Answer:
61inchesLet the distance between the top of his head to the end of the shadow be d.
Dennis is standing perpendicular to the shadow. So the triangle formed is a right triangle.
Using the Pythagoras Theorem, d^2 = 11^2 + 60^2 d^2 = 121 + 3600 d^2 = 3721 d = sqrt(3721) d = 61 inches
A solid metallic sphere of radius 7 cm is cut into two halves. Find the total surface area of the two hemisphere
formed.
i keep getting the wrong answer and have no idea what to do
Answer:
[C] 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationCalculus
Limits
Derivatives
Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle\displaystyle g(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
[tex]\displaystyle f(x) = \frac{3}{5x^4 + 3}[/tex]
[tex]\displaystyle g(0)[/tex]
Step 2: Differentiate
Substitute in x [Function g(x)]: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{f(0 + h) - f(0)}{h}[/tex]Substitute in function f(x) [Function g(x)]: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{\frac{3}{5(0 + h)^4 + 3} - \frac{3}{5(0)^4 + 3}}{h}[/tex]Simplify: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{\frac{3}{5h^4 + 3} - 1}{h}[/tex]Rewrite: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{3}{h(5h^4 + 3)} - \frac{1}{h}[/tex]Rewrite: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{3}{h(5h^4 + 3)} - \frac{5h^4 + 3}{h(5h^4 + 3)}[/tex][Subtraction] Combine like terms: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{3 - 5h^4 + 3}{h(5h^4 + 3)}[/tex][Addition] Simplify: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{-5h^4 + 6}{h(5h^4 + 3)}[/tex][Distributive Property] Distribute h: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{-5h^4 + 6}{5h^5 + 3h}[/tex]Evaluate limit [Power Method]: [tex]\displaystyle\displaystyle g(0) = 0[/tex]Since the bottom polynomial has a higher degree than the top polynomial, the bottom polynomial will increase faster.
∴ If the bottom is approaching a bigger value, the fraction gets smaller and smaller, approaching 0.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
A rectangle has an area of 8xand a length of 4x. Find the width of the rectangle.
Answer:
width=2
Step-by-step explanation:
area = 8x
length = 4x
thus,
width=8x÷4x=2
What is the midpoint between( -4,-5 )and( 6,2)
Answer:
(1, -1.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x values and divide by 2
(-4+6)/2 = 2/2 = 1
To find the y coordinate of the midpoint, add the y values and divide by 2
(-5+2)/2 = -3/2 = -1.5
Acellus
Find the missing side of this right
triangle.
x
7
14
x= [?]
Enter the number that belongs in the green box.
Enter
Answer:
2 is the correct answer because 14 ÷7 is 2
Answer:
the answer in your question is √245
15.6524 ≈ 15.7
Step-by-step explanation:
[tex]x = \sqrt{{14}^{2} + {7}^{2} } \: = 15.6524 = 15.7[/tex]
If 8x−7y=−8 is a true equation, what would be the value of -8+8x−7y? I need help badly
Help urgent
I need this done quick
Answer:
It is supplementary.
Step-by-step explanation:
Supplementary angles are angles that have two angles adding up to 180°. You can tell by just finding the straight line that equals 180° then seeing a line that separates the whole measurement into two angles, but together making a 180° angle still. Hope this helps! :D
Meanings of the other Options:
Alternate Interior Angles - Angles formed when two parallel or non-parallel lines are intersected by a transversal. The angles are positioned at the inner corners of the intersections and lie on opposite sides of the transversal.
Corresponding Angles - Angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel, then the corresponding angles are congruent.
Alternate Exterior Angles - Angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
Parallel Lines - Two lines that never intersect. Like an equal sign for example (=).
Transversal - A line the cuts through a parallel line. Like a non-equal sign for example (≠).
Rotate triangle P 90° clockwise about the point (2, -1).
Please screenshot this and send me the answers cuz I really need help :(
Answer: (2,0), (2,1), and (6,1)
Step-by-step explanation: I just used the desmos graphing calculator to find the answer to your problem. I don't know any formulas to solve it so I just rotated the points by hand. I also made sure they were still equidistant from the point (2,-1) because if their distances from other points changed during the rotation, then the triangle would not be equal to the first triangle and the image would've been distorted.
I hope this helps! Have a nice day.
Shaan walks 2.5 meters per second. His brother Dhvan walks 1 meter
per second. Dhvan wants to have a race. Shaan knows that he walks faster,
but he wants to give his brother a head start of 45 meters, so it doesn't
seem that he is allowing him to win. How many meters long should the
race be in order for Dhvan to win?
Answer:
The race must be up to 29 meters for Dhvan to win.
Step-by-step explanation:
Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:
45 / (2.5 - 1) = X
45 / 1.5 = X
30 = X
Therefore, the race must be up to 29 meters for Dhvan to win.
A $5.50
baseball hat is
marked up
150%. What is
the new price
of the hata
Answer:
13.75
Step-by-step explanation:
Hello there! Please answer this question for me please. Brainliest and 35 points!
What is the area of figure ABCD?
A
104 square inches
B
120 square inches
C
136 square inches
D
168 square inches
Answer:
That's a Trapezium
Area =½( A + B)x H
A and B are the top and bottom of the shape.
H is the height.
Substituting...
Area = ½(13+17)8
=120 Square Inches
Answer:
B. 120 in.²
Step-by-step explanation:
13 × 8 = 104 in.²
17 - 13 = 4
4 × 8 = 32
32 ÷ 2 = 16
16 in.² + 104 in.²
120 in.²
Simplify 5a + 5b - 6a + 8b
Answer:
-1a + 13b
Step-by-step explanation:
combine like terms and just be sure to change signs as needed
Step-by-step explanation:
-a+13b
colect like terms and solve
Condense the logarithm
g log a + 2 log b
What value do you square to get 9?
Answer:
3 or -3
Step-by-step explanation:
What number multiplied by itself will give you 9
1*1 =1
2*2 =4
3*3 =9
Also note that negative times negative will be positive so
-1*-1=1
That means -3*-3 = 9
Answer:
3^2 0r (-3)^2
Step-by-step explanation:
let the number be x
x^2=9
x=[tex]\sqrt{9[/tex]
x=[tex]\sqrt{3*3[/tex]
x=3
there fore x=plus or minus 3.since it is a sqauring a number if u square (-3)^2 along will the number sign also gets multiplied and (-*-)=+ so u we get positive number.
therefore if u square 3 then u will get 9
a store is having a sale where everyhting is 15% off. If Damien wants to buy an item that originally costs $50 how much will he save? What is his total cost?.
Answer:
35 because i had this problem before and the answer was 35 cuz yeah
Chanda is planning to visit universities over the summer to help decide where she
wants to attend college. The first two universities on her proposed route are 6
inches apart on Claudias map. In real life, this distance is 30 miles. What scale
does the map use? 1 in = miles.
edsedsedsedsedseds HELP PLZ FAST
Answer:
12x + 300 = 450
Step-by-step explanation:
Overtime payment = $12/hWeekly income = $300Overtime hours = x
Equation:
12x + 300 = 450Math,math,math,math,math,math
Answer and Step-by-step explanation:
To find the length of the missing leg, use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
[tex]15^2 + a^2 = 17^2\\\\\\a^2 = 64\\\\a = 8[/tex]
This missing leg length is 8 feet.
#teamtrees #PAW (Plant And Water)
Answer: a=8
Step-by-step explanation: just because lol
This is the question of 7 class opt math book. Write right answer.
Answer:
Step-by-step explanation:
x + 50 + 90 = 180
x + 140 = 180
x = 40 degrees
An art teacher has a pack of 250 sheets of paper. The expression (25x4)+5 shows that the teacher gives each of the 25 students in an an art class 4 sheets of the paper for an art project and then uses 5 more sheets while helping students. How many sheets of paper does the art teacher have left in the pack
Answer:
2.5
Step-by-step explanation:
Help me please i need it
Answer:156 meters
Step-by-step explanation:
WILL GIVE BRAINLIEST AND THANKS. find the value of x
Answer:
x = 48
Step-by-step explanation:
To solve this problem, one must assume that the segment with a length of (7) bisects the segment with a length of (x).
It is given that the segment with a length of (7) is perpendicular (forms a right angle with) the segment that has a length of (x). This is indicated by the box around one of the angles, signifiying that it is a right angle, or (90) degree angle. Therefore, the triangle with sides measuring (25) and (7) is a right triangle. Thus, one can use the Pythagorean theorem to solve for the base length. Then multiply it by (2) to find the total length of (x).
The Pythagorean theorem states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs, or sides adjacent to the right angle, and (c) is the hypotenuse or side opposite the right angle.
[tex]a^2+(7)^2=(25)^2[/tex]
Simplify,
[tex]a^2+49=625[/tex]
Inverse operations,
[tex]a^2=576\\\\a=24[/tex]
Multiply this value by (2) to find the total side length of the segment (x),
2(a)
Substitute,
2(24)
Simplify,
48
This Question: 1 pt
A triangle has a perimeter of 9x² + 7x - 2.
One side of the triangle measures 6x + 7. Another side of the triangle measures 8x?.
What is the measure of the third side of the triangle?
Answer:
9x² - 7x - 9
Step-by-step explanation:
Two sides
(6x + 7) + 8x = 14x + 7
total perimeter - two sides = Third side
9x² + 7x - 2
- (14x + 7)
––––––––––
9x² - 7x - 9
help me please [giving brainliest to best answer with step by step]
Hi there!
[tex]\large\boxed{3\text{ } \frac{3}{4} cm^3}[/tex]
Knowing that one cube has side-lengths of 1/2, we can calculate the dimensions for the prism:
Length: 1/2 × 5 = 2.5 cm
Height: 1/2 × 3 = 1.5 cm
Width: 1/2 × 2 = 1 cm
Use this formula to solve for the volume:
V = l × w × h
Thus:
V = 2.5 × 1.5 × 1 = 3.75 cm³
Convert to fraction:
75/100 = 3/4
Thus, the volume in mixed-numbers is 3 3/4 cm³.
CAN SOMEONE HELP ME PLEASE
Please help ASAP with geometry! Will give brainliest
Answer:
360
Step-by-step explanation:
All circles can be divided into 360 units called degrees. Since there is 270 already we subtract 270 from 360.
360 - 270 = 90
90 + 150 + 120 = 360
6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?
Answer:
-0.0390625
Step-by-step explanation:
each is cut in half
so we do this
20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625
C) {(0, 1), (2.1), (0.3) Function? Explain:
Is this a function or not
HELPP TIMED WILL GIVE BRAINLIEst round to nearest hundredth
Madeleine owes $36,000 to a private lender. The debt grows with 12% annual interest that compounds every week. How much will Madeleine owe in one year?
Answer:
A= $40584.28
Step-by-step explanation:
P = 36000
r = 12% = 0.12
n = 52 weeks
t = 1
[tex]A = P(1 + \frac{r}{n})^{nt}\\[/tex]
[tex]=36000(1 + \frac{0.12}{52})^{52 \times 1}\\\\=36000 (1.002307)^{52}\\\\=36000 \times 1.12734\\\\=40584.28[/tex]