Answer:
It could make a triangle, but not any.
Step-by-step explanation:
To find out if a set of three positive points can represent the lengths of the sides of a given triangle, CHECK that each of the three numbers is less than the sum of the other two numbers.
given 4p = 18-5q. Calculate
i) value when q is 2
ii) value when p is 2
Answer:
i). 2 ii). 2
Step-by-step explanation:
i). 4p = 18 - 5(2)
4p = 18 - 10
4p = 8
p = 2
ii). 4(2) = 18 - 5q
8 = 18 - 5q
-10 = - 5q
q = 2
ichi ni san ñya arigato
Zane and his favorite geometry student, , have just set sail for a day of fun on lake Erie. A spring squall quickly forms and catches you off guard, leaving you adrift on the lake. Zane suddenly discovers he has an irrational fear of water and is reduced to hugging the mast. You hear Sherman barking from the top of a lighthouse to help guide you to shore. In order to save Zane and yourself, you must calculate how far away you are from this lighthouse. Using a range finder, you expertly measure the distance from the sailboat to the top of the lighthouse at 350 yards.
angle B is 40 degrees.
(a) Based on the above information, find the distance across the water from the sailboat to the island
where the lighthouse is standing. You can only use trigonometry to solve. You must show all work for
credit. Round your answer to the nearest whole number if needed.
(b)Calculate the height of the lighthouse. You can only use trigonometry or Pythagorean Theorem to
solve.
Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.
_________________________________________________________
According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).
Θ = 40hyoptenuse = 350adjacent = xcosine40 = x/350
[multiply both sides by 350]
350 · cosine40 = x
[put calculator in degree mode]
x ≈ 268 yards
So, the distance across the water from sailboat to the island is 268 yards.
_________________________________________________________
Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).
a^2 + b^2 = c^2
a = ? (opposite or height)b = 268 (adjacent)c = 350 (hypotenuse)a^2 + (268)^2 = (350)^2
a^2 + 71824 = 122500
a^2 = 122500 - 71824
a^2 = 50676
[square both sides]
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]
a = [tex]\sqrt{50676}[/tex]
a ≈ 225
So, the height, opposite, of the lighthouse is 225 yards.
_________________________________________________________
ANSWER: a) 268 yards b) 225 yardsA right circular cylinder has a base radius of 6 centimeters and a height of 12 centimeters. What is the volume of this cylinder? A. B. C. D.
Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]
Step-by-step explanation:
Volume of right circular cylinder = [tex]\pi r^2 h[/tex]
Given: Radius = 6 centimeters
Height = 12 centimeters
Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]
Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]
At [tex]\pi=3.14[/tex]
The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]
pls answer asap no wrong answers pls
Answer:
401.92
Step-by-step explanation:
The formula used the calculate the volume of a cylinder is
πr^2h
π= 3.14
H= 8
r= 4
Volume= 3.14 × 4^2 × 8
= 3.14 × 16×8
= 401.92
Hence the volume is 401.92
HELP NEEDED ASAP HELP ME PLZ
Answer:
3
Step-by-step explanation:
105/7hrs
15/1hr
15/60min
0.25/per minute
0.25*12
= 3
helppppppppppppppppp
Answer:
64 degrees.
Step-by-step explanation:
We are given that angle QRP is 32 degrees.
We are also given that angle PRS is 84 degrees.
Add those two angles to get the measure of angle QRS.
measure of angle QRS= 116 degrees.
Same-side interior angles are supplementary
So,
116+ angle PQR= 180
subtract both sides by 116.
PQR=64
Therefore the measure of angle PQR is 64 degrees.
I hope this helps
Find the surface area of a pringles can that has a radius of 1.6 inches and a height of 9.8 inches. (Find the WHOLE surface area, including the top cover.
Answer:
10.55
Step-by-step explanation:
Suppose you have a bag with 50 letters tiles in it and 9 of the tiles are the letter m. If you pick a letter tule at random from the bag, probability that is the letter m is 9/50
Answer: True- [tex]\dfrac{9}{50}[/tex]
Step-by-step explanation:
Given
There are 50 letter tiles
9 of them is m letter
Favorable outcomes to draw an m letter tile is 9
The total ways to draw a single tile is 50
Probability is the ratio of favorable to the total outcomes
[tex]P=\dfrac{9}{50}[/tex]
So, the given statement is true
what is the slope of a line parallel to the line whose equation is y=2/3x+7 fully simplify your answer
Answer:
2/3
Step-by-step explanation:
When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.
So the slope of the second line is going to be the same as the first line: 2/3
Reggie pays $982.27 each month to rent an apartment. How much will it cost him to rent the apartment for one year?
Answer:
11787.24
Step-by-step explanation: If it costs 982.27 each month, multiply that number times 12 to equal a full year to get your answer.
BER33333 Solving a word problem with two unknowns using a linear...
Devaughn is 8 years older than Sydney. The sum of their ages is 104. What is Sydney's age?
years old
Х
$
?
Answer:
56
Step-by-step explanation:
x+x+8=104
2x=96
x=48
48+8=56
algebraic inverse proportion
y is inversely proportional to x.
When y=30, x=3
Work out y when x=6
Answer: tell me if i am wrong
yx = k, where k is a real constant.
When y = 30, x = 3.
=> k = (30)(3) = 90.
Hence when y = 6, x = k/y = (90)/(6) = 15.
Step-by-step explanation:
A regular octagon is an eight-sided polygon with side lengths that are all equal. All three octagons are scale drawings of each other. Use the chart and the side lengths to compute each scale factor as a percent. How can we check our answers
Answer:
1.) 1.12/10= 1 2/10= 1.2% 10*1.2%=12
2.) 8/10=0.80% 10*0.80=8
3.)10/12=0.83% 12*0.83=10
%*whole
what is the equation that the line goes through (1,-2) and is parallel to y=3x-3?
A. y-1=3(x+2)
B. y+2= -1/3(x-1)
C. y=3x+2
D. y+2=3(x-1)
Answer:
Step-by-step explanation:
Parallel lines have the same slope.
Point-slope equation for line of slope 3 that passes through (1,-2):
y+2 = 3(x-1)
7th grade math help me pleaseee
Step-by-step explanation:
1. -6u= -29-7
-6u÷-6= -36÷-6
u= 6
2. 6m= -23-1
6m÷6= -24÷6
m=-4
3. 4d=37-5
4d÷4=32÷4
d=8
Answer:
4. -6u+7=-29
-6u=-29-7
-6u=-36
-6u=-36
(divide both sides by-6 )
-6u/-6=-36/-6
u=6.
5. 6m+1=-23
6m=-23-1
6m=-24
divide-24 by 6
m=-4
6. 5+4d=37
4d=37-5
4d=32
divide by 4
d=8
help also dont mind karl
Answer:
15/8
Step-by-step explanation:
the mixed answer is 1 7/8
but also the answer is 15/8
what is it m + 5 = 8.9 solve for the
Answer:
3.9
Step-by-step explanation:
m+5=8.9
m=8.9-5
m=3.9
Can some one plz help i really dont wna failll plzzz
LINKS WILL BE REPORTED
find the gradient of a line that is perpendicular to 8y+4x=5
Answer:
gradient = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
8y + 4x = 5 ( subtract 4x from both sides )
8y = - 4x + 5 ( divide the terms by 8 )
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form
with gradient = - [tex]\frac{1}{2}[/tex]
Given a line with gradient m then the gradient of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
2 is the gradient of a line that is perpendicular to 8y+4x=5
What is slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane
The slope of line can also be called ad gradient of a line.
The standard form of line or slope intercept form of a line is given by
y=mx+c
where m is the slope of line and c is the y intercept.
The given equation of line is 8y+4x=5
We need to convert the equation of line to Slope intercept form
8y=5-4x
Divide both sides by 8
y=5/8-4/8x
y=-1/2x+5/8
So m is -1/2.
Two lines are said to be perpendicular if m₁m₂ =-1
if m₁=-1/2
then we need to calculate m₂
-1/2m₂=-1
m₂=2
Hence gradient of a line that is perpendicular to 8y+4x=5 is 2.
To learn more on slope of line click:
https://brainly.com/question/14511992
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It is 2.3 from Debra's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.
A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect
Answer:
The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect.
Step-by-step explanation:
Took the "quiz"
(Please mark Brainliest)
To get the paint color moss green, 2 parts
violet paint is mixed with 3 parts yellow
paint. How many parts yellow paint
should be mixed with 5 parts violet
paint to make moss green paint?
During her ride home from school, Dana sees 15 cars driven by men and
34 cars driven by women. What is the experimental probability that the
next car Dana sees will be driven by a man?
Answer: 30%
Step-by-step explanation:
Deborah surveyed customers in a restaurant to find out their favorite meal. The results of the survey are shown in the able ? One person in the restaurant will be picked at random. Based on the given in information, which statement is true ?
Answer:
I got you homie! B-)
This person’s favorite meal is twice as likely to be hamburger and French fries as it is to be spaghetti.
Step-by-step explanation:
The other person answered with something unhelpful at all
Write an equation for esch line in Slope Intercept Form
Answer:
Step-by-step explanation:
Y intercept is at (0,1) so b=1
slope is go 4 down 1 right so slope is -4
Equation is
-4x+1=y
Please help me answer this question
Answer:
254.34 ft^2
Step-by-step explanation:
The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer
Answer:
254.34 ft
Step-by-step explanation:
radius (9)
multiply it by itself (9x9)
so then you get 81
then the two radius squared (81) is multiplied by pi (3.14)
please help. will give brainliest (100 points)
Assuming the point A has coordinates (2,3) and the center of dilation is the origin.
Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)
Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A
′
(8,12)
In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)
please mark me as brainliest
help pleaaseee rons of points and brainliest just need help.
Since both equations equal y they need to equal each other.
2x - 5 = -3x + 10
Add 3x to both sides:
5x -5 = 10
Add 5 to both sides
5x = 15
Divide both sides by 5
X = 3
Now solve for y by replacing x with 3:
Y = 2(3)-5 = 6-5 = 1
Y = -3(3)+ 10 = -9+ 10 = 1
Check: replace y with 1 and solve for x:
1 = 2x -5
Add 5 to both sides
6 = 2x
Divide both sides by 2
X = 3 ( True)
how do you get 0.1 x 2.4
Answer:
the answer is .24
Step-by-step explanation:
when you multiply 0.1 x 2.4 it equals out to .24
0.1 x 2.4= .24