Answer:
steps below
Step-by-step explanation:
cot 10° * cot 20° * cot 70° * cot 80° * cot 45°
= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)
= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)
= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°)) ... cos90° = 0 cos60° = 1/2
= (1/8*cos50°) / (1/8*cos50°)
= 1
5x= 20 word problem
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: 5x \: = \: 20[/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: \cancel\frac{20}{5} \\ [/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: 4[/tex]
[tex] \mapsto \rm \: 5x = 20[/tex]
[tex] \mapsto \rm \: x = \cancel\frac{20}{5} \\ [/tex]
[tex] \red \mapsto \ \boxed{ \rm \red { = 4}}[/tex]
help what is the answer to this'
Answer:
Your answer is x [tex]\geq[/tex] 77
Step-by-step explanation:
[tex]\frac{x}{7} \geq 8+3[/tex]
[tex]\frac{x}{7} \geq 11[/tex]
[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]
[tex]x \geq 77[/tex]
Hope this helps!
How can you use a property to write a simplified equivalent
expression?
Answer:
For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.
Step-by-step explanation: hope this helps
what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,
Answer: [tex]y = -\frac{2}{3}x+2[/tex]
Check out the diagram below.
======================================================
Work Shown:
[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]
The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.
The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.
Helpppppp!!! I don’t understand this!
Answer:
from a to t
Step-by-step explanation:
a=64°
b=116°
c=116°
d=64°
e=108°
f=72°
g=108°
h=72°
i=108°
j=108°
k=72°
m=105°
n=79°
q=116°
s=75°
t=119°s
Twice the difference of a number squared and 7
Answer: 2(x^2-7)
Step-by-step explanation:
Is the following inequality true : 4 <_ 4 ?
Answer:
Yes
Step-by-step explanation:
This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.
A delivery company charges a flat rate of $3 for a large envelope plus an additional $0.25 per ounce for every ounce over a pound the package weighs. The postage for the package is $5.50. How much does the package weigh? (Hint: remember the first pound is included in the S3.)
Answer:
1 pound 10 ounces
Step-by-step explanation:
5.50-3.00=2.50
2.50/0.25=10
katie can mow at a constant speed rate of 4/5 lawns per hour
Answer:
y=4/5x+B
what is the whole question?
evaluate and simplify the expression when x=3 and y =5 2y + 3(x-y) + x^2=
find x if m<2=6x-12
a)12
b)9
c)6
d)-7
Answer:
12 ,,............,.,...,,,.
The value of x is 12 (Option a) if m∠2 = 6x - 12.
The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.
From the given information, we have:
m∠2 = 6x - 12
Since all angles of an equilateral triangle are equal, we can set up the equation:
m∠2 = m∠1 = m∠3
Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).
We can equate the measures of the angles:
y = 6x - 12
Now, let's solve this equation to find the value of x:
6x - 12 = y
Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).
6x - 12 = 60
Adding 12 to both sides:
6x = 72
Dividing both sides by 6:
x = 12
Therefore, the value of x is 12.
So, the correct option is: (a) 12
To know more about value, refer here:
https://brainly.com/question/22572776
#SPJ2
Justin needs 9 pieces of rope that are
1 1/2 feet long each. He says he can cut the 9 pieces from a 12 3/4 foot long rope. Is Justin correct? Write an equation with a complex fraction to support your answer.
Answer:
no.
Step-by-step explanation:
half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2
Which of these is a good conductor?
wood
silver
paper
air
Rylee is paid $32 for 8 hours of work. What is her hourly rate?
Answer:
$4 per hour
Step-by-step explanation:
$32 per 8 hours of work
We can just divide 32 by 8
32 / 8 = 4
So her hourly rate would be $4 per hour
we can check this
by $4 * 8 (hours) = $32 per 8 hours of work
Her hourly rate is $4 per hour
Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°
find m<QRS, m<PQS, m<RPS and m<PSQ
The shape PQRS is a parallelogram
The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degreesThe given parameters are:
[tex]\mathbf{\angle PQR = 106}[/tex]
[tex]\mathbf{\angle QSR = 49}[/tex]
[tex]\mathbf{\angle PRS = 35}[/tex]
(a) Find QRS
This is calculated as:
[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]
So, we have:
[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]
[tex]\mathbf{\angle QRS = 70}[/tex]
Hence, the measure of angle QRS is 70 degrees
(b) Find PQS
This is calculated as:
[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]
So, we have:
[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]
[tex]\mathbf{\angle PQS = 53}[/tex]
Hence, the measure of angle PQS is 53 degrees
(c) Find RPS
This is calculated as:
[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]
Where:
[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]
So, we have:
[tex]\mathbf{\angle RPS = 35}[/tex]
Hence, the measure of angle RPS is 35 degrees
(d) Find PSQ
This is calculated as:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]
Where:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]
So, we have:
[tex]\mathbf{\angle PSQ =53}[/tex]
Hence, the measure of angle PSQ is 53 degrees
Read more about angles in a parallelogram at:
https://brainly.com/question/12186483
need help!!!
which addition matches the problem...
Answer:
The addition that matches the problem is the first one.
Step-by-step explanation:
The red line goes back 8 so it is a -8 and the blue line goes forward 4 so it is a postive 4.
4 + (-8) = -4
Write the equation of the line through
(4, 4) and (2, 2) in point-slope form.
Answer:
y-4=1x-4
Step-by-step explanation:
put in format : y2-y1=m(x2-x1)
y-4 = 1(x-4)
distribute
y-4=1x-4
Hi there I'm douing my homeworks and need to find Common Mistakes of these words if someone can help me I'll be happy thank you. :)
1. Rigid Transformation
2. Translation
3. Rotation
4. Reflection
math can you please help me?
Answer:
The answer will be -5
You are welcome:)
Step-by-step explanation:
guys pls help me!!!!!!
Answer:
[tex]x = 67[/tex]
Step-by-step explanation:
[tex]x = 67[/tex]
[tex]Alternate \:Intrerior \: Angles[/tex]
The sum of twice a number and 6
Answer:
The answer to your question is 4
The sum of twice a number and 6 is 4.
a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?
Answer:
2110.08 meters
Step-by-step explanation:
find the circumference of the wheel
Divide 84 by 2 to find the radius.
84/2=42
C=2πr
C=2(3.14)(42)
C=263.76 cm
263.76*800=211008cm
Divide by 100 to convert to meters
211008/100=2110.08
2110.08 Meters
Hope this helps!
12. The function t = 19m + 65 represents the temperature t (in degrees Fahrenheit)
of an oven after preheating for m minutes.
The temperature in Fahrenheit after preheating for 2 minutes is 103⁰F
The question looks incomplete but we can as well find the temperature in Fahrenheit after preheating for 2 minutes
Give the function t = 19m + 65 that represents the temperature t (in degrees Fahrenheit) of an oven after preheating for m minutes.
If t = 2,
t = 19(2) + 65
t = 38 + 65
t = 103⁰F
Hence the temperature in Fahrenheit after preheating for 2 minutes is 103⁰F
Learn more here:https://brainly.com/question/16510024
how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg
Answer:
100000 $
Step-by-step explanation:
Multiply:
1000*10
100000 $
how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction
Answer:
negative direction
Step-by-step explanation:
A negative and a positive make a negative:
1/5 + (-4/5) = 1/5 - 4/5
Hope this helps!
\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1
Answer:
Given equation:
[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]Solving for p:
[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]p - any real number
We can state the initial expression is correct for any value of p.
Answer:
True for all p
Step-by-step explanation:
Given equation:
[tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]
Multiply both sides by [tex]2 \times 3^p[/tex]:
[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]
Add [tex]3^p[/tex] to both sides:
[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]
[tex]\implies 3^{p+1}=3 \times 3^p[/tex]
Rewrite 3 as 3¹:
[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 3^{p+1}=3^{1+p}[/tex]
[tex]\implies 3^{p+1}=3^{p+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies p+1=p+1[/tex]
Subtract 1 from both sides:
[tex]\implies p+1-1=p+1-1[/tex]
[tex]\implies p=p[/tex]
Therefore as both sides are equal, true for all p.
What’s does 120$ plus 40% mean
Answer:
ur suppose to find how much it is after the discount so for example in question 1 the discount is 40% so subtract that from 100% to get 60% then multiply this 60% by the origanial vaule which is 120 so for the answer for question 1 would be 72. Also when multiplying 60% u dont multiply by 60 u multiply it by 0.6
Hope this help and sry for the bad grammar
chứng minh: x(4+1/3*x+48)=1440
Step-by-step explanation:
1
3 x2+52x=1440
Step 2: Subtract 1440 from both sides.
1
3 x2+52x−1440=1440−1440
1
3 x2+52x−1440=0
For this equation: a=0.3333333333333333, b=52, c=-1440
0.333333x2+52x+−1440=0
Step 3: Use quadratic formula with a=0.3333333333333333, b=52, c=-1440.
x=
−b±√b2−4ac
2a
x=
−(52)±√(52)2−4(0.333333)(−1440)
2(0.333333)
x=
−52±√4624
0.6666666666666666
x=24,−180
Answer:
x=24,−180
Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º
1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.
Answer:
1
Step-by-step explanation:
It is the only one that makes sense!
(Apologies since this super late; I hope future students will find this helpful)
Answer:
An angle measures 90º if and only if the angle is right.
Step-by-step explanation:
See the image below :)
Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)
Answer:
g(4) = 12
g(-5) = 48
Step-by-step explanation:
I will assume that you meant g(x)=x^2 - 3x + 8,
A) To find g(4), substitute 4 for each instance of 'x' in this function:
g(4) = (4)^2 - 3(4) + 8, or
g(4) = 16 - 12 + 8, or
g(4) = 12
Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48
g(-5) = 48
Answer:
A) 12
B) 18
Step-by-step explanation:
A) 4^2 - 3(4) + 8
16 - 12 + 8 = 12
B) -5^2 - 3(-5) + 8
25 + 15 + 8 = 48
