Answers
Answer: 1) c 2) d
Step-by-step explanation:
Use Pythagorean Theorem to find the hypotenuse (r): x² + y² = r²
Given: x = 2, y = 6
2² + 6² = r²
4 + 36 = r²
40 = r²
[tex]\sqrt{40}=r[/tex]
[tex]\sin \theta=\dfrac{y}{r}\quad =\large\boxed{\dfrac{6}{\sqrt{40}}}\quad \rightarrow \dfrac{6}{2\sqrt{10}}\quad \rightarrow \dfrac{3}{\sqrt{10}}[/tex]
*******************************************************************************************
[tex]\sin \theta = \dfrac{opposite(y)}{hypotenuse(r)}\quad =\dfrac{12}{20}\quad \rightarrow \dfrac{3}{5}\quad \rightarrow \large\boxed{0.6}\\\\\\\cos \theta = \dfrac{adjacent(x)}{hypotenuse(r)}\quad =\dfrac{16}{20}\quad \rightarrow \dfrac{4}{5}\quad \rightarrow \large\boxed{0.8}[/tex]
Related Questions
A college student team won 20% of the games it played this year. If the team won 11 games, how many games did it play?
Answers
Answer:
55 games
Step-by-step explanation:
What we have to figure out is the total amount of games they played the whole year. We know they won 20% of their games, which equates to 11 games won in total. In order to find the total amount of games we will need to set up the equation [tex]g = 11/20[/tex]%. We solve this accordingly: [tex]g = (11/20) *100[/tex]; [tex]g = (.55)*100[/tex]; [tex]g = 55[/tex].
(05.02 LC)What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 4 inches, which is the base of the triangle formed by the division. 20 in2 24 in2 32 in2 36 in2
Answers
Answer:
36 in²
Step-by-step explanation:
The figure that is been described is a Parallelogram.
The area of a Parallelogram is = Base × Height
From the question, the Height of the Parallelogram = 4 inches
The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle
= 5 inches + 4 inches
= 9 inches
Area of the Parallelogram = 9 inches × 4 inches
= 36 square inches or 36 in²
Answer:
20 INCHES SQUARED
Step-by-step explanation:
Please answer it now in two minutes
Answers
Answer:
m∠C = 90°
Step-by-step explanation:
Triangle BDC is a right triangle with the measure of angle D = 90°
By applying Cosine rule in the given triangle,
Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)
CosC = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
CosC = [tex]\frac{\text{DC}}{\text{BC}}[/tex]
CosC = [tex]\frac{7}{8}[/tex]
[tex]C=\text{Cos}^{-1}(\frac{7}{8})[/tex]
C = 28.955
C = 29°
Therefore, m∠C = 29° will be the answer.
i need help with this
Answers
Answer:
Step-by-step explanation:
diameter=2×5=10 cm
32/10=3.2≈3
128/10=12.8≈12
total number of squares=12×3=36
Calculate the area of the regular hexagon ABCDEF.
A. 150 u^2
B. 259.8 u^2
C. 300 u^2
D. 519 u^2
Answers
Answer:
B. 259.8 u²
Step-by-step Explanation:
The area of a regular hexagon is given as:
[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]
Where a = side length of the hexagon
Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:
[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]
[tex] Area = \frac{3\sqrt{3} }{2}* 10^{2} [/tex]
[tex] = \frac{3\sqrt{3} }{2}* 100 [/tex]
[tex] = \frac{3*1.7321 }{2}* 100 [/tex]
[tex] = \frac{5.1963 }{2}* 100 [/tex]
[tex] = \frac{519.63 }{2} [/tex]
[tex] Area = 259.815 [/tex]
The area of the regular hexagon ≈ 259.8 u²
pls let me know what you get for the question below
Answers
Answer: 2.2532
Step-by-step explanation:
From the table attached :
Expected probability = sum of p(x) * x ; wher P-X) is the probability of x
E(p(x), x) = (0*0) + (1 * 0.06) *(2*0.1) + (3 * 0.16) * (4 *0.16)+ (5*0.26) * (6 *0.08) + (7 * 0.13) + (8 * 0.05)
Pp(x) * x) = 2.2532
Therefore, the expected value of the distribution is 2.2532
3. A CD costs £9.50 in London and
cheaper, in British money, is the CD when bought in the US?
4. An MP3 player costs €20.46 in Spain and £12.60 in the UK. Which is
the cheaper in dollars, and by how much?
in Nou Delhi is 32860 rupees.
Answers
Step-by-step explanation:
Only Q4 has clear details
therefore, solving Question 4,
1 euro = $1.17
then, €20.46 =20.46×1.17 = $23.93.
1 pound =1.28 dollars.
then, £12.60 = 12.60×1.28 =$16.128
therefore, MP3 in pound is cheaper in dollar by $7.81.
A standard deck of of 52 playing cards contains 13 cards in each of four suits : diamonds, hearts , clubs and spades. Two cards are chosen from the deck at random.
Answers
Answer:
Probability of (one club and one heart) = 0.1275 (Approx)
Step-by-step explanation:
Given:
Total number of cards = 52
Each suits = 13
FInd:
Probability of (one club and one heart)
Computation:
Probability of one club = 13 / 52
Probability of one heart = 13 / 51
Probability of (one club and one heart) = 2 [(13/52)(13/51)]
Probability of (one club and one heart) = 0.1275 (Approx)
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
EF is a median of trapezoid ABCD. What is the value of x?
Answers
Answer:
x = 4
Step-by-step explanation:
The midsegment ( median is equal to half the sum of the parallel bases, that is
[tex]\frac{AB+CD}{2}[/tex] = EF, substitute values
[tex]\frac{4x-10+3x+8}{2}[/tex] = 13 ( multiply both sides by 2
7x - 2 = 26 ( add 2 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4
What is the result of subtracting the second equation from the first? \begin{aligned} -2x+7y &= 10 \\\\ 3x+7y &= 2 \end{aligned} −2x+7y=10 3x+7y=2
Answers
Answer:
-5x = 8
Step-by-step explanation:
The result is shown here. The y-terms cancel.
[tex]\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}[/tex]
The simplified result is ...
-5x = 8
Answer:
The result is that 5x = -8
Step-by-step explanation:
Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10
Mathematically that would be;
(-2x+7y)-(3x+7y) = 10-2
-2x + 7y -3x -7y = 8
-2x -3x + 0 = 8
-5x = 8 or 5x = -8
Please help me, im in desperate need of help for these questions
Answers
Answer:
For the first one, answer is dilation of 2
Step-by-step explanation:
you see the coordinates for triangle A'B'C' are all doubled the coordinates of triangle ABC
these cones are similar. find the volume of the smaller cone. round to the nearest tenth.
Answers
Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = [tex]\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}[/tex]
= [tex]\frac{r_2}{r_1}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
[tex]\frac{V_1}{V_2}=(2.5)^3[/tex]
[tex]\frac{131}{V_2}=15.625[/tex]
[tex]V_2=\frac{131}{15.625}[/tex]
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
How much does a composition notebook weigh?
Answers
Answer:
11.2 ounces
Step-by-step explanation:
In the picture down below
Answers
Answer:
b
Step-by-step explanation:
trust me
Answer:
A
Step-by-step explanation:
if (x)= 2x square minus 1,then f(-3)
Answers
Answer:
17.
Step-by-step explanation:
f(x) = 2x^2 - 1
f(-3) = 2(-3)^2 - 1
= 2 * 9 - 1
= 18 - 1
= 17
Hope this helps!
Hope it will help u....
Determine the equation of the line that is parallel to y=23x+4 and passes through the point (3,7).
Answers
Answer: y = 23x - 62
Step-by-step explanation:
Parallel lines have the same slope.
y = 23x + 4
m=23 b=4
Input x = 3, y = 7, & m = 23 into the Point-Slope formula to find the equation or the Slope-Intercept formula to find b (you already have m). I will choose the latter.
y = mx + b
7 = 23(3) + b
7 = 69 + b
-62 = b
m = 23, b = -62 --> y = 23x - 62
Which shows the rational expression written using the least common denominator?
x+1/4x^2 + x+1/x^2
A) x+1/4x^2 + 4(x+1)/4x^2
B) x+1/x^2 + x+1/x^2
C) x+1/x^2 + 4(x+1)/x^2
D) x+1/4x^2 + x+1/4x^2
Answers
Answer:
(x + 1)/4x² + 4(x + 1)/4x²
Step-by-step explanation:
x+1/4x² + x+1/x²
The above can be simply as follow:
Find the least common multiple (LCM) of 4x² and x². The result is 4x²
Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:
(4x² ÷ 4x²) × (x + 1) = x + 1
(4x² ÷ x²) × (x + 1) = 4(x + 1)
x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²
= (x + 1)/4x² + 4(x + 1)/4x²
Therefore,
x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²
Answer: A
Step-by-step explanation:
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches.
Answers
Answer:
[tex]\sqrt{16}[/tex] = 4
[tex]\sqrt{25}[/tex] = 5
16x^2 - 40x + 25
= (4x - 5)^2
Hope this helps!
Answer:
4x-5, B
Step-by-step explanation:
EDGE 2020
What degree of rotation about the origin will cause the triangle below to map onto itself?
Answers
Answer:
=360
explanation:
When you’re talking about rotation you go counterclockwise and each quadrant is another 90 degrees.
Answer:
360
Step-by-step explanation:
Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary calculator
Answers
This is not the question, the correct question is:
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores.
Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answer: The numerical limits for grade B is 81 and 92
Step-by-step explanation:
Given that
mean Ж = 79
Standard deviation S = 8.4
B: Scores below the top 6% and above the bottom 59%
To find the numerical value for Grade B
Below the top bottom 6% ( 0.06) is
p ( X < Ж ) = 1 - 0.06
p ( X < Ж ) = 0.94
therefore
P( (X - ц)/S < (X - Ж) / S)) = 0.94
(X - 79) / 8.4 = 1.5548 ( from normal distribution table )
X - 79 = 13.0603
X = 13.0603 + 79
X = 92.06 ≈ 92 ( nearest whole number)
Above bottom 59% ( 0.59) is
p ( X < Ж ) = 0.59
therefore
P( (X - ц)/S < (X - Ж) / S)) = 0.59
(X - 79) / 8.4 = 0.2275 ( from normal distribution table )
X - 79 = 1.9114
X = 1.9114 + 79
X = 80.91 ≈ 81 ( nearest whole number)
So the numerical limits for grade B is 81 and 92
Simplify.
N4 x N7 over n5
Answers
Answer:
[tex]n^6[/tex].
Step-by-step explanation:
[tex]n^4 * \frac{n^7}{n^5}[/tex]
= [tex]n^4 * n^{7 - 5}[/tex]
= [tex]n^4 * n^2[/tex]
= [tex]n^{4 + 2}[/tex]
= [tex]n^6[/tex].
Hope this helps!
what is the equation of 7/12=blank×1/2
Answers
Answer: x = [tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
7/12 = 1/2x
Multiply by 2
14/12=x
x = 1 1/6
Hope it helps <3
Allison accumulated $7,000 in credit card debt. If the interest rate is 15% per year and she does not make any payments for 3 years, how much will she owe on this debt in 3 years for quarterly compounding? Round your answer to two decimal places.
Answers
Answer:
Allison will owe $10,888.50 in 3 years
Step-by-step explanation:
FV=PV(1+r/n)^nt
Where,
PV=$7000
r=15%=0.15
n=quarterly=4
t=3 years
FV=PV(1+r/n)^nt
=7000(1+0.15/4)^4*3
=7000(1+0.0375)^12
=7000(1.0375)^12
=7000(1.5555)
=10,888.50
To 2 decimal places=$10,888.50
Allison will owe $10,888.50 in 3 years
Answer:
$10,888.20
Step-by-step explanation:
Order of Operations: BPEMDAS
Compounded Interest Rate Formula: A = P(1 + r/a)ᵃᵇ
A = Final Amount
P = Initial Amount
r = rate
a = Compounded number
b = time
Step 1: Define
P = 7000
r = 15% = 0.15
a = 4
b = 3 years
Step 2: Solve for A
Substitute: A = 7000(1 + 0.15/4)⁴⁽³⁾Parenthesis: A = 7000(1.0375)⁴⁽³⁾Exponents: A = 7000(1.0375)¹²Exponents: A = 7000(1.55545)Multiplication: A = 10888.20At the end of the 3 years that elapsed, Allison will have to pay a final debt of $10,888.20.
please hellppp ......
Answers
Answer:
BC = 11.9Step-by-step explanation:
To solve for BC we use sine
sin ∅ = opposite / hypotenuse
From the question
AC is the hypotenuse
BC is the opposite
So we have
sin 58 = BC / AC
sin 58 = BC / 14
BC = 14 sin 58
BC = 11.87
BC = 11.9 to one decimal place
Hope this helps you
Answer:
[tex]\boxed{BC = 11.9 \ cm}[/tex]
Step-by-step explanation:
Sin A = [tex]\frac{opposite}{hypotenuse}[/tex]
Where A = 58°, Opposite = BC and AC = 14 cm
Sin 58 = [tex]\frac{BC}{14}[/tex]
BC = 0.848 * 14
BC = 11.9 cm
Enter the correct answer in the box. What is the standard form of function
Answers
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand (x + 6)² using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Answer:
[tex]f(x)=4x^{2} +149[/tex]
Step-by-step explanation:
Start off by writing the equation out as it is given:
[tex]f(x)=4(x+6)^{2} +5[/tex]
Then, get handle to exponent and distribution of the 4 outside the parenthesis:
[tex]f(x)=4(x^{2} +36)+5\\f(x)=4x^{2} +144+5[/tex]
Finally, combine any like terms:
[tex]f(x)=4x^{2} +149[/tex]
21.(03.02)
If f(x) = 7x – 1, what does f(12) represent?
Answers
Answer:
83
Step-by-step explanation:
f(x) = 7x - 1
Put x as 12.
f(12) = 7(12) - 1
f(12) = 84 - 1
f(12) = 83
An inverse variation includes the point (4,17). Which point would also belong in this inverse variation?
Answers
Answer:
(2, 34 )
Step-by-step explanation:
Since the points vary inversely then half the x, means double the y, thus
(2, 34) or (1, 68 ) would also belong in this inverse variation
find answer is fast friends
Answers
Answer:
see explanation
Step-by-step explanation:
The restriction a ≠ 0 and b ≠ 0 is applied since division by zero would make
[tex]\frac{a}{b}[/tex] and its reciprocal [tex]\frac{b}{a}[/tex] undefined, thus meaningless
Volume of a Triangular Prism
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Answers
Answer:
Volume of prism = 240 ft²
Step-by-step explanation:
Given:
Base of prism (B) = 10 ft
Length of prism (L) = 8 ft
Height of prism (H) = 6 ft
Find:
Volume of prism
Computation:
Volume of prism = [BHL] / 2
Volume of prism = [(10)(8)(6)] / 2
Volume of prism = [480] / 2
Volume of prism = 240 ft²
HELP ASAP PLEASE!!!
A) The range for this function is the set
B)the domain of this function is all real numbers
C) The domain for this function is the set 3
D)All real numbers are in range of this function
E) it’s in the picture
Answers
Answer:
A and C
Step-by-step explanation:
The line is at 3, and no number is within reach except 3. So the answer is A and C.
