Answer:
a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].
Step-by-step explanation:
a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].
b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].
c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].
d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].
e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].
f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].
X-y=3
6x-7y=11
what is the answer to this HELP plz
In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x
terms.
7x+ 3y = 5
2x+5v=-11
What are the resulting equations?
Answer:
14x + 6y = 10
14x + 35y = -77
Step-by-step explanation:
Multiply the top one by 2
14x + 6y = 10
Multiply the bottom one by 7
14x + 35y = -77
His next step is to subtract. You could have done this by multiplying the top one by -2
-14x - 6y = - 10
14x + 35y = -77 Now all you need do is add. The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.
Answer:
A) 14x + 6y = 10
-14x - 35y = 77
Step-by-step explanation:
multiple the first equation by 2 and the second equation by -7
2( 7x + 3y = 5)
-7( 2x + 5y = -11)
14x + 6y = 10
-14x - 35y = 77
1. Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's diameter?
2. KC wants to know the area of the portion with a lot of cheese. The radius of the pizza is 9 inches and the intercepted arc of the pizza with lot of cheese measures 140°. What will be the area of the shaded sector?
3. From the main entrance of the park, there are two pathways where visitors can walk along going to the circular garden. The pathways are both tangent to the garden whose center is 40m away from the main entrance. If the area of the garden is about 706.5 m2, how long is each pathway?
pakisagot po ty!!
Answer:
1. diameter=8 kilometres
2. area=98.96 inches
3. 37m
Step-by-step explanation:
1. diameter= 2*radius
2. area of sector=θ out of 360*π[tex]r^{2}[/tex] where θ is the angle
3. area of garden=π[tex]r^{2}[/tex]
706.5=π[tex]r^{2}[/tex]
[tex]r^{2}[/tex]=706.5/π
= 225(nearest whole)
r=[tex]\sqrt{225}[/tex]=15m
we now use Pythagoras theorem to find length of each pathway
[tex]40^{2} =15^{2} +x^{2}[/tex]
1600=225+[tex]x^{2}[/tex]
[tex]x^{2}[/tex]=1600-225=1375
x=[tex]\sqrt{1375}[/tex]=37 m (to nearest whole)
The tangent pathways from the entrance form right triangles from which
the length of the pathway which are the sides of the triangle, can be found.
1. The diameter is 8 kilometers2. The area of the shaded sector is 98.96 square inches3. The length of each pathway from the entrance is approximately 37.1 metersReasons:
1. The radius of the particle accelerator = 4 kilometers
The diameter of the particle accelerator = 2 × The radius
Therefore;
The diameter = 2 × 4 km = 8 km
The accelerator's diameter is 8 kilometers
2. The area of a sector of a circle is A = [tex]\displaystyle \frac{\theta}{360^{\circ}} \times \pi \cdot r^2[/tex]
The angle subtended by the sector, θ = 140°
The radius of the sector, r = 9 inches
Therefore;
[tex]\displaystyle A = \frac{140^{\circ}}{360^{\circ}} \times \pi \times 9^2 = \mathbf{ 31.5 \cdot \pi}[/tex]
The area of the shaded sector, A = 31.5·π in.² ≈ 98.96 in.²
3. The distance from the center to the main entrance, d = 40 m
Area of the circular garden, A = 706.5 m²
Solution:
The radius of the garden, r = √(A ÷ (π))
Therefore;
r = √(706.5 ÷ (π)) ≈ 15
The tangent pathways are perpendicular to the radius of the circular garden.
Therefore, the pathway from the entrance, the 40 m. distance from the center to the entrance and the radius form a right triangle.
Where;
The 40 m. distance = The hypotenuse side
By Pythagorean theorem, we have;
40² = r² + (Length of the pathway)²
Which gives;
40² = 15² + (Length of the pathway)²
Length of the pathway ≈ √(40² - 15²) ≈ 37.1
The length of each pathway is approximately 37.1 m.
Learn more about Pythagorean theorem here:
https://brainly.com/question/16175002
what is the unit rate of 180 to 4
Answer:
18/4=45
Step-by-step explanation:
Find the explicit formula for the given sequence.
-4, 12, -36, 108,...
a
a_n=-4·(-3)^{n-1}
b
a_n=4·3^{n-1}
c
a_n=15·3^{n-1}
d
a_n=5·3^{n-1}
Answer:
Option a.) an = -4(-3)^(n-1)
2. The lengths of the sides of a triangle are 4cm, 5cm and 6cm. Find, in degrees to one decimal
place, the size of the largest angle of the triangle.
Answer:
82.8 degrees.
Step-by-step explanation:
The largest angle is opposite the longest side.
So we find the angle opposite the 6cm line using The Cosine Rule:
6^2 = 4^2 + 5^2 - 2.4.5 cos A
cos A = (6^2 - 4^2 - 5^2) / (-2*4*5)
= -5/ -40
= 0.125.
So m angle A = 82.819 degrees.
Please help me out thank you.
its A
Step-by-step explanation:
Answer:
_____________
Combine like terms
(3x^2−10x+4)+(10x^2−5x+8)
I will give brainliest
Answer:
13x^2-15x+12
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Answer:
14.8
Step-by-step explanation:
cos 36° = 12/x
x = 12 /cos 36°
Help please.........
2−4(5p+1) Simplify to create an equivalent expression.
Answer:
2-20p-4 = -20p-2
Step-by-step explanation:
Answer:
- 20p - 2
Step-by-step explanation:
Given
2 - 4(5p + 1) ← distribute parenthesis
= 2 - 20p - 4 ← collect like terms
= - 20p - 2
By what percent will a fraction change if its numerator decreases by 85% and the denominator decreased by 25%
Let x/y be the original fraction.
After decreasing the numerator by 50% and decreasing the denominator by 25%, the fraction is:
(x - 0.5x) / (y - 0.25y) = (0.5x) / (0.75y)
= (2/3)(x/y) = 66 2/3% of x/y
So, the fraction decreased by 33 1/3%.
The correct answer is 80%
simplify: 5(3x-4)-6(2x+3)
Step-by-step explanation:
I am doing the same math and I have no idea one nobody is helping me :/ there just looking at my problem and saying the wrong number :((
Step-by-step explanation:
Given
5(3x-4)-6(2x+3)
= 15x - 20 - 12x - 18
= 3x - 38
the scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
Answer:
17 in
Step-by-step explanation:
.5 in : 6 ft
204/6 x .5 = 17
14.3 times 6.2
[NEED ANSWER ASAP]
Answer:
88.66
Step-by-step explanation:
used calculator
what is (9m)4 without exponents
Answer:
The answer is 36m
Step-by-step explanation:
Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.
Your sister goes to a restaurant with her friends. The total for the food is $50.43. How much TAX will you pay if the percentage rate is 6%?
Answer:
3.0258
Step-by-step explanation:
50.43*6%=3.0258
find the number of terms and the degree of this polynomial.
[tex] - 9 {r}^{9} [/tex]
Step-by-step explanation:
there is 1 term
9th degree or degree =9
geometry help multiple choice trig
Answer:
14/50
General Formulas and Concepts:
Math
Reducing FractionsTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
sin∠C
Opposite Leg of ∠C = 14
Hypotenuse = 50
Step 2: Find
Substitute in variables [Trig - Sine]: sinC = 14/50Answer:
14/50
Step-by-step explanation:
For angle C, 14 is the opposite leg. The hypotenuse is 50.
sin C = opp/hyp
sin C = 14/50
Answer: 14/50
Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5
Answer:
2*12x-5
Step-by-step explanation:
In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.
The table below shows the monthly balances a person had on their credit card over a five-month period.
Month Balance
January -$50
February $25
March -$70
April -$45
May $25
What was the average monthly balance over the five-month period? Enter your answers and your explanations or work in the space provided.
Answer:
43 dollars
Step-by-step explanation:
to take the average we have to add up all the numbers and divide by 5 which is
215/5=43
if my answer helps please mark as brainliest.
PLEASE THIS IS MY THIRD TIME ASKING TODAY I NEED HELP!!!
please only answer if you know how to do this!
Answer:
The answers are:
Step-by-step explanation:
1)Adjacent
2)Vertical
3)Corresponding
4)None of these
5)1,7 3,5 4,6 2,8 (<--angle numbers)
6)4,5 2,7 (<--angle numbers)
7)1=85, 2=95, 3=85, 4=85
8)1=60, 2=120, 3=60, 4=120
9)1=90, 2=90, 3=90, 4=90
10) No, they are not parallel. A protractor would show that the intersection angles are different, meaning the lines aren't parallel.
SORRY it took so long hope this helps!!
Answer:
1.
adjacent
2.
vertical
3.
corresponding
4.
none (just regular interior and thats not an option)
5.
(<5,<7) (<6,<8) (<1,<3) (<2,<4)
6.
(<2,<7) (<6,<3)
7.
<1= 85
<2= 95
<3= 85
<4= 85
8.
<1= 60
<2= 120
<3= 60
<4= 120
9.
<1= 90
<2= 90
<3= 90
<4= 90
10. No, its not parallel because the corresponding angles 1 and 7 aren't equal. You can use a protractor to figure this out by finding the measurement of angles 1 and 7. Because they aren't equal degrees, the lines will cross at some point
Find the slope of the line that passes through these two points: (4, 19) and (-15, 7) -19/12 19/12 12/19 -12/19
Answer:
12/19
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-19)/(-15-4)
m=-12/-19
m=12/19
Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
Has To Be A Movie!!!!
You can choose
A. Hunger Games
B. Men in Black
C. Classic Horror Movies
D. Jurassic Park
OR!!
Awnser With your own suggestion!!!!!!!
Step-by-step explanation:
i think it is sponge Bob square pants
The table shows the total cost to use Mark's Moving Company.
Hours
Total
Cost
1
$190
2
$280
3
$370
4
$460
Using f(x) to represent the total cost, and x to represent the number of hours, which function models this situation?
A. f(x) = 190x + 90
B. f(x) = 100x + 90
C. f(x) = 90x + 190
D. f(x) = 90x + 100
Answer:
The answer would be C can I get brainliest?
Step-by-step explanation:
Did this kind of math before. Hope this helps you.
what is the distance between (5 , 2)and (-1 , 4)
Answer:
6.32 or 2 x sq rt 10
Step-by-step explanation:
6 along x axis, 2 along y axis
using the Pythagorean theorem
6^2+2^2=40
sq rt 40=6.32 or 2 x sq rt 10
how do you simplify this
8-6/3
6*8/3
The answer for the equation 8 - 6/3 is,
6.
The answer for the equation 6 × 8/3 is,
16.
The length of the minute hand on a clock is 10in what's the diameter
Answer:
20
Step-by-step explanation:
Simplify.
Rewrite the expression in the form 6^n. 6^-6/6^-5=
Answer:
cacacc
Step-by-step explanation:
sorr
Answer:
the answer is 0.1666667
*I need to show work*
Suppose you have 11 coins in your pocket. You have nickels and dimes and they total $0.65. How many of each do you have?
Answer:
2 dimes and 9 nickles.
Step-by-step explanation:
2 dimes = 20cents
9 nickles = 45cents
20+45=65cents
2+9=11coins