Answer:
The, value x for the give problem is 20 units.
Step-by-step explanation:
Consider triangle ABC,
Now, from the attached figure
Given that
PQ || AB
CP = 8units
PA = 6 units
CQ = x = ? units.
QB = 15 units
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (8) / (6) = (x) / (15)
On applying cross multiplication then
⇛ 8(15) = x(6)
⇛ 120 = 6x
⇛ x = 120÷6
⇛ x = 120/6
Therefore, x = 20 units.
Answer: Hence, value of x is 20 units.
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"
Please let me know if you have other questions.
what is the Diagram of 5*x =15
Answer:
i got the answer i put a picture below
Step-by-step explanation:
At San Diego State University, Webber Hall is located 35 meters west and 55 meters south of the Student Union. Aztec Hall is located 42 meters east and 30 meters south of the Student Union. How far is Webber Hall from Aztec Hall? Round to the nearest tenth..
Answer: 20
Step-by-step explanation:
55+35=90
42+30=72
90-72=18 (close to 20)
1. Evaluate the expression when b = 24.3
10 + b
HELP!!! I have no clue!!! Please help
dixie drinks 2 cupsof water in five minutes while dale drinks 10 cups of water in 12 minutes. who drinks the greater number of cups per minute
Answer: dale
Step-by-step explanation:
2÷5=0.4(Cups/minute).........dixie
10÷12=0.833∞(Cups/minute)..........dale
0.8333>0.4
If XU = 3y-5 and RT = 32, find the value of y
Answer:
Step-by-step explanation:shsjsjdhdbshchdhchfhchdfhehxbehchr hehfhehdhejsjwhd khasa
3.75 +9.25-(-4.75*0.5-0.2*2-3)
Answer:
-7.225 according to a calculator.
15/20 = ? (Fractions)
After solved please type how u got it for a test thank u!
15 / 20 = 3 × 5 / 4 × 5
simplify 5 from The Denominator and The numerator
= 3 / 4
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
For more such questions on ratio of the sides
https://brainly.com/question/31529028
#SPJ8
For Exercises 13-17, given A(6,-4), B(3, 8), and
C(-7, 9), determine the coordinates of the vertices
of AA'B'C' for each glide reflection. Suppose p is
the line with equation x = -3,q is the line with
equation y = 9, and r is the line with equation
y=-2. SEE EXAMPLE 3
Answer
A(-10, 9), A'(-4, 9)
B(-4, 2), B'(-10, 2)
C(-7, 9), C'(-7, -4)
Example 3:
A(-3, 5), A'(3, 5)
B(-3, 0), B'(3, 0)
C(-3, 5), C'(-3, -10)
please help! What is the exact volume of the cylinder?
Enter your answer, in terms of π, in the box.
\(\pi \: {r}^{2} h\)
\( \frac{22}{7} \times \: {5}^{2} \times 15\)
\(1178.09725\)
Jennifer has watched 42 minutes of a movie, which is 20% of the movie. What is the total length in minutes of the movie?
Answer:
210
Step-by-step explanation:
20% is equal to 1/5
5*42 = 210
The movie is 210 minutes.
Answer: 210
5 x 42 = 210
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ1
Your firm purchases a business copier that costs $14,000 and requires $3,000 in maintenance for each year of its four-year life. After four years, the copier will be replaced. The copier falls into the MACRS three-year class life category. Use table 12.8 on page 415 in your textbook for DDB depreciation. If the tax rate is 32 percent, whats the depreciation tax shield for this project in year 4?
Answer:
The depreciation tax shield for this project in year 4 is $178.24.
Explanation:
To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.
From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.
Using the DDB method, we can calculate the depreciation expense for each year as follows:
Year 1: Depreciation expense = $14,000 x 33.33% = $4,667
Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554
Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830
Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557
The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:
$4,667 + $3,554 + $830 + $557 = $9,608
Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:
Depreciation tax shield = Depreciation expense in year 4 x Tax rate
Depreciation tax shield = $557 x 32% = $178.24
Therefore, the depreciation tax shield for this project in year 4 is $178.24.
Learn more about Double-Declining Balance on:
brainly.com/question/24296752
U thought this was a professional answer?!!!!??????
You're wrong!!!!!!!!!!!!!!!!!
But the answer is correct though...
:))
PEW PEW PEW
Bing Chilling
It's over...
No more to read
Happy birthday if it's ur birthday...
Have a nice day my king:)
Let f(x) = x ^ 2 g(x) = sqrt(x - 1) and h(x) = 2x + 3 Express each function k as a composite of two out of these three functions.
k(x) = sqrt(x ^ 2 - 1)
We can write k(x) as the composition of g(x) and f(x).
k(x) = g(f(x))
How to express k(x) as a composition?A composition of two functions means that we need to evaluate one function in the other one.
Here we have the functions:
f(x)= x²
g(x) = √(x - 1)
h(x) = 2x + 3
And we know that:
k(x) = √(x² - 1)
So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:
k(x) = g(f(x))
Learn more about compositions at:
https://brainly.com/question/10687170
#SPJ1
A cylinder has a base diameter of 16 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?
Answer:
804.2 ft³
Step-by-step explanation:
\(V=\pi r^2 h=\pi(16/2)^2 (4) \approx 804.2\)
what is 7000 out of 1/10 is
Answer:
70,000.
Step-by-step explanation:
7000 is (1/10) of 70,000 - as 7000*10=70,000.
Hope is help ba bye!
- miah
Answer: 700
Step-by-step explanation: To see what is 7,000 out of 1/10 you'll divide. This problem can be written as 7000 ÷ 10, or 7000 of 10%
If you didn't know, 1/10 is the same as 10%.
So, to solve this, you'll divide 7000 by 10.
With that being said, your answer is 700.
Please comment down below about questions about my answer.
Trace is buying notebooks. Each notebook is $2 off the original price. He buys 8 notebooks for $28. What is the original price of a notebook?
The original price of each notebook is $5.5
How to calculate the original price of each notebook ?
Trace is purchasing some notebooks
Each notebook is $2 off the original price
He buys 8 notebooks for $28
The first step is to calculate the price of one notebook
8= 28
1= x
Cross multiply both sides
8x= 28
x= 28/8
x= 3.5
1 notebook is $3.5
$2 was removed from the initial price. Therefore the original price is
2 + 3.5
= 5.5
Hence the original price of the notebook is $5.5
Read more on original price here
https://brainly.com/question/21284703
#SPJ1
Inequality sentence
Six subtracted from w is greater than 15
2.
Answer:
Ok hi
Step-by-step explanation:
a triangular field has boundaries of lengths 170m,195m and 210m,find the size of the largest interior angle of the field
The size of the largest interior angle of the field is 69.86°
What is cosine law?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,
We know that, angle opposite to the largest side is largest,
Therefore,
The largest angle is opposite is 210 m side, (say c)
Using the cosine rule,
210² = 170²+195²-2(170)(195)cosC
CosC = 170²+195²-210² / 2(170)(195)
CosC = 22825 / 66300
CosC = 0.344268477
C = 69.86°
Hence, the size of the largest interior angle of the field is 69.86°
Learn more about cosine rule, click;
https://brainly.com/question/26952873
#SPJ9
Matt ran 8 laps in 1,256 seconds. If he ran each lap in the same amount of time , how many seconds did it take him to run 1 lap
Matt takes 157 seconds to run 1 lap.
What is ratio?Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to run 8 laps = 1,256 seconds
To find time taken to run 1 lap, use the ratio property,
8 laps = 1256 seconds
1 lap = 1256/8 seconds
1 lap = 157 seconds
Matt takes 157 seconds to run 1 lap.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ1
HELPPPPPPP HURRYYYYYY
y=2x^2+24x+69
Please solve in vertex form and show workk
The vertex form of the equation is y = 2(x + 6)² - 3.
What is vertex form?
Mathematicians can determine the vertex coordinate of a parabola by using the vertex formula when a graph crosses its symmetry axis. The vertex point is commonly shown as (h, k).
We are given an equation as y = 2x² + 24x + 69
We know that the vertex form of an equation is y = a(x-h)² + k
So, converting to vertex form
⇒2x² + 24x + 69 = 0
⇒x² + 12x + 69/2 = 0
⇒x² + 12x = -69/2
Adding 36 on both the sides, we get
⇒x² + 12x + 36 = 3/2
⇒(x + 6)² = 3/2
So, the vertex form comes out to be
y = 2(x + 6)² - 3
Hence, the vertex form of the equation is y = 2(x + 6)² - 3.
Learn more about vertex form from the given link
https://brainly.com/question/30339547
#SPJ1
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is sliding down the wall. When the top end is 6 meters from the ground, it slides down at 2m/sec. How fast is the bottom moving away from the wall at this instant?
Answer:
Step-by-step explanation:
This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is \(\frac{dx}{dt}\) when y = 6 and \(\frac{dy}{dt}=-2\).
The equation for Pythagorean's Theorem is
\(x^2+y^2=c^2\) where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:
\(2x\frac{dx}{dt}+2y\frac{dy}{dt}=0\) and divide everything by 2 to simplify:
\(x\frac{dx}{dt}+y\frac{dy}{dt}=0\). Looking at that equation, it looks like we need a value for x, y, \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\).
Since we are looking for \(\frac{dx}{dt}\), that can be our only unknown and everything else has to have a value. So what do we know?
If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:
\(x^2+6^2=10^2\) and
\(x^2+36=100\) and
\(x^2=64\) so
x = 8.
NOW we can fill in the derivative and solve for \(\frac{dx}{dt}\).
Remember the derivative is
\(x\frac{dx}{dt}+y\frac{dy}{dt}=0\) so
\(8\frac{dx}{dt}+6(-2)=0\) and
\(8\frac{dx}{dt}-12=0\) and
\(8\frac{dx}{dt}=12\) so
\(\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec\)
whats 10 x 34? please tell me
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
For more such questions on homework
https://brainly.com/question/28521601
#SPJ8
Will give 100 points to anyone who can find the arc measure and show work! thanks!
Answer:
2π/3 radians----------------------
Given:
Arc length (s) = 8π/3 Radius (r) = 4 kmTo find the arc measure (θ) in radians, we can use the formula:
s = rθNow, plug in the given values:
8π/3 = 4θTo solve for θ, divide both sides by 4:
(8π/3) / 4 = θSimplify the expression:
2π/3 = θSo, the arc measure (θ) is 2π/3 radians
Any help would be great!
Answer:
Step-by-step explanation:
67.5
I really need help and my paper is due at the end of the day today at 1:49pm can someone help me ???
Answer:
The pencils at store A cost more.
Step-by-step explanation:
First find the price of one pencil at store A
y=0.55(1)=
y=0.55
One pencil at store A costs 0.55
Now find the price of one pencil at store B
3.06/6=
0.51
One pencil at store B costs 0.51
0.55>0.51 so The pencils at store A cost more.
Hope this helps!
is it true that 19 subtracted by 10 equals 8 correct if not what is the right answer
Answer:
It is not true. 19 - 10 = 9.
:) Hope this helps
what is the exact factorization of 12x+3xy+2zy+8z
Answer:
3x2y−3xy+12x−12
Take out 3xy common from first two terms and 12 from last two terms.
3xy(x−1)+12(x−1)
(x−1)(3xy+12)