Answer:
y = 10
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition x = 4 when y = 15 , then
15 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
60 = k
y = [tex]\frac{60}{x}[/tex] ← equation of variation
When x = 6 , then
y = [tex]\frac{60}{6}[/tex] = 10
Solve for x please help me
Answer:
4
Step-by-step explanation:
By intersecting chords theorem:
[tex]12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4[/tex]
1 of 6
Given that a = 3.5 cm and b = 9.4 cm, work out the perimeter of the triangle.
Give your answer rounded to 1 DP.
a
b
The diagram is not drawn accurately.
Answer: 23 cm
Step-by-step explanation:
Given
[tex]a=3.5\ cm\\b=9.4\ cm[/tex]
Triangle in the figure is right-angled triangle. Therefore, Pythagoras theorem can be applied. Suppose the unknow length of the triangle is x
[tex]\Rightarrow x^2=a^2+b^2\\\Rightarrow x^2=3.5^2+9.4^2\\\Rightarrow x^2=12.25+88.36\\\Rightarrow x^2=100.61\\\Rightarrow x=10.03\ cm[/tex]
The perimeter of triangle is the sum of the lengths of sides.
[tex]\text{Perimeter }P=3.5+9.4+10.03\\\Rightarrow P=22.93\ cm\approx 23\ cm[/tex]
Are the following figures similar?
Answer:
well the shape is same but the measurements are different
Step-by-step explanation:
1 cm - 125 miles
3. The distance between Point
A and Point B on a printed
map of Texas is 3.3 cm. Use
the map key to find the
actual distance in miles
between Point A and Point B.
3.3 cm
Record your answer and fill in
the bubbles below. Be sure to
use the correct place value.
Answer:
412.5
Step-by-step explanation:
If 1cm = 125 miles, then 3.3cm = 412.5
Fill in the missing values.
Whici expression could be used to represent 2/3
Answer:epression could be used to represent 2/3
1/2
1/3
1/3
One year, the population of a city was 397,000. Several years later it was 412,880.
Find the percent increase.
The percentage increase from the initial population of 397,000 to 412,880 is 4%
How to determine the percentage increase?From the question, we have the following numbers:
397,000 and 412,880.
The numbers are increments from 397,000 to 412,880.
The percentage increase is calculated as:
%Percentage = (Old number - New number)/Old Number
Substitute the numbers in the above equation
%Percentage = (412880 - 397000)/397000
Evaluate the difference
%Percentage = 15880/397000
Evaluate the quotient
%Percentage = 0.04
Express 0.04 as percentage
%Percentage = 4%
Hence, the percentage increase from the initial population of 397,000 to 412,880 is 4%
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Refer to the isosceles trapezoid shown. Find x
Answer:
Hey, read below!! :)
Step-by-step explanation:
Both sides are the same length. X = 70
Solve the quadratic equation below: 4x^2 -100=0
Answer:
solution given:
4x^2 -100=0
4x²=10²
(2x)²=10²so
2x=±10
x=±10/2
so
x=5
or x=-5
Answer:
The answer is x=-5
Step-by-step explanation:
Choose the inequality that represents the following graph.
The expression 4x/5 - 2x/3 is equivalent to
a. x/2
b. x/5
c. x/15
d. 2x/15
Answer:
answer is d
Step-by-step explanation:
hope it helps!!!
Shaughn has 36 bottles of soda.
Each bottle holds 20 ounces of soda.
Shaughn will use 15-ounce paper cups to serve the soda.
How many paper cups will he need to hold
PLEASE ANSWER THIS! BYE
Answer:
48 cups will be needed thank you
What point lies in quadrant III
Answer:
(-3,-5)
Step-by-step explanation:
Quadrant III is on the bottom left corner.
no one ever answers my questions but please I'm begging you to please help me I'm giving away so many points please
Answer:
I think 3.
Step-by-step explanation:
You make a right triangle, an isosceles, and a scalene. You can't make an equilateral, because those sidelengths are not the same size.
Answer:
Step-by-step explanation:
make the other half of the triangle on top one and then you make another triangle out of the bottom one and make the other half so you just want to put a line from one line on the right side to the bottom line so then you just need do the same thing on the left side
What shape is this???
Answer:
It is a quadrilateral! Note the four sides, angles, and vertices.
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP MEE!!!!!!!!!!!!!!!!
ALL LINKS WILL BE REPORTED!!!!
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC?
Answer options:
A) To the right five units, down three units.
B) To the right five units, up three units.
C) To the left five units, down three units.
D) To the left five units, up three units.
Answer:
It is C
Step-by-step explanation:
Confoosed bab here please help ☹️
Answer: it should be 565.5
Step-by-step explanation:
Answer: the volume would be 565.49 rounded 565.5
Step-by-step explanation:
trust i plugged it into a cylinder calculator
36/9+2/9 fraction adding!!!
Answer: 38/9
Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).
The equation of the line that goes through the points ( − 3 , − 9 ) and ( − 6 , − 3 ) can be written in the form y = m x + b
Answer:
[tex]y=-2x-15[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex].
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] which is the difference between the y-coordinates divided by the difference between the x-coordinates.
So: [tex]\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2[/tex]. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant [tex]b[/tex].
[tex]-9=-2(-3)+b[/tex]
[tex]b=-15[/tex] - Re-arranging to get b
Now re-write the equation as we have the constants.
[tex]y=-2x-15[/tex]
Find the perimeter. Simplify your answer.
Answer:
The third one, 2c - 6
Step-by-step explanation:
Please someone help
Answer:
314.2
Step-by-step explanation:
Circumference of a circle is π[tex]r{2}[/tex]
so 3.142 × [tex]10{2}[/tex]=314.2
Answer:
circumference of the circle=2πr
=2×3.142×10
=62.84 cm
??????????????????????
Answer:
Sorry, I don't speak confusion.
Step-by-step explanation:
What conclusion can you draw about angles of elevation for parasailing boats traveling at the same speed?
Question:
A boat is travelling at 30 mph has a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.
a) Draw a labelled diagram of the situation
b) Determine the angle of elevation of the parasail rider
c) Parasailing boats traveling at the same speed will have the same angle of elevation
Answer:
a) Please find the attached drawing of the parasail boat created with MS Visio
b) The angle of elevation of the parasail rider from the boat is approximately 48.6°
Step-by-step explanation:
a) Please find the labelled diagram of the parasailing boat created with MS Visio
b) sing trigonometric ratios, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
The opposite leg = The height of the parasail rider above water = 300 ft.
The hypotenuse = the length of the tow line = 400 ft.
θ = The angle of elevation of the parasail rider
[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]
θ = Arctan(0.75) ≈ 48.6°
The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°
c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,
Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same
The freezing point of neon is about -249c . The freezing point of chorine is about 148c higher. What is the approximate freezing point of chlorine?
Answer:
-101 c.
Step-by-step explanation:
-249 + 148
= -(249 - 148)
= -101 C.
The approximate freezing point of chlorine is -101°C.
We have,
The freezing point of neon is about -249c .
The freezing point of chorine is about 148c higher.
To find the approximate freezing point of chlorine, we add 148°C to the freezing point of neon:
= -249°C + 148°C
= -101°C
Therefore, the approximate freezing point of chlorine is -101°C.
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John claims that Point X = – 4, and Point Y = 2. Which of the following statements provide support for John's claim? Select three that apply. X < Y because X is left of Y X > Y because X is left of Y X < 0 because X is left of zero Y < 0 because Y is right of zero X > 0 because X is left of zero Y > 0 because Y is right of zero
Answer: X<Y, X>0
Because -4 is less than 0 and -4 is greater than 0
What is the volume of this rectangular prism?
Answer:
20
Step-by-step explanation:
volume: lwh
.666*5*6=20
Answer:
20 cm³
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] · 6 · 5
[tex]\frac{2}{3}[/tex] · 30
20 cm³
simplify the expression (4x^9 y^3) (-5x^6) (-3y^2)
Answer:
60x^15y^5
Step-by-step explanation:
60x to the power of 15 times y to the power of 5
Hope this helps!
Which exponential expressions are equivalent to the one below? Check all that apply.
Answer: The answer is B,C, and D
Step-by-step explanation:
Guided Practice
Carlos believes that the grade he receives on his math test is directly related to the amount of hours he spends studying. The equation y=12x+50y equals 12 x plus 50 represents the percentage grade he thinks he will earn, where y is the percentage grade and x is the number of hours that he spends studying. What does the y-intercept in his equation represent?
A.
For each hour Carlos spends studying, his grade will improve by 12%.
B.
Carlos will spend 50 hours studying for his math test.
C.
If Carlos doesn’t study at all, his grade will be 50%.
Answer:
C.
If Carlos doesn’t study at all, his grade will be 50%.
Step-by-step explanation:
If Carlos doesn’t study at all, his grade will be 50%.
Check Answer
Correct. If Carlos spends 0 hours studying, his grade will be 50%.
i need help pls i dont understand this
Answer:
D
Step-by-step explanation:
It catches fire at or above. so greater than or equal to. so D