Answer:
3 square units
Step-by-step explanation:
Edge 2021
The area of triangle ABC will be 3 square units. Therefore, option B is the correct answer.
Triangle ABC in the figure below, where b= 3 units and h= 4 units.
The area of the triangle ABC= The area of the right triangle ABD - The area of the right triangle ACD
We know that, area of a triangle = 1/2 ×Base×Height
The area of the right triangle ABD
= 1/2 ×3×4
= 6 square units
The area of the right angled triangle ACD
= 1/2 ×3×2
= 3 square units
Now, difference = 6-3 = 3 square units
Therefore, option B is the correct answer.
Learn more about area of triangle here:
brainly.com/question/4075559.
#SPJ7
Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)
Answer:
3x^2 +8x +3
Step-by-step explanation:
(6x^2 + 8x - 3) - (3x^2 - 6)
Distribute the minus sign
(6x^2 + 8x - 3) - 3x^2 + 6
Combine like terms
3x^2 +8x +3
Determine the slope and y-intercept. 4x + y = -10
Answer:
slope = -4
y-intercept = -10
Step-by-step explanation:
First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:
4x + y = -10
4x (-4x) + y = -10 (-4x)
y = -4x - 10
Note the slope intercept form: y = mx + b
y = y
m = slope = -4
x = x
b = y-intercept = -10
Answer:
slope m=-4
y intercepts (0,-10)
Step-by-step explanation:
Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?
Answer:
one package = $5. / double package= $14
Step-by-step explanation:
Lets say x is a package and y a double package
6x + 4y = $86
2(3x + 5y = $85)
6x + 10y = $170
-6x -4y. -86
6y = $ 84
÷6. ÷6
y= $14
6x +4y = $86
6x + 4($14) = $86
6x + $56 = $86
-56. -56
6x = $30
÷6. ÷6
x = $5
Answer:
chocolate chip = 5
double chocolate chip=14
Step-by-step explanation:
c = chocolate chip
d = double chocolate chip
Brenda
6c+4d = 86
Jasmine
3c+ 5d = 85
Multiply the second equation by -2
-6c -10d = -170
Add this to the first equation
-6c -10d = -170
6c+4d = 86
--------------------
- 6d = -84
Divide by -6
-6d /-6 = -84/-6
d =14
Now we can find c
3c+ 5d = 85
3c+5*14 = 85
3c +70 = 85
Subtract 70
3c = 85-70
3c = 15
Divide by 3
3c/3 = 15/3
c = 5
What is the sum of the geometric series 2+6+18+...+486?
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?
Answer:
512
Step-by-step explanation:
You can figure this a couple of ways.
1) Figure the number of muffin boxes that goes into each dimension of the larger box:
(2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.
Then the total number of muffin boxes that will fit in a larger box is ...
8×8×8 = 512
512 muffin boxes can fit into the larger box.
__
2) The volume of a muffin box in cubic feet is ...
((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3
The volume of a larger box in cubic feet is ...
(2 ft)^3 = 8 ft^3
Then the number of smaller boxes that will fit in the larger box is ...
(8 ft^3)/(1/64 ft^3) = 8×64 = 512
512 muffin boxes can fit into the larger box.
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.
Answer:
$25+$45=$70
Step-by-step explanation:
The only thing you have to do is add $25 and $45 hope this helps :)
Evaluate the expression 3 x
{10 +1} +5.
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5.
PEMDAS
Parentheses first
3 x {11} +5.
Then multiply and divide
33+5
38
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5 Following PEMDAS, solve in the parentheses
3 x 11 + 5 Multiply 3 x 11
33 + 5 Add
38
Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.
Answer:
0.80x dolllars
Step-by-step explanation:
20% discount of the total amount is
0.20 * x dolllars
So if you start with x dollars you need to subtract the discount to get the new (lower ) price.
x - (0.20 * x) dolllars
1* x - 0.20 * x
x * 1 - 0.20 * x
x * ( 1 - 0.20 )
x * ( 0.80 )
0.80x dolllars
A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters
Answer:
287.64
Step-by-step explanation:
2πrh is the formula you use for the lateral surface area.
to get radius, we know its half of the diameter so 4.2.
plug them in and you get your answer :)
Measure of angle r is 22. Find the measure of angle 0
Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmate HAS snowboarded and let B be the event that a classmate HAS surfed.
If Alex picked a classmate at random, what is P(B/A) ?
A. 4/21
B. 3/4
C. 4/25
D. 25/28
Answer:
surburu
Step-by-step explanation:
Answer:
B. [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
I got this question correct. :)
A: SnowboardedB: SurfedP(B|A) = P(A and B) / P(A)P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)
Amount surfed and snowboarded: 36Total amount snowboarded: 48P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]
Apologies for lack of explanation, but I think this will do it.
what is the median of the following number: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44
Answer:
52
Step-by-step explanation:
39, 40, 44, 49, 50, 54, 56, 61, 62, 68
39, 40, 44, 49, 50, 54, 56, 61, 62, 68
[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52
Answer:
52
Step-by-step explanation:
Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need
Answer:
The number of batches of paving stones Eric needs is 5 batches
Step-by-step explanation:
Here we have the size of of one paving stone = 1 ft²
The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²
Therefore, the number of paving stones Eric needs per patio is given by the relation;
[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]
Since the paving stones are sold in batches of one dozen, we have ;
4 batches = 48 paving stones and 5 batches = 60 paving stones
Therefore, the number of batches of paving stones Eric needs = 5 batches.
A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?
Answer:
0.52 cubic inches
Step-by-step explanation:
Given: circumference of a basketball is 31.4 inches.
[tex]\pi =3.14[/tex]
To find: basketball's volume to the nearest cubic inches
Solution:
circumference of a basketball (sphere) = 6.28(radius)
Also, circumference of a basketball = 31.4 inches.
So, 6.28(radius) = 3.14
radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch
Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]
Calculate (full working out)
5.16 x 2.93 =
A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per day?
A) 116.76
B) 117.66
C) 118.10
D) 118.43
Answer: it’s answer C.
Step-by-step explanation: 708.6 ÷ 6 = 118.1(0)
Answer:
c
Step-by-step explanation:
What is the range of the function y= e^4x
Answer:
The answer would be {y|y>0}
Step-by-step explanation:
hope this helps
What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base,
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Dintro
Done
Answer:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
Step-by-step explanation:
Any prism has two bases. Since we are talking about a rectangular prism and a triangular prism both must have two bases.
For example, a square prism has two bases and they are both square.
In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.
Note: For the figure to have only one base it must be called a pyramid.
Thus, the answer is:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles
Answer:
a
Step-by-step explanation:
please answer my question −4y−4+(−3)
Answer:
-4y - 7
Step-by-step explanation:
−4y−4+(−3)
Combine like terms
-4y - 7
Answer:
5
Step-by-step explanation:
y= 4+ 4 - 3
A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.
Answer:
9,216π or 28,938.2 meters³
Step-by-step explanation:
Given: diameter 48 inches
Radius 24 inches
Note:
Volume of hemisphere = volume of sphere / 2
Volume of hemisphere = 1/2 • 4/3 • πr³
= 1/2• 4/3×π×24³
= 1/2•18432π
= 9,216π
= 28,938.2 meters³
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
c=
Answer:
c=13
Step-by-step explanation:
You then square root both sides of the equation and the square root of 169 is 13.
Hope this helps! :)
Answer:
c is 13
Step-by-step explanation:
trust me bro
* Approximate the value of V5 to the nearest hundredth.
Answer:
2.24
Step-by-step explanation:
If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24
I'm going to assume you mean √5.
√5 is not a perfect square but it can evaluated into a non-terminating decimal.
√5 = 2.23606797...
Round to the nearest hundredth.
2.23606797... → 2.24
Therefore, the answer is 2.24
Best of Luck!
Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.
A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft
Answer:
2 1/3 ft^2
Step-by-step explanation:
Take the area of the rectangle
A = l *w
4 * 1 1/6
4 * 7/6
28/6
Divide this in half since the rectangle is cut in half by using the diagonal
28/6 *1/2
28/12
7/3
Changing to a mixed number
2 1/3
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.
Hope this helps!
A tablet manufacturer tested 125 tablets and found that 2 had broken screens. how many broken screens should the manufacturer expect out of 45000 tablets?
Answer:
720
Step-by-step explanation:
125tablets, 2 of which had broken screens.
multiply 45000 by 2, then divide 125=720
Answer:
720
Step-by-step explanation:
125 tablets, 2 of which had broken screens.
Multiply the 45,000 by 2, then divide by 125.
So therefore, the answer is 720.
The number of cameras produces since May at a plant can be modeled by the function N(m)=50m+600 and the cost per camera can be modeled by C(m)=4m^2-15m+45, where m is the number of months since May. According to this model, what is the total amount of revenue generated by the plant's camera production on September?
Answer:
39200
Step-by-step explanation:
Revenue = number of cameras * cost
R(m) = N(m) * C(m)
= (50m+600) * (4m^2-15m+45)
The months since may is June July August September = 4 months
R(4) = (50*4+600) * (4*4^2-15*4+45)
(200+600) * (64-60+45)
800*49
39200
Answer:
39,200
Step-by-step explanation:
September is 4 months after may, so m = 4
No. of cameras:
N(4)=50(4)+600 = 800
Cost per camera:
C(4)=4(4²)-15(4)+45 = 49
Total cost:
N × C
800 × 49
39200
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$93,996
Step-by-step explanation:
i = prt
i = ($53,712)(.15)(5)
i = $40, 284
$40, 284 + $53,712
$93,996
Answer:
$92996
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 53712 × 15/100 × 5
I = $40284
He has = 40284 + 53712 = $93996