Answers
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse
12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20
You know hypothenuse is 20
Opposite/hypothenuse
Solution: 16/20
Simplify if you need to (4/5)
Answer:
[tex]\boxed {\boxed {\sf sin(\theta)=\frac {16}{20}}}[/tex]
Step-by-step explanation:
We are asked to find the sine for the angle indicated. Remember that sine is equal to the opposite over the hypotenuse.
sin(θ)= opposite/hypotenuseAnalyze the triangle given. We have the 2 legs (16 and 12), but we do not have the hypotenuse (the longest side). We must solve for it.
Since this is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse. We know 16 and 12 are the legs.
[tex](16)^2+(12)^2=c^2[/tex]
Solve the exponents.
16²= 16*16=25612²= 12*12= 144[tex]256+144=c^2[/tex]
[tex]400=c^2[/tex]
Since we are solving for c, we must isolate the variable. It is being squared, so we take the inverse: a square root.
[tex]\sqrt{400}=\sqrt{c^2} \\20=c[/tex]
Now we know the hypotenuse is 20. The side opposite of the angle θ is 16.
opposite= 16 hypotenuse=20[tex]sin (\theta)= \frac {opposite}{hypotenuse} \\sin (\theta)= \frac{16}{20}[/tex]
The sine of the angle is equal to 16/20. This can be reduced to 4/5 if necessary (by dividing the numerator and denominator by 4).
Related Questions
Which is the correct stem-and-leaf plot for the data set?
16, 15, 47, 41, 40, 39, 16, 37
Answers
Answer:
the first plotting was correct.
Step-by-step explanation:
the values will be arranged in an ascending order from their roots which are the first digit
Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?
Answers
Answer: Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?
Step-by-step explanation:
250 + $7,289 + $1,275 = 8814
Alan set his watch 13 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Alan last set his watch if the watch is 35 seconds behind?
Answers
31 additional days, getting behind by 31 seconds; this, added to the original 4 sec behind, gives you a total 35 seconds behind.
Now, that really isn't complicated, right?
y = 3x - 5 and y = 4x.
Answers
Answer: x = -5
New Equation (after substituting) 4x = 3x - 5
Subtract 3x from both sides
x = -5
This equation shows how the size of Terrence's sticker collection is related to the number of sticker packs he buys.
s = 20p
The variable p represents the number of sticker packs he buys, and the variable s represents the total number of stickers he has. How many sticker packs does Terrence have to buy to have a total of 20 stickers?
Answers
Answer:
400
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
I believe the answer is (A)
*Substituting the x and y values from the table into the equation(A) will balance the right side of the equation to the left side of the equation.
PLEASE HELPP ME!!!!
It would be greatly appreciated :)
Answers
Answer:
The slope of the line is 2/3
Answer: 1.5
Step-by-step explanation:
I plugged it in STAT, but you can do rise over run, or use the formula, y2-y2/x2-x1
-7 = 2x - 7
A. 0
B. 4
C. Infinite Solutions
D. No solutions
Answers
Answer:
A
Step-by-step explanation:
the variable is how many times the two will be multiplied, so 2 times 0 equals 0, there by making the problem. -7= - 7
Answer:
that will be A. 0
Step-by-step explanation:
first, i flip the equation
2x - 7= -7
next, i add both side by 7
2x−7+7=−7+7
2x=0
and finally, you divided by 2
2x/2 = 0/2
you get x = 0
Which of the following transformations shifts all points graphed in the standard (wy)
coordinate plane down 5 coordinate units?
A. (X, y-5)
B. (X, y+5)
C. (X-5y)
D. (K-5, y)
E. (X+5,y)
Answers
Answer:
B is your answer
Step-by-step explanation:
What is the theoretical probability of rolling a 3 on a die?
Answers
Answer:
1/6 or 16.67% chance
Step-by-step explanation:
Assuming its a normal six sided dice. You would have a 16.67% chance of getting a 3.
A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)
Answers
Answer:
The answer is B.
Step-by-step explanation:
Answer:
B.
1.09x + 1.59y + 1.59z
I hope this helps
Of all the animals admitted to the local pet hospital, 10 of them are dogs. They represent 25% of all the animals at the hospital. How many animals are at the hospital in total? A. 20 B. 30 C. 40 D. 50
Answers
Answer:
C. 40
Step-by-step explanation:
[tex]\frac{25}{100} = \frac{10}{y}[/tex]
[tex]\frac{1}{4} = \frac{10}{y}[/tex] (cross multiply)
40 = 1y (rewrite)
y = 40
The most efficient first step in the process to factor the trinomial 3x³-24x² + 36x is :
O A. factor out 3
O B. factor out 3x
O C. factor out (x - 2)
O D. factor out-1
Answers
Answer:
B
Step-by-step explanation:
Students plant 148 flowers at a community park. Seventy-eight percent of the flowers are pansies. Use
rounding to estimate how many flowers are pansies
Answers
A company is designing a new cylindrical water bottle the volume of the bottle by 204 cm the height of the water bottles 8.9 cm3 what is the radius of a water bottle use 3.14 for pie
Answers
Answer:
2.70cm
Step-by-step explanation:
Given data
Answer:
2cm
Step-by-step explanation:
Given data
Capacity/volume= 204 cm
Height= 8.9 cm
Required
The radius r
let us apply the expression for the volume of a cylinder
V=πr^2h
204=πr^2*8.9
204=3.14r^2*8.9
r^2= 204/27.946
r^2=7.30
r= √7.30
r=2.70cm
Hence the radius is 2.70cm
Find the area of the painted part of the image below. (Units in m)
Answers
Answer:
11 meters square.
Step-by-step explanation:
if the painted area is the gray it would be 10m
if its the white area its 9m
Expert Answer Please Find The Area Of A Circle With R=13.8 Explain Answer!
Answers
Answer:
if r= to 13.8 so the answer is 598.28
Need help as soon as possible pls help
Answers
1. The value of x is:
180° - 40° - 30° = 110°
2. The value of x is:
90°- 38° = 52°
Answer:
Step-by-step explanation:
180 = 40 + x + 30
110 = x
90 = 38 + x
52 = x
Find the surface area of the prism. Whoever solves this will guarantee get Brainliest Answer!!!
Answers
To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
Hope this helps!
F is a function that describes a sequence and is therefore defined over the positive
integers. Find the first four terms of the sequence.
f(n) = 100(-0.1)n-1
f(0) = -1000, f(1) = 100, f (2) = -10, f(3) = 1
f(1) = -10, f (2) = 1, f (3) = -0.1, f (4) = 0.01
f(1) = 100, f (2) = 10 f(3) = 1, f (4) = 0.1
f(1) = 100, f (2) = -10, f(3) = 1, f (4) = -0.1
Answers
Answer:
Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...
Step-by-step explanation:
What is 14 + 6 =
+11
Answers
Since, 14 + 6 = 20
Therefore, 14 + 6 = 9 + 11
dont forget to like and mark me
Answer:
31
Step-by-step explanation:
Which of the following graphs best represents a function that has a minimum value and x-intercepts of 3 and -1?
Answers
Answer:
a
Step-by-step explanation:
Which of the following could be used to calculate the total surface area of the figure?
Answers
Answer:b
Step-by-step explanation:
What is the area of a circle whose diameter is 102
Answers
Answer:
area = 8167.14 units ²
Step-by-step explanation:
area = πr²
r = 102/2 = 51
area = (3.14)(51²) = 8167.14 units ²
Solving forA
A=1
4πd2=1
4·π·1022≈8171.28249
Imagine drawing a figure with the following conditions:
VX
A quadrilateral with at least two right angles. Is the figure
described unique? Explain why or why not.
Answers
Answer:
with atleast two right angles in rectangle and it do not describe unique because it is simple
I need help with this please help me.
Answers
Answer:
a) $93, $117.80, $86.80, $68.20
b) $365.80
Step-by-step explanation:
a)
Add 12 hours to each p.m. time to make the subtraction of hours easier.
Also, use decimal numbers to do the subtraction. Remember that 0:30 means 30 minutes which is 0.5 hour, so 7:30 is the same as 7.5 as a decimal.
Monday: 8:00 to 15:30
15:30 - 8:00 = 1.5 - 8 = 7.5 hours
7.5 hours * $12.40/h = $93
Wednesday: 7:30 to 17:00
17:00 - 7:30 = 17 - 7.5 = 9.5 hours
9.5 hours * $12.40/h = $117.80
Friday: 9:00 to 16:00
16:00 - 9:00 = 16 - 9 = 7 hours
7 hours * $12.40/h = $86.80
Saturday: 10:30 to 16:00
16:00 - 10:30 = 16 - 10.5 = 5.5 hours
5.5 hours * $12.40/h = $68.20
b) Add all the daily amounts above.
$93 + $117.80 + $86.80 + $68.20 = $365.80
Help me pls I give points
Answers
Answer:
c=14.87
Step-by-step explanation:
use pythagorean theroem
10^2 + 11^2 =c^2
solve
100+121=c^2
c^2=221
c=14.87(rounded to nearest hundredths )
Martin bought a painting for $5000. It is expected to appreciate at a continuous rate of 4%. Write an exponential equation to model this situation
Answers
Answer:
y=5000(1.04)^t
Step-by-step explanation:
Given data
Cost of painting=$5000
Rate of increase=4%
the exponential increase expression is
y=P(1+r)^t
Where y= the total amount after growth
P= the initial cost of the painting
r= the rate of increase
t= the time interval
y=5000(1+0.04)^t
y=5000(1.04)^t
What is the fraction that is equal to 0.534
Answers
Answer:
267/500
Step-by-step explanation:
0.534 = 534 / 1000
Simplify to 267/500
Step-by-step explanation:
537/1000
this is the correct answer
Please help!!! I'll mark you as brainliest!!!!
What is 0.504854369 as a percentage rounded to the nearest tenth
Answers
easiest way to remember: a percentage is a decimal rounded 2 decimal places to the right
rounded to the nearest tenth, the percentage will be 50.5%
if u need more help tell me