Answer:
Distance from point AA to point BB = 189.3 feet
Step-by-step explanation:
Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;
distance from point AA to point BB = x - y
To determine the value of x, applying the required trigonometric function;
Tan θ = [tex]\frac{opposite}{sdjacent}[/tex]
Tan 13 = [tex]\frac{102}{x}[/tex]
x = [tex]\frac{102}{Tan 13}[/tex]
= 441.81 feet
x = 441.8 feet
To determine the value of y;
Tan 22 = [tex]\frac{102}{y}[/tex]
y = [tex]\frac{102}{Tan 22}[/tex]
= 252.46
y = 252.5 feet
Thus,
distance from point AA to point BB = 441.8 - 252.5
= 189.3 feet
What is the slope of the line
Answer:
[tex]\displaystyle m = -3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-1, 0)
Point (0, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3-0}{0--1}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{-3}{1}[/tex][Fraction] Divide: [tex]\displaystyle m = -3[/tex]Answer:
-3
Step-by-step explanation:
Adam earns $18 an hour. If his wages for the
week amount to $810, how many hours did he
work for?
Answer:
45 hours
Step-by-step explanation:
if he makes 18 dollars per hour and he has 810 dollars all you have to do is divide 810/18 and you get 45
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
[tex]\sqrt{399}[/tex] or 19.97 but if you round to nearest tenth it is 20
Step-by-step explanation:
using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex]
substitute the values of 1 for a, leave b since we do not know it, and 20 for c.
So we have
[tex]1^{2}+b^{2}=20^{2}\\1+b^{2}=400\\[/tex]
Solve for b,
[tex]b^{2}=399\\b=\sqrt{399}[/tex]
Answer:
20
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=20^2
1+b^2=400
-1 -1
b^2=399
then take the square root of both and get 19.97498436
and after that, u round to the nearest 10th and get 20
hope this helps
what is the meaning of the quadratic formula. write it down?
Answer:
Quadratic formula is the tool for solving for an unknown number (usually x)
Step-by-step explanation:
The formula is below
Answer:
Below.
Step-by-step explanation:
The formula, which gives the solutions of the equation, is
x = [-b ±√(b^2-4ac)]/2a.
- a, b and c are the coefficients of the quadratic equation
ax^2 + bx + c = 0.
What is the slope of the line
Step-by-step explanation:
(1, -3). (3, 0)
(0 + 3)/(3 - 1) = 3/2 is the slope
a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5 years?
Simplify the expression 2(w+7)+6(3w−1).
Answer:
4 • (5w + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(2 • (w + 7)) + 6 • (3w - 1)
STEP
2
:
Equation at the end of step 2
2 • (w + 7) + 6 • (3w - 1)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
20w + 8 = 4 • (5w + 2)
Answer:
20w + 8
Step-by-step explanation:
2(w+7)+6(3w−1).
step 1 distribute the 2 to the w and the 7
2 * w = 2w
2 * 7 = 14
we now have 2w + 14 + 6( 3w - 1 )
step 2 distribute the 6 to the 3w and -1
6 * 3w = 18w
6 * -1 = -6
we now have 2w + 14 + 18w - 6
step 3 combine like terms
2w + 18w = 20w
14 - 6 = 8
we're left with 20w + 8
A school librarian surveyed a random sample of $50$ students to find out which library resources students value most. The table below shows the results.
Library Resources Number of Students
Books 24
Study Areas 10
Classes 6
Movies 10
Which statements are best supported by the data?
Select all that apply.
A It is expected that $15\%$ to $25\%$ of all students will value movies the most.
B It is expected that $20\%$ to $30\%$ of all students will value books the most.
C In a group of $25$ students, it is expected that around $5$ students will value study areas the most.
D In a group of $100$ students, it is expected that around $6$ students will value classes the most.
E In a group of $200$ students, it is expected that $20$ students will value study areas the most, and $20$ students will value movies the most.
Answer:
E
Step-by-step explanation:
If you break each classification of what items metter most you get the following percentahes:
Books 48%
Study Areas 5%
Classes 6%
Movies 20%
A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.
B - Data suggest a higher support for books at 48%
C - Data suggest 1 or two in a group of 25 would answer study areas
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.
Answer:
C) 92, leg
Step-by-step explanation:
a² + 28² = 96² *the hypotenuse is always the longest side
a² + 784 = 9216
a² = 8432
a = √8432
'a' is approximately 92, and is a leg
Roll the dice 18 times and record your results.
#
Tallies
Total
1
2
3
4
5
6
Answer:
# Tally
1: ||||| (5)
2: | (1)
3: |||| (4)
4: ||| (3)
5: || (2)
6: ||| (3)
The half-life of a radioactive kind of iodine is 12 hours. How much will be left after 24 hours,
if you start with 96 grams of it?
Answer:
Step-by-step explanation:
Half life means the period after which the material will have only 50% of it left, as if by magic.
Half life is given as 12 hours, so 24 hours is twice half-life.
If we start with 96 grams, after 12 hours, there will be 48 grams left.
After another 12 hours, (total of 24 hours), only half is left, namely 24 grams.
equivalent expression for 8 (y-7)
Answer:
8y - 56
Step-by-step explanation:
Answer:
multiply 8 by the numbers in brackets 8y-56
9x10to the power of -9
[tex] \large \boxed{0.000000009}[/tex]
Solution :Here we go :
[tex] \rightarrow9 \times 10 {}^{ - 9} [/tex]
[tex] \rightarrow \dfrac{9}{10 {}^{9} } [/tex]
[tex] \rightarrow \dfrac{9}{1000000000} [/tex]
[tex] \rightarrow0.000000009[/tex]
[tex] \bold{ \mathfrak{hope \: it \: helps \: you......}}[/tex]
Which quadratic equation defines the function that has zeros at -8 and 6?
a. x^2 + 2x - 48 = 0
b. x^2 - 2x - 48 = 0
c. x^2 + 2x + 48 = 0
d. x^2 - 2x + 48 = 0
Demola is two years older than Deji and Tobi is half of Demola's age. The sum of their ages is 23. How old is Deji
answer is in the picture
if a radio is bought for rs 1000 is sold for rs 1500 find what is the profit percentage?
Answer:
profit percentage is =(amount sold-amount bought)×100/amount bought
Answer:
profit: 1500-1000=500
profit percentage=x
now,
x % of 1000= 500
50% is the answer.
Which of the following is equivalent to the expression below?
log_6^36+log_6^216
Step-by-step explanation:
log_6^36+log_6^216
= log_6^ (36 × 216)
= log_6^ (6² × 6³)
= log_6^ (6^5)
= 5
MARKING BRAINLIEST
HELP PLS
The Answer is:
C.) (x+2)(x+3)
Answer:
(x-2)(x+3)
Step-by-step explanation:
1. Start by setting up the synthetic division. The numbers 1, -4, -11, and 30 go on the inside on the division. To get the number on the outside, set x-5 equal to 0. solve and get 5.
2. bring the one down. multiply the one and the five and place the number you get underneath the -4 in the next column. From there, add the two numbers in the column.
3. After adding those two numbers, put the number you get (which should be 1) directly below the 5. Now multiply that number and the 5 again.
4. Repeat these steps until you fill the spaces under the next two columns. If you do it correctly, the number at the bottom of the very last column should be 0. This zero is known as the remainder. The remainder is not needed to complete this problem.
Now that you have finished synthetic division, it is time to set up the new equation you got.
5. The 1 on the bottom left will be your [tex]x^{2}[/tex] value, the next 1 will be your x value, and the -6 will be your c. You should get the equation [tex]x^{2} + x -6[/tex]
6. From here, factor the polynomial. The factors must add up to the middle value (1) and multiple to c (-6). The factors -2 and 3 add up to 1 and multiply to -6
Therefore, your answer will be (x-2)(x+3)
1. If NK = 7 and KL = 15, find NL.
2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.
Answer:
NL = 13.26
x = 9.5
Step-by-step explanation:
Find the diagram attached
1) Given that NK = 7 and KL = 15
NL² = KL² - NK²
NL² = 15² -7²
NL² = 176
NL = 13.26
2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°
From the rhombus;
m<JML = 120 degrees
m∠JMK + m∠LMK = m∠JML
8x-13 + 4x +19 = 120
12x + 6 = 120
12x = 120-6
12x = 114
x = 114/12
x = 9.5
Hence the valle of x is 9.5
Name the marked angle in 2 different ways
Answer:
∠DEB or ∠BED
Step-by-step explanation:
The letter of the angle always goes in the middle.
Determine the center and the diameter of the circle with the equation. x^2-6x+y^2+8y=24
Answer:
The center of the circle is (3, -4)
The diameter of the circle is 2
Step-by-step explanation:
The given equation of the circle is x² - 6·x + y² + 8·y = 24
The general form of the equation of a circle is x² + y² + 2·g·x + 2·f·y + c = 0
The center of the circle = (-g, -f)
The radius of the circle = √(g² + f² - c)
By comparing the given equation of the circle with the general form of the equation of a circle, we have;
2·g = -6, 2·f = 8, and c = 24
From 2·g = -6, we get;
∴ g = -6/2 = -3
g = -3
from 2·f = 8, we get;
∴ f = 8/2 = 4
f = 4
Therefore;
The center of the circle, (-g, -f) = (-(-3), -4) = (3, -4)
The center of the circle = (3, -4)
The radius of the circle, r = √(g² + f² - c) = √((-3)² + 4² - 24) = 1
The diameter of the circle, d = 2×r = 2 × 1 = 2
The diameter of the circle = 2.
Help please help please
Answer:
12.57 in⠀⠀⠀⠀⠀
Answer:
12.56 inches
Step-by-step explanation:
A= pie x r^2
= 3.14 × 2^2
= 3.14 × 4
= 12.56
[tex] please \: anyone \: help \:me \\ \\ go \: to \: my \: previous \: question \: [/tex]
Answer:
Bhimrao Ramji Ambedkar, (born April 14, 1891, Mhow, India—died December 6, 1956, New Delhi), leader of the Dalits (Scheduled Castes; formerly called untouchables) and law minister of the government of India (1947–51).
ExplanationBorn of a Dalit Mahar family of western India, he was as a boy humiliated by his high-caste schoolfellows. His father was an officer in the Indian army. Awarded a scholarship by the Gaekwar (ruler) of Baroda (now Vadodara), he studied at universities in the United States, Britain, and Germany. He entered the Baroda Public Service at the Gaekwar’s request, but, again ill-treated by his high-caste colleagues, he turned to legal practice and to teaching. He soon established his leadership among Dalits, founded several journals on their behalf, and succeeded in obtaining special representation for them in the legislative councils of the government. Contesting Mahatma Gandhi’s claim to speak for Dalits (or Harijans, as Gandhi called them), he wrote What Congress and Gandhi Have Done to the Untouchables (1945).
In 1947 Ambedkar became the law minister of the government of India. He took a leading part in the framing of the Indian constitution, outlawing discrimination against untouchables, and skillfully helped to steer it through the assembly. He resigned in 1951, disappointed at his lack of influence in the government. In October 1956, in despair because of the perpetuation of untouchability in Hindu doctrine, he renounced Hinduism and became a Buddhist, together with about 200,000 fellow Dalits, at a ceremony in Nagpur. Ambedkar’s book The Buddha and His Dhamma appeared posthumously in 1957, and it was republished as The Buddha and His Dhamma: A Critical Edition in 2011, edited, introduced, and annotated by Aakash Singh Rathore and Ajay Verma.
Step-by-step explanation:
hope it is helpful to you
x * 0.77 = 26
Solve for x.
Answer:
x = ~33.77
Step-by-step explanation:
divide .77 on both sides.
x = 26/0.77 = 33.766234 rounded to the nearest hundredth is 33.77.
lets check our answer by plugging it in:
33.77 * 0.77 = 26.0029 which is close enough
Please help!! Find the surface area of the cylinder as pictured below with a = 3 cm and b=
5 cm. Use 3.14 for r and round your answer to the nearest hundredth. Do not
include units in your answer.
156.12 if using pi
150.8 if using π
Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answer:
49 inches
Step-by-step explanation:
To obtain the height, h of the ramp ;; we use trigonometry ;
h = opposite and the value of the hypotenus :
Sin θ = opposite / hypotenus
Sin 22 = h / 132
h = 132 * sin 22
h = 132 * 0.3746065
h = 49.44
Height of ramp = 49 inches
You purchase 75 shares of stock at $15 per share. The next day the stock drops 3%; however, a week later it increases in value by 7%. If you immediately sell your 75 shares, how much will you gain or lose (a) in dollar amount and (b) in percent?
Answer:
You have gained $43 and the value increased by 3.8%
Step-by-step explanation:
You would 75 times 15 = $1125
then you would do 1125 times 97% = 1091.25
now you would do 1091.25 times 107% = estimation of 1168
then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%
You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Answer:
A
Step-by-step explanation:
just A
successive y values are 5 TIMES the previous y value
In all the others the y value is an ADDITION of the same amount to the previous y value
Va rog macar 1 si 2 hai va rog frumos
Answer:
can you translate to English
Step-by-step explanation:
There is a jar of jellybeans on Mr. Schidrich's desk. 40% of the jellybeans are red. If
there are 55 jelly beans in the jar, how many are red??
Answer:
22 Red Jellybeans
Step-by-step explanation:
Out of the 55 jellybeans in the jar, 40% of them are red, which means you have to do 40% of 55 to see which ones are red. We know 10% of 55 is 5.5, then multiply 5.5 x 4 to get 22 is 40% of 50 hope this helped :)