Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.
Answer:
Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.
What is the shape of the distribution shown below?
Choose 1 answer:
The distribution is symmetrical.
B
The distribution is not symmetrical.
Age of each intramural volleyball participant
PLEASE HELP❌❌❌
Answer:
B. The distribution is not symmetrical.
Step-by-step explanation:
In order for the distribution to be symmetrical, the median line (line in the box) should be in the center. This box plot is more positvely skewed.
Does a rhombus have perpendicular line segments
Answer:
A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:
Its diagonals divide the figure into 4 congruent triangles.
Its diagonals are perpendicular bisectors of eachother.
If all of a rhombus' angles are right angles, then the rhombus is a square.
Answer:yes it does have perpendicular lines
Step-by-step explanation:
Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?
Answer:
he watched 2movie in 1st year
0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to
Answer:
12/99
Step-by-step explanation:
x=0.121212
100x=12.121212
100x-x=12.1212-0.1212
99x=12
x= 12/99
Answer:
6/50 is simplified to 3/25
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values: The decimal number = 0.12
parameters & values: The decimal number = 0.12step 2 Write it as a fraction
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12
help!!!!!!!!!!!!!!!!!!
Answer:
a = 8, B = - 2, c= - 21
Step-by-step explanation:
Just expand the brackets carefully
What is the quotient of 5/6 and 3/8?
Answer:
2 2/9
Step-by-step explanation:
5/6 ➗3/8
We can use the reciprocal.
So, 5/6 * 8/3 = 40/18.
40/18 can be simplified to 20/9 or 2 2/9
find the slope of the line that is perpendicular to the line graphed in the figure
Answer:
- [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
No. of acute angles in the given figure:_____
Answer:
looks like there's 5
Step-by-step explanation:
acute angles are under 90°
obtuse are over 90°
right angles are 90°
Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment
Answer:
137027.1 Rupees
Step-by-step explanation:
(125200+5302) * 0.05 = 6525.1
130502+6525.1 = 137027.1
find the last two digits of 2^2016
Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help
Answer:
Yes, this is a function.
Step-by-step explanation:
Every input has its own unique output (no x number goes to more than one y number).
24 - 8X = -16
Help pls
Answer:
5
Step-by-step explanation:
24-8X=-16
24+16=8X
40=8X
X=5
Answer:
x=5
Step-by-step explanation:
24 - 8x = -16
=> 24 + 16 = 8x
=> 8x = 24 + 16
=> 8x = 40
=> x = 40/8
=> x = 5
When multiplying two negative numbers, what kind of number does one always get for an answer?
Answer:
a positive number
Step-by-step explanation:
-(-) = +
for example, -1 * -1 = 1
what is the probability i will roll a 4 or multiple of 3 on a standard # cube
Answer:
probability is 1/2
Step-by-step explanation:
multiples of 3 that will occur in standard dice = 3,6
hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:
3/6 = 1/2
PLEASE HELP ME THIS IS DUE TODAY :( YOU WILL GET 20 POINTS
The picture is below :(
Question: If a point C is inside AVB then m AVC +_______= m AVB
m∠AVC+m∠CVB=m∠AVB. Option b is correct.
Given a figure in which point C is inside ∠AVB and ∠AVB=62°.
A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.
Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then
From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB
m∠AVC+m∠CVB=m∠AVB
Now substitute the values we get
39°+23°=62°
62°=62°
So both sides are equal and it's proven.
Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.
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a jar contains 65 pennies 27 nickels 30 dimes and 18 quarters a coin is randomly selected from the jar find each probability
The required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].
Given:
Pennies = 65
Nickels = 27
Dimes = 30
Quarters = 18
To find:
The probability of each.
Solution:
The probability formula:
[tex]\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]
Total number of coins:
[tex]65+27+30+18=140[/tex]
The probability of selecting Pennies is:
[tex]P(\text{pennies})=\dfrac{65}{140}[/tex]
[tex]P(\text{pennies})=\dfrac{13}{28}[/tex]
The probability of selecting nickels is:
[tex]P(\text{nickels})=\dfrac{27}{140}[/tex]
The probability of selecting dimes is:
[tex]P(\text{dimes})=\dfrac{30}{140}[/tex]
[tex]P(\text{dimes})=\dfrac{3}{14}[/tex]
The probability of selecting quarters is:
[tex]P(\text{quarters})=\dfrac{18}{140}[/tex]
[tex]P(\text{quarters})=\dfrac{9}{70}[/tex]
Therefore, the required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].
Learn more:
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solve for x
8x = y
PLEASE HELPPPPPP
Hi ;-)
[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]
X/6 = 8 what is the answer
Answer:
x = 48
Step-by-step explanation:
Multiply both sides by 6
x = 6 * 8
x = 48
Check:
48/6 = 8
8 = 8
Answer:
[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]
When 7 is subtracted from four times a certain number, the answer is 37. What is the
number?
Answer:
brainliest is appreciated
Which of the following points lies on the line defined by y = -3x – 7?
A. (2, -1)
B.(-2, 1)
C. (-2,-1)
D. (1,8)
E. (2, 1)
=========================================================
Explanation:
If we tried the x coordinate of choice A, then,
y = -3x-7
y = -3*2-7
y = -6-7
y = -13
This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.
Let's try x = -2
y = -3x-7
y = -3*(-2)-7
y = 6-7
y = -1
This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.
If we tried x = 1, then,
y = -3x-7
y = -3*1-7
y = -3-7
y = -10
Which shows that (1,-10) is a point on this line, which rules out choice D.
The visual summary is shown below as a graph. Only point C is on the red line.
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
Your house is located at point L. Your friend's house is located at point N.
M is the midpoint of IN. How far do you need to travel to walk home from
your friend's house?
3x
2x+ 2
M
N
Answer: 12 units
Replace "units" with "feet", "meters", etc. if your teacher instructs it.
==============================================================
Explanation:
M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.
So,
LM = MN
3x = 2x+2
3x-2x = 2
x = 2
Use this x value to then say
LM = 3x = 3*2 = 6MN = 2x+2 = 2*2+2 = 4+2 = 6Segments LM and MN are 6 units each.
From that, we know,
LN = LM+MN = 6+6 = 12
The distance from your house to your friends house is 12 units.
Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G
The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100
A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.
Answer:
the cost continues to increase
Step-by-step explanation:
the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.
The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]
Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]
To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]
Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).
Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To know more about infinity:
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i need helpp !! ill mark brainliest !
393/1000. i think, sorry. :c
Explain how you can use absolute value to tell whether
the sum of two integers is positive or negative.
Answer:
Let the integers are p and q.
In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.
Examples:
10 + 88 = 98-20 + (-15) = -35In case one of the integers is negative and one positive.
p < 0, q > 0Use absolute value in this case.
Subtract the numbers and apply the sign of the number with the greater absolute value.
Examples:
- 10 + 15 = |15 - 10| = |5| = 5- 15 + 10 = - |15 - 10| = - |5| = -5Step-by-step explanation:
Let the numbers be x and y
If both are of same signs then
|x + y| = x + y
-|x + y| = -(x + y) = -x - y
If one is negative and one is positive
-|x + (-y)| = -|x - y| = -x + y
-|y + (-x)| = -|y - x| = -y + x
help me please????????
Answer:
c
Step-by-step explanation:
Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.
Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.
For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.
