Answer:
b. 8.6
Step-by-step explanation:
Given:
B = 49° 13'
b = 10
Required:
Find a
SOLUTION:
The reference angle given = 49° 13'. Converted to degrees, we have 49.2167°.
b = Opposite side to the reference angle B = 10
a = adjacent side to angle B = ?
To find a, apply the following trigonometric ratios formula:
[tex] tan(B) = \frac{opp.}{adj.} [/tex]
[tex] tan(49.2167) = \frac{10}{a} [/tex]
Multiply both sides by a
[tex] tan(49.2167)*a = \frac{10}{a}*a [/tex]
[tex] tan(49.2167)*a = 10 [/tex]
Divide both sides by tan(49.2167)
[tex] \frac{tan(49.2167)*a}{tan(49.2167)} = \frac{10}{tan(49.2167)} [/tex]
[tex] a = \frac{10}{tan(49.2167)} [/tex]
[tex] a = 8.6 [/tex] (nearest tenth)
Answer:
B.
Step-by-step explanation:
8.6
what is the slope of the line whose equation is y-4=5/2(x-2)
-5/2
-2/5
2/5
5/2
Answer:
The slope of the line would be 5/2
Step-by-step explanation:
Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2
Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.
Answer:
10
Step-by-step explanation:
For movie mania:
Sign-up fee = $ 20
Rent for 1 DVD = $ 4.00
For Hurricane video:
Sign-up fee = 0
Rent of 1 DVD = $ 6.
Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.
For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=20+4n
For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=0+6n=6n
Now, for both stores to charge the same, both the charges must be equal, we have
6n=20+4n
[tex]\Rightarrow 6n-4n=20[/tex]
[tex]\Righatarroe 2n=20[/tex]
[tex]\Rightarrow n =20/2=10[/tex]
Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.
HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP
Answer:
The triangles are lined up with their correct pairs already.
Step-by-step explanation:
The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.
Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Richard = R & Teo = T
Richard & Teo are combined 41 it means R + T = 41
R = 8 + 2T
R + T = 41 #1
R = 8 + 2T #2
replace 2 in 1
8 + 2T + T = 41
8 + 3T = 41
3T = 41 -8 = 33
T = 11
R = 8 + 2*11 = 30
result = richard is 30 & teo is 11 years old.
2 times of Teo is 22
and 8 years older it means + 8
= 30
Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7
9514 1404 393
Answer:
M = 141°, N = 39°
Step-by-step explanation:
Supplementary angles have a total measure of 180°, so ...
M + N = 180
(6x +3) +(2x -7) = 180
8x = 184 . . . . . add 4, simplify
x = 23 . . . . . . . divide by 8
∠M = 6·23 +3 = 141°
∠N = 2·23 -7 = 39°
Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?
Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
What is 3/4 plus 1 1/4?
Answer: 2
Step-by-step explanation:
you add the 3/4 to the 1/4 and get 4/4 which equals 1 next you add that to the 1 from the problem and get 2
if you need it in an improper fraction you can just say 8/4
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answer:
Rate of change of the graph = 1
Step-by-step explanation:
Rate of change of the graph at any point is defined by the slope of the line at that point.
Since, slope of a line between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{\triangle y}{\triangle x}[/tex]
In other words, slope of a line between two points is given by the ratio of rise and run of the line between the given points.
Therefore, slope of the line passing through two points (0, 2) and (1, 3) will be,
m = [tex]\frac{3-2}{1-0}[/tex]
m = 1
Rate of change at x = 1 is 1.
i need help with this
Find the slope of the line
Answer:
Slope= -5/3
Step-by-step explanation:
Show work , simplifying expression
Answer:
100
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
x(x - y)²
x = 4
y = 9
Step 2: Substitute and Evaluate
4(4 - 9)²
4(-5)²
4(25)
100
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?
Answer:
7.50$
Step-by-step explanation:
3+3+1.5=7.50$.
Combine the like terms to create an equivalent expression:
-3z-z
2/5(a+2b)^2 (if a=3 and b=-4)
The answer is 10. Hope this helps.
Multiply the numbers
2/5 •(3-8)^2
Subtract (3-8)
2/5• (-5)^2
A negative base raised to an even power equals a positive
2/5• (5)^2
Reduce the expression with 5.
2•5
10
what is the equation of the line shown?
what is the equation of a parallel line with a y-intercept of -1?
Answer:
y = -⅓x + 1.
y = -⅓ - 1
Step-by-step explanation:
The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].
b = y-intercept, which is where the line intercepts the y-axis.
The line intercepts the y-axis at 1. Therefore b = 1.
m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].
Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:
y = -⅓x + 1.
The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.
Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.
Therefore, substitute m = -⅓ and b = -1 into y = mx + b.
y = -⅓x + (-1)
y = -⅓ - 1
The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1
A new car is purchased for 24800 dollars. The value of the car depreciates at 7.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 9000 dollars?
Answer:
pretty sure the answer is 13.5 years. sorry if wrong
Step-by-step explanation:
Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?
Answer: 8 bags
Step-by-step explanation:
From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.
For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:
= 3 ÷ (3/8)
= 3 × (8/3)
= 8
Therefore, she will pack 8 bags of dried fruit.
How to simplify 80/7
Answer:
[tex]11 \frac{3}{7}[/tex]
Step-by-step explanation:
80 divided by 7 is 11 with a remainder of 3.
Answer:
11 3/7
Step-by-step explanation:
How you get this is you divide 80 from 7. Since it is 11.(So many numbers), you are going to take that number you just got, and multiply it from 7- the number you were dividing. You will get 77. Then you minus it. 80-77 is 3, so your answer would be 11 3/7. Since this can't be reduced more, this is your answer.
⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️
Please help with 5-8 with working out please thanks , it’s due ASAP
Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?
Answer:
In cm 360
In meters 3.6
Step-by-step explanation:
had the same question but had to answer in both and got em right
This recipe makes 5 portions of fajitas.
Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 70 g of spice mix and 16 tortillas.
How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe: Serves 5
400 g chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
PLS HELP ME I NEED IT BAD!!!!!!!!!!!!
Answer:
Chicken: 500g
Peppers: 1kg
Onions: 10g
Tortillas: 14
Step-by-step explanation:
hope this helps
can someone help me with this q6
Answer:
y=2X
Hope this helps!!!
Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009
The best choice is A)
when you add a zero, it does not count on a decimal, so,
1.9, 1.90, 1.900.
Answer:
the answer is a
Step-by-step explanation:
Evaluate the following expression. $$(10 + 2) \div 6 + 5^3$$
Answer:5
Step-by-step explanation:
A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before sales tax?
i need this now please
Answer:
19.20Step-by-step explanation:
$24.00 x 20% =
$4.80
$24.00 - 4.80 =
19.20
The sale price of a shirt after discount is $19.2.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a shirt is marked down 20% off the original price.
The original price was $24.00
Sale price = 24-20% of 24
= 24-0.2×24
= 24-4.8
= $19.2
Therefore, the sale price of a shirt after discount is $19.2.
To learn more about the discount visit:
https://brainly.com/question/3541148.
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PLEASEE HELP MEEE what is the standard form of the following equation y= 5x + 0.5
A- 5x + y= 0.5
B- -5x-y= 0.5
C- -5x+y= 0.5
D- -5x+y= -0.5
Answer:
the standard form of y=5x+0.5 is B=-5x+y=0.5
Answer:
the answer is 5x - y= -0.5
Find the distance between the two points if rounded to the nearest tenth (-6,6) and (-3,3)
Answer:
3[tex]\sqrt{2}[/tex] units
Step-by-step explanation:
Given parameters:
Coordinates = (-6,6) and (-3,3)
Unknown:
The distance between them = ?
Solution:
To find the distance between two points, we use the expression below;
D = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
x₁ = -6 x₂ = -3
y₁ = 6 y₂ = 3
D = [tex]\sqrt{(-3 -(-6))^{2} + (3-6)^{2} }[/tex] = [tex]\sqrt{18}[/tex]
D = 3[tex]\sqrt{2}[/tex] units
Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.
Answer:
222.617
Step-by-step explanation:
WILL MARK YOU BRAINLIEST!!!!!!
Answer:
y = 136
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle, thus
y = 82 + 54 = 136