Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{80}[/tex]
[tex]\sqrt{16} \sqrt{5}[/tex]
[tex]4\sqrt{5}[/tex]
1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.
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.
If car a drive 300 miles and 6 hours and karbi drive 50 miles in a certain amount of time what is the unknown
Answer:
1 hour
Step-by-step explanation:
300/6= 50
in one hour he drives 50 miles
so the answer is 1 hour
Given r(x) = x2 - 4x2 + 4x – 6, find the value
of r(2). What does your answer tell you about x-2 as a
factor of r(x)? Explain.
Answer:
We are given r(x)Additionally we are given that x=2 Hence: 4-16+8-6=10I can’t figure out the surface area. Someone please help !! :)
Step-by-step explanation:
diameter is 8•5
radius is d/2
8•5/2
=4•25
surface area = 4πr^2
4×22/7×4•25×4•25
=1589•5/7
=227•1
Volume= 4/3πr^3
4/3×22/7×4•25×4•25×4•25
4/3×22/7×76•76
=321•7
Hope it helps
plz mark as brainliest
Find the sum of 2 4/5 + 1 3/9
Answer:
4 2/15
Step-by-step explanation:
4 x 9 = 36 3 x 5 = 15 5 x 9 = 45
36/45 + 15/45 = 51/45 = 1 6/45
1 + 2 + 1 = 4 + 6/45 = 4 6/45= 4 2/15.
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
Answer:
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
The system has infinitely many solutions
Step-by-step explanation:
Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.
Since the matrix contains 3 rows there can be 3 nonzero rows and consequently
3 lead variables at most after we compute the row echelon form of the matrix
At least of the variables is free variables is free variable.
The system has infinitely many solutions
Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answer:
Because 8x6 gives you the same figure.
Step-by-step explanation:
Jane has an aquarium made up of two rectangular prism-shaped containers, as shown in the figure below. What is the volume of water in the aquarium?
Answer:
a
Step-by-step explanation:
Answer:
fhbfxchb xf ncvjn cvncb
Step-by-step explanation:
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t-4(2+t)=20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer:
c
Step-by-step explanation:
How many ways can three balls of different colors yellow, red, and green be put in a can
Answer:
If I'm doing this right its 6 ways
Step-by-step explanation:
yrg, rgy, gyr, ygr, gry, ryg
I hoped this helped
Tyler filled up his hot tub, which is a right rectangular prism, with 480 cubic feet of water. The hot tub is 12 feet long and 10 feet wide. What is the depth of the water in the hot tub?
Answer:
volume for a rectangular prism is length*width*height
480 = l * w * h (the volume equal to the equation. plug in values you know)
480 = 12 * 10 * h (multiply the right side)
480 = 120h (divide both sides by 120 to isolate the height)
height = 4 feet
height of the bathtub and depth are the same thing, so your answer is 4 feet
Step-by-step explanation:
I hope this helps :))
What is the next three numbers in pattern?
3,9,4,16,5,25,
Answer:
3, 9, 4, 16, 5, 25, 6, 36, 7
Marking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answer:
[tex]11.1\: \mathrm{g}[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.
Answer:
I need this answer ASAP
Step-by-step explanation:
PLZ HURRY
Which linear function has the steepest slope?
Answer:
The chart has the steepestt slope
Step-by-step explanation:
The graph has a slope of -3 since it is falling
ANd the table gets you a slope of 1
1>-3
So the table/chart has the steeper slop
Jessica locates her garden using a coordinate grid with yards as the units. The two points
(-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?
Answer:
These two corners are [tex]\sqrt{13}[/tex] units apart.
Step-by-step explanation:
Distance between two points:
Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Approximately how far apart are the two corners?
We have to find the distance between the points (-5,-2) and (-8-3). So
[tex]D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}[/tex]
These two corners are [tex]\sqrt{13}[/tex] units apart.
PLEASE HELP ME~!!!!!!!
Answer: y= 5x + 3
Step-by-step explanation:
Lol literally so easy when you understand it so:
the formula for slope intercept form is:
y= mx + b
in this case just plug in the values
hope this helps ;)
also can I get brainliest pls?
Need help asap! Question: How many 3/4's are in 2?
Use this statement to answer the following questions.
Answer:
two
Step-by-step explanation:
Answer:
Because we want to know how many three-fourths there are, we have to make groups of 3 fourths, or divide the number of fourths we have by 3. So there are (2\times 4)\div 3 = 8\div 3 = 2 \frac23 three-fourths in 2.
Step-by-step explanation:
⚠️ANSWER NEEDED FAST⚠️
Joey bought a dozen oranges for $3.50 and several bananas for $0.25 each at the
grocery store. Joey spent a total of $5.75 on the fruit. Which number line best
represents the number of bananas Joey purchased?
Answer:
Step-by-step explanation:
9
Answer:
(9)
Step-by-step explanation:
(D)
Pete has three dollars less than what Linda has. if together has 81 dollars how much does a person have? I NEED HELPP I CAN MAKE YOU THE BRAINLIEST
Answer:
39$ for Pete
42$ for Linda
Step-by-step explanation:
Brainliest pls :)
192
7) 1/2+1/2=
Your answer
Answer:
1 is the answer as 0.5 +0.5=1
haha help me be brainiest
Answer:
0.5+0.5=1
hahaha
it's so easy
matt would like to share 5/8 of a pound with 4 with his 3 friends how many pound of chocolate will each of the 4 people receive
Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% are shipped to the people other than the person placing the order. Gift wrapping is requested for 60% of the orders being shipped to other people, but for only 10% of the orders shipped to the person making the order.
a. What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
b. What is the probability that a randomly selected order will be gift wrapped?
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically?
Answer:
0.18 ; 0.1875 ; No
Step-by-step explanation:
Let:
Person making the order = P
Other person = O
Gift wrapping = w
P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10
What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
Using the relation :
P(W|O) = P(WnO) / P(O)
P(WnO) = P(W|O) * P(O)
P(WnO) = 0.60 * 0.3 = 0.18
b. What is the probability that a randomly selected order will be gift wrapped?
P(W) = P(W|O) * P(O) + P(W|P) * P(P)
P(W) = (0.60 * 0.3) + (0.1 * 0.7)
P(W) = 0.18 + 0.07
P(W) = 0.1875
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically
No.
For independent events the occurrence of A does not impact the occurrence if the other.
A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit
Answer:
62.06%
Step-by-step explanation:
Given that,
CP of an electronic unit = $580
SP of an electronic unit = $940
We need to find the percent markup in the price of each unit. It can be done as follows :
[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]
So, the required answer is 62.06%.
what is 4 divided by 8464
Answer:
4 divided by 8464 equals 0.00047258979
8464 divided by 4 equals 2,226
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
9n - 7 = 5n - 19
What is n and why did you do that
Answer:
n=-3
Step-by-step explanation:
1) subtract 5n from both sides
2) Add 7 to both sides
3) divide both side by 4
Hope this helps
Angle A is circumscribed about circle O. What is the measure of A?
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation:
What is the solution to this equation?
x/2 - 7 = 15
a. 4
b.11
c.16
d.44
Camp Oaks gets 32 boxes of orange juice and 56 boxes of apple juice. Each shelf in the cupboard can hold 8 boxes of juice. What is the least number of shelves needed for all the juice boxes?
Answer:
At least 11 shelves are needed for all the juice boxes.
Step-by-step explanation:
Given that:
Boxes of orange juice = 32
Boxes of apple juice = 56
Total boxes = 32+56 = 88
As one shelf can hold 8 boxes of juice.
Number of shelves = [tex]\frac{88}{8}[/tex]
Number of shelves = 11
Hence,
At least 11 shelves are needed for all the juice boxes.
△ KLM ∼ △ KCB . What is the value of x?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]
Cross-multiply and solve:
[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].
A store owner orders 25 calculators that cost $41 each. The store owner can sell each calculator for $50. The store owner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $5 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answer:
$183
Step-by-step explanation:
He buys 25 calculators for $41 each meaning he spends $1025 in total. He was able to sell 22 calculators for $50 which amounts to $1,100. He then returns and is refunded for the original price of the 3 calculators meaning he gets $123 dollars back but he also has to pay $5 for each calculator he returned which takes away $15 from his profit. $123-$15= $108. ($1,100+$108)-$1025=$183.