4. Given a = 10.2, A = 122 degrees, and b = 6.8, use the Law of Sines to solve for B. Round your answer to the nearest degree.
5. Given a = 15, A = 36 degrees, and B = 70. use the Law of Sines to solve for b. Round your answer to the nearest whole number.
6. Given a = 9, b = 4, and c = 7, use the Law of Cosines to solve for A. Round your answer to the nearest degree.
Answer:
4) 34° (nearest degree)
5) 24 (nearest whole number)
6) 107° (nearest degree)
Step-by-step explanation:
Please see the attached picture for the full solution.
Q6: 107° is the angle in the 2nd quadrant.
(180° -73.398°≈ 107°)
Picture 2: Law of Sines
5. Write the equation in slope-intercept form that
is parallel to y = 4x - 2 and goes through the
point (-2, 3).
Answer:
y=4x+11
Step-by-step explanation:
Same slope because the lines are parallel
help pls? show work!!
Answer:
x = 19; y = 19√3
Step-by-step explanation:
sin 30° = opp/hyp
sin 30° = x/38
x = 38 × sin 30°
x = 19
cos 30° = adj/hyp
cos 30° = y/38
y = 38 × cos 30°
y = 38 × √3/2
y = 19√3
A block measures 8 cm x 5 cm x 4 cm. On which face will it exert the least pressure? Explain how you know.
Answer 4 cm because least
Step-by-step explanation:
because it is the leats so that is ir.
What is the median of the data displayed in this box-and-whisker plot?
84.0
99.5
113.0
143.0
Answer: 113
Step-by-step explanation:
The median is the dot with the line through it in the middle of the box: so it is 113
Select Not independent or Independent for each situation.
- A jar contains green marbles and orange marbles. A green marble is selected followed by an orange marble, at random, without replacement.
- A coin is flipped three times.
- A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement.
- A number cube is rolled twice.
"Not independent" means that the situation is dependent. It is not relying on something else, or something else will not change the outcome. Independent means the situation is isolated, it is independent.
A jar contains green marbles and orange marbles. A green marble is selected followed by an orange marble, at random, without replacement.
Not independent
-> Since the marbles are not being replaced, this isn't independent
A coin is flipped three times.
Independent
A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement.
Independent
-> Because there is replacement, this is independent
A number cube is rolled twice.
Independent
I need help please
Answer:
C
Step-by-step explanation:
A. 3:7 is not equal to 5:14 because both of these options are in their lowest value and are not equal.
B. 8:6 is not equal to 6:8 because 8 is not equal to 6 and 6 is not equal to 8.
C. 1:4 is equal to 5:20 because 1:4 can be multiplied by 5 to be 5:20 and 5:20 is equal to 5:20.
D. 5:3 is not equal to 12:5 because 5 is not equal to 12 and 3 is not equal to 15.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
PLEASE HELP
Which term represents the stage when the cytoplasm of a cell divides?
Cytokinesis
Interphase
Mitosis
Prophase
Answer: Cytokinesis
Step-by-step explanation:
Hope this helped :)
Answer:
Try Cytokinesis
Step-by-step explanation:
This might help!
mrs. hughes has 1/4 of a pan of spaghetti left over. She brought it to school and the 6 fifth grade teachers shred it what fraction of the pan of spaghetti did each teacher get?
The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?
Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance. (a straight up answer)
Answer:
Step-by-step explanation:
D is correct
Answer: D
Step-by-step explanation:
If the perimeter in the rectangle.is 18 inches, find the length of the sideshow
Answer:
5 inches and 4 inches
Step-by-step explanation:
The perimeter is equal to 2(2x + 1) + 2(x + 2) since there are two sides of the rectangle equal to the expressions given.
Since we also know that the perimeter is 18 inches, we can set that equal to 18.
2(2x + 1) + 2(x + 2) = 18
4x + 2 + 2x + 4 = 18
6x + 6 = 18
6x = 12
x = 2
After plugging 2 back into 2x + 1 and x + 2, you get 5 and 4. Hope this helped!
Joy decided to ride her bike to visit her friend, Three miles from home her bike got a flat tire and she had to walk the remaining two miles to Justin's home. She could not repair the tire and had to walk all the way home. How many miles did Joy walk than she rode? They got the answer 4 but I am not sure how?
Answer:
4
Step-by-step explanation:
okay, so she rode 3 miles. Keep that aside
Then she had 2 walk the remaining 2 miles
She had to walk all the way home. So say for example instead of riding she walked 3 miles, then she walked that additional 2 miles. So, 5 miles. Then add the two miles she had to walk to his house. so, she walked 7 miles and rode 3 miles. 7-3= 4 miles. I attached a picture that should hopefully explain it better.
Hope this helps!
How do signs of factors affect their product?
Answer:
If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.
Step-by-step explanation:
Which statement is false?
0.8 = 3/5
2/3 > 0.34
2.375 > 2 1/4
3 8/11 < 3 12/13
Answer:
Step-by-step explanation:
0.8 = 3/5
3/5 = 6/10 = .6
FALSE
2/3 > 0.34
2/3 = .333333...
FALSE
2.375 > 2 1/4
2 1/4 = 2.25
TRUE
3 8/11 < 3 12/13
3 8/11 = 3.727272
3 12/13 = 3.9231
TRUE
What the answer to number 3 is
Answer:
is proof an option?
Step-by-step explanation:
A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm. a. What is the volume of the scoop of ice cream? Show all your work. b. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.
Please help me
Answer:
a. 462
b. 49
Step-by-step explanation:
take pie as 22/7
a. volume= π r² h/3
22/7 × 3² × h/3
22/7 × 3 × h
22/7×3
cross multiply
462
b. h= 3 × v/π r²
3 × 462 over 22/7 × 3²
multiply each term by 7
7×3×7×462over22/7×3²
21×462over22×3²
21/1×462/198
= 9702/198
= 49
What is the y-intercept of the function f(x) = -2/9x + 1/3
Answer:
1/3
Step-by-step explanation:
It’s in the form y=mx+b
b is the y intercept
Quadrilaterals ABCDABCDA, B, C, D and KLMNKLMNK, L, M, N are congruent. Which of the following sequences of transformations maps KLMNKLMNK, L, M, N onto ABCDABCDA, B, C, D? Sequence A Sequence B A translation along the directed line segment \overline{MA} MA start overline, M, A, end overline, then a reflection over the horizontal line through point AAA. A reflection over the vertical line through point NNN, then a translation along the directed line segment \overline{NB} NB start overline, N, B, end overline. Choose 1 answer: Choose 1 answer:
Answer:
D
Step-by-step explanation:
I did it and got it right on khan
Answer:
D, Neither
Step-by-step explanation:
What is the slope of the line passing through the points (4, -3) and (1, -3)? *
Answer:
[tex]\huge\boxed{\sf Slope = 0}[/tex]
Step-by-step explanation:
[tex]\sf Slope = \frac{rise}{run} \\\\Slope = \frac{y2-y1}{x2-x1} \\\\Given\ the\ coordinates\ (4,-3) \ and \ (1,-3)\\\\ x1 = 4 ,\ y1 = -3 ,\ x2 = 1 ,\ y 2 = -3\\\\So,\\\\Slope = \frac{-3-(-3)}{1-4} \\\\Slope = \frac{0}{-3} \\\\Slope = 0\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Twice the sum of a number and 7
Answer:
2 · (n + 7)Step-by-step explanation:
The sum of a number n and 7 → n + 7
Twice the sum of a number n and 7 → 2 · (n + 7)
In the picture at right, lines l and m are parallel. The measure of angle
Answer:
Angle APB is 95∘
Step-by-step explanation:
180 - 54 = 126
126 - 31 = 95
Answer:
145 Degree
Step-by-step explanation:
it is a reflex angle and all reflex angle measures at 145 Degrees
Solve for r in terms of q, s, and t
T=r-q+s
R=
Answer:
r = t + q - s
Step-by-step explanation:
t = r - q + s
goal is to isolate the variable
add q to both sides (this cancels the q out on the right side)
t + q = r - q + q + s
t + q = r + s
subtract s from both sides
t + q - s = r + s - s
t + q - s = r
In other words:
r = t + q - s
pls answer this correctly I need it now!
Answer:
1. C
2. B
3. D
4. A
Step-by-step explanation:
1. As mentioned in the last sentence of the passage, the main goal of the problem is to figure out how long it took John to get ready.
2/3/4. The goal is to find the amount of time John took to get ready and to obtain that time you need to use 6:10-5:30=n. After solving the number sentence, you should get 40 minutes.
A bag contains five Snickers bars, nine Milky Way bars, two Crunch bars,
and twelve Twix bars. If Jack randomly selects a candy bar, eats it, then
randomly selects another, find the probability that both candy bars were
Milky Way.
Answer:
about a 9.5 percent chance of both being a milky way
Step-by-step explanation:
Probability that both candy bars were milky way is [tex]\frac{2}{21}[/tex]
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur
Given,
Number of snickers bars = 5
Number of Milky way bars =9
Number of crunch bars = 2
Number of Twix bars = 12
Total number of Candy bars = 5+9+2+12 =28
If Jack randomly selects a candy bar, eats it, then randomly selects another
Probability = Number of favorable outcome / Number of total outcome
Probability of taking Milky way bar in first pick = [tex]\frac{9}{28}[/tex]
So Total number of candy bars and number of Milky way bar are decreased by 1.
Probability of taking Milky way bar in second pick = [tex]\frac{8}{27}[/tex]
Probability that both candy bars were milky way = [tex](\frac{9}{28}).(\frac{8}{27})=\frac{2}{21}[/tex]
Hence, Probability that both candy bars were milky way is [tex]\frac{2}{21}[/tex]
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A triangle has an area of 66 in2. If the base is 11 inches, what is the height?
[tex] \Large{\boxed{\sf Height = 12 \ in}} [/tex]
[tex] \\ [/tex]
Explanation:The area of a triangle is given by the following formula:
[tex] \\ [/tex]
[tex] \left[ \begin{array}{c c c} \underline{\tt Area \ of \ a \ triangle \text{:}} \\ ~ \\ \tt A = \dfrac{B \cdot H}{2} \end{array} \right] [/tex]
Where:
A is the area of the triangle.B is the base.H is the height.[tex] \\ [/tex]
[tex] \Large{\boxed{\sf Given \text{:} } \ \begin{cases} \sf A &=\sf 66 \ in^2 \\ \sf B &=\sf 11 \ in \end{cases} } [/tex]
[tex] \\ [/tex]
Substitute these values into the formula and solve for H.
[tex] \sf A = \dfrac{B \cdot H}{2} \\ \\ \\ \longrightarrow \sf 66 \ in^2 = \dfrac{11 \ in \cdot H}{2} [/tex]
[tex] \\ [/tex]
Multiply both sides by 2:
[tex] \longrightarrow \sf 66 \ in^2 \cdot 2 = \dfrac{11 \ in \cdot H}{2} \cdot 2 \\ \\ \\ \longrightarrow \sf 132 \ in^2 = 11 \ in \cdot H [/tex]
[tex] \\ [/tex]
Divide both sides by 11in :
[tex] \longrightarrow \sf \dfrac{132 \ in^2 }{11 \ in } = H \\ \\ \\ \longrightarrow \boxed{\boxed{\sf H = 12 \ in}} [/tex]
[tex] \\ [/tex]
[tex] \hrulfill [/tex]
[tex] \\ [/tex]
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A triangle has an area of 66 in². If the base is 11 inches, what is the height?
Answer:The height of the triangle is 12 inches.
Step-by-step explanation:As per the provided information in the given problem, we know that the area of a triangle is given by 66 inches². The base of the triangle is given by 11 inches. In this problem, we are tasked to find the height of the triangle.
To do this, we will use the formula below:
[tex]\Large\begin{aligned}\rm\qquad\dashrightarrow{Area_{(Triangle)} = \dfrac{1}{2}bh}\end{aligned}[/tex]
Where:
The base is denoted as b.The height is denoted as h.Substitute the given values into the formula given earlier and solve for h:
[tex]\Large\begin{aligned}\rm\dashrightarrow{Area_{(Triangle)}}& = \rm{\dfrac{1}{2}bh}\\\rm\dashrightarrow{66\: in^2}& = \rm{0.5(11\: in)(h)} \\\rm\dashrightarrow{66\: in^2}& = \rm{(5.5\: in)(h)} \\\rm\dashrightarrow{\dfrac{66\: in^{\cancel{2}}}{5.5\: \cancel{in}}}& = \rm{\dfrac{(\cancel{5.5\: in})(h)}{\cancel{5.5\: in}}} \\\rm\dashrightarrow{12\: in}& = \rm{h}\end{aligned}[/tex]
Hence, the height of the triangle is 12 inches.
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I have a question?.....Ms. Wallace makes soap to sell at craft fairs. The first bar of soap sells for $2, and each additional bar costs $1.25. The cost of making the soap is $0.95 per bar. Ms. Wallace pays $50 to rent a booth at the fair. How many bars of soap, b, will Ms. Wallace need to sell to at least break even?
Answer:
Has your teacher given you notes to practice?
Step-by-step explanation:
If no, then break the question down into pieces and write down what you know.
A rectangular prism has a length of 412 centimeters, a width of 412 centimeters, and a height of 6 centimeters. Sally has a storage container for the prism that has a volume of 143 cubic centimeters.
What is the difference between the volume of the prism and the volume of the storage container?
Enter your answer in the box as a simplified mixed number or a decimal.
cm³
Answer: First find the volume of the rectangle prism. Do this by multiplying all three dimensions. 412 x 412 x 6 = 1,018,464.
Subtract 1,018,464 from 143.
You should get 1,018,321 mm^3
(Remember that the units are cubed because you multipled 412 mm x 412 mm x 6 mm which is multiplying not only the numbers, but the mm three times as well.)
Step-by-step explanation: hope it's helpful and thank you for letting me answer
can you multiply whole number by a number with a variable?
Answer: Definitely Yes.
Step-by-step explanation:
Answer: YES, YOU CAN
Step-by-step explanation:
Which expression represents the product of
64 and x?
A. 64-X
B. 64 + x
C. 64x
D. 64/x
FIRST TO ANSWER 50 POINTS !!
Randy and Carla like to walk the path around their town park. The path is 2 miles long. Last month Randy walked the path 13 times, and Carla walked it 22 times. How many more miles did Carla walk than Randy last month?
Answer: 18 more miles
Step-by-step explanation: