Answers
Answer:
height = 5.33 m (nearest hundredth)
area of wall = 41.66 m² (nearest hundredth)
Step-by-step explanation:
To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.
The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles. If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).
To find the height, use the tan trig ratio:
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent to the angleGiven:
[tex]\theta[/tex] = 65°O = 5 mA = h[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]
[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]
[tex]\sf \implies h=2.331538291...[/tex]
Therefore, the height of A above the ground:
⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)
----------------------------------------------------------------------------------------
To find the area of the wall, sum the area of the rectangle and the area of the triangle.
Area of rectangle = width x height
= 3 x 10
= 30 m²
Area of triangle = 1/2 x base x height
= 1/2 x 10 x 2.331538191
= 11.65769145 m²
Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)
Related Questions
The lower part of a window is square shape of side 2.1 metre and the upper part is semicircular with the side of square as the diameter. Find the total surface area covered by the window
Answers
Answer:
6.14
Step-by-step explanation:
The required area would be 6.14 m²
I hope I helped you
Answer:
6.14m^2
Step-by-step explanation:
Maybe this will help you..
7. Wally invests $5,000 in a CD that earns 4% per year. Eqn:
Answers
Answer:
5000(1.04)^x, x is # of years
A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, and height 4 cm. If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section? Rectangle Triangle Parallelogram Hexagon
Answers
Answer:
triangleStep-by-step explanation:
draw a square and cut it from the top right corner to the bottom left corner it makes a triangle
John has 1010 items in his backpack, including 66 books. What is the probability that a randomly selected item from his backpack is a book?
Answers
Answer:
~6.534653% of randomly selected a book from his bag (I don't know how many decimals you need)
Step-by-step explanation:
Basically you just do (66 (books) /1010 (total items)) * 100 to find your answer because out of the total 1010 items in that bag there is only 66 that are books so its (66/1010)*100 to find your answer, the *100 is added to find the percentage.
Tumbleweed, commonly found in the western United States, is the dried structure of certain plants that are blown by the wind. Kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. Scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. In 2014 , 19. 7% of 61 randomly selected kochia plants were resistant to glyphosate. In 2017 , 38. 5% of 52 randomly selected kochia plants were resistant to glyphosate. Do the data provide convincing statistical evidence, at the level of α=0. 05 that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate
Answers
Using the z-distribution, it is found that the data provides convincing evidence that the proportion has increased.
What are the hypotheses tested?At the null hypotheses, it is tested if the proportion has not increased, that is, the difference of the 2017 proportion and the 2014 proportions is not positive, hence:
[tex]H_0: p_2 - p_1 \leq 0[/tex]
At the alternative hypothesis, it is tested if the proportion has increased, hence:
[tex]H_1: p_2 - p_1 > 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given by:
[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]
[tex]p_2 = 0.383, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{p} = p_2 - p_1 = 0.383 - 0.197 = 0.186[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.186 - 0}{0.0845}[/tex]
z = 2.2
What is the decision?Considering a right-tailed test, as we are testing if the proportion is higher than a value, the critical value at the 0.05 significance level is [tex]z^{\ast} = 1.645[/tex].
Since the test statistic is greater than the critical value for the left tailed test, the data provides convincing evidence that the proportion has increased.
More can be learned about the z-distribution at https://brainly.com/question/26454209
A glass container holds 40 fluid ounces of tea. How many pints of tea does the glass container hold?
Answers
Answer:
2.5
Step-by-step explanation:
40 divided by 16 is 2.5
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
One
Two
Infinitely many
Answers
Answer:
The answer is infinitely many.
Step-by-step explanation:
5x + 3(x − 1) = 10x − 2x − 3 is simplified to 0=0, which is infinitely many solutions.
Select the correct answer.
Consider this absolute value function.
f(I) = \1 +81
How can function fbe written as a plecewise function?
ОА
f(1) =
=
I + 8, I > 8
-I – 8, I <8
-
OB.
f(3) =
I + 8,
I > -8
-I + 8, I <-8
ОС.
f(3) =
I + 8 I > -8
-I -8, 13-8
-
OD
f(0) =
I + 8, I > 8
-I + 8, I < 8
Answers
Answer:
C.
Step-by-step explanation:
Find the area of the parallelogram below, after the
purple triangle-sized hole was removed.
Answers
Answer: 75
Step-by-step explanation:
Separate the parallelogram into two identical triangles (0.5 length by 10 height) and a rectangle (8 length by 10 height).
Work out the area of the rectangle - 8 * 10 = 80
Work out the area of the triangle - 0.5 * 10 = 5 (you don't need to halve it as you have two triangles)
Work out the area of the parallelogram - 80 + 5 = 85
Work out the area of the purple rectangle? (it says triangle in your description but I'm pretty sure that's not a triangle) - 5 * 2 = 10
Work out final area of the parallelogram - 85 - 10 = 75
I'm not sure if this is right but either way I hope you get your answer :)
the binary number 1101101 converted to decimal number is
Answers
Answer:
109
Step-by-step explanation:
Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?Help I'm stuck. thank u
Answers
Answer:
The best customary unit of measurement to measure the lengths of the rope for knot-tying would be:
Inches (in.)
Alex can also use feet, yards, and miles, but Inches are the best measurement to use in this situation.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
On March 8, 2003, the world's largest taco was made in the city of Mexicali, Baja. The taco contained approximately 1 kg of onion for every 6.6 kg of grilled steak. The total weight of these two ingredients was 617.6 kg. To the nearest tenth of a kg, how many kg of onions and grilled beef were used to make the taco?
A. Onions: 62.3 kg; Beef: 555.3 kg
B. Onions: 81.3 kg; Beef: 536.3 kg
C.Onions: 34.6 kg; Beef: 583 kg
D. Onions 101.9 kg; Beef: 515.7 kg
Answers
Answer:
B. Onions: 81.3 kg; Beef: 536.3 kg
Step-by-step explanation:
6.6x = 6.6*81.26 = 536.32 kg (amount of grilled steak in the taco)
i think thats right
Answer: A. i think it is
Step-by-step explanation:
please help!!! I need this
Answers
Answer:
it is (2): AOB = COD
Step-by-step explanation:
Coach Morton is going on vacation! He drives 7.5 hours at an average speed of 35mph. How many miles did he travel?
Answers
Answer:
4.7m
Step-by-step explanation:
35/7.5
=4.7m
Am sure am correct
Pls help me look at the picture for the question pls
Answers
Answer:
D
Step-by-step explanation:
[tex]y=-3x-14[/tex] is a function as it has:
The input (x-values)A relationship (multiply the x-value by -3 then subtract 14)The output (y-value)Linear equation in slope-intercept form: [tex]y=mx+b[/tex]
where:
m = slopeb = y-interceptTherefore, for equation [tex]y=-3x-14[/tex]
The slope is -3The y-intercept is -14So as the equation is a linear equation, its graph is a straight line.
Therefore, the only statement that is NOT true is D as the y-intercept is -14 (not 14).
Please answer number 7 thank you.
Answers
Answer:
3 is most likely
Step-by-step explanation:
Find the measure of the missing angle in this right triangle.
Answers
Answer:
Missing angle is 55°
Step-by-step explanation:
Given :-
One angle is 35° and one is 90°To find:-
Measurement of other angleSolution:-
We know that the sum of all angles in a triangle is 180°
and let the unknown angle be x
So ,
90°+35°+x = 180°
x = 180° - 125°
x = 55°
What is 2/5÷2?
A.) 1/5
B.) 2/5
C.) 4/5
D.) 5
Answers
Answer:
A. 1/5
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] times [tex]\frac{1}{2}[/tex]
= [tex]\frac{2}{10}[/tex]
= [tex]\frac{1}{5}[/tex]
hope this helps!
Answer: A.) 1/5
Step-by-step explanation:
When dividing a fraction with a whole number we have to turn that whole number into a fraction as well
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex]
So now we use the dividing fraction formula: [tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a*d}{b*c}[/tex]
So we put the numbers in their places: [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2*1}{5*2}[/tex] = [tex]\frac{2}{10}[/tex]
However [tex]\frac{2}{10}[/tex] simplified is [tex]\frac{1}{5}[/tex]
find the horizontal asymptote(s).
Answers
Let me know if you need explaining !
Triple u then divide 3 by the result?
Answers
Answer:
[tex]beinggreat78~is~here~to~help![/tex]
The equation should look something like this.
[tex]\frac{u(3)}{3}[/tex]
Be careful with your use between cubing and multiplying; Cubing is multiplying the number by itself multiple times, while multiplying is like repeated adding, yet much easier.
In this case, if it says triple, I highly recommend multiplying by 3, which is what I did, it only looks different because it is in parentheses.
What have we learned?
We learned how to write algebraic equations, and some further information on multiplying.PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answers
Answer:
1/2
Cameron made :
[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]
[tex]\sf \hookrightarrow 64 \ cookies[/tex]
Lindsey made :
16 cookiesTogether:
16 + 64 = 80 cookiesLeft to make:
(160-80)/1601/2Total made:-
16+2/5(160)16+2(32)16+6480cookiesCookies left:-
160-80=80Fraction:-
80/1601/2Please help I will give brainliest.
Answers
Answer:
x = - [tex]\frac{3}{2}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
4x² + 4x = 3 ← factor out 4 from each term on the left side
4(x² + x) = 3
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² + x
4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) = 3
4(x + [tex]\frac{1}{2}[/tex] )² - 1 = 3 ( add 1 to both sides )
4(x + [tex]\frac{1}{2}[/tex] )² = 4 ( divide both sides by 4 )
(x + [tex]\frac{1}{2}[/tex] )² = 1 ( take square root of both sides )
x + [tex]\frac{1}{2}[/tex] = ± 1 ( subtract [tex]\frac{1}{2}[/tex] from both sides )
x = - [tex]\frac{1}{2}[/tex] ± 1
then
x = - [tex]\frac{1}{2}[/tex] - 1 = - [tex]\frac{3}{2}[/tex]
x = - [tex]\frac{1}{2}[/tex] + 1 = [tex]\frac{1}{2}[/tex]
This table shows values that represent an exponential function.
(See picture)
What is the average rate of change for this function for the interval from x = 1 to x = 3?
A. 3
B. 1/3
C. 6
D. 1/6
Answers
Answer:
3
Step-by-step explanation:
When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.
6/2= 3
3 is the average increase between x=1 and x=3
Hope this helps!
Claire invests £200,000 in a savings account for 4 years. The account pays compound interest rate at 1.6% per annum. Calculate the total amount of interest Claire will get at the end of 4 years
Answers
Answer:
£13,110.49
Step-by-step explanation:
(A) = P( 1 + r/n) ^nt
P(Principal) = £200 000
r(interest rate) = 1.6% = 0.016
The total amount been saved after 4 years is calculated as:
A = P( 1 + r/n) ^ nt
A = £200,000( 1 + 0.016/1)¹× ⁴
A = £200,000(1.016)⁴
A = £213,110.48991
A = £ 213,110.49
Claire will get approximately £ 213,110.49 within 4 years.
15x - 10= 65
15x =
X=
Answers
Answer:
15x = 75
x = 5
Step-by-step explanation:
15x - 10 = 65
15x = 65 + 10
15x = 75
x = 75/15
x = 5
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
15x = 65 + 10
15x = 75
x = 75/15
x = 5
Pls Help Me Find The Area!!
Answers
Answer:
A = 32 cm²
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
here b = 8 and h = 4 , then
A = 8 × 4 = 32 cm²
i need help with this quick pls
Answers
Answer:
[tex]\left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]
Step-by-step explanation:
[tex]x=\left[\begin{array}{ccc}8&4\\-2&3\end{array}\right][/tex]
[tex]y=\left[\begin{array}{ccc}5&-2\\2&8\end{array}\right][/tex]
To multiply an array by a constant, all you need to do is take every element in the array and multiply it by the constant, addition is similar in that you just go to each corresponding element in the arrays and add the two corresponding elements together.
[tex]2*\left[\begin{array}{cc}8&4\\-2&3\end{array}\right]+\left[\begin{array}{cc}5&-2\\2&8\end{array}\right] = \left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]
17. There are 147 people at a tree-planting
event. They break into groups of 3 people
to plant trees. How many groups are
formed?
Answers
Answer:
147/3=49
49 groups
Step-by-step explanation:
Find the sum of the following series. Round to the nearest hundredth if
necessary
5 + 10 + 20 + ... + 163840
Sum of a finite geometric series:
ai
Sn
di — airon
1 - 1
Answers
Answer:
327675
Step-by-step explanation:
the formula of the series is:
16
∑5*2^(n-1)
n=1
the formula for the sum of a geometric series is:
Sn=a(1-r^n)/(1-r)
plug in the values from above
n=16 a=5 and r=2 (values from the geometric function) so
Sn=5(1-2^16)/(1-2)
Sn=327675
Find the product
231 × 56 =
Say it in the comments because I cannot have access to the answer box looking. Thanks!
Answers
Answer:
12,936
I hope this Answer your question
