Answer:
<16 should be 70 degrees. Correct me if I'm wrong.
Answer:
70°
Step-by-step explanation:
[tex]m \angle \: 1 + m \angle \: 2 = 110 \degree...(given) \\ \\ m \angle \: 11 + m \angle \:1 2 = m \angle \: 1 + m \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: m \angle \: 11 + m \angle \:1 2 = 110 \degree \\ \\ now \: \\ m \angle \: 14 + m \angle \:1 5 = m \angle \: 1 1+ m \angle \: 12 \\ (vertical \: \angle s) \\ \implies \: m \angle \: 14 + m \angle \:1 5 = 110 \degree \\ \\ m \angle \: 13 = m \angle \: 16 \: \\ (vertical \: \angle s) \\ \\next \\ m \angle \: 1 1+ m \angle \: 12 + m \angle \: 1 3+ \\ m \angle \: 14 + m \angle \: 1 5+ m \angle \: 16 = 360 \degree \\ \therefore \: (m \angle \: 1 1+ m \angle \: 12 ) + (m \angle \: 1 4+ \\ m \angle \: 15) + m \angle \: 1 3+ m \angle \: 16 = 360 \degree \\ \therefore \:110\degree + 110 \degree + m \angle \: 1 6+ m \angle \: 16 = 360 \degree \\ 220 \degree + 2m \angle \: 16 = 360 \degree \\ 2m \angle \: 16 = 360 \degree - 220 \degree \\ 2m \angle \: 16 = 140 \degree \\ \therefore \: m \angle \: 16 = \frac{140 \degree}{2} \\ \\ \huge \red{ \therefore \: m \angle \: 16 =70 \degree}[/tex]
Ajay is researching how the population of his hometown has changed over time. Specifically, he learns his hometown had a population of 20{,}00020,00020, comma, 000 in 199019901990, and that the population has since increased by about 8\%8%8, percent every 333 years.
Ajay predicts that his town can only support a population of 50{,}00050,00050, comma, 000. Ajay is relieved to see that population has not exceeded 50{,}00050,00050, comma, 000 ttt years after 199019901990.
Write an inequality in terms of ttt that models the situation.
Answer:
Could you Write the question more clearly?
Step-by-step explanation:
could someone help me ASAP, thanks !!
Answer:
I think this is the right answer but last two signs are incorrect
Hope this will help
Answer:
i dont know
Step-by-step explanation:
3. Find the value of p in each of the following when f(x) is divided by d(x), with the help of remainder theorem:
(a) f(x) = px3 + 4x - 10 d(x) = x + 3 R = 5
(b) f(x) = x + 3x2 - px + 4 d(x) = x - 2 R = 8
(c) f(x) = 2x3 - 4x2 + 6x-p d(x) = x-2 R = 18
(d) f(x) = 4x3 - 3x2 + 3x - P d(x) = x-2 R = 12
(e) f(x) = 2x8 - 3x2 + px - 8 R = f(3) = 10
(f) f(x) = x3 + 5x2 - px + 6 R = 2p d(x) = x-1
(g) f(x) = x4 + x3 + =px² + x + 20 f(2) = 20
it's a optional mathematics Questions please solve him
The remainder theorem says that dividing a polynomial f(x) by a 1st-degree polynomial g(x) = x - c leaves a remainder of exactly f(c).
(a) With f(x) = px ³ + 4x - 10 and d(x) = x + 3, we have a remainder of 5, so
f (-3) = p (-3)³ + 4(-3) - 10 = 5
Solve for p :
-27p - 12 - 10 = 5
-27p = 27
p = -1
(b) With f(x) = x + 3x ² - px + 4 and d(x) = x - 2, we have remainder 8, so
f (2) = 2 + 3(2)² - 2p + 4 = 8
-2p = -10
p = 5
(you should make sure that f(x) was written correctly, it's a bit odd that there are two x terms)
(c) f(x) = 2x ³ - 4x ² + 6x - p, d(x) = x - 2, R = f (2) = 18
f (2) = 2(2)³ - 4(2)² + 6(2) - p = 18
12 - p = 18
p = -6
The others are done in the same fashion. You would find
(d) p = 14
(e) p = -4359
(f) p = 10
(g) p = -13/2 … … assuming you meant f(x) = x ⁴ + x ³ + px ² + x + 20
what is the probability notation for the probability for choosing a green marble?
The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).
The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.
Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.
Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.
Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].
Learn more about probability notation here:
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Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?
3x – 10y = 50
3x = 50 – 10y
50 + 10y = 3y
50 + 3y = 10y
Answer:
3x=50-10y
Got it right on edge
The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb.
Let x represents the number of 3 lb weights and y represents the number of 10 lb weights.
Hence, The correct equation to find the number of each type of weight Bob has,
⇒ 3x + 10y = 50
⇒ 3x = 50 - 10y
Thus, The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
Learn more about the mathematical expression visit:
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There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
BES
O
1 - 12
VX
1
12
4
O
112
○ - 12
Mark this and retum
Save and Exit
Next
Submit
Answer:
3 12
------ = ---------
1 4
Step-by-step explanation:
We need to keep the relationship in the same order
3 ft 12 ft
------ = ---------
1 yd 4 yds
3 12
------ = ---------
1 4
Answer:
the answer is B
Step-by-step explanation:
Relationship between q and t pleaseeee helppppp
Step-by-step explanation:
it is simple.
there is a constant speaking time of 25 minutes.
the duration of the meeting is the speaking time plus the question answering time.
so,
q = 1 means t = 25 + 1 = 26
q = 2 means t = 25 + 2 = 27
q = 3 means t = 25 + 3 = 28
q = 8 means t = 25 + 8 = 33
7. GEOMETRY The radius r of a certain
circle is given by r = V71. Estimate the
radius of the circle to the nearest foot.
Please help
Numbers can be estimated by approximating them. So, we need to approximate [tex]\sqrt{71}[/tex] to the nearest integer to get its estimate of the radius in the nearest foot.
The radius to the nearest foot is 8ft
Given that
[tex]r = \sqrt{71}[/tex]
To calculate the radius, we simply determine the square root of 71
[tex]r = 8.42614977318[/tex]
Approximate to the nearest integer
[tex]r = 8[/tex]
Hence, the radius of the circle to the nearest foot is 8ft.
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how do i round
$191.2392
Step-by-step explanation:
its round is 200.0000 .
hope it will help you Mark with brilliant
Answer:
$191
Step-by-step explanation:
Can you help me please please correct my
Answer:
a = m/c
~~~~~~~~~~~~~~~~~~~~~~~
m=ca
divide both sides by c
you get a = m/c
Step-by-step explanation:
Answer:
a = m/c
Step-by-step explanation:
m = ca
divide both sides by c
m/c = ca/c
m/c = a
:.a = m/c
The side lengths of a 30-60-90 triangle are in the ratio 1: V3 : 2. What is
sin 30°?
Answer:
A
Step-by-step explanation:
side opposite to smallest angle is smallest=1
Hypotenuse=2
sin 30=1/2
THIS IS TIMED I NEED THE ANSWER NOW
Answer:
114 pi or 359
Step-by-step explanation:
which one of the following is not true about a rectangle? A. all its angels are right angels B. its opposite angels are equal C.opposite sides are parallel D. all its sides are equal
Answer:
I am not sure but it may be option c .
Step-by-step explanation:
I chose option c because in parallelogram the opposite sides are parallel .
Joe travels at a constant speed of 80 miles per hour for ten hours. How many miles will he travel in ten
hours? How many kilometers will he travel in ten hours? (1 mi= 1.6 km)
Answer:
1287.48 km
Step-by-step explanation:
80 miles = 128.748 km
Distance = Speed x TimePutting in 'x' for distance
x = 80*10
x = 800 miles
or
x = 1287.48 km
The base of a triangular prism has an area of 35 m2. This triangular prism has a height of 7 m. What is the volume of this triangular prism?
Answer:
The volume is 245 m^2
Step-by-step explanation:
the volume formula is aways base time height, or V = bh
so plot the number in, 35 x 7 = 245
find the vertex of this parabola y=-2x ^2-4x-5
Answer:
(1, -13)
Brainliest, please!
Step-by-step explanation:
To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.
- -4 / 2(2) = 4 / 4 = 1
Vertex = (1, y)
Next, we plug 1 back into the parabola equation for x to solve for y.
y = -2(1)^2 - 4(1) -5
y = -2^2 - 4 - 5
y = -4 - 4 - 5
y = -8 - 5
y = - 13
Vertex = (1, -13)
150 students in hostel have food enough for 45 days. After 10 days , 25 students leave the hostel. How much larger will the food last?
Step-by-step explanation:
150=45
150 -25=x
:150=45
125=x
cross multiply
150x/150=5625/150
x=38 days
Anyone here that can help me with?
Answer:
D. 16 years old
Step-by-step explanation:
Step 1: Let T be Tien's age and J as Jordan's age (today),
[tex]T=\frac{1}{4}J[/tex]
Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),
[tex]T+2=\frac{1}{3} (J+2)[/tex]
[tex]T=\frac{1}{3}(J+2)-2[/tex]
Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,
[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]
The side lengths of a 45-45-90 triangle are in the ratio 1:1:√2. What is sin 45°?
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
To find the value of sin 45° we divide the opposite side length with hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] we then multiply this by [tex]\sqrt{2}[/tex] because denominator cannot be irrational
[tex]\frac{1}{\sqrt{2} }[/tex] x [tex]\sqrt{2}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] gg
One-third of a number is 8 less than the number itself
Answer:
let the number be x
[tex] \frac{1}{3} x = x - 8 \\ x = 3(x - 8) \\ x = 3x - 24 \\ 3x - x = 24 \\ 2x = 24 \\ x = 12[/tex]
Answer:
x=12
Step-by-step explanation:
1/3 of 12 is 4 which is 8 less then 12 :))))))
Hope this helps <3
1 by 6 of a construction work is finished in the first year, 1 by 8 part in the second year and 1 by 12 in the third year how much work is finished in 3 year
Answer:
3/8
Step-by-step explanation:
first year's work is 1/6
second year's work is 1/8
third year's work is 1/12
combining all 3 gives us
1/6 + 1/8 + 1/12
which simplifies to 3/8
A business made a profit of $44,000 in 1991. Then its profits decreased by 5% each year for 4
years. Find its profit in the year 1995.
Answer:
= profit in the year 1995 are $880,000
which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2
A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2
Answer:
D
Step-by-step explanation:
[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]
pls help. what is a reasonable range for this function? explain your answer. thank you:))
from 0 to 20
neither the seconds nor the height are likely to be negative.
Someone, please help
Timothy has 72 coins, consisting of quarters, dimes, nickels, and 8 pennies. Samantha comes and takes all of his quarters, takes 3 of his dimes, takes 2 of his nickels, and leaves him with one penny, leaving him with 45 coins. What is the value of quarters that Samantha took?
72 - 45 = 27
Samantha took 27 coins. She took 3 dimes, 2 nickels and all but 1 penny, so 7 pennies. This is 12 coins. The rest must be quarters. 27 - 12 = 15 quarters.
15 x 0.25 = 5.25
The value of the quarters that Samantha took is $3.75.
Hope this helps!
please answer this question!!
Answer:
x = 1
Step-by-step explanation:
6x - 9 = 2x - 5
Move variables to one side
6x - 9 = 2x - 5
-2x -2x
4x - 9 = - 5
Isolate variable
4x - 9 = - 5
+ 9 +9
4x = 4
4x/4 = 4/4
x = 1
is (the number in the photo) rational or irrational?
Answer:
irrational
Step-by-step explanation:
ASAP !
Determine the value of x.
Question 1 options:
A: x = 2
B: x = 2.5
C: x = 1
D: x = 2.9
Answer:
x=2
Step-by-step explanation:
We can use the Pythagorean theorem since this makes a right triangle
a^2+b^2 = c^2
The radius is 1.5
1.5^2 + x^2 = (1+1.5)^2
1.5^2 +x^2 = 2.5^2
2.25+x^2=6.25
Subtract 2.25 from each side
x^2 = 4
Taking the square root of each side
x= 2
Answer:A
Step-by-step explanation:Took quiz
Determine the slope of a line passing through
(-2, 4) and (-9, 3).
Answer:
1/7
Step-by-step explanation:
We can us the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-4)/(-9- -2)
= (3-4)/(-9+2)
= -1 /-7
=1/7
Triangles and angles
Pls help
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!