Answer: 1 3/4 cubic feet
Step-by-step explanation:
1234567890
Answer:
a
Step-by-step explanation:
Simplify the expression (10 + 3i)(10 - 3i)
91
109
100-30i
100+30i
Answer:
(10 + 3i)(10 - 3i)=109
Step-by-step explanation:
[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]
Answer:
B) 109
Step-by-step explanation:
I took the test and got a 100%
Find the area and the circumference of a circle with radius 7 ft.
Use the value 3.14 for a, and do not round your answers. Be sure to include the correct units in your answers.
Areal
Circumference:
Answer:
circumfrence : 43.96 area :153.94
Step-by-step explanation:
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle
Answer:
width = 2 units
Step-by-step explanation:
If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.
the area of a rectangle is length * width
so just substitute the values that we have now.
x (length) * (x-4) width = 12 (area of rectangle)
so that gives us
x^2 - 4x =12
subtract 12 from both sides
x^2 - 4x - 12 =0
now factor this equation
x^2 + 2x - 6x -12 = 0
x(x+2) - 6(x+2) = 0
(x-6)(x+2) = 0
x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE
length = 6, and width = 6 -4 = 2
Answer:
W=2 units
Step-by-step explanation:
Length=L
Width=L-4
Area of a rectangle= L*W
L(L-4)=12
L^2-4L=12
L^2-4l-12=0
Now we have a quadratic equation
(L-6)(L+2)=0
L=6, L=-2
L cannot be -2 because it is negative, so L must be 6.
BUT it is asking for the width
and it is given that the width is the length minus 4 units, so
6-4= 2 units
CAN YOU HELP PLEASE!! YEAH U!! COME ON HELP ME!!
Answer:
It's 6/18
Step-by-step explanation:
What is the area of the sector shown?
Answer:
D.~ 34.2~cm^2
Step-by-step explanation:
An arc measure of 20 degrees corresponds to a central angle of 20 degrees.
Area of sector of circle
area = \dfrac{n}{360^\circ}\pi r^2
where n = central angle of circle, and r = radius
area = \dfrac{20^\circ}{360^\circ}\pi (14~cm)^2
area = \dfrac{1}{18}(3.14159)(196~cm^2)
area = 34.2~cm^2
Answer:
60
Step-by-step explanation:
Please respond with the format showed on the picture so use . after the letter and display the answer.
Answer:
c
Step-by-step explanation:
(24 - 15) x 4 - 3 x 2
9 x 4 - 3 x 2
36 - 6
30
Please help, I will mark you as brainliest. Please help, use the Pythagorean theorem to find the apothem of a regular hexagon with a side length of 8
Answer:
1.755
Step-by-step explanation:
What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11
Answer:
Y=8
Step-by-step explanation:
A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8
Answer: y = 8
Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".
Since we are given that the y-coordinate is 8, that means that
the equation of this line will be y = 8.
Circle G:(x-14)^2+(y+12)^2=49 and Circle H:(x-18)^2+(y-8)^2=196. Describe a complete series of transformation from Circle G to Circle H.
Step-by-step explanation:
The equation
(x - a)² + (y - b)² = r²
describes a circle of radius r, with center at the point (a, b).
G is a circle of radius 7 units, centered at the point (14, -12).
H is a circle if radius 14 units, centered at the point (18, 8).
Answer:
Dilation
Step-by-step explanation:
The general form of a circle with center at (h, k) and radius r units is given as
(x - h)² + (y - k)² = r²
G is a circle centered at the point (14, -12) with radius 7 units.
G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.
if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
If b^p=N, then which of the following statements is also true?
it should be logb^N=p
Find the volume of the composite space figure to the nearest whole number.
Answer:
180cm^3
Step-by-step explanation:
What is the volume in cubic centimeters if the
pyramid has a height of 27 centimeters?
Answer:
The volume of the pyramid would be 4500 cm³.Step-by-step explanation:
Formulas you would be using:
Volume of a pyramid: [tex]V = \frac{bh}{3}[/tex] b = base, h = height
Area of a trapezoid: [tex]A = \frac{a+b}{2} h[/tex] a = base₁ , b = base₂ , h = height
First, we're going to find the area of the trapezoid, which is the base of the pyramid.
We are given that a = 20, b = 30, h = 20
Plug it in:
[tex]\frac{20+30}{2} (20)[/tex] = 500 cm²
Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.
[tex]V = \frac{(500)(27)}{3}[/tex] = 4500 cm³
Hope this helps :D
Can someone explain and answer
Answer:
D. y = -2x + 20
Step-by-step explanation:
first, plot these points on a linear graph.
work down from the top:
A. y = 2x + 5
look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5
y = 2x + 5
From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)
B. y = 2x - 6
the last number means the first point will be on -6 on the y axis.
y = 2x - 6
the 2x means that every 1 square you go across (to the right) from that point, you will move up 2
C. y = 2x
as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2
D. y = -2x + 20
the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.
this is the only line that moves down from left to right
SOMEONE, PLEASE HELP ME OUT!
Answer:
B
Step-by-step explanation:
Angle P and Angle Q are co- interior angles so they add up to 180 degrees
If angle P is 116, then:
116+ x= 180
(x= Angle Q)
x=180-116
x=64
What is the greatest common factor for each group?
Answer:
Left group: [tex]2x^{5\\}[/tex] Right group: 3
Step-by-step explanation:
Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )
21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.
Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex] = 2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)
Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%
per year. What interest does he earn at the end of 1 year?
Answer:
$60
Step-by-step explanation:
SI = (PRT)/100
SI = Simple Interest
P = Principal
R = Rate ( in decimal form)
T = Time
SI = (1200 x .5 x 1)/100
SI = 6000 / 100
SI = 60
(10 points)
-22 + 31
= 2
Consider the equation 35 + 7
How do you begin isolating the variable x to one side of the equation?
The solution of the equation is
(IGNORE THE WRITEN QUESTION JUST LOOK AT THE PICTURE)
Step-by-step explanation:
Im not sure ut it looks like 3x over 3x would cancel eachother out.
Pythagorean theorem:
Is a triangle with the following side lengths a right triangle? Why?
a = 4
b = 6
c = 8
Example:
This does/does not make a right triangle because...
Answer/Step-by-step explanation:
This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.
16 + 36 = 64
52 doesn't equal 64.
Answer:
This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.
If Mitchell buys 3/10 of a pound of cream cheese and 3/10 of a pound of sour cream, how much will he spend?
plain yogurt $5 per pound
sour cream $5 per pound
Greek yogurt $3 per pound
cream cheese $3 per pound
Answer:
$2.40
Step-by-step explanation:
Take the price of each item and divide by ten to find the cost of 1/10:
3 divided by 10 = .3
5 divided by 10 = .5
Then multiply by the amount he is purchasing:
.3 x 3 = .9
.5 x 3 = 1.5
Add the prices together for a total:
.9 + 1.5 = 2.4
Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.
Answer:
P 140 units
A 1200 units^2
Step-by-step explanation:
The length of the rectangle is 20 to -20 = 20 - -20 = 40 units
The width of the rectangle is 20 to -10 = 20 - -10 = 30 units
The perimeter is given by
P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units
The area is given by
A = lw = 40*30 = 1200 units^2
One pound equals 0.45 kilogram. Cathy weighs 81.36 kilograms on the bathroom scales. Determine her weight in pounds.
Answer:
179.36 pounds
Step-by-step explanation:
Her weight in pounds is 180.8
Using this formula
Weight in pounds=Weighs in kilograms/pound in kilogram
Where:
Weighs in kilograms=81.36 kilograms
Pound in kilogram=0.45 kilogram
Let plug in the formula
Weight in pounds=81.36 kilograms/0.45 kilogram
Weight in pounds=180.8
Inconclusion Her weight in pounds is 180.8.
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Is 2x^2+5x^2-8 a monomial, binomial or trinomial?
Answer:
trinomial
Step-by-step explanation:
plus and minus signs separate terms.
2x^2 is a term
5x^2 is another term
-8 is another term.
The given algebraic expression is binomial.
The given expression is 2x²+5x²-8 (7x²-8).
We need to check whether the given expression is a monomial, binomial or trinomial.
What are the different types of algebraic expression?The different types of algebraic expression are explained below:
Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.
Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.
Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.
Now, the given expression 7x²-8 as two terms.
Therefore, the given algebraic expression is binomial.
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Which point could be on the line that is perpendicular to Line M N and passes through point K? (0, −12) (2, 2) (4, 8) (5, 13)
Answer:
B: (2,2)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use the table below.
If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?
No
Yes
Answer:
Yes
Step-by-step explanation:
1/2 fruit cocktail—>57
broiled sirloin—>240
baked potato—>145
442 is the total so yes
Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.
Integers*?
Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
i have alot of work to dk sk if anyone could help pleas
All in the attachment :)
and don't complain about my drawing skills ;)
Logan is 4 times older than his cousin Dylan .Logan is less than 12 years old.which inequality shows the possible age Dylan could be.
A. d< 3
B . d > 3
C. d < 48
D. d > 48
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen? A rectangle with length 3 cubed feet and width of 3 squared feet. Find the area. 1. Multiply powers: 32 · 33 2. Expand each power: (3 · 3) · (3 · 3 · 3) 3. Simplify: 35 Complete each sentence. The of the original exponent is the exponent in the power of product. The dog pen has an area of square feet.
Answer:
3^5 = 243 square feet
Step-by-step explanation:
Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:
1. Multiply powers:
A = 3² * 3³
2. Expand each power:
A = (3*3) * (3*3*3)
3. Simplify:
[tex]A = 3^5[/tex]
The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.
The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
The complete sentences are actually the way to solve the question and can be completed as mentioned below:
A rectangle with a length of 3 cubed feet and a width of 3 squared feet.
Find the area.
1. Multiply powers: Area = 3² · 3³
2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)
3. Simplify: Area = [tex]\bold{3^5}[/tex]
The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.
Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
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