Answer:
From one point, you can draw two tangents to a circle. These two tangents will be equal.
Step-by-step explanation:
7x - 24 = 57 - 2x.
Rearrange the numbers (by adding 2x and 24 on both sides), we get:
7x+2x = 57 + 24
9x = 81.
x = 9.
Length of PQ = 57-2x = 57 - 18 = 39
If PQ and PR are tangent to circle S, then the value of PQ is 39.
What is tangent?"A line that touches the circle at a single point is known as a tangent to a circle."
What is circle?"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."
P is the exterior point of a circle.
PQ and PR are the tangents to circle S.
According to theorem,
The lengths of the tangents drawn from a same external point to a circle are always equal.
7x - 24 = 57 - 2x
7x + 2x = 57 + 24
9x = 81
x = 9
PQ = 7x - 24
PQ = 7(9) - 24
PQ = 63 - 24
PQ = 39
Hence, the value of PQ is 39.
To learn more about tangent of a circle here
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Does the function model exponential growth decay? g(x)= 1/3 • (2/9)
Answer:
Decay because 1/3 is between 0 and 1
Answer:
decay
Step-by-step explanation:
WILL GIVE BRAINLIEST!
A custom-illustrated sign or banner can be commissioned for a cost of $20 for the material and $12.50 per square foot for the artwork. The equation that represents this cost is given by y = 12.50x + 20, where y is the cost and x is the number of square feet in the sign.
Graph this equation for values of x from 0 to 20.
The point (5, 82.5) is on the graph. Select a sentence that describes the meaning of this ordered pair.
A. It costs $5 for a custom sign 82.5 ft2 in area.
B. It costs $12.50 for a custom sign 20 ft2 in area.
C. It costs $20 for a custom sign 12.50 ft2 in area.
D. It costs $82.50 for a custom sign 5 ft2 in area.
E. It costs $270 for a custom sign 20 ft2 in area.
Answer:
D
Step-by-step explanation:
12.50 x 5 = 62.5
62.5 + 20 = 82.5
Solve for x in a triangle. Round your answer to the nearest hundredth
Answer:
x= 8.69
Step-by-step explanation:
tanx = opp/ adj
tan44° = x/9
x= tan44° * 9
*make sure your calculator is in degree mode
x= 8.69
1. Both of the equations shown have the same solution when solved for x. What is the value of k? Show or explain all your work.
Captionless Image
Your answer
Answer:
1
Step-by-step explanation:
you need to multiplau with is 12x+9-42
Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?
Answer:
Number of miles= 13
Step-by-step explanation:
Giving the following information:
He is receiving total contributions of $65 plus $20 for every mile he walks.
To calculate the number of miles to reach $325, we need to use the following formula:
Total collection= fixed contribution + variable contribution per mile*number of miles
325= 65 + 20*number of miles
260/20 = number of miles
number of miles= 13
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
What are the odds that the spinner lands on red or the number 4?
4
4
2
33
Answer:
5 to 3
Step-by-step explanation:
The desired outcomes are 4 or red.
Here are all the possible outcomes:
1 red
1 red
1 red
2 green
3 blue
3 blue
4 yellow
4 yellow
The desired outcomes are in boldface. There are 5 desired outcomes.
There are 3 outcomes that are not desired.
odds of 4 or red = 5 to 3
Answer:
5/8
Step-by-step explanation:
If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters
Answer:
the length of PQ is 8.9 m
Step-by-step explanation:
The computation of the length of PQ in meters is shown below:
Here we applied the Pythagoras theorem
c² = a² + b²
= 4² + 8²
= 16 + 64
= 80
Now square root to the both sides
c = √80
= 8.94427191
= 8.9 m
Hence, the length of PQ is 8.9 m
Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...
Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
Find the area of the polygon. Please help.
Answer:
40 units
Step-by-step explanation:
The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40
Hey there!
The correct answer is 40 units squared.
We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:
(4 * 5) / 2 = area
20 / 2 = area
10 = area
Now we can multiply it by 4, which gives us 10 * 4 or 40.
Have a terrificly amazing day! :D
5x and x+5 is this equivalent if so explain even if it isn’t still explain lol
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
No it is Not Equivalent
Step-by-step explanation:
5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
Answer:15 ft
Step-by-step explanation:
Given
The total perimeter needed is [tex]40\ ft[/tex]
The available width of the room is [tex]w=5\ ft[/tex]
Suppose l is the length of the room
So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]
Putting values
[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
Hiiooo! Can someone please help ❤️❤️❤️
Answer:
tan x = [tex]\frac{f}{e}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan x = [tex]\frac{f}{e}[/tex]
cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
Combine the like terms to create an equivalent expression. 7n + 4n
Answer:
11n
Step-by-step explanation:
HEEEEEEEEEELPPP I NEED ANSWER HELP
A bakery sold 154 mocha cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
440 bevause 154 is 35 percent of 440
The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.
Given that:
[tex]Mocha = 154[/tex]
From the question, we understand that the bakery sells other cupcakes too.
And Mocha only represents 35% of the total.
This means that:
[tex]Mocha = 35\% \times Total[/tex]
So, we have:
[tex]154 = 35\% \times Total[/tex]
Make Total the subject
[tex]Total = 154 \div 35\%[/tex]
[tex]Total = 440[/tex]
Hence, 440 cupcakes were sold on that day.
Read more about proportions at:
https://brainly.com/question/11654319
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answer: pretty sure 25 feet
Step-by-step explanation:
The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS
Answer:
your answer will be C. y = x-4
Step-by-step explanation:
hope it helps you...
subtract and simplify 5 6/9 - 2 1/3
Answer:
Your answer should be 3 1/3
Step-by-step explanation:
:)
x^2 - 6x+ 5= -11 number and type of solutions
Answer:
no real solutions
3±32i
Step-by-step explanation:
used quadratic formula
Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?
9514 1404 393
Answer:
24 cm³
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3s²h
where s is the side length of the square base, and h is the height.
V = (1/3)(3 cm²)(8 cm) = 24 cm³
The volume of the pyramid is 24 cm³.
y is less then or equal to 1/2x plus 2
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
The digit 4 has a greater value in because its value is as much as its value in .
Question:
Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.
The digit 4 has a greater value in because its value is as much as its value in
Answer:
The digit 4 has a greater value in because its value is as much as its value in 0.04
Step-by-step explanation:
Given
0.04 and 0.004
Required
Which has a greater value of 4
In 0.04, the value of 4 is hundredths i.e. 0.01
In 0.004, the value of 4 is thousandths i.e. 0.001
By comparison:
[tex]0.01 > 0.001[/tex]
So, 4 has a greater value in 0.04 than 0.004
I need help on solving these problems.
Answer:
the fist one is A and the second one is D
Step-by-step explanation:
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful
Look at the picture please
Answer:
c=10
Step-by-step explanation:
Hope it helps. Doing all your questions that you send XD
Answer:
10
Step-by-step explanation:
using the pythagorean theory the missing side would be [tex]c^{2}[/tex] bs its the hypotenuse so
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]8^{2} + 6^{2} = c^{2}[/tex]
[tex]64 + 36 = c^{2}[/tex]
[tex]100 = c^{2}[/tex]
and the square root of 100 is 10, which makes your equation
[tex]c = 10[/tex]
PLSSSSSSSS HELPPPPPP ASAPPPPP
In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛
Answer:
37.5%
Step-by-step explanation:
30/80=37.5 percent
Answer:
37.5% of students say English is their favorite subject
Step-by-step explanation:
30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)
0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!
Help I’ll give Brainly est
Answer:
2x is less than 8 or B
Step-by-step explanation:
When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8
NOT A - Reason why it is not a is because 8 is not included in the range of numbers
NOT C
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = [tex]\pi[/tex]r3