Answer:
The ratio of the area of the rectangle to the area of the square is 0.75.
Step-by-step explanation:
The areas of the square and the rectangle are represented by following formulas:
[tex]A_{sq} = l^{2}[/tex] (1)
[tex]A_{re} = (1.5\cdot l)\cdot (0.5\cdot l)[/tex] (2)
Where [tex]l[/tex] is the side length of the square.
The ratio of the area of the rectangle to the area of the square is:
[tex]\frac{A_{re}}{A_{sq}} = \frac{(1.5\cdot l)\cdot (0.5\cdot l)}{l^{2}}[/tex]
[tex]\frac{A_{re}}{A_{sq}} = 0.75[/tex]
The ratio of the area of the rectangle to the area of the square is 0.75.
what is the common difference 5,3,1,-1
Answer:
t2-t1= 3-5 = -2
answer= -2
Geometry boy yo please help
Answer:
x=12
Step-by-step explanation:
ab=dc so 15=x+3 you subtract 3 from both sides... x=12
True or False: (2,3) is a solution for both of the following equations:
y=2x+1 and y-3x=4
a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
21x+9 =
Help please
Answer:
3
Step-by-step explanation:
cross multiply
The plane continued to descend, but leveled off to an angle of descent of 3° degrees for approximately 2 miles. How many feet did they drop in altitude (d)? Round to the nearest 10th.
Work out this please in standard form
really need help on these two questions for geometry, please actually answer it instead of just grabbing points and leaving :'), like most clowns on here
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.
∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°
BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.
∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°
help please!! :-(
x = -5
-x + 8
Answer:
13
Step-by-step explanation:
-(-5) + 8
5 + 8
13
1. Use a ratio box to solve this problem. Tammy saved nickels and
pennies in a jar. The ratio of nickels to pennies was 2 to 5. If there were
70 nickels in the jar, how many coins were there in all?
Answer:
245
Step-by-step explanation:
let 'c' = total coins
2/7 = 70/c
2c = 490
c = 245
WILL GIVE BRAINLIEST!!! PLS HELP!!!
Answer:
sorry guys real sorry i dont know it zoom it more
Step-by-step explanation:
Plzzz help!! Solve for the value of x.
1/2x = 21
Answer:
x=42
Step-by-step explanation:
2*(
1
2
x)=(2)*(21)
Please help I’ll name brainliest
Answer:
mark R as a 6
Step-by-step explanation:
10 x 10 +100 – 1000 = X
Answer:-800
Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x
Answer:
-800
Step-by-step explanation:
since you need to mutiply first,
10 x 10 + 100 - 1000 = X
100 + 100 - 1000 = X
200 - 1000 = X
-800 = X
hope it helps!!!
8= -9 + u
solve for u
Answer:
The answer is 17
Step-by-step explanation:
First, add 9 to 8
17 = u
Answer:
u=17
Step-by-step explanation:
8=-9+u
-u=-9-8
-u=-17
u=-17
A pack of gum is in the shape of a rectangular prism with a length of 5 centimeters and width of 2 centimeters. The volume of the gum is 60 cubic centimeters. What is the height of the pack of gum? The height of the pack of gum is cm.
For what value of x is the rational expression below equal to zero?
X-4
(x+5)(x-1)
A. 4
B. -5
O
O
C. 1
O D.-4
Answer:
[tex]\boxed{\textsf{ The value of x is \textbf{4}.}}[/tex]
Step-by-step explanation:
For complete solution kindly refer to the attachment .
what's an equivalent equation for -5(3-2x)
Answer:
-15 + 10x
or
10x - 15
(either one works)
Step-by-step explanation:
You mean you just want me to expand it?
Ok.
Multiply -5 by 3 and -2x.
(-5)(3) = -15
(-5)(-2x) = +10x
Add those together:
-15 + 10x
or
10x - 15
Which of the following are equal to 25 miles per gallon? Check all that apply
Write the ratio of the first measurement to the second
measurement. Compare in inches.
5 feet to 49 inches
Answer:
60:49
Step-by-step explanation:
1ft = 12in
5 x 12 = 60
60:49
They share no common factors so this is your final answer.
Point c’(-4,-3) is the same image of C(-2,-3) under a translation
Need translation and if it goes up down left or right
Answer:
the translation is to the left 2 times
Step-by-step explanation:
-2-2=-4
there is no changes to the y value
Plz, Help me with this question!
Plz, Help me with this question!
Answer:
Ben franklin
Step-by-step explanation:
Answer:
Ben Franklin
Step-by-step explanation:
On Monday, snow fell at a rate of 2.8 inches per hour.
Write an equation to show the relationship between the number of hours, h, and Monday's total snowfall, s.
Answer:
s = 2.8h
Step-by-step explanation:
Answer:
s = 2.8h
Step-by-step explanation:
2.8 inches of snow : 1 hour
Total snowfall = 2.8 × number of hours
2.8 × h = s
2.8h = s
hii! hopefully you can answer this :)
Answer:
1.C
2.A
Step-by-step explanation:
Answer:
1.C
2.A
Step-by-step explanation:
Based on the graph shown, which features are correctly stated?
A)
Vertex: (1,-4)
B
Axis of symmetry: -4
09
y-intercept:(-3,0)
D)
x-intercepts: (-1,0) and (3, 0)
E)
Function: f(x) = x2 - 2x - 3
Answer:
D
Step-by-step explanation:
Answer: A
D
E
Step-by-step explanation:just got it right
Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?
Answer:
2 hours
Suzy would earn $40
Bill will earn $40
they will both earn $80
Step-by-step explanation:
The total amount suzy earns is a function of the total hours worked. Let t represent time
total income of suzy = $20t eqn 1
Bill's income = starting bonus + variable pay
= $20 + $10t
We are looking for when they would earn the same amount :
20t = $20 + $10t eqn 2
collect like terms and solve for t
10t = $20
t = 2 hours
Substitute for t in either eqn 1 or 2
20(2) = $40
Suzy would earn $40
Bill will earn $40
they will both earn $80
A large square is divided into 4 smaller squares; then small left square is
divided into 4 smaller squares as well. What fraction of the large square is
shaded?
OPTIONS
4 over 5
3 over 8
4 over 9
1 over 3
1 over 2
Answer:
The total fraction shaded is 1/2
Step-by-step explanation:
Here, we want to know the fraction shaded
As we can see, the box is originally divided into 4
So each of the 4 parts are 1/4
for the first part, we have 4 divisions;
This means each of the divisions with respect to the whole fraction will be 1/4/4 = 1/16
Now, two of these are shaded, making 1/16 and 1/16
Secondly, we have half of the 1/4 : So with respect to the whole, we have 1/4/2 = 1/8
for the third part, the whole 1/4 is shaded
and lastly, we have an unshaded 1/4
so, the total fraction shaded will be ;
1/16 + 1/16 + 1/4 + 1/8
= (1 + 1 + 4 + 2)/16 = 8/16 = 1/2
When Tyson opens and lays a cereal box out flat, he sees that the top and bottom of the box each measure 3 inches by 9 inches, the sides of the box each measure 3 inches by 13 inches, and the front and back of the box each measure 9 inches by 13 inches.
Please Answer with the work please.
Answer:
i
Step-by-step explanation:
Somebody please help me
Answer:
s²+r²=t² => r²=s²-t²= 27²-25²
The answer is D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
'r' and 's' are legs and 't' is the hypotenuse
The Pythagorean Theorem takes the sum of the legs, squared, and sets them equal to the hypotenuse squared.
So in this problem we could start with:
r² + 25² = 27²
r² = 27² - 25²
to get 'r' by itself we take its square root, and what we do to one side of an equation we must also do to the other side, so:
r = [tex]\sqrt{27^2 - 25^2 }[/tex]
Subtract. Write your answer as a fraction in simplest form. 3/8−(−1/8)=
Answer:
1/2
Step-by-step explanation:
3/8 + 1/8=
4/8=
1/2