Answer:
Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]
Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]
Step-by-step explanation:
Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]
So, Perp = 1 and hyp = 2
Putting this in Pythagorean theorem to get the base
[tex]c^2 = a^2+b^2[/tex]
[tex]a^2 = c^2-b^2[/tex]
base ² = 4-1
base² = 3
Taking square root on both sides
Base = [tex]\sqrt{3}[/tex]
Now
Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]
Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]
Find the value of each expression -7+12+15
Answer:
20
Step-by-step explanation:
oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo
Answer:
[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent
Step-by-step explanation:
Statements, Reason
[tex]\overline{AC}[/tex] bisects ∠BCD, Given
[tex]\overline{DC} \perp \overline{AD}[/tex] Given
∠CDA ≅ ∠CBA Right angles are ≅
[tex]\overline{AC} \cong \overline{AC}[/tex] Reflexive property
ΔACD ≅ ΔACB Hypotenuse Leg (HL) congrurency
[tex]\overline{BC} \cong \overline{DC}[/tex] CPCTC
Where:
CPCTC = Corresponding parts of Congruent Triangles are Congruent
⊥ = Perpendicular to
≅ = Congruent
∠ = Angle
Δ = Triangle.
Applying the recursive rule aₙ; a ₙ ₋ ₁ + 3, write the first seven (7) terms of the sequence when a = 10.
Answer:
First seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Step-by-step explanation:
Given recursive rule aₙ = a ₙ ₋ ₁ + 3
a1 = 10
[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]
Thus, first seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Find the area and perimeter of rectangle x=4.2cm. Width is x+5.8. The length is x.
Answer:
Area: 42 cm²
Perimeter: 28.4 cm
Step-by-step explanation:
Simply plug in 4.2 cm for x into x + 5.8 to find the width. You width should be 10.
Area: Multiply 10 by 4.2 and you should get 42
Perimeter: Add up all the sides together (4.2 x 2 + 10 x 2) and you should get 28.4
Answer:
The area of a rectangle is length times width.
First recall the answer gives you x=4.2 for the eqaution x+5.8 and for the length.
Input that into the rectangle´s area formula.
(4.2)(4.2+5.8)
(4.2)(10)
=42 units^2.
Now to find the perimeter you need to add all the sides. We have two lengths and two widths.
4.2+4.2+10+10
= 28.4
Step-by-step explanation:
If you want more explanations then Khan academy is a great source.
Harun and Anis have m boys and n girls. How many children do they have?
Hi. Can somebody help me with this problem
Answer:
draw a table and calculate the x axis and find the x intercept
Step-by-step explanation:
Answer:
The correct answer is ..
(-1,-2)
Step-by-step explanation:
First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)
Hope this helps!
- Quinn <3
What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04
Answer:
4
Step-by-step explanation:
I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.
What value of x is in the solution set of 8x - 6 > 12 + 2x?
-1
e Of
3
5
Answer:
x > 3
Step-by-step explanation:
Step 1: Isolate x
6x -6 > 12
6x > 18
Step 2: Divide
x > 3
Using the quadratic formula, which of the following are the zeros of the quadratic equation below
Answer:
the answer for this question is D
Answer:
Correct answer is actually B
Step-by-step explanation:
I used someone’s answer with their work shown for my test
Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1
Answer:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Step-by-step explanation:
Take a look at B: 4a^2 - 10 a + 25. The square roots of 4a^2 and 25 are 2a and 5 respectively. Does (2a - 5)^2 come out to 4a^2 - 10a + 25? No.
Take a look at C: 25b^2 - 5b + 10 We know this is not a perfect square trinomial because 10 is not a square.
D: 16x^2 - 8x + 1: both 16x^2 and 1 are perfect squares, so we have:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
This is my last one please help you need to explain it just tell me the right answer thank you
Answer:
i might be 25
Step-by-step explanation:
Let f ( x ) = 5 x and g(x)=2x^2. (Need answer in less than 2 hours!)
Answer: (b) (g o g)(5)
Step-by-step explanation:
[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]
12x+7< -11 AND 5x−8≥40 need help asap
Answer:
B
Step-by-step explanation:
Let's solve 12x + 7 < -11.
12x < -18
x < -3/2
Solving 5x − 8 ≥ 40 we get:
5x ≥ 48
x ≥ 48 / 5
Since it says AND, the answer is no solution.
Work out m and c for the line: y = x + 4
Answer:
Step-by-step explanation:
Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S and q is ? The force exerted between S and p.
Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p
a. 1/2
b. 2 times
c. 1/4
d. 4 times
Answer:
4 times
Step-by-step explanation:
Given the following :
Distance between q and S (r) = 1 unit
Distance between P and S (r) = 2 × 1 unit = 2
According to coliumbs law:
F = Ke(q1q2) /r^2
Where F = electrostatic force, Ke = coloumbs constant
q1,q2 = charges, r = distance between two charges
For q and S :
Fsq = Ke(q1q2) / 1^2
Fsq = Ke(q1q2) - - - - - equation 1
For P and S :
Fsp = Ke(q1q2) / 2^2
Fsp = Ke(q1q2) / 4 - - - - - equation 2
Dibiding equation 1 by equation 2
Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4
Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)
Fsq / Fsp = 4 / 1
Using cross multiplication
Therefore, Fsq = 4 × Fsp
Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
The coordinates of rectangle ABCD are;
A = (-6, -2)
B = (-3, -2)
C = (-3, -6)
D = (-6, -6)
The coordinates of the image are;
A' = (-10, 1)
B' = (-7, 1)
C' = (-7, -3)
D' = (-10, -3)
We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3
For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3
For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3
For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3
Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
N
(7x5 – 2x3 + 6) – (3x” – 4x3 – 2)
+
Answer:
67
Step-by-step explanation:
67 bcz
Answer:
67
Step-by-step explanation:
A wedding ring costs £13000. Work out the price after a 11% price increase.
Answer:
£ 14430
Step-by-step explanation:
Costing price = £13000
Increase = 11% of 13000
=> 11/100 × 13000
=> 11 × 130
=> £ 1430
Increased Price = 13,000+1430
=> £ 14430
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius? use 3.14
Answer:
157Step-by-step explanation:
Let us first calculate the circumference of the circular of the circular garden
[tex]C= 2\pi r[/tex]
Given
r= 100
[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]
Since the desired space between flowers is 4ft
Then the flowers needed for the garden is [tex]\frac{628.4}{4} = 157.1[/tex]
Approximately the number of flowers is 157
Answer:157
Step-by-step explanation:
What is the length, in units, of segment CD?
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
Help a chick out only if u know what u doing
Answer:
for 12:00 1 for 1:00 2
Step-by-step explanation:
this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2
edit: is it right? if it is, may I have brainliest?
You don’t have to explain this just tell me the tight answer
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell
8, 3, -2, -7
basically
you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.
so the first past of the answer is -5n.
then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.
your answer would then be
-5n + 13Answer:
-5x + 13
Step-by-step explanation:
to find the nth term, you must find the difference between each consecutive given terms.
So,
8 and 3 = -5
3 and -2 = -5
-2 and -7 = -5
This is the m in the equation mn+c
c is the value you must add to -5n when n is 1
Hope this helps
OKAY HELP so Raegan has a rectangular breadspread that is 238 cm by 435 cm. She wants to sew a fringe around the bread spread. what is the perimiter of the bed spread??? figured that out its 1346 but then it says raegan gets a new breadspread that is 27 cm longer. whats the perimiter now?
Answer:
The new perimeter is 1400 cm
Step-by-step explanation:
The perimeter of the bedspread is the perimeter of a rectangle, whose formula is:
Perimeter = 2 * width + 2 * length
Then the perimeter of the initial bed spread is:
Perimeter = 2 * (238 cm) + 2 * (435 cm) = 1346 cm
as you calculated.
Now, she gets a new bedspread that is 27 cm longer. So the new dimensions are 238 cm width, and (435 + 27) cm length, then the perimeter becomes:
Perimeter = 2 * (238 cm) + 2 * (462cm) = 1400 cm
One fourth of a number is added to one fifth of the same number. If the result is 18, find the number
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number.
[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]
[tex]\frac{9}{20} x=18[/tex]
[tex]x=18 \times \frac{20}{9}[/tex]
[tex]x=40[/tex]
If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40
Let the given number be represented by x
One-fourth of the number = x/4
One-fifth of the same number = x/5
One-fourth of the number is added to one fifth of the same number =
x/4 + x/5
The result is 18
This can be represented mathematically as:
x/4 + x/5 = 18
Simplifying the equation above
(5x + 4x)/20 = 18
Cross multiply
5x + 4x = 18(20)
9x = 360
x = 360/9
x = 40
The number = 40
Learn more on word problem here: https://brainly.com/question/21405634
Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.
Answer:
2/16
Step-by-step explanation:
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.
probability=desired chances/total chances
=2/16
The probability that Arya gets blue on both spinners is 2/16.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .
we get 1 + 1 = 2.
The probability that Arya gets blue on both spinners
= desired chances/total chances
=2/16
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Jane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned
Answer:
20%=3800 => all of it is 19000
i didn't undrestand what do you want
sorry:)
chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning
Answer:
Rs. 1050
Step-by-step explanation:
75/100×600= 7.5×60= 450+600= 1050
Hope this helps
can i have some help please?
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°
When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer
all the numbers are roots and powers
Answer:
14
Step-by-step explanation:
We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.
Let us expand all brackets:
[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]
The exponent of b is 14.