Answer:
17.5m
Step-by-step explanation:
We solve using the formula
Height /Shadow
Height of flag staff = 7m
Shadow of flag staff = 8.2 m
Height of the building = x
Shadow of the building = 20.5
= 7/8.2 = x/20.5
Cross Multiply
8.2x = 7 × 20.5
x = 7 × 20.5/8.2
x = 143.5 / 8.2
x = 17.5m
The height of the building is 17.5 m
2. ALMN and APMN are shown below. What additional information is necessary to prove
ALMN = APMN by HL?
Help please!!!
Answer:
The additional information necessary is option;
D. [tex]\overline {MN}[/tex] ⊥ [tex]\overline {LP}[/tex]
Step-by-step explanation:
From the given figure, we have;
Given that ML ≅ MP,
The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg
To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles
For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°
With ∠LNM = ∠PNM = 90°, then, line [tex]\overline {MN}[/tex] is perpendicular to line [tex]\overline {LP}[/tex] or [tex]\overline {MN}[/tex] ⊥ [tex]\overline {LP}[/tex]
Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is [tex]\overline {MN}[/tex] ⊥ [tex]\overline {LP}[/tex].
visitors spend 1/3 of their time waiting in line for rides. Of the santos family spends 53/4 hours at the park how long do they wait in line
Answer: 1 11/12 hours
Step-by-step explanation:
Since visitors spend 1/3 of their time waiting in line for rides and the Santos family spends 5¾hours at the park.
The tune spent waiting in line will be calculated by multiplying ⅓ by 5¾. This will be:
= ⅓ × 5¾
= ⅓ × 23/4
= 23/12
= 1 11/12 hours
Therefore, they'll wait in the park for 1 11/12 hours
What are the x-intercepts of y = x^2 + 5x - 1?
Answer:
hope this helps:) have a good day
please...............
Answer: A and D
Step-by-step explanation:
If you read 340 pages in 45 minutes how many pages do read in 1 minute
Answer:
7 5/9
Step-by-step explanation:
340/45 = 7 5/9
Answer:
7.6 pages
Step-by-step explanation:
Okie, so this is a standard unit rate problem, so what you're going to do is divide the number of whatever, in this case, pages, by the time, so:
340 ÷ 45 = 7.6 (rounded)
So you read 7.5 pages per minute
(which is pretty impressive if it's a chapter book)
hope this helps:)
100 POINTS!! PLEASE HELP IM REALLY CONFUSED
Answer:
1:
<A=½(arcJL)=½(70+120)=35+60=95°
[inscribed angle is half of central angle]
2:
<W=½arcVX=½(130)=65°
[inscribed angle is half of central angle]
3.
<E=½(arcDC)=½(90)=45°
[inscribed angle is half of central angle]
4.
<R=½(arcXZ)=½(110+62)=86°
[inscribed angle is half of central angle]
5.
<B=½(arc DC)=½×104°=52°
[inscribed angle is half of central angle]
6.
<K=90°
[inscribed angle in a diameter is complementary]
<K+<J+<L=180°(sum of interior angle of a triangle]
<L=180°-90°-53°=37°
again
arc JK=2×<L=2×37=74°
Links will be reported!
You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. There are 4 marbles. One yellow, one red, one green, and one blue. Name two ways you can find the total number of possible outcomes.
PLease help with this
Answer:
huh
Step-by-step explanation:
y = -5x+1
y = 3x – 2
Is (3.8) a solution of the system?
Answer: No, 3.8 is not a solution.
Step-by-step explanation:
Set -5x+1 equal to 3x-2
-5x+1=3x-2 subtract 3x making it -8x+1=-2 subtract one from both sides and get -8x=-3 divide by -8 and get -3/-8 which equals in decimal form 0.375
Check it
plug in 0.375 for X
-5(0.375)+1= -0.875
3(0.375)-2 = -0.875
It checks out ^_^
find the area 10ft 2 1/2
Answer:
if your trying to find the area of 10ft and 2 1/2 all you gotta do is turn the 2 1/2 in a decimal and multiply it by 10 which is 25
Step-by-step explanation:
A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).
The diameter of the sphere is ___ inches.
Answer:
diameter = 36 in.
Step-by-step explanation:
V = 4π r^3/3
24416.64 = (4(3.14) r^3)/3
73249.92 = 12.56 r^3
r^3 = 5832
r = cube root of 5832 = 18
diameter = 36 in.
What is a simpler form of (3x-4)(x+2)?
Answer: 3x^2+2x-8
Step-by-step explanation:
Answer:
3xto the power of 2+2x -8
An urban planner wants to create a city block. The city block will be 50 feet by 75 feet. What will the dimensions of his scale drawing be if the drawing has a scale factor of 1 cm = 12.5 ft?
Answer:
The dimensions of his scale drawing = 4 cm by 6 cm
Step-by-step explanation:
An urban planner wants to create a city block. The city block will be 50 feet by 75 feet. What will the dimensions of his scale drawing be if the drawing has a scale factor of 1 cm = 12.5 ft?
From the above question
12.5 ft = 1 cm
Hence
For 50 feet
12.5 feet = 1 cm
50 feet = x
Cross Multiply
12.5 × x = 50
x = 50/12.5
x = 4 cm
For 75 feet
12.5 feet = 1 cm
75 feet = x
Cross Multiply
12.5 × x = 75
x = 75/12.5
x = 6 cm
The dimensions of his scale drawing = 4 cm by 6 cm
Please solve this quadratic equation:
3^2x -9 =0
Answer:
[tex] {3}^{2} x - 9 = 0 \\ 9x = 9 \\ x = 1[/tex]
A cylinder has a radius of 4 inches and a height of 5 inches. If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders? Answer in terms of Pi.
Answer:
336π in²Step-by-step explanation:
Cylinder 1
r₁= 4 inh = 5 inCylinder 2
r₂ = 3*4 = 12 inh = 5 inSurface area of cylinders:
S = 2πr(r + h)S₁ = 2π*4*(4 + 5) = 72π in²S₂ = 2π*12*(12 + 5) = 408π in²The difference is:
S₂ - S₁ = 408π - 72π = 336π in²A cylinder has a radius of 4 inches and a height of 5 inches. If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ? Answer in terms of Pi.
Answer:-Given:-A cylinder has a radius of 4 inches and a height of 5 inches.
To Find:-If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ?
Solution:-Let in case of 1st cylinder,[tex] \bullet [/tex] Radius [tex] (r_1) [/tex] is 4 inches
[tex] \bullet [/tex] Height is 5 inches
And in case of 2nd cylinder,[tex] \bullet [/tex] Radius [tex] (r_2) [/tex] is 3 × 4 = 12 inches [as in the question it is given that the radius of the cylinder is tripled]
[tex] \bullet [/tex] Height is 5 inches
Now,
Surface area [tex] (s_1) [/tex] of 1st cylinder
is 2πr(r + h) = 2π × 4(4 + 5)
= 8π(9)
= 72π sq inches
Surface area [tex] (s_2) [/tex] of 2nd cylinder
is 2πr(r + h) = 2π × 12(12 + 5)
= 24π(17)
= 408π sq inches
[tex] \therefore [/tex] The difference in the surface areas of the two cylinders is = [tex] (s_2 \: - \: s_1) [/tex] = (408π - 72π) = 336π sq inches
The difference in the surface areas of the two cylinders is 336π sq inches. [Answer]please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
The sum of two numbers is 12 and there diffrence is 8 find the 2 numbers
Answer:
10 and 2
Step-by-step explanation:
a + b = 12
a - b = 8
let 'a' = 8 + b
substitute:
8 + b + b = 12
2b + 8 = 12
2b = 4
b = 2
a must be 10 then
describe the correlation in the scatterplot below.
The first lines options are- positive linear, positive linear with no outliers, negative linear, negative linear with no Outlier, nonlinear, and no
The second line options are- decrease Obama increase , show no pattern and follow a non-linear pattern
Answer:
no and show no pattern
Step-by-step explanation:
with scatter plots like these, there is no exact information at all, what so ever
please help meeee please
Simplify the expression. 3x - (2x + 4) + 5
Answer:
x
+
1
Step-by-step explanation:
Answer:
= x + 1
Step-by-step explanation:
In order to run a roller coaster at the fair more then 27 people need to ride. If 12 people were in line,which number sentence would show how many more people would need to be in line to ride the roller coaster a x+12<27 b x+ 12 >27 c 27-12>x d 12-x>27
Answer:
B
Step-by-step explanation:
Since it says there has to be MORE than 27 people, 12 + x should be more than 27
Please help, Does this graph show a constant or variable rate of change?
Answer:
constant
Step-by-step explanation:
Answer:
pretty sure it's a variable change
Step-by-step explanation:
The value is decreasing by a different number each time, in the same interval
Marcos sells snow cones in the summer. He uses a cone with a radius of 1.5 inches and a height of 5 inches. If he fills the snow cone to the rim with ice before pouring on the syrup. About how much ice will it take to fill the cone?
Answer: [tex]11.78\ in.^3[/tex]
Step-by-step explanation:
Given
Radius of cone [tex]r=1.5\ in.[/tex]
Height of cone [tex]h=5\ in.[/tex]
Ice required to fill the cone=Volume of cone
The volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Put values
[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 1.5^2\times 5=11.78\ in.^3[/tex]
Mr. Rockwell's class is holding a canned food drive for charity. Kim collected 10 more cans than Stephanie. Natasha collected twice as many cans as Kim. If they collected 130 cans altogether, how many cans did Kim collect?
Answer:
35 cans
Step-by-step explanation:
big brain
Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of 672 miles per hour. How long does it take Penny to fly to her sister's house?
Answer:
0.81 hour
Step-by-step explanation:
Given data
Distance= 544.32 miles
Speed= 672 miles per hour.
We know that
Speed= distance/time
Substitute
672= 544.32/time
cross multiply
time*672= 544.32
time= 544.32/672
time= 0.81 hour
(Help me please!) What are the 2 closest integers to 0.001 (if you say 0.000 and 0.002, just telling you its wrong I tried, anyways, PLS HELP!)
Answer:
1 and 0
Step-by-step explanation:
Zero is an integer
For Anya's birthday her father gave out colorful birthday hats that were cone shaped. Anya was very happy that day. The opening of the bottom of the hat was 5 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the approximate volume, in cm^ ^ 3 , of candy?
What is the y-intercept of a line whose equation is y = -3x - 4
Answer:
(0, -4)
Step-by-step explanation:
To find the y-intercept, set x equal to zero:
y = -3(0) - 4, or y = -4, or (0, -4)
Answer: (0,4)
Step-by-step explanation:
Isaac has a points card for a movie theater. He receives 45 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket.
Answer: 10 visit
Step-by-step explanation:
Given
45 Points earned by signing up
11.5 points earned for each visit to the theatre
160 points are needed for a movie ticket
Suppose, after x visit he gets enough points to buy a movie ticket
[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]
So, after 10th visit, he earns a movie ticket
helpppp plsssssssssssssssssssss quick
