Answers
Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
Related Questions
please help me it's done in 4 mins I beg you
Answers
Answer:
the slope rise/run = 4/6
Solve the system of equations using elimination.
6y−4x=20−4y+3x=−12
(4, 6)
(−4, 6)
(−4, −6)
Answers
Answer: A. (4,6)
Step-by-step explanation: 2(6y−4x = 20) 3(−4y+3x = −12) −8x+12y = 40 9x−12y = −36 -8x+9x +12y-12y 40-36 x=4 6y−4x = 20 6y−(4)(4) = 20 6y−16+16 = 20+16 6y/6 = 36/6 y = 6 x = 4, and y = 6.
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
The given system of equations are 6y-4x=20 and -4y+3x=-12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)
Multiply equation (I) by 3, we get
-12x+18y=60 ----------(III)
Multiply equation (II) by 4, we get
12x-16y=-48 ----------(IV)
Add equation (III) and (IV), that is
-12x+18y+(12x-16y)=60-48
⇒ 2y=12
⇒ y=6
So, 6y-4x=20
⇒ 36-4x=20
⇒ -4x=-16
⇒ x=4
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
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Find the equation of the line with slope m = 4/5 that contains the point (10, 11)
Answers
Answer:
Point slope : y = 4/5(x-10)+11
Slope intercept : y = 4/5x + 3
Step-by-step explanation:
Use Point slope
y = 4/5(x-10)+11
Simplify for slope intercept
y = 4/5x + 3
. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
AND EXPLAIN THE STEPS
Answers
Answer:
Smaller angle : 30 degrees
Bigger Angle : 65 degrees
Step-by-step explanation:
85+6x+13x=180, 85+19x=180,19x=95,x=5
Smaller angle : 30
Bigger Angle : 65
2 1/7:(15a)=5/14:(0.8)
Answers
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Answers
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
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-8 + x - 2 - 5x
Plssss
Answers
Answer:
-4x-10
Step-by-step explanation:
This is the answer if you are simplifying the expression.
Answer:
− 4 − 8
Step-by-step explanation:
A room is made up of 3 doctors and 7 nurses. If one is selected at random, what is the probability that they choose a nurse?
Answers
Answer:
7/10
Step-by-step explanation:
There are 10 people in total and 7/10 of them are nurses
or 0.7 out of 1 probability
Solve the literal equation for x.
k= nx - 3x
Answers
answer:X=k/n-3
explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!
I hope this helps
k/(n-3)=x
there ya gooooo
Write the word sentence as an inequality.
A number b
multiplied by −5
is at most −34
.
Answers
Answer:
-5b <= -34
Step-by-step explanation:
The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.
Which expression can be used to find 25 percent of 88?
1/25 x 88
One-fourth times 88
1/0.25 x 88
1/40 x 88
Answers
Answer:
B) 1/4 x 88
Step-by-step explanation:
25%=25/100=1/4
25% of 88, of is basically multiplication
=1/4 x 88
Which answer correctly describes the transformation from the preimage to the
image?
a translation 10 units left and 8 units down
a reflection over the x-axis
a translation 10 units right and 8 units up
a rotation of 180°
a reflection over the y-axis
Answers
Translation of 10 units left and 8 units down
================================================
Explanation:
Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.
The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.
Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]
If we applied that rule to A(3,6), then...
[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]
which is what the diagram shows going from A to A'
Let's do the same for point B(3,1)
[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]
This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.
The Running Aces card team won $548 dollars playing in poker tournaments last year. The winnings were split evenly among the p players.
How much money did each player receive?
Write your answer as an expression.
Answers
Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.
help.. What is the domain of the function
Answers
Answer:
i think d
Step-by-step explanation:
Geometry problem, solve for X
Answers
Answer:
7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Parallel lines with transversal
The angles are the same because of corresponding angles
130=19x-3
133=19x
133/19=x
x=7
If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?
Answers
Answer:
2:4 or simplify and get 1:2
Step-by-step explanation:
2 tsp. of oil every 4 cups of flour.
14. Find m
(9x + 2)
(15x -52)
Answers
Step-by-step explanation:
triangle BCD ~ triangle EFD so
angle BCD= angle EFD
9x+2=15x-52
6x=54
x=9
angle CBF =9x+2=83°
In the triangle ΔCBD, the angle measure of ∠CBF is 83°.
What are similar triangles?When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.
Given:
The angle measures,
∠CBD = (9x + 2)°
∠EFD = (15x -52)°
From the diagram,
ΔCBD is similar to ΔEFD.
So, the corresponding angles are equal.
∠CBD = ∠EFD
(9x + 2)° = (15x -52)°
15x - 9x = 52 + 2
6x = 54
x = 9°
And ∠CBF = ∠CBD
So, ∠CBF = (9x + 2)°
Substituting the value of x,
∠CBF = (9(9) + 2)°
∠CBF = 83°
Therefore, the angle measure of ∠CBF is 83°.
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12
For what value of n does 36
G
- 2167
Answers
Answer:
n=-3/2
So B on edge
[tex]\\ \sf\longmapsto (\dfrac{1}{36})^n=216[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{36^n}=6^3[/tex]
[tex]\\ \sf\longmapsto 36^{-n}=6^3[/tex]
[tex]\\ \sf\longmapsto 6^{-2n}=6^3[/tex]
[tex]\\ \sf\longmapsto -2n=3[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{3}{2}[/tex]
7 is 75% of what number?
Answers
Answer:
9 1/3
Step-by-step explanation:
7 - 75%
x - 100%
[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]
Answer:
7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.
Step-by-step explanation:
7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.
what is 3x3-7=8x9 ??
Answers
Answer:
Below.
Step-by-step explanation:
3 x 3 - 7 = 8 x 9
=> 9 - 7 = 72
=> 2 ≠ 72
The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.
Which rational exponent represents a cube root?
A.
O B. 11
o
C.
N-
O D.
14
Answers
y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.
Answers
Answer:
24Step-by-step explanation:
y is directly proportional to the square root of ( x-3):
y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionalityGiven:
y is 20 when x is 28Find k:
20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4Find y when x = 39:
y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24Answer:
y = 24
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is
y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion
To find k use the condition when x = 28, y = 20 , then
20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )
4 = k
y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion
When x = 39 , then
y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24
Carefully evaluate f (1)
Answers
Answer:
it should be f
Step-by-step explanation:
Could somebody help me with this problem
Answers
Answer:
72.8 cm³
Step-by-step explanation:
The relevant formula is ...
V = Bh
Using the given values, you find the volume to be ...
V = (10.4 cm²)(7 cm) = 72.8 cm³
For the function , what is the maximum value?
Answers
Answer:
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.
I hope it helps.
What is the sale price?
30 pts
Answers
Answer:
Sales Price = $8.75
Step-by-step explanation:
Original Price - Discount = Sale Price
=> 12.50 - 3.75 = Sales Price
=> Sales Price = $8.75
Hoped this helped.
Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?
Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.
Answers
Answer:
Paula jogs more by 0.1113636 miles or 600 feet.
Step-by-step explanation:
formula for feet to miles; 5280 / f.
2700 / 5280 = 0.5113636363636
0.113636363636 x 5280 = 600 feet.
Find the unit rate. Round to the nearest hundredth, if necessary.
Carpet for $150 for 8 ft2
Answers
Answer:
Step-by-step explanation:You can dly/3fcEdSxownload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
Solve for the value of K
Answers
Answer:
k = 5
Step-by-step explanation:
The straight angle is 180º
The right angle is 90º
Therefor
(8k + 1) + 90 + 49 = 180
combine like terms
8k + 140 = 180
Subtract 140 from both sides
8k = 40
Divide both sides by 8
k = 5
Answer:
16.25
Step-by-step explanation:
How to do the 9 multiplication trick.
Answers
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
