Answers
Answer:
60 degrees
Step-by-step explanation:
So we see there's a 90 degree angle and a 150 degree larger angle including it.
So to find out the part that the 150 degree large angle that's not a part of the 90 angle we would do: 150 - 90, and we get 60.
So the bottom right angle is 60 degrees.
Now since we have a straight line from the left to right horizontally, we know that one side has to equal 180 degrees. On the side which the x is on, we already have 2 angles: 90 and 30. 90 + 30 = 120.
Since a straight line equals 180, x + 120 has to equal 180.
So now we do simple algebra.
x + 120 = 180
x = 180 - 120
x = 60
So x is equal to 60 degrees.
Related Questions
Match each equation with its graph.
Answers
2.2
3.3
Good luck:)
Question 8 of 9
Use a calculator to find the correlation coefficient of the data set.
х
у
2
15
6
13
7.
9
8
on 0
12 5
O A. -0.909
OB. 0.909
Ο Ο Ο
O C. 0.953
D. -0.953
Answers
Actual data table :
X __ y
2 15
6 13
7 9
8 8
12 5
Answer:
0.953
Step-by-step explanation:
The question isnt well formatted :
The actual data:
X __ y
2 15
6 13
7 9
8 8
12 5
Using a correlation Coefficient calculator, the correlation Coefficient obtained by fitting the data is 0.953 which depicts a strong linear correlation between the x and y variable. This shows that the value of y increases with a corresponding increase in x values and vice versa.
QUICK PLEASE
Factor 2x^2+19x+12
Answers
Answer:
39
Step-by-step explanation:
you just put it in a calculator
Answer:
The expression is not factorable with rational numbers.
2x^2+19x+12
Step-by-step explanation:
SCALCET8 3.9.013. A plane flying horizontally at an altitude of 2 mi and a speed of 570 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your answer to the nearest whole number.)
Answers
Answer:
DL/dt = 529 miles/h
Step-by-step explanation:
The radio station (point A) the point just up the radio station ( point B), and the variable position of the plane ( at specif t point C) shape a right triangle wich hypothenuse L is:
L² = d² + x²
d is the constant distance between the plane and the ground
Then differentiation with respect to time on both sides of the equation
2*L*dL/dt = 2*d* Dd/dt + 2*x*dx/dt
But Dd/dt = 0
L*dL/dt = x*dx/dt
x = 5 miles dx/dt = 570 m/h L = √ d² + x² L √ (5)² + (2)²
L = √29 L = 5.39 m
5.39 *DL/dt = 5*570 m/h
DL/dt = 5*570/5.39 miles/h
DL/dt = 528.76 miles/h
DL/dt = 529 miles/h
Which of the following is true?
1. The scale factor is 5/2 with a center of dilation at point B. The image of AB is on the same line because it passes through the center of dilation and CD is parallel to its image because it does not pass through the center of dilation.
2. The scale factor is 5/2 with a center of dilation at point B. The image of AB is on the same line because it does not pass through the center of dilation and CD is parallel to its image because it does pass through the center of dilation.
3. The scale factor is 2/5 with a center of dilation at point B. The image of AB is on the same line because it does not pass through the center of dilation and CD is parallel to its image because it does pass through the center of dilation.
4. The scale factor is 2/5 with a center of dilation at point B. The image of AB is on the same line because it passes through the center of dilation and CD is parallel to its image because it does not pass through the center of dilation.
Answers
Answer:
Option A
Step-by-step explanation:
If the quadrilateral ABCD is dilated by a scale factor 'k' to form quadrilateral A'B'C'D',
Scale factor = [tex]\frac{\text{Length of one side of the Image}}{\text{Length of one side of the original}}[/tex]
k = [tex]\frac{BA'}{BA}[/tex]
Distance between B(2, -5) and A(-1, -1) = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(2+1)^2+(-5+1)^2}[/tex]
= 5 units
Distance between B(2, -5) and A'(-5.5, 5) = [tex]\sqrt{(-5.5-2)^2+(5+5)^2}[/tex]
= [tex]\sqrt{(-7.5)^2+(10)^2}[/tex]
= 12.5 units
Scale factor 'k' = [tex]\frac{12.5}{5}[/tex]
k = [tex]\frac{5}{2}[/tex]
Therefore, ABCD is dilated by a scale factor [tex]\frac{5}{2}[/tex] about point B.
BA and it's image BA' are on the same line and passes through center of dilation B.
Similarly, lines CD and C'D' will be parallel because they do not pass through center of dilation.
Therefore, Option (A) will be the correct option.
1million =___Thousand dollars.Fill the blanks help guys
Answers
Hey there! There are 1000 thousands in a million.
If this helps, please mark ME as brainliest!
Have a wonderful day :)
one strip is cut into 9 equal bars shade 1/3:of strip
Answers
hiiksbsjxbxjsoahwjsissnsks
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 23 feet, and the length of the other base is 50 feet. The height is 20 feet. What is the area of this section of the deck?
The area for the section of the deck is ____ ft
Answers
Answer:
Area of a trapezoid= (big base+small base)/2 x height
A=(67+54)/2 x 18
A=60.5 x 18
A=1089
I need help with this question
Answers
Answer:
A=W, B=X, C=Y, D=Z, AB=WX, BC=XY, CD=YZ, AD=WZ
(The second answer down)
Step-by-step explanation:
Which of the following is an x-intercept of the function, f(x) = x3 – x2 - 8x +12?
O A. -4
B. 3
C. 4
D. -3
Answers
No explanation needed
rom each corner of a square piece of sheet metal 18 centimeters on a side,we remove a small square and turn up the edges to form an open box. Whatis the largest volume this box could have
Answers
Answer:
The volume is maximum when the height is 3 cm.
Step-by-step explanation:
let the side of the removed potion is x.
length of the box = 18 - 2 x
width of the box = 18 - 2 x
height = x
Volume of box
V = Length x width x height
[tex]V = (18 - 2 x)^2 \times x\\\\V = x(324 + 4x^2 - 72 x)\\\\V = 4 x^3 - 72 x^2 + 324 x \\\\\frac{dV}{dx} = 12 x^2 - 144 x + 324 \\\\So,\\\\ \frac{dV}{dx} =0\\\\x^2 - 12 x + 27 = 0 \\\\x^2 -9 x - 3 x + 27 =0\\\\x (x - 9) - 3 (x -9) = 0\\\\x = 3, 9[/tex]
Now
[tex]\frac{d^2V}{dx^2}=24 x - 144 \\\\Put x = 3 \\\\\frac{d^2V}{dx^2}=24\times 3 - 144 = - 72\\\\Put x = 9\\\\\frac{d^2V}{dx^2}=24\times 9 - 144 = 72\\[/tex]
So, the volume is maximum when x = 3 .
. A small home business is set up with an investment of Birr 1,000,000 for equipment. The business manufactures a product at a cost of Birr 60 per unit. If the product sells for Birr 140, how many units must be sold before the business breaks even?
Answers
Answer:
12,500
Step-by-step explanation:
P = R-E
b.e.p : P=0
R=E
140x = 1000000 + 60 x
80x = 1000000
x=12,500
I am Your Crush boy you have never seen a boy like me if you will see me you will fall in my love. come zom Id- 6622308635 pas- 6UC3yE
Answers
Answer:
I don't know the answer to ur question. LOL
Answer:
stop being desperate
nobody is gonna fall in love with some desperate weirdo
I need help with this
Answers
Answer:
156 degrees
Step-by-step explanation:
Bisects meand to cut into two equal halves.
That means 4x-2=3x+18.
Subtracting 3x on both sides gives x-2=18
Adding 2 on both sides gives x=20
If x=20, then 4x-2 equals 4(20)-2=78.
The other half is also 78 since the two angles were comgruent.
The whole angle is 78+78=156.
after buying 55 books for Rs 50 each a man has rupees 3/4 of his money left how much he had at first?
Answers
Answer:
916.67 (corrected to 2 decimal places)
Hope I'm right, fingers crossed
Step-by-step explanation:
[tex]55 \times 50 = 2750 \div \frac{3}{4 } = 916.6666667[/tex]
Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.5. What is the probability that no more than 3 of the entry forms will include an order
Answers
Answer:
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
Step-by-step explanation:
For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.
This means that [tex]n = 16[/tex]
They know that the probability of receiving a magazine subscription order with an entry form is 0.5.
This means that [tex]p = 0.5[/tex]
What is the probability that no more than 3 of the entry forms will include an order?
At most 3 including an order, which is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0[/tex]
[tex]P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002[/tex]
[tex]P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018[/tex]
[tex]P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085[/tex]
Then
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105[/tex]
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
The expansion of (x-2)(x+2) is …..
Answers
Answer:
x2-4
Step-by-step explanation:
Answer:
(x+2)(x-2)(x²-2²)(x²-4)hope it helps
stay safe healthy and happy...Which proportion resulted in the equation 3a = 7b?
Answers
Hello!
3a = 7b =>
=> 3 × a = 7 × b =>
=> a/b = 7/3
Good luck! :)
x^2-9x+20 the factor of this trinomial are(____)(___)
Answers
Answer:
(x-4) (x-5)
Step-by-step explanation:
* means multiply
first you figure out what 2 numbers
when added make 9
when multiplied make 20
those are 4 and 5
(x 4) (x 5)
in this case
-4 -5 make -9
-4 * -5 make 20
(x-4) (x-5)
Answer:
(x-4)(x-5)
Step-by-step explanation:
Firstly you need to use the second equation formula to get the value of x.
x= [tex]\frac{-(-9)+- \sqrt{(-9)^{2}-4*1*20 } }{2*1}[/tex]
x= [tex]\frac{9+- \sqrt{81-80 } }{2}[/tex]
x= [tex]\frac{9+-1}{2}[/tex]
so,
x=[tex]\frac{9+1}{2}[/tex] x=5
and
x=[tex]\frac{9-1}{2}[/tex] x=4
When writing the factor, we have to change signs of 5 and 4. So it will be -5 and -4.
That's why the awnser is (x-4)(x-5)
Hope it helps!
Which equation has the least steep graph?
Answers
9514 1404 393
Answer:
C. y = 1/2x +2
Step-by-step explanation:
The magnitude of the slope is the measure of "steepness." The slope is the coefficient of x in these equations. Here those values are ...
4, 3/4, 1/2, 10
Of these, 1/2 is the smallest (least steep). 1/2 is the slope in the equation ...
y = 1/2x +2
Necesito ayuda con esto
Answers
Answer:
La suma de las dos matrices cuadradas de dimensión 2 es [tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex].
Step-by-step explanation:
Considerando que se tratan de dos matrices de igual dimensión y cuyos elementos son números reales, conocemos que la adición entre dos matrices consiste en las sumas de los elementos de igual posición, esto es, los elementos que están localizados en las mismas filas y columnas, entonces, la suma es:
[tex]\vec A = \left[\begin{array}{cc}1&2\\-1&0\end{array} \right][/tex], [tex]\vec B = \left[\begin{array}{cc}-2&9\\3&5\end{array}\right][/tex]
[tex]\vec U = \vec A + \vec B = \left[\begin{array}{cc}1 + (-2)&2+9\\-1 + 3&0 + 5\end{array}\right][/tex]
[tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex]
La suma de las dos matrices cuadradas de dimensión 2 es [tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex].
a boat leaves port at 13:52 and arrives at its destination 3 and a half hours later. at what time does the boat arrive
Answers
16:52
Hope this helps! :)
Please explain absolute values?
Answers
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
For example, |-3| would just be a 3 in general, no negative sign in the front.
hope this answers your confusion.
Weatherwise magazine is published in association with the American Meteorological Society. Volume 46, Number 6 has a rating system to classify Nor'easter storms that frequently hit New England states and can cause much damage near the ocean coast. A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating.
(A) Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down or getting worse. What would be the null hypothesis regarding average wave height?
a) μ < 16.4.
b) μ > 16.4.
c) μ = 16.4.
d) μ ≠ 16.4.
(B) If you wanted to test the hypothesis that the storm is getting worse, what would you use for the alternate hypothesis?
a) μ < 16.4.
b) μ = 16.4.
c) μ ≠ 16.4.
d) μ > 16.4.
(C) If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis?
a) μ < 16.4.
b) μ ≠ 16.4.
c) μ > 16.4.
d) μ = 16.4.
(D) Suppose you do not know if the storm is getting worse or dying out. You just want to test the hypothesis that the average wave height is different (either higher or lower) from the severe storm class rating. What would you use for the alternate hypothesis?
a) μ > 16.4.
b) μ = 16.4.
c) μ ≠ 16.4.
d) μ < 16.4.
(E) For each of the tests in parts (b), (c), and (d), would the area corresponding to the P-value be on the left, on the right, or on both sides of the mean?
a) left; right; both.
b) left; both; right.
c) both; left; right.
d) right; left; both.
Answers
Answer:
a) c) μ = 16.4.
b) d) μ > 16.4.
c) a) μ < 16.4.
d) c) μ ≠ 16.4.
e) d) right; left; both.
Step-by-step explanation:
Question a:
Test if it is getting worse, so at the alternative hypothesis we test if the mean is of greater than 16.4 inches, but at the null hypothesis we test if it is still of 16.4 options, so option C.
Question b:
At the alternative hypothesis we test if the mean is of greater than 16.4 inches, as said above, so the answer is given by option d.
Question c:
Dying down, so if the mean is lower than 16.4 inches, so option a.
Question d:
Don't know, so just test if it is different, which includes both lower or greater, so the correct answer is given by option c.
Question e:
Test if more -> right, so on question b) is a right tailed test.
Test if less -> left, so on question c) is a left tailed test.
Different -> both sides, so on question d) it is a two-tailed test.
Thus the correct answer is given by option d.
Complete the steps to solve the equation. 3x - 6(5x + 3) = 9x + 6 1. The distributive property 3x - 30x 18 = gr + 6 2 Combine like terms. -27x - 18 = 9x + 6 3. Addition property of equality: -18 = 36x + 6 4. Subtraction property of equality: -24 = 36x 5. Division property of equality I
Answers
Answer:
see below
Step-by-step explanation:
3x - 6(5x + 3) = 9x + 6
Distribute
3x -30x-18 = 9x+6
Combine like terms
-27x - 18 = 9x+6
Add 27x to each side
-27x+27x-18 = 9x+27x+6
-18 = 36x+6
Subtract 6 from each side
-18-6 = 36x+6-6
-24 = 36x
Divide by 36
-24/36 = 36x/36
Simplify
-2/3 = x
Answer:
[tex]\small \sf x = \frac{2}{-3} \\ [/tex]
Step-by-step explanation:
3x - 6(5x + 3) = 9x + 6.
Use the distributive property to multiply -6 by 5x + 3.
3x - 30x - 18 = 9x + 6
Combine 3x and -30x to get -27x.
-27x - 18 = 9x + 6
Subtract 9x from both sides.
-27x - 9x - 18 = 9x - 9x + 6
-36x - 18 = 6
Add 18 to both sides.
-36x - 18 + 18 = 6 + 18
-36x = 24
Divide both sides by -36.
[tex]\small \sf \frac{ -36x}{ -36} = \frac{24}{-36} \\ [/tex]
Reduce the fraction [tex]\frac{24}{-36} [/tex] to lowest terms by extracting and canceling out 12.
[tex]\small \sf x = \frac{2}{-3} \\ [/tex]
Is the point (-3,2) part of the solution set to the system y < -4x - 3, x + 8y > 7
Answers
Answer:
Yes
Step-by-step explanation:
If you replace each x with -3 and each y with 2 you get:
1) 2<-4*(-3)
2<12
True
2) -3+8*2>7
13>7
True
Therefore the point is part of the solution set
PLEASE HELP ASAP! What is the value of x in the inequality start fraction seven plus two x over five end fraction minus three less than x ?
A. x greater than negative start fraction eight over three end fraction
B. x less than negative start fraction eight over three end fraction
C. x greater than start fraction eight over three end fraction
D. x less than negative start fraction three over eight end fraction
Answers
Answer:
A
Step-by-step explanation:
the first one in the picture
Use completing the square to solve x^2+6x=13
Answers
Answer:
x = -3 +/- square root(22)
Step-by-step explanation:
x = -b +/- square root(b^2 - 4ac) / 2a
ax^2 + bx + c = 0
these are both the quadratic formula but one is solved for the x and another for 0
a= 1
b= 6
c = -13
x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)
x = -6 +/- sqrt( 36 + 52) / 2
x= -6 +/- sqrt (88) / 2
sqrt of 88 = 2 x sqrt (22)
divide 2 on each
x= -3 +/- sqrt (22)
Can someone help me please..
Answers
number of bald eagles in a country a discrete random variable, a continuous random variable, or not a random variable?
Answers
Answer:
Discrete random variable.
Step-by-step explanation:
Discrete variable:
Countable numbers(0,1,2,3,...)
Continuous variable:
Can assume decimal values, such as 0.5, 2.5,...
Number of bald eagles:
Number of bald eagles is a countable value, either there a 0, 100, 1000,... so it is a discrete random variable.
Answer:
Discrete random variable.
Step-by-step explanation:
