Answer
[tex]x=\frac{11}{3}[/tex]
Explanation
Based on the given conditions, formulate:: [tex]y=3[/tex]
Substitute [tex]y=3[/tex] into [tex]y=-6x+25[/tex] :: [tex]3=-6x+25[/tex]
Rearrange variables to the left side of the equation: [tex]6x=25-3[/tex]
Calculate the sum or difference: [tex]6x=22[/tex]
Divide both sides of the equation by the coefficient of variable: [tex]x=\frac{22}{6}[/tex]
Cross out the common factor: [tex]x=\frac{11}{3}[/tex]
what is 10 divided by 123456
Answer:
12345.6
Step-by-step explanation:
when dividing by 10, just move the decimal point one time to the left. 123456 is changed to 12345.6
If a1 = 3 and an = (an-1)^2+4 then find the value of a4
Answer:
Here is the ans hope it helps:)
This is a test, I need help
The area of the triangle below is 23.66 square inches. What is the length of the base?
Answer:
9.1
Step-by-step explanation:
9.1 times 5.2 = 47.32
47.32 divided by 2 = 23.66
The length of the base of the triangle is, 9.1 inches
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The area of the triangle below is 23.66 square inches.
And, The height = 5.2 inches
We know that;
Area of triangle = 1/2 × Base × Height
Substitute all the values we get;
⇒ 23.66 = 1/2 × Base × 5.2
⇒ 23.66 = Base × 2.6
⇒ Base = 23.66 / 2.6
⇒ Base = 9.1 inches
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The figure of Circle A shown below has diameter PR which intersects QS at point B and the measurements shown. Calculate the following measures:
m
Complete all calculations and work on a separate piece of paper, including any figures that you use. Once you have found all of the measures, upload the solution and your work here.
Please answer ASAP!!! 35 POINTS!!!
The figure is an illustration of the relationship between the angles in a circle and arc
The measure of angle PSQFrom the figure, the arc PQ is subtended by the angle PAQ.
This means that:
PQ = ∠PAQ
Given that ∠PAQ = 130, it means that:
Arc PQ = 130
The measure of PSQ is then calculated using:
∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.
This gives
∠PSQ = 0.5 * 130
∠PSQ = 65
Hence, the measure of ∠PSQ is 65 degrees
The measure of arc QRA semicircle measures 180 degrees.
This means that:
QR + PQ = 180
So, we have:
QR = 180 - PQ
Substitute 130 for PQ
QR = 180 - 130
QR = 50
Hence, the measure of QR is 50 degrees
The measure of arc RSThe measure of arc RS is then calculated using:
∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.
Where ∠RPS = 35
So, we have:
35 = 0.5 * Arc RS
Multiply both sides by 2
Arc RS = 70
Hence, the measure of RS is 70 degrees
The measure of angle AQSIn (a), we have:
∠PSQ = 65
This means that:
∠PSQ = ∠PSB = 65
So, we have:
∠PSB = 65
Next, calculate SBP using:
∠SBP + ∠BPS + ∠PSB = 180 ---- sum of angles in a triangle.
So, we have:
∠SBP + 35 + 65 = 180
∠SBP + 100 = 180
This gives
∠SBP = 80
The measure of AQS is then calculated using:
AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)
This gives
AQS = 180 - (180 - 80) - (180 - 130)
Evaluate
AQS = 30
Hence, the measure of AQS is 30 degrees
The measure of arc PSA semicircle measures 180 degrees.
This means that:
PS + RS = 180
This gives
PS = 180 - RS
Where RS = 70
So, we have:
PS = 180 - 70
Evaluate
PS = 110
Hence, the measure of arc PS is 110 degrees
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help!! im stuck on delta aghh
Answer:
see below
Step-by-step explanation:
5t+9t and 14t
Becuase the two numbers have the same variable, you can add them together. The exponents do not change.
5+9=14
5t+9t= 14t
Answer:
5t +9t is equivalent to 14t
5t -9v is not equivalent to 9v-5t
5(9t-5) is not equivalent to 45t-5 because 5(9t-5) is 45t-25
t +t + t +v is not equivalent to 4tv
The sum of two numbers is twenty-one the larger number is three more than twice the smaller number . What are the two numbers ?
Answer:
6 and 15
Step-by-step explanation:
n1 + n2 = 21
2(n1) + 3 = n2
n1 = 6
n2 = 15
6 + 15 = 21
Solve the system of equations by the addition method.
6x - y = 12
6x + y = 0
Write the power (-8)² in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
Answer:
1.) The power in repeated multiplication form is: -8 × -8
-----> Since -8 is raised to the power of 2, it means that there should be two -8's being multiplied together.
2.) The value of the power is: 64
-----> Remember, a negative number times a negative number is equal to a positive number. Therefore, -8 × -8 = 64.
A pyramid has a height of 17 meters and a base area of 6 square meters. what is the volume of the pyramid.
Answer:
34 m²
Step-by-step explanation:
Given,
Height ( h ) = 17 m
Base Area ( A ) = 6 m²
To find : Volume of Pyramid
Formula : -
Volume of Pyramid = Ah / 3
Volume of Pyramid
= 17 x 6 / 3
= 17 x 2
= 34 m²
Hence,
The Volume of pyramid is 34 m².
place and value 127,654
786,540 45,902 place value help please
Answer:
127,654
Place: hundreds, Value: 600
786,540
Place: Hundred thousands, Value: 700,000
45,902
Place: ten thousands, Value: 40,000
Hope this helps!
Add these auxiliary points and lines to create 2 right triangles: Label the origin P. Plot points M= (2, 0) and N = (6, 0). Draw segments PB' and MB, and NB.' You may use digital tools or you may draw your solution and embed a screenshot of your completed work here.
Answer:
Just plot the points, then connect. It's very easy. Try it yourself.
A circle with a radius of 6 m has an arc of 4pi m. What is the measure of the central angle?
A) 120°
B) 90°
150°
D) 60°
Answer:
I think the answer is A 120°
A rectangular coil of wire, 22. 0cm by 35. 0cm and carrying a current of 1. 95a , is oriented with the plane of its loop perpendicular to a uniform 1. 50 t magnetic field
If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Then the torque will also be zero.
What is torque?The torque that may cause an item to revolve along an axis is measured as torque. The axis of rotation is the point at which the item rotates.
A rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95 Ampere, is oriented with the plane of its loop perpendicular to a uniform 1.50 Tesla magnetic field.
Then the torque that the magnetic field exerts on the coil will be
The torque is given as
[tex]\rm \tau = I \overrightarrow{A} \times \overrightarrow{B}[/tex]
The strength of magnetic torque on the current-carrying circle is given by θ: if θ is the angle between A and B. Then we have
[tex]\rm \tau = I AB \sin \theta[/tex]
When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.
Then θ = 0
Then we have
[tex]\rm \tau = I AB \sin 0\\\\\tau = 0[/tex]
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Use the Pythagorean Identity and Tangent Identity to find tan theta if sin theta= -1 and 0 ≤ theta <2Pi radians.
By using the Pythagorean identity the value of tan [tex]\theta[/tex] will be ∞.
tan [tex]\theta[/tex] = ∞.
What is Pythagorean identity?
Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem. The fundamental identity states that for any angle [tex]\theta[/tex],
[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]
By Pythagorean Identity we have,
[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]we have, [tex]sin \theta \; = \; -1[/tex]
So, [tex](-1)^{2} \; + \; cos^{2}\; \theta =\; 1[/tex]
[tex]\; cos^{2}\; \theta =\; 1 - \; 1[/tex]
[tex]cos^{2}\; \theta =0[/tex]
[tex]cos\; \theta =0[/tex]
Now, we know that
[tex]tan \; \theta= \frac{sin\; \theta}{cos\; \theta}[/tex]
= [tex]\frac{-1}{0}[/tex]
[tex]tan \; \theta=[/tex] ∞....................... (1)
Again, tan [tex]90^{0}[/tex] = ∞
If we compare from equation (1), we have
[tex]\theta = 90^{0}[/tex]
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helpppppppppppppppppppp
(a) Check the graph given below.
(b) 9 is located to the right of -6
(c) complete the statement: 9 > -6
PLEASE AWNSER QUICKLY!!!
If there are 45 mg Vitamin C in a bag of Skittles, what is the 100% recommended Daily Value of vitamin C?
Answer: i am 90% sure its 75 milligrams (mg) a day for women and 90 mg a day for men.Step-by-step
explanation: i hope this helps
Write an equation of a line in slope-intercept form with the given slope and y-intercept slope:8,y-intercept:-3
Answer: y=3x-8
Step-by-step explanation:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the equation of the line in slope intercept form if its slope is 8 and its y-intercept is -3?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
y=8x-3
[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]
Slope Intercept form, as the name implies, has slope & intercept in its equation.
It looks like y=mx+b, where "m" is the slope and "b" is the y-intercept.
To determine the equation of the line, we need to write the value of m, which in this case is 8, in lieu of m:-
y=8x+b
Same with the y-intercept:-
[tex]\tt{y=8x+(-3)}[/tex]
Which simplifies to
[tex]\tt{y=8x-3}[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Alana sold 6 oranges for $3. Write the equation that represents the price for any number of oranges.
Answer:
50 cents ($0.50)
Step-by-step explanation:
We need to find the price for one orange. To get one orange, you have to divide 6 by 6. Anything you do to one side of the equation must be done to the other side. You have to divide 3 by 6. If you do this, you get .5, or 1/2. In money, that translates to 50 cents.
Hope this helps!
Step-by-step explanation:
the price of one orange is indeed 3/6 = 1/2 = $0.50.
the equation residential the price for any number of oranges contains then a variable, say x, to stand for the number of purchased oranges :
p(x) = 0.5x
meaning that the price of x oranges is 0.5×x.
What is the solution to this system of linear equations? x y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)
The solution to the system of linear equation x + y = 4 and x - y = 6 is (5, -1).
How to find the variable in a system of equation?
x + y = 4
x - y = 6
Therefore, let's add the equations.
2x = 10
divide both sides by 2
x = 10 / 2
x = 5
Let's find the value of y
Therefore,
x + y = 4
5 + y = 4
y = 4 - 5
y = - 1
Therefore, the solution of the system of equation is (5, -1)
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Which is the equivalent reciprocal of cot 75 ?
Answer:
What is the Value of Cot 75 Degrees in Terms of Tan 75°? Since the cotangent function is the reciprocal of the tangent function, we can write cot 75° as 1/tan(75°). The value of tan 75° is equal to 2 + √3.
Evelyn baked 41 cookies. She gave the same number of cookies to each of her 5 friends, saving 11 for herself. How many cookies did each friend receive?
Answer: Draw 41 circles and then divide them among her five friends.
Step-by-step explanation:
A cylinder has a height of 9 meters and a diameter of 12 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth. please helpppp
Answer:
1,017.36
Step-by-step explanation:
To find the volume of a cylinder, you need to figure out the radius and height.
We've already been given the height, which is 9 meters.
Now let's find the radius.
To find the radius you have to divide the diameter by 2, which means 12/2, which is 6.
Now let's plug it into the formula: [tex]V = \pi r^{2} h[/tex]
So, 3.14 x [tex]6^{2}[/tex] x 9.
Solve the exponent, giving us 36.
3.14 x 36 x 9 = the volume.
Meaning, V = 1,017.36
Hope this helped, this is my first time answering a question.
Point C is on line l
The figure is not drawn to scale
Which of the following additional statements would allow us to prove that the sun of the interior angle measures in triangle ABC is 180 degrees
A. Angle 1 congruent to angle 2 only
B. Line l parallel to AB only
C. Either statement is sufficient
D. We need both statements
E. Even with both statements, we still could not prove that the sum of the interior angle measures in triangle ABC is 180 degrees
The additional statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is this: B. Line l parallel to AB only.
What is the right statement?The right statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is the expression that shows that line 1 is only parallel to AB.
This answer can be arrived at by summing up all of the angles and equating them to 180 degrees.
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Can someone help me with this question please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
I need help with number 5.
Pls help!!
Answer:
I cannot see number 5 question there are many question please clarify
The area of a parallelogram is A=bh where b is the base and h is the height. Find the area of a parallelogram with a base of 8x+3 and a height of 8x – 3.
Answer:
64x^2-9........
Step-by-step explanation:
(8x+3(8x-3)
Marie is buying a discount pass to a public swimming pool.
• There is a one-time $12 fee to buy the pass.
• It costs $2 for each visit to the pool. Enter an equation that represents the total cost, C, in dollars, for Marie to visit the pool n times.
Answer:
2c+12
Step-by-step explanation:
I aced maths class
Anyone can help me with this multiple choice question please?? 70 points
Answer:
58 is A
59 is A
Step-by-step explanation:
Hope this helps
Answer:
58. A (12 x tan 60°)
59. A (2 + 14 tan 35)
Step-by-step explanation:
tan Ф = [tex]\frac{opposite}{adjacent}[/tex]
Doug is planning to build a model of a sailboat using a scale where 2 inches represents 25 feet. If the sailboat has a sail-height of 210 feet, what is the length in inches that Doug should build sail-height of the model of the airplane.
Answer: 16.8
Step-by-step explanation:
2:25 = X:210
210/25 = 8.4
Multiply 8.4 by 2
how to bisect a 90 degree angle
Answer:
Bisect means to divide it into two, so you can draw a line such that both resulting sides are 45 degrees.
