Answer:
first let's solve for x
x + (x + 30) + 2x = 180
4x + 30 = 180
-30 -30
4x = 150
/4 /4
x = 37.5
Now solve for the angle measures:
(x + 30) = (37.5 + 30) = 67.5
2x = 2(37.5) = 75
x = 37.5
Answer:
X= 37.5
Step-by-step explanation:
Choose a way to solve.
Write or draw to explain.
2. Greg has Il shirts.
3 have long sleeves.
The rest have short sleeves.
How many short-sleeve
shirts does Greg have?
Help please! Thank you in advance!!
Answer:
8 short sleeve shirts
Step-by-step explanation:
Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.
Put the numbers in ascending order:
-6, 19, 4, -22, 9
Answer:
-22, -6, 4, 9, 19
Step-by-step explanation:
hope this helps
Find the area of the triangle
Please help me - I don't get how to do this.
Please show your work - I really need to understand this
Answer:
Step-by-step explanation:
1. Pythagorean theorem: a^2+b^2=c^2
Note that the hypotenuse is 11 (for the second right triangle).
Find the length of the dotted line by doing 7^2+b^2=11^2
49+b^2=121, b=[tex]\sqrt{72\\}[/tex].
Now you can the area of the second right triangle: ([tex]\sqrt{72\\}[/tex](7))/2=29.7.
Find the length of the first right triangle:
Note that 9 is the hypotenuse; ([tex]\sqrt{72\\}[/tex])^2+b^2=9^2
=72+b^2=81
b=3.
([tex]\sqrt{72}[/tex])(3))/2=12.7
Through what angle does the minute hand of a clock turn in 45 minutes?
Answer:
2700Step-by-step explanation:
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
so
45 * 6 =
2700
Assume that all letters in the following equation represent positive numbers.
Answer:
None of the suggested answers
A Biology test has 20 questions and is worth a total of 100 points. The test
consists of True/False questions worth 2 points each and multiple choice questions
worth 7 points each. How many of the test questions are multiple choice and how
many of the test questions are True/ False?.
# of true/false questions =
# of multiple choice questions
PLEASE HELP ME I WILL GIVE BRAINLY
Answer:
12 multiple choice and 8 True/False
Step-by-step explanation:
To do this we set up a system of equations. Let x represent the True/Fale questions and y represent the multiple-choice questions. Here is a system we can use:
x + y = 20
2x + 7y = 100
We can solve this by using elimination. To do this we multiply one equation by a number, and add them together. If we multiply the first equation by -2, the "x"s will, when added together, cancel out so we can solve for y.
-2(x + y = 20)
-2x - 2y = -40
Now add them together
5y = 60
Solve for y.
y = 12
This means there are 12 multiple choice questions. 20 - 12 is 8 True/False questions.
Hope this helps and have a great day! :D
Answer:
8 True/False and 12 Multiple Choice
Step-by-step explanation:
x+y=20 ...1
2x+7y=100 ...2
Now you can multiply 2 on 1
2x+2y=40
2x+7y=100
Subtract:
-5y=-60
Divide -5 on both sides:
y=12
Substitute y with 12
x+12=20
Subtract 12 on both sides:
x=8
So there are 8 True/False and 12 Multiple Choice
Hope this Helps!
Answer helped by: azailiaskoglund
1. What is the value of x that satisfies the equation? Must show all proper work/steps!
32^2x = 16^2x+8
Student's Work
Student's Answer
A. x = 4
B. x =- 4
C. x = 16
D. x = 1
Please explain all steps
[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]
Answer:
x = 16
Hope you could get an idea from here.
Doubt clarification - use comment section.
Find an equation of the line having the given slope and containing the given point. Slope 7 through (6,3)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]
Answer:
[tex]y-3=7(x-6)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 7 and passes through the point (6,3).
We want to write the equation of this line.
There are three ways to do it:
Slope-intercept form, which is y=mx+b where m is the slope and b is the value of y at the y-intercept.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point. Standard form, which is ax+by=c where a, b, and c are free integer coefficients.As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.
SolvingAs we are already given both the point and the slope, we can plug them both into the equation.
Starting with the slope, substitute 7 for m.
[tex]y-y_1=7(x-x_1)[/tex]
Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].
[tex]y-3=7(x-6)[/tex]
A spherical solid, centered at the origin, has radius 4 and mass density(x,y,z)=6-(x^2+y^2+z^2). Set up the triple integral and find its mass.
I've attached a photo of the question.
There's something very off about this question.
In spherical coordinates,
x² + y² + z² = ρ²
so that
f(x, y, z) = 6 - (x² + y² + z²)
transforms to
g(ρ, θ, φ) = 6 - ρ²
When transforming to spherical coordinates, we also introduce the Jacobian determinant, so that
dV = dx dy dz = ρ² sin(φ) dρ dθ dφ
Since we integrate over a sphere with radius 4, the domain of integration is the set
E = {(ρ, θ, φ) : 0 ≤ ρ ≤ 4 and 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π}
so that the integral is
[tex]\displaystyle \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 - \rho^2) \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
Computing the integral is simple enough.
[tex]\displaystyle = \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
[tex]\displaystyle = 2\pi \int_{\phi=0}^{\phi=\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\phi[/tex]
[tex]\displaystyle = 2\pi \left(\int_{\phi=0}^{\phi=\pi} \sin(\phi) \, d\phi\right) \left(\int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \, d\rho\right)[/tex]
[tex]\displaystyle = 2\pi \cdot 2 \cdot \left(-\frac{384}5\right) = \boxed{-\frac{1536\pi}5}[/tex]
but the mass can't be negative...
Chances are good that this question was recycled without carefully changing all the parameters. Going through the same steps as above, the mass of a spherical body with radius R and mass density given by
[tex]\delta(x, y, z) = k - (x^2 + y^2 + z^2)[/tex]
for some positive number k is
[tex]\dfrac{4\pi r^3}{15} \left(5k - 3r^2\right)[/tex]
so in order for the mass to be positive, we must have
5k - 3r² ≥ 0 ⇒ k ≥ 3r²/5
In this case, k = 6 and r = 4, but 3•4²/5 = 9.6.
| 2n+2g = 5
3x + 3y = 7
How many solutions does the system of equations above have?
Answer:
The following equation has no / zero solution.
Step-by-step explanation:
The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.
factor x[tex]x^{2} -81[/tex]
Step-by-step explanation:
[tex]x^2-81=x^2-9^2=(x-9)(x+9)\\\\\text{Used}\\\\a^2-b^2=(a-b)(a+b)[/tex]
PLEASE HELLPPPPPP IDONTKNOWTHISSS
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
= 3x+y=-2
= Linear equations with two variables have multiple infinite solutions.
= Assuming x=0
then y=-2
= Assuming x=1
then y=-2-3
= y=-5
= Assuming x=2
then y=-2-6
= y=-8
Writing them as coordinate points -
(0,-2),(1,-5),(2,-8)...and so on.
__________________________.
= y=2x+3
Assuming x=0
then y=3
Assuming x=1
then y=2+3
= y=5
Assuming x=2
then y=4+3
= y=7
Writing them as coordinate points -
(0,3),(1,5),(2,7)...and so on.
Answer:
Point Form:
( − 1 , 1 )
Equation Form:
x = − 1 , y = 1
Step-by-step explanation: there you go
Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.
So we have a 5-digit number, let's say that it is:
abcde
Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).
We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).
Let's assume that the first digit at which we assign its value is this, e, the last one.
For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}
4 of these options are even numbers.
So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:
P = 4/9
Now the other four digits can be anything (even or odd), so we only care for the probability above.
If you want to learn more about probability, you can read:
https://brainly.com/question/23044118
heyyy can have halppppp
Answer:
ang hirap naman plss answee
what is 2*6 i need help
Its 12 for answer
Step-by-step explanation:
2×6=12
Which of the following is a correct cosine ratio for the figure?
(refer to the picture below)
A) C = 13∕12
B) C = 5∕13
C) C = 5∕12
D) C = 12∕13
Answer:
D
Step-by-step explanation:
Cosine is adjacent / hypotenuse, so 12/13
Which expression is undefined?
Answer:
D: [tex]\frac{3}{(6-6)}[/tex]
Step-by-step explanation:
Option A equates to [tex]-\frac{0}{2}=0[/tex]
Option B equates to [tex]\frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}[/tex]
Option C equates to [tex]0\div11 =0[/tex]
Option D equates to [tex]\frac{3}{(6-6)}=\frac{3}{0}[/tex] which cannot be defined as division by 0 is impossible
Help help math math math
Answer:
y = 3x + 4
x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.
(i think this is right im not sure tho)
Answer:
3x+1
Step-by-step explanation:
3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y
⦁ Simplify: –3|–2| + 4|–5|
show work
Answer:
-3|-2|+4|-5|=14Step-by-step explanation:
3| -2 =6
4| -5| =20
= -6+20
Simplify -
14
Thank You! I hope I could make your day just a little bit better!
HELP ASAP
The temperature was -1°F at noon and dropped to -14°F by the evening.
What was the change in temperature?
13°F
-13°F
-15°F
15°F
Answer:
The change in temperature is -13°F.
Step-by-step explanation:
The change in temperature is,
→ -1 + x = -14
→ x = -14 + 1
→ [ x = -13 ]
Therefore, -13°F is the change.
Is 6.32332333... a rational or irrational number? a Choose the correct answer below. O rational number O irrational number
Answer:
Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0
help me with this math problem please
Answer:
BC ≅ EF
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent
ABC ≅ DEF
The corresponding sides are BC and EF
Convert 56 grams to 2 ounces
Answer:
its 2 ounces. if you look it up it would tell you
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...
Answer:13
Step-by-step explanation:
37-3.5=33.5
33.5/2.5=13.4
since it ask for the whole number, it will be 13
At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
w [tex]\leq[/tex] 50
Step-by-step explanation:
A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?
Answer:
P = 4x + 10
Step-by-step explanation:
perimeter of a rectangle = 2( width + length )
P = 2 ( x - 2 + x + 7 )
P = 2 ( x + x + 7 - 2 )
P = 2 ( 2x + 5 )
P = 4x + 10
What is 5x + 12 < 2 ?
Answer:
x < -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5x + 12 < 2
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10[Division Property of Equality] Divide 5 on both sides: x < -2Answer:
x < - 2
Step-by-step explanation:
5x + 12 < 2 ( subtract 12 from both sides )
5x < - 10 ( divide both sides by 5 )
x < - 2
100 POINTS
Please HELP I THINK ITS THE ANSWER I CLICKED THAT HAS A BLUE CIRCLE BUT I dont know
Answer:
Option D
Step-by-step explanation:
Twice b means b is multiplied by 2 or 2b3 less than twice b means it's subtracted or 2b-3.The expression is a=2b-3
88888*88888 help me please
The length of a pool is twice its width. What is the ratio of the length to the width of the pool?
Answer:
2:1 OR as a fraction, 2/1
Step-by-step explanation:
We don't know the actual length or width of this pool, like we don't know a number, as in exactly how many feet or meters long or wide this pool is. For this question, we don't need to know. "Twice" means 2 times. So if we consider the width (which we don't know) and call it w, then the length, (which we also don't know) which is two times as long, would be 2w
Width = w
Length = 2w
Ratio of Length to Width is
2w:w or as a fraction 2w/w
This can be simplified to
2:1 or as a fraction 2/1