Answer:
La altura de la catedral es de 15119,97 m.
Step-by-step explanation:
Para una respuesta única, la pregunta se formula de la siguiente manera:
Una catedral se encuentra en la cima de una colina. Cuando se ve la parte superior de su torre desde la parte inferior de la colina, el ángulo de elevación es de 48 °. Cuando se ve desde un punto a 6096 m del pie del promontorio, el ángulo de elevación es de 41 °, la pendiente de la colina forma un ángulo de 32 ° Se aproxima a la altura de la catedral
Deje que la base de la colina = C
El punto 6096 m de la base = A
La cima de la catedral = B
∴ ∠A = 41 °
∠C = 180-48 = 132 °
∠B = 180 - (41 + 132) = 7 °
[tex]\dfrac{6096}{sin7} = \dfrac{CB}{sin41}[/tex]
∴ CB = 32816.59 m.
Punto E = Base de la catedral.
Punto D = Punto debajo de la base de la catedral al nivel del pie de la colina
Por lo tanto, la altura de la catedral = BE
∡ABE = 90-41 = 49 °
∡CED = 90-32 = 58 °
∴ ∡CEB = 180 - 58 ° = 122 °
De la regla seno tenemos;
[tex]\dfrac{CB}{sin(\angle CEB)} = \dfrac{BE}{sin(\angle ECB)}[/tex]
∠EBA = 90 - 48 = 42°
∠EBC = 42 - 7 = 35°
∠ECB = 180 - 35 - 122 = 23°
[tex]\therefore \dfrac{32816.59 }{sin(122)} = \dfrac{BE}{sin(23)}[/tex]
[tex]BE = \dfrac{32816.59 }{sin(122)} \times sin(23) = 15119.97 \ m[/tex]
La altura de la catedral = 15119,97 m.
2/v-7+v-6/v^2-7v=4/v-7
Answer:
v≈ -1.65573 ,v≈6.91725
Step-by-step explanation:
[tex]\frac{2}{v}-7+v-\frac{6}{v^2}-7v=\frac{4}{v-7}\\\mathrm{Find\:Least\:Common\:Multiplier\:of\:}v,\:v^2,\:v-7:\quad v^2\left(v-7\right)\\=\frac{2}{v}v^2\left(v-7\right)-7v^2\left(v-7\right)+vv^2\left(v-7\right)-\frac{6}{v^2}v^2\left(v-7\right)-7vv^2\left(v-7\right)=\frac{4}{v-7}v^2\left(v-7\right)\\Simplify\\=2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2\\\mathrm{Solve\:}\:2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2:\\[/tex]
[tex]v[/tex] ≈ -1.65573
[tex]v[/tex] ≈ 6.91725
v=0, v=7
Answer:
v=0, v=7
Step-by-step explanation:
Triangle
A
′
B
′
C
′
is the image of
Triangle
A
B
C
under a rotation about point
Q
Determine the angle of rotation
A:-165 degrees
B:-120 degrees
C:165 degrees
D:120 degrees
Answer:
The correct answer is 120. Thank me later.
Step-by-step explanation:
Order the probability of each event from least (on top) to greatest (on bottom).
Answer:
The sum is less than 5
The sum is odd
The sum is not 7
The sum is not 12
Step-by-step explanation:
P(The sum is less than 5) = 6/36 = 1/6
P(The sum is odd) = 18/36 = 1/2
P(The sum is not 7) = 1 - 6/36 = 30/36 = 5/6
P(The sum is not 12) = 1 - 1/36 = 35/36
Answer:
The sum is less than 5
The sum is odd
The sum is not 7
The sum is not 12
Step-by-step explanation:
what is the measure of theta in radians?
Answer:
1.5 radians
Step-by-step explanation:
theta= arc length/radius
6/4= 1.5 radians
pls help what are u supposed to do?
Answer:
plz give brainlyst anwser but it is depentendent
Step-by-step explanation:
What is the area A of each cookie ?
Answer:
16pi or approx. 50.26
Step-by-step explanation:
Since the diameter of each cookie is 8 cm, the radius of each cookie will be 4 cm. We can use the area of the circle formula (A = πr²), we can find that the area of each cookie is 16π, or around 50.26
Answer:
A = 16π
I hope I helped you! If I am correct, please mark me brainiest. Thanks!
1. 10pints = ? quarters
2. 48fl oz = ? cups
3. 36pints = ? quarters
4. 5 gallons = ? cups
5. 72 pints = ? gallons
6. 7 cups = ? fl oz
7. 30 quarters = ? gallons
8. 32 cups = ? gallons
Answer:
1. 5quarts
2. 6 cups
3. 18 quarts
4. 80 cups
5. 9 gallons
6. 56fl oz
7. 7.5 gallons
8. 2 gallons
Step-by-step explanation:
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
As I divided in the picture,
Total area = area of triangle + area of 2 rectangles
= base x height/2 + length1 x width1 + length2 x width2
= 15 x (15 + 3 + 5 - 3)/2 + 3 x 4 + 8 x (3 + 5)
= 226
Hope this helps!
:)
Need answer ASAP giving 10 points
Answer:
Step-by-step explanation:
6x10^8 = 600000000
1.5x10^-4 = 0.00015
600000000 divided by 0.00015 = 4e+32
4e+32 is the same as 4x10^-32
(Can you mark as brainiliest)
I need help with maths
Answer:
what's your question?
Step-by-step explanation:
If a aquadrilateral is equiangular, then it coul be a .....
Multiple choice. A. square
B.rectangle
C.rhombus
D.parallelogram
Answer:
Square
Answer A is correct
Answer:
A- square is the answer
Asked 4 times, please help
Answer:
Denote the two points are A and B, the balloon is C. Then we have,
Side AB = 9 miles
Angle CAB (angle A) = 27 deg
Ange CBA (angle B) = 45 deg
=> Angle ACB (angle C) = 180 - 27 - 45 = 108 deg
Applying the sine theorem:
AB/sinC = BC/sinA
=> BC = AB x sinA/sinC = 9 x sin27/sin108 = 4.3 miles
Denote CH as the height from C to side AB (or distance from ground to balloon), we have:
CH = BC x sin B = 4.3 x sin*45 = ~3.04 miles
=> Distance from ground to balloon: ~3.04 miles
Hope this helps!
:)
Answer:
3.0 miles
Step-by-step explanation:
Let h be the height
Tan(27) = h/b
h = btan(27)
Tan(45) = h/(9-b)
(9-b)tan(45) = h
(9-b)tan(45) = btan(27)
9tan(45) = b[tan(45) + tan(27)]
b = 5.962138633
h = btan(27) = 3.037861367
The following wedge prism has a volume of
(1) 12.5 cubic inches
(2) 19 cubic inches
(3) 27 cubic inches
(4) 54 cubic inches
Answer:
The volume of the prism is 27 cubic inches.
Step-by-step explanation:
In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:
[tex]Volume = \frac{1}{2}*b*h*l[/tex]
Applying the data from the problem on the equation above, we have:
[tex]Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27[/tex]
The volume of the prism is 27 cubic inches.
a square blanket has an area of 64 square feet. find the length of one side of the blanket
Answer:
The length of one side of the blanket is [tex]8ft[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a square shape.In this problem we are expected to find the side of the square shape.
we know that the area of the square is expressed as
[tex]area= length * width[/tex]
but a square shape has all sides equal hence
[tex]area= length* length\\[/tex]
[tex]area= l^{2}[/tex]
substituting our area and squaring both side to find l we have
[tex]64= l^{2} \\l= \sqrt{64} \\l= 8 ft[/tex]
state whether -4^{2} and (-4)^{-2} represent the same quantity. Explain.
Answer:
No
Step-by-step explanation:
-4^2 is -4 * 4 = -16
(-4)^2 = (-4) * (-4) = 16
A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nearest whole number.
Answer:
the volume of the sphere is
[tex]33.51 in^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
[tex]v= l*b*h[/tex]
[tex]v=l^{3}[/tex]
[tex]64= l^{3}[/tex]
[tex]l= \sqrt[3]{64}[/tex]
[tex]l= 4 in[/tex]
also diameter d=length l
Diameter d= [tex]4in[/tex]
Radius r = [tex]\frac{d}{2}[/tex]= [tex]\frac{4}{2}[/tex]= [tex]{2 in}[/tex]
Height h=[tex]4in[/tex]
we know that the volume of a sphere is given by
[tex]v= \frac{4}{3} \pi r^{3}[/tex]
substituting into the formula we have
[tex]v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}[/tex]
At a sale, dresses were sold for $90 each. This price was 75% of a
dress's original price. How much did a dress originally cost?
Answer:
A dress originally costs $120
Step-by-step explanation:
To find the original cost of the dress, we will follow the steps below;
let x represent the original cost of the dress
75% of x = $90
[tex]\frac{75}{100}[/tex] × x = $90
[tex]\frac{75X}{100}[/tex] = $90
MULTIPLY both-side of the equation by 100
[tex]\frac{75X}{100}[/tex] × 100 = $90×100
At the right-hand side of the equation, 100 will cancel out 100, leaving us with just 75x
75x = $9000
DIVIDE both-side of the equation by 75
75x/75 = $9000/75
At the left-hand side of the equation 75 will cancel-out 75 leaving us with just x
x= $9000/75
x = $120
A dress originally costs $120
Skylar drove 280 miles in 5 hours. If she continued at the same rate, how far would
she travel in 20 hours?
Answer:
1,120
Step-by-step explanation:
If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120
Claire Reagan and Anthony deliver newspapers in the neighborhoods clear deliver 79 papers a day Reagan delivers 2490 papers a month Anthony delivers 616 papers a week how many do they deliver together in a year
Answer:
90,747
Step-by-step explanation:
Clair delivery=79 per day
Total delivery per year=79×365 days
=28,835
Reagan delivery=2490 per month
Total delivery per year=2490×12 months
=29,880
Anthony delivery= 616 per week
Total delivery per year =616×52 weeks
=32,032
Total delivery altogether in a year=28,835+29,880+32,032
=90,747
Answer:
Step-by-step explanation:
Clair delivers 79 papers a day.
Assuming that there are 365 days in a year, it means that the number of newspapers that Clair delivers in a year is
79 × 365 = 28835
Reagan delivers 2490 papers a month. There are 12 months in a year. it means that the number of newspapers that Reagan delivers in a year is
12 × 2490 =29880
Anthony delivers 616 papers a week. Assuming that there are 52 weeks in a year, it means that the number of newspapers that Anthony delivers in a year is
52 × 616 = 32032
Therefore, the number of newspapers that they deliver altogether in a year is
28835 + 29880 + 32032 = 90747
Need help with this question?
Answer:
if you multiply by powers of 10 then make the decimal point go right.
Answer:
1.23 * 10^-7
Step-by-step explanation:
For decimals smaller than 1 usually something like 0.0000111 you count the decimal places backwards until you get to something greater than 0. So if you have 0.0022 the exponent would be 2.2 * 10^-3
For your problem 0.000000123
There's 6 zeros before you encounter the number thus your exponent is 1.23 * 10^-7
Here's a picture of how to do it!
Sita and rita make remarks on question 4a b c sita says she can only make one equation which satisfies the given cindition rita says she can make infinite no. Of equations which satisfies the given conditions whom do u agree with justify your answer
Answer: I agree with Sita.
Step-by-step explanation:
An infinite number is a very big number which is impossible to physically achieve. I agree with Sita because when Rita is forming equations on and on to an extent of not knowing when to stop. That is when she can say to infinite. And I don't think this is possible.
Evaluate the expression m÷n for m=2 and n=14.
Answer:
1/7
Step-by-step explanation:
Plug in 2 for m, and 14 for n in the expression:
m/n = 2/14
Simplify. Factor out common factors from both the numerator and denominator:
(2/14)/(2/2) = 1/7
1/7 is your answer.
~
Answer:
1/7
Step-by-step explanation:
2/14= 1/7
hope this helps
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 727272 pencils and 242424 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Answer:
3 pencils will be in each packageStep-by-step explanation:
72 Pencils
24 calculators
72/24 = 3/1
for Every one calculator 3 Pencils need to be used
Greatest number of Package = 24 as 24 Calculators are there
number of pencils in each package = 3 ( 72/24 = 3)
Answer:
3 pencils will be in each package
Step-by-step explanation:
You divide 727272 by 242424 to get 3
Evaluate the expression.
6. 14 - (9 + 8)2=
Answer:
-20
Step-by-step explanation:
14 - (9 + 8)2
Open bracket
14 - (17)2
14 - 17×2
14 - 34
= -20
Answer the question below.
Answer:
1247.03
Step-by-step explanation:
if £1=$1.35
?=$125(crisscross them to get an answer.)
$125×£1÷$1.35=£92.59
if £1=$1.35
?=$6(crisscross to get an answer.)
$6×£1÷$1.35=£4.44
so you add them all up
£1150+£4.44+£92.59= £1247.03
Round your answer to the nearest hundredth
Any help will be appreciated thank you
el volumen de un cubo es de 125 cm3 ¿ cuantas veses aumentara el volumen de ese cubo si se duplica la medida de su arista
Answer: 8 times.
Step-by-step explanation:
I will answer in English:
This says:
The volume of a cube is 125cm^3
How many times the volume will increase if we duplicate the lenght of the side?
If L is the lenght of the side, we have that the volume of the cube is:
V = L^3
If we duplicate the lenght of the side, the new volume is:
V = (2*L)^3 = 8*L^3
So we can see that the volume of the new cube is 8 times the volume of the previous cube.
Now, we can do the math, for our original cube we have:
L^3 = 125cm^3
L = 5cm
the new cube has L' = 2*L = 10cm
The volume of this cube is:
V' = L'^3 = 10cm^3 = 1000cm^3
the ratio V'/V is:
1000cm^3/125cm^3 = 8
Sarah applies the pearl guitar fret markers to her fret board as shown. Each fret marker is in the shape of a parallelogram. Each of the three bottom fret markers has a base that measures 52.5mm and a height of 6mm. What is the area of each of the bottom fret markers? DO NOT INCLUDE UNITS. *
Answer:
Step-by-step explanation:
Since each fret marker is in the shape of a parallelogram, we would determine the area of each of the bottom fret markers by applying the formula for determining the area of a parallelogram. It us expressed as
Area = base × height
Each of the three bottom fret markers has a base that measures 52.5mm and a height of 6mm. Therefore, area of each the bottom fret markers is
52.5 × 6 = 315
5. Every day of the week, Braxton earns $5 per hour for delivering newspapers. Braxton
also earns a weekly bonus of $15 if he arrives on time to work each day. Last week,
Braxton arrived on time to work every day and earned a total of $130 for h hours of
work. Based on this situation, how many h hours did Braxton work?
A 21 hours
B. 22 hours
C 23 hours
D. 24 hours
Answer:
23 hours
Step-by-step explanation:
If you multiply 5 by 26 you get 130. So by doing a little math you can find that 23 times 5 is 115, so then you add 15 and there you go. You've got your answer.
Hope this helped!!! :)
Please help me!! What is x?
Answer:
x = 64
Step-by-step explanation:
90 + x + 26 = 180
116 + x = 180
x = 180 - 116
x = 64
Answer:
x=64
Step-by-step explanation:
x and 26 are complementary, which means they add to 90 degrees.
x+26=90
We want to find x, so we have to get x by itself. 26 is being added on to x. To undo this, subtract 26 from both sides, because subtraction is the opposite of addition.
x+26-26=90-26
x=90-26
x=64
So, x is 64 degrees