem must be like
[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.
Let's use the points (10, 7500)
[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]
Solving for [tex]r[/tex], we have
[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]
Using logarithms, we have
[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]
Replacing all values in the model, we have
[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]
Therefore, the right answer is the first choice, that's the best approximation to this situation.
Answer:
A. y = 9,958(0.972)x
Step-by-step explanation:
brainly which is the distance between (-3,4) and (7,13)
Answer:
Root 181
Step-by-step explanation:
Using distance formula, we know that the answer will be the square root of 181. Unfortunately, this is not a perfect square, and it is prime, so that number will remain the same.
Distance Formula: [tex]\sqrt{(13-4)^{2} + (7+3})^2} = \sqrt{181}[/tex]
Hope this helped!
A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?
A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
the first one
Step-by-step explanation:
Someone help me pleaseeee
Answer:
you have to add all the angles including 'x' which is equals to 180°.
The process is
99+49+x=180
148+x=180
x=180-148
x=32.
Find the coordinates of point Bon AC such that AB is 1/3 of AC.
Answer:
(3,3)
Step-by-step explanation:
8--7=15
15/3 = 5
8-5=3
ordered pair at x=3 is (3,3)
A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Answer: 0.182
Step-by-step explanation:
For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:
p1 = 5/(6 + 5) = 5/11
In the second selection we have the same equation, but now we have 4 milk chocolate bars (because one is alredy taken)
p2 = 4/(4 + 6) = 4/10
the joint probability is:
P = p1*p2 = (5/11)*(4/10) = 0.182
xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes
Please need this by the 16th
Answer:
60
Step-by-step explanation:
12 can be broken into 3*4
15 = 5*3
The least factors are
3*4*5 = 60
The lowest common denominator is 60
Answer:
7/12= 35/60
7/15= 28/60
What are the answers on the sheet to the math paper "What did the teenage yardstick say to its parents? "
Answer:
I want to stand on my own three feet
Step-by-step explanation:
What is the area of triangle ABC?
O 2.5 square units
O 3 square units
O 3.5 square units
O4 square units
Answer:
3 square units
Step-by-step explanation:
Edge 2021
The area of triangle ABC will be 3 square units. Therefore, option B is the correct answer.
Triangle ABC in the figure below, where b= 3 units and h= 4 units.
The area of the triangle ABC= The area of the right triangle ABD - The area of the right triangle ACD
We know that, area of a triangle = 1/2 ×Base×Height
The area of the right triangle ABD
= 1/2 ×3×4
= 6 square units
The area of the right angled triangle ACD
= 1/2 ×3×2
= 3 square units
Now, difference = 6-3 = 3 square units
Therefore, option B is the correct answer.
Learn more about area of triangle here:
brainly.com/question/4075559.
#SPJ7
A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.
Answer:
4.283
Step-by-step explanation:
Divide 12.85 by 3 using a calculator
find -2-(-.7)
help me plz :(
Answer: 5
Step-by-step explanation:
two negatives equal a positive, so if you are subtracting with two negatives it just like 7-2 if that makes sense :)
Answer:
5
Step-by-step explanation:
you have to multiply the 2 negative signs in between of 2 and 7 and then you will get a positive sign
since the 2 signs are different you will need to subtract.
so 7-2 equals 5 and you put the bigger number's sign which is positive
Simplify the slope of AC.
Answer:
1
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run, or how much the line rises over a certain amount of sideways movement. In this case, the line AC moves from (0,0) to (a,a), meaning that it rises and moves sideways the same amount. Since a/a=1, the slope of this line is 1. Hope this helps!
Answer:
1
Step-by-step explanation:
Point A is (0, 0) and Point C is (a, a).
The "rise" from A to C is a and the "run from A to C" is also 1.
Thus, the slope of line A is m = rise / run = 1 / 1 = 1.
Simplify the expression:
6V + 10 - V
Answer:
5V + 10
Step-by-step explanation:
Add the like terms.
-5v - 4
If you add the like terms this is what you get
graph the circle x^2+y^2+2x+4y-44=0
plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:
1. Complete the square for the x-terms:
Rearrange the equation to group the x-terms together:
x^2 + 2x + y^2 + 4y = 44
To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:
x^2 + 2x + 1 + y^2 + 4y = 44 + 1
Simplify:
(x + 1)^2 + y^2 + 4y = 45
2. Complete the square for the y-terms:
To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:
(x + 1)^2 + y^2 + 4y + 4 = 45 + 4
Simplify:
(x + 1)^2 + (y + 2)^2 = 49
3. Identify the center and radius:
The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2
Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.
4. Plot the graph:
The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.
By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
For more questions on circle .
https://brainly.com/question/28162977
#SPJ8
Note the full question may be:
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.
Can someone help me on this
Answer:
1. C) quadratic
2. b) exponential
Step-by-step explanation:
(x-3)(x+5) the product
Answer:
x^2 +2x -15
Step-by-step explanation:
FOIL
(x-3)(x+5)
first x*x = x^2
outer 5x
inner -3x
last -3*5 = -15
Add them together
x^2 +5x-3x-15
Combine like terms
x^2 +2x -15
Please Help! ASAP! WIll give Brainliest
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
x/2 = 12.5/5
5 · x = 12.5 · 2
5x = 25
5x / 5 = 25 / 5
x = 5
Step-by-step explanation:
Domain represents which of the following?
A. slope
B. x values
C. y values
D. maximum
Answer:
b
Step-by-step explanation:
Julie has four times as many pairs of shoes as her brother. Together they have 15 pairs of shoes. How many pairs of shoes do they each have?
Answer:
60 pairs of shoes
Step-by-step explanation:
To find the answer, multiply 4x15. The words four times as many mean to do the operation of multiplication. 4x15= 60 So finally, each have 60 pairs of shoes.
i hope this helped:)
Answer:
7.5
Step-by-step:
Julie: ?
Her brother: ?
Total number: 15
So: 15 divided to julie and her brother-
There for 15 divide by 2 is 7.5
7.5+7.5=15
Which equation is NOT an example of a linear function?
A) y = 9 - 2x
B) y = 6/X
C) y = x/2 + 9
D) y = 5/6x - 8
Answer:
B
Step-by-step explanation:
y = 6/x is not an example of a linear function
Option B is correct
A linear function can be written in the form ax + by = c
Let us consider the options given and see which of them cannot be expressed in the form ax + by + c
For y = 9 - 2x
This can also be expressed as
-2x + y = 9
For y = x/2 + 9
This can also be expressed as:
x - 2y = - 18
For y = 5/6 x - 8
This can also be expressed as:
-5x + 6y = -48
Only y = 6/x cannot be expressed in the form ax + by = c. Therefore, y = 6/x is not an example of a linear function
Learn more here: https://brainly.com/question/16459885
Please help me now plz I will mark you brainliest
Answer:
On the circle
Step-by-step explanation:
Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:
[tex]\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex], meaning that it is on the circle. Hope this helps!
Unit 5. 9) Please help. A soda can holds approximately 25.5 cubic inches of soda and is 4.8 inches tall. What is the approximate area of its base?
Answer:
5.3125 in^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = Bh
Where B is the area of the base
25.5 = 4.8 B
Divide each side by 4.8
25.5/4.8 = B
5.3125 = B
Miguelito vende camisas de vestir . En el local le cobran $150 de alquiler; comprq cada camisa en $3.00 y la vende en $5.00. Cuanto es el numero minimo de camisas que debe vender para tener ganancias.
Answer:
[tex]x_{min} = 75\,camisas[/tex]
Step-by-step explanation:
El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):
[tex]x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}[/tex]
[tex]x_{min} = 75\,camisas[/tex]
Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)
A football team tries to move the ball forward as many yards as possible on each play, but sometimes they end up behind where they started. The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25. A positive number indicates moving the ball forward, and a negative number indicates moving the ball backward. 1). Which number in the list is the greatest? 2). What is a better question to ask to find out which play went the farthest from where the team started? 3). The coach considers any play that moves the team more than 4 yards from where they started a "big play." Which play(s) are big plays?
Answer:
Given:
The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.
Solved:
1. The greatest number is 25
2. If the moved distances are square, which one is largest?
3. The move which is greater than 4 is considered "big play"
=> 21 and 25 are big play (21 > 4, 25 > 4)
Hope this helps!
:)
how do you write a ratio?
Answer:
number : number
Step-by-step explanation:
for example, 1:3
this means 1 to 3
so for every 1 banana there are 3 apples
13 lb7 oz
+ 10 lb2 oz
Answer:
23Ib9 oz
Step-by-step explanation:
13+10=23
7+2+9
HELP PLEASE
write down a formula for the nth term of these patterns. The first term is n = 1.
14 ,23 ,32 ,41, 50 = nth term = ?????????
-4, -11, -18, -25, -32 = nth term = ???????????
Answer:
1st one= n9+5
2nd one=n×-7+3
