Answer:12m
Step-by-step explanation:
The length of the lace required will be the same as that obtained by calculating the perimeter of that table, so p= (L+W)×2
Hence, P=(4m+2m)×2
P= 12m
Find the area of the parallelogram.
Answer:
35 cm^2
Step-by-step explanation:
a = bh
a = (7)(5)
a = 35 cm^2
After eating dinner at a restaurant, Lucy's bill before tax is $48.00. The sales tax rate is 8%. Lucy decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Lucy pay total, including tax and the tip?
Answer:
$61.44
Step-by-step explanation:
Both the tip and the tax are based on the original amount ($48).
To find the amounts, first change the percents to decimals.
8% = 0.08
20% = 0.20
Then, multiply the decimals by the original amount.
48 × 0.08 = 3.84
48 × 0.20 = 9.60
Next, add up the original amount, the tax, and the tip to find the total money spent by Lucy.
$48 + $3.84 + $9.60 = $61.44
The total amount spent is $61.44.
Lucy pay total amount of $61.44, including tax and the tip.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Both the tip and the tax are based on the original amount ($48).
To determine the amounts, first change the percents to decimals.
8% = 0.08
20% = 0.20
Now multiply the decimals by the original amount.
48 × 0.08 = 3.84
48 × 0.20 = 9.60
Next, add up the original amount, the tax, and the tip;
$48 + $3.84 + $9.60 = $61.44
The total amount spent will be $61.44.
Learn more about multiplications;
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What type of number is -16.2i
Answer:
Complex and imaginary number
Step-by-step explanation:
First, let's write the number[tex]-16.2i[/tex] in the form of [tex]a+bi[/tex].
[tex]0+ (-17)i[/tex]
Since [tex]-16.2i[/tex] can be written in the form of [tex]a + bi[/tex], where [tex]a[/tex] and [tex]b[/tex] are real numbers, it is a complex number.
Also, since [tex]a=0[/tex], it is also an imaginary number.
[tex]-16.2i[/tex] is complex and imaginary.
Daniel drove from his house to his office. The graph show the distance Daniel had left to travel after for t driving
Answer:
Daniel office is located 20 miles from his house and it took Daniel 25 minutes to drive that distance.
Step-by-step explanation:
Since the graph shows the distance from his house to his office as a function of driving time, then when the driving time is equal to "0", it means that he didn't left his house yet and that is the distance from his house to his office. On the graph this is the point that crosses the "y" axis, 20 miles. When he arrives at his office, then the distance is equal to "0", since he already arrived at his destination. This happens when the graph crosses the "x" axis, which happens on the 25 min mark. So:
Daniel office is located 20 miles from his house and it took Daniel 25 minutes to drive that distance.
There are 36 students in a class. If 4/9 of the
students are girls, how many girls are in the class?
Answer:
16
Step-by-step explanation:
All you have to do 4/9 of 36 which is 16.
Hope this helps!!
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 32.
What is the age of the person who entered the room?
Answer:
52 years
Step-by-step explanation:
Since the mean age of 5 people in that room is 28 years,
∴ Sum₍₅₎= (28×5) years
= 140 years
Then, one person enters the room which makes the mean age 32 years.
∴Sum₍₆₎= (32×6)years
= 192 years
∴The age of the person who enters the room= (192 - 140) years
= 52 years
The graph of f(x) is given on the right. Which roots of f(x) have an odd multiplicity? -1 1 3
Answer:
-1
3
Step-by-step explanation:
Answer:
1. -1, 3
2. 4 could be a multiplicity of the root at x = 1.
What is the value of b? Round you answer to the nearest tenth
Answer:
23.01 = b
Step-by-step explanation:
Solve this using the Law of Cosines first: Find side length b.
b^2 = 22^2 + 28^2 - 2(22)(28)*cos 34 deg, or:
b^2 = 484 + 784 - 2(616)(0.593), or
= 1260 -730.576 = 529.424
Taking the square root of both sides, we get:
b = +√529.424 = 23.01 = b
What is the value of the following expression if x = 22: "five times a number x,
decreased by 2"?
Answer:
108
Step-by-step explanation:
"five times a number x, decreased by 2" can be expressed as: 5x - 2
Now,
5x - 2 = 5*22 - 2 = 110 - 2 = 108
Which of the following is(are) the solution(s) to 15x +21= 8?
Answer:
15x+21=8
subtract 21 from both sides
15x+21-21=8-21
simplify
15x=-13
divide both sides by 15
15x=-13
15 15
x=-13/15
Step-by-step explanation:
Will mark as brainliest if correct
Answer:
Step-by-step explanation: 2 x2 =4
i am guessing it means 2 to the power of 2
Answer:
[tex]2\log _{10}\left(z\right)=4 : z=100[/tex]
Step-by-step explanation:
[tex]2\log _{10}\left(z\right)=4[/tex]
Divide both sides by 2:
[tex]\frac{2\log _{10}\left(z\right)}{2} =\frac{4}{2}[/tex]
Simplify:
[tex]\log _{10}\left(z\right)=2[/tex]
Use the logarithmic definition: If [tex]\log _{a}\left(b\right)=c[/tex] then [tex]b=a^c[/tex]
[tex]\log _{10}\left(z\right)=2 \Rightarrow \:z=10^2[/tex]
[tex]z = 10^2[/tex]
Simplify:
[tex]z =100[/tex]
Final answer:
[tex]z=100[/tex]
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
So, the types of quadrilaterals you can find in the seating chart of the field are
Answer:sorry i need points
Step-by-step explanation:
Someone please help me!!
Answer:
5. 37.065 square centimeters
6. 241 square centimeters
Step-by-step explanation:
5. First, separate the figure into shapes you can find the areas of. This first figure can be represented by two rectangles and one quarter circle.
The two rectangles can be found using a = bh, or 5x3! Both of the rectangles' areas are equal to 30cm.
The circle's area can be found using a = pi(r^2). r stands for radius, which can be represented by 3cm. The area of a whole circle with a radius of 3 is 28.26 cm. Because it is a quarter circle, however, we can divide this value by four to get an area of 7.065cm.
If you add them all together, you get an area of 37.065.
6. First, separate the figure into shapes you recognize. This one can be separated into one triangle and one rhombus.
You can find the area of the triangle using the formula: a = 1/2bh. This gets you an area of 88cm.
The rhombus can be found using the formula: a = 1/2(b1+b2)h. Essentially, you find the average of the two bases and multiply it by the height! This gets you an area of 153cm.
Now, simply add the two areas together and you get an area of 241cm!
One hundred students vote for a drama, comedy, or action movie for a party. Drama gets one fifth of the votes. Action gets three times as many votes as comedy.
Write the vote totals. Tell which of these ratios correctly describe the results of the voting.
Answer:
:)
Step-by-step explanation:
Find the slope of the line that passes through the
points
(3, - 2)
and
(-2,5).
Answer:
The slope would be 7/5
Step-by-step explanation:
The slope is 7/5 because you can calculate slope by dividing the change in the y-value between two points over the change in the x-value. (y-y/x-x) you would just plug in the the points for X and Y, 5-(-2)/3-(-2) and you would get 7/5.
Ling walks 3/8 of the distance home from school in 9 minutes. She wants to know how long it will take her to walk the entire distance at the same speed. Ling uses the expressions 9 divided by 3/8 and 9 times 3/8 to find the answer. Explain what is wrong with Ling's expression and then write the correct solution.
entre 3/8 y 9 veces 3/8S
tep-by-step explanation:
Compare the algebraically expressed function f(x) = 3x2 + 6x + 7 to the function shown in the graph to determine which statement is true.
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the total surface area of this prism where the cross-section is an isosceles triangle.
Answer:
620 cm2
Step-by-step explanation:
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:
B = 24 * 10 = 240 cm2
The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:
C = 24 * 5 / 2 = 60 cm2
The sides are rectangles with 10 cm x 13 cm, so their area is:
D = 10 * 13 = 130 cm2
The total surface area is:
S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2
If a 40-foot tree casts a 50-foot shadow, how tall is a tree that casts a 60-foot shadow?
Answer:
48
Step-by-step explanation:
40/50 = x/60
x= (40 x 60) / 50
What is the first step in solving a quadratic equation of the form given below?
(ax + b)^2 = 0
A. Take the square root of both sides
B. Factor out a common factor
C. Divide both sides by c
D. Use the zero product rule
Answer:
A.
Step-by-step explanation:
if the volume of a cube is 4096 cubic cm, what is its surface area
Answer:
Here is the solution. Hope it helps.
Which of the following is a right triangle?
A)
a triangle with sides measuring 8, 12, and 13
B)
a triangle with sides measuring 6, 8, and 12
C)
a triangle with sides measuring 1, 2, and 3
D)
a triangle with sides measuring 10, 24, and 26
Answer:
D): a triangle with sides measuring 10, 24, and 26
I hope I helped you! If my answer is correct, could you please mark me brainliest? Thanks!
A restless point moved from point −1 to the left at the speed of 5 units per minute. Where will it be in 10 minutes?
Answer:
The answer is "-51"
Step-by-step explanation:
[tex]\ distance = 5 \frac{unit}{minute}[/tex]
[tex]\ moved \ point = \ time \times \ distance\\\\[/tex]
[tex]=10 \times 5 \\\\ = 50[/tex]
In this 50 unit left in point. So, total points which is left are:
[tex]\ moved \ point = point + \ calculated \ point (\ moved\ point)[/tex]
[tex]= -1 + -50\\\\=-51[/tex]
A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere? Round your answer to the nearest whole number.
Answer: 113.04 cm^3
Step-by-step explanation:
The surface area of a cube is:
S = 6*L^2
then:
216 = 6*L^2
216/6 = L^2
L = √(36) = 6
So the length of the side of this square is L = 6cm
Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.
Now the volume of a sphere is:
V = (4/3)*pi*r^3 = (4/3)*3.14*3^3 = 113.04 cm^3
Please help me thanks
Answer:
2:1____________________________________
What is the arc length of a circle that has an 8-inch radius and a central angle that is 95
degrees? Use 3.14 for TT and round your answer to the nearest hundredth.
Answer:
13.26
Step-by-step explanation:
The formula for arc length is 2πr([tex]\frac{angle}{360}[/tex])
Then all you have to do, is sub your values into it
Which angle pairs are supplementary
Answer:
the second, third, and last
Please help! Find the área of the triangle .
Answer:
a= 75 cm
Step-by-step explanation:
a= 10×15
150÷2
a= 75 cm
Answer:
67.97 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bc sinA
with b = 15, c = 10 and A = 115°, thus
A = 0.5 × 15 × 10 × sin115° = 75 × sin115° ≈ 67.97 cm²
A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the length of each side is 6.5 inches. What is the area of each tile? Enter your answer in the box.
Answer:
A=9.75
Step-by-step explanation:
A=pq
___
2
A= 3 6.5
_____
2
A=9.75
Factor as the product of two binomials. 36+12x+x^2=
Answer:
(6 + x)(6 + x) = (6 + x)²
Step-by-step explanation:
Given
36 + 12x + x²
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)
The factors are + 6 and + 6, since
6 × 6 = 36 and 6 + 6 = 12, thus
36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²