Answer:
The part of the bridge that opens is 50 ft.
Step-by-step explanation:
The given parameters of the drawbridge are;
The entire length of the bridge = 100 feet
The height of the isosceles trapezoid formed = 25 feet
The angle at which the drawbridge meets the land ≈ 60°
Therefore, the part of the bridge that opens = The top narrow parallel side of the isosceles trapezoid
The length of each half of the bridge = (The entire length)/2 = 100 ft./2 = 50 ft.
Let 'x' represent the path of the waterway still partly blocked by each half of the bridge inclined
∴ x = 50 × cos(60°) = 25
x = 25 ft.
The path covered by both sides of the drawbridge = 2·x = 2 × 25 ft. = 50 ft.
The part of the bridge that opens = The entire length - 2·x
∴ The part of the bridge that opens = 100 ft. - 50 ft. = 50 ft.
The part of the bridge that opens = 50 ft.
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
please help!! will mark brainliest!!
Answer:
226.19 inches
Step-by-step explanation:
Can you help me solve this?
Y-intercept= 4, goes through the point (2, 3)
Please solve using y=Mx+b
Answer:
y=-1/2x+4 Is your answer
Step-by-step explanation:
y=mx+b
3=2x+4
-1=2x
x=-1/2
You already know y is 4 so y=-1/2x+4
please answer asap
i will mark brainliest
Which equation can be used to solve for in the following diagram?
Choose 1 answer:
А) 105 + (50 – 70) = 90
B) 105 + (5x – 70) = 180
C) 105 = (5x – 70)
D) 105 +90 = (5x - 70)
Answer:
C) 5x-70=105
Step-by-step explanation:
As marked in the graph, angle 105 and angle (5x-70) equal to each other because they are vertically opposite angles therefore we have equation C)
MATH
NATION
The data from a survey of ages of people taking an exercise class was skewed to the left.
Part C: The box plot represents the data. Calculate the appropriate measure of spread.
Answer choices:
A. IQR= 45
B. IQR= 13
C. Standard deviation = 8
D. Standard deviation=55
Answer:
IQR=13 im pretty sure
Step-by-step explanation:
The measure interquartile range is 13 option (B) IQR= 13 is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have a box plot, and the data from a survey of ages of people taking an exercise class was skewed to the left.
We know on the left side skewed has more data on the right and on the left side, there are fewer data.
From the dot plot, the end point is not given, so we are assuming the end point is 58.
IQR = 58 - 45 = 13
Thus, the measure interquartile range is 13 option (B) IQR= 13 is correct.
Learn more about the box and whisker plot here:
brainly.com/question/3209282
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Solve 2x2 + x − 4 = 0
Answer:
x = 0
Step-by-step explanation:
hi there!
im not sure if the x between the 2's is a x as in a variable or if it is multiplication sign. im going to solve the problem as if it is a multiplication sign but if that is wrong then please let me know!
2 * 2 + x - 4 = 0
is our equation that we are working with ^
first step is, following the pemdas we multiply *2 with its self
( ^ parentheses, exponents, multiplication/ division making sure to solve it left to right, addition and subtraction still making sure to follow the left to right rule )
2 * 2 + x - 4 = 0
2 * 2
= 4 + x - 4 + 0
then we add positive 4 and negative 4 together, canceling eachother out the giving us the answer of x = 0
4 + x - 4 + 0
4 + - 4 = 0
x = 0
i hope this helps you! have a good rest of your day :)
Find the volume of this square pyramid
Answer:
216
Step-by-step explanation:
Answer:
72yd
Step-by-step explanation:
Hope that helps
hsobsnsjns
What is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth
of a cubic foot?
Answer:
If rounded to the nearest tenth of a cubic foot, would be: 927587.2
Step-by-step explanation:
The equation of finding the equation of the volume of a sphere is "4π[tex]\frac{radius^{3} }{3}[/tex]"
If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.
Hope this helps!
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. Find the length of the altitude to the hypotenuse? (Round to the nearest whole number). What is the Altitude ?
Answer:
Altitude of the right triangle is 4 cm.
Step-by-step explanation:
The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.
Sue is 15 years older than Mike. in 5 years mikes’s age will be ½ sue’s age. What is the present age of each?
Show work!!!!
Answer:
5
Step-by-step explanation:
Sue in 5 years would 20, meaning Mike would be 10. Subtract 5 from Mike to get their current age.
Answer:
Mike= 10 years old
Sue= 25 years old
Step-by-step explanation:
Let the present age of Sue be s years old, while that of Mike be m years old.
Present
s= m +15 -----(1)
In 5 years
Sue's age= s +5
Mike's age= m +5
Given that Mike would be ½ of Sue's age in 5 years,
m +5= ½(s +5)
Multiply both sides by 2:
2(m +5)= s +5
Expand:
2m +10= s +5
2m +10 -5= s
s= 2m +5 -----(2)
Substitute (1) into (2):
m +15= 2m +5
2m -m= 15 -5
m= 10
Substitute m= 10 into (1):
s= 10 +15
s= 25
Thus, the present age of Mike is 10 years old and the present age of Sue is 25 years old.
Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans
Can someone help me find and answer an equation to the following math question : Natalie earns 5% commission on all electronics she sells.On Monday she sold a television for $1130 and a DR that cost $325. What was the total she earned in commission?
Answer:
She will make a total commission of $1130+$325=$1445
Then 5% of $1445= $1445×5%=$72,75
490 students and 10 teacher will ride the bus to go to the zoo if each bus can seat so passengers how many buses will be needed many zoo trip
Answer:
If you add teacher plus students which is 490+10=500
you get 500 people in total after that you divide 500 by 50 and you get 10 so you will need 10 busses in total hope this helped!
Step-by-step explanation:
Angle 3 and angle 5 are What Kind Of Angle
A.Corresponding
B.Same Side
C.Alternate interior
Answer:
The answer of this question is C
4x + y = 1
x + y = 2
rewrite these equations in slope intercept form y=mx+b
y=4x+1
y=x+2
Step-by-step explanation:
very simple you just put the numbers in the correct spot when doing slope intercept form
The scatter plot shows the relationship between backpack weight and student weight. Which statement describes the data shown in the scatter plot?
A) A potential outlier at (12, 50).
B) A potential outlier at (50, 12).
C) A cluster between a student weight of 40 kg to 70 kg.
D) A cluster between a backpack weight of 4 kg to 12 k
Answer:
the answer is B on USA Prep
Step-by-step explanation:
"A potential outlier at (50, 12)" is the statement that best describes the data shown in the scatter plot.
What is the line of best fit?A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
Given:
The scatter plot shows the relationship between backpack weight and student weight.
From the given choices:
An outlier is a value that nowhere near the range of the data set.
From the scatter plot:
A potential outlier at (50, 12).
Therefore, a potential outlier at (50, 12).
To learn more about the line of the best fit;
https://brainly.com/question/14279419
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If the number of bacteria in a colony doubles every 46 minutes and there is currently a
population of 150 bacteria, what will the population be 92 minutes from now?
bacteria
Answer: 608
Step-by-step explanation: multiply by 2
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=13°, and OM = 9.6 feet. Find the length of MN to the nearest tenth of a foot.
Answer: the answer is 9.9
Step-by-step explanation:
1%
The positions of towns A, B and C are shown in the scale diagram below.
.B
.
A
Scale: 1 cm represents 10 miles
Ismael's house is the same distance
from town A and town B.
His house is exactly 20 miles from town C.
Use the x tool to show all the possible positions of Ismael's house.
You must show all your construction lines.
[5]
There are no possible positions for Ismael's house.
In this case, we need the following geometrical constructions:
1) Given that Ismael's house has the same distance from towns A and B, we must create a line segment between A and B and perpendicular line passing through the midpoint of line segment AB.
2) Since Ismael's house is 20 miles away from town C, we must create a circle centered at C.
All possible positions of Ismael's house are the set of points where both the perpendicular line and the circle intercepts each other. After making all operations defined above, we conclude that there are no possible positions for Ismael's house.
We kindly invite to check this question on line segments: https://brainly.com/question/23297288
What is the area of a rectangle with side lengths 2/5 feet and 4/6 feet?
Answer:
[tex]\frac{4}{15}[/tex] (4/15)
Step-by-step explanation:
[tex]\frac{4}{6}=\frac{2}{3}[/tex]
[tex]\frac{2}{5}*\frac{2}{3};[/tex]
1- Multiply the numerators:
[tex]2*2=4[/tex]
2- Multiply the denominators:
[tex]5*3=15[/tex]
3- Thus:
[tex]\frac{2}{5}*\frac{2}{3}= \frac{4}{15}[/tex]
Hope this helps ;)
Find the volume of a right circular cone that has a height of 18.5 in and a base with a diameter of 17.5 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Step-by-step explanation:
volume of cone formula: V = 1/3 πr²h
r = 1/2 d
r = 1/2 (17.5)
r = 8.75 in
V = 1/3 (π8.75²)(18.5)
V = 1483.26 in²
1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4
Answer:
-84
Step-by-step explanation:
Since m=-4, we can plug -4 into the expression and use PEMDAS
7(m - 8)
7((-4)-8)
7(-12)
-84
Divide the larger square into 10 equal columns or rectangles. Shade one rectangle. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction.
Answer:
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
Step-by-step explanation:
Given
[tex]Columns = 10[/tex]
[tex]Shaded = 1[/tex]
Required
Part of the whole
This is calculated as:
[tex]Part=\frac{Shaded}{Columns}[/tex]
Substitute [tex]Columns = 10[/tex] and [tex]Shaded = 1[/tex]
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
Calculate the volume
3 apples cost $1.00. How many apples for $2.00
Answer:
6 apples
Step-by-step explanation:
3 apples cost $1.00
so for $2.00, 2x3÷1=6
hope it helps. plz mark me as brainliest.
Answer:
6 apples
Step-by-step explanation:
if three apples are 1 dollar then every time you add a dollar you would get three more apples
so it would look somthing like
1$ = 3 apples
2$= 6 apples
3$= 9 apples
4$= 12 apples
so on
What is the difference between the greatest and least amounts of rain?
Answer:
1 inch
Step-by-step explanation:
hshuehevdjdbevejdj
match the answer to the equation
1: no solution
2: infinitely many solutions
3: one solution
Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.
Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)
Answer:
x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]
Step-by-step explanation:
Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;
2y + x + y = [tex]180^{o}[/tex]
x + 3y = [tex]180^{o}[/tex] ................ 1
Also,
2x + x + 2y = [tex]180^{o}[/tex]
3x + 2y = [tex]180^{o}[/tex] .............. 2
Using the elimination method, multiply equation 1 by 3 and equation 2 by 1
3x + 9y = 540 ............ 3
3x + 2y = [tex]180^{o}[/tex] ............. 4
7y = 360
y = [tex]\frac{360}{7}[/tex]
y = [tex]51.4^{o}[/tex]
substitute the value of y in equation 1,
x + 3y = [tex]180^{o}[/tex]
x + 3(51.4) = [tex]180^{o}[/tex]
x + 154.2 = [tex]180^{o}[/tex]
x = [tex]180^{o}[/tex] - 154.2
x = [tex]25.8^{o}[/tex]
Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]
help with this question pleaseee !!
2 5/6 divided by 3 1/4 please explain .
Answer:
[tex]\frac{34}{39}[/tex]
Step-by-step explanation:
[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]
[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]
So now
[tex]\frac{17}{6} / \frac{13}{4}[/tex]
Flip the second fraction and multiply
[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]
Now reduce the fraction
[tex]\frac{34}{39}[/tex]
I need help math is so ACK anyone know the answer
Answer:
He should have done 8^2 + 15^2= x^2 because the hypotenuse is always the longest side and in Pythagorean theorem C represents the longest side
[tex] {x}^{2} = {(8)}^{2} + {(15)}^{2} [/tex]
[tex] {x}^{2} = 64 + 225[/tex]
[tex] {x}^{2} = 289[/tex]
[tex]x = \sqrt{289} [/tex]
[tex]x = 17[/tex]