Answer:
Using the information from the problem, the measurement of ∠A is 55°
Step-by-step explanation:
We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.
We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.
m∠A = 3x + 40
m∠C = x + 50
3x + 40 = x + 50
Subtract x on both sides of the equation.
2x + 40 = 50
Subtract 40 from both sides of the equation.
2x = 10
Divide 2 on both sides of the equation.
x = 5
So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.
x = 5
m∠A = 3(5) + 40
m∠A = 15 + 40
m∠A = 55
m∠C = (5) + 50
m∠C = 55
So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.
The measurement of ∠A is 55°
a man climbs on to a wall that is 4.5m high and gains 2450j 0f potential energy.what is the mass of the man?
Answer:
55.5 kg.
Step-by-step explanation:
Potential energy = mgh
= m * 9.81 * 4.5 = 2450 where m is the mass of the man.
m = 2450 / (9.81* 4.5)
= 55.5 kg.
Select two fractions equivalent to 1/3. a.3/3 b.2/6. c.3/12 d.7/12
Answer:
b.2/6.
Step-by-step explanation:
Simplify each fraction
a.3/3 =1
b.2/6. Divide the top and bottom by 2 1/3
c.3/12 Divide the top and bottom by 3 1/4
d.7/12 Does not simplify
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
I don't think that there are two answers. I think there's only one.
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of this function: (WILL GIVE THE RIGHT ANSWER BRANLIEST)
h(x) = (x − 1)2 − 9.
Answer:
Vertex : (1, -9)
Axis of symmetry : x = 1
x-intercepts : (-2, 0), (4, 0)
y-intercept : (0, -8)
Step-by-step explanation:
Quadratic function to be graphed is,
h(x) = (x - 1)² - 9
By comparing this equation with the vertex form of the parabola,
f(x) = (x - h)² + k
here (h, k) is the vertex of the parabola.
Therefore, vertex of the parabola to be graphed will be (1, -9)
Since coefficient of highest degree term (x²) is positive, parabola will open upwards.
Axis of symmetry of the parabola,
x = 1
For x-intercepts,
(x - 1)² - 9 = 0
(x - 1)² = 9
(x - 1) = ±3
x = 1 ± 3
x = -2, 4
Points of x-intercepts will be (-2, 0), (4, 0).
For y-intercepts, (x = 0)
h(x) = (0 - 1)² - 9
= 1 - 9
= -8
So the point of y-intercept will be (0, -8).
Answer:
Vertex : (1, -9)
Axis of symmetry : x = 1
x-intercepts : (-2, 0), (4, 0)
y-intercept : (0, -8)
See the attached graph of what it should all include and look like for Plato/Edmentum users
Step-by-step explanation:
Find the X intercepts of the parabola with vertex (1,405) and Y intercept (0,400)
Answer:
Step-by-step explanation:
The standard form of a parabola is
[tex]y=ax^2+bx+c[/tex]
If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:
[tex]400=a(0)^2+b(0)+c[/tex] and c = 400.
Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If
[tex]h=\frac{-b}{2a}[/tex] and h = 1, then
[tex]1=\frac{-b}{2a}[/tex] and
2a = -b so
b = -2a. Save that for a minute or two.
If
[tex]k=c-\frac{b^2}{4a}[/tex] and k = 405, then
[tex]405=400-\frac{(-2a)^2}{4a}[/tex] and
[tex]405=400-\frac{4a^2}{4a}[/tex] and
405 = 400 - 4a and
5 = -4a so
[tex]a=-\frac{5}{4}[/tex]
We will use that a value now to find the value of b. If b = -2a, then
[tex]b=-2(-\frac{5}{4})[/tex] and
[tex]b=\frac{10}{4}[/tex]
Writing our parabolic equation now:
[tex]y=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex]
Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:
[tex]0=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex] and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get
[tex]-5x^2+10x+1600=0[/tex] Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are
x = -16.91647287 and 18.91647287
Answer: ( -8,0),(10,0)
Step-by-step explanation:
The winner of a 100 mile race drove his car to victory at a rate of 145.0441mph
Answer:
Is your question, how long did it take for him to do it? If so the answer is: .69 hours
Step-by-step explanation:
100 divided by 145.0441= .6894454859
Avg. Time is .69 hours
Does anyone know what this is?
Answer:
[tex] {(4x)}^{ \frac{3}{2}} [/tex]
Step-by-step explanation:
[tex] \huge \sqrt{( {4x)}^{3} } \\ \\ \huge = \: {(4x)}^{3 \times \frac{1}{2} } \\ \\ {\huge {\red{ \boxed{ = {(4x)}^{ \frac{3}{2} }}}}}..required \: answer \\ \\ \huge = ( {4})^{ \frac{3}{2} } {x}^{ \frac{3}{2} } \\ \\ \huge = ( { {2}^{2} })^{ \frac{3}{2} } {x}^{ \frac{3}{2} } \\ \\ \huge = ( { {2} })^{ 3 } {x}^{ \frac{3}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{3}{2} } [/tex]
The figure below shows a right rectangular prism whose base is a 2x2 square and whose height is 4.Which shape does the intersection of the vertical plane with the prism look like?
Answer:
rectangle
Step-by-step explanation:
give you 15 pints if you help
Answer:
erm
Step-by-step explanation:
0.2
1/4
40%
0.5
3/4
The mass of a sample of the chemical element einsteinium-253253253 after it is initially measured is represented by the following table:
Time (weeks) Mass (grams)
000 400400400
333 201201201
666 989898
999 505050
121212 242424
151515 121212
Which model for M(t)M(t)M, left parenthesis, t, right parenthesis, the mass of the sample ttt weeks after it's initially measured, best fits the data?
Answer:
-23.99048X + 310.7619
Step-by-step explanation:
Given the following :
Time(weeks) - - - mass(grams)
0 - - - - - - - - - - - - - 400
3 - - - - - - - - - - - - - 201
6 - - - - - - - - - - - - - 98
9 - - - - - - - - - - - - - 50
12 - - - - - - - - - - - - 24
15 - - - - - - - - - - - - 12
Using the regression calculator, the model for Mass(time), which best fits the data is represented by the equation:
ŷ = -23.99048X + 310.7619
Where, - 23.99044 is the slope or gradient
X is the time(t)
y is the Mass
310.7619 is the intercept. Point where the graph crosses the y-axis.
Answer:
M^t=400•(0.79)^t
PLEASE HELP! I SUCK AT MATHHH, THANK YOUUU!!!
Julio takes a multivitamin and a calcium vitamin every day. One at a time, he randomly pulled 8 cherry, 5 grape, and 7 orange gummy vitamins out of the multivitamin container and put them back each time. He also randomly pulled 11 berry, 3 lemon, and 6 pineapple gummy vitamins out of the calcium container and put them back each time.
Based on this information, what is the probability that Julio will select an orange
multivitamin and a lemon calcium vitamin the next time he takes his vitamins?
Answer: 21/400
Step-by-step explanation:
Multivitamin:
8 cherry, 5 grape, and 7 orange
Total fruits in Multivitamin container :
(8 + 5 + 7) = 20
P(orange) = Total required outcome / Total possible outcomes)
P(orange) = 7/20
Calcium vitamin :
11 berry, 3 lemon, and 6 pineapple
Total fruits in calcium vitamin container:
(11 + 3 + 6) = 20
Probability of picking a lemon:
P(lemon) = Total required outcome / Total possible outcomes)
P(lemon) = 3/20
Therefore, probability of picking an orange and a lemon equals:
P(orange) × p(lemon) = (7/20) × (3/20) = 21/400
80,+84, +82, +79, +72, +97, +89, +97, +88, +79, +86, +90, +87 =
Answer:
1110
Step-by-step explanation:
Coz I solved it
Can Someone Help Me Plz?? :D Which sentence is represented by 67z + 8.9 Less-than-or-equal-to–302? A) Sixty-seven times a number is less than negative three hundred two. B) Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two. C) Sixty-seven times a number, plus eight and nine tenths, is not less than three hundred two. D) Sixty-seven times a number, plus eight and nine tenths, is at least negative three hundred two.
Answer:
BStep-by-step explanation:
the sum of sixty-seven times a number and plus eight and nine tenth is less than or equal to three hundred and two
A) Sixty-seven times a number is less than negative three hundred two.
B) Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.
C) Sixty-seven times a number, plus eight and nine tenths, is not less than three hundred two.
D) Sixty-seven times a number, plus eight and nine tenths, is at least negative three hundred two.
the answer closest to this is B (not greater than is the same as less than or equal to)
Answer:
B) Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.
Step-by-step explanation:
Let's break down this equation:
67z + 8.9 ≤ - 302
z is "a number" that is being multiplied by 67.
8.9 can be represented as 8 9/10, because 0.9 and a fraction is 9/10.
The less than or equal to sign means that the number represented by the expression 67z + 8.9 cannot be greater than -302. In other words, it is less than or equal to it.
You can see that option B is the only one that correctly compares 67z + 8.9 and -302. Therefore, that is the correct option.
Choose what the expressions below best represent within the context of the word problem.The length of a rectangle is 12 inches more than its width. What is the width of the rectangle that if the perimeter is 42 inches?
Answer:
L=16.5 inches
Step-by-step explanation:
L=W+12
P= 2L+2W
P=2(W+12)+2W
42=4W+24
4W=42-24
W=18/4=4.5
L=12+4.5=16.5 inches
6.
In the figure, the perimeter of sector AOB with centre O is 70 cm.
Find the value of r.
(Give your answer correct to 3 significant figures.)
Answer:
Hope this is correct
She wants to build a tower 35 in. tall using dominoes that are 1 and 2/5 in. tall. How many levels will her tower have?
Answer:
25 levels
Step-by-step explanation:
First, convert 1 2/5 to a decimal. Since 2/5=0.4, 1 2/5 is 1.4. Now, you can set up the following expression:
[tex]\dfrac{35\text{in}}{1.4\text{in}}=25[/tex] levels.
Hope this helps!
Plzz help! Can you also explain. ps. It’s not 4
Answer:
SR =3
Step-by-step explanation:
SR + RQ = SQ
2x+23 + x+21 = 14
Combine like terms
3x+44 = 14
Subtract 44 from each side
3x+44-44= 14-44
3x = -30
Divide each side by 3
3x/3 = -30/3
x = -10
SR = 2x+23 = 2(-10)+23 = -20+3 =3
Answer: 3
Step-by-step explanation:
We can start by making an equation.
Since we know the total length of SQ we can add SR + RQ to equal SQ.
[tex](2x+23)+(x+21)=14[/tex]
The parenthesizes are not necessary but they help for understanding the parts of the equation.
We will remove the parenthesizes and combine like terms.
[tex]3x+44=14\\[/tex]
Now subtract 44 from both sides to cancel it out from the side with x.
[tex]3x=-30[/tex]
Now divide by 3 to isolate x.
[tex]x=-10[/tex]
So x = -10.
Now we can plug in the value of x into SR.
[tex]2(-10)+23 = SR[/tex]
Solve
So SR = 3
The triangles shown below must be congruent.
60°
60°
30°
150
A. True
B. False
Answer:
False
Step-by-step explanation:
it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.
The given statement is false.
We have given that,
The triangles shown below must be congruent.
60°
60°
30°
150
We have to determine whether the given statement is true or false.
What is the sum of all angles in a triangle?The sum of all angles is 180 degrees
[tex]\angle A+\angle B+\angle C=180[/tex]
it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.
Therefore the given statement is false.
To learn more about the triangle visit:
https://brainly.com/question/2217700
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Solve for n.
11(n — 1) + 35 = 3
On = 6
0 1 = -3
On = 3
On= 6
Answer:
n = -21/11
Step-by-step explanation:
11(n - 1) + 35 = 3
Expand the brackets.
11n - 11 + 35 = 3
Add the terms -11 and 35.
11n + 24 = 3
Subtract 24 on both sides.
11n = 3 - 24
Subtract.
11n = -21
Divide 11 into both sides.
n = -21/11
Answer:
[tex]n = - \frac{21}{11} \\ [/tex]
Step-by-step explanation:
[tex]11(n - 1) + 35 = 3 \\ 11n - 11 + 35 = 3 \\ 11n + 24 = 3 \\ 11n = 3 - 24 \\ 11n = - 21 \\ \frac{11n}{11} = \frac{ - 21}{11} \\ n = - \frac{21}{11} [/tex]
___, 86, 82, 84, 80, 82, 78
fill in the blank
Answer:
88
Step-by-step explanation:
the sequence goes on subtracting 4, 2, 4, 2, 4
hence, with the last number being subtracted by 4, you must then add on 2
86 + 2 = 88
Three pieces of ribbons measuring 0.5km, 1005cm and 1,800mm respectively are joined end to end form a single one. How long is the new ribbon? Find the cost of the single so formed at the rate of Rs.12 per meter?
Answer:
The new ribbon is 511.85 meter long.
The total cost Rs. 6142.2
Step-by-step explanation:
First of all we convert all lengths to the standard unit that is meter.
0.5 km =500 meter
1005 cm = 10.05 meter
1800 mm = 1.8 meter
total length in meters
500+10.05+1.8= 511.85
total cost at the rate of Rs. 12 per meter will be
511.85×12=6142.2
The length of the new ribbon is 511.85m.
The cost of the single ribbon formed is Rs. 6142.20.
What are different units of length? How are they related?Common units of length are Millimeter(mm), centimeter(cm), meter(m), and kilometer(km).
The S.I. unit of length is the meter.
All units relate to the meter in the following way:
1000mm = 1m ⇒ 1mm = 1/1000m ⇒ 1mm = 0.001m
100cm = 1m ⇒ 1cm = 1/100m ⇒ 1cm = 0.01m
1km = 1000m
How do we solve the given question?The lengths of three pieces of ribbon are given as 0.5km, 1005cm, and 1800mm.
We are asked to find the length of the ribbon formed by joining these 3 ribbons.
To find the total length, we need to add them, but to add we need lengths in equal units. So we convert the three lengths into the common unit meter.
0.5km = 0.5 * 1000 m = 500m (∵ 1km = 1000m)
1005cm = 1005 * 0.01m = 10.05m (∵ 1cm = 0.01m)
1800mm = 1800 * 0.001m = 1.8m (∵ 1mm = 0.001m)
∴ The length of the new ribbon = 500 + 10.05 + 1.8 m = 511.85m.
Cost of the ribbon = Rs. 12 per meter
∴ Cost of the single ribbon formed = Rs. 12 * 511.85 = Rs. 6142.20.
Learn more about Length Conversion at
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£50 is divided between Alex, Peter & Angad so that Alex gets twice as much as Peter, and Peter gets three times as much as Angad. How much does Alex get?
Answer:
Alex gets £ 30Solution,
Let,
Angad get X
Peter get 3x
Alex get 6x
Now,
[tex]x + 3x + 6x = 50 \\ or \: 10x = 50 \\ or \: x = \frac{50}{10} \\ x = 5[/tex]
Replacing value,
[tex]6x \\ = 6 \times x \\ = 6 \times 5 \\ = 30[/tex]
hope this helps...
Good luck on your assignment..
Answer:
Angad gets £5
Peter gets £15
Alex gets £30
Step-by-step explanation:
Let Angad be x, Then Peter = 3x and Alex = 6x
Condition:
x+3x+6x = 50
=> 10x = 50
Dividing both sides by 10
=> x = 5
So,
Angad gets £5
Peter gets £15
Alex gets £30
I need help once again :(
Question
5 points
Given the set {x| - 2 < x < 2, where x is an integer), what is the
solution of -2(x - 5) < 10?
(1) 0, 1, 2
(3) -2, -1,0
(2) 1,2
(4) -2, -1
The equation 1/x=0 has no solution. True or False
Answer:
True
Step-by-step explanation:
1/x = 0
x(1/x)=(0)x
1 isn't equal to 0
what is 8 times 1 over 1000??
0.008 if you are looking for a decimal. If you need a fraction it would be simply 8/1000 since 8 times 1 would be 8.
Answer:
Step-by-step explanation:
8 x 1/1000
= 8/1000
Simplified to 1/125
As a decimal it’s 0.008
A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house’s value increase in dollars? What is the current value of the house?
Answer:
Increase in value: $20650
Current house value: $315650
The area of a square field is 14400 sq. metre. Find the length of the side
of the square.
Answer:
i think its Let a be the side length, then area=a^2=14400 sq m. Therefore a=√14400=120m.
Step-by-step explanation:
Answer:
[tex]120[/tex] [tex]meters[/tex]
Step-by-step explanation:
Use the formula for the area of a square.
[tex]A=s^2[/tex]
[tex]14400=s^2[/tex]
[tex]\sqrt{14400} =s[/tex]
[tex]120=s[/tex]
Mr. Carson traveled from his house in Pennsylvania to a ski resort in upstate New York. He drove 4.25 hours at a rate of 54.6 miles per hours. When a friend asked how far he traveled to get to the resort, Mr. Carson said “about 2,320 miles.” Mr. Carson actually traveled a distance of . Was Mr. Carson’s estimate reasonable?
Answer:
ESTO ES INCORRECTO
Step-by-step explanation:
CON LA ECUACIÓN DE GALILEO GALILEI TENEMOS:
x = 54.6 mph( 4.25 h) = 232 milles
Answer:
Mr. Carson traveled from his house in Pennsylvania to a ski resort in upstate New York. He drove 4.25 hours at a rate of 54.6 miles per hours. When a friend asked how far he traveled to get to the resort, Mr. Carson said “about 2,320 miles.”
Mr. Carson actually traveled a distance of
✔ 232.05 miles
.
Was Mr. Carson’s estimate reasonable?
✔ no
español:
Carson viajó desde su casa en Pensilvania a una estación de esquí en el norte del estado de Nueva York. Condujo 4,25 horas a una velocidad de 54,6 millas por hora. Cuando un amigo le preguntó qué tan lejos había viajado para llegar al resort, el Sr. Carson dijo "aproximadamente 2,320 millas".
Carson en realidad viajó una distancia de
✔ 232.05 millas
.
¿Fue razonable la estimación del Sr. Carson?
✔ no
one pluwws onwn equalse what
Answer: 2
Step-by-step explanation:
one plus one equals 2.
1+1=2
Answer:2
Step-by-step explanation:
60f=86 and I need to divide 60 from both sides but I don’t know how
Answer:
f = 43/40 or 1 13/30
Step-by-step explanation:
60f=86
Divide each side by 60
60f/60=86/60
f = 86/60
Divide the top and bottom by 2
f = 43/30 or as a mixed number 1 13/30
