Hello,
d)
The tangential angle of mesure x intercept the same arc intercepted by the inscribed angle of mesure 70 have the same mesure:
x=70°
e)
There is a rectanglar triangle with a angle of 64°
The complement is 90°-64°=26°
The inscribed angle of mesure x has a mesure which is the half of the center angle of 26°
So x=13°
I hope i have used the right words in my answer.
Line b has a slope of -2/7. Line c is perpendicular to b. What is the slope of c?
Perpendicular lines have negative reciprocal slopes.
This is just a fancy way of saying flip the fraction and change the sign.
So the slope of line c is 7/2.
Find the product
14/4 • 33/10 =
Answer:
Step-by-step explanation:
[tex]\frac{14}{4}*\frac{33}{10}=\frac{7}{2}*\frac{33}{10}\\\\ =\frac{7*33}{2*10}\\\\=\frac{231}{20}\\\\=11\frac{11}{20}[/tex]
Which graph represents a function?
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.find the size of each of the unknown angles
plz give me solution
Answer:
80°Step-by-step explanation:
See the picture
It should be self-explanatory
The top part of the angle a is:
35° + 165° - 180° = 20°The bottom part of the angle a is:
180° - 120° = 60°The measure of angle a is:
20° + 60° = 80°Firstly, draw a line parallel to UT
Something like in the picture
Now,
a = BNU
Also,
BNU + BNM = 165°
Which equation in slope-intercept form represents a line that passes through the point (2,3) and is parallel to the line y-9=2/3(x+7)
Answer:
y=(2/3)x+5/3
Step-by-step explanation:
y-9=2/3(x+7)
y=(2/3)x+14/3+9
The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:
y=(2/3)x+b (where b is the y-intercept)
We can plug in the values (2,3) into this equation to find b:
3=(2/3)*2+b
3=4/3+b
b=5/3
The equation is: y=(2/3)x+5/3
If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .
Answer:
[tex]2y^2-7y+6=0[/tex]
Step-by-step explanation:
We are given that [tex]\alpha[/tex] and [tex]\beta[/tex] are the zeroes of the polynomial [tex]6y^2-7y+2[/tex]
[tex]y^2-\frac{7}{6}y+\frac{1}{3}[/tex]
We have to find a quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex].
General quadratic equation
[tex]x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes[/tex]
We get
[tex]\alpha+\beta=\frac{7}{6}[/tex]
[tex]\alpha \beta=\frac{1}{3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3[/tex]
Substitute the values
[tex]y^2-(7/2)y+3=0[/tex]
[tex]2y^2-7y+6=0[/tex]
Hence, the quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex] is given by
[tex]2y^2-7y+6=0[/tex]
Given that u=4,t=5,a=10and s=it+1\2at
If (2,1) is the midpoint of the line segment ST and the coordinates of S are (5,4), find the coordinates of T.
Answer:
Step-by-step explanation:
The formula to find the midpoint of a segment is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the midpoint and we also have a coordinate of (5, 4). Let's let x₁ = 5 and y₁ = 4. Filling in what we have:
[tex](2,1)=(\frac{5+x_1}{2},\frac{4+y_2}{2})[/tex] and we'll deal with the x terms first. The x coordinate of the midpoint is 2, so:
[tex]2=\frac{5+x_2}{2}[/tex] and multiply both sides by 2 to get rid of the denominator to get:
4 = 5 + x₂ so
x₂ = -1. Going on to the y coordinate. The y coordinate of the midpoint is 1, so:
[tex]1=\frac{4+y_2}{2}[/tex] and again multiply both sides by 2 to get rid of the denominator to get:
2 = 4 + y₂ so
y₂ = -2
The coordinates of T are (-1, -2)
Calculate the exact value of number one
Answer:
1. a. (ii) 1/27
Step-by-step explanation:
1st one is already given, I will give you the answer to the second one,
³√27/9²
= 3/81
= 1/27
Answered by GAUTHMATH
Answer:
17/42 or in decimal 0.405
Step-by-step explanation:
Add: 1 4/7+2/3- 1 5/6= 47/21- 1 5/6
Subtract: 47 - 1 5/6 = 17/42
Simplify: 17/42
a salesperson earns a monthly salary of $500 and an 8% commission on all sales for that month. write an equation to model this relation
Answer:
pay = $500 + (.08*Sales)
Step-by-step explanation:
10. Evaluate the function rule for the given value.
y = 12x3^for x =-2
Answer:
-96
Step-by-step explanation:
by replacing -2 on the place of x we get 12x-8= -96
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]\frac{\sqrt{10} }{2}[/tex]
Step-by-step explanation:
on a 45 - 45 - 90 triangle if the sides are x then the hypotenuse is x[tex]\sqrt{2}[/tex]
so,
[tex]\sqrt{5}[/tex] = x[tex]\sqrt{2}[/tex] (Divide by [tex]\sqrt{2}[/tex] )
[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] = x (rationalize the denominator)
[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] · [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{10} }{\sqrt{4} }[/tex] = [tex]\frac{\sqrt{10} }{2}[/tex]
The length of side is √10/2
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a 45-90-45 so if the sides are x then the hypotenuse will be x√2
From the figure the hypotenuse of triangle is √5
SO equation it to x√2
We get √5=x√2
Divide both sides by √2
√5/√2=x
As the denominator should be a whole number we have to rationalize the denominator.
Multiply numerator and denominator with √2
√5/√2×√√2/√2
√10/2
Hence, the length of side is √10/2
To learn more on trigonometry click:
https://brainly.com/question/25122835
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Tìm x €N: a) 24:(2x-4)+14=26
Answer:
2x-4+14=26 add -4+14 this will give you +10
2x+10=26 subtract 10 on both side this will give you 16
2x=16 divide by 2 on both side this will give you 8
x=8
Step-by-step explanation:
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
Can someone help me with this math homework please!
OPTION C
The variable x represents the independent variable.
A coordinate plane.
A line goes through the point (–4,–2) and has an x-intercept of –1.
Which point also lies on the line?
A (–6,–5)
B (3,2)
C (4,5)
D (5,4)
Answer: D. (5, 4)
Step-by-step explanation:
An x-intercept of -1 means the point = (-1, 0)
So find the slope(m) using the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex](x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}[/tex]
Now find the y-intercept(b) by substituting a point into the function:
y = mx + b
[tex]y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}[/tex]
So now the function is determined as [tex]y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)[/tex].
Bring each of the coordinates in to see if it fits in:
A. (-6, -5) [tex]\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5[/tex]
B. (3, 2) [tex]\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2[/tex]
C. (4, 5) [tex]\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5[/tex]
D. (5, 4) [tex]\frac{2}{3}(5+1)=\frac{2}{3}(6)=4[/tex]
Answer:
D(5,4)
Step-by-step explanation:
Took Quiz
tìm nghiện của đa thức
A.x-2
B.2x-7
C.(X-4)*(2-3X
Answer:
C.
make me brainlest if you copy okay
Which option correctly shows one row of a stem-and-leaf plot that displays this data set? 24,35,10,32,19,26,24,30,17,19,20,35
Answer:
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Step-by-step explanation:
Given the ordered version of the data:
10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35
. The stem is the tens digit and leaf is the unit digit of each data.
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Since there isn't any option given, then the row could be any of row values above.
An angle measures 42.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
x + (x-42.2) = 90
2x - 42.2 = 90
add 42.2 to both sides
2x = 132.2
divide each side by 2
x = 66.1
find the measure of the other angle
66.1 - 42.2 = 23.9
Step-by-step explanation:
Answer:
66.1° and 23.9°
Step-by-step explanation:
Complementary angles are angles that sum up to 90°
So equation : x + x - 42.2 = 90
2x - 42.2 = 90
2x = 132.2
x = 66.1
66.1° is the "other complementary angle"
This angle is 66.1 - 42.2 = 23.9°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If a student can type 120 if if if if a student can type 120 words in 3
minutes, at this rate, how many words can
she type in 5 minutes?
(C) 180
(A) 240
(D) 160
(B) 200
(E) 120
Answer:
200
Step-by-step explanation:
Given: they can type 120 words in 3 minutes
Find number of words they can type in 1 minute: Words typed in 1 minute = 120/3=40
Solution: Words typed in 5 minutes = 40 * 5 = 200
Answer:
200 words
Step-by-step explanation:
First we need to find the words per minuite the student can type
we can do this by taking the number of words typed in 3 mins and dividing it by 3
120/3 = 40
Now we know she types 40 words per min
multiply 40 by 5 to get the no. of words typed in 5 mins
40*5=200
200 is the words she types in 5 mins
pls give brainliest
Can someone help me with this math homework please!
Answer:
(B) h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
Step-by-step explanation:
You've probably seen this function notation format before, most likely f(x). Other common ones are g(x) and p(x). The f, g, and p are just function names, like the h in this question.
The t in the parentheses is the input, because it's the same as the t in 210 - 15t.
Together, h(t) is the output, which is the exact same as y if you used the formula y = mx + b.
Hope it helps (●'◡'●)
Solve for x
Help me please
Answer:
x = 42.5
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )
Hence angle C = 90
If angle C = 2x + 5
Then 2x + 5 = 90
Notice that we just created an equation that we can use to solve for x
We now solve for x algebraically
2x + 5 = 90
Step 1 subtract 5 from both sides
2x + 5 - 5 = 90 - 5
Outcome: 2x = 85
Step 2 divide both sides by 2
2x/2 = 85/2
Outcome: x = 42.5
Find the standard form for the equation of the line which passes through the point (10, 53) and which has a y-intercept of — 3.
Answer:
Step-by-step explanation:
eq. of line with slope m and intercept 3 is
y=mx+3
∵ it passes through (10,53)
53=10m+3
10m=53-3=50
m=50/10=5
y=5x+3
so standard form of eq. is
5x-y+3=0
or
5x-y=-3
A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is 40 or
above, given that he or she gets the news by reading the paper? If necessary.
round your answer to the nearest percent.
Answer:
A) 60%
Step-by-step explanation:
24/40
= 0.6
0.6*100
= 60%
I really hope this is right and it helps.
At the time of her grandson's birth, a grandmother deposits $3000 in an account that pays 9.5% compounded monthly.
What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
74820
Step-by-step explanation:
9.5% of 3000 is 285
there are 12 months in a year
so 12 times 21 equals 252
so 285 times 252 add 3000 equals 74820
simplify the expression (11-5i) - (12+2i)
Answer:
= -(1+7i)
Step-by-step explanation:
(11-5i)-(12+2i)11-5i-12-2i11-12-5i-2i-1-7i-(1+7i)hope it helps stay safe healthy and happy....2x - y when x = 0 and y = -5
Answer:
5
Step-by-step explanation:
2x - y when x = 0 and y = -5
2(0) - (-5) =
= 0 + 5
= 5
Answer:
5
Step-by-step explanation:
2x-y
2(0)-(-5)
0-(-5)
0+5
5
A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads
Answer:
[tex]Sets = 27[/tex]
Step-by-step explanation:
Given
[tex]Coin = 1[/tex]
[tex]Toss = 5[/tex]
Required
Number of outcomes with at most 3 heads
First, we list out the sample space of a toss of coin 5 times
[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]
Next, we list out all outcomes with at most 3 heads
, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]
So, the number of set is:
[tex]Sets = 27[/tex]
Find the surface area of the pyramid
What is the value of x?
Enter your answer in the box.
x = in.
Answer:
24
Step-by-step explanation: