7
Step-by-step explanation:
To solve this you need to use trigonometry:
1. Identify the sides. In this case, x is opposite and 10 is adjacent.
2. Identify which part of SOHCAHTOA you need to use. In this case, you need to use TOA.
3. Form your equation. In this case, x = tany x A
4. Substitute numbers into your equation. In this case, x = tan35° x 10
5. Calculate this equation using a scientific calculator. In this case the answer is 7.
A sequence starts 0, 5, ...
Give a rule the sequence could follow and the next 3 terms for that rule.
Give a different rule the sequence could follow and the next 3 terms for that rule.
Answer:
0, 5, 10, 15, 20
0, 5, 40, 405, 5,120
Step-by-step explanation:
One rule can be "add 5 to the previous term to get the next term."
0, 5, 10, 15, 20
Second rule:
For each term number 1, 2, 3, ..., n,
each term = 5(n - 1)^n
0, 5, 40, 405, 5,120
The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20
The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.
Sequences are numbers arranged in a specific pattern.
Given the sequence 0, 5...
This sequence can be an arithmetic sequence with nth term expressed as:
Tn = a + (n-1)da is the first term = 0
n is the number of terms
d is the common difference = 5 - 0 5
If n = 3
T3 = 0 + (3-1)*5
T3 = 2 * 5
T3 = 10
If n = 4
T4 = 0 + (4-1)*5
T4 = 3 * 5
T4 = 15
If n = 5
T5 = 0 + (5-1)*5
T5 = 4 * 5
T5 = 20
Hence the next three terms for the rule will be 10,15 and 20
Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ
If n = 3
f(3) = 5(3-1)³
f(3) = 5(2)³
f(3) = 5 * 8
f(3) = 40
If n = 4
f(4) = 5(4-1)⁴
f(4) = 5(3)⁴
f(4) = 5 * 81
f(4) = 405
If n = 5
f(5) = 5(5-1)⁵
f(5) = 5(4)⁵
f(5) = 5 * 81
f(5) = 1024 * 5
f(5) = 5120
Hence the next three terms for the rule will be 40, 405, and 5120.
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If 3r=4t+6, what is the value of t?
Whats the answer
HURRY IM BEING TIMED
Answer:
(C.
I THINK-
Step-by-step explanation:
HURRY!!!!! HELP PLEASE!!!! NO SPAM!!!!!!!!!There are two identical oil tanks. The level of oil in Tank A is 6 ft and is drained at the rate of 0.5 ft/min. Tank B contains 10 ft of oil and is drained at the rate of 1 ft/min. After how many minutes will the level of oil in the two tanks be the same?
Answer:
8 munutes
Step-by-step explanation:
let :
x is the final level for both tanks (in ft) and
t is the time (in minutes)
the equation :
x = 6 - 0.5 t (eq.1)
x = 10 - 1t (eq.2)
eq. 1 = eq. 2
=>
6-0.5t = 10-1t
1t - 0.5t = 10-6
0.5t = 4
t = 4/0.5 = 8
t = 8 minutes
Answer: 8 minutes
Step-by-step explanation:
Write an equation for the level of oil in each tank.
Let t = the number of minutes.
Tank A: y = 6 − 0.5t
Tank B: y = 10 − 1t
Solve the system by using a table of values
When t = 8 minutes, the level in both tanks will be at 2 feet.
Triangle OPR has length OR=5m, angle OPR = 90, find length QP
Answer:
i don't know
Step-by-step explanation:
i don't know
A
D
С
B
If mZABD = 60°, then mZDBC = [?]°
Answer:
60
Step-by-step explanation:
Since the angles are shown equal in the diagram, ABD=DBC=60
[tex]\sqrt{\frac{x-4\sqrt{x}+4 }{x+4\sqrt{x} +4} }[/tex]
Answer:
\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}
\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}
Step-by-step explanation:
4(x — 8)+10 = -10
What is the solution to this equation?
Answer:
x = 3
Step-by-step explanation:
We are given the equation 4(x - 8) + 10 = -10 and are asked to find the solution, solution meaning to get x alone.
To do so, first distribute the 4 on the outside of the parenthesis to both values on the inside of the parenthesis :
4(x - 8)
(4 * x - 4 * 8)
4x - 32
4x - 32 + 10 = -10
Now combine like terms :
4x - 22 = -10
Now it's time to get x alone, first get rid of -22 by adding 22 to both sides :
4x = 12
Now get x alone by dividing both sides by 4 :
x = 3
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
A. 3.7 yds
B. 5.3 yds
C. 2.6 yds
D. 1.9 yds
The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.
We need to find the height of the given triangle.
What is the formula to find the area of the triangle?The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).
Where s is the semiperimeter, a,b and c are sides of the triangle.
Now, s=6+10+14/2=15 yds
Area of a triangle=√15(15-6)(15-10)(15-14)=25.9
Area of triangle=1/2×14×h=25.9 square yds
⇒h=3.7 yds
Therefore, the height of the given triangle is 3.7 yds.
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https://brainly.com/question/27701864.
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7000 cm² is the same area as
.......... m².
Answer:
1000cm²=0.1m²
so 7000cm²=0.7m²
Step-by-step explanation:
please mark me as brainliest
Answer:
0.7
Step-by-step explanation:
Make ratio:
1 square centimeter = 0.0001 square meter
x square meters = 7000 square centimeters
Multiply:
0.0001 × 7000 = 0.7
Hope this helped.
tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem
Answer:
3 a + 4 b
Step-by-step explanation:
Biểu thức đại số biểu thị bạn Cúc mua 3 ly trà sữa và 4 ly kem là:
3 a + 4 b
Question 7 of 25
The graph of F(x) can be compressed vertically and shifted to the right to
produce the graph of G(X). If F(X) = x2, which of the following could be the
equation of G(x)?
A. G(x) = {(x - 6)
O B. G(x) = {(x+6)
O c. G(x) = 2(x+6)
O D. G(X) = 2(x-6)
please solve this indices in full understandable way
Answer:
hope it help ..........you
TIME REMAINING
43:02
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Mark this an
the answer of this question is (-2,2)
Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52
what is 40-32divited by8=5x-2
BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answer:
(0.5,3)
Hope this helps..Have a good day!!
20 points lovelys <3
Answer:
A) 2 cm
Step-by-step explanation:
By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.
What is the slope of the line?
y
slope = 13
slope = -3
slope =3
Answer:
slope = 3
Step-by-step explanation:
Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2
Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6
Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2
Answer:
3
Step-by-step explanation:
Start at the y-intercept
Slope is rise (up/down) over run (move to the right/left)
First you rise 3
And you run 1
3/1 is 3 thus 3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The diameter of your bicycle wheel is 25 inches. How far will you move in one turn of your
wheel?
a) 25 in
b) 78.5 in
c) 250 in
d) 246.49 in
e) 50 in
Answer:
b) 78.5
Step-by-step explanation:
distance you will move = circumference of wheel = πd = π(25) = 78.53981
2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h
Answer:
Corresponding AnglesStep-by-step explanation:
Angles a and e are corresponding angles and they are also congruent.tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
PLEASE HELP, I'LL MARK BRAINLIEST.. Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers? Please write in decimal form
formula of (a^3+b^3)
Answer:
[tex](a+b)(a^2-ab+b^2)=(a^3+b^3)[/tex]
Step-by-step explanation:
please help 15 points (picture)
Answer:
the first difference are all 20.
since the first differences of this relation are constant, it is a linear relation
Answer:
Linear because the account balance increases by a constant 20.
Step-by-step explanation:
→ The first difference is 20 for all values because :
20 - 0 = 20
40 - 20 = 20
60 - 40 = 20
80 - 60 = 20
100 - 80 = 20
Trong một lớp học có tỉ số học sinh nam và nữ là 7: 5.Tìm số học sinh của lớp biết số học sinh nam lớn hơn số học sinh nữ là 6 học sinh
Answer:
Học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinhH
Step-by-step explanation:
Tỉ số giữa nam và nữ là x/y = 7/5 => x/7 = y/5
áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
x/7 = y/5 => x-y =/7-5 = 6/2 = 3
Vì x/7 = 3 => x = 21
y/5 = 3 => y= 15
Vậy số học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinh
what is the solution?
Answer: x = 36
Step-by-step explanation:
[tex]\frac{2}{3} x-4=20\\\\\frac{2}{3} x=20+4\\\\\frac{2x}{3} =24\\\\2x=24*3\\\\x=\frac{72}{2} =36[/tex]
Does anyone know the answer plz ?
Answer:
a = 20; b = 10sqrt(3)
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : sqrt(3) : 2
b = 10 * sqrt(3)
b = 10sqrt(3)
a = 2(10)
a = 20
Answer: a = 20; b = 10sqrt(3)
Answer:
a=20,[tex]b=10\sqrt{3}[/tex]
Step-by-step explanation:
SOH-CAH-TOA
Tan = O/A
Tan(60)= b/10
[tex]b=10\sqrt{3}[/tex]
Cos = A/H
cos(60) = 10/a
a=20
8. Define transversal lines.
Step-by-step explanation:
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles
Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?
HELP PLEASE <3
Answer:
14, 21
Step-by-step explanation:
LCM : least common multiplier.
x + y = 35
LCM = 42
means that there is a combination of 2 of the following divisors of 42 :
2, 3, 6, 7, 14, 21
so, which two of these numbers can create the sum of 35 ?
only 14 and 21