Answer:
286 mm²
Step-by-step explanation:
A trapezium is given with ,
Parallel sides = 24mm , 28 mmHeight = 11mm .The area is given by :-
[tex]:\implies[/tex] Area = 1/2 ( b₁ + b ₂) × h
[tex]:\implies[/tex] Area = 1/2 ( 24 + 28)×11 mm²
[tex]:\implies[/tex]Area = 1/2 × 52× 11mm²
[tex]:\implies[/tex] Area = 286 mm²
Hence the area of the trapezium is 286 mm².Anyone know how to do this?
How many solutions does the system have ?
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
Which graph represents the solution to the system of equations?
y = 2x + 5
y = 1/3x - 2
(See Picture)
Answer: Second answer first row
How to: Graph
Have a great day and stay safe !
what's the volume of a sphere
Share 68 in the ratio 8:9
Answer:
32 and 36
Step-by-step explanation:
8+9=17
8/17×68=32
9/17×68=36
Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 units2
Answer:
Option D
Step-by-step explanation:
Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)
Measure of AB = 7 - 1 = 6 units
Measure of BC = 7 - 3 = 4 units
Measure of CD = 7 - 4 = 3 units
From the figure attached,
Area of the trapezoid = [tex]\frac{1}{2}(AB+CD)(BC)[/tex] [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]
= [tex]\frac{1}{2}(6+3)(4)[/tex]
= 18 square units
Therefore, Option D will be the correct option.
The expression x4 - 16 is equivalent to
Answer:
4(x-4)
Hope this helps
Have a good day :)
Step-by-step explanation:
Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for $1.70 per pound . One customer brought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes. How much money did Luther earn in all from that sale ?
Total revenue= $32.13
Tanvi's favorite holiday activity is making gingerbread houses. She always uses 7 pieces of licorice to make a window. This year, Tanvi used 56 pieces of licorice for the windows on her gingerbread house. How many windows are on tanvi gingerbread house this year
Claudio needs to buy gifts for 8 friends. He wants to give the same gift to all his friends and he plans to have the gifts wrapped for an additional charge of $1.50 each. If Claudio spends at least $70, he will receive free shipping on his order. Write and solve an inequality to determine how much Claudio needs to spend on each gift in order to receive free shipping.
Answer:
7.25
Step-by-step explanation:
In the question, the term at least means less than or equal to is represented by ≥
Let the cost of each gift = c
He is buying gifts for 8 friends = 8 gifts
Hence, our Inequality equation is written as:
(c + $1.50)× 8 ≥ $70
8c + 12 ≥ 70
8c ≥70 - 12
c ≥ 58/8
c≥ 7.25
Therefore, the amount Claudio needs to spend on each gift in order to receive free shipping is 7.25
y = f(x) = 3
Find f(x) when x = -2
Answer: 5
Step-by-step explanation: y=f(x)=3
y=f-2=3
y=f=3+2
y=f=5
f=5
Straight line A has the equation y = 3x + 2. Find the equation of the line parallel to A and goes
through the point (3,8)
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (3, 8 ) into the partial equation
8 = 9 + c ⇒ c = 8 - 9 = - 1
y = 3x - 1 ← equation of parallel line
PLS HELP!!! WILL GIVE BRAINLIST!!!
PLEASE HELP DUE IN A FEW MINUTES, LIKE LITERALLY 5 MINUTES, 69 POINTS FOR THE FIRST THREE OT FOUR
calculate the magnitude of each of the unknown angles
Answer:
a. x =145
b. a = 75 c=75 b= 105
c. y= 115
d. z = 105
Step-by-step explanation:
a. half a circle equals 180 degrees, subtract 35 from 180 gives u the answer
b. full circle equals 360 degrees, angle 105 is congruent to b meaning b is also 105. Leaving us with 150 degrees, divide 150 by 2 giving 75 to both a and c.
c. add 160 and 85 gives us 245 then subtract that from 360 giving us 115.
d. again half a circle equals 180. subtract 75 from 180 gives us 105
Answer:
Hello!
a: x = 145
b: b = 105 c = 75 a = 75
c: y = 115
d: z = 105 not to sure for question d so put that at your own risk everything else im sure about
Find the measure of one interior angle in the regular polygon.
a: 125°
b: 180°
c: 130°
d: 150°
fast answers pls!!!
29. (09.04 MC)
Using the following equation, find the center and radius:
x2 + 2x + y2 + 4y = 20 (5 points)
The center is located at (1, 2), and the radius is 25.
The center is located at (-1, 2), and the radius is 25.
The center is located at (-1, -2), and the radius is 5.
The center is located at (1, 2), and the radius is 5.
Answer:
The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
The general equation of a circle is given as
(x - a)^2 + (y - b)^2 = r^2
where
a and b are the centre of the circle and r is the radius
Given the equation
x2 + 2x + y2 + 4y = 20
add 1 ad 4 to both sides
x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1
factorise
(x +1)^2 + (y+2)^2 = 5^2
comparing with the general equation
a = -1, b = -2, r = 5 (all measured in units)
Answer: The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?
a) Make t the subject of the formula
[tex]( \sqrt{t + 2) \div u = 1} [/tex]
need help please to pass
Answer: None of the other answers are correct
Step-by-step explanation: Hope this help :D
Find the value of x in each figure
Answer:
20...90°-46°
=44°
therefore 44÷4
=11
therefore x=11
21....90°-20°
=70°
70-15
=55
therefore x=55°
22...90°÷3
=30
THEREFORE X=30°
Plzzzz help me
In indirect variation if y = 5 and x = 10, what is the value of k (the constant)?
y=kx
5=10k
k=10-5
k=5 is the correct answer
SOLVE FOR X, IN FRACTION FORM, DONT NEED TO SHOW WORK PLEASEE HELP
Answer:
x = 10
Step-by-step explanation:
Since you said don't explain, I'll show minimal work:
ΔABC and ΔADE are similar (Thales Intercept Th.)
Proportion:
[tex]\frac{AB}{AD} = \frac{BC}{DE}[/tex]
[tex]\frac{x}{x + 10} =\frac{8}{16}[/tex]
[tex]8x + 80 = 16x[/tex]
[tex]8x = 80[/tex]
[tex]x = 10[/tex]
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️Find the volume of a right rectangular prism with length 10 in., width 6 in., and height 5 in. Round to the nearest tenth, if necessary.
Answer:
300 cubic inches
Step-by-step explanation:
V = lwh
V = 10(6)(5)
V = 300
Dena said, "To find 20% of a number, I should multiply by 0.20. So the sale price of an item will be 0.20p."
Which statement best describes Dena's reasoning?
1. Dena is correct.
2. Dena needs to subtract 0.20p from the regular price=p.
3. Dena should calculate the sale price as 20p and then divide by 100.
4. Dena is trying to solve a inconceivable problem because it doesn't mentions what the regular price is.
In the figure below, points D, E, and F are the midpoints of the sides of LABC,
Suppose DF=34, AC=48, and BC=78.
Find the following lengths.
Answers:
DE = 39AB = 68BE = 34=============================================================
Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
-------
DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
-------
BE = 34 for two reasons
Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent. E is the midpoint of AB, so BE is half as long as AB--------
We don't use the info that AC = 48.
Amy runs 2 miles in 30 minutes enter the number of minutes it takes Amy to run 7 miles at this rate.?
Answer:
Step-by-step explanation:
Amy is running 1 mile every 15 minutes, so 15*7 will give you your answer, which is 105. Divide 105 by 60 to convert into hours, which is 1 hour and 15 mins.
Answer:
1.75 hours
1 hour and 45 minutes
Step-by-step explanation:
[tex]\frac{7}{y}: \frac{2}{30}[/tex]
y · 2 = 30 · 7
2y = 210
2y ÷ 2 = 210 ÷ 2
y = 105
1 hour = 60 minutes
y hours = 105 minutes
[tex]\frac{1}{60}: \frac{y}{105}[/tex]
y · 60 = 105 · 1
60y = 105
60y ÷ 60 = 105 ÷ 60
y = 1.75
What is the surface area of the right rectangular prism below? 25030 A. 130 in.2 B. 154 in.2 C. 308 in.2 D. 312 in.2
Answer:
Do you have a picture? Or any of the measurements?
Mrs. Murphy's students measured their pencils. She made this line plot to show the data. Mrs. Murphy told the students that they should get a new pencil if their pencil length was 4 inches or shorter. How many students will need new pencils?
Answer:
8 students
Step-by-step explanation:
Line Plot is a graph that presents data through number line. Here, possible values of considered variable are on number line, & their frequency is denoted by number of dots or crosses above.
As per given line plot for pencils height : pencil height 3 with 3 students, pencil height 4 with 5 students , pencil height 5 with 3 students
So, students having pencil height < 4, ie = 3 & 4 , are 3 + 5 [ total 8 ] students]