Answers
Answer:
D. 8
Step-by-step explanation:
Draw segment CQ which will be perpendicular to tangent PR.
So, triangle CQR will be right angled triangle right angle at Q.
Let radius of the circle be r.
Therefore,
CQ = CS = r
By Pythagoras Theorem:
[tex] {(r + 9)}^{2} = {r}^{2} + {15}^{2} \\ \\ {r}^{2} + 18r + 81 = {r}^{2} + 225 \\ \\ 18r = 225 - 81 \\ \\ 18r = 144 \\ \\ r = \frac{144}{18} \\ \\ r = 8[/tex]
Related Questions
6y = 12x + 36
15y = 45x + 60
The system has no solution
The system has exactly one solution
The system has infinitely many solutions
Answers
Equation 1: 6y = 12x + 36
Equation 2: 15y = 45x + 60
Solve equation 1 for y by dividing both sides by 6 to get: y = 2x + 6
Replace y in equation 2:
15(2x + 6) = 45x + 60
Simplify:
30x + 90 = 45x + 60
Subtract 45x from both sides:
-15x + 80 = 60
Subtract 90 from both sides
-15x = -30
Divide both sides by -15:
X = 2
Now replace x in the first equation and solve for y:
6y = 12(2) + 36
6y = 24 + 36
6y = 60
Divide both sides by 6
Y = 10
The solution is x = 2, y = 10
The answer is there is only one solution.
CHECK MY ANSWERS PLEASE!!!
Answers
Answer:
Slope B is greater than Slope A
Slope A and B have equal y intercepts
Step-by-step explanation:
Function A is y = 2x + 4
Function B is y = 3x + 4
Write 3+5/10+6/100+8/1000 as a decimal
Answers
Answer:
3.568
Step-by-step explanation:
3+0.5+0.06+0.008=3.568
Can a negative number of hard drives be produced?
Answers
Answer:
sooo sory because I did not know answer
How many times larger is venus than mars ?
Answers
Answer:
Size of Venus than mars = 0.85 times (Approx.)
Step-by-step explanation:
Given:
Volume of Venus = 9.4 x 10¹¹
Volume of Mars = 1.1 x 10¹²
Find:
Size of Venus than mars
Computation:
Size of Venus than mars = [9.4 x 10¹¹] / [1.1 x 10¹²]
Size of Venus than mars = 0.85 times (Approx.)
5 - 3(7x + 8)
It tells me to simply each expression and then this is the expression.
Answers
Answer=
!!
19-21x
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{5 - 3(7x + 8)}\\\\\large\text{DISTRIBUTE -3 WITHIN the PARENTHESES}\\\large\textsf{5 - 3(7x) + (-3)(8)}\\\large\textsf{-3(7x) = -21x}\\\large\textsf{-3(8) = -24}\\\large\textsf{= \underline{5 - 21x - 24}}\\\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{(-21x) + (5 - 24)}\\\large\textsf{-21 does NOT have any LIKE TERMS so we could leave it the same}\\\large\textsf{5 - 24 is the only LIKE TERM pair}\\\large\textsf{5 - 24 = -19}\\\large\textsf{-21x = -21x}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\textsf{\bf -21x - 19}}}}\huge\checkmark[/tex]
[tex]\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If a square has sides that equal 5 meters, what is the perimeter?
Answers
You are to act as a business owner and create a flyer to advertise one single item. As a student you will calculate how much the item will cost to a customer including the sales tax given a sales tax rate of 7%
Answers
Answer:
total cost = sell price + (sell price * 0.07)
A scale drawing for an apartment is shown below. In the drawing, 2cm represents 3m. Assuming the bedroom is rectangular, find the area of the real bedroom.
Answers
4 x 8 = 32 cm^2
If 2cm = 3m
Then 3/2 is 0.5
32 x 0.5 = 16
32 + 16 = 48m^2
BRAINLIEST! HELP! Please help me! I NEED PART D AND E! I’m so lost :(
If you can show your work so I understand that would be awesome! Thanks so much!!
Part A-The pyramids have always fascinated Kristina, so she wants to build to model pyramids to put on her mantle. She wants her model of Khufu’s pyramid to have a volume of 73.5 inches and a height of 4.5 inches. What would the side length of the base of the pyramid be is this a rational or irrational? Why?
Part B- The volume of Khafre’s pyramid is about 9/10 the volume of Khufu‘s pyramid. If Kristina wants to make the second model pyramid so it’s volume is 9/10 of the volume of the first model pyramid, what volume should she make the second model pyramid?
Part C- if the height is 4.41 inches and the volume is the volume found in Part B, what will the side length of the pyramids base be? Is the number rational or irrational? Why?
Part D- for the model to be scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu‘s pyramid to scale? If not, is it close?
Part E- Is the model of Khafre’s pyramid to scale? If not, is it close?
Answers
Part A
Given:
Volume of square pyramid = 73.5 cubic inches
height of square pyramid = 4.5 inches
To find:
1)Side length of square pyramid.
2)if side length of square pyramid is rational or irrational
Steps:
1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]
Side length = [tex]\sqrt{\frac{3*73.5}{4.5} }[/tex]
Side length = [tex]\sqrt{\frac{3*73.5*10}{4.5*10} }[/tex] (multiplying both sides to make it a whole number)
Side length = [tex]\sqrt{\frac{3*735}{45} }[/tex]
Side length = [tex]\sqrt{\frac{735}{15} }[/tex] (3 gets canceled out)
Side length = [tex]\sqrt{49}[/tex]
Side length = 7 inches
Therefore, the side length of the square pyramid is 7 inches long
2) 7 is a rational number, so the side length of the square pyramid is a rational number.
It is a rational number because,
it can be written in the form p/q, where
1) q [tex]\neq[/tex]0
2) p and q are co-prime
3) p and q are integers
Part B
Given:
Volume of Khafre's pyramid = 9/10 of Khufu's pyramid's volume
Volume of Kristina's first pyramid = 73.5 cubic inches
To find:
Volume of Kristina's second pyramid
Steps:
Volume of Kristina's second pyramid = 9/10 the volume of Kristina first pyramid
Volume of second pyramid = [tex]\frac{9}{10}*73.5[/tex]
Volume of second pyramid = 9 [tex]*[/tex] 7.35
Volume of second pyramid = 66.15 cubic inches
The volume of the second pyramid should be 66.15 cubic inches
Part C
Given:
Height of pyramid = 4.41 inches
Volume of pyramid = 66.15 cubic inches
To find:
1) Side length of pyramid
2) if the side length is rational or irrational
Steps:
1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]
Side length = [tex]\sqrt{\frac{3*66.15}{4.41} }[/tex]
Side length = [tex]\sqrt{\frac{3*66.15*100}{4.41*100} }[/tex] (multiplying both sides to make it a whole number)
Side length = [tex]\sqrt{\frac{3*6615}{441} }[/tex]
Side length = [tex]\sqrt{\frac{6615}{147} }[/tex] (3 gets canceled)
Side length = [tex]\sqrt{45}[/tex]
Side length of pyramid is [tex]\sqrt{45}[/tex] inches
2) [tex]\sqrt{45}[/tex] cant be written in the form of a fraction, so it is an irrational number
(if u want i can explain this more)
Part D
Given
Height of model pyramid = 4.5 inches
Height of Khufu's pyramid = 755.75 feet (had to search the internet for the answer, so I am not sure if it is correct)
Side length of model pyramid = 7 inches
Side length of Khufu's pyramid = 481.4 feet (had to search the internet for the answer)
To find:
1)If the model is to scale with Khufu's pyramid
2) If the model is close to scale with Khufu's pyramid
Steps:
1) First lets find the ratio of the height to the side length of the model
Ratio = 4.5 in : 7 in
= 45 : 70
= 9 : 14
= 0.6428
Now lets find the ratio of the height to the side length of Khufu's pyramid
Ratio = 481.4 feet : 755.75 feet
= 5776.8 in : 9069 in
= 0.6369
Therefore the model is not to scale with Khufu's pyramid
2) Yes the scale is close
Part E
Given:
Height of model pyramid = 4.41 inches
Height of Khafre's pyramid = 448 feet
Side length of model pyramid = [tex]\sqrt{45}[/tex] inches
Side length of Khafre's pyramid = 706 feet
To find:
1) If the model is to scale with Khafre's pyramid
2) If the model is close to scale with Khafre's pyramid
Steps:
1) First lets find the ratio of the height to the side length of the model pyramid,
Ratio = 4.41 in : [tex]\sqrt{45}[/tex] in
= 4.41 : 6.7082
= 0.6574
Now lets find the ratio of the height to the side length of Khafre's pyramid
Ratio = 448 ft : 706 ft
= 5376 in : 8472 in
= 0.6345
Therefore the model is not to scale with Khafre's pyramid
2) No, the model is not close to scale, (it depends by what is meant by close, for me its 0.01)
Happy to help, and I hope you learnt something from this answer that will help you in the future
If you didn't understand any topic pls ask
PLEASE HELP ME I LITERALLY HAVE NO IDEA HOW TO DO THIS!!!!!!!!!!!!!!!!!!
Answers
Answer:
24
Step-by-step explanation:
First, find the total volume of the shape by multiplying all side lengths:
1 * 2 * (3/2) = 3 cubic cm
A cube with side length of 1/2 has a volume of (1/2)(1/2)(1/2) = 1/8 cubic cm
If the total volume is 3 cubic cm, how many 1/8 cm cubes would fit?
3 / (1/8) = 24 cubes
The measure of ∠CBD is 45% of the measure of ∠ABC. Find the value of x. due today
Answers
Answer:
45°
Step-by-step explanation:
I assume you meant 45°, not 45%.
90-45=45
If it is actually 45%, then the answer would be:
90x.55=49.5°
Which expression does the model represent?
0
1
1
8
2
8
3
8
4
8
5
8
7
8
colos
Answers
Which function has zeros at x = -2 and x = 5?
Оооо
f(x) = х2 + 2x – 10
f(x) = х2 - 2x – 10
f(x) = х2 + 3х – 10
f(x) = х2 – 3х – 10
Answers
HELP as fast as possible plzz
-3.5u=-14
Answers
Answer:
4
Step-by-step explanation:
Answer:
u=4
Step-by-step explanation:
are we solving for "u" ??
-14/-3.5=4
u=4
What trig function would I use to solve for X?
Answers
Answer:
Adjacent
[tex] \div [/tex]
Opposite
find difference between 03:55 and 05:45
Answers
Difference between.....
Step-by-step explanation:
answer is 2
...........
what is: Divide
[tex]2 \div 27 = [/tex]
[tex]3 \div 68 = [/tex]
[tex]4 \div 96 = [/tex]
[tex]8 \div 96 = [/tex]
[tex]3 \div 84 = [/tex]
[tex]6 \div 89 = [/tex]
[tex]5 \div 90 = [/tex]
[tex]7 \div 84 = [/tex]
[tex]6 \div 96 = [/tex]
Answers
Answer:
0.074
0.044
0.041
0.083
0.0357
0.0674
0.0556
0.0833
0.0625
Answer:
Step-b0.074
0.044
0.041
0.083
0.0357
0.0674
0.0556
0.0833
0.0625y-step explanation:
Please help me solve these are quadratic equations: I
Answers
Answer:
[tex]\boxed {\boxed {\sf a= 3, b=7, c=2}}[/tex]
[tex]\boxed {\boxed {\sf Y-intercept = c }}[/tex]
[tex]\boxed {\boxed {\sf Minimum}}[/tex]
Step-by-step explanation:
a. a, b, c
Quadratic equations in standard form are written as:
[tex]f(x)= ax^2+bx+c[/tex]
The exponents are listed from greatest to least. The quadratic is already in this form, so match up the variables and values in the equation.
[tex]f(x)= 3x^2+7x+2[/tex]
[tex]a=3 \\b=7 \\c=2[/tex]
b. Y-intercept
The y-intercept for a quadratic is c.
You can also substitute 0 in for x, because the y-intercept occurs when the quadratic crosses the y-axis (at x=0).
[tex]f(0)= 3(0)^2+7(0)+2[/tex]
[tex]f(0)=3(0)+7(0)+2\\f(0)= 0+0+2\\f(0)=2[/tex]
We know that c=2, so the y-intercept is c.
c. Maximum/minimum
The entire quadratic is positive, so the quadratic opens up and has a minimum.
Manipulate the radius and height of the cone, setting different values for each. Record the radius, height, and exact volume of the cone in terms
of m). The first one has been done for you. Also calculate the decimal value of the volume, and verify that it matches the volume displayed by the
tool (You might see some discrepancies in the tool due to rounding of decimals.)
Answers
Answer:
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= 2000π unit³
Volume= 6284 unit³
Step-by-step explanation:
The decimal value of the volume already given= 600π
The decimal value of the volume already given= 600*3.142
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= πr²h/3
Volume= 11²*12/3 *π
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume = πr²h/3
Volume= 4²*6/3(π)
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= πr²h/3
Volume= 20²*15/3(π)
Volume= 2000π unit³
Volume= 6284 unit³
Hope this helps, best of look to all who needed help!!
Please please need help with this one having a hard time with it.
Answers
What’s the answers for these questions and how do you solve it?
Answers
Which is the solution to the inequality?
8
15
b
o b<21/1
b>27/13
b<3 775
b>3 73
Answers
Answer:
D) [tex]b>3\frac{2}{15}[/tex]
Step-by-step explanation:
In NTUV, the measure of N=90) UV = 8.7 feet, and VT = 3.6 feet. Find the measure of to the nearest degree.
Answers
Answer:
5
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
-4x + 21 > -3
What could x be??
Answers
Answer:
x < 6
Step-by-step explanation:
subtract 21 on both sides
-4x > -24
divide both sides by -4 and flip the sign (bc you're dividing by a negative)
x < 6
Mr. Garcia has 150 flair pens. 20% of the flair pens are red. How many flair pens
are not red?
_ dont steal points! _
pls answer ..
Answers
Answer: 120
Step-by-step explanation:
100-20 is 80. 80 percent are not red. Find 80 percent of 150. That is 120?
20% is 0.20
0.20 of 150 —> .20 x 150 = 30
20% of 150 is 30, so 30 flair pens are red.
150-30=120, so 120 flair pens are not red.
try, check, and revise or write an equation to solve
concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery. For a function, 400 seats were sold for a total of $ 2,888. How many seats of each type were sold?
Answers
Answer:
156 seats were sold at the store and 244 at the gallery
Step-by-step explanation:
Let the amount of stalls be x
Let the price per ticket for gallery be y
If 400 seats were sold in total, then;
x+y = 400 ... 1
If concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery with a total of $2888, then;
8x + 6y = 2888 ....2
Solve both equation simultaneously
x+y = 400 ... 1 * 8
8x + 6y = 2888 ....2 .*1
__________
8x+8y = 3200 .
8x + 6y = 2888
Subtract
__________
8y - 6y = 3200 - 2888
2y = 312
y = 312/2
y = 156
Since x = 400 - x
y = 400 - 156
y = 244
hence 156 seats were sold at the store and 244 at the gallery
find the value of each variable or indicated measures
Answers
Answer:
Step-by-step explanation:
To find the angle measure of an angle inside an arc then you multiply 1/2 by the sum of the 2 intercepted arcs.
x=1/2(42+56)
x=1/2(98)
x=49
Find the missing height in the diagram.
4 ft
81
12 ft
feet
3
64
16 ft
Answers
Answer:
2feet at the least man
Answer:
4ft
Step-by-step explanation:
i did 12ft - 8ft which would of gotten the length of the bottom length.
William went shopping for a new phone because of a sale. The store was offering a 15% discount. If the price on the tag was $41, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answers
Answer:
*WILLIAM AFTON*
Real Answer:
38 dollars and 11 cents.