A 34-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answers
Answer: 14.6
Step-by-step explanation:
Draw a right triangle such that the building is perpendicular to the ground (which is where the shadow is cast).
Use Pythagorean Theorem to find the length of the shadow (x):
x² + 34² = 37²
x² = 37² - 34²
x² = 213
√x² = √213
x = 14.59
Related Questions
each exterior angle of a regular polygon measures 45 degrees. how many sides does the polygon have
Answers
Answer:
8
Step-by-step explanation:
to find the number of sides when you are given an exterior angle you divide 360 (because that's what all exterior angles equal) by the one exterior angle you were given. in this case 360/45=8
Answer:
8 sides
Step-by-step explanation:
because you use the formula for exterior angles; [tex]\frac{360}{n}[/tex], you plug in the number of sides in the denominator and then divide 360 by n
In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2. If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle? (h + x)2 + (k + y)2 = r2 (x – h)2 + (y – k)2 = r2 (k + x)2 + (h + y)2 = r2 (x – k)2 + (y – h)2 = r2
Answers
Answer:
(x – h)2 + (y – k)2 = r2
Step-by-step explanation:
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle the equation of the new circle
(x – h)2 + (y – k)2 = r2
Based on Pythagorean theorem, and the location of the center of the
circle, (h, k), the equation of the circle is represented by the option;
(x - h)² + (y - k)² = r²How can the equation of the circle be found?
The general form of the equation of the circle is (x - h)² + (y - k)² = r²
Where;
(h, k) = The center of the circle
r = The radius of the circle
A description of the equation of the circle is as follows;
With regard to a location on the edge (circumference), of the circle, (x, y),
where, the center of the circle is (h, k), by Pythagorean the sum of the
square of the length of the horizontal side, (x - h), and the square of the
vertical side (y - k), of the right triangle formed gives the square of the
radius of the circle.
Therefore, the equation of the new circle can be represented by the equation;
(x - h)² + (y - k)² = r²The above equation is the general form of the equation of a circle.
Learn more about the equation of a circle here:
https://brainly.com/question/20863621
The exponential curve of best fit is given as y = 4(7)*. Find the value of y when x= 3.
Answers
Answer:
1372
Step-by-step explanation:
y=4(7)^3
You multiply 7x7x7 which gives you 343
Now you plug that in.
y=4(343)
Multiply it and you get
y=1372
If you wanted to make the graph of y = 7x- 14 steeper, as well as shift the y
intercept of this line up, which equation could you use?
A. y= 5x - 18
B. y = 9x - 10
C. y= 5x – 10
D. y= 9x - 18
Answers
Answer:
Option B: y = 9x - 10.
Step-by-step explanation:
General equation of a straight line in the 2-D plane is given by:
y = mx + c; where m is the slope and c is the y-intercept.
The given equation of the line is y = 7x - 14; where m=7 and c=-14.
To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.
To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!
Which is the approximate difference in the tenths between?
Answers
Answer:
0.4
Step-by-step explanation:
0.2 is too small, and everything above 1.0 is too big, so by default, must be 0.4
The circumference of a circle is 28π inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.
Please help fast
Answers
Answer:
The radius of the circle is 14 inches.
Step-by-step explanation:
How is the circumference of a circle related to its radius?
[tex]\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius})[/tex].
In brief,
[tex]\text{Circumference} = 2\pi\times \text{Radius}[/tex].
For this question,
[tex]\text{Circumference} = 28\pi[/tex], and[tex]\text{Radius}[/tex] needs to be found.Divide both sides of the equation by [tex]2\pi[/tex]:
[tex]\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}[/tex].
[tex]\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14[/tex].
In other words, the radius of this circle is 14 inches.
Use the discriminant to describe the roots of each equation. Then select the best description.
7x2 + 3 = 8x
double root
real and rational root
real and irrational root
imaginary root
Answers
Answer:
imaginary root
Step-by-step explanation:
7x^2 + 3 = 8x
Subtract 8x from each side
7x^2 -8x+ 3 = 8x-8x
7x^2 -8x+3 =0
This is in the form ax^2 +bx+c
The discriminant is b^2 -4ac
a=7 b=-8 c=3
b^2-4ac = (-8)^2 -4(7)(3) = 64 - 84 = -20
Since this is negative, we have imaginary roots
What is the length of each leg of the triangle?
Answers
Answer:
the answer you selected is correct
Step-by-step explanation:
this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two
Find p(2)
Find p(2 or fewer)
Answers
Answer:
P(2)=0.021942 approximately
P(2 or fewer)=0.02711 approximately
Step-by-step explanation:
[tex] P(x)=(n choose x) *p^x * q^{n-x} [/tex]
x is the number of successes desired
p is probability of getting a success per trial
n is the number of trials
q is 1-p
So n=15 and p=.4 here
And you want to know P(2) which means x is 2
Plug in this information
[tex] P(2)=(15 \text{ choose } 2) *.4^2 * .6^{15-2} [/tex]
Just plug into calculator... P(2)=0.021942 approximately
For p(2 or fewer) you just do P(0)+P(1)+P(2)
I already found P(2)
You need to find P(1)
Once you get P(1), add that result to 0.021942.
Try to do part b and I will tell you if you got it right or not.
So P(2 or less) is P(0)+P(1)+P(2)
So to complete this we need to find P(1) and almost forgot P(0)...
We already have P(2).
P(0)=(15 choose 0) *.4^0*.6^(15-0)=0.00047
P(1)=(15 choose 1) *.4^1 *.6^(15-1)=.004702
Now P(2)=0.021942
--------------------------add these
0.027114 approximately
I need help with finding the arc measure of this problem.
Answers
Answer:
180+69=249
I got 180 from the ABC, that is half the circle then + the 69
Can someone please help me wit this
Answers
The eagle is flying at a lower elevation (15 meters) than the gyrfalcon (23 meters)
Can someone please help me out with this question??
Answers
Answer:
Step-by-step explanation:
1176 - 168 =1008 1176 + 1008= 2134
hours:2134 = 3 weeks
hours: 1176 = 2 weeks
I have this question in Geometry that I need help with, can you help me solve it?
Find the coordinates of the midpoint of a segment having the given endpoints.
Q(1, -3), R(11, 5)
Answers
Answer(6,1)
Step-by-step explanation:
you need to use the midpoint formula
What is the absolute value of….
1. |-5|?
2. |13|?
3. |25|?
4.|-7|?
Answers
Answer:
1. 5
2. 13
3. 25
4. 7
Step-by-step explanation:
|-5|=5
|13|=13
|25|=25
|7|=7
Question 10
Jur's car can travel 340 miles on 12 gallons. Jack's car can travel 390 miles on
16 gallons. Which person has the best mileage (miles per gallon) and what is
their mileage?
Answers
Answer:
Jur's car
Step-by-step explanation:
Jur's car's mileage= 340/12=28.3333333333
Jack's car's mileage=390/16=24.375
brainliest if you are satisfied plz
Answer:
Jur 28 1/3 miles per gallon
Step-by-step explanation:
To find the miles per gallon, take the miles driven and divide by the gallons used.
Jur: 340/12 =28.333333 miles per gallon
Jack : 390/16 = 24.375 miles per gallon
Jur has better gas mileage because his number is higher
(50points!!please help!)
Answers
Answer:
21.16
Step-by-step explanation:
First find the tax
16.40 * 9%
16.40 *.09 = 1.476 = 1.48
Then we need to find the tip
16.40 *20%
16.40 *.20 = 3.28
The total is the bill plus tax plus tip
16.40 + 1.48 + 3.28
21.16
What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?
a( -1,-6)
b( -1,6)
c(6,1)
d( -6,-1)
Answers
Answer: option b
Step-by-step explanation:
It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:
[tex](x,y)[/tex]→[tex](-x,-y)[/tex]
Therefore, given the point (1, -6) we can find the image obtained for for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.
Then, the image is:
[tex](1,-6)[/tex]→[tex](-(1),-(-6))=(-1,6)[/tex]
Answer:
The correct answer option is b. ( -1, 6).
Step-by-step explanation:
We are given a point which is rotated 180 degrees counterclockwise about the origin (0, 0). We are to find the coordinates of the image of this point after the rotation.
The rule for rotating a point 180 degrees counterclockwise is:
(x, y) ---> (-x, -y)
So for the given point, the coordinates of the image will be:
(1, -6) ---> (-1, -(-6)) ---> (-1, 6)
What’s the answer?????????????
Answers
Answer:
1) binomial
2) monomial
Step-by-step explanation:
mono-think one
bi-think two
tri-think thee
poly-1 or more
So 1 goes with binomial
and 2 goes with monomial
See if you can figure out 3 and 4
I can check them.
The sum of two numbers is 21.
The second number is six times the first number.
Work out the two numbers.
Answers
Answer:
Pretend that x and y represents the 2 numbers that we need to find.
According to the information, we know that:
x + y = 21
6x = y
Replace y in the first equation with 6x (because they are equal to each other according to the second equation):
x + y = 21
x + 6x = 21
7x = 21
x = 21/7 = 3
Now have two ways to find y, both will give us the same result:
3 + y = 21 ⇔ y = 21 - 3 = 18
6 · 3 = y ⇔ y = 18
So the numbers that we need to find are 3 and 18.
Answer:
3 and 18.
Step-by-step explanation:
If one number is x then the other is 6x.
So, x + 6x = 21
7x = 21
x = 3.
The other number is 21 - 3 = 18.
If f(x) = 3х -2 and g(x) = 2х+4 , find (f - g)(x).
ОА. Эх? - 2х - в
ов. 2x – 3х -2
Ос. х2 +2
OD. зх. -2x+2
Answers
Answer:
(f - g)(x) = x - 6Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
We have f(x) =3x - 2 and g(x) = 2x + 4. Substitute:
(f - g)(x) = (3x - 2) - (2x + 4)
(f - g)(x) = 3x - 2 - 2x - 4 combine like terms
(f - g)(x) = (3x - 2x) + (-2 -4)
(f - g)(x) = x - 6
What is C’ T’ if there was a rotation ?
Answers
Answer: The Answer Is 4) Hope it Helps!
Step-by-step explanation:
some one please help me with these questions please answer any that you know are correct i cant risk any wrong answers
1. Add. (−5x ^4 +6x^2−43)+(6x^4−x^2+12x+12)
express the answer in standard form.
enter your answer in the box
2. ADD (x^3-2x^2+4)+(2x^3 + x^2−2)
Express the answer in standard form.
Enter your answer in the box.
3.ADD (1+7x^3-x^2) + (x^3+2+2x^2)
express the answer in standard form .
enter your answer in the box
Answers
Answer: 1) x⁴ + 5x² + 12x - 31
2) 3x³ - x² + 2
3) 8x³ + x² + 3
Step-by-step explanation:
1) Line up like terms and add the coefficients of each term
-5x⁴ + 6x² - 43
+ 6x⁴ - 1x² + 12x + 12
x⁴ + 5x² + 12x - 31
2) Line up like terms and add the coefficients of each term
1x³ - 2x² + 4
+ 2x³ + 1x² - 2
3x³ - x² + 2
3) Line up like terms and add the coefficients of each term
7x³ - 1x² + 1
+ 1x³ + 2x² + 2
8x³ + x² + 3
Factor the polynomial.
3x^4 +6x^3 + 9x^2
Answers
Answer:
3 x^2 (x^2 + 2 x + 3)
Step-by-step explanation:
Factor the following:
3 x^4 + 6 x^3 + 9 x^2
Hint: | Factor common terms out of 3 x^4 + 6 x^3 + 9 x^2.
Factor 3 x^2 out of 3 x^4 + 6 x^3 + 9 x^2:
Answer: 3 x^2 (x^2 + 2 x + 3)
The slope of the line below is 4. Which of the following is the point-slope form
of the line?
(-3,-4)
A. y+ 4 = 4(x+3)
B. Y-4 =-4(x-3)
C. y-4= 4(x-3)
D. Y+4 = -4(X+3)
Answers
Answer:
A: y+4=4(x+3)
Step-by-step explanation:
Point-Slope Formula:
y-y1=m(x-x1)
Substitute:
y-(-4)=4(x-(-3))
-(-)=+
P: y+4=4(x+3)
Y+4 = 4(x+3)
The answer is A
Hope this helps!
You are helping with some repairs at home. You drop a hammer and it hits the
floor at a speed of 8 feet per second. If the acceleration due to gravity (g) is
32 feet/second, how far above the ground (h) was the hammer when you
dropped it? Use the formula:
V = 2gh
Answers
Answer:
1 foot.
Step-by-step explanation
That is not the correct formula. Correct is V^2 = 2gh where h = the height
so the equation is:
8^2 = 2*32* h
h = 64/ 64 = 1 foot.
Answer:
[tex]h=\frac{1}{8} feet[/tex]
Step-by-step explanation:
In order to be able to solve this problem you just have to clear the formula for height:
V=2gh
[tex]\frac{V}{2g}=H[/tex]
[tex]\frac{8}{64}=H[/tex]
[tex]\frac{1}{8}=H[/tex]
So the height from which the hammer is dropped is 1/8 feet.
Please help I need it
Answers
Answer:
Yes. It's a right triangle.Step-by-step explanation:
If a ≤ b < c are the length of the sides of a right triangle, then
a² + b² = c².
We have:
a =30 ft, b = 40 ft and c = 50 ft.
Check the equality:
L = 30² + 40² = 900 + 1600 = 2500
R = 50² = 2500
L = R
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
–7
–1
1
7
Answers
Answer:
-1Step-by-step explanation:
[tex]f(1)=-4\\\\f(n+1)=f(n)+3-\text{the next term is 3 bigger than the previous one}\\\\f(2)=-4+3=-1[/tex]
What is a correct first step in solving the inequality-4(3-5x)>-6x+9
Answers
Answer:
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
Step-by-step explanation:
-4(3-5x)>-6x+9
We need to solve the above inequality
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
(-4*3) (-4*-5x) >-6x+9
-12 +20x >-6x+9
-12 + 20x >-6x+9
The next step will be to add +12 on both sides
-12 + 20x +12 >-6x+9+12
20x >-6x+21
The next step will be to add +6x on both sides
20x +6x > -6x+21 +6x
26x > 21
x > 21/26
What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, -3)?
Answers
Answer:
Step-by-step explanation:
There is no given equation, so it is impossible to figure this out. I apologize.
Answer: I was told the third option
Step-by-step explanation:
Solve for q; 6n-5q/11t = c
Answers
Answer:
[tex]\large\boxed{q=\dfrac{6n-11ct}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{6n-5q}{11t}=c\qquad\text{multiply both sides by}\ 11t\neq0\\\\6n-5q=11ct\qquad\text{subtract}\ 6n\ \text{from both sides}\\\\-5q=11ct-6n\qquad\text{change the signs}\\\\5q=6n-11ct\qquad\text{divide both sides by 5}\\\\q=\dfrac{6n-11ct}{5}[/tex]