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Explanation:
Refer to the diagram below.
There's a lot of info given to us that we don't need (and won't use).
The only key piece of info we'll really use is the fact that angle XZY is 27 degrees.
Draw in segments RU and RT to form quadrilateral TRUZ
Focusing solely on this quadrilateral, we see that the angles T and U are 90 degrees each (since the tangents are perpendicular to the radii at the point of tangency). Furthermore, we see that angle Z is 27 while angle R is x
For any quadrilateral, the four angles always add to 360 degrees
T+R+U+Z = 360
90+x+90+27 = 360
x+207 = 360
x = 360-207
x = 153
That means angle R of quadrilateral TRUZ is 153 degrees.
Furthermore, it means angle TRU is 153 degrees.
By extension, it indicates that minor arc TU is 153 degrees.
That makes arc TSU = 360 - (minor arc TU) = 360 - 153 = 207 degrees
By Joining TR and UR we got 2 right angles and a Quadrilateral
now
In a Quadrilateral sum of angles=360°
[tex]\\ \large\sf\longmapsto x+90+90+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+180+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+207=360[/tex]
[tex]\\ \large\sf\longmapsto x=360-207[/tex]
[tex]\\ \large\sf\longmapsto x=153°[/tex]
<TSU =360-153=207°∛3x+7=∛2x+1
solve it please
Answer:
x = -6
Step-by-step explanation:
cube each side :
3x + 7 = 2x + 1
solve for x:
x = -6
The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent? the number of seconds after the rocket is released the initial height of the rocket the initial velocity of the rocket the height of the rocket after t seconds The function V(r) = four-thirds pi r cubed can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
Answers:
t is the number of seconds after the rocket is released
V(r) is the volume of the ball with radius r.
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Explanation:
There isn't much to say in terms of explanation. These variables are simply definitions.
Determine the number of real solutions of -2x^2+ 5x – 3 = 0.
2
1 (double root)
5
0
Answer:
[tex]{ \tt{ - 2 {x}^{2} + 5x - 3 = 0 }} \\ { \tt{2 {x}^{2} - 5x + 3 = 0}} \\ { \tt{(2x - 3)(x - 1) = 0}} \\ { \tt{x = \frac{3}{2} \: and \: 1}}[/tex]
Answer:
2 i think
Step-by-step explanation:
sorry if im wrong
out of 500 bulbs, 0.2 are defective. how many are defctive
Answer:
100
Step-by-step explanation:
0.2*500=100
A hundred chickadees can eat 100 kg of seeds in 100 days. How many kg of seeds can 10 chickadees eat in 10 days?
Answer:
1 kg
Step-by-step explanation:
Number of chickadees = 100
Quantity of seed eaten = 100 kg
Number of days = 100
Quantity of seeds each chickadee eats per day =Number of chickadees ÷ Quantity of seed eaten ÷ Number of days
= 100 ÷ 100 ÷ 100
= 1 ÷ 100
= 0.01 kg of seed
How many kg of seeds can 10 chickadees eat in 10 days?
= Quantity of seeds each chickadee eats per day × number of chickadee × number of days
= 0.01 kg × 10 × 10
= 1 kg
10 chickadees eat 1 kg of seeds in 10 days
Dwight wants to build a new rectangular beet farm, but he is first making a list of items he needs to purchase from the store. Dwight decides he will get 160 feet of
fencing to go around the farm that will have a length of 50 feet.
a. Find the width of the farm that Dwight wants to make. Include units.
b. Dwight decides that he will plant 1 beet seed for every square foot of land in this farm and he does not want to purchase any extra seeds. Exactly how many beet seeds should he purchase? Include units.
Answer:welcome
Step-by-step explanation: sorry I jsit really needed the points
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Answer:
s4 = 270
18+36+72+144 = 270
-- convergent sums to a single value
Step-by-step explanation:
Hello I’m trying to solve this problem I just don’t know how to do it.
BUT if someone could help and show me step by step that would be great I’m not trying to ask for the answer
I’m just trying learn how to solve it and so step by step there no rush Thank you
Step-by-step explanation:
To evaluate the proposed, the comprehension of linear data is required,
Slope: The rise/run or the accumulative unit distance between two differentiated points on a linear.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
1. To solve the following systems, first convert the Slope-Intercept formatting to Standard (General) form:
y = -5/3x + 3
3(Y = -5/3x + 3) Product by the denominator to eliminate the fraction.
3y = -5x + 9. Add 5x to the other expression as in standard form, the slope must be positive.
5x + 3y = 9 <== Standard (General) Form.
Y = 1/3x - 3
3(y = 1/3x - 3). Product by the denominator to eliminate the fraction.
3y = x - 9. Subtract by x to place the slope within the other expression of the equation.
-1(-x + 3y = -9). Now, product by -1 to contribute to a positive slope.
X - 3y = 9 <=== Standard (General) Form.
2. To solve for the x and y values, utilize the system of substitution:
1(5x + 3y = 9)Multiply equations by opposite slope to the other, and a positive to other.
-5(X - 3y = 9)
Evaluate,
+ 5x + 3y = 9. Now, add the systems.
-5x + 15y = -45
——————————
18y = -36
Y = -2
Thus, now that y is equated to -2, substitute that to either equation.
X - 3y = 9
X - 3(-2) = 9
X + 6 = 9
X = 3
Thus, x = 3, y = -2. This is their intersection point.
To plot these lines on the graph, execute the following,
Y = -5/3 x + 3
Start with the y-intercept. Draw a point on number 3 on the y-axis (vertical).
Starting with that point, go down 5 units, right 3 units.
* Remember, if there is a negative rise, go down. Positive, go up. If there is a negative run, go left. Positive, go right.
* Keep going 5 units down, right 3 units, until the graph allows.
2. Y = 1/3 x - 3
Similarly, conduct the same steps:
Starting with the y-intercept, draw a point on -3 on the vertical, or y-axis.
Beginning on that point, go up 1 unit, right 3 units.
Keep going up 1 units and 3 units right until the graph permits.
*I hope this helps.
What is another name for a relation that has each element in its domain paired with exactly one element in its range?
Find one rational number between 1 and 2.
There are infinitely many rational no.s between two no.s
one rational number between 1 and 2 is
11/10
Help please ! Thank you!
:) :) :) :) :) :) :) :) :) :) :) :) :)
Please help solve 1, and 2
Answer:
Step-by-step explanation:
1). WXYZ is a rectangle,
Properties of a rectangle,
i). Opposite sides are equal and parallel.
ii). All interior angles measure 90°.
iii). Diagonals are equal in measure.
a). WY = ZX = 30
Therefore, ZT = [tex]\frac{1}{2}(ZX)[/tex]
[tex]ZT=15[/tex]
b). WY = ZX = 45
c). Since, WY = ZX,
(4b - 16) = (3b + 5)
4b - 3b = 16 + 5
b = 21
2). GOAT is a rhombus and m∠OGA = 35°,
a). m∠TGA = m∠OGA = 35°
b). m∠GXO = 90°
c). m∠GXT = 90°
d). Since adjacent angles of a rhombus are supplementary,
m∠OGT + m∠GTA = 180°
70° + m∠GTA = 180°
m∠GTA = 110°
m∠GTO = [tex]\frac{1}{2}(m\angle GTA)[/tex]
= [tex]\frac{1}{2}(110^{\circ})[/tex]
= 55°
e). Since, opposite angles of a rhombus are equal,
m∠OGT = m∠OAT = 70°
f). m∠GOA = m∠GTA = 110°
The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?
Answer:
875.018
Step-by-step explanation:
To solve this, we must plug in 6 for our t value. So, we have the equation:
-4.982 - 20(6) + 1000
Following the rules of PEMDAS, we have:
-4.982 - 120 + 1000 = 875.018
How many amount will be reqyired to plaster on the four walls at the rate of Rs 315per square meter?find it
Incomplete question
Let the area be = 100 square meter
Cost of plaster = Rs 315 per square meter
No of walls = 4
Total area = 400 square meter
Then cost = 400 × 315
= Rs 1,26,000
Answered by Gauthmath must click thanks and mark brainliest
Find the value of both variables.
[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]
I hope I helped you ^_^
The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.
Answer:
7000
Step-by-step explanation:
70/100 * marked price = original price - 100
marked price = 140/100* og price
70/100 * 140/100 * og price = original price - 100
49/50 * og price = orignal price - 100
1/50 of original price = 100
orignal price = 5000
marked price = 140/100 * 5000 = 7000
PLEASE HELP ME I DONT UNDERSTAND
Answer:
no
Step-by-step explanation:
the square root of 2 is not rational
Ade thinks of a number He doubles it and then subtract 5 The result cannot be less than 100 find the range of values of x
Answer: [tex]x\in [53,\infty)[/tex]
Step-by-step explanation:
Given
Ade doubles her number and subtract 5 from it. The result cannot be less than 100
Suppose the number is [tex]x[/tex]
According to the question
[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]
Find the value of m.
A. 7
B. 2
C. 42
D. 14
Answer:
A. 7
Step-by-step explanation:
3m + 21 = 6m
Move variables to one side to get:
3m + 21 = 6m
-3m -3m
21 = 3m
Then isolate variable by dividing by 3
21/3 = 3m/3
m = 7
Choice A is the correct answer
Find the perimeter of this semi-circle with diameter, d = 22cm.
Give your answer as an expression in terms of t.
Answer:
=22tcm
Step-by-step explanation:
Perimeter of a circle =πD
But π=t
hence perimeter; = 22tcm
where t=π
SOMEONEEEE HELPPP MEEEE OUTTTT!!!!
Answer:
24°
Step-by-step explanation:
cos ? = 41/45
? = arccos 41/45
? = 24
Answered by GAUTHMATH
What is the value of q?
P= 3in
a) find the length of each side of the square
b) find the area of the square
Step-by-step explanation:
what does P mean ?
I assume it is perimeter ?
what is the perimeter of a square ?
come on, there is practically nothing in math that is easier to solve.
a square has 4 equal sides.
so, to go one time around the whole square, we have to go along every one of its 4 sides (which are all of equal length).
so, when I get the perimeter number, I know this is the result of all 4 sides added together.
and how can we express having 4 times the same number ? exactly how we say it in English : 4 times the number.
therefore
P = 4 × side length
and from there we can immediately deduct
side length = P / 4 = 3/4 in
now we know how long the sides of the square are.
what is the area of the square ?
like for any rectangle the area is length×width. just that length=width, so that we end up with length×length = length².
therefore, the area is
3/4 × 3/4 = (3/4)² = 9/16 in²
this is important : a length is measured e.g. in inches (in). an area is then measured in square-inches = in²
if (p+2q)/p = 7/5 , find the value of q/p , where p ≠ 0
Work Shown:
(p+2q)/p = 7/5
(p/p)+(2q/p) = 7/5
1 + 2(q/p) = 7/5
2(q/p) = 7/5 - 1
2(q/p) = 7/5 - 5/5
2(q/p) = (7-5)/5
2(q/p) = 2/5
q/p = (2/5)*(1/2)
q/p = (2*1)/(5*2)
q/p = 1/5
Answer:
q/p = 1/5
Step-by-step explanation:
(p+2q)/p = 7/5
Multiply each side by p
(p+2q)/p *p = 7/5*p
(p+2q) = 7p/5
Multiply each side by 5
(p+2q)*5 = 7p/5 *5
5p + 10q = 7p
Subtract 5p from each side
5p + 10q -5p = 7p -5p
10 q = 2p
divide each side by p
10q/p = 2p/p
10 q/p = 2
Divide each side by 10
q/p = 2/10
q/p = 1/5
The tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4.
What is the solution to this system?
Answer:
how?
Step-by-step explanation:
i didnt get this question
Answer:
(8,-22)
Step-by-step explanation:
I took the quiz and did my work on paper but the paper got wet and I don't remember the steps I did
What is the linear function equation represented by the graph?
Enter your answer in the box.
Picture below
i need help cant understand it
Answer:
105
Step-by-step explanation:
Because the lines are parallel, we know that those angles have to add up to 180. so we just do
x+75=180
or 180-75=105
x+75°=180°
x=180°-75°
x=105°
or
180°-75° = 105°
please mark this answer as brainlist
in how many ways can alice give 12 apples to 3 children
Answer:
Step-by-step explanation:
give four apples to each child because 12/3 is 4
Answer:
91
Step-by-step explanation:
find : (f/g)(x) pls help
Answer:
4
Step-by-step explanation:
f(x) = 16x+12
g(x) = 4x+3
f(x) / g(x) =
Factoring f(x) =4(4x+3)
f(x) /g(x) = 4(4x+3) / (4x+3) = 4
what is the value of i^n if the remainder of n/4 is 3?
Answer:
-i
Step-by-step explanation:
i =i
i^2=-1
i^3= -i
i^4=1
i^5=1
