Answers
If θ = 30° ; adj = 2 ; hyp = x
Then cos 30° = [tex] \frac{2}{x} [/tex]
⇒ x = [tex] \frac{1}{(cos30)(2)} [/tex]
x = 2.31
Related Questions
A book shelf is 14 inches wide there is enough space to fit 2 trophies one trophy is 2inches wider than the other how wide is the wider trophy
Answers
WILL MARK. THE BRAINLEST!!!
Trinh drew a triangle that had coordinates (1, –2), (4, –2), and (1, –4). She translated the figure 4 units left and 5 units up. What are the coordinates of the new figure?
(–4, 2), (–1, 2), and (–4, 0)
(–3, –2), (0, –2), and (–3, –4)
(–3, 3), (0, 3), and (–3, 1)
(1, 3), (4, 3), and (1, 1)
Answers
What are the zeros of f(x) = x2 – 10x + 25?
A. x = –5 and x = 10
B. x = –5 only
C. x = –5 and x = 5
D. x = 5 only
Answers
(x-5) * (x-5)
The answer is 5
The zeros of a function are also known as the roots of the function
The correct option for the zeros of f(x) = x² - 10·x + 25 is the option D.
D. x = 5 only
The reasons why the selected option is correct are given as follows:
The given equation is presented as follows;
f(x) = x² - 10·x + 25
Solution:
The zeros are the values of x when the equation is equal to zero which is given as follows;
x² - 10·x + 25 = 0
By observation, we have;
Given that the coefficient of x² is one, and we have that 25 = (-5) × (-5), and -10 = -5 + (-5), therefore, we can write;
0 = x² - 10·x + 25 = (x - 5)·(x - 5)Which gives, either x = 5 , or x = 5Therefore, the zeros of the function is 5 only, and the correct option is option D.
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Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)
Answers
[tex]\sin\dfrac{3\pi}{4}=\sin\left(\pi-\dfrac{\pi}{4}\right)=\sin\dfrac{\pi}{4}=\dfrac{\sqrt2}{3}[/tex]
Look at the picture.
[tex]\dfrac{\pi}{2} < \dfrac{3\pi}{4} < \pi\\\\therefoere\\\\\cos\dfrac{3\pi}{4} < 0\ and\ \sin\dfrac{3\pi}{4} > 0[/tex]
A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth of a foot how high off the ground is the top of the ladder?
A. 20.3 ft
B. 10.9 ft
C. 26.2 ft
D. 39.1 ft
Answers
sin θ=opposite/ hypotenuse
from the information given:
from angle of elevation we shall have θ=90-70=20°
hypotenuse=length of the ladder=32 ft
opposite,x= distance off the ground
thus plugging the values in the formula we get:
sin 20=x/32
thus
x=32 sin 20
x=10.94465 ft
x~10.9 ft
the correct answer should be 30.1 ft
The cost function for Michelle's new clothing store where she sells T-shirts is C = $10.25n + 1125. What is the slope of the cost function for Michelle's new store? A. $1125.00
Answers
The slope of the cost function for Michelle’s new store is 10.25.
This is because this equation is in slope-intercept form, y=mx + b, where m is the slope and b is the y intercept. Despite the different variables in the above equation, the idea remains the same. The slope is the coefficient on the variable n, which represents the rate of change of this function.
Hope this helps!
How many cubes are needed to build this structure?
8
7
10
9
Answers
I believe that 8 cubes are needed to build the given figure
I hope this helps!
Answer:
Option A. 8 cubes
Step-by-step explanation:
In the given structure we can count the cubes by dividing the figure in three sub parts.
Two in L shape and one below on L shape figure.
Two L shape figure contains 2×3 = 6 cubes
Cubes hidden under one L shape = 2
Then total cubes = 6 + 2 = 8
Option A. 8 cubes is the answer.
A Student said the volume of a cylinder with a 3-inch diameter is two times the volume of a cylinder with the same height and a 1.5-inch radius. What is the error?
Answers
What is the area of a regular octagon with an apothem 16 inches long and a side 19 inches long? round the answer to the nearest inch?
Answers
A = (4) * (L) * (ap)
Where,
L: side
ap: apotema
Substituting values we have:
A = (4) * (19) * (16)
A = 1216 square inches
Answer:
The area of a regular octagon with an apothem 16 inches long and a side 19 inches long is:
A = 1216 square inches
if Andy's home is worth 260,000, what is his coverage for personal property if insurance covers 50 percent?
Answers
Answer:
Amount covered by insurance = 130000
Step-by-step explanation:
Cost of Andy's home = 260000
Percentage covered by insurance = 50%
Amount covered by insurance = 50% of Cost of Andy's home
= 50% of 260000
= 0.50 * 260000 [50% written as a decimal is 0.50]
= 130000
The Correct Answer Will Get Brainliest.
Ceres is an asteroid with a mass of 8.7 x 10^20 kg that is 2.767 AU from the sun. How many kilometers away is it from the sun?
A: 4.15 x 10^8 km
B: 5.8 x 10^9 km
C: 54.21 x 10^6 km
D: 1.84 x 10^7 km
Answers
1 AU = 1.50 * 10 ^ 8 Km
Applying the conversion of units we have:
(2,767) * (1.50 * 10 ^ 8) = 415050000
Rewriting we have:
4.15 * 10 ^ 8 Km
Answer:
A: 4.15 x 10 ^ 8 km
How much would it be to get 67.1 to 73.3?
Answers
What is the area of this triangle? Enter your answer as a decimal. Round only your final answer to the nearest hundredth.
Answers
The answer is 4.6, confirming the other answerers.
Hope this helps, Kam
How do I do this one ?
Answers
Explnation:
Since all the equations are parabolas, to find which one has a maximum at (9,7) you must verify two conditons:
1) the parabola opens downwards, and
2) the vertex is (9,7)
The first condtion means that the coefficient of the quadratic term is negative.
All the equations given meet that condition.
Therefore you have to find the vertex.
The vertex of a parabola is at the point where x = - b /(2a)
So, prove one by one.
Equation b a x = -b/(2a)
-x² -18x - 88 -18 -1 - 9 ⇒ not our equation (we aim to x = 9)
(jump to the last option)
-x² + 18x - 74 18 -1 9 ⇒ y = - (9)² + 18(9) - 74 = -81+162-74=7
Therefore, the last equation is the one.
What is the linear function that best fits the data set?
Answers
Please, see the attached file.
Thanks.
Last week Jackson read 262.5 pages of a new adventure book. If he read for 5.25 hours how many pages did Jackson read per hour?
Answers
Answer: 50 pages per Hour
Step-by-step explanation:
Please help me!! Thankyou!!
Answers
A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form an open box. The volume of the box is 420 in.3.
The equation 4x3 – 72x2 + 320x = 420 can be used to find x, the side length of the square cut from each corner.
What is the side length of the square that is cut from each corner, to the nearest inch?
Answers
[tex]4x^3-72x^2+320x=420\\ 4(x^3-18x^2+80x-105)=0\\ 4(x^3-3x^2-15x^2+15x+35x-105)=0\\ 4(x^2(x-3)-15x(x-3)+35(x-3))=0\\ 4(x-3)(x^2-15x+35)=0\\ \Delta=15^2-4*1*35=85\\\\ x=3\ or\ x= \dfrac{15+ \sqrt{85}}{2} \ or\ x= \dfrac{15- \sqrt{85}}{2}[/tex]
Answer:
3 in
Step-by-step explanation:
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, which of these expressions represents the value of the most money she can borrow?
Answers
The correct option is A.
Vanessa can borrow approximately $6255.57, represented by option A: [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex].
To determine the value of the most money Vanessa can borrow with a monthly payment of $1405 for a 20-year house loan with an APR of 4.8%, compounded monthly, we can use the formula for the monthly payment of a mortgage:
[tex]\[P = \frac{M}{\frac{r}{12} \left(1 - \left(1 + \frac{r}{12}\right)^{-nt}\right)}\][/tex]
Where:
P = Principal amount (the amount she can borrow)
M = Monthly payment ($1405)
r = Monthly interest rate (APR divided by 12, or 0.048/12)
n = Number of times the interest is compounded per year (12 for monthly)
t = Number of years (20)
Now, let's plug in the values and solve for P:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-12*20}\right)}\][/tex]
Let's calculate the exponent and simplify:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-240}\right)}\][/tex]
Now, we can simplify the monthly interest rate:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1.000333333\right)^{-240}\right)}\][/tex]
[tex]\[P = \frac{1405}{0.333333 \left(1 - 0.328624967\right)}\][/tex]
Now, let's calculate the value inside the parentheses:
[tex]\[P = \frac{1405}{0.333333 \times 0.671375033}\][/tex]
[tex]\[P \approx \frac{1405}{0.22487499}\][/tex]
Now, calculate P:
P ≈ 6255.57
So, Vanessa can borrow approximately $6255.57.
The correct expression that represents the value of the most money she can borrow is:
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
The complete question is here:
Vanessa can afford a [tex]$\$ 1405$[/tex]-per-month house loan payment. If she is being offered a 20-year house loan with an APR of [tex]$4.8 \%$[/tex], compounded monthly, which of these expressions represents the value of the most money she can borrow?
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
B. [tex]$\frac{(\$ 1405)\left((1-0.048)^{240}-1\right.}{(0.048)(1+0.048)^{249}}$[/tex]
C. [tex]$\frac{(\$ 1405)\left((1-0.004)^{200}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
D. [tex]$\frac{(51405)\left((1+0.048)^{200}-1\right)}{(0.048)(1+0.048)^{240}}$[/tex].
Using the formula for monthly loan payment, we find Vanessa can borrow up to $220,000 with a 20-year loan at 4.8% APR.
To find the maximum amount Vanessa can borrow, we can use the formula for the monthly payment of a loan:
[tex]\[ P = \frac{A \times r}{1 - (1 + r)^{-n}} \][/tex]
Where:
- P = monthly payment
- A = loan amount (the value we want to find)
- r = monthly interest rate (APR divided by 12)
- n = total number of payments (number of years multiplied by 12)
Given:
- Monthly payment ( P) = $1405
- APR ( r ) = 4.8% = 0.048
- Loan term = 20 years
First, we calculate r :
[tex]\[ r = \frac{4.8}{100 \times 12} = 0.004 \][/tex]
Then, calculate n:
[tex]\[ n = 20 \times 12 = 240 \][/tex]
Now, plug the values into the formula and solve for A:
[tex]\[ 1405 = \frac{A \times 0.004}{1 - (1 + 0.004)^{-240}} \][/tex]
Solve for A:
[tex]\[ A = \frac{1405 \times (1 - (1 + 0.004)^{-240})}{0.004} \][/tex]
[tex]\[ A \approx \$220,000 \][/tex]
So, Vanessa can borrow a maximum of $220,000.
The question probable maybe:
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, What is the value of the most money she can borrow?
The square root of the quotient of a number and 6 is 9. find the number
Answers
We square both sides:
(x / 6) = 81
x = 486
Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes.
After about how many hours does the company break even?
Note: The phrase break even refers to the value where the two functions are equivalent.
1 h
5 h
2 h
10 h
Answers
y₂ = 24x² + 180
y₁ = y₂
∴ 420 + 72x = 24x² +180
∴ 24x² - 72x - 240 = 0
∴ x² - 3x -10 = 0
∴ ( x + 2)( x - 5 ) = 0
∴ x = -2 (Unacceptable) OR x = 5
∴ The correct answer is the second ⇒⇒⇒⇒⇒ 5h
What is the area of the figure? The diagram is not drawn to scale.
Answers
29 * 28 = 812
The area of a 2D form is the amount of space within its perimeter. The area of the given parallelogram is 812 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure is a parallelogram, and the area of the parallelogram is given by the formula,
Area of parallelogram = Base × Altitude
= 29 in × 28 in
= 812 in²
Hence, the area of the given parallelogram is 812 in².
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A number from 1-100 is randomly selected. What is the probability that it is a perfect square, given that is an odd number?
Answers
Probability is
5/100=1/20
A 4x4 matrix a with real entries and a4 = i, what are the possible characteristic polynomials of a
Answers
[tex]p_{\mathbf A^4}(\lambda)=\det(\lambda\mathbf I-\mathbf A^4)=\det((\lambda-1)\mathbf I)=(\lambda-1)^4[/tex]
which means [tex]\mathbf A^4[/tex] has eigenvalues [tex]\lambda=1[/tex].
We know that if [tex]\chi[/tex] is an eigenvalue of [tex]\mathbf X[/tex], then [tex]\chi^n[/tex] is an eigenvalues of [tex]\mathbf X^n[/tex].
So if [tex]\lambda=1[/tex] is the only eigenvalue of [tex]\mathbf A^4[/tex], we know that [tex]\pm\sqrt[4]\lambda=\pm1[/tex] are the only possible eigenvalues of [tex]\mathbf A[/tex]. We can construct five possible characteristic polynomials for [tex]\mathbf A[/tex] in that case.
[tex]p_{\mathbf A}(\lambda)=(\lambda-1)^4[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)(\lambda-1)^3[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)^2(\lambda-1)^2[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)^3(\lambda-1)[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)^4[/tex]
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble?
Answers
first event 12/35 times second event 10/34
12/119
Answer: first event 12/35 times second event 10/34
12/119
The following data needs to be put into a stem-and-leaf plot.36.7, 38.1, 35.4, 37.4, 39.0, 33.6, 34.7, 36.9, 38.7, 35.5, 36.8, 33.7, 34.8, 39.7, 37.2, 36.8Which list shows all the stems needed to accurately create a stem-and-leaf plot?1. 32. 3, 4, 5, 6, 7, 8, 93. 0, 1, 2, 4, 5, 6, 7, 8, 94. 33, 34, 35, 36, 37, 38, 39
Answers
With the numbers given, you should use the whole number as the stem and the decimal as the leaf.
The whole numbers are 33,34,35,36,37,38,39
Answer:
The last one. Which is choice D.
Find the area of this shape
Answers
area for the rectangle is L x w = 9 * 3.2 = 28.8
area of triangle = 1/2 x b x h = 1/2 x 11 x 9 = 49.5
total area = 28.8 + 49.5 = 78.3 square m
Classify each polynomial and determine its degree. The polynomial 3x2 is a with a degree of . The polynomial x2y + 3xy2 + 1 is a with a degree of .
Answers
Answer:
The polynomial 3x2 is a
monomial
with a degree of
2
.
The polynomial x2y + 3xy2 + 1 is a
trinomial
with a degree of
✔ 3
.
Step-by-step explanation:
this the answer on the edge
A quadrilateral has angle measures of 84°, 107°, and 58°.
What is the measure of the fourth angle?
Enter your answer in the box.
Answers
The angles in a quadrilateral add to 360°
Subtract the known angles from 360 to get the missing angle
360 - 84 - 107 - 58 = 111
The answer is 111°
Hope this helps!
Which number is irrational? A. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. B. 1 over 9 C. square root of 12 D. fraction numerator square root of 64 over denominator square root of 4 end fraction