Answer:
m∠E = 60°
Step-by-step explanation:
The given information in the diagram are;
The shape of the drawing, ΔEDF = A right triangle
The length of the hypotenuse side opposite the right angle = 16·√46
The length of the leg adjacent to the reference angle ∠E = 8·√46
By trigonometric ratio, we have;
[tex]\dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = cos\angle E[/tex]
Plugging in the values gives;
[tex]cos\angle E = \dfrac{8 \cdot \sqrt{46} }{16\cdot \sqrt{46} } = \dfrac{1}{2}[/tex]
∴ m∠E = arccos(1/2)
Using a calculator or from tables or an online trigonometric ratio tool, we have
arccos(1/2) = 60°
∴ m∠E = arccos(1/2) = 60°.
Please help me find the volume
Check the picture below.
so we have a pyramid atop and a rectangular prism at its base, so we simply get the volume of each separately and add them up.
[tex]\hspace{34em}|\\ \textit{volume of a pyramid} \\ \cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its base}}{6\times 6}\\ h=\stackrel{\textit{its height}}{8} \end{cases} \\\\\\ \cfrac{1}{3}(6\cdot 6)(8)\implies \cfrac{36}{3}\cdot 8\implies 12\cdot 8\implies \underline{96}[/tex]
[tex]\textit{volume of a rectangular prism}\\ Lwh~~ \begin{cases} L=\stackrel{length}{6}\\ w=\stackrel{width}{6}\\ h=\stackrel{height}{4} \end{cases} \\\\\\ 6\cdot 6\cdot 4\implies 36\cdot 4\implies \underline{144} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{volume of the figure}}{96+144\implies 240}~\hfill[/tex]
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
factorise fully 3r+6r2
Answer:
3r(1 + 2r)
Step-by-step explanation:
3r + 6r^2
take common
3r(1 + 2r)
Answer:
3r(1+2r2)
Step-by-step explanation:
Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?
2/5
1/48
4/5
1/3
Answer:
2/5
hope it helps
Thank you
can somebody help plz
Answer:
(3,2)
Step-by-step explanation:
the other three ordered pairs do not lie in the shaded region
A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.
Answer:
(105 | 35)
the x-component (how much to the side) is left, the y-component right (how high)
The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
What is a graph?A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.
For the given situation,
The graph shows the time in x-axis and cost in y-axis.
Ordered pairs are often used to represent two variables.
The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.
From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.
Thus the point of intersection is x at 110 and y at 35.
⇒ [tex](x,y)=(110,35)[/tex]
Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
Learn more about graphs here
https://brainly.com/question/7563606
#SPJ2
Which data value has the highest frequency?
Answer:
33
Step-by-step explanation:
most dots above that point
Which equation describes the line graphed above?
Find the value of x using the geometric mean theorems.
All radical answers should be entered as a decimal rounded to the nearest tenth.
Answer:
Step-by-step explanation:
10. Solve the following pair of simultaneous equations 2 + x = y xy = 5. 1 Add file
Find the 87th term of the arithmetic sequence 12, 0, -12
Answer:
a(87) = -590
Step-by-step explanation:
Notice how each term of this arithmetic sequence is equal to the sum of the previous term and the common difference, -12.
The general formula a(n) = a(1) + (n - 1)d becomes:
a(n) = 12 - 7(n - 1)
and the 87th term a(87) = 12 - 7(87 - 1), or
a(87) = 12 - 7(86)
a(87) = -590
Without graphing, what can you say about the points (2.5, 1) and (6, 1) on the coordinate plane?
Answer:
hope this helps
Step-by-step explanation:
-they do not have the same slope
-their lines are not parallel
there's probably more but i cant quite think of it as of now
What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63
Answer:
0.78
used a calculator
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml
Answer:
surface area is A≈394.08
not so sure about volume
Step-by-step explanation:
Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME
Answer:
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
Step-by-step explanation:
Given expression is (15 - √105).
Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]
Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,
15 - [tex]\sqrt{105}[/tex] = Slightly less than 5
From the given options answer will be,
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
help me please: tan3x-tanx-1=0
Answer: [tex]x=0.30714\dots +\pi n[/tex]
Step-by-step explanation:
[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]
Please help me. I feel really confused and I have no clue on what to do…
Answer:
i cant understand your questions. can you reply me? i will have better answer
i need help quick!! i need steps please. i dont understand it
will mark brainliest.
Answer:
Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know
Step-by-step explanation:
It is not a rotation, a mirror a flip or anything like that i think its only slides.
I didnt se this before every slide counts as 2 so its 4 up and 6 to the right
The diagram shows a man standing next to a dinosaur.
Estimate the height of the dinosaur.
Answer:
manz I think u would need like a ruler or something
write the set of positive perfect square numbers that is less than 120 . any sort of help is appreciated due 5 pm
Answer:
{1,4,9,16,25,36,49,64,81,100}
The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?
Answer:
+9
Step-by-step explanation:
+9-9=0
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
What is the basic unit of time? What is the relationship between time and sound in music? please help im desperate
Simplify using the multiplication rule.
A. the first one is the answer
Step-by-step explanation:
[tex]\sf \bf {\boxed {\mathbb { a. \:2 {y}^{2} \sqrt{6x}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{4x {y}^{3} } \sqrt{6y} [/tex]
[tex] = \sqrt{4 \times 6 \: x \: {y}^{(3 + 1)} } [/tex]
[tex] = \sqrt{( {2})^{2} \times 6 \: x \: {y}^{4} } [/tex]
[tex] = \sqrt{( {2})^{2} \times 6 \: x \: { ({y}^{2} })^{2} } [/tex]
[tex] = 2 {y}^{2} \sqrt{6x} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?
Answer:
Step-by-step explanation:
Its 43567 bc I searched it up
URGENT! What are the residuals for the scatter plot. Thank you!
Answer:
demos & mathaway
Step-by-step explanation:
I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.
(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.
Answer:
Step-by-step explanation:
commission amount = 4 % of Rs 65000
=4/100 * 65000
=260000/100
=2600
therefore commision amount is Rs 2600
SP od an article = Rs 2700
profit %=8%
let CP be x
SP=CP + profit% of CP
2700=x + 8/100 *x
2700=100x + 8x/100
2700*100 = 108x
270000=108x
270000/108=x
2500=x
therefore cost price (CP) of an article is Rs 2500.
Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}
Given:
The different functions in the form of set of ordered pairs.
To find:
The function which has an inverse that is also a function.
Solution:
A relation is a function if there exists unique y-value for each x-value.
We know that the inverse transformation is defined as:
[tex](x,y)\to (y,x)[/tex]
So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.
In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.
In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.
In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.
In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.
Therefore, the correct option is A.
If 4p + 3q + 2r = 3 and -4p - 2q - 2r = 4, then q = ?
(A) 0
(B) 2
(C) 3
(D) 4
(E) 7
Answer:
E
Step-by-step explanation:
Label the two equations:
4p +3q +2r= 3 -----(1)
-4p -2q -2r= 4 -----(2)
(1) +(2):
4p +3q +2r -4p -2q -2r= 3 +4
Grouping like terms together:
4p -4p +3q -2q +2r -2r= 7
Simplify:
q= 7