Answer:
2.40
Step-by-step explanation:
From the triangle QRS
RQ is the hypotenuse 13
QS is the opposite = 12
SR is the adjacent = 5
According to SOH CAH TOA
tan <R = opp/adj
Tan <R = qs/sr
Tan <R = 12/5
Tan <R = 2.40
Solve for x
A) 4
B) -3
C) 7
D) -10
Algebra
Make an equation to make the equation equal 12.
[tex]2x - 13 + x + 4 = 12[/tex]
Combine Like-Terms.
Make an equation.
[tex]3x - 9 = 12[/tex]
Add nine to both sides.
[tex]3x = 21[/tex]
Divide both sides by three.
[tex]x = 7[/tex]
Which expression is equivalent to
b^m/b^n?
Answer:
b^(m-n)
Step-by-step explanation:
Answer:b^m+n
Step-by-step explanation:
Which equation has two real solutions? A. x^2-4=0 B. x-4=0 C. x^2-4=0 D. x+4=0
Answer:
A and C (they are same equation)
x^2-4=0
x^2=4
x can be 2 and -2
2^2=4
-2^2=4
Step-by-step explanation:
prove
b.
x-4=0
X=4 (one solution)
d.
x+4=0
X=-4 (one solution)
Question 31 of 41
What is the surface area of the sphere shown below with a radius of 7?
7
7.7--
Answer:
615.75
Step-by-step explanation:
A=4 times pi times r squared
4 times pi times 49 = 615.752160104
Round it to 615.75
The volume of the cylinder is 51207 m. What is the missing value? K 20
Answer:
57.11 m
Step-by-step explanation:
The formula for the volume of a cylinder of radius r and length h is
V = πr²h. We want to solve this formula for d, the diameter of the cylinder.
Start by solving the equation V = πr²h for r²: divide both sides by πh.
V
Then r² = -------------
πh
51207 m³
Substituting 20 for h and 3.14 for π, we get r² = ------------------ or:
3.14(20 m)
r² = 815.40 m²
Find the radius by taking the square root of both sides of the previous result:
r = 28.56 m
The diameter is twice the radius, and therefore the diameter here
is d = 2(28.56) m = 57.11 m
Y=-1/3x+6 and x=-6 find the solution to the system
Answer:
(- 6, 8 )
Step-by-step explanation:
Given the 2 equations
y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)
x = - 6 → (2)
Substitute x = - 6 into (1) and evaluate for y
y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8
solution is (- 6, 8 )
You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your famous strawberry pie to compete with the other bakers. Utilize your skill with fraction to make correct calculations. You need to use 4/5 strawberries for a single pie, How many cups are needed for 9 pies?
Find the perimeter of the triangle with vertices D(−2, −1), E(3, 2), and F(0, 4). Do not round before calculating the perimeter. After calculating the perimeter, round your answer to the nearest tenth.
Answer: [tex]15.3\ \text{units}[/tex]
Step-by-step explanation:
Given
Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)
Length DE is
[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]
Length EF is
[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]
Length FD is
[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]
Perimeter of the triangle is
[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]
what is the probability of getting a number that it is not prime with a single toss of a die
Answer:
1/3
Step-by-step explanation:
The numbers on a die are 1,2,3,4,5,6
The numbers that are not prime 4,6
P( not prime) = number of numbers that are not prime/ total
=2/6 =1/3
Kesha borrowed $1,800 at 5% SIMPLE INTEREST. How much did Kesha owe after 6 months?
Interest: $
Total she owed: $
Answer:
Use Simple Interest Formula=PrT/100
SI=$1800×5×6/12÷100
=4500/100
=$45
Step-by-step explanation:
$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
f(x) = sin(x)
What effect does this have on the graph of the function?
A.) The graph is vertically compressed by a factor of 3 and shifted up 2 units.
B.) The graph is vertically stretched by a factor of 3 and shifted up 2 units.
C.) The graph is vertically compressed by a factor of 2 and shifted up 3 units.
D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units.
Given:
The function is:
[tex]f(x)=\sin x[/tex]
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
To find:
The effect on the graph of the function.
Solution:
The transformation is defined as
[tex]g(x)=kf(x)+b[/tex] .... (i)
Where, k is stretch factor and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:
[tex]g(x)=2f(x)+3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=2[/tex], it means the graph is vertically stretched by a factor of 2.
[tex]b=3[/tex], it means the graph is shifted up 3 units.
Therefore, the correct option is D.
Answer:
D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units
Step-by-step explanation:
best of luck to you all~! You are the best <3
Select the correct answer.
Ruby has a loss of $45 in her business. How will she enter the loss in her account book?
A.
$45
B.
+$45
C.
-$45
D.
45
Reset
Ruby lost $45 so she can enter it into her account as this: C. -$45
Can anyone simplify this ratio?
Answer:
I think it's A because 98÷14=7, 63÷9=7, 14÷2=7
Step-by-step explanation:
And all of those can be divided they even get the same numbers when you divide them which is 7.
What is the solution to this equation?
8x-2(x - 5) = x + 25
A. x= 3
B. x= 7
C. x = 6
D. X= 4
Answer:
x=3
Step-by-step explanation:
8x-2(x - 5) = x + 25
Distribute
8x -2x+10 = x+25
Combine like terms
6x +10 = x+25
Subtract x from each side
6x-x +10 = x+25-x
5x +10 = 25
Subtract 10 from each side
5x-10+10 =25-10
5x= 15
Divide each side by 5
5x/5 =15/5
x=3
Answer:
A. x = 3
Step-by-step explanation:
8x- 2(x - 5) = x + 25
Using distributive property
8 x - 2 x - 10 = x + 25
combine like terms
6 x - 10 = x + 25
subtract both side from x
6 x - x - 10 = x - x + 25
5 x - 10 = 25
Add 10 to both side
5 x - 10 + 10 = 25 - 10
5 x = 15
Divide both side by 5
5 x / 5 = 15 / 5
x = 3
What metric unit would you use to measure
the length of your math textbook?
__________________________________
Choose the correct answer below.
A. Millimeters
B. Centimeters
C. Kilometers
B. Meters
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…
⊹˚ʚ ❑Answer: B.centimeters!
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
Answer:
b
Step-by-step explanation:
The measurement instrument needed to measure this is your ruler and it is calibrated in centimeters
State the ordered pair that is a solution to the system of equations graphed below. _
Slope:
(2,2) (1,-3)
Answer:
(-2,1)
Step-by-step explanation:
Write the fraction of each diagram that is
a) shaded .
b) not shaded
Answer:
A: 1/8 for the first one B:7/8
Step-by-step explanation:
1 is shaded and 7 are not
please help me i dont understand
Answer:
alternate interior, 37 degrees
step-by-step explanation:
these are alternate interior angles and alternate interior angles are always equal :)
Please could someone explain me why the answer is not 10x5?
Answer:
20x^5
Step-by-step explanation:
You have to first find the prime factors of each term in order to find the greatest common factor.
Can somebody help me plz
Answer:
Step-by-step explanation:
A sightseeing balloon is 280 feet high. The angle
of depression to a car in the parking lot is 28°.
What is the distance on the ground from the point
directly under the balloon to the car?
Answer:
Step-by-step explanation:
The principal of a school will distributr money from the schools buget to three sports cricket, track and flirt and netball
Answer as a reduced proper fraction when applicable.
Answer:
7/3
Step-by-step explanation:
5/3 + 3/4 *8/9
First multiply
I like to rewrite to simplify
5/3 + (3/9 *8/4)
5/3 + (1/3 * 2/1)
5/3 + 2/3
Add ( they have like denominator)
7/3
please help, i attached a photo.
Answer:
yes..
Step-by-step explanation:
question in picture, thankyou
Answer:
19.82%
Step-by-step explanation:
Add all members that want weight lifting
47 + 21 + 14 + 29 = 111
111 / total members
111 / 560 = 0.1982
0.1982 * 100% = 19.82%
Answer:
33% of 100% of men
Step-by-step explanation:
Add 50 + 19 + 24 = 93
(amount of men doing anything other than lifting) 93÷140= 0.664 (about 66%)
(amount of men lifting) 47÷140= 0.335 (about 33-34%)
So 33% out of 100% of men would lift.
24. Find the volume of the pyramid. Round to the nearest hundredth if
necessary.
PLEASE HELP
Answer:
Solution given:
volume of pyramid =⅓area of base×height
=⅓*1*1*1=⅓=0.33yd³
the volume of the pyramid
0.33yd³
‘I-Moons’ charges $12 per album downloaded and an initial joining fee of $3. ‘I-Toons’ Charges $10 per album downloaded and a joining fee of $9. Write a system of linear equations that models this situation. Determine how many albums (x) it will take for the cost (y) to be the same. What does that cost?
Answer:
y = 3 + 12x - - - (1)
y = 9 + 10x - - - (2)
3 albums
$39
Step-by-step explanation:
Let number of download = x
Given :
I-moon :
Initial joining fee = $3
Cost per download = $12
Hence,
y = 3 + 12x - - - (1)
I - Toons :
Initial joining fee = $9
Cost per download = $10
y = 9 + 10x - - - (2)
For cost to be the same ;
Equate (1) and (2)
3 + 12x = 9 + 10x
Collect like terms
3 - 9 = 10x - 12x
-6 = - 2x
x = 3
It will take 3 albums
Cost :
3 + 12(3)
3 + 36 = 39
Answer Please........
Answer:
67.3 degrees
Step-by-step explanation:
Use tan ^-1
tan^-1 (55/23) = 67.3
(ii) 3x - 5y - 4 = 0 and 9x = 2y +7
Step-by-step explanation:
3×‐9×-5y-2y =0-7
-6x-7y =-7
Answer:
[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]
Step-by-step explanation:
3x - 5y = 4 ----------- ( 1 )
9x - 2y = 7 -----------( 2 )
______________________
( 1 ) x 9 => 27x - 45y = 36 ----------------- ( 3 )
( 2) x 3 => 27x - 6y = 21 -------------------( 4 )
_____________________
( 3 ) => 27x - 45y = 36
- ( 4 ) => -27x + 6y = - 21
____________________
( 3 ) - ( 4 ) => 0x - 39y = 15
-39y = 15
[tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]
Substitute y in ( 1 ) :
[tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]
Solve the inequality and represent your solution on the number line below.
-3x + 14< 5
Answer: X > 3
Step-by-step explanation:
You want to subtract 14 on both sides and you will get -3x < -9. Then you divide -3 on both sides -3x/3 > -9/-3 and you should end up with x < 3. Since you divided by the negative number you switch the sign from ">" to "<"
Hope this helps and sorry if it did not.