Answer:
..........
Step-by-step explanation:
Given:
The height of the ladder = 15 m
When the ladder leans at point B from the ground level, then it makes an angle of 52° with the horizontal
When the ladder leans at point A from the ground level, then it makes an angle of 85° with the horizontal
To find:
The distance between point A and point B is?
Solution:
To solve the above-given problem, we will use the following trigonometric ratio of a triangle:
Referring to the figure attached below, we will assume,
BD = AD = 15 m = height of the ladder
∠BDC = 52° = angle of elevation to the foot of the window
∠ADC = 85° = angle of elevation to the top of the window
Now,
In ΔBCD, we have
Opposite side = BC
Hypotenuse = BD = 15 m
θ = 52°
∴
and
In ΔACD, we have
Opposite side = AC
Hypotenuse = AD = 15 m
θ = 85°
∴
∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m
Thus, the distance between point A and point B is 3.12 m.
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Also View:
A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.
A Mall has 21 shops: 9 are pens, 7 are shoes, and 5 are watch shops. What
is the probability that we will go shopping in pens or shoes shop?
Answer:
16/21
Step-by-step explanation:
9+7 / 21
16/21
Answer:
16/21
Step-by-step explanation:
The demoninator is 21
There are 9 pens and 7 shoes.
9+7=16
16/21
You can not simplify 16/21, so that is your final answer.
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17
Answer:
the answer is 17
Step-by-step explanation:
6×3-1
= 17
HELP PLS MATH !!!!!!!!!!!!!!
fraction form : 8/25
decimal form : 0.32
Answer:
8/25 or if you have to do decimal form it's 0.32
Step-by-step explanation:
2,668 ÷ 53 (Im putting this because it has to be 20 characters or more)
Answer:
50.33962264
Step-by-step explanation:
brainlest pls
Answer:
the answer is 50.33
Step-by-step explanation:
someone check out my recent question
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answer: 6.8 inches
Step-by-step explanation:
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
1)
12
IS
16
D
DEF
Answer:
is there anything else that can help?
Step-by-step explanation:
Answer:
Do you have a picture to see the triangles
Step-by-step explanation:
factorise completely
a). 3xy - 9x
b). x² - 4
c). 2x² + 5y + 1
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchmark 1/2. Select the correct answer to describe how to solve the problem.
Answer:
6/7 > 1/2
1/3 < 1/2
Suki rode her bike a longer distance than Clarie
Step-by-step explanation:
Suki's distance = 6/7 miles
Compare with bechmark 1/2
6/7 and 1/2
Make the denominators same
(6*2)/(7*2) and (1*7)/(2*7)
12/14 and 7/14
12/14 is greater than 7/14
12/14 > 7/14
Therefore, 6/7 > 1/2
Clarie distance = 1/3 miles
Compare with bechmark 1/2
1/3 and 1/2
Make the denominators same
(1*2)/(3*2) and (1*3)/(2*3)
2/6 and 3/6
2/6 is less than 3/6
2/6 < 3/6
Therefore,
1/3 < 1/2
Compare Suki's distance with Clarie
compare 6/7 and 1/3
Make the denominators same
(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)
18/21 and 7/21
18/21 > 7/21
Suki rode her bike a longer distance than Clarie
Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)
Answer:
(25m^4n^1/12)(m^1n^1/12)
Step-by-step explanation:
Re-order terms to the left.
(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)
Combine terms
(5*5m^4n^1/3/4) 2m^1n^1/3/3/8
Multiply
(25m^4n^1/3/4) 2m^1n^1/3/3/8
(25m^4n^1/3 * 4) 2m^1n^1/3/3*8
(25m^4n^1/12). 2m^1n^1/3/24
cancel common terms in both num and denominator
Final - (25m^4n^1/12) (2m^1n^1/12).
A bag contains 25 red cubes, 15 green cubes, 12 blue cubes, and 8 yellow cubes. The cube is picked at random from the bag. Find each probability as a fraction is lowest terms
Answer:
25/70=red cubes
15/70=green cubes
12/70=blue cubes
8/70=yellow cubes
Step-by-step explanation:
you have to add up all the cubes together and get 70 so you have to see the possibility of getting each cube from the bag.
sorry if you get this wrong
Answer:
Step-by-step explanation: Alright so first add up how many cubes there are in total - 25 + 15 + 12+ 8 = 60. Then, each color cube is its number out of 60. So, for example, for 25 red cubes, it would be 25/60 as a fraction and that’s the probability as a fraction for the red cubes. So:
red = 25/60
green = 15/60
blue = 12/60
yellow = 8/60
then simply the fractions.
25/60 —> 5/12
15/60 —> 1/4
12/60 —> 1/5
8/60 —> 2/15
I hope that helped!
what is the smallest angle of this triangle
17,26,29
hey! i’ll give brainliest please help
Answer:
I think it's D
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
They are anxious to get their results
A cupcake store manager believes that half of the cupcakes sold are vanilla and that the other half is equally divided between chocolate and funfetti. If the manager's belief is correct and 400 cupcakes are sold, how many would you expect to be funfetti
400 cupcakes in total
200 would be vanilla
so 100 would be chocolate and the remaining 100 should be funfetti
A: 100
What percent of 8 is 6? pls give a detailed explanation thanks
Answer:
x/100 x 8 = 6
8x/100 = 6
x100 x100
8x = 600
Divide by 8 on both sides:
X = 75
Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.
(unknown number/percent)x/100 x 8(of 8) = 6(is 6)
4x+2=-13 solve for x
Answer:
Solution given
4x+2=-13
subtract each term by 2
4x+2-2=-13-2
divide both side by 4
4x/4=-15/4
we get
x=-15/4
is a required answer.
Let's solve:
[tex]4x+2=−13[/tex]
Step 1: Subtract 2 from both sides.
[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]
Step 2: Divide both sides by 4.
[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]
Answer:
[tex] \frac{ - 15}{4} [/tex]
Solve the linear systems using the substitution method. 2x-3y=-1 x=y+1
Please explain the steps too. Thank you. :)
Answer:
x =1 and y=-1
Step-by-step explanation:
2x - 3y=-1
x-y=1
there for ok there is a lot of steps i had to do so ill take a pic of it
and the big one is the first one
What is the length of the missing leg?
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
What is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m=1 (0,3)
Step-by-step explanation:
m=1
slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1
y-intercept is at (0,3) because is where the line intersects the y-axis
Mike owes his brother $9.55. He borrows $10.75 more from his brother. Which of the following best represents Mike's debt to his brother?
A B C D +$20.20 -$20.30 -$1.20 +$18.80
Answer:
C - $20.30
Step-by-step explanation:
-9.55 + (-10.75) = - 20.3
If f (2) = 60 – 5.
find x for f (x) = 13
Answer:
The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Given,
f (2) = 60 – 5
= (30 X 2) - 5
∴ f (x) = [tex]30x-5[/tex]
Again,
f (x) = 13 [given]
[tex]30x-5=13\\or, 30x= 13+5\\or, 30x=18\\or, x=\frac{18}{30} \\\\or, x=\frac{3}{5} \\[/tex]
∴[tex]x=\frac{3}{5}[/tex]
Verification:
f (x) = [tex]30x-5[/tex]
∴ f ([tex]\frac{3}{5}[/tex]) = (30 X [tex]\frac{3}{5}[/tex]) - 5
= 18 - 5
= 13
∴ The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
brainly.com/question/26457073
Ryan has 10 quarters.
Kelly has exactly seven times as much money as Ryan.
They will combine their money to buy a game.
The game costs $27. How much more money do they need to
save?
Answer:
its b
Step-by-step explanation:
please help :),))))
Answer:
option 1
Step-by-step explanation:
The rate of increasing is the fastest in exponential functions.
Then comes powers and last logarithmic functions.
The order it increases at the fastest rate.
[tex]log < powers < exponential[/tex]
An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell
Answer:
30 strawberry sundaes.
Step-by-step explanation:
We know there is a total of 70 sundaes.
3 sundaes will be strawberry.
4 sundaes will be choclate.
When you add 3 and 4 together, you get 7. This is your total ratio.
So 3/7 of the sundaes are strawberry.
And 4/7 of sundaes are choclate.
We know there is a total of 70 sundaes.
The total ratio we figured out is 7.
If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.
This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.
3*10=30
4*10=40
So there are 30 strawberry sundaes and 40 choclate sundaes.
We need to find the strawberry sundae amount, so the answer is 30.
Hope this helps!
A bakery sells ten different types of bread. The amount of cups of sugar in each bread
recipe is shown.
1
2
1
4
4
3
4
ili i
13
1
2
1
2
What is the mean amount of sugar in these recipes?
Answer:
3/4 cups
Step-by-step explanation:
Adding the fractions
1/4 + 1/2 + 1/4 + 3/4 + 1 + 1 1/2 + 1/2 + 1 3/4 + 1/2 + 1/2
And the the L.C.M to be 4
=30/4
=15/2
Mean = 15/2 ÷ 10
=15/2 × 1/10
3/4
Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solution. Explain your reasoning.
[tex]y=15x+1[/tex]
[tex]y=15x+2[/tex]
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
First equation :
[tex]y = 15x + 1[/tex][tex]y - 15x - 1 = 0[/tex]Second equation :
[tex]y = 15x + 2[/tex][tex]y - 15x - 2 = 0[/tex]Now, the equations are in the form of
[tex]a_1x {}^{2} + b_1x + c_1 = 0[/tex][tex]a_2x {}^{2} + b_2x + c_2 = 0[/tex]where,
[tex] \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2} [/tex]
therefore the equations would have no solution .
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
factorizar A- m⁹+125
B - 125a³ + 150a² b + 60ab³ + 8b³
Answer:
Kya Hua Hai Bhai Sab Kuchh khae Duniya Mein Sab Koi pata nahin to Aap To Pyar Karte
help fr now i am in danger x_x
Answer:
B, it's a reflection over the y-axis
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It's B because all your doing is flipping the image over the y-axis