The slope ratio for a line that makes an angle of 30 with the positive direction of the x-axis is 1:√3
The slope of a line is nothing but the change of the line in the y-coordinate concerning the change in the x-axis. So the slope is simply nothing but a ratio of change in the y-axis to change in the x-axis which is also called slope ratio.
m = change in y / change in x
tan 30= 1/√3 = change in y / change in x
tan 30= 1: √3
So the ratio of an angle of 30-degree slope will be 1:√3
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PLEASE Answer asap!!!!
Answer:
x=0
Step-by-step explanation:
The axis of symmetry: [tex]x=\frac{-b}{2a}[/tex] when the equation is [tex]y=ax^2+bx+c[/tex]
The given equation is:
[tex]y=x^2-6[/tex]
To make the a and b values more easily identifiable, we can rewrite it like this:
[tex]y=1x^2+0-6[/tex]
Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :
[tex]x=\frac{-(0)}{2(1)}\\x=0[/tex]
Therefore, the equation for the axis of symmetry for the parabola is x=0.
I hope this helps!
Express the number 4.6 x 108 in standard form
Answer:
496.8
Step-by-step explanation:
because there is o value
What is the reference angle of 255°?
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
One factor of f(x)=5x3-5x2-170x+280is(x+7). What are all the roots of the function? Use the Remainder Theorem.
Answer:
Roots of the f(x) is -7 , 4 and 2.
Step-by-step explanation:
Give that
5x^3-5x^2-170x+280 is (x+7)
One factor of f(x) = x + 7
So,
One root , x = -7
First we determine All factors of the given f(x).
Now divide f(x) by given factor the results are given below:
f(x) = ( x + 7 ) ( 5x² - 30x + 40 )
= ( x + 7 ) ( 5x² - 20x - 10x + 40 )
= ( x + 7 ) ( 5x( x - 4 ) - 10( x - 40 ) )
= ( x + 7 ) ( x - 4 ) ( 5x - 10 )
Now
Place x = -7 in the given function,
f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280 = -1715 + 245 + 1190 + 280 = 0
So, First root is -7
Now, Place x = 4
f(4) = 5(4)³ + 5(4)² - 170(4) + 280 = 320 + 80 - 680 + 280 = 0
So, Second root is 4
ANd, place x = 10/5 = 2
f(2) = 5(2)³ + 5(2)² - 170(2) + 280 = 40 + 20 - 340 + 280 = 0
So, Third root is 2
Therefore, Roots of the f(x) is -7 , 4 and 2.
Alex spent $126.42 on new school clothes and supplies. If $86.23 of that was spent on supplies, what percent of what she spent on supplies?
Answer:
68%
Step-by-step explanation:
To find the percentage we are going to put the amount she spent on supplies over the total amount she spent and multiply it by 100.
= 86.23 ÷ 126.42 × 100
= 68.2% or 68%
How can you evaluate 2 to the power of 0
Answer:
How about this: There's always an implicit 1 in the expansion:
23=2⋅2⋅2⋅1=8
22=2⋅2⋅1=4
21=2⋅1=2
20=1=1
BRAINLY TO WHOEVER CAN HELP- ALSO IF YOU GIVE VIA FILESHARE PLS JUST GIVE ME A VERY BREIF SUMMARY CAUSE I CANT OPEN IT
Answer:
A':2,4
B'4,4
C'2,4
D'2,1.5
Step-by-step explanation:
Just half all the points so in the case of A the original point is 4,8. Dialating by 1/2 is splitting it in half so the new point would be A' 2,4
Solve the inequality x + 1 > 5. Then graph the solutions.
write a numerical expression Add 91, 129, and 16, and then divide
by 44. hurry i need help
Answer:
Step-by-step explanation:
5.364
What is equivalent to 9?
A:2^3
B:3^-2
C:2^-3
D:3^2
What is a dot plot ?
Answer:
A graphical display of data using dots.
Step-by-step explanation:
M
N
Which statement is true about ZJXM and 2NXP?
O ZJXM and 2NXP are complementary
O ZJXM and XNXP are vertical.
O ZJXM and 2NXP are supplementary
O ZJXM and XNXP are adjacent
i
Answer:
Im late but i was doing the assignment and got A
Step-by-step explanation:
Option A is correct, ∠JXM and ∠NXP are complementary is the true statement.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN
It is shown that ∠MXN is a right angle i.e. 90°.
Then, sum of angle on this line is 180°.
∠JXM + ∠NXP + ∠MXN = 180°
∠JXM + ∠NXP + 90° = 180°
∠JXM + ∠NXP = 180° — 90°
∠JXM + ∠NXP = 90°
From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).
Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary
Hence, ∠JXM and ∠NXP are complementary is the true statement.
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1.
The table below shows the favorite fruits of the 6th graders in Alyssa’s school.
What is the mode of this data set?
https://scope.schoolobjects.com/eduphoria_webcontrols/tests/TestImage.aspx?bnk=cscope&aid=79a723b3-8302-4a87-94fa-3a7a8ae740ee&mode=edit
Answer:
screenshot the data set instead of giving a link then i will be able to help.
Step-by-step explanation:
Given the exponential decay function
y = 39, 752 * (0.925) ^ t which represents the population of a town after t years, what is the rate of decay written as a percentage?
A. 0.073
B. 0.925
C. 7.5
D. 92.5
Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 inches long and 5 inches wide, how long is the diagonal cut that Dana made? If necessary, round to the nearest tenth.
Answer:
9.4 inches
Step-by-step explanation:
The triangle formed is aright angled triangle with the right angle between the length and width of the paper cut hence the diagonal represents the hypotenuse side.
Recall that Pythagoras theorem states that
a^2 + b^2 = c^2 where c is the hypotenuse side and a, b are the opposite and adjacent sides
Hence
8^2 + 5^2 = c^2
c^2 = 64 + 25
= 89
Finding the roots of both sides
c = 9.433981132
To the nearest tenth
c = 9.4 inches
Find the measure of the exterior <1.
A. 35°
B. 95°
C. 85
D. 120°
Answer: the answer is c for me I took the test
Step-by-step explanation:
Took the test
The first group had 4 people and shared 3 candy bars equally. The second group had 5 people and shared 4 candy bars equally. The third group had 8 people and shared 7 candy bars equally. The fourth group had 5 people and shared 3 candy bars equally.
Answer:
what r u asking
Step-by-step explanation:
Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for their pizza. The following table shows the options available to customers.
How many different pizza combinations are there?
what are the values of a, b, and c in the quadratic equation -2x² + 4x - 3 =0?
Answer:
x=1
Step-by-step explanation:
I believe that's the answer sorry if I'm wrong
I NEED HELP IM STUCK!!!!!
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of a right triangle with the length of leg a 5 inches.
A) 10 inches
B) 2√5 inches
C) 5√2 inches
D) 25 inches
Answer:
C) 5√2
Step-by-step explanation:
help will mark brainliest, 100 points
Answer:
Slope: − 4
y-intercept: ( 0 , 0 )
x y 0/ 0
1 /− 4
Step-by-step explanation:
Give brainliest :)
Answer:
Slope: − 4
y-intercept: ( 0 , 0 )
x y 0/ 0
1 /− 4
Step-by-step explanation:
Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.
Answer:
We have the inequality:
-46 < -34
This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.
An example to see this is suppose that these numbers represent money.
Because the numbers are negative, then these represent money you owe.
-46 means that you owe $46
-34 means that you owe $34
Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.
Another example is if these numbers represent distance under the surface of the water.
-46 means that you are 46 ft under the surface of the water
-34 means that you are 34 ft under the surface of the water.
Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.
Chelsea is covering the outside of an old toy box with decorative paper. The box measures 6 inches by 14 inches by 3 inches.
How many square inches of paper is needed to cover the box?
Answer:
She will be needing 300 square inches of paper
length=14inches
breadth=3inches
height=6inches
TSA= 2(lb+lh+bh)
=2(14×3+14×6+3×6)
=2(42+84+24)
=2×150
=300 square inches
Answer:
69,420
Step-by-step explanation:
69,420 sq ft of decorative paper
MARKED BRAINLIEST!!!
Answer:
(3,-4)
Step-by-step explanation:
Sorry if it is wrong
The New Horizons satellite is currently travelling at a speed of 35,000 mph (miles per hour). How many miles
can it travel in one day?
WILL VOTE BRAINLIEST, 50 POINTS
Answer:
-1
Step-by-step explanation:
[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]
in shop a crunchy peanut butter costs $325 for 250g
in shop b crunchy peanut butter costs $408 for 340g
which shop gives better value for money. explain your answer
Answer:
shop b
Step-by-step explanation:
We can find for example how much 100 grams of peanut butter cost in each shop using a proportion
shop A 100 : 250 = x : 325
x = (325 * 100) / 250 = $130
shop B 100 : 340 = x : 408
x = (408 * 100)/ 340 = $120
We discovered that shop B is cheaper
How many ways can you write a ratio?
Group of answer choices
Answer:
A ratio can be written in three different ways: with the word “to”: 3 to 4. as a fraction: . with a colon: 3 : 4.
Step-by-step explanation:
A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.
Answer:
5 miles
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length = 4
b = base= 3
c = hypotenuse
4² + 3²
16 + 9 = 25
√25 = 5
A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal
Given:
The length of the football field = 360 feet
The length of the titanic = 883 feet
To find:
About how many football fields long was the titanic?
Solution:
We have,
Length of the football field = 360 feet
Length of the titanic = 883 feet
Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.
[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]
[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]
[tex]\text{Number of required football fields}=2.452777...[/tex]
[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]
[tex]\text{Number of required football fields}\approx 2[/tex]
Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].