Answers
area = base x height
base = 5
and height = 7
so area = 7*5 =35 square yards
Related Questions
What is the verbal expression of 23f
Answers
So, it is read as "23 times f".
Hermina cut a 10" by 15" piece of cardboard down the diagonal
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Now use the pythagorean theorem to solve
10^2+15^2=325=c^2
c= approx 18.02775=length of the diagonal
Hermina can calculate the length of the diagonal on her 10" by 15" rectangle of cardboard by using the Pythagorean theorem. The formula states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides, the length and the width. Thus, by inputting the values into the formula, we get a diagonal length of about 18.03".
Explanation:The question involves calculating the length of the diagonal on a rectangular piece of cardboard. In mathematics, the Pythagorean theorem is used to calculate the length of a diagonal. In this case, the length and width of the rectangle are given as 10" and 15" respectively. We can apply the theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The diagonal here acts as the hypotenuse, with the other two sides being the length and width of the rectangle. Therefore, the length of the diagonal is the square root of the sum of squares of these sides, which would be sqrt(10^2 + 15^2), resulting in approximately 18.03".
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One minute after it is released, a gas-filled balloon has risen 100 feet. In each succeeding minute, the balloon rises only 50% as far as it rose in the previous minute. How far will the balloon rise in 5 minutes?
Answers
a(n)=ar^(n-1), and we know that a=100 ft and r=1/2 so
a(n)=100(1/2)^(n-1)
And the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r)
s(n)=100(1-0.5^n)/(1-0.5)
s(n)=200(1-0.5^n)
So we can call these sums the height function
h(t)=200(1-0.5^t)
So after 5 minutes...
h(5)=200(1-0.5^5)
h(5)=193.75 ft
5+ 1/7b = -2
whats be and explanation
(don't get it cause its a fraction)
Answers
First subtract 5 from both sides. Our goal is to isolate b.
5+(1/7)b-5= -2-5
(1/7)b= -7
Now multiply both sides by 7 because (1/7)*7= 7/7 or 1.
7* (1/7)b= -7*7
1b= -49
Final answer: b= -49
Multiply (2.4 ⋅ 1014) ⋅ (4 ⋅ 107). Express the answer in scientific notation. 9.6 ⋅ 1021 9.6 ⋅ 1022 96 ⋅ 1021 96 ⋅ 1022
Answers
hope this helps
Answer:
9.6 × [tex]10^{21} )[/tex].
Step-by-step explanation:
Given : Multiply [tex](2.4 * 10^{14} ) * ( 4 *10^{7} )[/tex].
To find : Express the answer in scientific notation.
Solution : We have given that
[tex](2.4 * 10^{14} ) * ( 4 *10^{7} )[/tex].
Combine the like terms
(2.4 * 4 )( [tex](10^{14} ) (10^{7} )[/tex].
By the exponent same base rule : if the base of two exponent are same then exponent will be add.
9.6 × [tex]10^{14 + 7} )[/tex].
9.6 × [tex]10^{21} )[/tex].
Therefore, 9.6 × [tex]10^{21} )[/tex].
Subtract the fractions and simplify the answer 13/15 -2 2/3
Answers
2 2/3 = 8/3
8/3= 40/15
13/15 - 40/15 = -27/15 = -1 12/15
the area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units. True or false?
Answers
(sint+cost)^2=
A.) 1
B.) 1+2sint
C.) 1+sin2t
D.) sin(t^2)+cos(t^2)
E.) sin(t^2)+2sintcost+cos(t^2)
Answers
[tex](sin(t)+cos(t))^2=sin^2(t)+cos^2(t)+2sin(t)cos(t)=1+sin(2t)\\ [/tex]
Answer C.
the legs of a right triangle are 75 and 100. what is the length of the hypotenuse?
A: 5 square root 5
B: 250
C:125
D: 625
Answers
right triangle us pythagorean theorem
a^2 + b^2 = c^2
75^2 + 100^2 = C^2
5625 +10000 = c^2
15625 =c^2
c=Sqrt(15625) = 125
hypotenuse = 125
answer is C
A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, what are the coordinates of another vertex of the figure?
A) (-3, -1)
B) (3, 1)
C) (1, -3)
D) (-1, 3)
Answers
Answer:
(1,-3)
Step-by-step explanation:
A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, find the coordinates
When a vertex is reflected over y axis then the value of y remains the same , the x value becomes -x
for (x,y) reflected over line symmetry y axis
(x,y) becomes (-x,y)
So the vertex (-1,-3) becomes (1,-3)
Lily is 14 older than her little brother Ezekiel. In 8 years, Lily will be twice as old as Ezekiel will be then. What is Lily and Ezekiel's combined she?
Answers
The combined age of Lily and Ezekiel is 42.
Lily is 14 older than her little brother Ezekiel. In 8 years, Lily will be twice as old as Ezekiel will be then. What is Lily and Ezekiel's combined To be determined.
In mathematics it deals with numbers of operations according to the statements.
Let the age of lily be L and the gare of her brother Ezekiel is E.
Lily is 14 older than her little brother Ezekiel.
L = 14 + E - - - - - -(1)
In 8 years, Lily will be twice as old as Ezekiel will be then.
L = 2(E)
put L in equation 1.
2E = 14 + E
2E - E = 14
E = 14
Now put E in equation 1
L = 14 + 14
L = 28
Combined age of Lily and Ezekiel's = 28 + 14
= 42
Thus, the combined age of Lily and Ezekiel's is 42.
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Joy Co. allocates overhead expenses to all departments on the basis of floor space (sq. ft.) occupied by each department. This year total overhead expenses were $22,000. Department A. occupied 15,000 sq. ft., Department B. 18,000 sq. ft., and Department C. 9,000 sq. ft. The amount of overhead allocated to Department B is (round to the nearest dollar):
Answers
A: B: C
15000 : 18000 : 9000
15 : 18 : 9
5 : 6 : 3
The budget needs to be divided into 5+6+3 = 14 parts
The budget for one part is 22000/14
The budget for department B is [tex] \frac{22000}{14}*6=9428.571428 [/tex]
Rounded to the nearest dollar, the budget is $9429
Choose the correct simplification of x to the 2nd power over y to the 5th power all raised to the 4th power. (5 points)
x to the 8th power over y to the 9th power
y12
x12y8
x to the 8th power over y to the 20th power
Answers
b(n)=4−6(n−1) Find the 4th term in the sequence.
Answers
Answer:
-14
Step-by-step explanation:
answer on khan
a fellow classmate tosses 4 coins and finds that 3 of them come up tails. Which of the following is the best conclusion for her to come to?
A. She needs to keep flipping the coins until she gets a 50% in heads to determine if they are fair.
B. The coins are unfair
C. This could easily happen with a fair coin after only 4 flips
D. If she flips the coins one more, they will all come up heads
Answers
Answer:
Option C -This could easily happen with a fair coin after only 4 flips.
Step-by-step explanation:
Given : A fellow classmate tosses 4 coins and finds that 3 of them come up tails.
To find : Which of the following is the best conclusion for her to come to?
Solution :
According to statement,
A fellow classmate tosses 4 coins and finds that 3 of them come up tails.
This could be happen when coin is tossed or flip 4 times and the coin must be fair.
As when we flip 4 coins the possible outcomes were
HHHH THHH HTHH TTHH
HHHT THHT HTHT TTHT
HHTH THTH HTTH TTTH
HHTT THTT HTTT TTTT
So, The best conclusion for her is Option C
This could easily happen with a fair coin after only 4 flips.
Can someone please help me? person who helps gets brainly
−5r+8r+5
Answers
We must combine like terms.
That basically just means that we add anything that has any like variables :)
In this case, our like terms are the variable "r."
So, we must add -5r to 8r
Think of this as if there were no "r" in there.
So, it looks like this : -5 + 8
What's -5 + 8?
It's 3! So, now we just need to add an 'r' after the 3.
So, -5r + 8r = 3r
Since we have no more like terms, our answer is :
3r + 5
~Hope I helped!~
How do you add subtract multiply and divide complex numbers and polynomials
Answers
More difficult to divide complex numbers. 1. We must find the complex conjugate of the denominator 2. Then, we must multiply the numerator and denominator by that conjugate and simplify the expression.The complex conjugate have the part equal to given, and the imaginary part is opposite to given.
To multiply complex numbers, we must multiply it like the two expressions in brackets, and simplify the result.
Addition subtraction and multiplication of polynomials is also made as expressions in parentheses between them. During the operation it is necessary to cause such members.To divide the polynomial by the polynomial you need to record them so as if you divide the numbers in a column, and perform the division by the same rules.
Final answer:
To operate on complex numbers, add or subtract real and imaginary parts separately, multiply using the distributive property, and divide by multiplying by the conjugate of the denominator. Polynomial operations similarly involve combining like terms, using the distributive property, and performing long or synthetic division.
Explanation:
Adding, Subtracting, Multiplying, and Dividing Complex Numbers and Polynomials
To add complex numbers, combine the real parts and the imaginary parts separately. For example, (3 + 2i) + (1 + 4i) = (3 + 1) + (2i + 4i) = 4 + 6i. For subtracting complex numbers, similarly subtract the real and imaginary parts: (3 + 2i) - (1 + 4i) = (3 - 1) + (2i - 4i) = 2 - 2i.
To multiply complex numbers, use the distributive property (FOIL), and remember that i² = -1. For instance, (3 + 2i)(1 + 4i) = 3 + 12i + 2i + 8i² = 3 + 14i - 8 = -5 + 14i.
For dividing complex numbers, multiply the numerator and the denominator by the conjugate of the denominator to rationalize it. For example, (3 + 2i) ÷ (1 + 4i), multiply numerator and denominator by (1 - 4i) to get [(3 + 2i)(1 - 4i)] ÷ [(1 + 4i)(1 - 4i)] = (3 - 12i + 2i - 8i²) ÷ (1 - 16i²) = (11 - 10i) ÷ 17 = (11÷ 17) - (10i÷ 17).
Polynomial operations are similar, but instead of imaginary units, we work with variables. For adding polynomials, combine like terms. For subtracting polynomials, change the sign of each term in the polynomial being subtracted and combine like terms. Multiplying polynomials also requires the distributive property, and for division, you can use either long division or synthetic division depending on the polynomials involved.
A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760
Answers
1st character = 26 possibilities ( 26 letters in the alphabet)
2nd character = 26 possibilities
3rd character = 26 possibilities
4th character = 10 ( 10 special characters)
26 x 26 x 26 x 10 = 175,760 combinations
Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it take them if they worked together?
Explain too please, thanks.
Answers
.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let x = time if working together
then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
6x+5x=30
11x=30
x=30/11
x=2 8/30 =2 8/30 hours
8/30 hr=16 minutes
2 hours 16 minutes.
Hope this helped.
What is the solution to this system of equations?
Answers
3/5b-8=4, step by step plz
Answers
Add 8 to both sides
(3/5)b-8+8=4+8
(3/5)b= 12
Now divide both sides by (3/5)
(3/5)b/(3/5)= 12/(3/5)
b= 12/(3/5)
12/1* 5/3= 60/3= 20
Final answer: b=20
Olga saves $15 from every paycheck to save up for a new game system that cost $399. Currently, she has $360 saved. Ignoring the purchase, how many more paychecks does she have until she has enough money saved to buy the game system
Answers
Saved so far = - $ 360
Balance -----------
$ 39 divided by amount saved each paycheck
-------
15
# paychecks 2.6 3 paychecks
Hilary wants to fill a mini cake pan with batter to make a mini cake for Phillip's party. The cake pan is 4.0 inches long, 9.0 inches wide, and 2.2 inches deep. What is the volume of the cake pan?
Answers
The volume of the cake pan Hilary wants to use is calculated using the formula for the volume of a rectangular prism. With dimensions of 4.0 inches by 9.0 inches by 2.2 inches, the volume is 79.2 cubic inches.
To find the volume of the cake pan that Hilary wants to use for making a mini cake for Phillip's party, we need to use the formula for the volume of a rectangular prism, which is Volume = length × width ×height. Given the dimensions of the cake pan are 4.0 inches long, 9.0 inches wide, and 2.2 inches deep, we can calculate the volume as follows:
Volume = length × width × height
Volume = 4.0 in× 9.0 in × 2.2 in
Volume = 79.2 in³
Therefore, the volume of the cake pan is 79.2 cubic inches.
The width of a vegetable garden is 3 times it's length.If the length of the garden is 4 1/2 feet,what is the width in simplest form?
Answers
A factory used 396.25 pounds of tomatoes to make 6.25 batches of salsa. How many pounds of tomatoes were used in each batch?
Answers
hope this helps:)
please mark thanks and brainliest! :)
Answer:
63.4 pounds of tomatoes were used in each batch
Step-by-step explanation:
A factory used 396.25 pounds of tomatoes to make 6.25 batches of salsa.
Or, In 6.25 batches of salsa 396.25 pounds of tomatoes were used.
In 1 batch of salsa , [tex]\dfrac{396.25}{6.25}[/tex] pounds of tomatoes will be used.
i.e. In 1 batch of salsa , 63.4 pounds of tomatoes will be used.
Hence, 63.4 pounds of tomatoes were used in each batch
Plz help any1 plzzzzzzzzzz!!!!!!!!!!!!!!!!!
Answers
At Mei's Printing Company LLC there are two kinds of printing presses: Model A which can print 80 books per day and Model B which can print 30 books per day. The company owns 10 total printing presses and this allows them to print 400 books per day. How many of each type of press do they have?
Answers
80A + 30B = 400
80(10 - B) + 30B = 400
800 - 80B + 30B = 400
-80B + 30B = 400 - 800
-50B = - 400
B = -400/-50
B = 8 <=== there are 8 model B printers
A + B = 10
A + 8 = 10
A = 10 - 8
A = 2 <=== there are 2 model A printers
Write 12c+10 as an equivalent expression with one term
Answers
We need to take the common factor of '12c' and '10', which is '2' [both terms are divisible by 2]
Rewriting the expression after taking out the common factor:
2(6c+5)
Which is an equivalent expression with one term
3x (2•5) + 45= n
What is n???
Answers
1) 3*(2*5)+45=N
2) 3*10+45=N
3) 30+45=N
4) N=75
How can you use the number line in picture it to figure out how many miles Tim travels from home to school