Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla opuesta es de 25.2°. Calcular el ancho del río
Answer:
El ancho del río es 59.9 metros.
Step-by-step explanation:
El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:
[tex]tan(\theta) = \frac{CO}{CA}[/tex]
En donde:
CA: es el cateto adyacente = Altura de la torre = 28.2 m
CO: es el cateto opuesto = ancho del río =?
θ: es el ángulo adyacente a CA
Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:
[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]
Ahora, el ancho del río es:
[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]
Por lo tanto, el ancho del río es 59.9 metros.
Espero que te sea de utilidad!
Two spheres have are such that the radius of the bigger sphere is 3 times bigger than the smaller. What is the ratio of the area?
Answer:
1 : 27
Step-by-step explanation:
Radius of sphere one = r₁ = x units
Radius of sphere 2 = r₂ = 3*x = 3x units
Ratio of area of two sphere's = r₁³ : r₂³
= x³ : (3x)³
[tex]= \frac{x^{3}}{3^{3}*x^{3}}\\\\= \frac{1}{3^{3}}\\\\= \frac{1}{27}[/tex]
= 1 : 27
Solve the equation sin(x - 20°) = cos(42º) for x, where 0
Answer:
[tex]x = 68[/tex]
Step-by-step explanation:
Sine are Cosine are Complementary Angles.
We can use this formula
[tex] \sin(x) = \cos(y) [/tex]
when x+y=90.
Add the expressions in the parentents to 90 and solve for x.
[tex]x - 20 + 42 = 90[/tex]
[tex]x + 22 = 90[/tex]
[tex]x = 68[/tex]
The answer is
[tex]x = 68[/tex]
Subtract
[tex] - 3[/tex]
[tex] - {2y}^{3} [/tex]
[tex] - y[/tex]
[tex] - {5y}^{2} [/tex]
from
[tex] - {2y}^{3} [/tex]
[tex] + 4[/tex]
Answer:
Step-by-step explanation:
-2y³ + 4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²
= -2y³ + 2y³ +5y² + y + 4 + 3 {combine like terms}
= 5y² +y + 7
Someone help me please if you don’t mind
Answer:
Multiply to -63
and add to -2
Step-by-step explanation:
I'm a genius.
Answer:
(x - 9)(x + 7)
Step-by-step explanation:
Given
x² - 2x - 63
Consider the factors of the constant term (- 63) which sum to give the coefficient of the x- term, that is
numbers that multiply to give - 63 and add to give - 2
The factors are - 9 and + 7 , since
- 9 × 7 = - 63 and - 9 + 7 = - 2 , then
x² - 2x - 63 = (x - 9)(x + 7) ← in factored form
pls help- the question kept cutting off before:
If cos(πr) = 2 cos(πr) and 0 < r < 3, what is one possible value of r?
Answer:
r can be 0.5
Step-by-step explanation:
Here, we want to get a possible value of r
From the question, the value of r is between 0 and 3
Mathematically, we know that in degrees pi is the same as 180 degrees
In a case where we have r = 1/2
we have it that;
cos(pi/2) = 2 cos (pi/2)
Since pi/2 is 90 and cos 90 is zero; then we have it that the two sides of the equation is the same and r can be 1/2
Research suggests improvements in human capital explains what percentage of the growth in U.S. Productivity from 1950 to the early 2000s?
Answer: 20%
Step-by-step explanation:
Human capital refers to the expertise that people gain as a result of working. This includes skills they gain from training and actually working. For instance, the skills a Brainly website designer gets from working on Brainly.
Research suggests that this human capital has led to about a 20% growth in U.S. productivity from the year 1950 to the year 2007 which means that it is a very significant factor in the growth of the country.
Helppppppp and explain pls and thankyouuu
Answer:
so the correct asnwer is c
Answer:
Step-by-step explanation:
What is the value of x?
[tex] \frac{4}{5} x - \frac{1}{10} = \frac{3}{10} [/tex]
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{5}[/tex] x - [tex]\frac{1}{10}[/tex] = [tex]\frac{3}{10}[/tex]
Multiply through by 10 ( the LCM of 5 and 10 ) to clear the fractions
8x - 1 = 3 ( add 1 to both sides )
8x = 4 ( divide both sides by 8 )
x = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
What is the equation of the following line written in general form? (The y-intercept is -1.)
Answer:
2x-y-1=0
Step-by-step explanation:
.
The sum of the measures of two of the angles formed by the intersection of two lines is 114 degrees. Find the measures of all angles. (There are 4 boxes to fill out for the answer)
Answer:
57°,123°,57°,123°
Step-by-step explanation:
as vertical angles are equal
so one angle=114/2=57°
other angle=180-57=123°
Answer:
pic pls
Step-by-step explanation:
Find z
Help me please
Answer: z=56
Step-by-step explanation:
Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.
3y+8=68 [subtract both sides by 8]
3y=60 [divide both sides by 3]
y=20
We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.
360-68-68=224
Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.
Equation 1: 4x=2z
Equation 2: 4x+2z=224
We can manipulate Equation 1 to be [tex]x=\frac{1}{2}z[/tex]. Once we plug that into Equation 2, we can find the value of z.
[tex]4(\frac{1}{2} z)+2z=224[/tex] [multiply]
[tex]2z+2z=224[/tex] [add]
[tex]4z=224[/tex] [divide both sides by 4]
[tex]z=56[/tex]
Now, we know that z=56.
The distance traveled (in meters) by an insect is modeled by the equation d=0.3t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 26.3 minutes. A. 0.789 meters B. 87.67 meters C. 26 meters D. 7.89 meters
Answer:
D. 7.89 meters
Step-by-step explanation:
Given,
d = 0.3t
Here,
t = 26.3
Therefore,
d = 0.3*26.3
= 7.89m
please I need answer right now pleasssseee
only C
C. -3×(-2/3)²
Answer:
-4/3
Step-by-step explanation:
-3 x (-2/3)²
= -3 x (4/9)
= -4/3
if x/y=(3/5)^3÷(6/5)^0'find the value of (x/y)^2
Answer:
729/15625
Step-by-step explanation:
1. Evaluate the power
( (27/125) ÷ 1 )^2
2. divide
( 27/125 )^2
evaluate the power
( 27^2 / 125^2 )
729/15625
what is the explicit formula for this sequence
Answer:
A
Step-by-step explanation:
Start with the 3.
You know that there is a difference of 4 between (say) 2 and 5. The 3 is a sign that the sequence is increasing. The members of the sequence are going up.
n - 1 means that the nth terms is calculated as an and uses the number of terms to be n-1. That means that the first term is a1 which is the starting point of the sequence.
The answer is an = a1 + (n-1)*d
d = 3
a1 = - 7
So let's try the formula out.
a4 = -7 + (4 - 1)*3
a4 = -7 + 3 * 3
a4 = -7 + 9
a4 = 2
Is 2 the 4th term in the series? Yes it is!
Which division problem does the number line below best illustrate?
0 1 2 3 4 5 6 7 8 9 10 11 12 13
O 12-3-4
O 9-3-3
O 12-2-6
o 16-4-4
Answer:
12/3=4 ..............
Stephanie found a sweater on sale for $12.88. The original price of the sweater was $44.95. About how much did she save on the sweater?
rounding
Answer:
$32.07
ROUNDING ANSWER : $32
Step-by-step explanation:
you would subtract $44.95 -$12.88 which would give you $32.07
since you are rounding your answer would be $32
Hope this helps
Answer:
Stephanie saved about $32 on her new sweater.
$44.95 - $12.88 = $32.07
$32.07 rounds down to $32
Step-by-step explanation:
Have the same assignment. Hope this helps!
what is the measure of the angle formed by a side of the given angle and the given angle's bisector:27?
Answer:
Step-by-step explanation:
An angle is cut in half by the bisector.
Since the given angle is 172, its bisector creates 2 equal angles.
2x = 172 Divide both sides by 2
x = 172/2
x = 86
14,523 to 16,489.
What is the percent increase in the town's population? Finish the division and round to the nearest percent.
Answer:
≈ 14%
Step-by-step explanation:
percent increase is calculated as
[tex]\frac{increase}{original}[/tex] × 100%
Increase = 16489 - 14523 = 1966 , then
percent increase = [tex]\frac{1966}{14523}[/tex] × 100% = [tex]\frac{1966(100)}{14523}[/tex] ≈ 14% ( to nearest percent )
Answer:
14% :)
Step-by-step explanation:
Can sb help me it’s due soon
Answer:
I think 84 but you may need to check just to be sure :)
Help me please guys
Answer:
1st box is -4
2nd box is -4
3rd box is 3
4th box is -1
Answer: 15x squared -4x-3
rewrite the expression
15x squared + 5x-9x-3
factor the expressions
5x × (3x+1)-3(3x+1)
factor the expression
solution
(3x + 1) × (5x - 3)
I got c which is 100 but I don’t know how jerry got A
Choice C is the correct answer because
[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(8)^3-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100\\\\[/tex]
So in short, [tex]\frac{(6+2)^3-12}{5}=100\\\\[/tex]
------------------------------------------
The mistake Jerry likely made was that he only cubed the 2 and didn't realize the 6 was part of that cubing process. It seems he didn't add first and decided to cube before adding.
This is probably what steps Jerry did
[tex]\frac{6+2^3-12}{5}\\\\\frac{6+8-12}{5}\\\\\frac{14-12}{5}\\\\\frac{2}{5}\\\\[/tex]
But as mentioned, those steps are incorrect because the 6 is part of the cubing operation. In other words, Jerry should have added the 6+2 first before cubing afterward (due to PEMDAS determining the order of operations).
Or you could think of it like this
[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(6+2)(6+2)(6+2)-12}{5}\\\\\frac{(8)(8)(8)-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100[/tex]
Find the volume.
Use = 3.14
cone
h = 14 in.
r = 9.9 in.
in 3
h
Type the correct answer rounded to two
decimal places, pls help it would be so appreciated
Answer:
Volume of the cone given rounded to two decimal places is 1415.65in
Explanation:
Volume of a cone
[tex] = \pi {r}^{2} \frac{h}{3} [/tex]
[tex] = (3.14)( {9.9}^{2} )( \frac{14}{3} )[/tex]
[tex] = 3.14 \: \times \: 98.01 \: \times \: 4.6[/tex]
[tex] = 1415.65644[/tex]
if a third plane could be drawn which contains both lines a and b .
Answer:
must be parallel
Step-by-step explanation:
They must be parallel.
Pls ans this question step by step not only ans if it will help me than I will thanks uu comment uu pls ansme
Answer:
-2x+7
Step-by-step explanation:
Two data sets are represented by the graphs below.
A.)Smaller range
B.) Lager median
C.)Larger mean
D.)Smaller standard deviation
Explain how the quotient of powers was used to simplify this expression
Answer:
See explanation
Step-by-step explanation:
Given:
5⁴/25 = 5²
25 = 5²
Then,
5⁴ / 25
= 5⁴/5²
Note:
• multiplication sign means addition in indices
• Division sign means subtraction in indices
Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers
So,
5⁴/5²
= 5^(4 - 2)
= 5^(2)
= 5²
Therefore,
5⁴ / 25 = 5²
Find the measure of DA
Answer:
15
Step-by-step explanation:
First, find x
set your formula up as 3x+5=6x-10, since AB and DC are the same length.
This means x = 5
Now substitute 5 for x in the line DA
4x-5
4 * 5 - 5 = 15
Rab has trouble remembering the difference between addition of a positive and
negative number and multiplication of a positive and negative number. Explain how
you could clarify the concepts for him. Use an example to back up your explanation.
Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.
The addition of positive and negative number will always subtract with sign of maximum value.
The multiplication of positive and negative number will have a negative sign always.
AdditionConcept for the addition of positive and negative numberWhen two numbers which have different sign are added, they will always be subtracted from each other. The sign will vary accordingly.
with negative sign: when two numbers are added such that the number with negative sign has the larger value, then both numbers will get subtracted but with negative sign.Example: Consider two number -5 and 4
= -5 + 4
= -1
Here, 5 is the larger value. So, the sign comes is negative.
with positive sign: when two numbers are added such that the number with positive sign has the larger value, then both numbers will get subtracted but with positive sign.Example: consider two number 5 and -4.
= 5 + (-4)
= 1
Here, 5 is the large number. So, the sign comes is positive.
MultiplicationConcept for the multiplication of positive and negative number:When two numbers with opposite signs are multiplied, the answer is always a negative number.
Example; Consider two numbers 4 and -5.
On multiplication,
4×(-5) = -20
Thus, the multiplication of two numbers with different signs will always give a negative number.
To know more about rational and irrational numbers, here
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