Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …
Answer:
208
Step-by-step explanation:
First term = a = 4
Common difference = d = a2 - a1 = 9 - 3 = 6
35th term = a + (35 - 1)d
4 + (35 - 1)6
4 + (34)6
4 + 204
208
Answer:
207
Step-by-step explanation:
An=A1+(n-1)×R
A35=3+(35-1)×(9-3)
A35=3+34×6
A35=3+204
A35=207
Find length
__
AB
A:-6
B: 8
To find the distance between those two points you would need to
do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.
Answer:
14 = AB
Step-by-step explanation:
When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers
or you can set up the expression---
| -6-8 |
which equals
| -14 |
or
14
because 14 is the same as | -14 |
Help need help please
find the missing endpoint endpoint h (-1,0) midpoint p(0,-1)
Answer:
Step-by-step explanation:
Let the other end point be (a,b)
Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)
So
(0,-1) = ( (-1+a)/2 , (0+b)/2)
So we have
0 = (-1 +a) /2
0 = -1 + a
a =1
and
-1 = (0+b)/2
-2 = 0+b
b = -2
So the other end point is ( 1, -2)
Anyone? Got an ideas
Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?
Answer:
7x + 3
Step-by-step explanation:
old - new =
(4x**2 + 7x + 3) - (4x**2) = 7x + 3
x= -6, Y= 9 and z = -2 evaluate the expression. -5 x Y - (X^4)/ Y-2z
Answer:
418
Step-by-step explanation:
please make me brainlist
Translate the following statement into an equation and solve for x
Answer:
104 = -13 x -8
Step-by-step explanation:
The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.
V= 1/3Bh solve for H
A. 3b/v
B. b/3v
C. v/3b
D. 3v/b
Answer: D
Step-by-step explanation:
v = 1/3bh
3v/b = h
(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:
Step-by-step explanation:
Distance = √(x_2 - x_1)² + (y_2 - y_1)²
Distance = √[(-a) - a]² + (b - b)²
Distance = √[-2a]² + (0)²
Distance = √4a²
Distance = 2a
Round the fraction to the nearest whole number.
5/8
please help
Answer:
1
Step-by-step explanation:
so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.
hope this helps
Answer:
1
Step-by-step explanation:
(8/8) = 1 (4/8) = half (0/8) = 0
(5/8) = a bit more than half, so is closer to 1
5/8≈1
which of the following is the best estimate of the square root of 90
Answer:
9.5
Step-by-step explanation:
9.5x9.5= 90.25 which is the closest you can get without going into further decimals
For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??
Answer:
The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.
helpppppppppp it’s multiple choice questions I’ll brainlist!
Answer:#1 is D
Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141
This is confusing and makes no sense
Answer:
A is the answer
rrrrrrrr
11. Eve reads 25 pages per hour. Write an expression for the number of pages she reads
in h hours.
Answer:
25h = x
Step-by-step explanation:
If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!
Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
Yea also all of this
Answer:
yea I cant really do this over a screen
Answer:
16) photo
Step-by-step explanation:
- parallel lines never meet (a, b, c have no points in common)
- perpendicular lines meet other lines at one point, forming two angles of 90 °
the base of a triangle is 13cm and its height is 5cm. what is the area of the triangle
Answer:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
If 3x = y -5 and x = 4, then y =
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
simplify this exponential expression
[tex]( \frac{1}{3} )^{2} [/tex]
Answer:
Answer: 3^-2
Step-by-step explanation:
[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Evaluate the power
[tex]\frac{1^2}{3^2}[/tex]
Divide
[tex]\frac{1}{9}[/tex]
Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km
Answer:
Exponential notation is a powerful way to express repeated
multiplication of the same number. Specifically, powers of 10
express very large and very small numbers in a manner which is
convenient to read, write and compare.
• For any non-zero integer a, a–m 1
m a
=
• Laws of exponents are
(a) am × an = am+n
(b) am ÷ an = am–n
(c) (am)
n = amn
(d) am × bm = (ab)
m
(e) a° = 1, where a ≠ 0
(f)
m m
m
a a
b b
=
• Numbers can be expressed in expanded form by using exponents.
• Very large and very small numbers can be expressed in standard
form.
• Standard form is also called scientific notation form.
Step-by-step explanation:
Example 1 : Multiplicative inverse of 27 is
(a) 2–7 (b) 72 (c) – 27 (d) – 27
Solution : The Correct answer is (a).
Example 2 : The human body has about 100 billion cells. This number
can be written in exponential form as
(a) 10–11 (b) 1011 (c) 109 (d) 10–9
Solution : The correct answer is (b).
In examples 3 to 5, fill in the blanks to make the statements true.
Example 3 :
4
4 5 (– 4) ______ 4
× =
Solution : 54
Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =
Solution : 6–6
Example 5 : The distance between earth and sun is 150 million
kilometres which can be written in exponential form as
_______.
Solution : 1.5 × 108 km
In examples 6 and 7, state whether the statements are true (T) or false (F):
Example 6 : Very small numbers can be expressed in standard form
using positive exponents.
Solution : False.
Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4
Solution : False.
Step-by-step explanation:
How many milligrams are equal to 39 grams?
A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams
Answer:
39000
1 gram=1000milligrams
hence,
39 grams=39×1000milligrams
=39000milligrams
A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now
Answer:
The dad is 36 and the son is 12
Can someone help me im struggling
[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]
-m/3=-4
m?
Yeah i need to figure out how to do this one
Answer:
assuming that this is just an algebra problem and not some graphing
problem that you are trying to fin the slope vale m in y-mx+b
-m/3 = -4
-m = -4*3
-m = -12
m=12
Step-by-step explanation:
Find the area of a rectangular ground which is 14 1/2 m long and 10 2/3 m wide.
Answer:
154 2/3 m²
Step-by-step explanation:
14 1/2 x 10 2/3
First, make the mixed numbers into improper fractions:
29/2 x 32/3
Simlify by cross cancelling if you can:
29/1 x 16/3
Then, multiply:
29/1 x 16/3 = 29 x 16/1 x 3 = 464/3
Finally, turn the new improper fraction into a simplified mixed number:
464/3 = 154 2/3
The area is 154 2/3 m²
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. How much money did Janet deduct?
CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!
Answer:
1= 1 7/8 or 1.875
2= 235.75
3= 10 1/2 or 10.5
4=191.53
5=1 5/12 or 1.4166667
6=239.13
hope this helps
Answer:
1.
[tex] \frac{9}{4} [/tex]
2. 235.75
3.
[tex] \frac{21}{2} [/tex]
4. 191.53
5.
[tex] \frac{17}{12} [/tex]
6. 239.13
Step-by-step explanation:
1.
[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]
2. 168.45 + 67.3 = 235.75
3.
[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]
4. 249.6 - 58.07 = 191.53
5.
[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]
6. 334.16 - 95.03 = 239.13