Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
15.3 m
10 m
24.6 m
22.4 m
Answers
Answer:
Solution given:
perpendicular[p]=x
base[b]=11.6m
hypotenuse[h]=19.2m
by using Pythagoras law
h²=p²+b²
19.2²-11.6²=x²
x=[tex]\sqrt{234.08}[/tex]
x=15.3m
option
a.
15.3 m
Answer:
15.3 m
Step-by-step explanation:
c refers to the longest side (hypotenuse) whereas a and b referes to the two other smaller sides of atriangle.
pythagoras theorem
a^2 + b^2 = c^2
11.6^2 + x^2 = 19.2^2
134.56 + x^2 = 368.64
x^2 = 368.64 - 134.56
x^2 = 234.08
x=[tex]\sqrt{234.08[/tex]
x=15.29
x=15.3 m
Related Questions
A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge of
the park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular path
along the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show that
Danny runs about 970 metres less than his usual training session
Answers
Answer:
971 m to nearest metre
Step-by-step explanation:
training distance = 5*2*(260 + 480) m
Diagonal distance = √(2602 + 4802) m
Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m
Difference between these:
5 × 2 × ( 260 + 480 ) - 5 ×( 260 + 480 + √ 260 ^ 2 + 480 ^ 2 )
= 970 . 5311872087638744
difference = 971 m to nearest metre
Hope this answer helps you :)
Have a great day
Mark brainliest
Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 200 miles per minute to travel to the moon? Round to the nearest hour.
Answers
Answer:
20 hours
Step-by-step explanation:
Mathematically we know that;
time = distance/ speed
distance = 239,000 miles
Time = 200 miles per minute
time = 239,000/200 = 1195 minutes
Let us convert this to hours by dividing by 60 (since 60 minutes equal an hour
So we have 1195/60 = 19.91
This is approximately 20 hours
Answer:
D
Step-by-step explanation:
20 hours
What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST.
Answers
Answer:
A cone with diameter 6 units
Step-by-step explanation:
Rotating the triangle about line m will give us a cone with radius 3
If the radius is 3, the diameter is 2*r = 2*3 = 6
Answer:
Step-by-step explanation:
a cone with a radius of 5
The volume of a cuboid, whose length and height are equal is 108 m3. If the breadth is 12 m, find the cuboid's length and surface area.
Answers
Answer:
Surface area = 162 m^2
Step-by-step explanation:
Below is the given values:
Length of cuboid = Height of cuboid
The volume of the cuboid = 108 m^3
The breadth of the cuboid = 12 m
Now use the volume formula:
Volume = area of one surface × height
Volume = (L x B) * H
(L x 12) * H = 108 (L = H)
L x 12 x L = 108
L^2 = 108/12
L = 3 m
Thus length and height is = 3m
Surface area = 2 (L x B + b x h + L x h)
Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)
Surface area = 162 m^2
28. Barrett's mom has a flower vase that is shaped like a perfect cylinder.
The vase has a height of 9 inches, and its radius is 4 inches. What is the
total volume of water that the flower vase can hold?
Answers
Answer:
Vase volume is 452.16 in³
Step-by-step explanation:
The question asks for the volume of a cylinder of radius r and height h. The relevant formula is V = (pi)(r)^2*h
With h = 9 in and r = 4 in, that max volume (of water) is
V = (3.14)(4 in)^2*(9 in) = 452.`16 in³
Match them BRAINLIEST IF CORRECT
Answers
Answer:
1/2 for the red card
1/52 for queen of hearts
1/4 for clubs
3/13
Step-by-step explanation:
the red card is 1/2 because the only other color is black
there is only one queen of hearts
it is one of four possible symbols
because that is the only one left
Bob works as a carpenter and needs to buy some tools for
work. A framing hammer costs $22. A 4-foot level costs
$18. A carpenter's square costs $7. What are Bob's total
expenses for these tools?
Answers
Solve this plz for god sake
Answers
Answer:
AB = 8.66 m
Step-by-step explanation:
Here, we want to get the length AB
What we have is a right triangle
so to get the length AB, we are going to use the appropriate trigonometric ratio
From the question, AB faces the given angle and that makes it the opposite
AC faces the right angle and that makes it the hypotenuse
The relationship between the hypotenuse and the opposite can be defined by the sine
the sine of an angle is the ratio of the length of the opposite to the hypotenuse
so, we have it that;
sine 60 = AB/10
AB = 10 * sine 60
AB = 8.66 m
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario. Which graph represents this wage increase for x < 12?
Answers
The solution is Option C.
The graph which represents the inequality equation is
f ( x ) = { 0.50 , if x < 3
1 , if 3 ≤ x < 6
1.50 , if 6 ≤ x < 9
2.00 , if 9 ≤ x < 12 }
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number of years be = x
Let the increment in wages be = y
Now , the equation will be
For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour
So , the inequality equation is x < 3 , f ( x ) = 0.50
Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00
So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1
Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour
So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50
Employees of at least nine years, but less than twelve years receive an increase of $2.00
So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
Therefore , the graph which represents the solution is Option C.
Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
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URGENT: Graph y = cosx for -3\pi/2 <= x <= -pi/2
What is the largest value in the range?
A. -1
B. 0
C. 1/2
D. 1
Answers
Find the distance from point P to RQ
Answers
Answer:
option A : about 2.8 units
Step-by-step explanation:
To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).
[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]
= 2.83 units
Answer:
A
Step-by-step explanation:
Remark
The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = 1
x1 = 3
y2 = 1
y1 = 3
Solution
d = sqrt( (1 - 3)^2 + (1 - 3)^2 )
d = sqrt( (-2)^2 + (-2)^2 )
d = sqrt ( 4 + 4)
d = sqrt(8)
d = 2√2
d = 2.8
Simplify the expression. (–8.6)0
1
–1
–8.6
0
Answers
Answer:
(-8.6)0
= 0
explanation:
Can someone help me?It's urgent and thank you!
Answers
Answer:
575.71
Step-by-step explanation:
Year 1: 960 x .88 (100%-12%)=844.80
Year 2: 844.80 x .88 =743.424
Year 3: 743.424x.88=654.21
Year 4: 654.21 x .88=575.71
Quadrilateral MNOP is similar to quadrilateral SRUT.
Which proportion can be used to find the value of x?
Answers
Answer:
8/12 = x/14
Not sure if this is a proportion but this is how I would solve it.
Find the value of x. Give a reason to justify your solution.
Answers
Answer:
x =52
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles. (Exterior Angle Property)
x+72 = 90+34
x+72 = 124
x+72-72 = 124 - 72
x =52
por favor, me urge hacerla
Answers
Answer: do you have this in english so that I can help
Step-by-step explanation:
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answers
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3
A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?
Answers
x/6 + 12 = 6
Please help me
Answers
Answer:
[tex]x=-36[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} +12=6[/tex]
[tex]\frac{-36}{6} +12=6[/tex]
[tex]-6+12=6[/tex]
Hence, x = -36
Answer:
X = -36
Step-by-step explanation:
x/6 + 12 = 6
-12 = -12
x/6 = -6
(6) = (6)
x = -36
Really stuck, please help
Answers
Answer:
Step-by-step explanation:
what do you know about the angles of a triangle? They make 180° right?
since you know that, now you can find angle Y , by using the triangle on the left, and you can find X by using the triangle on the right, then, when you know X & Y , use both of those to find Z :) got it?
Answer:
we know that a triangle's angles MUST add up to 180 degrees.
We can look at the triangle with the angles of 55, 80, and y. As the angles must add to 180, 55+80+y must be 180. Therefore, we find that y is equal to 45.
We can look at the triangle with the angles of 100, 60, and x. As the angles must add to 180, 100+60+x must be 180. Therefore, we find that x is equal to 20.
We then look at the triangle formed from x, y, and z. As the angles must add to 180, x+y+z must be 180. x is 20, y is 45, so 20+45+z = 180. Thus, z is 115.
So:
y = 45
x = 20
z = 115.
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answers
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
Find the sale price of an $18 item after a 50% discount.
Answers
Rewrite 50% as a decimal : 0.50
Multiply the price by 0.50:
18 x 0.50 = 9
The sale price is $9
Answer:
$9
Step-by-step explanation:
price of an item=$18
discount=50%
sale price =? (be x)
sale price= original price -discount% of original price
x=$18 -50/100 * $18
x=$1800-$900/100
=$900/100
=$9
therefore sale price of an item is $9.
Pythagoras
1.if the radius of the smaller circle is 3, find it’s area
2. Find the area of the yellow ring
3. Find the area of the white ring
Answers
Answer:
1. [tex]Area = 28.26[/tex]
2 and 3: See explanation
Step-by-step explanation:
Solving (1)
[tex]r = 3[/tex] --- radius
The area is:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14* 3^2[/tex]
[tex]Area = 28.26[/tex]
There are no enough information to solve (2) and (3) as the radius and/or diameter are not provided.
However, the following formula will be used to calculate the required areas.
[tex]Area = \pi r^2[/tex] --- same process as (1)
write 36m÷9m in standard form
Answers
The expression (36m ÷ 9m) is equivalent to 4.
What is division in mathematics? What is a mathematical function, equation and expression?division : Division is the process of splitting a number or an amount into equal parts.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the following division as follows -
(36m ÷ 9m)
We have the following expression -
36m ÷ 9m
So, we can write -
(36m/9m)
36/9
4
Therefore, the expression (36m ÷ 9m) is equivalent to 4.
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2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?
Answers
Answer:
5 < L < 18,5
5 < L < 18,52 < W < 5,5
Step-by-step explanation:
longeur = length = L
largeur = width = W
L = 3W +2
12 < 2L+2W < 48
———————————————
12 < 2*(3W+2)+2W < 48
12 < 6W+4 +2W < 48
12 < 8W+4 < 48
8 < 8W < 44
2 < W < 5,5
———————————————
12 < 2L+2W < 48
L = 3W +2
L - 2 = 3W
L/3 -2/3 = W
12 < 2L +2*(L/3 -2/3) < 48
12 < 2L + ⅔L -4/3 < 48
12 < 2⅔L -4/3 < 48
13⅓ < 2⅔L < 49⅓
5 < L < 18,5
hope it helps.
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A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible solutions are correct? Check all that apply.
A circle and a line always intersect, so the system can have an infinite number of solutions.
A circle and a line can intersect at one point, so the system can have one solution.
A circle and a line can intersect at three points, so the system can have three solutions.
A circle and a line can intersect twice, so the system can have two solutions.
A circle and a line do not have to intersect, so the system can have no solution.
Answers
Answer:
the solution is where the two objects intersect ...
1) A line can completely miss the circle (no solutions is possible)
2) a line can "kiss" the circle at one point (one solution)
3) note that a line can not "bend"... it can touch one side of the circle pass
through the center and touch the circle in a second spot (going out) .. two solutions...
those are the three possibility that are in the question that was posted...
three check comments are true
Step-by-step explanation:
74 + -28 =[find the difference and put the sign of big number]
Answers
Answer:
It should be 74+(-28) as 2 signs can bit be put together.
74+(-28)
=74-28 (sign only changes when there is (minus) before it
=48
We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.
I HOPE IT HELPS
HAVE A GREAT DAY
[tex]#Liliflim✌[/tex]
If p q is true and q is true, then p is ___ true. Answer choices are always, never, sometimes
Answers
Answer:
sometimes
Step-by-step explanation:
Which equation represents a line that passes through (2, -1/2) and has a slope of
3?
Answers
Answer:
it should be d or c
Step-by-step explanation:
Step by step: y= 3x -19/3
Point-slope form- y+1/3 =3•(x-2)
There were 60 7th grade students last year in CHAMPS. This year, there are 48 7th grade students. What is the percent decrease from last year to this year?
Answers
20%
Hope this helps! :)
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