Answers
Answer:
33 square units
Step-by-step explanation:
Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.
Area of the rectangleThe area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.
Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.
Substituting in the values, we get:
[tex]A = (6)(4)\\A = 24[/tex]
The area of the rectangle is 24 square units
Area of the trianglesThe area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].
The base of each triangle is 3, and the height of each triangle is also 3.
Substituting in the values, we get:
[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]
The area of each triangle is 4.5 square units
Area of the polygonTo get the area of the polygon, we simply add up the area of the rectangle and both triangles
[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]
The total area of the polygon is 33 square units.
Related Questions
Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12
Answers
Answer:
A
Step-by-step explanation:
Slope-intercept form: y=mx+b
2x+3y = 12
3y = 12-2x
y = (12-2x)/3
y = 4-2/3x
Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.
Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
Answers
then 2x + 6 = the larger angle
Since they are comlementary, then their sum is 90°
smaller angle + larger angle = 90°
(x) + (2x+6) = 90
3x + 6 = 90
3x = 84
x = 28 (this is the smaller angle)
the larger angle is 2x + 6 = 2(28) + 6 = 56 + 6 = 62
If you go to New Buffalo ice cream shop "Oinks" they have 48 ice cream flavors to choose from. Your parents say you can choose one ice cream flavor and pick one of the 12 toppings, how many different ice cream sundaes could you create?
576
517
69,668,534,468
60
Answers
Answer:
576
Step-by-step explanation:
just multiply 48 by 12
Answer:
576
Step-by-step explanation:
48 ice cream flavors
12 toppings
48 x 12 = 576
carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in february that carlos walked to school?
Answers
Answer:
14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70
Step-by-step explanation:
Help me find the answer
Tan 0 and Cot O
Answers
Answer:
Step-by-step explanation:
we can say the angle is also +45° going in the clock wise direction. so take Tan(45)= 1
Cot(45) = 1
b/c Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2) ofc that's just 1
b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1
Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week
Answers
Answer: 280 minutes
Step-by-step explanation:
Given
Expression is [tex]7\times (15+25)[/tex]
Apply distributive law i.e.
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]
Thus, theo dog took 280 minutes each week
A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?
Answers
Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
si
Step-by-ste
SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence
Answers
Answer:
Self esteem hope this helps
Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!
Answers
Answer:
2x=80°
x=40°
40°+20°=60°
Step-by-step explanation:
all triangles are 180°
Tell me which lines to which plz
Answers
Answer:
cereal bowl- 2 cups
baby food jar- 4 fluid ounces
soda can- 12 fluid ounces
swimming pool- 1000 gallons
large can of paint- 1 gallon
Which of the following expressions is this one equivalent to?
(x4 – 2x3 – x+2) / (x3 - 1)
A. X-2
O B. x2-1
O c. x2+x+1
O D. x2 + 3x + 2
Answers
Answer:
option A
Step-by-step explanation:
(X - 2) is the answer
hope it helps
What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{(-2)^3=\bf -8}[/tex]
[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{-8(9)= \bf -72}[/tex]
[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]
[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]
[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]
[tex]\mathsf{-2^2=\bf 4}[/tex]
[tex]\mathsf{= -12+4(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= -12+4(9)}[/tex]
[tex]\mathsf{4(9)= \bf 36}[/tex]
[tex]\mathsf{-12 + 36 = \bf 24}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50
Answers
PLEASE HELP FAST!!!!!!!!!
Answers
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.
Answers
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?
Answers
Answer:
$160.14
Step-by-step explanation:
15% of 174.45 = 26.16
174.45 - 26.16 = 148.28
8% of 148.28 = 11.86
148.28 + 11.86 = 160.14
The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm
Answers
Answer:
look it up because found the correct answer there
Step-by-step explanation:
hi i need help with this question asap ty ty ty!!!
Answers
Please help due soon!!
Answers
Answer: [(3/4)π] in² or (0.75π) in²
Step-by-step explanation:
Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)
--------------------------------------------------------------
Given
r=3 in
θ=30°
Solve
A=πr²(θ/360)
A=π(3)²(30/360)
A=9π(1/12)
A=[(3/4)π] in²
A=(0.75π) in²
Hope this helps!! :)
Please let me know if you have any questions
What is the slope-intercept equation for the following line?
Answers
Answer:
y = 2x + 7
Step-by-step explanation:
ALgebra is my best subject! Have a good day!
PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?
There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.
Answers
Answer:
the answer is
Step-by-step explanation:
There are more students in biology than students in geometry.
The following statements does not support the given venn diagram:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
What are Venn diagrams?
The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.
In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.
Solution:
If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:17₊ 22 ₊8 = 47
The result of the addition operation is not equal to the number of students, hence it does not support to the statement.
If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:17 ₊ 22 = 39
The result of the addition operation is equal to the number of students, hence it supports the statement.
If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:17 ₊ 8 = 25 and 8 ₊ 22 = 30
where, 25 < 30
Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.
If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:22 ₊ 8 = 30
30 > 17
Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.
So the following statements does not support the venn diagram given:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
Learn more about "Venn diagrams" here-
brainly.com/question/2099071
#SPJ2
I need help I don’t understand
Answers
Answer:
x = 9
Step-by-step explanation:
By the property of intersecting secants:
[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]
How can you determine the part of an hour that is 15 minutes?
Answers
Answer:
You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.
Step-by-step explanation:
SOMEONE PLEASE HELP MEEE!!!
Answers
Answer: 1080
Step-by-step explanation:
Heres why:
SA is L*W*H as the same formula as volume.
What’s the area of the polygon?
Answers
Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
Separate it into 2 parts:
The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.
7 x 6 = 42 in^2
The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.
11 x 6 = 66 in^2
Total:
66 + 42 = 108 in^2
Answer:
108 [tex]in ^2[/tex]
Step-by-step explanation:
This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).
Starting with the top-right rectangle:
We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:
[tex]l=12-6=6[/tex] in
Now that we know l and h, we can evaluate the area of the first rectangle, which is
[tex]A= 6 *4= 24[/tex] in^2
Now for the bottom rectangle:
We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:
[tex]A=12*7=84[/tex] in^2
Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,
[tex]A=24+84=108[/tex] in^2
QED
Will give brainist help!!!
Answers
Answer:
A
Step-by-step explanation:
The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?
Answers
Answer:
The question has a picture attached of both rectangular prisms which I have attached and solved.
Answer: 1320 cm³
Step-by-step explanation:
top prism = 5×12×10=600
lower prism = 15×12×(15-10) = 720
Adding both volumes
720 + 600 = 1320 cm³
Which linear equation represents the table shown below?
~ y=6x+2
~ y=x+4
~ y=4x+2
~y=4x-2
Answers
You figure this out by just substituting the x and y values into the equation to check if it works
In the coordinate plane below, quadrilateral PQRS is reflected over the x-axis. Which segment is segment QR congruent to?
Answers
Answer:
Q'R'
Step-by-step explanation:
Given
Quadrilateral PQRS
Reflected over x-axis
Required
Congruent side to QR
This question has a missing attachment, but can still be solved without the attachment.
When a shape is reflected, the sides and the angles of the shape remain unchanged.
This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.
[tex]PQ = P'Q'[/tex]
[tex]QR = Q'R'[/tex]
[tex]RS = R'S'[/tex]
[tex]SP = S'P'[/tex]
Hence, QR will be congruent to Q'R'
Calculate the area of the shape below:
6 in
6 in
12 in
O 54 in?
0 432 in?
O 216 in
O 108 in?
Answers
Answer:
54
Step-by-step explanation:
The square in the middle = 36, as 6x6=36
There are 2 triangles on each side of the center square.
Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.
3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2
18x1/2 is 9.
Each triangle equals 9.
36+9+9=54
The final answer is 54