Answer:
7.53
3.5 + 0.02 = 3.52
11 + 0.05 = 11.05
11.05 - 3.52 = 7.53
The measure of an exterior angle of a triangle is always_____.
Answer:
The measure of an exterior angle of a triangle is always greater than the measure of either of the opposite interior angles of the triangle
sum of angles in a triangle ABC is 180
interior angles +exterior =180
The first row of a conference hall has 11 chairs and 2 additional chairs in each subsequent row. How many chairs are in the 8th row? How many chairs in total are in the first 8 rows?
The total number of chairs in the eight rows of the conference hall is; 144 chairs.
What is the total number of chairs in the eight rows?From the task content;
It follows that the first row contained 11 chairs and each successive row has 2 more chairs. It therefore follows from the sum of terms for an arithmetic progression that the eight rows contain;
Total number of chairs = (8/2) × (2(11) + 7(2))
S = 4 × 36 = 144.
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Given: cot32°=4/3 and cos44°=7/9 find sin62°
This question has the same problem as the other one you shared. Neither cot(32°) = 4/3 nor cos(44°) = 7/9 are true.
But if we indulge the author for a moment, we have from the double angle identity
[tex]\sin(2x) = 2\sin(x) \cos(x)[/tex]
so if x = 32°, then
[tex]\sin(64^\circ) = 2\sin(32^\circ) \cos(32^\circ)[/tex]
We also have from the Pythagorean identity
[tex]\sin^2(x) + \cos^2(x) = 1 \implies 1 + \cot^2(x) = \csc^2(x) \\\\ \implies \csc(x) = \pm \sqrt{1+\cot^2(x)} \\\\ \implies \sin(x) = \pm \dfrac1{\sqrt{1+\cot^2(x)}}[/tex]
Now, 0° < 32° < 90°, so both sin(32°) and cos(32°) are positive.
If we assume cot(32°) = 4/3 to be true, it follows that
[tex]\sin(32^\circ) = \dfrac1{\sqrt{1+\left(\frac43\right)^2}} = \dfrac35[/tex]
[tex]\cos(32^\circ) = \sqrt{1 - \sin^2(32^\circ)} = \dfrac45[/tex]
[tex]\implies \sin(64^\circ) = 2\times\dfrac35\times\dfrac45 = \dfrac{24}{25}[/tex]
so E is the only correct choice regardless of the baseless assumptions made by the question.
A business man invested 10,500 in a company and the value increases 3.5% each year. How much will be the investment after 12 years
Answer:
441,000 dollars after 12 years
Answer:
36,000
Step-by-step explanation:
36,000 plus the 10,500
The distance from home plate to first base is 90 feet. The distance from first base to second base is 90 feet. If the angle formed by the path from home te
first and first to second is 90°, what is the distance from home plate to second base?
Step-by-step explanation:
here you go hope this helps you
h
w
Volume
V = lwh
If L =44, w = 21, and h = 20, solve for the surface area of the image shown
Answer:
4448 feet²
Step-by-step explanation:
Using the formula [tex]A = 2((l)x(w) + (l)x(h) + (w)x(h))[/tex] we can take the length, width and height and plug them in. [tex]A = 2(44x21 + 44x20 + 21x20)[/tex], solving this equation we get [tex]4448 feet^{2}[/tex].
Which of the following equations will yield the volume of a triangular prism?
V = Bh
V = 2 B + Ph
V = lwh
V = 2 lw + 2 lh + 2 wh
Answer:
V = Bh
Step-by-step explanation:
The equations will yield the volume of a triangular prism is V = Bh.
Where,
V = Volume
B = Base
h = Height
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Kavinsky
By which method can the two triangles below be proven congruent?
Answer:
pythagorean theorem
Step-by-step explanation:
Find the maximum or minimum value, domain, and range of the quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Minimum = -0.25Domain : all real numbersRange : y ≥ -0.25how do i solve?and what is the answer?
10m
explanation[tex]looking \: at \: the \: diagram \\ horizontal \: lenght = 6m \\ vertical \: lenght = 8m \\ the \: \: lenght \: of \: the \: fencing \: can \: be \: calculated \\ using \: pythagoras \: theorem \\ let \: the \: lenght \: of \: the \: ladder = h \\ h {}^{2} { = 6}^{2} + 8 {}^{2} \\ h {}^{2} = 36 + 64 \\ h {}^{2} = 100 \\ square \: root \: bothsides \\ \sqrt{h {}^{2} } = \sqrt{100 } \\ h = 10 \\ therefore \: lenght \: of \: the \: ladder \: = 10m[/tex]
hope this helps.please rate and mark brainliest!!!5. While decorating her bedroom, Sandra spent the following amounts: {$29, $58, $15, $130, $75, $23} Calculate the mean absolute deviation to the nearest tenth. MAD=
Answer: 206
Step-by-step explanation: addion
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
.
10
0
X 5 ?
12
Answer:
x is equal to 15.62 .......
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
Answer:
37.7 in.
Unfortunately, I cannot include the question with the full steps.
Here is the equation:
[tex]\pi * 12 = 37.7[/tex]
[tex]diameter = 12 \: in[/tex]
to find:the circumference of the circle.
solution:[tex]c = \pi \: d[/tex]
[tex]c = \pi \times 12[/tex]
[tex]c = 37.6991118431[/tex]
[tex]c = 37.7 \: in[/tex]
therefore, the circumference of the circle is 37.7 inch.
What is the great commin factor of the terms in the polynomial 8x^4-4x^3-18x^2
Answer:
2x^2 (4x^2-x-9)
Step-by-step explanation:
8x^4-4x^3-18x^2
2x^2 (4x^2-x-9)
please help asap please bouns points
Answer:
the answer for first square is 18
*BRAINLIEST* (Easy Question: Warm UP) Find a positive solution to each equation: x2 = 9/4?
A.x = 3/2
B.x = 9/4
C.x = 2
D.x = 3
E.No positive solution
Show Explanation For BRAINLIEST
Answer:
A
Step-by-step explanation:
Given
x² = 9/4Solving
Take the square root on both sides√x² = √9/4⇒ x = 3/2Option A is the correct option.[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve it ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = \dfrac{9}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \sqrt{ \dfrac{9}{4} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ \sqrt{9} }{ \sqrt{4} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{3}{2} [/tex]
So, the correct choice is A
Two times a number minus four times another number is ten, and four times the first number
minus four times the second number results in four. What are the two numbers? Let the first
number be x and the second number bey.
Answer:
x = -3
y = -4
Step-by-step explanation:
We're given:
Two times a number minus four times another number is tenFour times the first number minus four times the second number results in fourLet the first number be x and the second be y.
Translate the given information into equations:
Two times [a number] minus four times [another number] is tenNow, solve using elimination:
- [tex]2x-4y=10\\\hspace{5} 4x-4y=4\\\rule{60}{0.3}\\-2x=6[/tex]
Solve for x:
[tex]-2x=6\\x=-3[/tex]
Therefore, the first number is -3.
Now, solve for y using x:
[tex]2x-4y=10\\2(-3)-4y=10\\-6-4y=10\\-4y=16\\y=-4[/tex]
Therefore, the second number is -4.
An rectangular water tank has a base area of 56 sq. ft. and a height of 4 ft. Find its volume in cubic feet.
No spam answers please
Answer: 224 cubic feet
Step-by-step explanation: If the base of the tank is 56 sq feet in area then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.
I don’t understand how to identify quadratic transformations. Can I have so help please?
Answer:
The parent function for a quadratic is f(x) = x^2. If there is something other than this, that is how you know it is a quadratic transformation.
Find the surface area of isosceles trapezoidal prism given the measures shown.
The surface area of the parallelogram based prism is 1548 units squared.
Surface area of a parallelogram based prism.The prism has 2 parallelogram base and 4 rectangular faces.
Therefore,
surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces
Therefore,
surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)
surface area of the prism = 2(204) + 2(247) + 2(323)
surface area of the prism = 408 + 494 + 646
surface area of the prism = 1548 units²
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An engineer is using a polynomial function to model the height of a roller coaster over time x, as shown.
On a coordinate plane, a curve increases from quadrant 3 and crosses the y-axis at (0, 4). It then decreases and crosses the x-axis at (5, 0). It continues to decrease and then starts to increase and crosses the x-axis at (8, 0).
The engineer wants to modify the roller coaster design by transforming the function. Which represents 2 f (0.3 x minus 1) + 10, the modified design of the roller coaster?
Answer:
Step-by-step explanation:
the first thing you have to do is to get the x and the y axis and add them to then decrease that by o,5 and then you get f of which you multiply it by 2 adn you get your answer.
Answer:
The answer is A
Step-by-step explanation:
The two rectangles are similar. Find X.
The 52-week, or 1-year, low is stated as $11.28, and the 52-week high is $23.57. We can tell that the current stock price is somewhere in the middle at $14.61.
As an investor, do you think Delila should buy this stock?
Or, if she already owned stock in this company, would you advise she sell the stock?
Choose one of these two scenarios, and write three to four sentences about your advice. Use information from the data display to justify your decision.
Answer:
Speaking as an investor, this stock isn’t a good buy. There appears to be too much fluctuation in prices for the year, and it’s difficult to tell from this information whether any growth is expected on this investment for the long term.Speaking as an owner of this stock, it might not be the right time to sell. It depends on whether other opportunities are waiting. There doesn’t appear to be a trend of decrease, so it’s possible there will be more growth in the future to help cover the selling and purchase of another stock. Currently, the stock appears somewhat safe, so it would be better to be patient and wait for change.
Step-by-step explanation:
SAMPLE ANSWER!!!!
In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment?
Answer:
yes,you are finding the probalitiy of exactly 5 not
being broken
20 POINTS FOR THE BRAINLIEST!!! Find the exact value of x and y. (Do not round - no decimals)
Answer x=____?
Answer y=____?
Explain how you found side length measure below. Be sure to show all of your work.
Using the cosine and tangent ratios:
value of x = 9/2
value of y = 9√3
What are the Tangent and Cosine Ratios?Cosine ratio is cos ∅ = adjacent/hypotenuse
Tangent ratio is tan ∅ = opposite/adjacent
Find x using the cosine ratio:
cos 60 = x/9
x = (cos 60)(9)
x = (1/2)(9) [cos 60 = 1/2]
x = 9/2
Find y using the tangent ratio:
tan 60 = y/9
y = (tan 60)(9)
y = (√3)(9)
y = 9√3
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What is the value of y?
Answer:
Step-by-step explanation:
Remark
The value of the y can be found by using the Geometric Mean. To use the said mean, you must compare parts of one triangle to parts of the second triangle. In this case, the small triangle containing boy 4 and y, must be compared to the triangle use y and 12
Formula
This translates to
4 / y = y/12
Explanation. The two triangles y and 4 and y and 12 are similar. The short side on the small right triangle on the left is 4. The second longest side on the same triangle is y.
In the triangle containing y and 12 The short side is y and the second side length is 12. You have to read this a couple of times to get the meaning of the two ratios.
Solution
4/y = y / 12 Cross multiply
y^2 = 4 * 12
y^2 = 48 Take the square root of both sides.
√y^2 = √48
y = √2 * 2 * 2 * 2 * 3
y = 2 * 2 * √3
Answer
y = 4√3
Answer:
y = 4√3 y = 4√3
Step-by-step explanation:
i hope it's help
Grace bought a season pass to galactic quest amusement park last summer. With the pass, she got 4 visits to the park at a discounted rate. She paid an additional $25 to upgrade her pass to have access to the arcade area. Grace spent a total or $261
Which equation can grace use to find x, the discounted rate for each park visit?
313,307,301 find the 42nd term
Answer:
-252
Step-by-step explanation:
assuming that 313, 307, and 301 are the first 3 terms..
By these three numbers we can conclude that the rule is -6
(313 - x = 307, 313 - 307 = 6.. x = 6. To check this we do the same thing but with 307 and 301. 307 - x = 301, 307 - 301 = 6, 6 = x)
We find the 42nd term by multiplying our rule by the term number (42)
-6(42) = -252
Remember that a negative times a positive is a negative, but a negative times a negative is positive.
The 42nd term of an arithmetic sequence is 72.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given, the sequence is an arithmetic sequence.
a₁ = 313
a₃ = 301 so n= 3
Remember that,
aₙ= a₁ + (n-1)d
aₙ=a₁+(n−1)d
301 = 313 + (3 -1)d
301 = 313 + (2d)
301 - 313 = 2d
-12 = 2d
d = -6
So to find a₄₂:
Then, use the same formula for n = 42
a₄₂ = 313 + (42 - 1) (-6)
a₄₂ = 313 - 246
a₄₂ = 72
Therefore, 72 is the 42nd term of an arithmetic sequence.
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Frances has 4 square baking dishes. Each pan is 7 inches × 7 inches × 2 inches. Which expression will give her the total volume of all the pans?
Answer:
4(7×7×2)
volume of all 4 pans is 392
Step-by-step explanation:
1 pan volume = 7×7×2= 98
4 pan volume = 98×4= 392
4(7×7×2)= 392
Answer:
392 i think
Step-by-step explanation:
i might be wrong but hope u get it right
The components of vector A are (10.5, 10.2). Waht is the magnitude of the vector?
Answer:
[tex]||\overrightarrow{v}||\approx14.64[/tex]
Step-by-step explanation:
The magnitude of a vector [tex]\displaystyle \overrightarrow{v}=\langle x,y\rangle[/tex] is [tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}[/tex], which essentially describes the length of the vector itself between the initial and terminal points:
[tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}\\\\||\overrightarrow{v}||=\sqrt{(10.5)^2+(10.2)^2}\\\\||\overrightarrow{v}||=\sqrt{110.25+104.04}\\\\||\overrightarrow{v}||=\sqrt{214.29}\\\\||\overrightarrow{v}||\approx14.64[/tex]