Answer:
n+2 is the next even number as n is an even number so adding 2 will make it an even number again.
In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.
Answer:
angle E is 15 dgeree
Step-by-step explanation:
hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.
take angle E as reference angle .Then,
opposite=DF = 23 feet
hypotenuse=DE = 90 feet
using sin rule
sin E =opposite/hypotenuse
sin E=23/90
sin E=0.255
E = [tex]sin^{-1} (0.255)[/tex]
E=14.77
E=15 degree
Solve for B
A= 3( B + C )
Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3
Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work.
Answer:
The ratio of AC : CB is 2 : 3
Step-by-step explanation:
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
Using distance formula, it is found that the ratio of AC : CB is 2 : 3
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
AC = √[(2.6 -1)² + (1.8 - 1)²]
AC = √[(1.6 )² + (0.8)²]
AC = 2√(0.8)
Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]
CB = 3√(0.8)
Therefore, the ratio of AC : CB is 2 : 3
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A tube of toothpaste holds 75 ml.
How many tubes can be filled using 3 litres of toothpaste?
Pls help
Answer:
40 tubes
Step-by-step explanation:
1 liter = 1,000 milliliters
2 liters = 2,000 milliliters
3 liters = 3,000 milliliters
A tube of toothpaste = 75 ml
How many tubes can be filled using 3 litres of toothpaste?
Let
x = number of tubes
x tubes of toothpaste = 3000 ml
x = 3000 ml / 75 ml
x = 40
x = number of tubes = 40 tubes
6;10;14
find the next two terms of the sequence
Answer:
18
Step-by-step explanation:
Add 4
Answer: 18;22
Step-by-step explanation:
Let's start by finding the common difference.
10-6=4
14-10=4
The common difference is 4 meaning to get to the next numbers we must add 4.
6+4=10
10+4=14
14+4=18
18+4=22
Here is a table of values for y=f(x). Mark the statements that are true.
A. The domain for f(x) is the set {5,6,7,8,9,10,11,12,13}.
B. The range for f(x) is all real numbers.
C. f(5)=6
D. f(15)=8
Answer:
C
Step-by-step explanation:
Bc
Answer:
C and D
Step-by-step explanation:
Find the equation of the line that is parallel to the line
y = 3x + 3 and passes through the point (10,1). Write the
equation in slope-intercept form.
9514 1404 393
Answer:
y = 3x -29
Step-by-step explanation:
The parallel line will have the same slope: 3. The y-intercept can be found from ...
b = y -mx
b = 1 -(3)(10) = 1 -30 = -29
Then the slope-intercept equation is ...
y = 3x -29
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
Answer:
There are 24 outcomes in the sample space.
Step-by-step explanation:
Suppose that we have some events, such that each one of these events has a given number of outcomes.
If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.
Let's apply this to our case.
Here we have two events:
Rolling a standard number cube: 6 outcomes
Spinning a spinner with 4 equal sections: there are 4 outcomes.
Then the total number of outcomes in the sample space is the product:
C = 6*4 = 24 outcomes.
There are 24 outcomes in the sample space.
Find the side length of x (trigonometry)
Answer:
x=12.124
Step-by-step explanation:
here 7 and x are the legs of the triangle where as 14 is hypotenuse because it is opposite opposite to 90 degree.
using pythagoras theorem
a^2 + b^2 = c^2
here and b are legs and c is hypotenuse
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 =196-49
x^2 =147
x=[tex]\sqrt{147}[/tex]
x=12.1243
x=12.124 (after converting to the nearest hundredth)
Express as decimal: Five hundred thirty four point two thousandths
Answer:
534.002
Step-by-step explanation:
in the d decimal thing it goes point tenths, hundredths, then thousandths if that makes since
Answer:
534.002
Step-by-step explanation:
I think
No links pls. I also need an explanation.
What is the product?
(4y − 3)(2y2 + 3y − 5)
Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answer:
a) The equation for the situation = 14.50 = 4.5 + 1.25n
b) The number of oranges she bought = 8 oranges
Step-by-step explanation:
Where n represents the number of oranges.
The equation is written as
Total charge = $0.75 × 6 + $1.25 × n
$14.50 = $0.75 × 6 + $1.25 × n
14.50 = 4.5 + 1.25n
1.25n = 14.5 - 4.5
1.25n = 10
n = 10 / 1.25
n = 8 oranges
What is the area of the trapezoid below?
Answer:
Step-by-step explanation:
Answer:
The answer is 34.5cm2. (don't blame meh if wrong)
Step-by-step explanation:
Step 1: Find the area of the square; 4.6 x 3.2 = 14.72
Step 2: Find the bottom length to find the area of the triangle; 7.5 - 3.2 = 4.3
Step 3: Find the area of the triangle; 4.3 x 4.6 = 19.78
Step 4: Add the area of the square to the area of the triangle; 14.72 + 19.78 = 34.5
At Marie's Book and Music Store, 7/20 of the sales come from
books, 6/20 of the sales come from music and 3/20 of the sales
come from video games.
What fraction represents the portion of sales from books, music,
and video games?
Pls help I don’t know how to do this
The right answer is a i think i don't known step by step
Step-by-step explanation:
a
a
Is 3:5 and 5:7 equivalent
Ratios
Answer:
no its not equal
The triangle below is equilateral. Find the length of side x x in simplest radical form with a rational denominator
Answer:
x = √30
Step-by-step explanation:
We are given an equilateral triangle, so the angles will all be (180/3). = 60
Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x
Tan θ = opposite / Adjacent
Tan 60 = x / √10
Tan 60 = √3
Hence,
√3 = x / √10
x = √3 * √10
x = √30
. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro
An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
Answer:
It will take 48 hours for the entire icicle to melt.
Step-by-step explanation:
12 divided by 1/4 = 48
The linear equation to model the situation is f(x) = -1/4x + 12
Complete questionWrite a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?The given parameters are:
Length = 12 inchesRate = 1/4 inch per hourThe above means that:
Y-intercept (c) = 12Slope (m) = -1/4A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
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What do x and y equal?
For each of the following quadrilaterals, select all the properties that must be true.
the 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio
Answer:
-0.329
Step-by-step explanation:
The formula for Geometric ratio is
an = ar^n - 1
Where
a = First term = 18
r = Common ratio = ?
n = Number of term= 6
Hence
a6 = 18 × r^6-1
From the question
a6 = -2/29
Hence:
-2/29 = 18 × r^6-1
-2/29 = 18 × r⁵
Divide both sides by 18
-2/29 ÷ 18 = 18 × r⁵/18
-2/29 × 1/18 = r⁵
r⁵ = -1/261
Take the fifth root of both sides
⁵√(r⁵) = ⁵√(-1/261)
r = -0.3286032834
Approximately = -0.329
Therefore, Common ratio = -0.329
HELP ME PLEASEEEEEEEE ASAPPPP !!
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle
But from above, r = 1
Thus:
x^2 + y^2 = 1
Looking at option C, by squaring each coordinate, we have
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1
So this is also a point on the unit circle
I need some help with this please! An explanation would be lovely too!
Answer:
20
Step-by-step explanation:
if m<ABC is = 40 and BD is besector then m<ABD = 20
need an answer asap will give the first answer brainliest
Answer:
The answer would be the first one.
m = -3n
Step-by-step explanation:
Answer:
m = -3n
Step-by-step explanation:
-6 = (-3)2 True
-12 = (-3)4 True
-18 = (-3)6 True
Michael needs to decide which paint to buy.He found two advertisements, paint A in a 5l drum for R109,95 and paint B in a 20l drum for R599,00.
Which paint will be cheaper per liter?show all calculations.
Answer:
paint a is cheaper
Step-by-step explanation:
cost price of 1 liter of paint A = 109,95 / 5L
=21.99
cost price of 1 liter of paint B = 599 / 20L
= 29.95
paint A < paint B
(pls help i’m suffering) 3.06a Finding Standard Form by Completing the Square
Classify each as Circle, Quadratic (parabola) or other
(x - 5)2 + (v - 2) = 16
= 100
22 - x = 25
(x - 2) - (y + 5)= 10
y = 2x + 5
Step-by-step explanation:
A circle equation is represented by
[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]
A circle have both terms to the 2nd. degree
The 1st equation, 2nd equation, 4th equation are circles.
A quadratic is represented by
[tex] {x}^{2} + bx + c[/tex]
A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.
The 3rd equation is a quadratic.
The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)
This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.
What is a quadratic function?f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
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What is 938 written in standard form?
Answer:
[tex]9.38 \times 10^{2}[/tex]
Step-by-step explanation:
All numbers in scientific notation or standard form are written
[tex]m \times 10^n[/tex],
where m is a number between 1 and 10.
Answer:
[tex]9.38 \times {10}^{2} [/tex]
Step-by-step explanation:
All numbers in standard form are written
[tex]m \times {10}^{n} [/tex]
Hope it is helpful....how many ounces is 13 lbs?
Answer:
208 oz
Step-by-step explanation:
So do 16x13=208
13 lbs=208 oz
brainliest pls?
Answer:
its 208 ounces
