Answers
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )
20 × tan40° = opp , thus
opp = 20 × 0.839 ≈ 16.78 , then
height of traffic light = 16,78 + 5 = 21.78 ft
------------------------------------------------------------------------
Using the tangent ratio in the right triangle
tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )
Multiply both sides by d
d × tan42.71° = 150 ( divide both sides by tan42.71° )
d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m
Related Questions
Which number line correctly shows –3 – 1.5?
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5..
Answers
Answer:5.4
Step-by-step explanation:
There are twelve members of the Mu Alpha Theta math team. Membership is
open to all students, male and female, enrolled in Algebra I or higher math
courses.
Part A: An equation that represents the situation is
Select a Value
Part B: This equation has
Select a Value
because
Select a Value
Part C: An ordered pair that cannot be used to represent this situation is
Select a Value
Answers
Answer: Part A -
12= b+g
Part B-
a finite number of solutions
the number of boys or girls must be a natural number
Part C- (7,4, 4,6)
Step-by-step explanation:
Caleb's science club is making candles for a fundraiser. They ordered 12 pounds of beeswax
for $92.52. How much did the beeswax cost per pound?
Answers
Answer:
7.71$
Step-by-step explanation:
12 pounds = 92.52$
price/12 pounds {divided by} 12 = price/pound
92.52$ {divided by} 12 = 7.71$
Answer: 7.71
Step-by-step explanation:
Solve the equation.
–3x + 1 + 10x = x + 4
Answers
Answer:
x= 0.5
Step-by-step explanation:
It makes sense
The value of x is 1/2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
–3x + 1 + 10x = x + 4
Now, solving for x
-3x+ 10x - x = 4 - 1
7x - x = 3
6x = 3
x= 3/6
x= 1/2
Hence, the value of x is 1/2.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
If point A is reflected across both axes, what are the coordinates of the reflected point? ( -6 -3 )
(-6, 3)
(6, -3)
(6, 3)
(-6, -3)
Answers
Answer with step-by-step explanation:
When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).
Hope this was helpful!
Both the domain and range of the graph shown above is all real numbers?
Answers
Answer:
A::True
Step-by-step explanation:
For the quadratic function the domain is all real numbers since the horizontal extent of the graph is the whole real number line. Because the graph does not include any negative values for the range, the range is only non-negative real numbers.
HELP!!!!!!!!!!!!!!!!!!
Answers
Answer:
it is an acute angle
Step-by-step explanation:
less then 90° is a acute and above 90° angle is an obtuse
PLEASEEEEEEEEEEEEEE HELP NOW ITS DUE IN 5 min!!! Samuel needs 337 feet of wood to build a fence. The wood comes in lengths of 14 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?
Samuel needs
____ pieces of wood.
Theresa needs
______pieces of wood.
Answers
100 POINTS PLUS BRAINLIEST FOR CORRECT ANSWER! Sam wants to take his phone and his Nintendo Switch with him on his upcoming road trip. His parents tell him they will be leaving in a half-hour and Sam realizes he forgot to charge both of the devices. He hurries to plug in each device to get as much battery life as possible before they leave. When he plugged in his phone it only had a 5% battery life and his Nintendo Switch had 20%. He periodically checked back to see the progress of each device and kept notes of their progress. Use the given information above and Sam’s notes below to find out how much battery life each device will have when it is time to leave. Also, if the device will not be fully charged how much extra time should Sam ask his parents to delay their departure time by?
Sam’s Notes: After 6 minutes his phone had 20% and after 9 minutes it had 27.5%. After 10 minutes his Nintendo Switch had 32% and after 15 minutes it had 38%.
Answers
when you leave the Nintendo switch will have 96% and the phone will have 84%,he should ask his parents for about 20 more minutes.
Answer:
when they leave, the phone would be charged 80% and the nintendo 36%. They would need to delay the road trip for 76.8 more minutes for the nintendo to fully charge and 50 minutes for the phone to fully charge
Step-by-step explanation:
can simplify this please 3−10(4p−1)
Answers
Answer:
- 40p + 13
Step-by-step explanation:
Given
3 - 10(4p - 1) ← distribute the parenthesis by - 10
= 3 - 40p + 10 ← collect like terms
= - 40p + 13
help me out y’all (;´༎ຶٹ༎ຶ`)
Answers
Answer: -x^2 +4x -2
Step-by-step explanation:
5x+2(3x-1)
Use that
x(x+7)
minus the use that equation by this one and get the answer
How many solutions does this have? 2x = 2x - 9
A. No
B. One
C. Two
D. Infinity
Answers
Answer:
A. No solutions
Step-by-step explanation:
2x-2x=-9
0= -9
Since 0 does not equal -9, there are no solutions.
how to solve −3/4n≤3.
Answers
Answer:
n ≥ -4
Step-by-step explanation:
-3/4n ≤ 3
-4/3(-3/4n) ≤ 3(-4/3)
n ≥ -12/3
n ≥ -4
CHECK:
correct
-3/4(-4) ≤ 3
12/4 ≤ 3
3 = 3
correct
-3/4(5) ≤ 3
-15/4 ≤ 3
-3.75 < 3
incorrect
-3/4(1) ≤ 3
-3/4 is not ≤ 3
PLEASE HELP ME ಥ‿ಥ!!!!
Answers
Yes the answer is d
2x + y = 12
- 3x + y = 2
Answers
helppppp thank you, I don't understand it
Answers
Answer:
B. At most 4 times
Step-by-step explanation:
Plz mark me brainlest! Hope this helps you!
Answer:
At least 4 times
Step-by-step explanation:
3t + 10 >= 22
-10 -10
3t >= 12
/3 /3
t >= 4
For every 1000 hits a channel gets it makes £5 from ad revenue. How many hits will the channel need to make £1?
Answers
Answer:
200 hits
Step-by-step explanation:
step1 : £5-1000
£1-?
step2: 1000 /5
=200
Find the quotient.
36s^3t-26st
-----------------
-2st
Enter the correct answer.
Answers
Answer:
it is makeing me do it
Step-by-step explanation:
3/4(2x+1)=2 solve for x
Answers
Answer:
3/4(2x+1)=2
3/2x+3/4=2
3/2x=2 -3/4
3/2x=-10/4
3/2x(2)=-10/4(2)
3x= -5/2
3x/3 = -5/2 * 1/3
x= -5/6
math help please! - ( 2/5 )
Answers
Answer:
D
Step-by-step explanation:
it is D because you always want x to be a lone fraction and that would be the first step im 99% sure unless someone can correct me :)
Answer:
d) subtract 15 from both sides
Step-by-step explanation:
Process of elimination:
a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.
b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.
c) to get rid of 15, which we need to somehow, we need to do the opposite operation than the one in the equation. 15 is +15, not negative, and so you would need to subtract to get rid of 15. This is why (c) is also wrong.
That leaves us, with (d), because you need to subtract 15 to isolate "x".
Simplify this radical.
V84
Answers
Answer:
[tex]2\sqrt{21}[/tex]
Step-by-step explanation:
84/4=21
Square root of 4=2
[tex]2\sqrt{21}[/tex]
What will you multiply by (−x+2) to find the first product? , 1 of 2.
Answers
Answer:
not enough info
Step-by-step explanation:
PLZ ANSWER WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
Which expression represents the correct factorization of the following polynomial?
27x^3+64
A.(3x+4)(3x^2−12x+64)
B.3x+4(9x^2+12x−16)
C.(3x+4)(9x^2−12x+16)
D.(9x+16)(3x^2−12x+4)
Answers
Answer:
I'm pretty sure that this one is the correct factorization of the polynomial above: c) (3x+4)(9x^2-12x+16)
(3x−4)⋅(9x
2
+12x+16)
See steps
Step by Step Solution:
More Icon
STEP
1
:
Equation at the end of step 1
33x3 - 64
STEP
2
:
Trying to factor as a Difference of Cubes
2.1 Factoring: 27x3-64
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 27 is the cube of 3
Check : 64 is the cube of 4
Check : x3 is the cube of x1
Factorization is :
(3x - 4) • (9x2 + 12x + 16)
Trying to factor by splitting the middle term
2.2 Factoring 9x2 + 12x + 16
The first term is, 9x2 its coefficient is 9 .
The middle term is, +12x its coefficient is 12 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 9 • 16 = 144
Step-2 : Find two factors of 144 whose sum equals the coefficient of the middle term, which is 12 .
-144 + -1 = -145
-72 + -2 = -74
-48 + -3 = -51
-36 + -4 = -40
-24 + -6 = -30
-18 + -8 = -26
For tidiness, printing of 24 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(3x - 4) • (9x2 + 12x + 16)
Answer:
C
Step-by-step explanation:
When factorising the sum of cubes, we use the formula
a^3+b^3=(a+b)(a^2−ab+b^2).
In this case of 27x3+64,
27x^3=a^3
64=b^3
Find a:
27x^3=a^3
3^√27x^3=3^√a^3
3x=a
Find b:
64=b^3
3^√64=3√b^3
4=b
Substitute a=3x and b=4 into
(a+b)(a^2−ab+b^2)
(3x+4)((3x)^2−(3x×4)+4^2)
= (3x+4)(9x^2−12x+16)
(3x+4)(9x^2−12x+16) is the factorised form of 27x^3+64
When a negative base is raised to the power of an even number, the answer is always
Answers
Answer:
When a negative base is raised to the power of an even number, the answer is always positive.
Step-by-step explanation:
if a number line starts at 0, and there are 10 ticks before the 400, how much is one tick worth?!?! help!!!
Answers
Answer:
40
Step-by-step explanation:
400÷10=40
It says my answer needs to be 20 characters long so I'm writing this.
PLEASE HELP Due today!
What properties are these?
1. if PQ = PQ, then line PQ≅line PQ.
4. If RS = TU, then RS + XY = TU + XY
5. If AB = DE, then DE =AB
6. If Y is the midpoint of line XZ, then XY = YZ
7. if line FG ≅ line HI and line HI ≅ line JK, then line FG ≅ line JK
8. If AB+CD=EF+CD, then AB=EF
9. If PQ+RS=TV and RS=WX, then PQ+WX=TV
10. If LP=PN, and L, P, and N are collinear, then P is the midpoint of line LN
11. If line UV ≅ line UV, then UV=UV
Property bank:
Addition Property Of Equality
Multiplication Property Of Equality
Division Property Of Equality
Distributive Property Of Equality
Substitution Property Of Equality
Symmetric Property Of Equality
Transitive Property Of Equality
Reflexive Property Of Congruence
Symmetric Property Of Congruence
Transitive Property Of Congruence
Definition of Congruence
Definition of Midpoint
Answers
Answer:
it looks like it is Addition Property Of Equality
Step-by-step explanation:
could someone out there perhaps help me? i’m so lost even though it’s probably so simple. i’ll give you brainleist :)
Answers
Answer:
y= -x+7, b= sqrt(2P/a), c=3P^2-b
Step-by-step explanation:
First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.
Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).
Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.
What is 20 times 4 thousand
Answers
Answer:
80,000
Step-by-step explanation:
Hope I helped. please mark brainiest.
Answer: 80,000
Step-by-step explanation: I did math give me brainliest pls
HELP ME WITH QUESTION 8 EASY 10 POINTS
Answers
Answer: 9
Step-by-step explanation:
Select one of the factors of 3x^2 + 10x + 3
A. (3x+1)
B. (3x+3)
C. (3x-1)
D. None of the above
Answers
For a polynomial of the form
ax2+bx+c
, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅3=9 and whose sum is
b=10.
3x2+x+9x+3
Factor out the greatest common factor from each group.
x(3x+1)+3(3x+1)
Factor the polynomial by factoring out the greatest common factor,
3x+1.(3x+1)(x+3)
Your answer is A.