Answers
[tex] \frac{ \sin(a) }{a} = \frac{ \sin(b) }{b} = \frac{ \sin(c) }{c} [/tex]
therefore we can evaluate our knowns:
<G =74° with side unknown g
<H=58° with side 54
so we can set up the proportion
[tex] \frac{ \sin(74) }{g} = \frac{ \sin(58) }{54} [/tex]
then cross multiply and get the value of g
[tex]g \times \sin(58) = 54 \times \sin(74) [/tex]
therefore we get the value of g as
[tex]61.2 \: yards[/tex]
Related Questions
How many points did the team score in the 11th game and why?
Answers
The team's point total after 11 games was 11*33 = 363.
The team scored 13 points in game 11.
NEED HELP PLZZ!!! Question 1. What are the dimensions of the matrix? {6,2,8,3}
A:1x4
B:1x1
C:4x4
D:4x1,
Answers
_____
My calculator might recognize this as a vector (or a list of 4 elements). It would like double brackets to make it a matrix: [[6,2,8,3]] with 1 row. My math program would treat it as either a 1x4 vector or a 4x1 vector depending on the expression it might get used in.
You need to consult your text or other curriculum material to determine the intended meaning of this expression.
sin A=0.7245
A=
sin D=0.4567
D=
Answers
If you don't have a calculator, the next, more complex way would be to interpolate a table of sines and find the value of the angle whose sine is 0.7245. That is the method that was most widely used before the invention of hand held calculators and after sine tables had been published.
The next, most complex way would be to evaluate terms in the infinite series representation of the arcsine function which is the way the sine tables were developed for publication. That series is
arcsin(x) = x + x³/6 + (3/40)x^5 + (15/336)x^7 + ...
The result for any of those methods would be B = 46.4°
Geometrically, you could:
1) Draw a circle of known radius, R. centered at the origin of a rectangular coordinate system
2) Draw a line parallel to the x axis a distance 0.7245R above the x-axis
3) Draw a line connecting the origin to the rightmost point of intersection between the circle 1) and the line 2).
4) Measure the angle between the line 3) and the +x axis.
The Angle 4) will be the measure of the angle whose sine is 0.7245.
That explains four ways you can find the measure of the angle whose sine is 0.7245.
What is a possible value for the missing term of the Geometric sequence. 50_450
Answers
r= x/50= 450/x
x^2 = 22500
x = 150
Answer: The missing term of the Geometric sequence can be 150.
Step-by-step explanation:
Let the missing number is x,
Hence, the G.P. will,
50, x, 450
Since, the consecutive element of G.P. are in same ratio,
[tex]\implies \frac{x}{50}= \frac{450}{x}[/tex]
[tex]\implies x^2 = 50\times 450 = 22500[/tex]
[tex]\implies x = 150[/tex]
Thus, the missing term of the Geometric sequence can be 150.
Find the values of a and b for which LMNO is a parallelogram.
A.
a = 50, b = 60
B.
a = 60, b = 50
C.
a = 50, b = 70
D.
a = 70, b = 50
Answers
steve paid 10% tax on a purchase of 40$ . select the dollar amount of the tax ad the total dollar amont steve paid on the number line.
Answers
The total paid is 40 + 4 = $44
The owner of a shop bought a scarf at the wholesale price of $8.00 and marked it up by 300%. What is the selling price?
Answers
what is the factored form of 3c²+24c+48 ?
Answers
3(c^2+8c+16)
16 can be rewritten as 4^2 to get:
3(c^2+8c+4^2)
4+4 = 8 ( the middle number)
so the factor would be 3(c+4)^2
As 25 foot building casts a 8 foot shadow. How tall is the building that casts a 20 foot shadow at the same time?
Answers
The general form of the equation of a circle is x2 + y2 + 8x + 22y + 37 = 0.
The equation of this circle in standard form is
HELP WILL MEDAL,
Answers
A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2
Answers
[the area of the rectangle]=L*W
L=1/3 yd
W=2/3 yd
[the area of the rectangle]=1/3*2/3---------> 2/9 yd²
the answer is 2/9 yd²
Answer:
2/9
Step-by-step explanation:
Describe the trend in the scatter plot.
not enough information because the trend line is unclear
positive correlation
no correlation
negative correlation
Answers
Answer:
No correlation.
Step-by-step explanation:
A Scatter (XY) Plot has points that show the relationship between two variables.
Scatter plots use a collection of points placed using Cartesian coordinates to show values of two variables. By showing a variable on each axis, it can be detected if there is a relationship or correlation between the two variables.
Several types of correlation can be interpreted through the patterns shown in the scatter diagrams. These are: positive (values increase together), negative (one value decreases as the other increases), null (no correlation).
In the case presented, it can be clearly seen that the variables have no correlation, because the trend is not that the points form a straight line, but that there is too much dispersion.
So, the answer is:
No correlation.
Hope this helps!
PLEASE HELPME QUICKLY QUICK
Answers
What is the square root of 64y^16?
Answers
The square root of the given algebraic expression [tex]64y^{16}[/tex] is [tex]\bold{8y^8}[/tex]
What is an algebraic expression?"It is a mathematical statement which consists of numbers, variables and mathematical operations."
For given question,
We have been given an algebraic expression [tex]64y^{16}[/tex]
We need to find the square root of given algebraic expression.
[tex]\Rightarrow \sqrt{ 64y^{16}}\\\\= \sqrt{ 64\times y^{16}} \\\\=\sqrt{64} \times \sqrt{y^{16}} \\\\=8\times (y^{16})^{\frac{1}{2} }\\\\=8\times y^{\frac{16}{2} }\\\\= 8\times y^8[/tex]
Therefore, the square root of the given algebraic expression [tex]64y^{16}[/tex] is [tex]\bold{8y^8}[/tex]
Learn more about the algebraic expression here:
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What is the value of n?
Answers
The product (4 cm)*(6 cm) is equal to the product (3 cm)*(n).
solve the equation x-5=15 and state Euclid's axiom used
Answers
[tex]x = 15 + 5[/tex]
[tex]x=20[/tex]
If equals are added to equals, the the remainders are equal.
Hope this helps !
Photon
25, 8, 10, 35, 5, 45, 40, 30, 20 What is the upper quartile of the data set above?A.35
B. 37.5
C. 37
D. 40,
Answers
The area of a rectangle is 10r (squared) − 11r − 6. The width is 2r − 3. What is the length?
Answers
so
A = (2r - 3)(5r +2)
as you know A = L * W
if width = (2r - 3) then length = (5r +2)
answer
length = (5r +2)
The length of the rectangle whose area is (10r² − 11r − 6) and the width is (2r−3) is (5r+2).
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
Area of rectangel = Length × Width
Given that the area of a rectangle is 10r² − 11r − 6, while the width is 2r − 3. Therefore, it can be writen as,
[tex]\text{Area = Length}\times\text{Width}\\\\10r^2 - 11r - 6 = \text{Length} \times (2r - 3)\\\\\text{Length} = \dfrac{10r^2 - 11r - 6}{2r-3}\\\\\text{Length} = 5r+2[/tex]
Hence, the length of the rectangle is (5r+2).
Learn more about Rectangle:
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5x2=5x^2 4x2+4x^2
1. What values of a, b, and c would you use in the quadratic formula for the following equation? 5x2+9x=4
2. attachment
3. What are the approximate solutions of 2x2-x+10=0?
4. Solve the equation using the quadric formula. 4x2+3x-10=0
5. Solve the equation using the quadric formula. -x2+27=6x
6. Which method is the best method for solving the equation? 8x2-13x+3=0
7. How many solutions are there for 5x2+7x-4=0?
8. The perimeter of a rectangle is 54 cm. The area of the same rectangle is 176 cm2. What are the dimensions of the rectangle?
Answers
2.) C
3.) No solution
4.) x=-2, x=1.25
5.) x=-9, x=3
6.) quadratic formula
7.) 2
8.) 11cm by 16cm
100% for The Quadratic Formula and the Discriminant practice
1. The equation 5x^2+9x=4, can be rewritten as 5x^2+9x-4=0, where a=5 (the coefficient of the quadratic term), b = 9 (the coefficient of the linear term) and c = -4 (the independent term).
2. No attachment is shown.
3. To use the quadratic formula, the coefficients are: a = 2, b = -1 and c = 10. However, the discriminant, i. e., b^2 -4(a)(c) is negative, therefore, there is no real solution.
4. You have to use the quadratic formula, with a = 4, b = 3 and c = -10, as follows:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-3 \pm \sqrt{3^2 - 4(4)(-10)}}{2(4)} [/tex]
[tex]x = \frac{-3 \pm \sqrt{169}}{8} [/tex]
[tex]x_1 = \frac{-3 + 13}{8} [/tex]
[tex]x_1 = \frac{5}{4} [/tex]
[tex]x_2 = \frac{-3 - 13}{8} [/tex]
[tex]x_2 = -2 [/tex]
5. Rewriting the formula, so that all the terms are on one side and ordering the polynomial expression, gives: -x2-6x+27=0. Here a = -1, b = -6 and c = 27. Using the quadratic formula gives
[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{6 \pm \sqrt{6^2 - 4(-1)(27)}}{2(-1)} [/tex]
[tex]x = \frac{6 \pm \sqrt{144}}{-2} [/tex]
[tex]x_1 = \frac{6 + 12}{-2} [/tex]
[tex]x_1 = -9 [/tex]
[tex]x_2 = \frac{6 - 12}{-2} [/tex]
[tex]x_2 = 3 [/tex]
6. When the second grade polynomial has all of its coefficients (a, b and c) different than zero, like this case, the best method for solving the equation is the quadratic formula .
7. When the discriminant is greater than zero, there are two different solutions and when it is equal to zero, it has one double solution.
The discriminant for this case is 7^2 - 4(5)(-4) = 129. So, there are two different solutions .
8. Let's call the sides of the rectangle a and b.
perimeter formula: 2a + 2b = 54 cm (eq. 1)
area formula: (a)(b) = 176 cm2 (eq. 2)
Isolating a in equation 1, gives (units are omitted):
2a + 2b = 54
2a = 54 - 2b
a = 27 - b (eq. 3)
Replacing equation 3 into equation 2, gives (units are omitted):
(a)(b) = 176
(27 - b)(b) = 176
-b^2 + 27b - 176 = 0
Using quadratic formula, we get
[tex]x = \frac{-27 \pm \sqrt{27^2 - 4(-1)(-176)}}{2(-1)} [/tex]
[tex]x = \frac{-27 \pm \sqrt{25}}{-2} [/tex]
[tex]x_1 = \frac{-27 + 5}{-2} [/tex]
[tex]x_1 = 11 [/tex]
[tex]x_2 = \frac{-27 - 5}{-2} [/tex]
[tex]x_2 = 16 [/tex]
Then, there are two possible values for b, 11 cm and 16 cm. Replacing these values into equation 3 gives:
a = 27 - 11 = 16 cm
a = 27 - 16 = 11 cm
Therefore, the two sides are 11 cm and 16 cm long, despite their names.
Hurry please I need the answer right away soo send me math work answers my friend said it's 42? Is it right
Answers
Hope i helped :)
how can you eliminate fraction from each side of the equation to make finding the solution easier 1/2(x-4)=1/3x+2
Answers
___
The above approach always works. You likely have been told to multiply by the least common denominator, which in this case is the same thing.
If you don't take the trouble to find the least common denominator, at some point you will be factoring out a common factor. (You may be doing that anyway.)
1/2(x-4)=1/3x+2
3(x -4) = 2x +12
x = 24
Adeeb bought 5 oranges and 15 apples from the farmer's market. The equation 5r+15a=10.5 represents the amount of money he spent. Faye bought 12 oranges and 11 apples, represented by the equation 12r+11a=11.45 . What was the cost of each apple
Answers
cost of an apple = a
Adeeb bought;
amount of oranges - 5
amount of apples = 15
the equation for the amount he spent
5r + 15a = 10.5
Faye bought
oranges - 12
apples - 11
the equation for the amount he spent
12r + 11a = 11.45
set of simultaneous equation
5r + 15a = 10.5 ---> 1)
12r + 11a = 11.45 ---> 2)
divide by the first equation by 5
r + 3a = 2.1--> 3)
Multiply third by 12
12r + 36a = 25.2 ---> 4)
subtract 2nd equation from the 4th
25a = 13.75
a = 0.55
substituting a = 0.55 in 3rd equation
r + 3*0.55 = 2.1
r = 2.1 - 1.65
r = 0.45
price of an orange = 0.45
price of an apple = 0.55
Regular Polygons multiple choice
I think it's a - 60 but I'm not sure
Answers
Name the sets of numbers to which -1/2 belongs
A.integers,rational numbers
B.whole numbers,natural numbers, integers
C.whole numbers,integers,rational numbers
D.rational numbers
Answers
A cylinder has a radius of 12 m and a height of 9 m.
What is the exact volume of the cylinder?
108π m³
216π m³
972π m³
1296π m³
Answers
V = π(12)²(9)
V = 1296π³
So the correct answer is 1296π³
I'm pretty sure its 1296π m³ Hope this helps!
Calculate the monthly finance charge based on the following data: Average daily balance = $40.00 Daily periodic rate = 0.06% (state as a decimal) Days in cycle = 25
Answers
This is calculated by multiplying the daily balance by the daily rate (as a decimal) and then multiplying by the number of days in the billing cycle.
0.06%=0.06/100 = 0.0006
40(0.0006)(25) = 0.6 or $0.60.
Answer: 60 cents
Step-by-step explanation:
Mr. Jimenez deposited money into an account in which interest is compounded quarterly at a rate of 2.6%.
How much did he deposit if the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals?
Formula Is : A = P ( 1 + r/n ) ^ n * t
Answer Choices:
a. $6455
b. $6798
c. $6887
d. $6977
Answers
A is the amount after t years, P is the amount originally deposited, r is the interest rate, and n is how often the interest is compounded per t.
Plug in what we know and solve for P:
[tex]7160.06=P(1+ \frac{0.026}{4})^{(4)(4)} [/tex]
P = [tex] \frac{7160.06}{(1+ \frac{0.026}{4} )^{16}} = 6454.999 [/tex]
Answer:
Option a. [tex]\$6,455[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=4\ years\\ A=\$7,160.06\\ r=0.026\\n=4[/tex]
substitute in the formula above and solve for P
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]P=7,160.06/1.109227=\$6,455[/tex]
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answers
cos(22)=x/11
.927=x/11
X=10.199
Under which market structure does a firm have negligible influence over product pricing
Answers
Perfect competition describes a market structure, where a large number of small firms compete against each other. In this type of market a single firm does not have any significant market power. As a result the industry as a whole produces the socially optimal level of output, because none of the firms have the ability to influence market prices. The idea of perfect competition is built on a number of assumptions which includes: all firms maximize profits, there is free entry and exit to the market, all the firms sell completely identical goods and there are no consumer preferences. This is an ideal market.
Answer:
perfect competition
Step-by-step explanation:
because i did the test.
Can someone solve this and show your work
g=6x
Solve for X
Answers
to solve for x divide both sides by 6
x = g/6