Answer:45.5
Step-by-step explanation:
What is the measure of BPC?
Answer:
[tex]\angle BPC=100^{\circ}[/tex]
Step-by-step explanation:
Assuming P is the center of the circle:
The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
The length of PQ is ____ ft.
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex] [Angle sum property]
[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]
[tex]m\angle P+116^\circ=180^\circ[/tex]
[tex]m\angle P=180^\circ -116^\circ[/tex]
[tex]m\angle P=64^\circ[/tex]
According to Law of Sines, we get
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using the Law of Sines, we get
[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]
[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]
Substituting the given values, we get
[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]
[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]
[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]
[tex]2.38989=PQ[/tex]
Approximate the value to the nearest tenth of a foot.
[tex]PQ\approx 2.4[/tex]
Therefore, the length of PQ is 2.4 ft.
10.
AABC is dilated by a scale factor of with the origin as the center
of dilation. Given A(-6, 4), B(0, -4), and C(2, -8), what would be
the x-coordinate of A'?
Record your answer and bubble the grid.
Plez help
can you please explain how i can work through these problems?
6. Which of the following statements below is correct?
A. Circumference is the result of adding diameter by pi.
B. Circumference is the result of dividing diameter by pi.
C. Circumference is the result of subtracting diameter by pi.
D. Circumference is the result of multiplying the diameter by pi.
d
.........................
Using the picture above Find the measure of arc EF
Given:
Measure of arc CG is 125 degrees.
The measure of angle CDG is 85 degrees.
To find:
The measure of arc EF.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]
Let x degrees be the measure of arc EF.
Substituting the given values, we get
[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]
[tex]2\times 85^\circ=125^\circ+x[/tex]
[tex]170^\circ -125^\circ=x[/tex]
[tex]45^\circ=x[/tex]
Therefore, the measure of arc EF is [tex]45^\circ[/tex].
Need help please!!!!!!!!!!
Answer:
n=39
Step-by-step explanation:
I answered, now do the test on your own, no one likes a cheater
Please someone please helps me with this question pls
A system of equations is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 1, 2).
How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions
Answer:
one unique solution
Step-by-step explanation:
one unique solution => (-1, 2)
Answer:
B
Step-by-step explanation:
Obwód narysowanego obok sześciokąta wynosi 72 cm. Oblicz długości wszystkich jego boków.
Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.
Answer:
334
Step-by-step explanation:
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
Plz help me thanks
Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m
m^2-13+ ? =( ? )^2
Answer:
Trinomial
[tex]m^2 - 13m + \frac{169}{4}[/tex]
Binomial squared
[tex](m - \frac{13}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]m^2-13m[/tex]
Required
Make a perfect trinomial
We have:
[tex]m^2-13m =[/tex]
-----------------------------------------------
Take the coefficient of m i.e. -13
Divide by 2 i.e. -13/2
Square i.e. (-13/2)
Add to both sides of the equation
-----------------------------------------------
[tex]m^2-13m =[/tex] becomes
[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]
[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]
Expand
[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]
Factorize:
[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Factor out m - 13/2
[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Write as square
[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]
Hence, the trinomial is:
[tex]m^2 - 13m + \frac{169}{4}[/tex]
And the binomial squared is:
[tex](m - \frac{13}{2})^2[/tex]
7x+8y= 8
Slope
Y intercept
Answer:
Slope = -7/8
Y-intercept = (0, 1)
Step-by-step explanation:
Answer:
[tex]slope = - \frac{7}{8} [/tex]
y- intercept= 1
Step-by-step explanation:
Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.
7x +8y= 8
8y= -7x +8
Divide by 8 on both sides:
[tex]y = - \frac{7}{8} x + 1[/tex]
Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.
Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.
7x +8y= 8
When x= 0,
7(0) +8y= 8
8y= 8
y= 8 ÷8
y= 1
Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).
Note: slope and gradient have the same meaning and can be used interchangeably
A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.
Answer:
1164.01
Step-by-step explanation:
First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.
Pleaseeee helpppp meee
Answer:
try searching it
Step-by-step explanation:
Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.
14:30 describes her class in terms of number of girls to total number of students
Mario builds a triangular table- help!!
Answer:
Step-by-step explanation:
question 1a) hey, so it would look like this for example:
question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)
tell me if u have any questions
Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.
A. 1/5 foot
B. 1/3 foot
C. 3/5 foot
D. 2/3 foot
Answer:
D. 2/3 per year.
Step-by-step explanation:
3 1
3
÷ 5
=
10
3
÷ 5
=
10
3
×
1
5
=
10 × 1
3 × 5
=
10
15
=
10 ÷ 5
15 ÷ 5
=
2
3
Plz help meeeeeeeeeeee
Answer:
kjk
Step-by-step explanation:
ddfv
What is the value of x in the circle to the right?
9514 1404 393
Answer:
10 1/16 cm
Step-by-step explanation:
The Pythagorean theorem can be used.
(8 +x)² = x² +15²
64 +16x +x² = x² +225
16x = 161
x = 161/16 = 10 1/16 = 10.0625 . . . cm
The table represents a proportional relationship. Complete the table and write an equation that describes the relationship
Answer:
Which table?
There's non
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.
Answer:
0.62 im 99% sure
Step-by-step explanation:
Answer:
0.62
Step-by-step explanation:
Gabriela bought 48 tickets in order to win the $1000 grand prize for the raffle organized by the Student Council. If there are
432 tickets sold for the raffle, what is the probability that Gabriela will not win the grand prize?
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:
[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]
Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent
Answer:
A perpendicular
B bisect each other
D. congruent
Step-by-step explanation:
Given
Attached quadrilateral
Required
Relationship between EG and DF
First, we have that: DEFG is a square
EG and DF are diagonals
Using the property of diagonals of a square, we have:
EG and DF to be perpendicular
EG and DF to be congruent
EG and DF to be bisect each other
help(I need this to pass 6th)
Answer:
It is going to be the first one
Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?
Answer:
that is you ni report kits
I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121
Answer:
301
Step-by-step explanation:
3 + 0 + 1 = 4
301 / 7 = 43
301 / 2 = 105.5
Answer:
301
Step-by-step explanation:
301 divided by 7 = 43
301 is not divisible by 2
3 + 1 + 0 = 4
Hope this helps :)
$74.00 sweatshirt; 5% tax
|
Answer:
the tax amount is $3.7
Step-by-step explanation:
Given that
The price of the sweatshirt is $74
And, there is a 5% tax
So we assume that We need to find out the tax amount
So here the following formula should be used
= Price of the sweatshirt × tax rate
= $74 × 0.05
= $3.7
Hence, the tax amount is $3.7
So the same would be considered and relevant
Convert the time. Enter your answer in the box.
4 minutes 53 seconds =
seconds
Answer:
293 seconds
Step-by-step explanation:
60*4=240
240+53=293
The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
December
Gas Mileage of Cars Sold in June
which inference can be made about cars?
a) The type of cars sold in June typically gets better gas mileage
b) The type of cars sold in December typically gets better gas mileage
c) The type of cars sold in the two months typically get about the same gas mileage
d) The types of cars sold in the two months typically get better gas mileage then those sold in other months
please help, thanks!
Answer:C
Step-by-step explanation:
I took the test
Answer:
C
Step-by-step explanation:
The types of cars sold in the two months typically get about the same gas mileage.