Answers
Answer:
As radius is perpendicular to tanget ,
BC is perpendicular to AB
By pythagoras theorem:
x² = (9 + x)² - 15²
x² = 81 + 18x + x² - 225
18x = 225 - 18
x = 207/18 = 11.5
Related Questions
An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is 15 stories high. If all of the modules were divided evenly among the number of stories, how many modules would be on each floor? How many different rectangular prisms could be made from that number? If all of the modules were divided evenly there would be modules on each floor. different rectangular prisms could be made from the number of modules on each floor: × 1 × 1 and 2 × × 1.
Answers
Answer:
Part 1. 10 modules per floor
Part 2. Two different rectangular prism
Step-by-step explanation:
Let
x ----> the number of modules
y ---> the number of stories
we have
x=150\ modules\\y=15\ stories
Divide the number of modules by the number of stories
so
\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}
Please answer !!!!!!!! Will mark brainliest whoever answers correctly !!!!!!!!
Answers
Answer:
g(q) = 5/8q
Step-by-step explanation:
-7q + 12r = 3q - 4r
Add 4r to each side
-7q + 12r+4r = 3q - 4r+4r
-7q +16r = 3q
Add 7q to each side
-7q+7q +16r = 3q+7q
16r = 10q
Divide each side by 16
16r/16 = 10q/16
r = 5q/8
g(q) = 5/8q
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2.1), m=5
Answers
Answer:
y - y1 = m (x - x1)
y - 1 = 5 ( x - (-2))
y - 1 = 5(x+ 2)
y - 1 = 5x +10
Step-by-step explanation:
I don’t understand this
Answers
Answer:
-5 or 5
Step-by-step explanation:
The n is in absolute value bars. So n could either be -5 or 5
insert three arithmetic means between 25 and 9
Answers
Answer:
21, 17, 13
Step-by-step explanation:
Find the mean of the 2 given values
mean = [tex]\frac{25+9}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17
Noe find the mean of 25 and 17 and 17 and 9
mean = [tex]\frac{25+17}{2}[/tex] = [tex]\frac{42}{2}[/tex] = 21 and
mean = [tex]\frac{17+9}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13
Thus the 3 means are 21, 17 and 13, that is
25, 21, 17, 13, 9
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A: x = 0
B: y = 0
C: x = 1
D: y = 1
Answers
Answer: y+0
As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.
Step-by-step explanation:
If 18√8- 8√18 = √n, what is n?
Answers
Answer:
1440
Step-by-step explanation:
[tex]18 \sqrt{8} - 8 \sqrt{18} = \sqrt{n} \\ {18 \sqrt{8} }^{2} - {8 \sqrt{18}}^{2} = n \\ 2592 - 1152 = n \\ 1440 = n[/tex]
A market researcher selected 400 people at random from a group of people who indicated that they liked a certain comic book. The 400 people were then shown a television series based on the comic book and then asked whether they liked or disliked the television series. Of those surveyed, 90% said they liked the television series. Which of the following inferences can be appropriately drawn from this survey result?
Most people who like the comic book will like the television series.
Most people who dislike the comic book will dislike the television series.
At least 90% of people who watch the television series will like it.
At least 90% of comic book fans will like the television series.
Answers
Answer:
Most people who like the comic book will like the television series.
Step-by-step explanation:
The result says that 90% of the people who likes the comic book also likes the television series which indicates that most people who liked the book will also like the television series.
Do the functions have the same concavity?
f(x)=-3x^(2)+12x-32
A. Yes, f and g are both concave down.
B. Yes, f and g are both concave up.
C. No, f is concave up and g is concave down.
D. No, f is concave down and g is concave up.
Answers
Answer:
A) Yes, f and g are both concave down.
Step-by-step explanation:
Evaluate
4!+3!/2!
8
10
15
Answers
Answer:
=27
Step-by-step explanation:
4!+3!2
!=24+3!2!
=24+62!
=24+62
=24+3
=27
Hope this helps.
Answer:
15
Step-by-step explanation:
Plez help with mathamaticas
Answers
A. is correct! Good job!
The correct answer is D. I found the equation, y = 6x + 1 and solved each one till it fit. y + 5 = 6(x + 1)
y + 5 = 6x + 6
-5 -5
y = 6x + 1
pls help me find the lateral surface area!!
Answers
Answer:
88m^2
Step-by-step explanation:
In order to find the lateral surface area of a cylinder, you must use this formula: 2πrh. In this problem we are given the diameter and height. Divide the diameter by 2 to get the radius and plug the radius and height into the formula. With our equation that we just created, we get the answer 87.96. 87.96 rounded to the nearest tenth is 88.
Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?
A. 2 inches to 1 foot
B. 1 inch to 2 feet
C. 2.5 inches to 1 foot
D. 1 inch to 5 feet
Answers
Answer:
B. 1 inch to 2 feet
Step-by-step explanation:
from 2.5 inches by 2 inches to 5 feet by 4 feet
hence.
the scale factor is "2 inches to 4 feet" which is 1 inch to 2 feet
I will give brainliest answer. Minneapolis, Minnesota and Portland, Oregon have very similar latitudes. (Latitude measures how far north or south a place is, which in turn affects the temperature.) The histograms below show the daily high temperatures (in degrees Celsius) that were recorded during July 2013 in each city.
Which pieces of information can be gathered from these histograms? Choose all answers that apply:
A)
It was warmer in Minneapolis every day.
B)
Minneapolis had the coldest daily high temperature of these two cities.
C)
None of the above
Answers
Answer:
The correct answer should be B
Answer:
b
Step-by-step explanation:
khan
On Monday, Jake could lift 40 lbs. One month later he could lift 85 lbs. What is the percent of change in the number of pounds he can lift?
Answers
Answer:
112.5 percent
Step-by-step explanation:
Change: 45 lbs.
45/40
1.125
1.125x100=112.5 percent
1) Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answers
Answer:
The radius of the base of the small cone is 3 feet
Step-by-step explanation:
The question requires the determination of the radius of the smaller cone
Therefore, height of the larger cone = 10 feet
Base diameter of the larger cone = 10 feet
Height of horizontal plane of small plane above base of larger cone = 4 feet
Hence the height of the small cone = 6 feet
Therefore, by similar triangles, and tangents we have;
[tex]\frac{Height \, of \, small \, cone}{Height \, of \, larger\, cone} =\frac{Diameter \, of \, base \, of \, small \, cone}{Diameter \, of \, base \, of \, larger \ cone} =\frac{6}{10} = \frac{x}{10}[/tex]
Where:
x = The diameter of the base of the small cone
Therefore;
[tex]{x} = \frac{6}{10} \times 10 = 6 \, feet[/tex]
The radius of the base of the small cone = half the diameter of the base of the small cone
∴ The radius of the base of the small cone = (6 feet)/2 = 3 feet.
Answer:
the radius would be 3
Step-by-step explanation:
so what it's saying si there;s a cone with diameter 10 and height 10, the 4 feet above the bottom of the cone is the base of the smaller cone. The height of the smaller cone becomes 6, making the diameter 6 as the ratio becomes 6:6, and radius is diameter/2 becoming 3
square 20cmx20xm
What is the volume of your box?
What different volumes can you make by
varying the size of the squares you cut out?
What is the maximum possible volume of this
type of box that can be made from a 20cm by
20cm square of paper?
Answers
Answer:
8,000
Step-by-step explanation:
Which of the following are alternate interior angles? Select all that apply.
A. ∠5 and ∠4
B. ∠6 and ∠5
C. ∠2 and ∠8
D. ∠8 and ∠1
E. ∠3 and ∠5
Answers
Answer:
the alternative interior angles are c and e
If m is 21 inches, j is 28 inches, and ∠K measures 90°, then find k using the Law of Cosines. Round your answer to the nearest tenth.
35 in
49 in
1,225 in
2,401 in
Answers
Answer:
a) 35
Step-by-step explanation:
k^2 = m^2 + j^2 - 2(m)(j) cosK
k^2 = 21^2 + 28^2 - 2(21)(28)(cos90)
k^2 = 441 + 784 - 2(588)(0)
k^2 = 1225 - 0
k^2 = 1225
√k^2 √1225
k = 35
Answer:a 35
Step-by-step explanation:
took the test
Apply the distributive property to factor out the greatest common factor.
21e + 35
Answers
Answer:
7(3x+5)
Step-by-step explanation:
When factoring out the GCF you want to find the largest number that can divide into both 21 and 35. The largest number is 7 so you divide 7 from 21e and 35.
Answer:
7(3e+5)
Step-by-step explanation:
Isosceles triangle ABC, with AB=BC, has a height, DB, of 9 inches. Angle A measures 60 degrees. How long is AC?
A. 20 inches
B. 10.40 inches
C. 18 inches
D. 9 inches
Answers
Answer:
A. 20 inches
Step-by-step explanation:
++=15
++=9
++=30
*-= ?
(The answer is not 15)
What’s the answer to the question mark?
Answers
The oblique pyramid has a square base.
What is the volume of the pyramid?
2.5 cm3
5 cm3
6 cm
7.5 cm
3.75 cm
2 cm
Answers
Answer:
B. 5 cm3
Step-by-step explanation:
The volume of the oblique pyramid with a square base is 3.33 cm³.
How to find the volume and base's area of a right rectangular pyramid?
Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
We are given that;
the base is about 2 cm long and that the height is about 2.5 cm long.
Now,
Using these values, we can estimate the volume as:
V ≈ (1/3) × Base Area × Height
V ≈ (1/3) × (2 cm)² × 2.5 cm
V ≈ (1/3) × 4 cm² × 2.5 cm
V ≈ 10/3 cm³
V ≈ 3.33 cm³
Therefore, an approximate volume of the pyramid will be 3.33 cm³.
Learn more about right rectangular pyramid here:
https://brainly.com/question/27234847
#SPJ7
what is the yintercept of the function f(x) + -2/9x + 1/3?
Answers
Answer:
+1/3
....................
Which of the following are polynomials?
Answers
What is the volume of the cylinder? Use 3.14 for π, and round your answer to the nearest tenth. Enter your answer in the box.
Answers
Answer:
The equation to solve the volume of a cylindar is Pie times the radius squared times the height of the cylindar. The radius is distance from the center of the circle outwards.
Answer:
The answer is 235.5
Step-by-step explanation:
application of a cubic. please help!
Answers
Answer:
a. 28.
b 20.78.
Step-by-step explanation:
a. f(x) = 0.001(x - 10)(x + 20)(x - 40)
When x = 50
Height = f(40) = 0.001(50-10)(50+20)(50-40)
= 0.001(40*70*10)
= 0.001 * 28,000
= 28 units.
b.
Expanding the function we get
f(x) = 0.001(x - 10)(x^2 - 20x - 800)
f(x) = 0.001(x^3 - 30x^2 - 600x + 8000)
f(x) = 0.001x^3 - 0.03x^2 - 0.6x + 8
Finding the derivative
f'(x) = 0.003x^2 - 0.06x - 0.6
This is zero for maxm/minm values:
0.003x^2 - 0.06x - 0.6 = 0
x = 27.32, - 7.32.
The values of the heights corresponding to these values of x are:
0.001(27.32-10)(27.32+20)(27.32-40)
= -10.39. and
0.001(-7.32-10)(-7.32+20)(-7.32-40)
= 10.39.
So the distance between A and B = 10.39 - (-10.39)
= 20.78.
CaN sOmEoNe HeLp Me PlZ :)
Answers
Answer:
6
Step-by-step explanation:
divide the shape into a triangle and square
the triangle area is 1/2hb= 1/2 2*2 =2
the square are is a ^2 = 2^2 = 4
4+2 =6
Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of
$32 on stickers. How many packs did she buy?
Answers
Answer:
8 packs
Step-by-step explanation:
$4 = 1 pack
$32 = ?
$32 = $32/$4
$32 = 8 packs
If you have 1,000 lbs. of plastic resin and need to mix 4% of colorant to it, how much colorant would you need to
add?
A. 50 lbs. B. 80 lbs. C. 20 lbs. D. 40 lbs.