What is 100 to the 3rd power
The circumference of a circle is 59.032 centimeters. What is the circle's radius?
Answer:
9.4
Step-by-step explanation:
I used r=C/2π as the formula
Counselors at Rockport High School and Riverdale High School surveyed the graduating seniors to find out their post-high-school plans. Each student plans to attend college, attend technical school, join the military, or go right into the workforce. The results of the survey are shown in the table.
The percentage shows that they were 28% more likely to come from Riverdale High school.
How to calculate the percentage?From the information given, the percentage of those from Rockport will be:
= 25/(25 + 44) × 100.
= 25/69 × 100
= 36.23%
The percentage of those from Riverdale will be:
= 44/(25 + 44) × 100.
= 44/69 × 100
= 63.77%
Therefore, the difference will be:
= 63.77% - 36.23%
= 28% approximately.
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What is the value of x?
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
x = 30°
Step-by-step explanation:
As the angle of 85° measure and the angle of (3x-5)° are vertical opposite angles, the measure of both the angles will be equal so...
(3x-5)° = 85°
3x = 85 + 5
3x = 90
x = 90/3
x = 30
So x is 30°
Let's recheck.
3x-5
(3 × 30) - 5
90 - 5
85°
Hence, the value of x = 30°
five the equation of line that is perpendicular to f(x)=-2x+1 that goes through point (0,5)
Answer:
y = [tex]\frac{1}{2}[/tex] x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(x) = - 2x + 1 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = [tex]\frac{1}{2}[/tex] x + 5 ← equation of perpendicular line
how do you get from 24 to a hundred
Write a polynomial that represents the area of the figure below:
Answer:
2x²+2x+5
Step-by-step explanation:
Since the area of a square is a² (where a is the length of one of its sides) we'll have:
(x—1)(x—1)+(x+2)(x+2) = (x²—2x+1)+(x²+4x+4) = 2x²+2x+5
So write the answer as: 2, 2 and 5
18. What is an equation of the line that passes through the point (3, -1) and is perpendicular to the equation
y = -3x + 2?
A. y = -3x + 8
B. y = -3x
C. y = 1/3x
D. y = 1/3x - 2
CAN SOMEONE PLEASE SHOW ME HOW TO SLOVE THIS
Answer:
It’s D
Step-by-step explanation:
Answer:
D. y = 1/3x - 2Step-by-step explanation:
It mentions the new line is perpendicular to the original line.
New slope = -(1/-3) = 1/3It also mentions it passes through the point (3, -1).
Using point-slope form of equation,
y + 1 = 1/3(x - 3)y + 1 = 1/3x - 1y = 1/3x - 2can someone help me please
Answer: area
Step-by-step explanation:
Area is solved with L * W
Volume is solved with L * W * H
Using these formulas we can see that area uses 2-dimensions, the length and the width, while volume uses 3.
Answer:
Area.
Step-by-step explanation:
2 dimentional spaces have only area, and no volume. Volume describes the amount of space within the container
Will mark brainlyest: What characteristic of the general quadratic equation below determines whether the corresponding graph has a vertical stretch? y = a(x - h)^2 + k
A: If k is positive
B: If " a " is less than zero
C: If k is negative
D: If :" a " is greater than 1
Answer:
D
Step-by-step explanation:
First of all, "k" has nothing to do with determining vertical shrink/stretch, and therefore A and C can be eliminated from the choices. A shrink occurs with a fractional "a" value, so "a" must be greater than 1 in order for a vertical stretch to occur.
Which term of the AP 2,8,14,20..... Will be 210 more than it's 60th term?
Answer:
95th term
Step-by-step explanation:
the nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = a₂ - a₁ = 8 - 2 = 6 , then
[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4
the 60th term is then
a₆₀ = 6(60) - 4 = 360 - 4 = 356
so 210 more than a₆₀ = 356 + 210 = 566
now equate [tex]a_{n}[/tex] to 566 and solve for n
6n - 4 = 566 ( add 4 to both sides )
6n = 570 ( divide both sides by 6 )
n = 95
Answer:
95th term.
Step-by-step explanation:
The sequence of 2, 8, 14, 20 . . . can be predicted by adding 6 to each successive term. This can be written as 6n+2, where n starts at 0 for the first term.
n Value (6n+2)
0 2
1 8
2 14
3 20
4 26
60 362
---
We want to know what term is 210 more than 362. (362+ 210) = 572
We can solve by using the equation in reverse and solving for n:
(6n+2) = 572
6n = 570
n = 95
The 95th term (572) is greater than the 60th term (362) by 210.
Consider the triangle
What is the value for x?
yº
25°
90°
What is the value for y?
--
please hurry!
add the degrees 90 and 25 which gives 115° and subtract to give 65°
I am subtracting by 180 because angle on a straight line is 180 hope this helps
Answer: y is 155⁰ X is 65⁰
Step-by-step explanation: y = 180⁰ - 25⁰
X = 180⁰ - (90 + 25) = 180 - 115= 65
Straight line triangle is 180
Total angle in a triangle 180
I need help asap T>T
Answer:
3.4 yards cubed
Step-by-step explanation:
Volume is length x width x height
Length 2 4/5, Width 2, Height 3/5 so 2 4/5 x 2 x 3/5
It looks like they want the answer in decimal form, so you can convert the fractions into decimals.
For the length 2 4/5, you divide the 4 by 5 to get a decimal of .8 so now it's 2.8
For the height of 3/5, you divide the 3/5 & get .6
Now it's 2.8 x 2 x .6 = 3.36 yards cubed which could get rounded up to 3.4 yards cubed
Pls help! Due soon offering 15 pointss! :)
Answer:
E.
Step-by-step explanation:
Answer: (-12, -14), (-7, -4), (-1, 5), (0, -2), (3, 3), and (30, 5).
Step-by-step explanation: The following image should help you with your question if you're still confused.
Hope this helps! :)
58°
47°
Find the value of x
Step-by-step explanation:
The question is not complete or correct
A golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.
How to compute the distance?From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The distance will be:
= 160 × cos30°
=160 × 0.866
= 138.56 feet
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s - 19 = 2 PLEASE HELP
Answer:
S = 21
Step-by-step explanation:
21 - 19 = 2
Answer:
S=21
Step-by-step explanation: 21-19=2
a car uses 9 gallons of gasoline to go 162 miles. how many gallons of gasoline will the same car use to travel 216 miles?
Answer:
[tex]12\ gallons[/tex]
Step-by-step explanation:
Step 1: Determine the unit rate
[tex]Miles / Gallons[/tex]
[tex]162\ miles / 9\ gallons[/tex]
[tex]18\ miles/gallon[/tex]
Step 2: Determine the amount of gasoline used for 216 miles
[tex]216\ miles * (gallon / 18\ miles)[/tex]
[tex]12\ gallons[/tex]
Answer: [tex]12\ gallons[/tex]
Answer:
12
Step-by-step explanation:
1. Figure out how many miles the car can go with one gallon of gasolline
162 ÷ 9 = 18
1 gallon = 18 miles
2. Figure out how many times 18 can go into 216
216 ÷ 18 = 12
12 gallons = 216 miles
*We do this because we know that every time the car drives 18 miles its uses another gallon of gas.
The car will use 12 gallons of gasoline to travel 216 miles.
please help me 50 points
angle 3 = angle 6 = 60°
hope it helps...!!!
Answer:
m∠3 = 60°
m∠6 = 60°
Step-by-step explanation:
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent. This is called the "Alternate Interior Angles Theorem".
As line p intersects the set of parallel lines m and n at two distinct points, then m∠3 = m∠6 and m∠4 = m∠5
Given:
m∠3 = (7x - 10)°m∠6 = (5x + 10)°As m∠3 = m∠6, then:
⇒ 7x - 10 = 5x + 10
Add 10 to both sides:
⇒ 7x - 10 + 10 = 5x + 10 + 10
⇒ 7x = 5x + 20
Subtract 5x from both sides:
⇒ 7x - 5x = 5x + 20 - 5x
⇒ 2x = 20
Divide both sides by 2:
⇒ 2x ÷ 2 = 20 ÷ 2
⇒ x = 10
Now substitute the found value of x into one of the angle expressions:
m∠3 = 7(10) - 10
= 70 - 10
= 60°
As m∠3 = m∠6, then m∠6 = 60°
Please help!! Will mark brainlyest.
Answer
B
Step-by-step explanation
Please give me brainlist.
I need help with trigonometry hw
Answer
See in pic
Step-by-step explanation:
If carol travels 4 miles and her car averages 28 miles per hour, how long will it take carol to complete the distance? Express this situation in an equation, making t the variable of time
Answer: t= Distance/Speed = 4/28= 1/7
Step-by-step explanation:
Speed is 28miles /hr
Distance = 4miles
Distance = Speed × time
Time(t) = Distance /Speed
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Cross out the numbers below that are NOT equivalent to 500.0.
500.00 5 × 10 5 × 102 50.05 500.500
Answer:
500.00 equal
5 × 10 not equal
5 × 10² equal
50.05 not equal
500.500 not equal
Sammy plans to build a kite He has two rods of lengths 4 feet and 3 feet Find the area of the material he will need to cover the kite A: 7 ft2
B: 3 ft2
C: 6 ft2
D: 12 ft2
a tax that is collected by a company based on sales of products or services
solve the following system of equations.
y=x+4
2x+y=13
Answer:
(3,7)
Step-by-step explanation:
First, substitute for y. Simplify.
2x+(x+4)=13
3x+4=13
3x=9
x=3
Input the value for x into either of the equations.
y=3+4
y=7
(3,7)
Hope this helps!
Can someone please give me the (Answers) to this? ... please ...
I need help….
Step-by-step explanation:
1.
that creates a right-angled triangle :
the string is the Hypotenuse (the baseline, which is the side opposite of the 90° angle).
the invisible "line" from the kite straight down to the ground is one leg. and we need that length.
and the invisible "line" on the ground between the point where Brian is standing, and the point, where the : line: coming down from the kite hits the ground, is the second leg.
the angle between both legs is 90°.
so, we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the associated angles are always opposite of each other.
in our case, the Hypotenuse (the string) is opposite of 90°.
and the angle opposite of the kite height line is the designated angle of elevation at the point, where Brian is standing : 70°.
so, we have here
65/sin(90) = height/sin(70)
height = 65×sin(70)/sin(90)
sin(90) = 1
height = 65×sin(70) = 61.08002035... m
2.
another right-angled triangle.
what is not clear to me : what does "distance from plane to building" mean ?
is it really the line of sight from the plane in the air to the building in the ground ? which is the Hypotenuse of that triangle.
or is it the ground distance (from the point where the height line hits the ground to the building) ? which is also the air distance (parallel line to the ground distance up in the air with the plane).
remember, the sum of all angles in a triangle is always 180°.
per law of sine we have
height/ sin(28) = line of sight / sin(90) =
= air (or ground) distance / sin(180-28-90)
1200/sin(28) = line of sight / 1 =
= air distance / sin(62)
line of sight (if that is what we need) =
= 1200/sin(28) = 2,556.065362... m
air distance = 1200×sin(62)/sin(28) = 2,256.871758... m
3.
another right-angled triangle.
the Hypotenuse is the line of sight from the point 12 ft away in the ground to the top of the pole.
the ground distance (12 ft) is one leg.
the pole (and its height) is the second leg.
so, we have our law of sine
height/sin(53) = line of sight / sin(90) =
= ground distance / sin(180-53-90)
we need the height, so
height/sin(53) = ground distance / sin(37)
height = 12×sin(53)/sin(37) = 15.92453786... ft
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
Slope is rise over run.
Pick a point and count how many steps up and how many steps to the right you need to make to get to the next point. That's how you find slope.
Hello people ~
factorise : 5x²+16x+3
Done!
Answer:
Step-by-step explanation:
Remark
If the trinomial is going to factor, it must factor as 5 and 1 paired with 3 and 1 as both 5 and 3 do not factor any further. They are prime numbers.
Let's try this:
(5x + 1) ( 1x + 3)
Both factors must contain an + otherwise something in the given equation would be - when the factors are expanded.
It looks like this works. 5 * 3x + 1x = 16x