Calculate the length of the opposite side of a right triangle with a hypotenuse of 16 inches and angle of 25 formed at the intersection between the adjacent side and the hypotenuse
Answers
Answer:
6.76 in
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle formed at the intersection between the adjacent side and the hypotenuse , and the opposite side is x :
Replacing with the values given:
Sin 25 = x/ 16
Solving for x
sin25 (16) =x
x= 6.76 in
Feel free to ask for more if needed or if you did not understand something.
Related Questions
Please help will mark brainliest
Eighteen cyclists were each asked the number of miles they biked last week.
Their responses are given below.
Answers
Answer:
(a) The complete frequency distribution is shown below.
(b)The histogram is attached below.
Step-by-step explanation:
The data for the number of miles biked by eighteen cyclists last week is as follows:
7, 21, 12, 4, 5 , 18, 10, 23, 11, 13, 20, 4, 24, 4, 9, 11, 6, 23
(a)
A frequency distribution is to formed for the data with a class width of 6.
The class intervals are provided.
The complete frequency distribution is as follows:
Class Interval Frequency
2 to 7 6
8 to 13 6
14 to 19 1
20 to 25 5
(b)
The histogram is attached below.
Which is the equation of the line with slope 2 that passes through (8,14).
a. y=2x+2
b. y=2x-2
C. y=x-2
d. y=2-2x
Prove that your answer is true.
Answers
14 = 2(8) + b
14 = 16 + b
-2 = b
what is the value of x+7 when x=3?
Answers
Answer:
10
Step-by-step explanation:
Replacing x for three (x=3) would make the equation then read 3+7
Answer:
The answer is 10.
Step-by-step explanation:
You have to substitute x = 3 into the expression :
[tex]x + 7[/tex]
Let x = 3,
[tex]3 + 7 \\ = 10[/tex]
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a = 2 and r = 3
a5 = [?]
Answers
Answer:
162
Step-by-step explanation:
Since the ratio is 3, the terms are 3 times the term before.
So the answer is 2*3^4 = 162
Which fraction is smallest?
4/35 OR 1/7 ?
Answers
Answer:
1/7 is the smallest fraction
can someone lemme borrow their heart i been feeling lonely and i just want to be loved
Answers
explanation:
same
Answer:
yes, of course.
Step-by-step explanation:
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In the figure below, triangle RPQ is similar to triangle RTS.
Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.
What is the distance between P and Q?
24
42
50
54
Answers
Answer:
The distance between P and Q is 54
Step-by-step explanation:
We are given that triangle RPQ is similar to triangle RTS.
Property of similar triangle: The ratio of any pair of corresponding sides is the same.
So, by property : [tex]\frac{RP}{RT}=\frac{PQ}{ST}[/tex]
PR=42
PQ=x
ST=36
RT=28
So,[tex]\frac{42}{28}=\frac{x}{36}[/tex]
[tex]\frac{42 \times 36}{28}=x[/tex]
54=x
Hence the distance between P and Q is 54
Answer:
D) 54
Step-by-step explanation:
Completed the test earlier
Two planes are flying away from Toronto Pearson International Airport. The Air Canada
plane is flying with an average speed of 800 km/h in the direction of N30°W and the
British Airways plane is flying with an average speed of 750 km/h in the direction of
545°W. Assuming that the planes left at the same time, using different runways, how
far apart (to the nearest km) are the two planes after 90 minutes? N30°W means the angle
between north and west is 30° and 545°W the angle between south and west is 45°.
Please help ASAP!
Answers
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
what two numbers are located exactly 3/2 unfits from 1/2 on the number line?
Answers
Answer: One of the numbers would be 2, and the other would be -1.
Step-by-step explanation: Looking at a number line, you can move 3 half units in either direction of the original point, in this case being 1/2, to find your answers
Yo can someone help me out please?
Answers
Answer:
56.52in^3
Step-by-step explanation:
V=πr^2h
V=3.14×3^2×6in/3
V=3.14×9in^2×6in/3
V=3.14×54in^3/3
V=3.14×18in^3
V=56.52in^3
What is the solution to the system of equations? y = –5x + 3 y = 1 (0.4, 1) (0.8, 1) (1, 0.4) (1, 0.8)
Answers
Answer:
y = –5x + 3....... 1
y = 1 ..........2
Substitute y = 1 into the first equation
y = –5x + 3
1 = - 5x + 3
-5x = 1-3
- 5x = - 2
Divide both sides by - 2
x = 2/5 or 0.4
x = 0.4 y = 1
The solution to the above system of equations is ( 0.4 , 1)
Hope this helps
Answer:
0.4, 1
Step-by-step explanation:
A, The first one
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answers
Answer:
4^15/ b^21
Step-by-step explanation:
( b^7 / 4^5) ^ -3
b^7 ^ -3 / 4^5^-3
We know that x^y^z = x^ (y*z)
b^ (7*-3) / 4^(5*-3)
b ^ -21 / 4 ^ -15
We know that a^ -b = 1/ a^b
We do not like to leave negative exponents
1 * b^21 * 4 ^15
4^15/ b^21
hhhhhhheeeellllpppp mmmmmeeeeee
Answers
The surface area is basically the area of the surface of the shape. So, if you have a cube, it’s the area of all of the surface of the cube, not anything inside.
We see that we have a net of this square pyramid. If we fold it up, the square and four triangles will make up the surface of the 3D shape we see. So, we need to find the area of all of these shapes.
SQUARE
To find the area of a square, you multiply one of the sides by itself (all the sides are the same)
10(10)=100
TRIANGLES
To find the area of a triangle, you take the base and multiply the height and then divide it by two.
10(12)=120
120/2=60
Since we have four triangles, we multiply it by four.
60(4)=240
Finally, we add this all up.
240+100=340
Therefore, the answer is 340 square inches.
I hope that this helps! Have a wonderful day!
A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2/25. How many blue marbles are in the bag?
2
3
5
6
Answers
Answer:
6 blue marbles
Step-by-step explanation:
Given;
Total number of marbles N = 15
probability of randomly selecting a green marble
P(G) = 1/5
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25
P(G∩B) = P(G) × P(B)
P(B) = P(G∩B) ÷ P(G)
The probability of selecting a blue marble
P(B) = 2/25 ÷ 1/5 = 2/5
The number of blue marbles N(B) = P(B) × N
N(B) = 2/5 × 15 = 6
There are 6 blue marbles
what is the solution to 5/6x-1/3>1 1/3
Answers
Answer:
Step-by-step explanation:
[tex]\frac{5}{6}x-1>1\frac{1}{3}\\\\\frac{5}{6}x-1>\frac{4}{3}\\\\\frac{5}{6}x>\frac{4}{3}+1\\\\\frac{5}{6}x>\frac{4}{3}+\frac{3}{3}\\\\\frac{5}{6}x>\frac{7}{3}\\\\x>\frac{7}{3}*\frac{6}{5}\\\\x>\frac{7*2}{5}\\x>\frac{14}{5}\\\\x>2\frac{4}{5}[/tex]
If Andre made another countryard scale drawing at a scale of 1 to 12, would this drawing be smaller or larger than the first drawing ? Explain your reasoning.
Answers
Answer:
smaller
Step-by-step explanation:
If Andre is using a scale of 1:12 then we can safely say that the courtyard drawing will be smaller than his first drawing. This is because this scale means that for every 12 units of measurement on the original the newer version will be 1 unit of measurement. Therefore making the new drawing 12 times smaller than the first one that Andre made.
Which ordered pair is the solution to the system of equations?
x + 2y = -8
y= 1/2x-2
Answers
x + 2(1/2x - 2) = -8
x + x - 4 = -8
2x - 4 = -8
2x = -8 + 4
2x = -4
x = -4/2
x = -2
(-2, -3)
Explanation:
Step 1 - Multiply the second equation by two and add the two rows together
x + 2y = -8
y = 1/2x - 2
x + 2y = -8
2y - x = -4
4y = -12
Step 2 - Divide both sides of the equation by four
4y = -12
4y/ 4 = -12/ 4
y = -3
Step 3 - Substitute the negative three for y in the first equation and simplify
x + 2y = -8
x + 2(-3) = -8
x - 6 = -8
Step 4 - Add six to both sides of the equation
x - 6 = -8
x - 6 + 6 = -8 + 6
x = -2
Therefore, the ordered pair should be (-2, -3).
The answer appears incorrect, please help me correct it :)
Answers
Every line on the graph is 1/2 unit.
When y = 0, x would be -0.25 and 1.25
When y = 2, x would be -0.5 and 1.5
Point V lies between points U and W on Line segment U W.
A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.
If UW = 9x – 9, what is UW in units?
5 units
6 units
30 units
36 units
Answers
Answer:
The correct answer is (d) 36 units.
Step-by-step explanation:
Just took the test on edge :)
The measure of UW is 36 units
The measure of angles between segmentsFrom the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;
UV + VW = UW
Given the following
VW = 4 x + 10.
UW = 9x – 9
UV = 2x - 4
Substitute
2x - 4 + 4x + 10 = 9x - 9
6x + 6 = 9x - 9
-3x = -15
x = 5
UW = 9x - 9
UW = 45 - 9
UW = 36 units
Hence the measure of UW is 36 units
Learn more on angles here: https://brainly.com/question/25770607
what is the value of x in 2.5(6x-4)=10+(1.5+0.5)
Answers
Answer:
x = 22/15
Step-by-step explanation:
2.5(6x-4)=10+(1.5+0.5)
Combine like terms
2.5(6x-4)=10+(2)
2.5(6x-4)=12
Divide each side by 2.5
6x-4 = 4.8
Add 4 to each side
6x = 8.8
Divide by 6
6x/6 = 8.8/6
x = 88/60
x = 22/15
Please answer the question below and show your work!
|
|
|
|
v
Answers
Answer:
10
Step-by-step explanation:
F + V − E = 2
Where F is the number of faces, V is the number of vertices and E is the number of edges
F + 16 - 24 = 2
Combine terms
F -8 = 2
Add 8 to each side
F -8+8 =2+8
F = 10
If you randomly select a letter from the phrase "Do not run on Ichiro," what is the probability that you select a vowel? (Your answer must be in the form of a reduced fraction.)
Answers
Answer: 7/16
Step-by-step explanation:
Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
For probability it is selected amount/ total amount
So 7/16, and this fraction is in its most simplified (reduced) form.
If this helped please mark me brainliest
The probability is [tex]7\div 16[/tex]
The calculation is as follows:Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
So, the probability is the same.
Find out more information about the probability here: https://brainly.com/question/795909?referrer=searchResults
Find the product.
(3x + y) (3x - 3y)
Answers
Answer:
[tex]9x^{2} -6xy-3y^{2}[/tex]
Step-by-step explanation:
[tex](3x+y)(3x+-3y)[/tex]
[tex](3x)(3x)+(3x)(-3y)+(y)(3x)+(y)(-3y)[/tex]
[tex]9x^{2} -9xy+3xy-3y^{2}[/tex]
[tex]9x^{2} -6xy-3y^{2}[/tex]
Answer:
9xsq - 6xy -3ysq
Step-by-step explanation:
3x x 3x = 9xsq
3x x -3y= -9xy
y x 3x = 3xy
y x -3y= -3ysq
9xsq -9xy +3xy -3ysq
9xsq -6xy - 3ysq
sq = squared
Which of these quadratic expressions is equivalent to
x^2 + 12x +32
A. (2x+8)(x+2)
B. (x+8)(x+4)
C. (x+2)(2x+6)
D. (x+2)(x+6)
Answers
Answer:
B. (x+8)(x+4)
Step-by-step explanation:
[tex] {x}^{2} + 12x + 32 \\ = {x}^{2} + 8x + 4x + 32 \\ = x(x + 8) + 4(x + 8) \\ \red { \bold{ = (x + 8)(x + 4) }}[/tex]
PLEASE HELP!!
According to the graph, what is the value of the constant in the equation below?
Answers
Answer:
C. 0.4
Step-by-step explanation:
Hope this helps :3
(feedback is very helpful ^w^)
A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?
Answers
Answer: $23,600. ; $318,600
Step-by-step explanation:
From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.
The value of the increase will be 8% of $295,000. This can be mathematically written as:
= 8% of $295,000
= 8/100 × $295,000
= 0.08 × $295,000
= $23,600
The current value of the house will be:
= $295,000 + $23,600
= $318,600
4/5 of 30 =
2/9 x 45 =
24 x 1/6 =
Answers
Answer:
1) 24
2) 10
3) 4
Step-by-step explanation:
2/9 x 45 = 10
1/6 x 24 = 4
A two digit number is written at random what is the probability that the number will be odd
Answers
Answer:
50%
Step-by-step explanation:
So there are 90 2 digit numbers. There are 45 2 digit odd numbers.
The probability should be 50%
is the bisector of BOT.
Answers
Answer:
uh say that again slower
Step-by-step explanation:
Carol rolled a dice 150 times she rolled a six 29 times
Use carols data to estimate the probability of rolling a six with this dice
Give your answer as a fraction
Answers
Answer:
If Carol rolled a six 29 times in total (out of the 150 dice rolls) then the fraction would be 29/150
Step-by-step explanation: I think
