Answer:
see below
Step-by-step explanation:
V = l*w*h
1. V = l*w*h
96 = 6*3.2 h
96 = 19.2h
Divide each side by 19.2
96/19.2 =h
h = 5
2. V = l*w*h
22 = l*2 *1.1
22 = 2.2l
Divide each side by 2.2
22/2.2 =l
10 = l
3. V = l*w*h
120 = 12*w *4
120 = 48w
Divide each side by 48
120/48 = w
w =2.5
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 garden has an area of 28 square meters. The length of the garden is 7 meters. What is the width of the garden?
You have to find the width
Answer:
4 meters
Step-by-step explanation:
Area is length x width
28=7n where n is the unknown width
Solve for n and u get 4
Answer:
4 metres
Step-by-step explanation:
The garden is in the form of a rectangle. The area of a rectangle is denoted by A = lw, where l is the length and w is the width.
Here, we're given the length is l = 7 and the area is A = 28, so we can plug these into the formula:
A = lw
28 = 7 * w
Divide both sides by 7:
w = 28 / 7 = 4
Thus, the width is 4 metres.
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
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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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!
In the table below, 1:2, 2:4, 3:6, 4:8, and so on are all equivalent ratios.
A multiplication table. In the row labeled 1, the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are highlighted. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted.
By what factor is the first term in each ratio multiplied to get the second term?
1
2
3
4
Answer:
2!!!!!!
Step-by-step explanation:
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.
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:
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
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.
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
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:
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.
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
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
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
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:
27
Select the decimal that is equivalent to
32
Choose 1 answer:
0.76418
® 0.76418
0.84375
0.84375
© None of the above
Answer:
none of the above
Step-by-step explanation:
the decimal equal to 32 is 32
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
Find the product. Hint: Box
(x2+3x-5) (2x- 4)
Answer:
the answer is 10x^2-30x+20
Step-by-step explanation:
you have to distribute the numbers and multiply then add the matching variables.
Which angle pairs are supplementary
Answer:
the second, third, and last
Simplify the following expression.
(8x + 4) - (2x2 + 4x - 7)
HELLPPP
Answer:
Step-by-step explanation:−2x^2+4x+11
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!
Find the area of the parallelogram.
Answer:
35 cm^2
Step-by-step explanation:
a = bh
a = (7)(5)
a = 35 cm^2
Please help me thanks
Answer:
2:1____________________________________
FP!!!!!!!!!!!!!!!!!!!!!
(10 x 100 ) + 980 = ?
Answer:
Ans = 1980
Step-by-step explanation:
(10 x 100 ) + 980 = (1000) + 980
therefore
1980 is the answer
if the volume of a cube is 4096 cubic cm, what is its surface area
Answer:
Here is the solution. Hope it helps.
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
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.