Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder
Answers
Explanation :(x)^2=(11.5)^2+(3.5)^2
X^2=132.25+12.25
X^2=144.5 then square root it
X=12 feet
Hence, the approximate length of the ladder is [tex]12ft[/tex].
What is the approximation value?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.
A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]
Hence, the approximate length of the ladder is [tex]12ft[/tex].
To know more about the approximation value
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Related Questions
Please help me solve this problem
Answers
Answer:
72 in²
Step-by-step explanation:
lateral area: the surface area of a 3D figure, but excluding the area of any bases
the lateral area of this prism is the sum of the three rectangular sides.
calculate the third side of the triangle first because it's also the side of one of the rectangle:
√(5² - 4²) = 3
4 × 6 + 5 × 6 + 3 × 6 = 72
You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?
Answers
Answer:
1/16
Explanation:
You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16
7k-6,2k+14 solve for K
Answers
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
can someone help me.?!
Answers
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
S(x)=5x+5
T(x)=_3x +4
The value of t(s(2))
Answers
Answer:
Step-by-step explanation:
This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.
s(2) = 5(2)+ 5 so
s(2) = 15. Now we evaluate the t function at 15:
t(15) = 3(15) + 4 so
t(15) = 49
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answers
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
50 POINTS
Solve by linear combination
2x-4y=4
x-4y=10
Write your answer as an ordered pair with no spaces (x,y)
Answers
Answer:
(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1
Substracting both
[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]
Putting in eq(2)
[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]
[tex]\\ \sf\Rrightarrow -4y=16[/tex]
[tex]\\ \sf\Rrightarrow y=-4[/tex]
Hence our solution is
(x,y)=(-6,-4)Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4?
A: 1/4
B: 1/24
C: 1/6
D: 1/16
Answers
Answer:
(1/4)×4=1/16
Step-by-step explanation:
Blue is 1 out of the 4 colours, it rolls for 4 times
if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number
Answers
9514 1404 393
Answer:
900
Step-by-step explanation:
Let x represent the number. The given relationship is ...
(3/5)x = 2 +(2/3)x
-2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides
-30 = x . . . . . . . . . . multiply by 15
Then the square of the number is ...
x² = (-30)² = 900
If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to "complete the square"?
Answers
Answer:
49
Step-by-step explanation:
the number would simply be
14÷2=7
7²=49
The length of one rectangle in a quilt is 6 inches. Its width is 3 inches. About how many of these rectangles do you need to cover an area of 7,500 square inches?
Answers
Step-by-step explanation:
Area=2(L+W)
A=2(6+3)
A=2(9)
A=18in²
therefore, 7500/18
=416.66in²
12. Which statement best describes the effects on the graph of f(x) = log2 xwhen f(x) is replaced by
f(x-2) + 1?
a. The graph is vertically stretched by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
b. The graph is vertically compressed by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
c. The graph is horizontally stretched by a factor of 3, horizontally translated 2 units left, and
vertically translated 1 unit up
d. The graph is vertically compressed by a factor of , vertically translated 2 units down, and
horizontally translated 1 unit left.
Answers
Answer:
B.
Step-by-step explanation:
Hope it helps thx#CARRYONLEARNING!find 11/25 of a liter
Answers
Answer:
0.44l
Step-by-step explanation:
a litre=1l
11/25 of it=11/25×1l
=0.44l
Answer:
A litre=1 l
Or, 1/25×1
=0.44.
Which Which value of x makes this equation true? -3x+10=5x-8
value of x makes this equation true? -3x+10=5x-8
Answers
Answer:
9/4
Step-by-step explanation:
-3x+10=5x-8
or, -3x-5x = -8-10
or, -8x=-18
or, 8x=18 (i.e. - is cancelled)
or, x=18/8
i.e. x=9/4
Hence, the value of x is 9/4
Answer:
The value of x is 9/4
Step-by-step explanation:
-3x+ 10 = 5x - 8
Add 3x both side
-3x + 3x + 10 = 5x + 3x - 8
10 = 8x - 8
Now, Add 8 both side
10 + 8 = 8x - 8 + 8
18 = 8x
8x = 18
Now, Divide by 8 from both side
8x/8 = 18/8
x = 9/4
Thus, The value of x is 9/4
FOR VERIFICATION ONLY:-3x + 10 = 5x - 8
-3(9/4) + 10 = 5(9/4) - 8
-27/4 + 10 = 45/4 - 8
-27 + 4 × 10/4 = 45 - 8 × 4/4
-27 + 40/4 = 45 - 32/4
13/4 = 13/4
Hence, L.HS = R.H.S
-TheUnknownScientist
If the graph of f(x) = |x| is shifted up 5 units, what would be the equation of the new graph?
A. g(x) = |x + 5|
B. g(x) = |x| + 5
C. g(x) = |x| - 5
D. g(x) = |x - 5|
Answers
Answer:
B. g(x)= |x| + 5
Step-by-step explanation:
-5 represents a vertical shift down, so that narrows it down to either A or B. A shows a shift across the horizontal (X) axis, so it must be B.
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answers
Answer:
33% of the people preferred onions
can i get brainliest now lol
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answers
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
HELP ASAP!!!!!!
Colin saved $30 in July, $21.50 in August, and $50 in September. He spent $18 on video games and $26.83 on books. How much money does Colin have left?
Answers
= $56.67
The point (-8,0) reflected in the x-axis is
Answers
Answer:
That would be (8,0) my good sir ( ma'am )
Step-by-step explanation:
Have a nice day
Find the quotient for 5,600÷8
Answers
Answer:
700
Hope this helps!!
Answer:
700
Step-by-step explanation:
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
Answers
Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
¿Existen o no existen los números?.
Answers
si existen pero que tipo de números? porque si existen
2. If an older television with an aspect ratio of 4:3 has a screen area of 1550 square inches, but the image displayed has an aspect ratio of 16:9, how much area does the image actually occupy? First determine what percent of the screen does the image occupy?
a. 825.5 sq. in.
b. 1162.5 sq. in.
c. 1181.5 sq. in.
d. 1375.5 sq.in.
Answers
If not let me know
A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tallman is walking towards the wall at the rate of 30 feet per second. How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall
Answers
Answer:
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Step-by-step explanation:
Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.
To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?
Proof -
From the given information, the figure becomes
Triangle ABC and Triangle DBE are similar triangle
AC/DE = BC/BE
⇒h/6 = 200/(200-x)
⇒h = 1200/(200 -x)
Now,
Differentiate h with respect to t, we get
[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]
Now,
If the rate of the tip is moving down the wall
At x = 50 feet, dx/dt = 30 feet per second
So,
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]
So, we get
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Paula needs to replace the floor in her family room since her cat peed in several places. She wants to put down both vinyl flooring and carpet in the room. The carpet she selected costs $2 per sq. foot. The vinyl floor covering costs $1 per sq. foot. She has $500 to spend on materials and must cover an area of 300 sq. feet. How much carpet and vinyl flooring will she buy to meet her requirements?
Answers
Answer:
c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.
Step-by-step explanation:
the anwser
Was Thomas Jefferson a federalist or anti-federalist?
Answers
Answer:
He was an Anti-federalist
Step-by-step explanation:
Answer:
Anti-federalist
Step-by-step explanation:
The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.
Find the volume of this solid figure. Use π = 3.14.
WITH SOLUTION PLEASE AND NO LINKS!
Answers
Step-by-step explanation:
you can get simply V= ABh πr^2 h π3.14^2 x 17.9 then you get the answer Ihope I can help you
just need a bit of help
Answers
Answer:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches
Answers
Answer:
D. 3120
Step-by-step explanation:
How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.
For Part B: Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?
Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.
What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!
8*13=104
6(104)=624
624+240=864
Arianna earns $15 for doing yard work for 3 hours. If Arianna charges at the same rate, how many hours will it take her to
earn $35? hours
Answers
Answer:
7 hours
Step-by-step explanation:
15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.
Answer: 7 hours
Step-by-step explanation:
She earns 5 dollars per hour because 5x3=15
and then you do 15x2=30
then 3x2=6
then just add 1 to 6
6+1=7
so there's your answer
7 hours