Answer:
[tex]K \approx 51.2^\circ[/tex]
[tex]K \approx 128.8^\circ[/tex]
Step-by-step explanation:
Given
[tex]k = 480[/tex]
[tex]j = 420[/tex]
[tex]\angle J = 43^\circ[/tex]
Required
Find the measure of K
The value of K ranges from: [tex]0^\circ \le K \le 180^\circ[/tex]
To do this, we apply sine rule;
[tex]\frac{j}{\sin J} = \frac{k}{\sin K}[/tex]
So, we have:
[tex]\frac{420}{\sin 43} = \frac{480}{\sin K}[/tex]
Cross multiply
[tex]\sin K * 420 = \sin 43 * 480[/tex]
Make sin K the subject
[tex]\sin K= \frac{\sin 43 * 480}{420}[/tex]
[tex]\sin K= \frac{0.6820 * 480}{420}[/tex]
[tex]\sin K= 0.7794[/tex]
Take arc sin of both sides
[tex]K = sin^{-1}(0.7794)[/tex]
[tex]K \approx 51.2^\circ[/tex]
Recall that: [tex]0^\circ \le K \le 180^\circ[/tex]
The other possible value of K is:
[tex]K \approx 180 - 51.2[/tex]
[tex]K \approx 128.8^\circ[/tex]
The price of an item has been reduced by 45%. The original price was $63.
Use the ALEKS calculator to find the price of the item now.
se]
?
Answer:
$28.35
Step-by-step explanation:
[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]
A triangular prism is shown.
What is the surface area of the triangular
prism?
Answer:
Area= 840
Step-by-step explanation:
Area= (20x13)x2+(10x12x1/2)x2+10x20
=520+120+200
=840
Area=Two area of the triangle [13x20] + Two area of the rectangle + Under area (rectangle)- [10x20]PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
Angle YXU is equal to 113 degrees. those are supplementary angles
Step-by-step explanation:
Which expression will complete step 3 in the proof? sin2(x) 2sin(x) 2sin(x)cos(x) sin(x)cos(x) + sin(x)
Answer:
It's D
Step-by-step explanation:
Edge 2021
The complete step 3 in the proof is 2sin(x) {1+ cos(x)}.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given expression:
sin2(x) + 2sin(x)
This is the first step.
And the second step is given,
2sin(x)cos(x) + 2sin(x)
And to find the third step:
Simplify,
Factor out the common factor,
2sin(x) {1+ cos(x)}.
Therefore, the required step is 2sin(x) {1+ cos(x)}.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
T or F: If you consume more calories, you must decrease your physical activity to have energy
balance.
(not math but for pe)
Answer:
F
Step-by-step explanation:
When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.
What is the answer please help me no links
Answer:
D)75miles
Step-by-step explanation:
they were both traveling at 75 miles per hour and Kristin drove one hour more than Todd
D) 75 miles
Step-by-step explanation:
Todd drove 375 miles in 5 hours (75 mph). Kristin drove the same speed (75 mph) in 6 hours.
75 mph x 6 hours = 450 miles
450-375= 75 more miles
Write the slope-intercept equation of this line.
when the answers are
A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3
Answer:
[tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.
In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.
Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept
In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:
[tex]y=-\frac{1}{2} x-3[/tex]
I hope this helps!
Help me out pls, i’m new to this whole hypotenuse thing
Answer:
x = 6.5
Step-by-step explanation:
Reference angle = 54°
Length of Side opposite to 54° = x
Hypotenuse = 8 cm
Recall: SOHCAHTOA.
Apply SOH:
Sin 54 = Opp/Hyp
Sin 54 = x/8
x = 8*sin 54
x = 6.47213595 ≈ 6.5 cm (nearest tenth)
A dance floor is in the shape of a rectangle. It is 27 meters long and 16 meters wide. What is its peremeter?
Answer:
perimeter of a rectangle = 2(l+b)
length = 27 m
breadth = 16 m
perimeter = 2( 27+16 )
= 2 * 43
∴ perimeter = 86 m
hope this answer helps you.....
Answer:
86
Step-by-step explanation:
P= 2*W + 2*L
Therefore you get 86
1. Find y if log, y – 2 = log, 92.
Answer:
well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.
so y = 94
A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. The total cost of the coach's order is less than $125.00. What inequality can be used to determine the greatest number of hats, h, the coach orders
Answer:
H ≤ 125
Step-by-step explanation:
The coach can order 12 hats
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
exponent
Step-by-step explanation:
Answer:
power or exponent it can be both, but being specific here, choose exponent
Step-by-step explanation:
i studied this concept trust me
f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.
x -8 -3 0 3 8
f '(x) 5 4 0 -2 -4
If f '(x) is always decreasing, which statement about f(x) must be true?
a.
f(x) has a relative maximum at x = 0.
b.
f(x) is concave upwards for all x.
c.
f(x) has a point of inflection at x = 0.
d.
f(x) passes through the origin.
9514 1404 393
Answer:
a. f(x) has a relative maximum at x = 0.
Step-by-step explanation:
Since f' is decreasing, the second derivative is negative. That means the graph is concave downward, so any critical point is a relative maximum.
f(x) has a relative maximum at x=0 (where f'(0) = 0)
__
There is no indication that the second derivative is ever zero, so there is no point of inflection.
No values of f(x) are given, so we cannot say whether the function passes through the origin.
01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm
Answer:
The formula for circumference of a circle is
2pi,R.
In which R= radius. Then we Insert 18 in for the circumstances.
so, 18=2πr
then solving for r
18=2
÷. ÷
2. 2
R = 9,,
b. If x represents a number, does
•x always
represent 40% of that number? Explain your reasoning.
Submit
Answer:
no it doesn't as no is variable.
A pet store has 6 cats. Here are their weights (in pounds).
16. 9. 7. 9, 11, 16
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
pounds
?
The cost of interest of a $3,000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?
9514 1404 393
Answer:
2.79 years
Step-by-step explanation:
If we assume simple interest, the interest amount is computed from ...
I = Prt
Then the length t is ...
t = I/(Pr)
t = 1003.80/(3000×0.12) ≈ 2.788333...
The term of the loan is about 2.79 years.
can you guys help me pls
Answer
A
Step-by-step explanation:
So in the diagrams we see there is 2/3 shaded into a 12 cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.
so
[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]
Since we multiplied 4 on the bottom we have to multiply 4 on the top.
sorry im not good at explaining but if you need me to re explain ill work on it. :)
DLMN is a quadrilateral inscribed in a circle. If mÐD = 84° and mÐN = 74°, find mÐL.
9514 1404 393
Answer:
angle L = 106°
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral are supplementary.
∠L = 180° -∠N
∠L = 180° -74° = 106°
Tracy is trying to justify a step in her paragraph proof. What is the property that she should use?
ABAB
1)Transitive Property of
Congruence
2)Symmetric Property of
Congruence
3)Reflexive Property of Congruence
4)Equality of Congruence Property
Answer:
The reflexive property of congruence
Step-by-step explanation:
This property says that an object is congruent to itself.
Trent made a scale drawing of a community college. The scale of the drawing was
9 millimeters = 1 meter. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
Answer:
9/1000
Step-by-step explanation:
Because 1 m = 1000 mm, the scale factor is 9/1000
Pls help me with this
Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
NEED URGENT HELP correct answer person will get brianly and extra pts
Answer:
7
Step-by-step explanation:
- En una tienda, durante las rebajas, encontramos los siguientes carteles: “ De 150 euros a 90 euros” y “De 40 euros a 24 euros”. ¿Tienen los dos artículos el mismo porcentaje de rebaja ?
Answer:dwadwdwd
Step-by-step sadawdwdwadwdwexplanation:
Find m∠D
m∠D=
greatly appreciate if done asap:)
In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35
Answer:
4/35
Step-by-step explanation:
Probability of 1 student having no hw is 4/7, then 3/6, then 2/5
4/7 x 3/6 x 2/5 reduces to 4/35
Please help meeeee I’m desperate
Answer: I believe the Big B is 169 and the perimeter is 52
Step-by-step explanation:
a store owner needs a rug with an area of at least 420 square feet select all that the store owner could use A 40 feet x 20 feet B 60 feet x 7 feet C 70 feet x 6 feet D 4 feet x 20 E 20 feet x 4 feet f 40 feet x 7 feet
Answer:
que
Step-by-step explanation:
no sé
Ken flips a coin and draws a card. Is this a independent or dependent event?