QRT=(3x+5)
TRS=(10x-7)
Find the measure of each angle.
Answers
Answer:
I'm sorry, but the given expressions QRT and TRS do not seem to correspond to angles. They appear to be algebraic expressions involving variables x. Without further information or context, it is not possible to determine any angles or measures of angles.
Please provide additional information or clarify the question.
Related Questions
) If a 480 pupils in a school are boys representing 80% of the school's enrolment . Find the total number of pupils in the school
Answers
Answer:
Total student= 600
Step-by-step explanation:
Let x be the number of students
\(x \times \frac{80}{100} = 480 \\ = 480 \times \frac{10}{8} \\ x = 600\)
Brainliest please~
Answer:600
Step-by-step explanation:
by taking total number of pupils x
80/100×x=480
48000/80=600
x=600
The roots of \[x^2 + 5x + 3 = 0\]are $p$ and $q,$ and the roots of \[x^2 + bx + c = 0\]are $p^2$ and $q^2.$ Find $b + c.$\(The roots of\[x^2 + 5x + 3 = 0\]are $p$ and $q,$ and the roots of\[x^2 + bx + c = 0\]are $p^2$ and $q^2.$ Find $b + c.$\)
Answers
By the factor theorem, we have
\(x^2+5x+3=(x-p)(x-q)\implies\begin{cases}3=pq\\-5=p+q\end{cases}\)
\(x^2+bx+c=(x-p^2)(x-q^2)\implies\begin{cases}c=p^2q^2\\-b=p^2+q^2\end{cases}\)
Then
\(c=p^2q^2=(pq)^2=3^2=9\)
and
\(p+q=-5\implies(p+q)^2=p^2+2pq+q^2=25\implies b=-(p^2+q^2)=-19\)
So we have b + c = -19 + 9 = -10.
The given roots of the equation x² + 5x + 3 = 0 as p and q, and x² + bx + c = 0 as p² and q², gives us the value of b + c = -10.
What are the sum and product of the roots of a quadratic equation?If the quadratic equation ax² + bx + c = 0, has roots as α and β, then:
Sum of the roots, α + β = -b/aProduct of the roots, αβ = c/aHow to solve the given question?In the question, we are informed that the roots of the expression x² + 5x + 3 = 0 are p and q, and the roots of the expression x² + bx + c = 0 are p² and q².
We are asked to find the value of b + c.
Since the roots of the equation x² + 5x + 3 = 0 are given as p and q.
So, we can say that:
Sum of the roots, p + q = -5Product of the roots, pq = 3Now, we are informed that the roots of the equation x² + bx + c = 0 are p² and q². So, we can say that:
Sum of the roots, p² + q² = -b, or, (p + q)² - 2pq = -b, or, (-5)² - 2(3) = -b, or, 25 - 6 = -b, or, 19 = -b, or, b = -19.Product of the roots, p²q² = c, or, (pq)² = c, or, 3² = c, or, c = 9.∴ b + c = -19 + 9 = -10.
∴ The given roots of the equation x² + 5x + 3 = 0 as p and q, and x² + bx + c = 0 as p² and q², gives us the value of b + c = -10.
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is the following graph a function?
A. yes
B. no
Answers
Answer:
Yes
Step-by-step explanation:
You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.
Find the sum of the first 10 terms of the following geometric sequences: {5, 6, 7.2, 8.64...) 110.5 104.0 129.8 115.3
Answers
The sum of the first 10 terms of the geometric sequence {5, 6, 7.2, 8.64...} is approximately 129.8. So the answer is 129.8.
To find the sum of the first 10 terms of the given geometric sequence {5, 6, 7.2, 8.64...}, we will use the formula for the sum of a geometric series:
Sum = \(\frac {a(1 - r^n)}{ (1 - r)}\)where \(S_n\) is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
where:
a = first term of the sequence (5 in this case)
r = common ratio between the terms (6 / 5 = 1.2 in this case)
n = number of terms (10 in this case)
Now, let's plug in the values and calculate the sum:
Sum = \(\frac {5(1 - 1.2^{10})}{ (1 - 1.2)}\))
Sum = \(\frac {5(1 - 6.1917364224)}{ (-0.2)}\)
Sum = \(\frac {5(-5.1917364224)}{ (-0.2)}\)
Sum = 129.79341056
Rounding to one decimal place, the sum of the first 10 terms of the given geometric sequence is approximately 129.8.
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answers for the 2 boxes :)
Answers
Step-by-step explanation:
Given
y = 2x + 1 .....i)
y = 3x +2 .....ii)
Putting equation II in equation i
3x + 2 = 2x + 1
3x - 2x = 1 - 2
x = -1
Now putting x = -1 in equation i
y = 2* (-1) + 1
= -2 + 1
= - 1
Therefore x = -1 and y = -1
Hope it will help :)
1.83 x 108 is how many times greater than 6.1 x 105?
Answers
Answer:
1.83 x 108 is about 3 times smaller
Step-by-step explanation:
1.83 x 108 = 197.64
6.1 x 105 = 640.5
640.5/197.64 = 3.24
20 POINTS N BRAINLIEST!!16.Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.
Answers
Answer:
a)E=.05t +34
b)$54
c)$600
Step-by-step explanation:
a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"
he earns an extra $34 a night of work. --> this is the constant
E= --> the total earned that night
E=.05t +34
b) simply plug in the total tip into the equation
E=.05(400) + 34
E=$54
--> he earned $54 that night
c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y
we find t, which is tip the restaurant was given
--> 64 = .05t +34
-34. -34
30= .05t ---> divide by .05 each side
t= $600
the restaurant was tiped 600 dollars and Alun was paid 64 dollars that night of work
hoped this helped:)
Find m∠1 and m∠2. Tell which theorem can be used.
Answers
Answer:
angle one=122 because it is using the alternate interior angle theorem
angle 2=58 because it is using the consecutive interior angle theorem
hope this helps
have a good day :)
Step-by-step explanation:
remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58
since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle
please I need the answer :-)
Answers
Answer:
Step-by-step explanation:
PLEASE HELP WITH MATHS
Answers
Answer:
No biscuits.
Step-by-step explanation:
We know that there is a total of 100 biscuits.
Let's assign variables.
X=Icing
Y=Hundreds and Thousands
Z=Cherries
X appears every 5 biscuits, y appears every 8 biscuits, and z appears every 9 biscuits. Let's start solving by finding their multiples that are less than or equal to 100.
X: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100
Y: 8,16,24,32,40,48,56,64,72,80,88,96
Z: 9,18,27,36,45,54,63,72,81,90,99
The multiples need to be a multiple of 5,8, and 9.
The numbers that have both x and y are: 40 and 80
The numbers that have both x and z are: 45 and 90.
Seeing as the numbers never overlap, there are no biscuits that have x,y, and z.
Note: If you like my answer, please rate it a 5 and click thanks! (It helps with my leveling. If you want to be extra nice, you can also give me brainliest if you want!) If you think there is something wrong with my answer or that there is something I should improve on, please leave it in the comments.
Write a word problem that
could represent the equation
below. Then solve the
equation
7y + 3 = 101
-PLEASE HELP IM FR HALF ASLEEP-
Answers
Answer:
y = 14
You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?
Step-by-step explanation:
You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?
7y=98
y=14
Answer: 14
Step-by-step explanation:
First you do 3 - 3 which cancels each other out.
2nd step :
you do 101 - 3 which equals 98
3rd step :
Divide 98 by 7 and your final answer is 14 !! <3
Find the measure of the indicated angle in each triangle, to the nearest degree.
Answers
Answer:
Y = 98
C = 104.8
Step-by-step explanation:
All triangle are 180 degrees
A.
17 + 65 = 82
180 - 82 = 98
B.
73 + 2.2 = 75.2
180 - 75.2 = 104.8
What solid 3D object is produced by rotating the rectangle about line m?
Answers
Answer:
A. A cylinder with diameter 8 units
Step-by-step explanation:
∵ The line m is the central axis
So the radius is 4 units. ∴ Diameter is 8 units.
∵ The picture is a rectangle.
[ The rectangle rotates are its side to form a cylinder ]
So a cylinder with diameter 8 units.
The answer is A.
Solve for P and Q if y(x) = -1/Px². ·Px²+ 6 steps and give exact values. Qx³ ¹x¹, y(2)=0 and y'(2) = 0. Show all 24
Answers
The values of P and Q are P = 3/2 and Q = -3/4. Given the function y(x) = -1/(Px² + Qx³), along with the conditions y(2) = 0 and y'(2) = 0, we can follow a series of steps to find the exact values of P and Q.
Step 1: Substitute x = 2 into the equation y(x) and set it equal to 0 to obtain the first equation: -1/(4P + 8Q) = 0.
Step 2: Simplify the equation from Step 1 to find that P + 2Q = 0.
Step 3: Differentiate y(x) with respect to x to find y'(x): y'(x) = (2Px + 3Qx²)/(Px² + Qx³).
Step 4: Substitute x = 2 into y'(x) and set it equal to 0 to obtain the second equation: (4P + 12Q)/(4P + 8Q) = 0.
Step 5: Simplify the equation from Step 4 to conclude that 4P + 12Q = 0.
Step 6: Solve the system of equations formed by P + 2Q = 0 and 4P + 12Q = 0, leading to the values P = 3/2 and Q = -3/4.
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29 percent of the employees at a large biotech firm are working from home. [You may find it useful to reference the z table.) a. In a sample of 40 employees, what is the probability that more than 23% of them are working from home? (Round final answer to 4 decimal places.) Probability b. In a sample of 100 employees, what is the probability that more than 23% of them are working from home? (Round final answer to 4 decimal places.) Probability c. Comment on the reason for the difference between the computed probabilities in parts a and b. As the sample number increases, the probability of more than 23% also increases, due to the lower z value and decreased standard error. As the sample number increases, the probability of more than 23% also increases, due to the lower z value and increased standard error.
Answers
In a large biotech firm, 29 percent of the employees are working from home. Thus, the larger sample size leads to a higher probability of observing such an outcome.
a. The probability that more than 23% of the sample of 40 employees are working from home is 0.9253 or approximately 92.53%.
b. The probability that more than 23% of the sample of 100 employees are working from home is 0.9998 or approximately 99.98%.
c. The difference in probabilities between parts a and b can be attributed to the larger sample size in part b. With a larger sample, the standard error decreases, resulting in a lower z-value and a higher probability of observing a value greater than 23%. In other words, as the sample size increases, the estimate becomes more precise and the probability of observing extreme values increases.
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Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. 135 in 2 160 in 2 80 in 2
Answers
For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).
Calculation For the Area of the Triangle:
It is given that,
The base of the triangle, B = 10 inches
The altitude from the base of the triangle or height, H = 16 inches
Now, the formula used for finding the area of a triangle is given as follows,
Area, A = (1/2) × B × H
Substituting the given values of B and H in the above formula for area, we get,
A = (1/2) × (10 inches) × (16 inches)
A = 5 × 16 inches²
A = 80 inches²
Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.
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Solve for v.
28-3v=4v
Simplify your answer as much as possible
V =
Answers
PLEASE HELP ASAP!!!!!!! 26 points
If Serena puts $1000 in a savings account that pays 2% interest compounded annualy, how much money will she have in the account after 10 years? (Hint: To find the amount of money after 1 year. multiply by 1.02.)
Answers
Answer:
5000
Step-by-step explanation:
1000 ÷ 2 = 500 x 10 = 5000
Answer:
$1221.19Step-by-step explanation:
Formula for compound interest:
A= P(1+r/n)^n x t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We know that Serena pays annually meaning yearly (12 months or 1 year)
So after substituting all the numbers in,
A= 1000(1+0.02/12)^(12x10)
We change the rate to 0.02 because we must divide 2% by 100%. And divide the rate by number of times applied per time (n).
DISCLAIMER:
I have not done compound interest questions in a long time but if you want to confirm my answer, go to a calculator site and just input the numbers on there.
Point D is 1/n of the way from C(−2. 5, 1. 25) to E(5, 15). What are the coordinates of D if n = 5?
Answers
Answer:
50
Step-by-step explanation:
Use integrals to find the area between the curves.
• An aquarium is in the form of a cuboid whose external measures are 80cm x 30cm x 40cm. The base , side faces and back faces are to be covered with a coloured paper. Find the Area of the paper needed?
Answers
As a result, you'll need 8000 square centimetres of colourful paper to cover the aquarium's base, side faces, and rear face.
What is Rectangle ?
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles.
The amount of paper required will equal the total of the areas of the aquarium's base, side faces, and back faces.
The area of the base is just the area of an 80cm × 30cm rectangle, which is:
80cm x 30cm = 2400 square centimetres foundation area
The area of each side face is the product of the cuboid's height and breadth, which is
2400 square centimetres = 2 x height x width = 2 x 40cm x 30cm = 2400 square centimetres
Similarly, the back face region is:
Height x length = 40cm x 80cm = 3200 square centimetres for the rear face
As a result, the total amount of paper required is:
Total paper area required = 2400 + 2400 + 3200 = 8000 square centimetres = 2400 + 2400 + 3200 = 2400 + 2400 + 3200 = 2400 + 2400 + 3200 = 2400 + 2400 + 3200 = 2400 + 2
As a result, you'll need 8000 square centimetres of colourful paper to cover the aquarium's base, side faces, and rear face.
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Find the value of x and y?
Answers
Answer:
8.66
Step-by-step explanation:
\(\sin(60)=\frac{opposite}{hypotenuse}=\frac{y}{10}\\\\ y=10\times\sin(60)=8.66\)
if kelly eat 6 apples out of 15 how many are left?
Answers
There are 9 apples left.
We have,
In this problem, we use simple subtraction.
Now,
If Kelly eats 6 apples out of a total of 15, we can calculate the number of apples left by subtracting the number of apples eaten from the total number of apples.
Apples left
= Total apples - Apples eaten
= 15 - 6
= 9
Therefore,
There are 9 apples left.
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Tony has a hosepipe. The length of the hosepipe is 20 m. Tony stores the hosepipe on a reel. The weight of the reel is 1.4 kg. 1 ⁄ 2 metre of the hosepipe has a weight of 150 grams. Work out the total weight of the hosepipe and the reel.
Answers
Answer:
the total weight of the hosepipe and the reel is 7.4 kg
Step-by-step explanation:
First, we need to find the weight of the hosepipe, we know that 1/2 metre of the hosepipe has a weight of 150 grams, therefore we can conclude that 1 meter has a weight of (150)(2) = 300 grams.
If one meter weighs 300 grams, then 20 meters have a weight of \(20(300) = 6000\) grams. But since 1000 grams are 1 kg, this would be equivalent to 6 kg.
Now, to find the total weight of the hosepipe and the reel we are going to sum up the 2 weights:
Total weight = hose pipe weight + reel weight
Total weight = 6 kg + 1.4 kg
Total weight = 7.4 kg.
Therefore, the total weight of the hosepipe and the reel is 7.4 kg
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
Answers
Answer:
3/4
Step-by-step explanation:
1/2 +1/4 = 2/4 +1/4 = 3/4
Answer:
I'm sorry someone answer before I could
Angle Sum Theorem
y = ?
Answers
Answer:
140°
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 remote interior angles. (The 2 angles farthest from the angle on the outside of the triangle)
20 + 120 = 140
Answer:
y= 140
Step-by-step explanation:
first you find x by using the sum of angles in a triangle(180-120-20). so x is 40.and then you do 180-40 ( adjustment angles on a straight line. let me know if it makes sense.
If f(x) i increaing on an interval containing x1 and x2 where x1 i greater than x2, then it follow that
Answers
If f(x) is increasing on an interval containing x1 and x2 where x1 is greater than x2, then it follows that f(x1) is greater than f(x2).
This is because an increasing function means that the output values of the function, f(x), are increasing as the input values, x, increase. So, if x1 is greater than x2, then f(x1) will be greater than f(x2) since f(x) is increasing.
A function is said to be increasing if, for any two input values x1 and x2 in the domain of the function, if x1 is less than x2, then the output value of the function at x1 is less than the output value of the function at x2. In other words, if x1 is less than x2, then f(x1) < f(x2).
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what is the meaning of interval [a,b]
Answers
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
pls help i really need it
Answers
Answer:
-7/8>-8/10
Step-by-step explanation:
Which two ratios form a proprtion?
A) 6/9 and 3/1
B) 6/9 and 1/3
C) 6/9 and 2/3
D) G/9 and 3/2
Answers
Use the interactive tool to find the difference.
(-4) -6? Imma give 20 brainlest
Answers
Answer:
-10
Step-by-step explanation:
Difference means to subtract
(-4) - 6
-4 - 6
-10
I hope this is what you are looking for.
Answer:
The answer to this question is -10 because when you put -4-6 you get -10 and so the answer is -10!