Answer:
72 square units.
Step-by-step explanation:
To find the area of the figure, we just need to find the area of the whole trapezoid and subtract the area of the small rectangle.
First, for a trapezoid of bases B₁ and B₂, and of height H, the area is:
A = (1/2)*(B₁ + B₂)*H
In the case of the image, the bottom base is 15 units long (each small square is a unit).
B₁ = 15 units
And the top base is 5 units long:
B₂ = 5 units
And the height is 10 units long.
H = 10 units.
Then the area of the trapezoid is:
A = (1/2)*(15 units + 5 units)*10 units = (1/2)*(20 units)*10 units
A = 100 square units.
The area of a rectangle of length L and width W is:
A' = W*L
In the graph we can see that:
L = 7 units
W = 4 units
A' = (7 units)*(4 units) = 28 square units.
Then the area of the figure is:
Area = A - A' = 100 square units - 28 square units = 72 square units.
List the members of each of the following sets: IF U = {0, 1, 2…..9} A= {0, 2, 4, 6, 8} B= {1, 3, 5, 7, 9} C= {1, 2, 3, 8} D= {4, 5, 6, 7} , Find A U C
Answer:
AUC={0,1,2,3,4,6,8}
hope it helps.
stay safe healthy and happy.C = {1, 2, 3, 8}
A U C = {0,1,2,3,4,6,8}
Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 110 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
train A speed = 95 mph
train B speed = 105 mph
they are travelling towards each other
so effective speed = 200 mph.
distance = 360 miles
t= d/r
t=360/200
time = 1.8 hours they will meet
Someone pleaseeee answer
Answer:
A
Step-by-step explanation:
We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.
5x ≥ 0 implies that x ≥ 0x + 3 ≥ 0 implies that x ≥ -3Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.
2(a-b)
plz give me answer
Step-by-step explanation:
2(a-b) its yr question2 & (a-b)is in the form of multiplyso, first multiply a by 2 it becomes 2a and - sign is greater so, it will be - as it is then multiply b by 2 it becomes 2bnow write yr ans =2a-2bstay safe healthy and happy.Answer:
2a-2b
Step-by-step explanation:
2(a-b) use distributive property
2a-2b
hope this helped :)
Which group of numbers is listed from least to greatest?
-6, |-3|, -3, 6, |-9|
-8, |-5|, -4, |3|, 6
-4, |-2|, |3|, 5, |-7|
|-6|, -4, |-2|, -1, 0
Answer:
1.) -6, |-3|, -3, 6, |-9| __ |-9|, -6, -3,|-3|, 6
2.) -8, |-5|, -4, |3|, 6 __ -8, |-5|, -4, |3|, 6
3.) -4, |-2|, |3|, 5, |-7| __ |-7|, -4, |-2|, |3|, 5
4.) |-6|, -4, |-2|, -1, 0 __ |-6|, -4, |-2|, -1, 0
Step-by-step explanation:
2.) -8, |-5|, -4, |3|, 6 __ -8, |-5|, -4, |3|, 6
4.) |-6|, -4, |-2|, -1, 0 __ |-6|, -4, |-2|, -1, 0
Both are listed from least to greatest
A high-school club has members the ratio of males to females is 5 to 3 how many males are in the club
Answer:
it depends on how many females are there
Step-by-step explanation:
I need to know how many females are there
Answer: If there are x total members, then the number of males is 5/8x
In New York City, a local park is located at (3,-4). Susan runs from the park to a healthy smoothie spot at (3,4) and then to her house at (0,-1). Represent the locations as points on a coordinate grid with a unit of 1 mile.
A)What is the distance from the local park to the healthy smoothie spot?
B)Find the area of this figure.
A lawn is in the shape of a regular pentagon. It is made from 5 pieces of turf that are congruent triangles. Each triangle has an area of 19 in.2. What is the area of the lawn?
Answer:
The answer is 95 in^2
Step-by-step explanation:
The lawn is made up of 5 congruent triangles.
Since we know the area of the triangles we can add or multiply them.
5 * 19 = 95 so the area is 95 in^2
Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.
Answer:
The triangles are not similar.
Step-by-step explanation:
Look at ratios of corresponding sides. If the triangles are similar, all the ratios will be equal.
Compare a side from [tex]\triangle{RTS}[/tex] with a side from [tex]\triangle{MQP}[/tex].
16/20 = 4/5
12/15 = 4/5 (looks promising, so far!)
20/26 = 10/13 Not at all the same as 4/5, so the triangles are not similar.
How would you move the green shape exactly over the gray shape using the
fewest moves? Check only necessary moves.
A. Turn
B. Flip
C. Slide
E PREVIOUS
Ummm does anybody know what this means ??
Answer: I suppose you have to include a photo of you work for the assignment.
Can someone help me please
Answer:
its A
Step-by-step explanation:
it is a because its -9 down and 7 to the right
I need help on this help pls!
Step-by-step explanation:
Area of rectangle= l x b
= 245 x 245
=60025
Area of triangle = (1/2) x b x h
=(1/2) x 245 x 245
=30012.5
Area of shaded part = Area of rectangle - Area of triangle
=60025 - 30012.5
=30012.5
Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?
Answer:
They will both have a height of 16 inches in 4 days.
Step-by-step explanation:
Hope this helps :D
question is in the screenshot below
What two numbers multiply to the value of -10 and add to the value of -3
Answer:
-5 and 2
Step-by-step explanation:
-5+2=-3
-5*2=-10
Sigmund picked a pair of socks out of his drawer without looking in the drawer. Sigmund has 3
pairs of black dress socks, 4 pairs of brown dress socks, 3 pairs of black sport socks, and 5
pairs of white sport socks. What is the probability that Sigmund will select a pair of black socks or a pair of sport socks?
Answer:
The chance of getting a pair of black socks is 73.33%
Can someone Please help me find the area of the square I already know the perimeter.
Answer:
36
Step-by-step explanation:
6 x 6= 36
Tyler is trying to pick out an outfit for the first day of school. He can choose from 3 pairs of pants, 7 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Tyler have to choose from?
Answer: he can choose from three combinations
Step-by-step explanation: since three is the lowest number it can be paired with three others combinations
The number of different outfits Tyler choose is equal to 840
How to determine the number of different outfits?From the question, we have the following parameters that can be used in our computation:
Given 3 pairs of pants, 7 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.
Thus, the number of different outfits is the products of the count of each apparel.
This is represented as;
Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes
Substitute the known values in the above equation;
Different outfits = 3 x 7 x 8 x 5
Evaluate;
Different outfits = 840
Hence, there are 840 different outfits
Read more about combination at
brainly.com/question/11732255
#SPJ2
Solve for x. Assume lines that appear to be tangent are tangent.
21
10
9
HELP PLEASEEE!!! Which technique is most appropriate to use to solve each equation?
Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one
Step-by-step explanation:
i need help for this questinon
Answer:
A
Explaination: you are just rotating the rhombus
Answer:
a. Rhombus ABDC is congruent to rhombus A'B'C'D
Step-by-step explanation:
the area/angles of ABCD did not change after rotation(becoming A'B'C'D)
At Dairy Freeze, 2 of the last 10 sundaes sold had nuts. Considering this data, how many of the next 20 sundaes sold would you expect to have nuts?
Answer: 4
Step-by-step explanation:
By finding the relative frequency, we will see that we can expect that 4 out of the next 20 sundaes will have nuts.
How many of the next 20 sundaes can we expect to have nuts?
First, we know that 2 out of the last 10 sundaes sold had nuts. So the relative frequency of sundaes with nuts is:
R = 2/10 = 0.2
(the quotient between the number of sundaes with nuts and the total number of sundaes)
Then, out of the next 20 sundaes, we can expect that the number of sundaes with nuts will be:
N = R*20 = 0.2*20 = 4
If you want to learn more about relative frequency, you can read:
https://brainly.com/question/3857836
PLEASE hello please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9
FOLLOW ME ON TWITCH 1mr46n0ob1
Help pls!!!!!!!!!!!!!!
Answer:
46°
Step-by-step explanation:
tan Ф = 21/20
Ф = tan-1 (21/20)
= 46°
Which expression is not a trinomial?
A. x^4+x-2
B. 3x^3 +3^3
C. 2x^3 + x^2 - 4x - 2x^3 +1
D. x^2+x+1
Answer:
Option D.
Its a Polynomial or Binomial of index 2
-3x + 6 - (-5) + 7x
Simplify it
3x+6-[-5]+7x
=3x+6+5+7x
= 3x+7x=6+5
=10x=11
=x=11/10
SO,
x=11/10
Answer:
4x+11
Step-by-step explanation:
-3x+7x +6+5
4x+11
can someone help?
The perimeter of the triangle is 45cm.
Calculate the length of the hypotenuse.
I try it
Answer:
28.36
Step-by-step explanation:
Perimeter = 45
Perimeter = 2x + 3 + x + 6x + 1
2x + 3 + x + 6x + 1 = 45
9x + 4 = 45
9x = 45 - 4
9x = 41
X = 41/9
X = 4.56 or 4.6 (base on how may decimal places)
Hypotenuse
=6x + 1
= 6(4.56) +1
=38.36
Or
Hypotenuse
=6x +1
= 6(4.6) +1
=28.6
Daily Common
Core Review
15-2
pns.
5. Which is the greatest length: 2 miles,
4,112 yards, or 167,616 inches?
Answer:
4,112 yards
Step-by-step explanation:
because I said so