Answer:
x=20
Step-by-step explanation:
3x-10=x+30
2x-10=30
2x=40
x=20
Answer:
X=20
Step-by-step explanation:
So their alternate interior angle which is equal
3x-10=x+30
Solve and you would get 20
How can a shape have perdindicular but not parallel sides?
Answer:
Step-by-step explanation:
This uh
CosB = 13/33 for which of the following
triangles?
Answer:
A
Step-by-step explanation:
they tell me what came out
The triangle for which Cos B = 13/33 is triangle D.
The given triangle is a right triangle. In order to use Cos B, the value of the adjacent side and the hypotenuse has to be known. The adjacent side is the side that is adjacent to angle B. The hypotenuse is the longest side of the triangle.
Triangle A: cos b = adjacent / hypotenuse
hypotenuse = √13² + 33² = 35.5
Cos B = 13 / 35.5
Triangle B: cos b = adjacent / hypotenuse
hypotenuse = √13² + 33² = 35.5
Cos B = 33 / 35.5
Triangle C: cos b = adjacent / hypotenuse
Adjacent = √33² - 13² = 30.3
Cos B = 30.3 / 33
Triangle D: cos b = adjacent / hypotenuse = 13/33
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The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an autograph-signing reception.
How many books were sold at the autograph session?
What is the minimum nunber of books sold?
What day did that occur?
How many books were sold on day fifteen?
Answer:
3.2
Step-by-step explanation:
Answer:
Answer: The first day the author reaches 100 days is on day 16.
To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.
You could use the quadratic equation to solve: 100 = x^2 -12x + 45
Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.
Arsenic is an element that occurs naturally in groundwater, but a mean greater than 8.0 parts per billion indicates that the groundwater has been contaminated. Local officials are concerned about a well in an area of the city near a factory. On 50 consecutive days, water was randomly sampled from the well. Assume the water in the well has a mean arsenic level greater than 8.0 ppb. Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.
Answer:
Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.
a correct decision.
Step-by-step explanation:
Since there is enough evidence to conclude that the mean level of arsenic is greater than 8.0 ppb, the correct decision has been made. There is no type I or type II error. The type I error (called a false positive) occurs if we reject the null hypothesis when it is true. Since we have simply rejected the null hypothesis when the alternate hypothesis is true, and the null hypothesis should be rejected, a correct decision has been made.
Answer:
decision
Step-by-step explanation:
Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made decision
Sevilya bought a new computer. She had to pay 8% in sales tax. The cost of the computer is $1,000. How much did she pay in total? Show all work
Answer:
1080
Step-by-step explanation:
1000*8%=80
1000+80=1080
For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point. (2, -45°)
Find the area, in square inches, of the following composite figure.
10 in
15 in
5 in
15 in
30 in
5th grade math. correct answer will be marked brainliest
Answer:
Step-by-step explanation:
The answer is 4/8 or 1/2 pie
Answer:
The answer is 4/8 or 1/2 pie
Have an amazing day :)
If map=1, Prove that
1+
It man
Itntpt 1tpam
+
Answer:
hi I didn't understand the question
can you please help me to understand.
I will try to give my best
What is 2 1/2+3 1/3 pretty please help I need this answer fast
Answer:
D. 5 5/6
Step-by-step explanation:
2 1/2 + 3 1/3
= [tex]\frac{5}{2}[/tex] + [tex]\frac{10}{3}[/tex]
= [tex]\frac{15 + 20}{6}[/tex]
= [tex]\frac{35}{6}[/tex] = 5 5/6
Answer:
5 1/3
Step-by-step explanation: i am pretty sure
find the slope of each line
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
I need this one, please
Answer:
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A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
triangle DEF is formed by connecting the midpoints of the sides triangle ABC. The lengths of the sides of DEF are shown. what is the length of AB
The requried length of the AB is given as AB = 16.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Since triangle DEF is formed by connecting the midpoints of the sides of triangle ABC, the length of the sides of triangle DEF is half the length of the corresponding sides of triangle ABC. That is:
DE = 1/2 AB
EF = 1/2 BC
FD = 1/2 AC
We can use the information about the lengths of the sides of triangle DEF to find the length of AB.
Since DE = 8 and EF = 10, we can use the triangle inequality to find FD:
FD + DE > EF
FD + 8 > 10
FD > 2
Similarly, since EF = 10 and FD = 12, we can use the triangle inequality to find DE:
DE + EF > FD
DE + 10 > 12
DE > 2
Finally, since DE = 8 and FD = 12, we can use the triangle inequality to find EF:
EF + FD > DE
EF + 12 > 8
EF > -4
Since all sides of a triangle must have positive lengths, EF cannot be negative. Therefore, the inequalities we have found imply that:
2 < FD < 12
2 < DE < 8
0 < EF < 10
Since DE = 1/2 AB and EF = 1/2 BC, we can write:
AB = 2DE = 2(8) = 16
BC = 2EF = 2(10) = 20
Therefore, the length of AB is 16.
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If 5 shirts and 5 sweaters cost $205, and 6 shirts and 9 sweaters cost $294, what is the cost of one shirt and what is the
cost of one sweater?
Answer:
one shirt 25.00 one sweater 16.00
Step-by-step explanation:
$\text{one shirt: }\$25,\text{ one sweater: }\$16$
Let x be the cost of one shirt and y be the cost of one sweater; then
5x+5y6x+9y=205=294
The augmented matrix for this system of equations is
[5659205294]
Using Gaussian elimination, divide row one by 5 to get
[161941294]
Multiply row one by −6 and add the result to row two to get
[10134148]
Divide row two by 3 to get
[10114116]
After back substitution, y=16 and x=25.
The cost of one shirt is $25 and cost of sweater is $16.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the cost of one shirt and y be the cost of sweater.
5 shirts and 5 sweaters cost $205
5x+5y=205...(1)
6 shirts and 9 sweaters cost $294
6x+9y=294...(2)
Multiply equation (1) with 6 and equation (2) with 5.
30x+30y=1230..(3)
30x+45y=1470...(4)
Subtract 3 and 4
30y-45y=1230-1470
-15y = -240
Divide both sides by 15
y=240/15
y=16
Now plug in y value in any of the equation
5x+16(5)=205
5x + 80 = 205
5x = 125
Divide both sides by 5
x=25
Hence, the cost of one shirt is $25 and cost of sweater is $16.
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This figure is made up of unit cubes , each with a volume of 1 cubic unit . What is the volume of the figure
Answer:
Easy! The answer is 100!
Count how many cubes are in each row, which is 10. Count how many stacks are there, which is also 10. 10 times 10 = 100!
Step-by-step explanation:
Answer:
r
Step-by-step explanation:
If we have 9 candy bars and each student gets 1/3 candy barwith 10 students, how much of a sandwich does each student get? Explain using examples or drawings
Answer:
...................
Step-by-step explanation:
..
A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
54
Step-by-step explanation:
216 - 3x = 324 -5x
subtract 216 from both sides
add 5x to both sides
divide both sides by 2x.
4
Which polynomial has the highest degree?
A 3x12 - 2x + x5
B 8x - 200
© 15x3 + 3x2 - 10
D 150x3
Answer: A. [tex]3x^{12} - 2x + x^5[/tex]
Step-by-step explanation:
The degree in a polynomial is the greatest exponent of any term in that expression.A. [tex]3x^{12} - 2x + x^5[/tex]
Here, highest exponent = 12
Degree of polynomial =12
B. 8x-200
Here, highest exponent = 1
Degree of polynomial =1
C. [tex]15x^3 + 3x^2 - 10[/tex]
Here, highest exponent = 3
Degree of polynomial =3
D. [tex]150x^3[/tex]
Here, highest exponent = 3
Degree of polynomial =3
Option A. has the polynomial with the highest degree as 12.
Answer:
A. 3x12 - 2x + x5
Step-by-step explanation:
Hope this helps
A submarine travels 5.5 km due East from its base and then turns and travels due North for 3.4 km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.
Answer:
6.5km
Step-by-step explanation:
If you make a diagram, you'll see the submarine forms a right angle triangle with the base, where the hypotenuse is the length from the submarine to its base, and 5.5 and 3.4 are the side lengths. To find the hypotenuse, use the formula a^2+b^2=c^2.
5.5^2+3.4^=c^2
41.81=c^2
6.466=c
Round it to one decimal point and you get 6.5km.
Answer:
6.5km
Step-by-step explanation:
I think is this I am not really sure
Help me with this please
Answer:
6
Step-by-step explanation:
The question indicates that the triangles are similar. The sides of FGH are 12, 15, and 20. The measured side of MNP is 10, which is 1/2 of 20. So since NM is the shortest side, it corresponds to the shortest side of FGH, which is 12. 1/2 of 12 is 6.
Please let me know if you have questions.
Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Answer:
Mr. Esposito is taller by 8 inches
Step-by-step explanation:
Mr. Esposito
12x5 = 60 + 11 = 71
Mrs. Humbert
63 inches = 5 foot and 3 inches
71 - 63 = 8
Help me find the answer please
Answer:
60
Step-by-step explanation:
m∠1=(55+65)/2=60
Simplify the expression: 15i ⋅ 4i
Answer:
I think the answer is 11i
there is the correct answer.
32) If somebody has a monthly income of $2,543, what should their monthly auto expense be?
Answer:
$211.916
Step-by-step explanation:
240g= _____ kg
What’s is the answer??
Answer:
0.24
Step-by-step explanation:
Answer:
0.24kg
Step-by-step explanation:
The answer is 0.24 kg since
1 gram equals 0.001 kg
1g = 0.001kg
Factorise 3x^2+11x-20
Answer:
( 3 x − 4 ) ( x + 5 )
Step-by-step explanation:
Answer:
(3x+4) (x-5)
Reverse Check It If You Have Doubts
please help, due today!
Find the length of the radius of the circle.
a. r = 3 d. r = 5
b. r = 4 e. r = 6
c. r = 4.5
Answer:
D) r=5
Step-by-step explanation:
Any triangle formed with one side of the triangle being the diameter of the circle it’s inscribed in will be a right triangle.
6²+8²=c²
36+64=c²
100=c²
√100=c
c=10
So the diameter is 10. That makes the radius 5.
In how many ways can a starting team of 5 players be chosen from a team of 14
Answer:
There are thousands of different combinations possible.
Step-by-step explanation:
From the figure which is greater between a and Q
Answer:
a
Step-by-step explanation:
the horizontal distance is shorter so the angle will be greater.
added:
tan a = AD/2a
tan Q - AD/3a
Just looking at the fractions AD/2a and AD/3a, the denominator of AD/2a is smaller so the resulting calculation will be greater, hence a is the larger angle.