Answers
Answer:
11) 30.7
12) 16.3
Step-by-step explanation:
11)
[tex]\dfrac{\sin 50}{12}=\dfrac{\sin B}{8}[/tex]
Multiply both sides by 8:
[tex]\sin B=\dfrac{2\sin 50}{3}[/tex]
[tex]B=\sin^{-1}\dfrac{2\sin 50}{3}\approx 30.7[/tex]
12)
[tex]\dfrac{\sin 25}{7}=\dfrac{\sin 80}{C}[/tex]
[tex]C=\dfrac{\sin 80}{\frac{\sin 25}{7}}\approx 16.3[/tex]
Hope this helps!
Related Questions
A house is valued at 213,000.After several years,the value increased by 8%.How much did the house value increase in dollars?.What is the current value of the house?
Answers
Answer:
The house value increase by $17,040 in dollar terms
The current value of the house $ 230,040
Step-by-step explanation:
The increase in value of the house can be determined as the difference between the value of the house now after 8% increase in value and the earlier value of $213,000
new value=earlier value *(1+% increase in value)
% increase in value is 8%
new value=$213,000*(1+8%)
=$213,000*1.08=$230,040.00
increase in value= $230,040-$213,000=$17,040
The increase in value of the house of 8% translated into a dollar value of $17,040
Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent.Is chuck correct?Explain your reosining.
Answers
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree
No, I do not agree because:
The lateral faces of a pyramid are triangles The lateral faces of a prism are rectangles2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.
No, do not agree because:
A cylinder has two congruent bases but it is not a polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons
Hope it will find you well.
What is the circumstance and area of a circle with the diameter of 14 inches
Answers
Answer:
Area≈153.94in²
Three fifths of the sum of 13 and 6
Answers
Answer: 11.4
Step-by-step explanation:
change to numbers [tex]\frac{3}{5} (13+6)[/tex]
simplify [tex]\frac{3}{5} (19)\\11.4[/tex]
BE5-3 Cha Company buys merchandise on account from Wirtz Company. The selling price of the goods is $780, and the cost of the goods is $470. Both companies use perpetual inventory systems. Journalize the transaction on the books of both companies.
Answers
Answer:
In the books of Wirtz, the selling party, the required entries are
Debit Accounts receivable $780
Credit Revenue $780
Being entries to recognize sales revenue on account
Debit Cost of sales $470
Credit Inventory $470
Being entries to recognize the cost of items sold
In the books of Cha Company
Debit Inventory $780
Credit Accounts payable $780
Being entries to record cost of inventory purchased
Step-by-step explanation:
When a company makes a sale, the effect of such sale is dual in the books of the company being that the company would first recognize revenue and then recognize the cost of items sold.
To recognize revenue,
Debit Cash/Accounts receivable
Credit Revenue
To record the cost of the item sold
Debit Cost of sales
Credit Inventory
For the party that makes the purchase
Debit Inventory
Credit Cash/Accounts payable
Simplify.
(-9 - 8i) - (3 + 2i)
Answers
Answer:
-12-10i
Step-by-step explanation:
(-9 - 8i) - (3 + 2i)
First, remove parantheses.
-9-8i-3-2i
Combine like terms
-9-3-8i-2i
Solve it!
-12-10i
Joshua just bought a new fish tank. The tank is 14 inches tall and has a radius of 4 inches. How much water can Joshua put in the tank? Use 3.14 for pi. *
A. 703.36 cubic inches
B. 56 cubic inches
C. 224 cubic inches
D. 175.84 cubic inches
Answers
Answer:
V = 703.36 in³ (This matches answer option A.)
Step-by-step explanation:
This fish tank has a cylindrical shape. The formula for the volume of a cylinder of radius r and height h is
V = (pi)(r²)(h).
We are told that h = 14 in and r = 4 in. Using 3.14 for pi:
V = (3.14)(4 in)²(14 in) =
V = 703.36 in³ (This matches answer option A.)
Two datasets arranged in descending order are: {8, x, 4,1) and (9. Y, 5,2). If the medians ofthe two given datasets are equal, what is the value of (y – x)??Answer
Answers
The question is missing. The complete question is:
Two datasets arranged in descendind order are: {8,x,4,1} and {9,y,5,2}. If the medians of the two given datasets are equal, what is the value of
(y-x)² ?
Answer: (y-x)² = 1
Step-by-step explanation: Median is the middle term of a data set.
In both datasets, there are an even quantity of number, so, to calculate median, sum the two center values and divide it by 2.
1) To facilitate, arrange it in ascending order:
(1,4,x,8) and (2,5,y,9)
Median of the first:
[tex]\frac{4+x}{2}[/tex]
Median of the second:
[tex]\frac{5+y}{2}[/tex]
As medians are the same:
[tex]\frac{4+x}{2}[/tex] = [tex]\frac{5+y}{2}[/tex]
4+x = 5+y
x - y = 5 - 4
x - y = 1
The question asks for (y-x)², so
y - x = -1
(y-x)² = (-1)²
(y-x)² = 1
A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is the maximum area of the dog pen?
Answers
Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]
-4x + 60 = 0
-4x = -60
[tex] x = \frac{-60}{-4} = 15 [/tex]
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use
22
7
for π.
21 ft
66 ft
120 ft
132 ft
Answers
Answer:
D: 132 ft
Step-by-step explanation:
C= π2r
So, take pi and multiply that by two..
π2= 6.28
Now, take your radius and multiply it by 6.28.
21 x 6.28= 131.88
Round it two the nearest whole number, which is 132!
Hope this helps!
Answer:
132
Step-by-step explanation:
If it takes a person 45 minutes to walk 4 dogs, how long does it take for a person to walk 7 dogs?
Answers
Answer:
1 hour, 18 minutes, 45 seconds
Step-by-step explanation:
Let's use a ratio:
dogs : minutes
4 : 45
1 : 11.25
7 : 78.75
78.75 minutes or 1 hour, 18 minutes, 45 seconds.
What are the answers on the sheet to the math paper "What did the teenage yardstick say to its parents? "
Answers
Answer:
I want to stand on my own three feet
Step-by-step explanation:
The equation for the pH of a substance is pH = -log[H+), where H+ is the concentration of hydrogen ions.
What is the approximate pH of a solution if the concentration of hydrogen ions is 5.0 x 104 moles per
liter?
2.7
3.0
3.3
3.6
Answers
Answer:
3.3 :)
Step-by-step explanation:
Answer:
3.3
Step-by-step explanation:
edge 2021
Help pleaseee: A rectangular prism is shown below with edges of 1, 6, and 4 units. If a diagonal runs from point A to point B, how many units long is diagonal AB ?
Answers
Answer:
the answer is [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Answer:
Second option
Step-by-step explanation:
Diagonal² = 6² + 4²
Diagonal² = 52
AB² = diagonal² + 1²
AB² = 52 + 1
AB² = 53
AB = sqrt(53)
y = 2 - 2
y = 3x +4
Is (4, 2) a solution of the system?
Choose 1 answer:
А)
Yes
B
No
Answers
Answer:
B. No
Step-by-step explanation:
In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.
One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:
y =? 3x + 4
2 =? 3 * 4 + 4
2 =? 12 + 4
2 ≠ 16
Thus, we know that (4, 2) is not a solution and the answer is B.
~ an aesthetics lover
Write nine minus the quotient of two and a number x as a expression variable
Answers
Answer:
9-(2/x)
Step-by-step explanation:
There are 7 campers for every 2 counselors at summer camp. How many counselors are there if there are 84 campers?
Answers
Answer:
24 counslers.
Step-by-step explanation:
We can simply break down the equation.
We can start by finding how many times 7 goes into 84. 84/7 is 12. Now their are 12 groups of 7 and their needs to be two at each. All we have to do is multiply 2 by twelve and you've got yourself an answer.
Have A great day! :)
Answer: 24 counselors
Step-by-step explanation: Our first step in this problem is to write down the unit ratio that is involved. In this case, it's campers/counselors.
Next, we set up our proportion.
We know that at this summer camp, there are 7 campers for every 2 counselors so we have 7/2 and we're asked how many counselors are at the summer camp if there are 84 campers so that's 84/x.
Notice that the 84 campers must go on the top of the second ratio because our unit ratio tells us that we put campers over counselors.
Solving from here, we use the means-extremes property
to get (7)(x) or 7x equals (2)(84) or 168.
So we have 7x = 168.
Now dividing both sides of the equation by 7, we find that x = 24.
So, there are 24 counselors for 84 campers at the summer camp.
Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34
Answers
Answer:
22
Step-by-step explanation:
it is epuivalet
(2,3) (7,4) point slope form
Answers
Answer:
[tex]y-3=\frac{1}{5} (x-2)[/tex]
Step-by-step explanation:
First you need to find the slope by using this formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{(4)-(3)}{(7)-(2)}\\m=\frac{1}{5}[/tex]
Now you can put it in point slope form which is: [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=\frac{1}{5} (x-2)[/tex] is your answer.
Help i need a tutor i’m literally failing in math hw f anybody could help me please let me know !!
Answers
What is the first step to solving the quadratic equation x2=9over 16
Answers
Answer:
divide both sides by 2
Step-by-step explanation:
divide both sides by 2 then simplify and get x = 9 over 32
Answer:
Transposing square to rhs,it becomes root
Step-by-step explanation:
[tex]x^{2} =9/16[/tex]
[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)
[tex]x= 3/4[/tex]
Hope it helps...Pls mark as Brainliest!!!
1. Lily is paid $5.25 per hour for raking leaves.
What is the Dependent Variable:
What is the Independent Variable:
The Rate of Change:
The Initial Value:
The Equation:
Direct / Partial:
Answers
5.25 per hour dependent
independent raking leaves
The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.
Answers
The answer would be 1.03! hopes this helps!
Answer:
1.03
Step-by-step explanation:
i did the assignment on edg 2020/2021
Solve the 3x3 system shown below. Enter the values of x, y, and z.
x+2y-x=-3
2x-y+z=5
x-y+z=4
Answers
Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:
[tex]x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)[/tex]
First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
-x +y -z = - 4
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
-2x +y -z = -5
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
3y -2z= -7
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1
Answer: x=1 y=-1 z=2
Step-by-step explanation:
Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the probability that only one of them will pass their driving test.
Answers
Answer:
Pr(only one of them will pass the driving test) = 0.38
Step-by-step explanation:
The probability that Ben will pass = 0.8
Let Pr = pribability
Pr(Ben pass) = 0.8
Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8
Pr(Ben fail) = 0.2
The probability that Tom will pass = 0.7
Pr (Tom pass) = 0.7
Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7
Pr (Tom fail) = 0.3
Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)
Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)
Pr(only one pass) = 0.24 + 0.14
Pr(only one pass) = 0.38
Answer:0.38
Step-by-step explanation:
Please help me now I will mark you brainliest
Answers
Answer:
Out side the circle
Step-by-step explanation:
This is because the center is 0 and if the point 6, square root seven is on the circle that mean that as far as the circle goes on each side.
I need help ASAP. WILL MARK BRAINLIEST.
Answers
Answer:
Step-by-step explanation:
706.5
Answer:
706.5
Step-by-step explanation:
I am 95 percent sure this is the right answer
Solve the system of equations.
−5x+2y=9
y=7x
Answers
Answer:
x=1 y=7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation into the first
-5x +2(7x) = 9
Distribute
-5x +14x = 9
Combine like terms
9x=9
Divide by 9
9x/9 =9/9
x= 1
Now find y
y = 7(1)
y = 7
Answer:
[tex]x=1\\y=7[/tex]
Step-by-step explanation:
[tex]-5x+2y=9\\y=7x[/tex]
Replace y in the first equation.
[tex]-5x+2(7x)=9[/tex]
Distribute the 2 and combine like terms;
[tex]-5x+14x=9\\9x=9[/tex]
Divide by 9
[tex]x=\frac{9}{9}\\ x=1[/tex]
-----------------------------------------------
After having found x, you can replace it in any of the equations to find y. I'll use the second equation.
[tex]y=7x\\y=7(1)\\y=7[/tex]
if you can help with any of these two or both that would be great ! :)
thanks
Answers
Answer:
hmmm not sure
Step-by-step explanation:
try mulitply the numbers
Halla el término trigésimo de la progresión aritmética de diferencia 3 y primer término 11. Halla el término general de la progresión y la suma de los cuarenta primeros términos
Answers
Answer:
13th term = 47
General term: Tn = 11 + 3(n-1)
Sum of the first 40 terms = 2780
Question:
Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.
Step-by-step explanation:
Common difference (d)= 3
First term = a = 11
Find attached the solution of problem.
