Answer:
A)
Each landing is about 17 inches.
B)
The vertical rise from Floor 1 to Floor 2 is about 7 feet.
Step-by-step explanation:
Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)
Part A)
So, we want to find the length of [tex]\ell[/tex].
Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.
Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:
[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Therefore:
[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]
Solve for [tex]\ell[/tex]. Cross-multiply:
[tex]\displaystyle \ell\tan(30.20)=10[/tex]
So:
[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]
The landing space per step is about 17 inches.
Part B)
We know that there are a total of 12 feet of horizontal space total for each landing.
12 feet is equivalent to (12)(12) = 144 inches.
Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.
Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.
Please I really need help on this one
Answer:
hope this hlp u
Step-by-step explanation:
the last one shows the radius
Answer:
figure 4 shows the radius
please help me i cant under stand this
Answer:
Plot the same points that are on the table
Step-by-step explanation:
when given a table you are also given ordered pairs , so for example , the first pair on the table is (1,3) so plot that as your first point , then your second is (2,6) and so on . write these on the blank spaces aswell ! hope this helps :))))
Can someone please answer
Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
What is the value of x?
O 100°
140°
O 120°
O 130°
O 150°
56°
34°
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Answer:
ans will option 130 degree
The value of x in the given figure is 130 degrees.
What is the value of x?The first step is to determine the value of all of the angles in the quadrilateral.
First angle = 180 - 140 = 40 Second angle = 180 - 34 = 146Third angle = 180 - 56 = 124Fourth angle = 360 - (40 + 146 + 124) = 50Angle x = 180 - 50 = 130
To learn more about quadrilaterals, please check: https://brainly.com/question/16595449
determine the promotional price of each item at each store
Answer:
Step-by-step explanation:
Original price of the music box = $80
Price after 20% discount = Original price - discount
= 80 - 20% of 80
= 80 - [tex](\frac{20}{100}\times 80)[/tex]
= 80 - 16
= $64
Price after 40% discount = 80 - 40% of $80
= 80 - 32
= $48
Original price of A faux Ming vase = $60
Price after 20% discount = Original price - discount
= 60 - 20% of $60
= 60 - 12
= $48
Price after 40% discount = Original price - discount
= 60 - 40% of 60
= 60 - 24
= $36
Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6
Answer:
CD=8
Step-by-step explanation:
CD=1/2 of ZX
1/2 of 16= 8
Hope this helps!
Please mark me brainliest if you can. :)
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
Someone Help please with work!! 15pts
Answer:
f(5) is equal to 5.
Step-by-step explanation:
You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value. If you look closely, you'll see that the x value of 5 has a y value of 5 as well.
5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO I NEED HELP DUE VERY SOON HANDING OUT BRAINLIEST PLEASEE HELP I BEG U.
Step-by-step explanation:
We know that the volume of a rectangular prism is the base area multiplied by its respective height.
Hence we have 24in² * 6in² = 144in³.
The volume of the package is 144 cubic inches.
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Answer:
48 years old
Step-by-step explanation:
Let x = Mikhail's age
then x-15 = Gabrielle's age
x + x-15 = 81
2x-15 = 81
2x = 96
x = 48 years old
Answer:
44
Step-by-step explanation:
x+(x-12)=76
2x-12=76
2x=76+12
2x=88
x=88/2
x=44
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.
I am joyous to assist you at any time.
what‘s the maximum and minimum
pls help!!!
Answer:
D.By finding the unit rate and multiplying it by 7.
Step-by-step explanation:
PLease help will mark brainliest !!!!!
I will give brainiest to whoever answers correctly !!
Answer:
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of 11487.
Step-by-step explanation:
The population of the town after x years is given by the following equation:
[tex]P(x) = 5000(1.181)^{0.1x}[/tex]
After 10 years, the population of the town will be of:
This is P(10). So
[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of:
This is P(50). So
[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]
After 50 years, the population of the town will be of 11487.
19 ≥ 3f+1 ≥5 pls help
Answer:
Hi...u should do like this
18>3f>4
6>f>4/3
need help asap please !!
Answer:
52
Step-by-step explanation:
2w - 78 = w - 26 ( being opposite sides of parallelogram)
2w - w = 78 - 26
w = 52
Hope it will help :)
Help babyyyy I need itttt
Answer:
4
Step-by-step explanation:
A relay race covers a distance of 21/2 miles. Each runner on the team will run 1/4 miles how many runner needed for the team to cover the distances
Answer: 10
Step-by-step explanation:
Each mile has 4 quarter miles.
2.5 miles are covered.
4×2.5=10
Pls help
Find the quotient of 4.13 × 10^−8 and 0.04 × 10^5. In two or more complete sentences, explain each step in your calculations. Include the quotient as part of your final answer.
Answer:
[tex]q=1.03\times 10^{-11}[/tex]
Step-by-step explanation:
Given that,
First number [tex]=4.13\times 10^{-8}[/tex]
Second number [tex]=0.04\times 10^{5}[/tex]
We need to find the quotient of first and the second number. It can be calculated by taking [tex]=4.13\times 10^{-8}[/tex] at numerator and [tex]=0.04\times 10^{5}[/tex] at denominator such that,
[tex]q=\dfrac{4.13\times 10^{-8}}{0.04\times 10^5}\\\\=\dfrac{4.13}{0.04}\times 10^{-8-5}\\\\=103.25\times 10^{-13}[/tex]
or
[tex]q=1.03\times 10^{-11}[/tex]
So, the final answer is [tex]1.03\times 10^{-11}[/tex]
What is an angle that is adjacent to <2?
(PLEASE)
Answer:
∠3 and ∠1 are correct
Step-by-step explanation:
adjacent angles are next to each other with a common vertexand side
Find the mean of 86, 87, 91, and 128
Answer:
98
Step-by-step explanation:
Answer:
296
Step-by-step explanation:
I hope this helps you out!
Need help fast!!
Read the problem in the box below. See if you can figure out the most logical
answer.
If Jay ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday,
and 3 miles in 18 minutes on Wednesday, how many miles do you think he
might run in 24 minutes on Thursday?
A. 4 miles
B. 3 miles
C. 5 miles
D. 2 miles
SUBMIT
Answer:
4 miles
Step-by-step explanation:
four times six equals 24
its the number of miles times six equals the minutes
The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00
Answer:
0.015 or 1.5% tax
Step-by-step explanation:
90000x0.015 = 1350
b. (1-4) Name two obtuse
angles in the shape
below:
Answer
ADC and BDC
Explain:
Answer:
Same like other users
Help please will mark brainliest!!
Solve for x and round to the nearest tenth
Answer:
i think its 18 :))
all 3 are solve for x:
24.
25.
26.
24: x= 33
25: x=21
26: x= 11
A random variable X has a lognormal distribution if Y = ln X has a normal distribution. For this problem, assume that Y has a mean and standard deviation of 0.353 and 0.754
(a) What are the possible values X can take?
(b) What is the probability that X is between 1 and 2?
Answer:
Step-by-step explanation:
From the given information:
For X to be valid, the possible values of X should be greater than zero i.e. X > 0
If X obeys a lognormal distribution
Then; Y = In X
So,
Now,
[tex]E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2[/tex]
[tex]E(X) = 1.8913[/tex]
Also;
[tex]V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}[/tex]
V(X) = 2.7387
∴
SD(X) = 1.6549
[tex]P(1 < X < 2) = P(X < 2) - P(X < 1)[/tex]
= 0.108
I need help ASAP please
Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.