Answers
Answer:
7.5 units^2
Step-by-step explanation:
So, let's just break apart this trapezoid into easier shapes to work with.
We can make a 1x3 rectangle with the squares that are fully covered in.
Then, make a triangle with the squares that are partially covered in above and another triangle for those below.
Now, calculating time.
With the rectangle, do Length * Width, so 1 * 3 = 3.
With the upper triangle, do (Base * Height) / 2, so (3 * 2) / 2 = 3
With the lower triangle, do (Base * Height) / 2 as well, so (3 * 1) / 2 = 1.5
Add these all up and you get 7.5 units^2
Hope that helps.
Related Questions
which graph represents this exponential function?
f(x) = 3(2)x -4
Answers
Answer:
show a graph?
Step-by-step explanation:
Find the common ratio for the geometric sequence
-24, -12, -6
Answers
Where did 35 come from?
Answers
35 is the sum of the first five triangular numbers, making it a tetrahedral number. 35 is the number of ways that three things can be selected from a set of seven unique things also known as the "combination of seven things taken three at a time". ... 35 is the highest number one can count to on one's fingers using base 6.
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
Answers
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
Find the mean proportion between 28 and 63.
Answers
Answer:45.5
Step-by-step explanation:
Help this is do today!!!!!!!! will give extra points!!!! 15+ points
Answers
9514 1404 393
Answer:
(x, y) = (-2, 7)
Step-by-step explanation:
Add the first equation to twice the second.
(4x +4y) +2(2x -2y) = (20) +2(-18)
8x = -16 . . . . . . simplify
x = -2 . . . . . . . . divide by 8
__
2(-2) -2y = -18 . . . . .substitute into the second equation
y + 2 = 9 . . . . . . . . . divide by -2
y = 7 . . . . . . . . . . . subtract 2
The solution is (x, y) = (-2, 7).
What is the median of the data set shown below? {2,4,4, 6, 6, 8, 10, 11, 11, 11} OA) 7 OB) 7.3 OC) 9 OD) 11
Answers
Answer:
The median is going to be 7
the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.
Answers
Answer:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 2x - 2[/tex]
[tex]x = \{x|-3,-2,1,5\}[/tex]
Required
The range using set notation
We have:
[tex]g(x) = 2x - 2[/tex]
When [tex]x = -3[/tex]
[tex]g(-3) = 2*-3 - 2 = -8[/tex]
When [tex]x = -2[/tex]
[tex]g(-2) = 2*-2 - 2 = -6[/tex]
When [tex]x = 1[/tex]
[tex]g(1) = 2*1 - 2 =0[/tex]
When [tex]x=5[/tex]
[tex]g(5) = 2*5 - 2 =8[/tex]
So, we have:
[tex]y = -8,-6,0,8[/tex]
Using set notation, the range is:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
Find the measure of Angle X.
Answers
Answer:
11 degrees
Step-by-step explanation:
Vertical angles (opposite angles made by two intersecting lines) have the same measure.
need help with this
Answers
(A) delta h(t) = 32
Step-by-step explanation:
Average rate of change delta h(t) is given by
[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]
at t = 0, h(0) = 80
at t = 2, h(2) = -16(4) + 64(2) + 80 = 144
Plugging in the numbers
delta h(t) = (144 - 80)/(2 - 0)
= 32
A student in wildlife management studied trout habitat in the upper Shavers Fork watershed in West Virginia. The springtime water pH of 29 randomly selected tributary sample sites were found to have the following values:
6.2 6.3 5.0 5.8 4.6 4.7 4.7 5.4 6.2 6.0 5.4 5.9 6.2 6.1 6.0 6.3 6.2 5.8 6.2 6.3 6.3 6.3 6.4 6.5 6.6 6.1 6.3 4.4 6.7
Do the data of Exercise 17.8 (above) give good reason to think that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. (A neutral pH is the pH of pure water, pH 7.)
Step 1:
STATE: Is there evidence that the springtime water pH of the Shavers Fork watershed is not neutral (pH 7)?
FORMULATE: State hypotheses to be tested.
A. H 0 : μ = 7 vs. Ha : μ > 7
B. H 0 : μ = 7 vs. Ha : μ < 7
C. H 0 : μ = 7 vs. Ha : μ ≠ 7
D. H 0 : μ ≠ 7 vs. Ha : μ < 7
Answers
Answer:
C. H 0 : μ = 7 vs. Ha : μ ≠ 7
Since the calculated value of t = -9.462 falls in the critical region t ≤-2.048
We conclude that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.
Step-by-step explanation:
The null hypothesis the usually the test to be performed. Here we want to check whether the water is neutral or not. Neutral water must have a pH of 7 . This can be stated as the null hypothesis. And the claim is treated as the alternate hypothesis that water in not neutral or not having pH= 7
In symbols it will be written as
H0: : μ = 7 vs. Ha : μ ≠ 7
So choice C is the best option for this hypothesis testing.
Let the significance level be 0.05
The degrees of freedom = n-1= 29-1 = 28
The critical value is t ≥ 2.048 and t ≤ - 2.048 for 0.05 two tailed test with 28 df.
The test statistic to use is t- test
t= x- u/ s/√n
The total sum is 170.9 and mean = x= 5.893
The u = 7
And the sample standard deviation is =s= 0.63
Putting the values
t= 5.893-7/0.63/√29
t= - 1.107/0.11699
t= -9.4623
Since the calculated value of t = -9.462 falls in the critical region t ≤-2.048
We conclude that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.
(-2, 11) & (5,6)
What is the slope of the equation between these two points?
Answers
Answer:
[tex] m =\dfrac{-5}{7}[/tex]
Step-by-step explanation:
Given :-
Two points (-2,11) and (5,6) .And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,
[tex]\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}[/tex]
Here the two points are (-2,11) and (5,6) .So put on the respective values ,[tex]\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7} [/tex]
Hence the slope of the line is -5/7 .
95/100 can be written as
19/20
13/20
19/10
Answers
Answer:
I quite strongly believe that the first option is the correct one since the following applies,
19/20
20*5=100
and
19*5=95
which in the end is equivalent to 95/100
Find the circumference use 3.1; for pie
Answers
Answer:
12.56 m
Step-by-step explanation:
If the radius is 2, the the diameter will be 4 since the diameter = 2 radius. Next, you will multiply 3.14 * 4 to get your answer:
12.56 m
Find the slope of the lines shown in the graph
Answers
Blue: 4/2
Black: 1/3
How do to solve 7x-1 over 22 = 3x+1 over 10
Answers
Answer:
7x-1/22 = 3x+1/10
Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.
The LCM of 22 and 10 is 110
So
110 x(7x-1/22) = 110 x (3x+1/10)
110/22 =5
110/10 = 11
So the eqn now becomes
5(7x-1) = 11(3x+1)
Opening the parentheses
35x - 5 = 33x + 11
Collect Like Terms
35x - 33x = 11 + 5
2x = 16
x= 8.
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answers
Answer:
8.50
Step-by-step explanation:
Solve for xxx in the diagram below.
Answers
2x+112=180
-112. -112
2x= 68
/2. /2
X= 34
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the value for , and round up your answer to the next square meter.
Answers
9514 1404 393
Answer:
3433 m^2
Step-by-step explanation:
The total surface area is the sum of the end areas and the lateral area.
The end areas together are a circle of diameter 0.4 m and two rectangles that are 0.4 m by 0.55 m.
End areas = πr^2 + 2LW = 3.14(0.2 m)^2 + 2(0.4 m)(0.55 m)
= 0.1256 m^2 +0.44 m^2 = 0.5656 m^2
The perimeter of the end piece is half the circumference of a 0.4 m circle and three sides of a 0.4 m by 0.55 m rectangle.
P = (1/2)πd + 2L +W = 1/2·3.14·0.4 m + 2(0.55 m) + 0.4 m = 2.128 m
The lateral area of the mailbox is the product of its length and the perimeter of the end piece:
LA = PL = (2.128 m)(0.6 m) = 1.2768 m^2
Then the total surface area of the mailbox is ...
0.5656 m^2 + 1.2768 m^2 = 1.8424 m^2
__
The area of aluminum required for 1863 mailboxes is ...
1863 × 1.8424 m^2 ≈ 3433 m^2
About 3433 square meters of aluminum are needed to make these mailboxes.
Pls help simplify! I’ll give brainlest
Answers
Answer:
3^12
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
Help—
Natalie is having a birthday party and it's time to cut
the cake.
Unfortunately she doesn't know how far she needs to
cut from the center to the edge of the cake.
She remembered the baker told her that the
circumference is 46 inches.
How far should Natalie cut?
**NO spaces
**Include units
**Round to the nearest hundredths
Answers
Answer:
7.32 inches
Step-by-step explanation:
The circumference of the circle is 46 inches, and you just have to find the radius... you do the 2xpixr=C backwards. So 2xpixr=46 simplify the expression; 6.28xr=46 then divide... r=46/6.28... Which rounds to 7.32 inches as the radius.
(And yes you are finding the radius if you are finding a line from the middle of the circle to an edge)
I hope this helps :))
last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the percentage increase in the cost of his train ticket. give your answer correct to 3 significant figures.
Answers
Answer:
Percentage increase in the cost of his train ticket = 3% (Approx.)
Step-by-step explanation:
Given:
Cost of annual ticket paid by Patrick last year = £2,534
Cost of annual ticket paid by Patrick current year = £2,612
Find:
Percentage increase in the cost of his train ticket
Computation:
Percentage increase = [(Current - Base) / Base]100
Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100
Percentage increase in the cost of his train ticket = [(78) / 2,534]100
Percentage increase in the cost of his train ticket = [0.03078]100
Percentage increase in the cost of his train ticket = 3.078
Percentage increase in the cost of his train ticket = 3% (Approx.)
Help? Can anyone help me out? I’ll give Brainly! :) thank you!
Answers
Answer:
B
Step-by-step explanation:
$970+$2436= $3,406
the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)
How do we get 45 in this????
Answers
Answer:
A. 45h = 1,575
Step-by-step explanation:
Area of trapezoid = 1,575 cm² (given)
We are given the length of both bases, a = 63 cm and b = 27 cm
We need to find the formula that will enable us determine its height (h).
Thus:
Area of trapezoid = ½(a + b)h
Plug in the values
½(63 + 27)h = 1,575
½(90)h = 1,575
45h = 1,575
The answer is A. 45h = 1,575
Work out the mean for the data set below: 207, 208 Give your answer as a decimal.
Answers
Answer:
207.5 is the answer.
Step-by-step explanation:
Add up the numbers (207 + 208) = 415.
Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.
That is how you find the mean.
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
Answers
27 The data in the table below shows a linear relationship.
х
-2
0
1.5
у
7
3
1
0
Which of the following is the y-intercept of the graph of the data?!
A 1.5
B 1
с 3
D 2
Answers
Answer:
y-intercept is at (0,3)
Step-by-step explanation:
The ordered pair (3, 2) is the solution of which system
of equations?
Answers
Answer:
A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.
Step-by-step explanation:
The Snack Shack sold
40 hamburgers last night. If 55% of the hamburgers were well-done, how many well-done hamburgers did they serve?
Answers
Answer:
22 hamburgers
Step-by-step explanation:
number of well-done hamburgers = total hamburgers sold x percent of well-done hamburgers
40 x 0.55 = 22
please help me and use laws of exponents
Answers
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .