Answer:
x = - 12, 3
Step-by-step explanation:
By tangent secant theorem:
[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]
The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.
Number of T-Shirts Total Cost (dollar)
11 153
16 213
21 273
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
A.
c(t) = 12 + 12t
B.
c(t) = 21t
C.
c(t) = 21 + 12t
D.
c(t) = 132t
Answer:
C. c(t) = 21 + 12t
Step-by-step explanation:
Diana is planting a garden in the shape of the sector below. What is the length of fencing needed for the curred part of the garden? 108/10 ft
99/110
iruwjqkfsjakgjlkja;lkdfjskl ; jkgfj jh jj j hjh jh jh jh jhk kgoljkhk jhkl jh jkhjk k hjk hlkj h
In ΔOPQ, q = 6.5 inches, o = 8.6 inches and ∠P=55°. Find ∠Q, to the nearest 10th of an degree.
Answer:
∠Q = 35.5°
Step-by-step explanation:
We are given;
q = 6.5 inches
o = 8.6 inches
∠P = 55°
Let's first use cosine rule to find p.
p² = q² + o² - 2qo cos P
Plugging in the relevant values;
p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)
p² = 42.25 + 73.96 - 32.0629
p² = 84.1471
p = √84.1471
p = 9.17 inches
Using sine rule, we can find ∠Q;
p/sin P = q/sin Q
sin Q = (q•sinP)/p
sin Q = (6.5 × sin 55)/9.17
sin Q = 0.5806
Q = sin^(-1) 0.5806
Q ≈ 35.5°
Answer:
47.5
Step-by-step explanation:
From delta math
What was the function of the polis as it developed in Greek civilization?
Answer: "A city-state, or polis, was the community structure of ancient Greece. Each city-state was organized with an urban center and the surrounding countryside. Characteristics of the city in a polis were outer walls for protection, as well as a public space that included temples and government buildings."
"The polis was a structure of community amongst the ancient Greek world and it controlled a surrounding territory of land. An individual polis was independent from the other poleis in regards to legal, religious, social, political and judicial institutions and practices."
Answer:
~The function of the polis as it developed in Greek civilization is it was designed for areas such as private, public, religious functions and buildings. It was often used in the Iron age development for public buildings. Hoped that helped.~
Step-by-step explanation:
The scatter plot shows the amount of sunlight some tomato plants received and the amount of each plant grew
Answer:
Option D
Step-by-step explanation:
The complete question is attached herewith.
Also the options for the same are as follows -
What is the meaning of the slope of the trend line shown on the scatterplot?
A A plant grows about 3 inches for every 2 hours of sunlight it receives.
B A plant grows about 2 inches for every 3 hours of sunlight it receives.
C A plant grows about 3 inches for every 1 hour of sunlight it receives.
D A plant grows about 1 inch for every 3 hours of sunlight it receives.
Solution
If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.
At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.
Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.
Hence, option D is correct
A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 12 birthstones be
arranged around the bracelet?
O 10!
11!
O 12!
Answer:
10
Step-by-step explanation:
I think I hope this helps
Which expression is equivalent to
Answer:
[tex]-12(3x - \frac{3}{4} ) = -36x + (\frac{3*12}{4}) = -36x + (3*3) = -36x + 9[/tex]
option 4
HELP ME NOW I NEED HELP
Zeros:
x = -11
x = 11
Positive zero: 11
Worth 38 points!!
What is the area of this figure?
Enter your answer in the box.
units2
Answer:54
Step-by-step explanation: It’s in the picture
Convert 81° to radians.
Answer: 9π/20 radians
How to: Convert from degrees to radians using the ratio π/180 .
Have a great day !
Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A 0.49
B. O 0.444
c. O 0.49
D. 0.444
Answer:
.....Your answer is D
...
.
1/2x6=?
whats the answer
Answer:
3
Step-by-step explanation:
Answer:
1/2x6=3
Step-by-step explanation:
i hope this helps :)
What is the radius of D?
16 cm
8 cm
32 cm
4 cm
Answer:
answer is 16 cm =8 cm
8 cm = 4 cm
32 cm = 16 cm
4 cm = 2 cm
i need help solving this
Answer:
y= - 2/3x + 3
There are 134 birds in the aviary shown in the diagram what is the number of birds per cubic yard for this aviary
if the diagram is 5 x 12 x 9 yards
then multiply all 3 numbers
then its 540 cubic yards
then its 134 ÷ 540 which = 0.2481481481
so the answer is .25
Whats the answer to this?
Answer:
option D
Step-by-step explanation:
:)
Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?
Answer:
B
Step-by-step explanation:
Not much to explain
c(n) = -6(-1/3)^n-1 Which is the 2 or term of the succession?
Answer:
the first term will be n=1 and the second term is n=2
Step-by-step explanation:
Hope this is Helpful! :)
Have a nice day!
Choose the most appropriate answer.
"HEIGHT(50 inches)," "HEIGHT(50)," and "H(50)"all represent which of the
following?
O
A. The height of an object given a length of 50 inches.
B. The height of an object with area 50 inches.
C. The height of 50 inches.
Answer:
The answer its A:
Step-by-step explanation:
I hope its correct.
Elijah earns $200 for 8 hours of work.What is the rate (in dollars per item)
Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a and 5b are like terms, so they can be combined. Is Rosa correct? Is Tiffany correct? Why or why not?
please help =)
Answer:
Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.
Step-by-step explanation:
what is (3 + 12) - 3² + 8 · 2 ÷ 4 ?
(please show how/ show work)
Answer:
10
Step-by-step explanation:
(3 + 12) - 3² + 8 · 2 ÷ 4
15 - 9 + 16 : 4
6 + 4
10
tudents in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Answer:
A, D, E
Step-by-step explanation:
GOT IT RIGHT ON EDGE
The true statement about the histogram are
(a) the median and the mean are approximately equal(d) the histogram would have an approximately normal curve(e) there are more data elements between 6 and 9.How to interpret the histogram?The dataset is given as:
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Using a statistical calculator, we have the following summary:
Mean = 7.43
Median = 7.5
Notice that the median and the mean are approximately equal
i.e. 7.43 ≈ 7.5
When the mean and the median are equal, the histogram would have an approximately normal curve
Also, when the dataset is sorted, we have:
5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10
Notice that there are more data elements between 6 and 9.
Hence, the true statement about the histogram are (a), (d) and (e)
Read more about histograms at:
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Andrea tiene 40 dulces y los reparte entre sus seis amigos Cuántos dulces Le tocará a cada uno
Answer:
This is an english server.
Step-by-step explanation:
Respuesta :
siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete
Espero que te sirba
Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
√10
Provide one example of the complex number, n.
A = J → 2 + 6i
B = F →75
C = H → -3 - i
D = I → 1 + i
E = G → 5 + 5i
these are my matching pairs
Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
Let n be x+yi
So
√(a²+b²+2²+6²)=3√10√a²+b²+40=3√10a²+b²+40=90a²+b²=50Minimum value is 5+5i as 5²+5²=50
HELP PLEASE!!!!!!!!!!!!!
Answer:
2
Step-by-step explanation:
Does (7, 8) make the equation y = x + 5 true?
Answer:
..
Step-by-step explanation:
no the correct point would be (7,12)
7x1=7
7+5=12
Answer:
nop0e
Step-by-step explanation:
Bailey ran 1 mile and 14 yards.How many total feet did bailey run?
A.1,774 feet
B.5,280 feet
C.5,294 feet
D.5,322 feet
Answer:
D. 5,322
Step-by-step explanation: 5280 feet in 1 mile, 42 feet in 14 yards
Answer:
D: 5,322
Step-by-step explanation:
There are 5280 feet in a mile and 42 feet in 14 yards add them and you get 5,322
Eric’s father works two part-time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric’s father work each afternoon? Make a tape diagram to represent the problem and solve.
i hate word problems TvT
Which net represents this rectangular prism?
Answer:
The top right net would
Hope this helps!
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
The net in option A represents the rectangular prism.
Option A is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The rectangular prism has 6 faces.
The net in option A represents the rectangular prism.
Thus,
The net in option A represents the rectangular prism.
Option A is the correct answer.
Learn more about prism here:
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