Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:
[tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:
[tex]a^2+b^2=c^2[/tex]
Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.
Substitute:
[tex](5)^2+b^2=(13)^2[/tex]
Solve for b:
[tex]b=\sqrt{169-25}=\sqrt{144}=12[/tex]
So, the opposite side measures 12.
Then sine will be:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
A six sided number cube is rolled twice. What is probability of rolling a 5 and then an even number?
True or False: The hypotenuse can be one of the two legs of a right triangle.
True
O False
Answer:
False
Step-by-step explanation:
The hypotenuse is not either of the two legs but is opposite of the right angle.
(-6, -5) and (2, 0)
Find the distance between each pair of points.
Answer:
[tex]\sqrt{89}[/tex] or 9.43
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Please someone end my suffering
Surface Area
Answer:
107 in ²
Step-by-step explanation:
Surface area of the triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 2 in.
h = 8 in.
s1 = 8.2 in.
s2 = 2 in.
s3 = 8 in.
L = 5 in.
Substitute
Surface area = 2 × 8 + 5(8.2 + 2 + 8)
Surface area = 16 + 5(18.2)
Surfaces area = 16 + 91
Surface area = 107 in ²
Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and the total amount paid for all the mangoes is 280. Represent the situation mathematically and find the total number of mangoes bought by Kumar.
Answer:
Price = 20, Amount = 14
Step-by-step explanation:
A = Amount of Mangoes
P = Price for 1 Mango
P = A + 6
280 = P * A
insert A+6 for P
280 = (A+6) * A
280 = 6A + A²
280=1*a^2+6*a | Vertausche beide Seiten der Gleichung.
1*a^2+6*a=280 | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2
1*a^2+6*a+(3)^2=3^2+280 | Rechne 3 hoch 2 aus.
1*a^2+6*a+(3)^2=9+280 | addiere 9 und 280
1*a^2+6*a+(3)^2=9+280 | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.
1*(1*a+(3))^2=289 | Auf beiden Seiten Quadratwurzel ziehen.
1*a+(3)=+-*289^0.5
1*a_1+(3)=289^0.5
1*a_1+3=289^0.5 | Ziehe die Wurzel aus 289
1*a_1+3=17 | -3
1*a_1=14
The total number of mangoes bought by Kumar are 14.
What is mathematical equation?"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."
We have,
Total amount for mangoes(P) = 280
Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6
By using mathematical equation from the question
P×A = 280.....(1)
Substitute P = A+6 in equation (1)
⇒ (A+6) × A = 280
⇒[tex]A^{2}+6A =280[/tex]
Add [tex]3^{2}[/tex] on both sides of above equation
⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]
⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex] (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])
⇒[tex](A+3)^{2} =289[/tex]
⇒[tex]A+3 = \sqrt{289}[/tex]
⇒[tex]A=17-3[/tex]
⇒[tex]A=14[/tex]
Hence, The total number of mangoes bought by Kumar are 14.
Learn more about mathematical equation here
https://brainly.com/question/15389595
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Part 2: Questions
What is the total cost of the entire bill (all four meals), including tip? 153.88
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
I NEED HELP ON THE LAST 2 QUESTIONS you can use this but make sure you put some other names
Answer:
Answer:
Total amount ÷ number of person's
Step-by-step explanation:
for example:- there are four persons and the total amount they have to pay is ₹2000
Now,
contribution of each person = total amount ÷no.of persons
= ₹(2000 ÷4)
=₹500
Step-by-step explanation:
PLEASE HELP ME PLEASE AS SOON AS YOU CAN
EXPLAINATION = BRAINLIEST
THANK YOU SO MUCH
Answer:
35.18576
Step-by-step explanation:
use eqation E
Answer:
If the angle is in radians...
Area of sector =½r²¢
Where ¢ is theta.
Since Our angle is degree
We use
Area of Sector = ¢/360 x πr²
¢=theta
radius = Diameter/2
radius = 16/2 = 8m
Area = 126/360 x π x 8²
= 112π/5
=70.37
Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 − 7x < 6 Solve the inequality that represents the story. If the variable is on the left, what is the sign?
Answer:
+ or > depending on what you mean exactly
Step-by-step explanation:
-7x<6-9
-7x<-3
x>3 (remember to flip the sigh)
the sign is the > symbol , or positive, not sure what you mean really
WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!
Answer:
x = 15
Step-by-step explanation:
20^2 + x^2 = 25^2
400 + x^2 = 625
subtract each side 400
it results to 225
square root 225, to equals this -->
X = 15
Answer:
15
Step-by-step explanation:
What is 12 decreased by p?
Answer:
12 - p
Step-by-step explanation:
12 - p
Brayden says that the probability of catching a cold is 1/2 because there are two possible outcomes, catching a cold and not catching a cold. Is he correct? Explain.
Triangles RST and XYZ are similar. X R 16.0 cm 6.0 cm 3,6 cm ? S Y 7.5 cm T 20.0 cm z not drawn to scale What is the length of side XZ? O A 7.2 cm B. 9.6 cm C. 13.6 cm OD. 16.1 cm
B) 9.6 cm
See the picture I have shared
Please help with this question
Answer:
24 feet
Step-by-step explanation:
The given parameters of the blueprint are;
The length of each grid square on the blueprint = 10 feet
The total distance in feet around the garden, P = 4 + 2 + 2 + 4 + 6 + 6 = 24
The total distance in feet around the garden = 24 feet
Larry puts $4250 in an account for 8 years, compounded quarterly, at 4.5% interest (APR). How much will he have at the end?
Answer:
6,079.42
Step-by-step explanation:
FV = P (1 + r / n)^Yn
P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.
I need helpppppp I’ve been stuck for a while
Answer:
i think its d
Step-by-step explanation:
1025 + 503 – 1412 – 7
-3c-11+14c=-14c-11
help me lol
Answer:
0
Step-by-step explanation:
-3c-11+14c=-14c-11
+14c
-3c-11+28c = -11
+11
-3c+28c = 0
25c=0
divide both sides by 25
c=0
Answer:
c=0
Step-by-step explanation:
-3c-11+14c=-14c-11
Combine like terms
-11c -11 = -14c -11
Add 11 to each side
-11c-11+11 = -14c -11+11
-11c = -14c
Add 14c to each side
-11c+14c = -14c+14c
3c =0
Divide by 3
3c/3 = 0/3
c =0
If A [4 3 ] is a singular matrix find the
[a 3 ] value of 'a'.
Step-by-step explanation:
If A [4 3 ] is a singular matrix find the
[a 3 ] value of 'a'.
a=4
A gardening club has 21 members, of which 13 are males and the rest are females.What is the ratio of females to all club members?
Answer:
8:21
Step-by-step explanation:
Suppose a publishing company estimates that its monthly cost is
C(x) = 600x2 + 300x and its monthly revenue is
R(x) = -0.423 + 700x2 – 600x + 500, where x is in thousands of
books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?.
Enter the explicit rule for the geometric sequence.
120,40,403,409,4027
Answer:
120(1/3)^n-1
This is the correct answer for sure.
What is the product?
Answer:
15a^5 b^15
Step-by-step explanation:
_____________
PLS ADD EXPLANATION
Cylinder radius is 2 cm height is 10cm what is the surface area
Given:
Radius of a cylinder = 2 cm
Height of the cylinder = 10 cm
To find:
The surface area of the cylinder.
Solution:
The total surface area of the cylinder is:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]r=2[/tex] and [tex]h=10[/tex] in the above formula, we get
[tex]A=2\pi (2)(10)+2\pi (2)^2[/tex]
[tex]A=40\pi +2\pi (4)[/tex]
[tex]A=40\pi +8\pi [/tex]
[tex]A=48\pi [/tex]
Therefore, the surface area of the cylinder is [tex]48\pi [/tex] square cm and its approximate value is 150.8 square cm.
Pls I need help this
Answer:
the third side is 4.
Step-by-step explanation:
Using Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute
the numbers to show ([tex]\sqrt{65})^{2}[/tex] + [tex]b^{2}[/tex] = [tex]9^{2}[/tex] and solve for b. The square root and square cancel each other out, so you get 65 + [tex]b^{2}[/tex] = 81.
Subtract 65 from both sides to get [tex]b^{2}[/tex] = 16.
Then take the square root of both sides to get b = [tex]\sqrt{16}[/tex] which equals 4.
30% of my money is $24 how much is my total money
Answer:
Hope this helps!
Please mark brainliest!
24x3=72
And 10% of 24 is 2.4
So $74.04
Answer: 80
Step-by-step explanation:
100 ----- x
30 ------ 24
V
10// ----- x
3// ------ 24
V
3 · x = 24 · 10
3x = 240
x = 240/3
x = 80
What is the answer? To this question?
Answer:
20
Step-by-step explanation:
f(x) = 30
30 = 1.8x -5.4
35.4 = 1.8x
x = 35.4/1.8
x = 19.666
Please help me ASAP
Question is in photo, thank you!
Answer:
the first and third option
Step-by-step explanation:
In the initial recipe, the ratio of tomato sauce to chile sauce is 1 : 3/2
To make it spicier this ratio has to be higher than the initial ratio
Ratio in the first option : 1/2 : 1 = 1 : 2
option 2 : if both recipes are double, the proportion of ingredients remain the same
oprion 3 : 1 : 3
option 4 : 1 : 1
option 5 : 1 : 5/3
can some one answer please
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.
What is the oblique asymptote of gx) = x2-3x-5?
O y = x + 5
O y = x – 5
O y = 5x
O y = -5x
Answer:
B) [tex]y=x-5[/tex]
Step-by-step explanation:
Because [tex]g(x)=\frac{x^2-3x-5}{x+2}[/tex] simplifies to [tex]x-5+\frac{5}{x+2}[/tex], we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be [tex]y=x-5[/tex]. See the attached graph for a visual.
Answer:
B
Step-by-step explanation:
Did it rn
Helpppp does anyone know
======================================================
Explanation:
We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.
According to that theorem, the interior angles x and 53 add up to the exterior angle 158
x+53 = 158
x = 158-53
x = 105
This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.
----------
If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.
We can find y by noting how 158 and y are supplementary
158+y = 180
y = 180-158
y = 22
Then we use the fact that adding three angles of any triangle always gets us 180 degrees
x+y+53 = 180
x+22+53 = 180
x+75 = 180
x = 180-75
x = 105
Effectively, this example helps reinforce why the remote interior angle theorem is true.