Use the law of cosines to find the value of cos. (see pic attached inside!!) Round the answer to two decimal places!
A. 0.84
B. 0.35
C. 0.23
D. 1.23
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Related Questions
there are 5 sodas, 3 grape sodas, 7 root beers, and 8 lemon lime sodas in a cooler. What is the probability of choosing a grape soda? Give your answer as a ration in its lowest terms.
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3 grape sodas / total drinks
You will need to add all the drinks together to get the total drinks
(5 + 3 + 7 + 8 = 23)
3 / 23 is your probability
This ratio cannot be simplified into lowest terms
what is this equation in slope intercept form? 4y+12x=0
Answers
4y = -12x
y = -3x
The equation 4y + 12x = 0 in slope-intercept form is y = -3x. The slope (m) is -3, and since there is no constant term, the y-intercept (b) is 0.
Explanation:The equation provided, 4y + 12x = 0, can be converted into slope-intercept form, which is represented by y = mx + b. The slope, m, indicates the steepness of the line, while the y-intercept, b, denotes the y-value when x equals zero or where the line crosses the y-axis. Let's rearrange the equation step-by-step:
First, isolate the y variable by subtracting 12x from both sides: 4y = -12x.Next, divide each side by 4 to solve for y: y = -12x / 4.This simplifies to: y = -3x.Here, the slope (m) is -3, indicating a decrease in y by 3 units for every increase of 1 unit in x. The equation does not have a b term, thereby indicating that the y-intercept (b) is 0. Hence, the slope-intercept form of the equation is y = -3x + 0, which can be simplified to y = -3x.
A basketball player scored 19 times during one game. She scored a total of 25 points, two for each two-point shot and one for each free throw. How many two point shots did she make? How many free throws?
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Answer:
Step-by-step explanation:
It said free points
A rectangle has an area of 3 square feet and a width of 1/2 foot. What is the length of the rectangle ?
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Here, A = 3
W = 1/2
Substitute it into the expression,
3 = L * 1/2
L = 3/ 1/2
L = 3/2 ft²
So, the length of the rectangle would be 3/2 ft²
Hope this helps!
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour
.
The equation t = d + 16 represents the scenario
.
The function f(t) = 16t represents the scenario.
there can be more then one answer
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The function f(t) - 16t
Both of these statements describe the relationship.
Answer:
B and E are the answers
Step-by-step explanation:
Enjoy! <3
What is 36/60 as a decimal?
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So, in decimal form, it would be 0.6
Hope it helped.
Are 37 and 65 71 82 are prime or composite number
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37=1.37 prime
71=1.71 prime
65=5.13 composite
82=2.41 composite
Claire can run 100 meters in 17 seconds. what is her speed in meters per second?
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You deposit 6000 in an account that pays 5.25 interest compounded semiannually. after 10 years, the interest rate is increased to 5.4% compounded quarterly. what will be the value of the account after 18 years. (round to the nearest dollar)
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The account value after 18 years with an initial deposit of $6,000 and a change in interest rate and compounding periods is approximately $15,526 when rounded to the nearest dollar.
Explanation:To calculate the value of the account after 18 years with a change in the interest rate and compounding periods, we need to use the compound interest formula separately for the two different periods and rates.
First, we compound the original $6,000 at 5.25% semiannually for 10 years:
A = P(1 + r/n)(nt)
A = $6,000(1 + 0.0525/2)(2*10) = $6,000(1.02625)20 = $9,984.21 (rounded)
Now, we take the amount after 10 years and compound it at 5.4% quarterly for the remaining 8 years:
A = P(1 + r/n)(nt)
A = $9,984.21(1 + 0.054/4)(4*8) = $9,984.21(1.0135)32 = $15,526.14 (rounded)
So, after 18 years, the value of the account would be $15,526 (rounded to the nearest dollar).
Explain why the graph shown may be misleading.
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As they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.
What is graph?It is defined as the data representation in visual way, and it makes the appearance of the data simpler.
As we can see in the graph:
Total of 40 compact cars, 4 of 10 each.
Total of 30 mid-size, 3 of 10 each.
And Total of 20 trucks,
However, they all appear to have the same start and end points in the graph, with the mid-sizes being longer than the compacts and the trucks being considerably larger than the others above it, virtually implying that the amounts for all are identical for that period.
Thus, as they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.
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How many atoms of oxygen are in one formula unit of Ca(No3)2?
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In the compound [tex]Ca(NO_3 )_2[/tex],the subscript, 3 implies that, there are three atoms of oxygen in the parenthesis.
The 2 outside the parenthesis tells us the nitrate[tex](NO_3)[/tex] is doubled and that each atom is also doubled.
In order to obtain the number of oxygen atoms in the compound, we have to multiply the subscript, [tex]3[/tex] of oxygen, by the subscript [tex]2[/tex] which is outside the parenthesis.
This implies that,
The number of oxygen atoms [tex]=3\times2=6[/tex]
Therefore there are [tex]6[/tex] oxygen atoms in the given compound.
What is the value of the expression when a = 4, b = 3 ,and c = 10? 3a4b−c
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Answer:
9yb
Step-by-step explanation:
When a number is divided by 5, the result is 50 more than if the number had been divided by 6. what is the number?
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[tex]30( \frac{x}{5} -50)= 30(\frac{x}{6})[/tex]
[tex]6x -1500=5x[/tex]
[tex]1500 = x[/tex]
x/5 is 50 more than x/6
x/5=50+x/6
6x/30=50+5x/30
minus 5x/30 from both sides
x/30=50
times 30 both sides
x=1500
the number is 1500
Fill in the blank: A concave polygon is ________ that _______ ...?
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A concave polygon is a polygon that has one or more interior angles greater than 180 degrees.
Which completes the syllogism? If a polygon is a square, then it has four congruent sides. If a polygon has four congruent sides, then it is a rhombus. Therefore, …
A. if a polygon is a square, then it is a rhombus.
B.if a polygon is a rhombus, then it is a square.
C.if a polygon is a rhombus, then it is a parallelogram.
D.if a polygon has four congruent sides, then it is a square.
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Answer:
Step-by-step explanation:
1.) 7, 9, 11, 13, . . . is it 2.) 2,1, 1 , 1
2 4
A.) arithmetic A.) arithmetic
B.) geometric B.) geometric
C.) both C.) both
D.) neither D.) neither
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3. All but one of the following statements contains a blunder. Which statement is correct? (a) There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight. (b) The correlation between number of seeds planted and amount of grass grown was found to be r = 0.23 acres. (c) The correlation between the gas mileage of a car and its weight is r = 0.71 MPG. (d) We found a high correlation (r = 1.09) between the height and age of children. (e) We found a correlation of r = -.63 between gender and political party preference.
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The correct statement is (a), 'There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight.' Correlation values range from -1 to +1, and units or nominal variables can't be used.
Explanation:The correct statement among the given options is (a) 'There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight.' In a correlation, the value ranges from -1 to +1 where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation. The other statements, (b), (c), (d) and (e), are blunders because the correlation value (r) in (d) exceeds +1 which is impossible, the units in (b) and (c) are incorrectly applied as correlation doesn't have physical units, and in (e), gender is a nominal variable for which correlation cannot be calculated.
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convert .98 to percent ...?
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0.98 x 100 = 98%
WriteTwo Equivalent Ratios For The Given Ratio 9/10
...?
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27/30
18/20
PLEASE ANYONE HELP MEEE!!!!
An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
A.
26 cm
B.
52 cm
C.
75 cm
D.
100 cm"
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5 = S/2*Tan(180/3), S = 17.32 cm.
P = 17.32 + 17.32 + 17.32 = 52 cm.
So your option will be the second one: B. 52 cm.
Hope this is useful
Explain why you can use subtraction to solve a division problem.
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a is congruent to bmod (n)
Note that b is remainder after a goes into n
since n|a-b
consider 5z={0,1,2,3,4}
12=2mod5 since 5|12-2 => 5|10 => 2 which is remainder of 5 into 12 two times
Which of the following is a counterexample to that statement “All prime numbers are odd”
a:The statement has no counterexamples
b:What you are trying to prove
c:The theorems you will use
d: The definitions of important vocabulary
...?
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The statement above has no counter-examples.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Which of the following algebraic equations could represent the sentence, "The product of a number and five is 11"?
a,x+ 5 = 11
b,x- 5 = 11
c,= 11
d,5x= 11
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Solve for y. y 1.05 = 7.26 y = 8.31 y = -8.31 y = 6.21 y = -6.21
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Move all terms not containing y to the right side of the equation. You should get y=6.21
How many 20 cm by 30 cm rectangular tiles would you need to tile the outdoor are shown below?
I calculated that the area of the shape is 10.95m squared, but the answer in the book (183 tiles) is different then the answer I got.
Where did I go wrong?
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The issue was inconsistent units - converting everything to cm squared, the appropriate number of 20 by 30 cm tiles to cover an area of 10.95m squared is 183.
Explanation:The problem here involves area measurement and conversions. The area of the outdoor space is given in square meters (m²), while the area of the tiles is given in square centimeters (cm²). Therefore, the first step here is to convert all measurements to the same unit.
Since 1 meter is equal to 100 centimeters, we can convert the area of the outdoor space to square centimeters by squaring 100 (which equals to 10,000) and then multiplying it by the area in square meters. That gives us 109,500 cm².
Next, to find the area of a single tile we multiply its length by its width, which is 20 cm by 30 cm, giving us 600 cm². The number of tiles needed will be the total area divided by the area of one tile. So, 109,500 cm² divided by 600 cm² equals to about 182.5.
Since we cannot have a half tile, we round up that number to 183 tiles. Therefore, the correct answer is 183 tiles.
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Please help
F(x)=x^2 +1, g(x)=5x how to solve
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x^2+1 = 5x
x^2-5x+1 = 0
using the quadratic formula from here yields
x = 4.791287848 or x = 0.208712152
which are approximate solutions
To get to work, matt walks 0.75 miles from his house to the bus stop and rides the bus 3.8 miles to his office. if he walks at a pace of 3.6 miles per hour and the bus drives at an average speed of 15 miles per hour, how long is with his commute?
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PLEASE HELP
Which is a true statement about any two congruent chords in a circle?
A. They form an angle.
B. They are perpendicular.
C. They are parallel.
D. They are equidistant from the center of the circle.
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In other words, they are the same distance away from the center
If f(x)=2x^2-x-6 and g(x)=x^2-4, find f(x)/g(x)
2x+3/x-2
2x-3/x+2
2x+3/x+2
2x-3/x-2
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To find f(x)/g(x), we factor both f(x) and g(x), and then simplify by canceling common terms. The simplified result is 2x + 3 / x + 2.
To find the quotient of two functions, f(x) and g(x), we divide the first function by the second. In this case, we have f(x) = 2x² - x - 6 and g(x) = x² - 4. The process involves the following steps:
Write the division of the two functions: f(x)/g(x).Simplify the expressions, if possible, by factoring and reducing them.We start by factoring both f(x) and g(x):
f(x) = (2x + 3)(x - 2)
g(x) = (x + 2)(x - 2)
Now we divide f(x) by g(x):
f(x)/g(x) = ((2x + 3)(x - 2)) / ((x + 2)(x - 2))
Notice that the term (x - 2) is common in both the numerator and the denominator, so we can reduce the expression by canceling out the common term, resulting in:
f(x)/g(x) = (2x + 3) / (x + 2)
The correct result is the second option: 2x + 3 / x + 2.
A rectangle has a width of 7.9 ft and a perimeter of 27.2 ft.
Enter the length of the rectangle, in decimal form, in the box.
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2(l + 7.9)= 27.2
2l + 15.8 = 27.2
2l = 11.4
l = 5.7 ft
I just had the same question and the answer was 5.7. Hope this helps somebody