The area of a parrellogram is 31.5ft and height is 6.3ft. What is the length of the base
Answers
Answer:
Area = base × height
31.5 = base × 6.3
base = 5 ft
Answer:
5 feet
Step-by-step explanation:
The area formula is A = b * h, where A is the area, b is the length of the base, and h is the height. Since we want to know the length of the base, we are solving for b. Thankfully, we know that A = 31.5 and h = 6.3. When we plug them into the equation, we get 31.5 = b * 6.3. Because we want b on one side without any coefficients and numbers on the other side, we can divide the equation by 6.3 on both sides. The equation will remain the same because we are doing the same thing to both sides. When we divide, we get b = 31.5 / 6.3 = 5 feet. Hope this helps!
Related Questions
How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answers
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
What number is 10% less than 800
Answers
Answer:
720.
Step-by-step explanation:
To find %10, imagine a decimal at the end of the number, then move it over one digit. Ex. 800. -> 80.0. %10 of 800 is 80. 800 - 80 = 720.
Which fractions are equal to 0.6
1 over 6,60 over 100,1 over 60,6 over 10
Answers
What type of sequence and how to write the explicit rule.
Answers
The Solution:
Given the sequence below:
\(26,18,10,2,\ldots\)We are required to identify the type of sequence and to find the explicit rule for the given sequence.
Step 1:
To determine the type of sequence, we shall run the following check:
\(\begin{gathered} a_2-a_1=a_3-a_2\text{ then it is an Arithmetic sequence} \\ \text{ but if} \\ \frac{a_2}{a_1}=\frac{a_3}{a_2}\text{ then it is a Geometric sequence.} \end{gathered}\)So,
\(\begin{gathered} 18-26=10-18 \\ -8=-8 \\ \text{ Then it follows that the sequence is an Arithmetic sequence.} \end{gathered}\)Thus, the sequence is an arithmetic sequence.
Step 2:
To find the explicit rule, we shall use the formula below:
\(a_n=a_1+(n-1)d\)In this case,
\(\begin{gathered} a_1=\text{ first term=26} \\ n=\text{ number of terms=?} \\ d=\text{ co}mmon\text{ difference=18-26=-8} \end{gathered}\)Substituting these values in the formula, we get
\(\begin{gathered} a_n=26+(n-1)(-8) \\ a_n=26-8(n-1) \end{gathered}\)Therefore, the explicit rule of the sequence is :
\(a_n=26-8(n-1)\)which expression are equivalent to z+(z+6)?
Answers
Answer:
z+ (z+6) is equivalent to 2(z+3)
Step-by-step explanation:
Hope this helps :)
differenciate the Function 1/ X3
Answers
Step-by-step explanation:
To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:
Write the function: f(x) = 1/x^3.
Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).
Differentiate the function: In our case, n = -3, so the derivative is:
f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.
Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.
The quotient of 462 and 28 is 4,102 Express in decimal notation.
Answers
Quotient of two values is the output when those values are divided by each other. For example if a/b = c then c will be the quotient,
For us to get the quotient of 461 and 28, we will divide 28 by 461 a shown;
462/28
Let us express in its simplest form first;
462/28 = 2*231/2*14
462/28 = 231/14
231/14 = 7*33/7*2
231/14 = 33/2
Hence 462/28 = 33/2
33/2 = 16.5
Hence the quotient of 462 and 28 in decimal notation is 16.5
20. Two cars with the velocity of 60
km/h and 50 km/h move toward
each other at the same time. If the
distance between cars is 660 km
then after how many hours cars
meet
A 7 B.6 C5 D. 4 E. 3
Answers
it should be 7 hours because the cars distance is 660
g)Find the
the coefficient of y^5 in the
expansion of (3+2y)^6
Answers
Answer:
2
Step-by-step explanation:
A coefficient is a number of times a variable. So in this equation. 2 is being multiplied by y. so 2 is the coefficient.
giving 90 points! NEED IN TWO MINS
Answers
Answer:
300
Step-by-step explanation:
A=wl=10·30=300
multiply the length of the rectangle by the width of the rectangle.
The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
Answer:
Area = 378.5 ft²
Step-by-step explanation:
The figure is having two semi circles and one rectangle.
\({ \sf{area = area \: of \: semicircles + area \: of \: rectangle}} \\ \\ { \sf{area = 2( \frac{1}{2} \pi {r}^{2}) + (l \times w) }} \\ \\ { \sf{area = \pi {r}^{2} + (l \times w) }} \\ \\ { \sf{area = 3.14 \times {5}^{2} + (30 \times 10)}} \\ \\ { \sf{area = 378.5 \: {ft}^{2} }}\)
find x
a.204
b.90
c.78
d.102
Answers
Answer:
Hope you can understand my handwriting though
Find the area of the following figure ( i don't know how to get that answer plsss, help)
Answers
The area of the figure is 11. 27 cm²
How to determine the areaThe figure given is a parallelogram
The formula for the area of a parallelogram is given thus;
Area = base × height
From the figure, we have that
base = 2. 3 cm
height = 4. 9 cm
Substitute into the formula
Area = 2. 3 × 4. 9
Area = 11. 27 cm²
Thus, the area of the figure is 11. 27 cm²
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Martina spends $15 each time she travels the toll roads. She started the month with $225 in her toll road account. The amount, A (in dollars), that she has left in the account after trips on the toll roads is given by the following function.
A(t)=225-15t
Answer the following questions.
a. How many trips on the toll roads can Martina take until her account is empty?
b. How much money does she have left in the account after 8 trips on the toll roads?
Answers
Answer:
$70 is what he would have left. Since each trip is $14 you would multiply that by the amount of times he went which was 11. 14x11 is $154. But you need what he has left so you take his total amount $224-$154 and get $70.
Part b.) 16 times. He has $224 total. You want to find out how many times he can go on the tool roads. We know the toll roads cost $14 each time. So you do $224/14 and get an even amount of 16. He would be able to use it 16 times before he have no money left.
Step-by-step explanation:
you choose a marble at random from a bag containing 15 red marbles, 7 yellow marbles, and 3 pink marble. you replace the marble and then choose again. find the probability of P(both red)
Answers
Answer:
9/25
Step-by-step explanation:
15 red marbles, 7 yellow marbles, and 3 pink marble = 25 marbles
1st marble red
P(red) = red/total = 15/25 = 3/5
replace
15 red marbles, 7 yellow marbles, and 3 pink marble = 25 marbles
2nd marble red
P(red) = red/total = 15/25 = 3/5
P(red, replace,red) = P(red) * P(red) = 3/5 * 3/5 = 9/25
what is the remainder in the synthetic division below
Answers
The Remainder in the Synthetic division is three, for given problem
1 |__1___2__-3__3 is 3.
So, the correct option is option(c).
The Synthetic Division:
It is defined as the method of dividing the polynomial by the binomial is known as the synthetic division. It stands for polynomial division. Here, the division principle is performing in the coefficient of the polynomial.
We have given that the synthetic division is
1 |__1___2__-3__3
We find out the remainder in the synthetic division :
Multiply the carry-down value (i.e 1) by the test zero on the left, and carry the result(i.1×1 = 1) up into the next column inside:
1 | 1 2 -3 3
|______________
1
Add down the column( 2+1 = 3) :
1 | 1 2 -3 3
|____1_________
1 3
Multiply the previous carry-down value (i.e 3) by the test zero, and carry the new result up into the last column:
1 | 1 2 -3 3
|____1____3____
1 3 0
1 | 1 2 -3 3
|____1____3___0_
1 3 0 3
three, last carry-down value is the remainder.
Therefore, the remainder is 3. The option c is correct.
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Complete question:
What is the remainder in the synthetic division problem below?
a. 6
b. 4
c. 3
d. 5
Contestants A, B, C, D, and E are in a 10K race. How many different ways can a race with 5 runners be completed? (Assume there is no tie.)
In how many ways can B finish first and D finish second?
What is the probability that B finishes first and D finishes second? Enter a reduced fraction or decimal.
Answers
The race with 5 runners can be completed in 120 ways. The number of ways in which B finish first and D finish second is 6 ways. The probability that B finishes first and D finishes second is 0.01667
A permutation is referred to as the number of ways in which linear elements can be arranged in an orderly manner. It is usually expressed by the formula:
\(\mathbf{_nP_r = \dfrac{n!}{(n-r)!}}\)
The number of different ways in which a race with 5 runners can be completed can be estimated by using permutation.
\(\mathbf{_nP_r = \dfrac{5!}{(5-5)!}}\)
\(\mathbf{= \dfrac{5!}{1!}}\)
= 120 ways
If we fix B at first and D at second, then, the number of ways in which B and D can finish first and second respectively is:
\(= \mathbf{3P_3 = 3!}\)
= 6 ways
We know that the total number of ways A, B, C, D, and E can finish the race = 5!
The total number of ways B and D finish first and second is = 2!
∴
The probability that B and D finish 1st and 2nd respectively can be computed as:
\(\mathbf{P( B \ and \ D) = \dfrac{2!}{5!}}\)
\(\mathbf{P( B \ and \ D) =0.01667}\)
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Seattles great wheel travels 175pi ft for each revolution. What is the radius of the Ferris Wheel ?
Answers
\(\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ s=175\pi \\ \theta =\stackrel{1~revolution}{2\pi } \end{cases}\implies 175\pi =r(2\pi )\implies \cfrac{175\pi }{2\pi }=r\implies \stackrel{ft}{87.5}=r\)
Two groups of friends go to a basketball game. Each group plans to share snacks. The first group buys 5 drinks and 6 pretzels for 28$. The second group buys 2 drinks and 4 pretzels for 16$. Creat two equations in standard form you can use to solve this system
Answers
Answer:
the price for one pretzel was $1.75
Step-by-step explanation:
d for drinks
p for pretzel
3d + 3p = 9
3d = 9 -3p
d = 3 - p
replace d = 3 - 9 into 4d + 2p = 8.5
4d + 2p = 8.5
4(3 - p) + 2p = 8.5
12 - 4p + 2p = 8.5
-2p = 8.5 - 12
-2p = -3.5
p = 1.75
If using the method of completing the square to solve the quadratic equation
x2 + 3x +9 = 0, which number would have to be added to "complete the square"?
Answers
Answer:
0.555
Step-by-step explanation:
you simply follow the linear equation rule and fill in
please help me with this.....
Answers
Answer:
answer below
Step-by-step explanation:
C. i) y = 23,000(1 - 0.15)^t
ii) y = 23,000(1 - 0.15)^t
y = 23,000 x 0.85^4
y = 23,000 x 0.52200625
y = $12,006.14
y = $12,006. when rounded to the nearest dollar
This is what I got
Please give the right answer
Answers
Answer:
Just do 180-48!!
The answer is 132 degrees
Step-by-step explanation:
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Answers
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
3. What is the proper ordering
(from greatest to least) of the
following numbers?
I.58/67
II.0.58%
III.58%
IV.5.8%
O I, III, II,
O III, IV, II, I
O I, III, IV, II
O IV, I, III, II
Answers
Answer:
C) I, III, IV, II
Step-by-step explanation:
Convert each number into a decimal:
\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)
\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)
\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)
\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)
Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.
The next biggest tenth is 5, so 58% is the next largest number.
The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number. Therefore, 0.58% is the smallest number.
Therefore, the given set of numbers in order from greatest to least is:
I, III, IV, IIAnswer:
c) I, III, IV, II
Step-by-step explanation:
Values of l, ll, lll & lV respectively,
→ 58/67, 0.58%, 58%, 5.8%
→ 0.87, 0.0058, 0.58, 0.058
Arranging them in descending order,
→ 0.87 > 0.58 > 0.058 > 0.0058
→ 0.87, 0.58, 0.058, 0.0058
→ l, lll, lV, ll
Hence, the option (c) is correct.
b. An investment worth i costs $10 to withdraw, then the remaining amount is shared
between four people. Suppose each person gets $40. How much was the
investment worth?
Equation:
Solve it:
Answers
Answer:
the equation 10 = x - y
Step-by-step explanation:
Let x represent the initial value of the investment, and let y represent the amount of money that each person receives after the investment is withdrawn.
We know that the cost of withdrawing the investment is $10, so we can write the equation 10 = x - y. We also know that each person receives $40, so we can write the equation y = 40.
We can now solve for x by substituting the value of y into the first equation. Since y = 40, we can substitute 40 for y in the equation 10 = x - y to get 10 = x - 40. Solving this equation for x, we find that x = 50.
Therefore, the initial value of the investment was $50.
Select all of the statements that are true for the given function.
A.The function is concave down on (negative infinity, 3)
B. The function is concave up on (negative infinity, 3)
C.The function is concave up on (3, infinity)
D.There is a maximum value at (4, 0)
E. There is a minimum value at (4, 0)
F.The function is decreasing on (3,4)
G. The function is decreasing on (negative infinity, 1)
H. The function is Increasing on (negative infinity, -1)
Answers
The statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
How to find the statements that are true for the function.From the graph, we seee that the function is concave down for the interval (-∞, 3)From the graph, we see that the function has a maximum value at (4, 0) since the tangent at that point is zero and it is concave down.From the graph, we see that the function is negative on the interval (3, 4) . So, the function is decreasing on the interval (3, 4)From the graph, we see that the function is negative for x < 1. So, the function is decreasing on the interval (-∞, 1)So, the statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
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A rectangle has a length of
2,000 cm and a width of 23 cm.
What is the area?
What is the perimeter?
Answers
Answer:
Area= 46,000
Permiter= 4,600
Step-by-step explanation:
The formula to find the area of a rectangle is Length(L) times Width(W).
So 2,000(L) times 23 (W)= 46,000.
The formula for perimeter is 2(l+w).
So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.
Hope that helped, have a great day!!
Andres works 20 hours per week at a part-time job. His original pay rate was $10.00 per hour, but he recently received a pay raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y=20(10+x).
If Andres earned $210 last week, what was the amount of Andres' raise per hour?
i need work shown pls
Answers
Answer:10 + 10 so y would equal 10
Step-by-step explanation:
.
What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Answers
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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use deductive reasoning to show that the following procedure always produces the number 8. procedure: pick a number. add 5 to the number and multiply the sum by 3. subtract 7 and then decrease this difference by the triple of the original number.
Answers
After using the deductive reasoning the procedure always produces the number 8.
Procedure:
Let the number be x.
We have to add 5 to the number x.
So the expression is x + 5.
We have to multiply the sum by 3.
Now the expression is 3(x + 5).
Now we have to subtract 7.
Now the expression is 3(x + 5) - 7.
Then we have to decrease this difference by the triple of the original number.
The triple of original number is 3x.
Now the expression is {3(x + 5) - 7} - 3x.
Now solving this expression
= {3(x + 5) - 7} - 3x.
First simplify the bracket
= 3x + 15 - 7 - 3x.
= 8
Now we can se that the after following the whole procedure the answer is 8.
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The cell phone company will add −$2.74 to your next bill foreach of the 4 months you were overcharged.Will your next bill increase or decrease?.How much will your bill change?
Answers
Answer:
It will be
Step-by-step explanation: