Answer:
angle v is 105
Step-by-step explanation:
the triangles are similar, so the angles will be the same so both triangles, the sum of the angles for a triangle must add up to 180 degrees
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us charged 0.35$ per minute. Which of the following picewise functions represents charges based on tracy’s cell phone plane?
Answer:
Since Tracy is charged $29 for 250 free minutes so:
For x ≤ 250, f(x) = $29
tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:
For x ≥ 250, f(x) = 29 + 0.35(x - 250)
A photograph has a length that is 2 inches longer than its width. There is a 1-inch frame surrounding the photograph. Which expression represents the area of the entire photograph and frame combined?
The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
What is Area?Area is the amount of space taken up by a plane shape.
To find an expression for the area of the entire photograph and the frame combined, we use the formula below.
Formula:
A = L×W............. Equation 1Where:
A = Area of the photograph and the frameL = Length of the photograph and the frameW = Width of the photograph and the frameFrom the question,
Let the width of the photograph be x, The length of the photograph = (x+2) inchesL = (x+2)+1 = (x+3) inchesW = (x+1) inchesSubstitute these values into equation 1
A = (x+3)(x+1)A = x²+x+3x+3A = x²+4x+3Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
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A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.
How long was the original length of the ribbon?
Answer:
140 inches
Step-by-step explanation:
21 is 15% of 140.
Fine angle W……….Inscribed angles….correct answer will get brainliest
Answer:
40°
Step-by-step explanation:
[tex]\angle UTV [/tex] and [tex]\angle UWV [/tex] are inscribed in the same [tex]\widehat {UTV} [/tex]
Angles inscribed in the same arc are equal in measure.
[tex]\implies m\angle UWV =m\angle UTV [/tex]
[tex]\implies 19x +21\degree =10x +30\degree [/tex]
[tex]\implies 19x -10x =30\degree-21\degree [/tex]
[tex]\implies 9x =9\degree [/tex]
[tex]\implies x =\frac{9\degree}{9} [/tex]
[tex]\implies x = 1\degree [/tex]
[tex]\implies 19x +21\degree= 19(1\degree) +21\degree[/tex]
[tex]\implies 19x +21\degree= 19\degree +21\degree[/tex]
[tex]\implies 19x +21\degree= 40\degree[/tex]
[tex]\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}[/tex]
karen has 2 gallon bucket that is half full of water. when she poured the water into another bucket, that bucket was one fourth full. how much water will the second bucket hold
Answer:
1 3/4 gallons
Step-by-step explanation:
Element X decays radioactively with a half life of 10 minutes. If there are 110 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 18 grams?
The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins
How to determine the number of half-lives Original amount (N₀) = 110gAmount remaining (N) = 18 gNumber of half-lives (n) =?2ⁿ = N₀ / N
2ⁿ = 110 / 18
2ⁿ = 55/9
Take the log of both side
Log 2ⁿ = Log (55/9)
nLog 2 = Log (55/9)
Divide both side by Log 2
n = Log (55/9) ÷ Log 2
n = 2.61
How to determine the time Number of half-lives (n) = 2.61Half-life (t½) = 10 minsTime (t) =?t = n × t½
t = 2.61 × 10
t = 26.1 mins
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15 plus a number equals 25
Answer: 10
Step-by-step explanation: 15+10=25
The statement 15 plus a number equals 25 is equals to 10.
We are given that;
The statement
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find the number, we can use the following steps:
Write the equation using a variable for the unknown number: 15 + x = 25
Subtract 15 from both sides: 15 + x - 15 = 25 - 15
Simplify: x = 10
Therefore, by algebra the answer will be 10.
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A 9. 5-foot pole casts a shadow that is 29 feet long. What is the approximate measure of angle L? 0. 32 rad 1. 24 rad 19. 2 rad There is not enough information to answer this question.
The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
A 9.5 feet pole casts a shadow that is 29 feet long.
Perpendicular = 9.5 feet
Base = 29 feet
The angle is given by the tangent. The tangent is given as
[tex]\rm tan \ \theta = \dfrac{Perpendicular }{Base}[/tex]
Then we have
[tex]\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad[/tex]
The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
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Answer:
A on Edge
Aka 0.32 rad
Step-by-step explanation:
Next one is:
Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.
Please answer all of the problems attached in the pdf. I have fallen behind in studiess and need a little help - thanks
Answer:
Step-by-step explanation:
Choose an equivalent expression for 123 • 129 • 124 • 122.
Answer:
[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]
B. 12^18 is the correct answer...Hopes to get BRAINLIEST....Thank you ☺️
The equivalent expression for the given expression from the question is [tex]12^{18}[/tex]
From law of indices[tex]X^2 . X^2 .X^3 = X^(2+2+3)= X^7[/tex]Same principle applies.we were given [tex]12^3 . 12^9 . 12^ 4 .12^2[/tex]since they all have the same base, then we can sum up their powers, then we have[tex]12^(3+9+2+2)[/tex][tex]= 12^18[/tex]
Therefore, the equivalent expression is [tex]12^{18}[/tex]
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PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.
Answer:
A = 40°
a = 9.0
b = 10.7
Step-by-step explanation:
The sum of interior angles of a triangle is 180°
⇒ m∠A + 50° + 90° = 180°
⇒ m∠A + 140° = 180°
⇒ m∠A = 180° - 140°
⇒ m∠A = 40°
[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side adjacent to the angle = ahypotenuse = 14[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]
[tex]\implies \mathsf{a=14\cos(50)}[/tex]
[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]
[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side opposite to the angle = bhypotenuse = 14[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]
[tex]\implies \mathsf{b=14\sin(50)}[/tex]
[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Let consider the given triangle be ABC
Here, It is given in the question that ,
[tex]\sf{ {\angle} B = 90° }[/tex][tex]\sf{ {\angle} C = 50° }[/tex][tex]\sf{ AC = 14 }[/tex]Therefore,By using Angle sum property
It states that the sum of all angles of triangles are equal to 180°That is,
[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]
Subsitute the required values,
[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]
[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]
[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]
[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]
Thus, The angle A is 40°
Now,We have to find the side a and b
We know that,
[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]
[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]
For side A[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]
[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]
[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]
[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]
For Side B[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]
[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]
Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .
Alexa can bike home from school an hour and a half faster than she can walk home. her biking speed is 9 miles per hour faster than her walking speed. her school is 6 miles from her home. write an equation that can be used to find her walking speed, w.
The equation that can be used to find the walking speed is as follows:
w = 6 / x
How to calculate speedspeed = distance / timeTherefore,
let her walking speed = w
The time she can walk home = x hours
time she can bike home = (1.5 + x) hours
bike speed = (9 + w) miles per hours
Her school is 6 miles from her home.
Therefore, the equation that can be used to find the walking speed is as follows.
speed = distance / timew = 6 / x
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Simplify the polynomial by writing each of its term in standard form. 1.5xy^2 *(-4)xyz-4mnk*5m^2 n^3 k
The simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
What is polynomial?
A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.
To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.
First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:
[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])
Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:
-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])
Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]
Therefore, the simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
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What is the slope of a line parallel to the line whose equation is 5x + y = -9
Answer:
-5
Step-by-step explanation:
Because this equation is in standard form you can do -A/B which is the first two numbers of the equation, and since -A=5 and B=y(1) then i just did -5/1 and i got -5
What is the surface area of the cube shown?
square centimeters
The area of one face is length x width:
Area of one face = 6.5 x 6.5 = 42.25 square cm.
There are 6 total faces on a cure.
Total surface area = 42.25 x 6 = 253.5 square cm.
What’s the measure of Please help I need this ASAP
Answer:
the answer is 124 degrees my friend
Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 cm.
Which of these tiles will fit the wall exactly?
Answer:
Step-by-step explanation:
1.2m = 120 cm
2.16 m = 216cm
120×216 =25920cm
2) 10×18 = 180
25920/180= 144
√144 = 12
how can we use the study of time measurement's in our time Management?
Answer:
We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.
what is 15 < −5x because i keep getting stuck on this and its really getting me mad
Answer:
its 3 fam just divide 15 by 5
Step-by-step explanation:
1. Find the volume of the prism below. *
22 in
U! 6L
5.5 in
A 294.8 cubic inches
O B 955.9 cubic inches
O C 35.4 cubic inches
OD 179.3 cubic inches
Answer:
B
Step-by-step explanation:
V= breath times height times width
[tex]22 \times 7.9 \times 5.5 = 955.9[/tex]
There are 8 green marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answer:
Total number of marbles in the bag = 8+11?=19
Number of green marbles = 8
Number of blue marbles = 11
Probability of choosing a green marble randomly = 8/19
Step-by-step explanation:
Please mark me brainliest
determine which of the values is a solution of 4t+6≤10
Solution =
not a Solution =
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
4t + 6 ≤ 10
Simplify the inequality, then we have
4t + 6 ≤ 10
4t ≤ 10 - 6
4t ≤ 4
t ≤ 4 / 4
t ≤ 1
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
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What is the exact volume of the cone?
0 4077 cm
10 cm
80
3
π cm²
O
160
3
TT cm
4 cm
o 160 cm
(Please help!!)
Answer:
[tex]40\pi \: {cm}^{3} [/tex] will be your answer
[tex]\tt V=\dfrac{1}{3}h\pi r^2\\\\V=\dfrac{1}{3}\times 10\times \pi 4^2\\\\V=\dfrac{160\pi }{3}[/tex]
Show the remainder of this problem as a fraction:
=45 /
Answer:
45 9/14
That's how you would write it.
36) How old am I if 500 reduced by 3 times
my age is 299?
Answer:
67
Step-by-step explanation:
500 − 3x = 299
3x = 201
x = 67
PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST
Answer:
no solution
Step-by-step explanation:
There are no values of x that make the equation true.
No solution
Answer:
5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x
Step-by-step explanation:
A Step-by-step means moving slowly from one stage or level to the next
Don’t worry, we’ll take things one step at a time.
Need help with question 11- Tysm!
Answer:
A=½bh
165=15b(½)
multiply both sides
330=15b
divide
22=b
Factor out the greatest common factor in the following polynominal. x^4-8x^3+x^2
Answer:
The greatest factor of the polynomial is x^2.
To factor out x^2, we divide each term by x^2:
x^2 - 8x + 1
Don't forget to multiply back the x^2:
x^2(x^2 - 8x + 1)
I hope this helped you.
2x + 2x + 2 = 4x + 2
Do this equation has one solution,many solutions,or no solutions?
Step-by-step explanation:
2x + 2x + 2 = 4x + 2 combine like terms
4x + 2 = 4x + 2 subtract 4x from both sides
4x - 4x + 2 = 4x - 4x + 2
2 = 2 TRUE
CONCLUSION:This equation has an infinitely many solutions. The solution to this equation is any real number.
What is the lenght of the side opposite the 45 degree angle?
Answer: 5√2
Step-by-step explanation:
the opposite sides on a 45 45 90 triangle
Look at the image: