find the area of the large and small rectangles :,))
Answer:
the area of the large rectangle is 120m squared in the area of the smaller triangle is 14m squared
Answer:
Area of large rectangle = 120m²
Area of small rectangle = 14m²
Step-by-step explanation:
Large rectangle:
Length = 12m
Breadth = 10m
Area of rectangle = l × b
Area = 12 × 10
Area = 120m²
Small rectangle:
Length = 7m
Breadth = 2m
Area of rectangle = l × b
Area = 7 × 2
Area = 14m²
The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical
velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the
height of the object. Then find the height of the object after 1 second.
Complete question is;
The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical
velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.
Answer:
A) Polynomial is h(t) = -16t² + 25t+ 4
B) h(1) = 13 ft
Step-by-step explanation:
A) We are given;
h = -16t² + v_o(t) + s_o
Where;
v_o = the initial vertical velocity
s_o = the initial height of the object
t = the time
We are given;
v_o = 25 ft/s
s_o = 4 ft
Thus, polynomial that represents the height is;
h(t) = -16t² + 25t+ 4
B) after a time of 1 second, height is;
h(1) = -16(1²) + 25(1) + 4
h(1) = -16 + 25 + 4
h(1) = 13 ft
What’s another word for average
Answer:
Normal/standard
Step-by-step explanation:
Answer:
Ordinary
Step-by-step explanation:
1. Dylan invested $47,000 in an account paying an interest rate of 4% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $79,200?
2. x^2 + y^2 = 153 and y = -4x. If (x, y) is a solution to the system of equations above, what is the value of y^3?
Answer:
(1) 13.0 years
(2) [tex]y^{3} =[/tex] {-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
[tex]Pe^{rt}[/tex] = A
(47000)[tex]e^{(0.04)(t)}[/tex] = 79200
[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]
ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])
ln and e cancel out.
(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])
t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]
t = 13.0 years
(2)
[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]
Substitute y with -4x.
[tex]x^{2} + (-4x)^{2} = 153[/tex]
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728
[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728
Answer:
13.3
Step-by-step explanation:
I got it right
Melissa can ride 20 miles on her bike in 8 hours how many miles can she ride an a hour
Answer:
2.75 miles in 1 hour
Step-by-step explanation:
HELP NEED ANSWER ASAP!
Answer:
I am pretty sure the anwser is 7
Answer:
The median is 7.
Step-by-step explanation:
The median is 7 because, in a box plot, the line inside of the box is the median. That line is over 7 on the number line.
Ashley is buying items for her dog Lance. She buys a dog collar for $6.50 and wants to buy dog food at $4 a pound. If she wants to spend exactly $22.50, how many pounds of dog food can she afford? Which equation model this situation? *
1 point
4lbs : 6.50x + 22.50 = 4
5lbs : 4x + 6.50 = 22.50
4lbs : 4x + 6.50 = 22.50
4lbs : 4 + 6.50x = 22.50
Answer:
4 lbs : 4x + 6.50 = 22.50
Subtract 6.50 from 22.50 and divide the remaining number by 4.
a farmers market sells apples for $2.30 per pound. what would be the cost of 3 2/5 pounds of apples
Answer:
7.20
Step-by-step explanation:
Answer:
7.20 or 6.90
Step-by-step explanation: most likely 7.20 because 3 pounds of apples is 6.90 so adding a half to that would be 7.20
21/35 es equivalente a
Please help me with this question if you can
Answer:
c
Step-by-step explanation:
supplementary means together that equal 180°, implying that 4 and 1 are equal, five and three are equal, which makes line k in line j parallel to each other.
What’s another word for average
Answer:
Mean,median, mode, rule, par, normal etc.
Step-by-step explanation:
Help me please :(.....
Answer:
1, 1, 3, 3
Step-by-step explanation:
For an even function, f(-x) = f(x).
So, f(-1) = f(1) = 1.
Similarly, the other three blanks are 1, 3, and 3, respectively.
Theresa buys 62 stickers. She gives 6 stickers to her little sister. Theresa then splits the remaining stickers evenly across 8 pages of her album. How many stickers does Theresa put on each page?
Answer:
7 stickers on each page.
Step-by-step explanation:
We start with 62 stickers.
Then we give 6 to the little sister, so we subtract 6 from 62.
62-6=56
Then we divide the remaining 56 stickers evenly across 8 pages.
56/8=7
7 stickers on each page.
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
Learn more about percentage here :
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Please help!!!
The purple shape is a dilation of the black shape. What is the scale factor or the dial action?
Answer:
I belive it would be 1/5. ;;;
The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)
What is 1/6 as a percent.
Answer:
16.66 %
Step-by-step explanation:
1 / 6 as a percent
= ( 1 / 6 ) x 100
= 100 / 6
= 16.66 %
help me quick please! i need it. hope you have a good night!
Answer:
cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]
sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]
Step-by-step explanation:
First find the opposite side of angle θ by using the Pythagorean Theorem:
10² - 7² = (opposite side)²
100 - 49 = 51 => opposite side = √51
Use SohCahToa to find the values:
cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)
sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)
Hope this helps!
GUYS HELP!! What’s an equation that represents the line on the graph?
Answer:
Hey Mate...
Step-by-step explanation:
All that the slope-intercept form (the equation to describe linear equations) is, is an equation (y=mx+b) where m (the number that multiples x) is the slope and b (the number that is not multiplying a variable on the right-hand side of the equation) is the y-intercept.
6x + 30 = -6 show your work
Answer:
its x=-6
Let's solve your equation step-by-step.
6x+30=−6
Step 1: Subtract 30 from both sides.
6x+30−30=−6−30
6x=−36
Step 2: Divide both sides by 6.
6x
6
=
−36
6
x=−6
Answer:
180
Step-by-step explanation:
Please help and I’ll mark brain list!
Answer:
y = 6
Step-by-step explanation:
Answer:
Y = 6Step-by-step explanation:
5y + 1 = 31 -1 -1 [tex]\frac{5y}{5y}[/tex] = [tex]\frac{30}{5y}[/tex] Y = 6Francesca deposited $70 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer $
Answer: $84
Step-by-step explanation:
70x0.1=7x2=14+70=84
will report anybody who gives a link!
3,947 ÷ 45 = (?) R (?)
Answer:
87.7(1)
=
87 Remainder 32
principal- $900, interest rate ordinary- 4%, term (days)- 45. find the interest
Answer:
hope this helps to find the interest
Step-by-step explanation:
450
The sum of three times a number and six is nine
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
A cylinder has a height of 15 millimeters. Its volume is 10,597.5 cubic millimeters. What is the
radius of the cylinder?
Answer: 15
Step-by-step explanation: r=V
πh=10597.5
π·15≈14.9962
everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?
Answer:
Jesse eats lunch at 11:45 a.m.
The price of an item has been reduced by 35%. The original price was $60. What is the price of the item now ?
Answer:
the answer is $39.00
Step-by-step explanation:
Which equation matches the graph?
A) y=(x-1)(x-4)
B) y=(x+1)(x+4)
C) y=(x-1)(x+4)
D) y=(x+1)(x-4)
Find a basis of the subspace
Find a basis of the subspace of R4
that consists of all vectors perpendicular to both
[1,0,5,-9] and [0,1,9,-7].
A basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].
To find a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7], we can use the concept of the cross product.
Let's consider the vectors [1,0,5,-9] and [0,1,9,-7] as vectors A and B, respectively.
We can find a vector C that is perpendicular to both A and B by taking the cross product of A and B.
C = A × B
To compute the cross product, we can use the following determinant formula:
C = [i, j, k]
[1, 0, 5]
[0, 1, 9]
Expanding the determinant, we have:
C = (0 × 9 - 1 × 5)i - (1 × 9 - 0 × 5)j + (1 × 5 - 0 × 1)k
= -5i - 9j + 5k
Therefore, we have found a vector C that is perpendicular to both [1,0,5,-9] and [0,1,9,-7], which is C = [-5, -9, 5].
To find a basis of the subspace, we can use this vector C as the basis vector. Since it is the only vector in the subspace, it forms a basis.
So, a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].
for such more question on vectors perpendicular
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