Answer:
The height and base of the rectangle are approximately 5.453 inches and 10.453 inches, respectively.
Step-by-step explanation:
From Geometry we remember that area of a rectangle ([tex]A[/tex]), measured in square inches, is equal to:
[tex]A = w \cdot h[/tex] (Eq. 1)
Where:
[tex]w[/tex] - Width, measured in inches.
[tex]h[/tex] - Height, measured in inches.
In addition, we get the following relationship from statement:
[tex]w = h+5\,in[/tex] (Eq. 2)
If we know that [tex]A = 57\,in^{2}[/tex], then the height of the rectangle is:
[tex]57\,in^{2} = (h+5\,in)\cdot h[/tex]
[tex]h^{2}+5\cdot h -57 = 0[/tex]
From Quadratic Formula we obtain the following roots:
[tex]h_{1} \approx 5.453\,in[/tex] and [tex]h_{2}\approx -10.453\,in[/tex]
Only the first root offers a reasonable solution, as length has always positive values. Thus, the height of the rectangle is approximately 5.453 inches.
Now we calculate the width of the rectangle from (Eq. 1):
[tex]w = \frac{A}{h}[/tex]
If we know that [tex]A = 57\,in^{2}[/tex] and [tex]h \approx 5.453 \,in[/tex], then the width of the rectangle is:
[tex]w = \frac{57\,in^{2}}{5.453\,in}[/tex]
[tex]w \approx 10.453\,in[/tex]
The height and base of the rectangle are approximately 5.453 inches and 10.453 inches, respectively.
Please also show your work
Answer:
the first line is the answer
Answer:
Step-by-step explanation:
-2(2x+3)≤26
-4x-6≤26
-4x≤32
the tricky part.. b/c the negative sign moves across the inequality sign, ≤ , it is flipped to ≥. But only when multiplying or dividing.. not for subtraction ..it's confusing , yes.
x≥-8
so X is equal to or greater than 8 , :) does that help?
How many hot dogs were sold at the fifth football game
Answer:
You did not attach the picture
Step-by-step explanation:
A rocket's path is modeled by y=-16t2 + 80t.
When will the rocket hit the ground?
Answer:
t=5
Step-by-step explanation:
y represents height above the ground.
so when it touches the ground height above the ground =0
y=-16t²+80 t
it will hit the ground when y=0
-16t²+80t=0
-16t(t-5)=0
either t=0 or t-5=0
or t=5
t=0 gives initial value.(rejected)
t=5
What is 3 1/2 x 50 1/4
Answer:
175.875
Step-by-step explanation:
Answer:
175 7/8
Step-by-step explanation:
3 1/2=7/2
50 1/4=201/4
7/2 x 201/4
LCM of 2,4=4
7/2x2/2 x 201/4x1/1
14/4 x 201/4
=1407/8
=175 7/8
please mark as brainliest!!
hope this helps
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Answer:
The exact answer is 8.032
Step-by-step explanation:
Given:
0.64 and 12.55
Number sentence:
0.64 × 12.55 = N
Solution and final answer:
0.64 × 12.55 = 8.0320 then cancel 0 in ten thousandths place
In the multiplication of integers - To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Which of the following numbers is rational but not an integer?
Answer Choices: −4.3, 3, 0, -9
Answer:
-4.3
Step-by-step explanation:
They are all rational. An integer is a number without decimals and -4.3 is the only one with decimals making it the only one that is rational but not an integer
An internet service provider is implementing a new program based on the number of connected devices in each household currently customers are charged a flat rate of 175 per month the new plan would charge a flat rate of 94 per plus an additional 450 per device connected to the network
Answer:
Following are the solution to this question:
Step-by-step explanation:
The new rate is just [tex]\$ \ 175[/tex] per month, let's call it rate A:
[tex]\to A = 175[/tex]
The new price is [tex]\$ \ 94[/tex] plus[tex]\$ \ 4.50[/tex] per device and let us name it rate B:
[tex]\to B = 93 + 2.40 \ x[/tex]
Here x is the number of service devices, In order to find x, the formula of inequalities is less than the current plan:
[tex]\to 94 + 4.50\ x < 175[/tex]
Solve the value for x:
[tex]\to 4.50\ x < 81 \\\\ \to x < 18[/tex]
There are also less than 18 units.
the figure is cut into 8 equal pieces shade 1/4
Answer:
Shade 2 of the pieces
Step-by-step explanation:
if the dot on the timeline is open what is the symbol going to be?
Answer:
< or >
Step-by-step explanation:
Answer
If it's open, its just greater than or less than. If it's closed, its greater than or equal to / less than or equal to.
SIMPLE QUESTIONS WILL GIVE BRAINLIEST
Answer:
1. 6)
2.)12
3.) 15
Step-by-step explanation:
Answer:
1. 6
2. 12
3. 15
Step-by-step explanation:
1. -3 + 9 = 6
2. 12 - 7 = 5
3. 11 + 4 = 15
The hypotenuse of a right triangle is 65 m long. If one of the legs is 39 m long, how long is the other leg?
Answer:
52 m
Step-by-step explanation:
(a^2) + (b^2) = (c^2)
(39^2) + (b^2) = (65^2)
(39^2) + (b^2) = (65^2)
1521 + (b^2) = 4225
(b^2) = 2704
b = 52
Answer:
use Pythagoras theorem to solve this
[tex]C^{2}[/tex]= [tex]A^{2}[/tex]+[tex]B^{2}[/tex]
C is always the hypotenuse of a triangle
Step-by-step explanation:
[tex]65^{2}[/tex] = [tex]39^{2}[/tex] +[tex]B^{2}[/tex]
my calculator tells me that..
4225 =1521 +[tex]B^{2}[/tex]
2704 = [tex]B^{2}[/tex]
[tex]\sqrt{2704}[/tex] = B
52=B
nice .. it worked out to a nice whole number
What is the GCF of 15m^2n, 25m^3n?
Evaluate 6 + (r + 5)2 if r=13 ; S =2
Answer:
42
Step-by-step explanation:
6 + 2r + 10
Input r=13 into the equation
6 + 2(13) + 10
6 + 26 + 10
32 + 10
42
Hope this helps!
Have a nice day!
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Answer:
42
Step-by-step explanation:
6+(r+5)2; r=13, S=2
Lets plug in what we know
6+(13+5)2 (Solve what is in the parentheses)
6+(18)2 (The 2 behind the parentheses is the same as a 2 in front of the parentheses. You will still multiply by 2)
6+36
42
which scatterplot does NOT suggest a linear relationship between x and y?
A) II only
B) III only
C) I and II only
D) II and III only
Answer:
B
Step-by-step explanation:
Ashley has 5 bags of flour. She has two smaller bags with .75 ounces in each and 3 bigger bags which has 1.14 ounces in each. How much flour does she have in total?
Answer:
4.92 ounces
Step-by-step explanation:
Ashley has 5 bags of flour
She has two smaller bags with .75 ounces in each
= 2 × 0.75 ounces
= 1.5 ounces
3 bigger bags which has 1.14 ounces in each.
= 3 × 1.14 ounces
= 3.42 ounces
How much flour does she have in total?
This is calculated as
1.5 ounces + 3.42 ounces
= 4.92 ounces
Therefore she has 4.92 ounces of flour in total.
Find the distance between (-1,2) and (4,0)
Answer: The distance between (-1,2) and (4,0) is about 5.4 units
Step-by-step explanation: You can use the Pythagorean Theorem to calculate the distance.
The difference in x-values is one side of the triangle 4- (-1) = 5 Side a
The difference in y-values is the other side 0- 2 = -2 Side b
The distance you are looking for is the hypotenuse, side c
Pythagorean Theorem : substitute the numbers we found for a and b
c² = a² + b²
c² = 5² + -2²
c² = 25 + 4
c² = 29
29 is the "square on the hypotenuse." So take the square root (use a calculator)
√29 = 5.385
You can round that to 5.4 units
Which of the following statements are true? Select all that apply.
Answer:
A, D
Step-by-step explanation:
A: I goes down 2 and right 5
B: It does not go down 3 and right 2
C: It does not go up 2 and right 5
D: It goes down 5 and right 2
what property is this?
2(xy) = (2x)(y)
a.
Commutative Property of Multiplication
b.
Associative Property of Multiplication
c.
Multiplicative Property of Zero
d.
Multiplicative Identity
Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-2,1); m=4
Answer:
y-1=4(x+2)
Step-by-step explanation:
plug the point in
An equation in the point-slope form of the line that passes through the given point and with the given slope m is y-1=4(x+2).
We have given that,
slope m=4 and the point (-2,1)
What is the slope point form of the line?
The slope point form of the line is
[tex](y-y_1)=m(x-x_1)[/tex]
use the given values in the above slope point form so we get,
y-1=4(x+2)
Therefore an equation in the point-slope form of the line that passes through the given point and with the given slope m is y-1=4(x+2).
To learn more about the slope point form visit:
https://brainly.com/question/4010502
#SPJ2
When solving the following inequality you would reverse the inequality symbol. 3x < −6
true or false
What scale factor would you use on the 14 by 21 rectangle to return it to its original 2 by 3 inch size
Answer:
Multiply by 1/7
Step-by-step explanation:
14*1/7=2
21*1/7=3
Both the Math Club and the Spanish Club have a pizza party at the end of the year. The Math Club has 16 members and the sponsor gives each member one over four of a pizza at the party. The Spanish Club has 18 members and their sponsor gives each member one over three of a pizza at their party. Which statement best represents which club buys more pizzas?
The Spanish Club buys 10 more pizzas than the Math Club. a
The Math Club buys 10 more pizzas than the Spanish Club. b
The Spanish Club buys 2 more pizzas than the Math Club. c
The Math Club buys 2 more pizzas than the Spanish Club. d
Answer:
I think its C please correct me if im wrong
Step-by-step explanation:
QRS = TUV. Name the angle or side that corresponds to the given part
Answer:
72
Step-by-step explanation:
Ansnswer
∠T
Step-by-step explanation:
What are the solutions to x2 - 3x = 5?
Answer:
2 real solutions.
Step-by-step explanation:
[tex]x^{2}[/tex] - 3x = 5
[tex]x^{2}[/tex] - 3x -5 = 0
D =[tex](-3)^{2}[/tex] - 4 x 1 x (-5)
D = 29 Quadratic has 2 real solutions.
Rectangle RSFT has vertices R(3,10), S(5,10), F(5,6) and T(3,6). RSFT was reflected over the line
y = x, to form R'S'F'T'. What are the coordinates of the vertices of the image?
Answer:
The coordinates of the vertices of the image are R' (10, 3), S' (10, 5), F' (6, 5), T' (6, 3)
Step-by-step explanation:
If the point (x, y) reflected across the line y = x, then its image is (y, x)If the point (x, y) reflected across the line y = -x, then its image is (-y, -x)Let us use the first rule above to solve the question.
∵ Rectangle RSFT has vertices R (3, 10), S (5, 10), F (5, 6), and T(3, 6)
∵ RSFT was reflected over the line, y = x
→ To find its image switch the coordinates of all the vertices
∵ R = (3, 10)
∴ R' = (10, 3)
∵ S = (5, 10)
∴ S' = (10, 5)
∵ F = (5, 6)
∴ F' = (6, 5)
∵ T = (3, 6)
∴ T' = (6, 3)
The coordinates of the vertices of the image are R' (10, 3), S' (10, 5), F' (6, 5), T' (6, 3)
evaluate -a + (-b) where a= 6.05 and b= 3.611
Answer:
-6.05+(-3.611)=-9.661
Step-by-step explanation:
Kevin moved from a city to a small town. The population of the city is 8*10^4 is about 20 times as great as the small town. What is the approximate population of the small town?
Given:
Population of city = [tex]8\times 10^4[/tex]
It is about 20 times as great as the small town.
To find:
The approximate population of the small town.
Solution:
Population of city is about 20 times as great as the small town. It means,
[tex]\text{Population of city}=20\times \text{Population of small town}[/tex]
[tex]\dfrac{\text{Population of city}}{20}=\text{Population of small town}[/tex]
On substituting Population of city = [tex]8\times 10^4[/tex], we get
[tex]\text{Population of small town}=\dfrac{8\times 10^4}{20}[/tex]
[tex]\text{Population of small town}=\dfrac{8\times 10\times 10^3}{20}[/tex]
[tex]\text{Population of small town}=4\times 10^3[/tex]
Therefore, the population of the small town is [tex]4\times 10^3[/tex].
Question 4 (1 point)
Michael is 6 years older than his brother. The sum of their
ages is 32. What is Michael's age?
Answer:
Michael is 18 and his brother is 12 to make 30
Step-by-step explanation:
trust me, try it if i doesn't work don't put a star or heart.
7/10 divide by 2 = ?
Answer:
its 7/20
jfkefek
Answer:
The answer is 0.35
Step-by-step explanation:
Because 7/10 is 0.70, divide it by 2 and get 0.35 which is half of 0.7
pls help there’s like 28 task cards that were due last week
Answer:
yes it can, rise is 85, run is 51 (both divisible by 17) so simplified to 5/3.