Answers
Answer:
b - 100 cm²
c - 45.5 cm²
Step-by-step explanation:
Hello There!
For b - The following figure shown is a trapezoid with the dimensions
height = 10cm
longer base = 12cm
shorter base = 8cm
We can calculate the area of a trapezoid using this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b are bases and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{8+12}{2} 10\\8+12=20\\\frac{20}{2} =10\\10*10=100[/tex]
so we can conclude that the area of figure b is 100 cm²
for a
The figure shown is an irregular shape so to calculate the area we're going to want to divide the irregular shape into two regular shapes
a rectangle with the dimensions:
width = 7 cm
length = 8cm (total height of irregular figure) - 3cm (height of the triangle)
8cm-3cm=5cm so the length of the rectangle is 5cm
a triangle with the dimensions:
base (length) = 7cm
height = 3cm
Now lets find the area of each shape
for the rectangle:
the area of a rectangle can simply be found by multiplying the length and width
7 * 5 = 35 so the area of the rectangle is 35 cm²
for the triangle:
the area of a triangle can be found using this formula
[tex]A=\frac{1}{2} bh[/tex] where b = base and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{1}{2} 3*7\\3*7=21\\\frac{21}{2} =10.5[/tex]
so we can conclude that the area of the triangle is 10.5 cm²
finally we add the two areas of the regular shapes
10.5 + 35 = 45.5 cm²
In conclusion the area of the figure is 45.5 cm²
Related Questions
need help geometry question
Answers
Answer:
okay the answer 13.02 enjoy
Given the quadratic function
Answers
The vertex is (-4,-3)
The axis of symmetry is x=-4
and the transformations are:
An escalator lifts people to the second floor of a building, 21 ft above the first floor. The escalator rises at a 30° angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answers
Answer:
42
Step-by-step explanation:
Sin 30=21/H
H=21/sin 30
H= 42
Helppp plz!
Find y to the nearest hundredths place.
Answers
Answer:
B) 2.27
Step-by-step explanation:
Height = 2×Area /m = 2.27444. Then round down, as 4 is less than 5.
Which of the following pairs consists of equivalent fractions?
9/12 and 2/3
4/10 and 10/4
9/24 and 21/56
3/4 and 4/5
Answers
Answer:
The answer is C have a nice day.
Cual es el decimal del 3%
Answers
Answer:
0.03
Step-by-step explanation:
The question is in the graph. Please help.
Answers
Answer:
A I think
Step-by-step explanation:
because if you add them up.
Answer:
Aprox. 216 days
Step-by-step explanation:
Add the counts of the green bar(5-10mm) and the brown bar (0-5mm).
The brown is roughly 130 and the green is roughly 80, which is approx 216 days.
If i helped, a brainliest answer would be greatly appreciated!
Find the midpoint of AB for: A(7,0)|and B(0,3)
Answers
Answer:
[tex]\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}[/tex]
Step-by-step explanation:
The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.
The formula is:
[tex](\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).
Therefore,
[tex]x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3[/tex]
Substitute the values into the formula.
[tex](\frac {7+0}{2}, \frac{0+3}{2})[/tex]
Solve the numerators first.
[tex](\frac {7}{2}, \frac{3}{2})[/tex]
The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.
[tex](3.5, 1.5)[/tex]
Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck
Answers
Answer:
2/10 or 1/5
Step-by-step explanation:
There are a total of 10 ducks, and only 2 have green dots.
So the probability would be 2 / 10, which simplifies to 1 / 5.
Greatest common factor of 2 and 10: 2
So: 2 ÷ 2 = 1
10 ÷ 2 = 5
pls help!!
Find h. 10 cm h h = ✓ [?] cm .... 6 cm Enter
Answers
Answer:
h = √91 cm
Step-by-step explanation:
Apply pythagorean theorem, a² + b² ° c².
Where,
a = ½(6) = 3 cm
b = h
c = 10 cm
Plug in the values
3² + h² = 10²
9 + h² = 100
9 + h² - 9 = 100 - 9
h² = 91
h = √91 cm
Answer:
Step-by-step explanation:
which statement best explains how Italian society was affected by the Renaissance?
Answers
italian society entered a new era of artistic and academic achievement
Which expression is equal to x−5x2+3−x2−x+4x2+3 ?
Answers
the third option. I think
Erin has a rectangular blanket measuring 60 inches by 84 inches. She wants to sew a fringe border around the perimeter of the blanket. How many yards of fringe does she need to purchase?
Answers
Answer:
96 i think
Step-by-step explanation:
I Hope This Helps!
Work out m and c for the line:
y = 2 x + 1
Answers
Answer:
m=2
c=1
Step-by-step explanation:
y=mx+c
m=slope
c=y-intercept
y=2x+1
i don’t know how , help me pleaseeeee
Answers
Answer:
-3
Step-by-step explanation:
hopes that it helps you out
Grade 12 Number Patterns:
The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term of both sequences is 1, determine:
1.) the first three terms of the geometric sequence if r > 1
2.) the sum of 7 terms of the geometric sequence if the sequence is 1, 5, 25
Answers
Answer:
1. The first three terms of the geometric sequence are 1, 5, 25
2. Sum of the 7th terms of the geometric sequence is 19531
Step-by-step explanation:
We'll begin by calculating the common ratio (r). This can be obtained as follow:
For Arthmetic sequence:
First term (a) = 1
3rd term (T₃) = a + 2d
3rd term (T₃) = 1 + 2d
13th term (T₁₃) = a + 12d
13th term (T₁₃) = 1 + 12d
For Geometric sequence:
First term (a) = 1
2nd term (T₂) = ar
2nd term (T₂) = 1 × r
2nd term (T₂) = r
3rd term (T₃) = ar²
3rd term (T₃) = 1 × r²
3rd term (T₃) = r²
From the question given above,
The first term of the arithmetic sequence is also the first term of the geometric sequence.
The 3rd term of the arithmetic sequence is the 2nd term of the geometric sequence i.e
3rd term (T₃) = 2nd term (T₂)
1 + 2d = r
The 13th term of arithmetic sequence is the 3rd term of the geometric sequence i.e
13th term (T₁₃) = 3rd term (T₃)
1 + 12d = r²
SUMMARY:
1 + 2d = r .... (1)
1 + 12d = r²..... (2)
Substitute value of r from equation 1 into equation 2
1 + 12d = (1 + 2d)²
1 + 12d = 1 + 2d + 2d + 4d²
1 + 12d = 1 + 4d + 4d²
Rearrange
1 – 1 + 4d – 12d + 4d² = 0
–8d + 4d² = 0
4d² – 8d = 0
4d(d – 2) = 0
d = 0 or 2
Since the common difference (d) can not be 0, thus, is 2
Substitute the value of d into equation 1
1 + 2d = r
d = 2
1 + 2(2) = r
1 + 4 = r
r = 5
Thus, the common ratio (r) is 5
1. Determination of the first three terms of the geometric sequence.
First term (a) = 1
Common ratio (r) = 5
2nd term (T₂) = ar
2nd term (T₂) = 1 × 5
2nd term (T₂) = 5
3rd term (T₃) = ar²
3rd term (T₃) = 1 × 5²
3rd term (T₃) = 1 × 25
3rd term (T₃) = 25
Thus, the first three terms of the geometric sequence are 1, 5, 25
2. Determination of the sum of 7th terms of the geometric sequence .
1, 5, 25
First term (a) = 1
Common ratio (r) = 5
Number of term (n) = 7
Sum of the 7th term (S₇) =?
Sₙ = a[rⁿ – 1]/r – 1
S₇ = 1[5⁷ – 1]/5 – 1
S₇ = [78125 – 1]/4
S₇ = 78124 / 4
S₇ = 19531
Thus, sum of the 7th terms of the geometric sequence is 19531
can someone one example please?
Answers
Answer:
A. 4 and 5
Step-by-step explanation:
You know that 4^2 is 16 and 5^2 is 25. [tex]\sqrt{16}[/tex] is 4 and [tex]\sqrt{25}[/tex] is 5, so [tex]\sqrt{20}[/tex] must be somewhere in between 4 and 5.
give the simplest ratio for 56 :7
Answers
Answer and Step-by-step explanation:
The simplest ration would be 8 : 1, because both numbers are divisible by 7.
56 divided by 7 is 8, and 7 divided by 7 equals 1.
#teamtrees #PAW (Plant And Water)
You don’t have to answer both. Will give brainliest if you help.
Answers
9514 1404 393
Answer:
15) 27
16) 6144
Step-by-step explanation:
15) Jill's sequence is exponential:
3 9 27 81 243
Marlando's sequence is linear:
15 21 27 33 39
The first number in both patterns is 27.
__
16) The number of cards ordered is ...
(256 pkgs)(24 cards/pkg) = 6144 cards
6y-5=7 two step equations
Answers
Answer:
The answer is y = 2.
Step-by-step explanation:
1) Add 5 to both sides.
[tex]6y = 7 + 5[/tex]
2) Simplify 7 + 5 to 12.
[tex]6y = 12[/tex]
3) Divide both sides by 6.
[tex]y = \frac{12}{6} [/tex]
4) Simplify 12/6 to 2.
[tex]y = 2[/tex]
Thus, the answer is y = 2.
The value of y in 6y-5=7 is 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
6y-5=7
Now, solving for y
Add 5 both side
6y-5 + 5=7 +5
6y= 12
Now, divide both side by 6
6y/6 = 12/6
y= 2
Hence, the value of y is 2.
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ2
A trucker wanted to track how long it took to reach omaha . when she started out her dock read 8:00AM . After reaching omaha the clock read 2: 00 PM . How many hours did it take this trucker to reach omaha
Answers
Please answer asap I need help
Don't take points or I will report
Do good and I will mark branist
There 5 photos
Answers
Answer:
1. 1/2
2. 20, 40
3. 31/40
4. 1/4 inches
5. A, B, C
6. 5/12
Review Fractions:
1) 1/2x7/10
2) 2/4x2/3
3) 1/10x1/2
4) 1/10x1/2
5) 1/2x6/10
Answers
Answer:
1) 7/20
2) 1/3
3)1/20
4)1/20
5) 3/10
Step-by-step explanation:
Answer: 1) 7/20
2) 1/3
3) 1/20
4) 1/20
5) 3/10
Step-by-step explanation: 1) because we are multiplying fractions all we have to do is multiply the fractions numerator by numerator and denominator by denominator so 1x8=7 and 2x10=20 so 1/2x7/10=7/20
2) 2x2=4 4x3=12 so 2/4x2/3=4/12 now we can simplify so 4 divided by 4=1 and 12 divided by 4=3 so 1/3
3) 1x1=1 10x2=20 so 1/10x1/2=1/20
4) 1x1=1 10x2=20 so 1/10x1/2=1/20
5) 1x6=6 2x10=20 so 1/2x6/10=6/20 so now we have to simplify so 6 divided by 2=3 and 20 divided by 2=10 so 3/10
plz mark me brainliest
PLEASE HELP ITS AN EMERGENCYYYYYYYYYY!!!
Given f(x) = 3x^3 - 4x + k, and x – 1 is a factor of f(x), then
what is the value of k?
Answers
Answer:
The value of k is 1.
Step-by-step explanation:
x – 1 is a factor of f(x)
This means that:
x - 1 = 0
x = 1
That means that when [tex]x = 1, y = 0[/tex]. We use this to find the value of k.
f(x) = 3x^3 - 4x + k
[tex]3*1^3 - 4(1) + k = 0[/tex]
[tex]3 - 4 + k = 0[/tex]
[tex]k = 1[/tex]
The value of k is 1.
HELP PLSSSSSS ITS TIMED
Determine any data values that are missing from the table, assuming that the data represent a linear function.
Answers
The IRS wants to develop a method for detecting whether or not individuals have overstated their deductions for charitable contributions on their tax returns. To assist in this effort, the IRS supplied data found in the file IRS.xlsx that accompanies this book listing the adjusted gross income (AGI) and charitable contributions for 11 taxpayers whose returns were audited and found to be correct.
Required:
a. Prepare a scatter plot of the data. Does there appear to be a linear relationship between these variables?
b. Develop a simple linear regression model that can be used to predict the level of charitable contributions from a return's AGI. What is the estimated regression equation?
c. Interpret the value of R2.
d. How might the IRS use the regression results to identify returns with unusually high charitable contributions?
Answers
Answer:
ŷ = 195.698X - 6169.941 ;
R² = 0.9224 ; About 92% variation in the value of Charitable contribution can be explained by the best fit line.
Step-by-step explanation:
The excel data:
AGI: (X) :
55
58
63
67
74
78
83
88
92
98
105
Charitable contribution Y:
4200
4800
6329
8017
7400
8600
12290
10406
11820
12090
14675
The scatter plot can b found in the picture attached below.
The estimated regression equation obtained is :
ŷ = 195.698X - 6169.941
Where ;
slope of the regression line = 195.698 ;
Intercept = - 6169.941
The R² value is called the Coefficient of determination which gives the proportion of variation due to the best fit line. Using the Coefficient determination calculator ; R² = 0.9224
About 92% variation in the value of Charitable contribution can be explained by the best fit line.
What is the area of the white shape?
Answers
Answer:
your awnser is 60m hope it helps
Help quick please I’m timed
Answers
Answer:
Midpoint.
It is equidistant.
FIND THE SURFACE AREA
Answers
Answer:
the top and bottom combined are 240 and one side is 1200, another side is 500 and another is 1250, so the surface area is 3190 cm
Step-by-step explanation:
when comparing data quickly, it’s best to use a
A. bar graph
B. pie graph
C. line graph
D. scatter plot
Answers
Answer:
line graph
Step-by-step explanation:
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