Answer:
the number of degrees=2
Answer:
15
Step-by-step explanation:
Let t be the number of degrees in the measure of angle BAC (which is what we want to compute).
Since AX=XY, we have AYX = YAX = BAC = t. Then, since the sum of angles in triangle AXY is 180, we have AXY = (180-2t).
Angles AXY and BXY add to form a straight angle, so they are supplementary; BXY = (180-(180-2t)) = (2t).
Since XY=YB, we have XBY = XY = (2t). Since the sum of angles in XYB is 180, we have XYB = (180-4t).
Angles AYX, XYB, and BYC add to form a straight angle, so their sum is 180. Therefore, BYC = (180-t-(180-4t)) = (3t).
Since YB=BC, we have YCB = BYC = (3t). Since the sum of angles in YBC is 180, we have YBC = (180-6t).
Finally, ABC = XBY + YBC = (2t) + (180-6t) = (180-4t). We know this is equal to 120, so we solve the equation 180-4t = 120 to obtain t=15.
PLS HELP I AM STUCK!!! 10^2+4-18+2-7*5-1
Answer:52
Step-by-step explanation:
Use pemdas :D
10^2+4-18+2-7*5-1
100+4-18+2-(7)(5)-1
104-18+2-(7)(5)-1
86+2-(7)(5)-1
88-(7)(5)-1
88-35-1
53-1
52
THE ANSWER TO YOUR PROBLEM!
52
THE ANSWER TO THE ANSWER TO YOUR PROBLEM!
10^2=100
10^2+14=114
10^2+4-18=86
10^2+4-18+2=88
10^2+4-18+2-7=81
10^2+4-18+2-7*5=83
10^2+4-18+2-7*5-1=52!
Hope i helped!-Animefan28
Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)
Answer:
D. 10(6y - 9 - 2x)
Step-by-step explanation:
We want to factor 60y - 90 - 20x.
We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.
10 is common among all three:
10(6y - 9 - 2x)
We have factored it.
Answer:
c
d
Step-by-step explanation:
If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel then prove that the two lines are parallel
Answer:
They are equal angles.
In right triangle ABC, ∠A is a right angle and sinC=15/17 What is the ratio cosC? Enter your answer as a fraction in simplest form, like this: 42/53
Answer:
8/17
Step-by-step explanation:
Here, we should know that the sine of an angle is the ratio of the opposite to the hypotenuse
So in this case, 15 is the opposite and 17 is the hypotenuse
To find the cos of same angle, it is the ratio of the adjacent to the hypotenuse
We need the adjacent side
We can use Pythagoras’ theorem here
It states that the square of the hypotenuse equals sum of the squares of the two other sides
let’s say the adjacent is f
17^2 = 15^2 + f^2
f^2 = 17^2 -15^2
f^2 = 64
f = √(64)
f = 8
So the Cos C would be adjacent/hypotenuse = 8/17
Which graph shows the solution to this system of inequalities?
Answer:
Your graph is supposed to be like this so your answer is C
Step-by-step explanation:
Hope this is correct
HAVE A GOOD DAY
Guests at a wedding had a choice of three main courses: fish, beef or chicken. ⅖ of the guests ordered fish, 3/10 ordered beef. The rest ordered chicken. What fraction of the guests ordered chicken?
Answer:
I answered this for you already :)
Reflect triangle a in the x axis to give triangle b. Then rotate your triangle b 90 degrees clockwise around the origin to give triangle c. Describe fully the single transformation that maps triangle a onto c
Answer:
The single transformation that maps a onto c is the reflection of the triangle a about the line y = -x
Step-by-step explanation:
To answer the question, we note that the result of reflection of a point (x, y) across the x axis is given as follows;
Coordinates before reflection = (x, y), Coordinates after reflection = (x, -y)
Also, when we rotate a point, (x, y), 90° clockwise, we have;
Image point before 90° clockwise rotation = (x, y), Image point after 90° clockwise rotation = (y, -x)
Therefore, the rotation of the point (x, -y), 90° clockwise will give
Image point before 90° clockwise rotation = (x, -y), Image point after 90° clockwise rotation = (-y, -x)
Which gives the combined transformation as (x, y) → (-y, -x) which is the rule equivalent to reflection about the line y = -x.
1. Find the component form of the vector that represents the velocity of an airplane descending at a speed of 100 mph at an angle of 45° below the horizontal. (Leave answers in exact form)
Answer:
<70.71, -70.71>
Step-by-step explanation:
The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:
horizontal component = module * cos(angle)
horizontal component = 100 * cos(-45)
horizontal component = 70.71
vertical component = module * sin(angle)
vertical component = 100 * sin(-45)
vertical component = -70.71
So the vector in the component form is <70.71, -70.71>
The negative sign of the vertical component means its direction is downwards.
The component form should be <70.71, -70.71>
The calculation is as follows:
horizontal component = module ( cos(angle))
= 100 (cos(-45))
= 70.71
And,
vertical component = module (sin(angle))
= 100 (sin(-45))
= -70.71
Learn more: https://brainly.com/question/5763151?referrer=searchResults
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?
Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = playing time of jazz CDs
SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is = [tex]\frac{45-52}{7}[/tex] = -1
For 59 minutes, z-score is = [tex]\frac{59-52}{7}[/tex] = 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
Write 14/√2 + √50 in the form b√2 where b is an integer.
Answer:
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
Taking the terms one at a time,
[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]
[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]
Adding the terms, you have;
[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]
Hope it helps!
I'm out!
Answer:
12
Step-by-step explanation:
14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2
12√2= b√2
b=12
To play in the children's area at McDonald's, a child must be shorter than 47 inches tall. A mother with eight children knows that all eight of her children can play at McDonald's after checking to see that her tallest child is shorter than 47 inches .
Bags of sugar come in 3 sizes: Small bag: A 250 g bag costs 60p. Medium bag: A 500 g bag costs £1.10. Large bag: A 3 kg bag costs £6.50. Calculate the cost of 3 kg for the small and medium bags. Give your answer in pounds to 2 dp.
The cost of 3 kilograms of sugar in small bags is £7.20 and the cost of 3 kilograms of sugar in medium bags is £6.60.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To calculate the cost of 3 kilograms of sugar in small bags, we first need to determine how many 250-gram bags are needed to make 3 kilograms. To do this, we divide 3 kilograms by 250 grams/bag, which gives us 12 bags.
The cost of 3 kilograms of sugar in small bags is then 60p/bag x 12 bags = £7.20.
To calculate the cost of 3 kilograms of sugar in medium bags, we again need to determine how many 500-gram bags are needed.
Dividing 3 kilograms by 500 grams/bag gives us 6 bags.
The cost of 3 kilograms of sugar in medium bags is then £1.10/bag x 6 bags = £6.60.
Thus, 3 kilograms of sugar in small bags cost £7.20, whereas 3 kilograms of sugar in medium bags costs £6.60.
To learn more about the division operation click here :
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.- Calcule el interés producido por un capital de 4 500 dólares al 5% de interés simple anual en 8 meses.
Answer: $150
Step-by-step explanation:
Hi, the question says:
Calculate the simple interest produced by $4500 at 5% simple annual interest in 8 months.
To answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t = years
Since 1 year = 12 months;
For 8 months:
8/12 = 2/3 years
Replacing with the values given
I = 4500 x (5/100) x 2/3
I = $150
Feel free to ask for more if needed or if you did not understand something.
Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explain your thinking.
Answer:
Step-by-step explanation:
log8 62 = x1
8^x1= 62
8^2 =64 >62 so x1<2
log7 50=x2
7^x2=50
7^2=49<50 so x2>2
we have, x1<2 and 2<x2
x1<2<x2
x1<x2
log8 62<log7 50
Answer ASAP please !!
What is the cost of one rose bush ?
What is the cost of one shrub ?
Answer: rose = 7, shrub = 7
Step-by-step explanation:
First equation 10r + 4s = 98
r = (98-4s) / 10
Second equation 9r + 9s = 126
Substituting
9 (98-4s) / 10 + 9s = 126
9(49-2s) / 5 + 9s = 126
(441-18s) / 5 + 9s = 126
441 - 18s + 45s = 630
441+ 27s = 630
27s = 630 - 441
s = 189 / 27 = 7
Cost of shrub = 7
Cost of rose = (98 - 4s) / 10
= 98-28 = 70 / 10 = 7
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
y=9xy=9xy, equals, 9, x
(Choice B)
B
2y=18x2y=18x2, y, equals, 18, x
(Choice C)
C
pls answer as fast as u can
Answer:
3,12,15
Step-by-step explanation:
caculator
what is the graph of y > x2-9.
Answer:
The 1st graph
Step-by-step explanation:
When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.
what is the shape graphed by the function r = 1+ sin theta
Answer: Is known as a "heart" shape.
Step-by-step explanation:
r = 1 + sin(θ)
Let's do it without a graph, let's use only math and logic:
remember that θ is measured from the x-axis
when θ = 0, we have r = 1 (so we have a radius of 1 over the x-axis)
when θ = pi/2, we have r = 1 + sin(pi/2) = 2
when θ = pi, we have r = 1 + sin(pi) = 1
when θ = 3*pi/2, we have r = 1 + sin(3*pi/2) = 0
First, we have symetry around the y-axis,
now, notice that the value of x in θ = 0, θ = pi and θ = 3*pi/2 is the same. so this is not a circle, this is actually a circle where the bottom part is flatted.
But not actually flat, because between θ = pi and θ = 2pi we are in the negative y-axis, so in this region we have two small bumps that connect in the point (0, 0)
This is a kinda "heart" shape.
Answer: cardioid
Step-by-step explanation:
Find the area of the circle use 3.14 for
Answer:
530.66 cm²
Step-by-step explanation:
Area of a circle is 3.14 × radius²
3.14 × 13²
3.14 × 169
=530.66
The area of the circle is 530.66 cm².
Answer:
The answer is (approximately) [tex]530.66 cm^2[/tex]
Step-by-step explanation:
We are given the radius ([tex]13cm[/tex]).
Use the formula for the area of a circle: [tex]\pi r^2[/tex] (using [tex]3.14[/tex] for [tex]\pi[/tex])
Thus...
[tex](3.14)(13)^2[/tex]
We equals around 530.66.
i seriously dont know what the answers are for these, can anyone help?
Answer:
11.x=4
12. m1=69
m2=69
m3=21
m4=69
m5=21
Step-by-step explanation:
Alex, Isaac and Mitch shared a cake. Alex ate 2\5 of the cake, Isaac ate 1/3 of the cake and Mitch ate the rest. What fraction of the cake dis Mitch ate?
Answer:
4/15
Step-by-step explanation:
Can you please help me answer this question as I do not know how to. Thank you Solve: x + 7 < 3
Answer:
SOLUTION SET ={x/x<-4}
Step-by-step explanation:
x+7<3
in order to find the value of x
subtracting 7 on both sides
x+7-7<3-7
x<-4
I HOPE THIS WILL HELP YOU :)
Answer:
The answer is x < -4
Step-by-step explanation:
In order to solve the inequality, you have to subtract 7 to both sides, to make x the subject :
[tex]x + 7 < 3[/tex]
[tex]x + 7 - 7 < 3 - 7[/tex]
[tex]x < - 4[/tex]
Heeeeelllpppp meeeeee!!!!
Look at the picture to answer this question!
Answer:
A. 72
Step-by-step explanation:
Determinant of a 2x2 matrix: ad - bc
In that case,
24(18) - 30(12)
432 - 360
72
And we have our answer.
if y= -6 when x= -2 find y when x= 5
Answer:
Y=15 when x=5
Step-by-step explanation:
if y= -6 when x= -2
So y=? When x=5
Y=15
Hope this helps
Good Luck
work out the volume of a sphere please help i’ll give u brainlest
Answer:
V = 3591.4 cm³
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 9.5 cm
V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]
V = [tex]\frac{10774}{3}[/tex]
V = 3591.4 cm³
Answer:
[tex]3591.4{cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]
Find the 87th term of the arithmetic sequence –19, -13, -7,...
Answer:
87th term is 497
Step-by-step explanation:
first, you have to find the nth term:
figure out the difference between your set of numbers (in our case +6)
that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.
nth term= 6n-25
now replace n with 87.
final step:
87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497
497 is your 87th term.
Answer:
-535Step-by-step explanation:
[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]
8 1/6 × 12 solve the equation
Answer:
Step-by-step explanation:
8 1/6=49/6
49/6*12=49*2=98
if this is the question 81÷6(81/6) ×12
Answer:243
EXPLANATION:
What is 40% of 260..
Answer:
104
Step-by-step explanation:
40 x 260 /100 = 104
Answer:
104
Step-by-step explanation:
40% of 260=
40/100 x 260=
10400/100=
104
what is the answer to 5x+4=9
Answer:
x=1
Step-by-step explanation:
5x-4=9
5x=9-4
5x=5
x=1
find the value of x and z
please give correct answers
it's urgent
Step-by-step explanation:
Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:
4x + 24 = 7x + 3
-3x = -21
x = 7°
Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:
4x + 24 + z = 180
4 * 7 + 24 + z = 180 (Substitute x = 7)
28 + 24 + z = 180
52 + z = 180
z = 128°