Answer:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.
We know that the sum of interior angles equals 180°.
So, a + b = 180°
a + 14a = 180°
15a = 180°
a = 180/15
a = 12°
At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°
The angle vertically opposite to a is d = a = 12°
The angle vertically opposite to a is b = e = 168°
At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°
the angle vertically opposite to angle b is g = b = 168°
the angle vertically opposite to f is h = 12°
Answer:
168 degrees and 12 degrees
Step-by-step explanation:
i cant explain on here but i hope this helps :)
What is total number of elements in 3 trials of rolling a 6-sided die?
Answer:
216 elements
Step-by-step explanation:
the total number of elements of a dice is :
6^n
6 stand for the 6 faces of the dice
n stands for the number trial
then total number of elements in 3 trials of rolling a 6-sided die is 6^3=216 elements
In the equation y = 2x + 6
If x= 2, then what is y equal to?
Answer:
y = 10
Step-by-step explanation:
y = 2x + 6
Let x =2
y = 2*2 +6
y = 4+6
y = 10
Answer:
y= 10Step-by-step explanation:
[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]
[tex]y = 10[/tex]
I WILL MARK THE BRAINLIEST! please help me
There are 200 students in 8th grade. There are 3 different elective classes. All 8th grade students must take at least one elective.
- 35 total students are in drama
- 75 total students are in cooking
- 15 students are in both drama and P.E
-10 Students are in drama and cooking
- 5 students are in P.E and cooking
- 8 students are in all three electives
How many students are in P.E?
How many are ONLY in P.E?
Please answer both questions in two sentences.
Answer:
How many students are in P.E? 90
How many are ONLY in P.E? 62
Step-by-step explanation:
How many students are in P.E?
200 students in 8th grade.
35=drama
75=cooking
200-110=90=PE.
How many are ONLY in P.E?
Within 90 students, 15 is also in drama, with 5 is also in cooking, and 8 is in all of 3. =28.
90-28=62
Hope this helps!
can u help me spot the sequence
Answer:
Hey mate... I don't know the first three... But mayb I can help u in last one.
Step-by-step explanation:
The answer is : 2: 6: 18: 54: 162: 426
I can see the pattern by multiplying.. As from 3
2x3=6 :6x3=18 :18x3= 54 :54x3=162 :162x3=426
So I guess this is the ans
Hope it helped u!
Sales of a popular toy were about 20 million in 2000 and growing about 5% each year. At this growth rate, the function f(x) = 20(1.05)^x gives the annual number of toys sold in million in the xth year after 2000. Using this model, in about what year will the annual sales surpass 37 million?
===========================
Work Shown:
Plug in f(x) = 37. Solve for x. Use logarithms.
f(x) = 20(1.05)^x
37 = 20(1.05)^x
20(1.05)^x = 37
1.05^x = 37/20
1.05^x = 1.85
log( 1.05^x ) = log( 1.85 )
x*log( 1.05 ) = log( 1.85 )
x = log( 1.85 )/log( 1.05 )
x = 12.6088044498867
Round up to the nearest whole number to get x = 13.
In the year 2013, sales exceed 37 million.
La trayectoria de cierto satelitese ajusta ala grafica de la funcionf(x) igual6x al cuadradomenos 12donde x representael tiempo en días y f(x9 el recorrido en kilometroscuantos kilómetros habrá recorridoel sateliteal cabo de diez días desde su lanzamiento
Answer:
588 kilómetros
Step-by-step explanation:
La función con la que estamos trabajando según la pregunta es;
F (x) = 6x ^ 2 -12
Ahora, la pregunta que simplemente nos hace es encontrar el valor de F (x) dado que x = 10
Entonces, lo simple que hacemos aquí es hacer una sustitución de x = 10 Eso sería;
F (10) = 6 (10) ^ 2 - 12 = 600-12 = 588
Find the missing side. Round your answer to the nearest tenth.
Answer:
5.4Step-by-step explanation:
ABC is a right angle triangle.
Therefore,
[tex]cos \: (75) = \frac{ab}{ac} [/tex]
Plug the values
[tex]cos \: (75) = \frac{x}{21} [/tex]
Apply cross product property
[tex]x = 21 \times cos(75)[/tex]
Calculate
[tex]x = 5.435[/tex]
After rounding to the nearest tenth, the answer will be:
[tex]x = 5.4[/tex]
Hope this helps...
Best regards!!
ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
What is the diameter of the circle whose center is at (6, 0) and that passes through the point (2, -3)?
Answer:
10
Step-by-step explanation:
[tex]\left(x-h\right)^{2}+\left(y-k\right)^{2}=r^2[/tex]
[tex]\left(x-6\right)^{2}+\left(y-0\right)^{2}=r^2\\[/tex]
We used (2,-3)
[tex]\left(2-6\right)^{2}+\left(-3-0\right)^{2}=25[/tex]
[tex]r^2=25\\[/tex] , so [tex]r = 5[/tex]
But this one is asking for the diameter, and to find it. It's simply 2r.
2*5 = 10
This is hard for me, can someone please help? Loren solved the equation 10 = StartFraction 19 Over 9 EndFraction (149) + b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). What error did Loren make? She should have solved 10 = StartFraction 9 Over 19 EndFraction (149) + b for b. She should have solved 1 = StartFraction 19 Over 9 EndFraction (130) + b for b. She should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b. She should have solved 130 = StartFraction 9 Over 19 EndFraction (1) + b for b.
Answer:
149=19/9 (10) +b
130=19/9(1)+b
Step-by-step explanation:
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
Hence, The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ6
ax = bx + 1. How is the value of x related to the difference of a and b?
Answer:
x = 1/(a-b)
Step-by-step explanation:
The given equation is ax = bx + 1
Collecting like terms:
ax - bx = 1
Factorizing x out of the equation:
x(a - b) = 1
Dividing both sides by (a - b):
[tex]\frac{x(a - b)}{(a - b)} = \frac{1}{a - b} \\x = \frac{1}{a - b}[/tex]
Therefore, x is related to the difference of a and be by the equation
x = 1/(a-b) where a - b is the difference of a and b
Answer:
x = 1/(a-b)
Step-by-step explanation:
What percent of 24 is 18? 60 is what percent of 48? Write 1.052 as a percent.
Answer:
24 of 18 is 75%
60 of 48 is 80%
1.052 is 105.2%
Step-by-step explanation:
I need help ASAP thank you!!
Answer:
Step-by-step explanation:
Hello!
a)
You have three triangles and you have to find the ratio of the adjacent sides to the angle 23.1º
Remember, considering a specific angle ∠, "the adjacent sides" are those that make contact with the angle and the "opponent side" is the one that is in the opposite side of the angle and the hypotenuse is the longest side of the right triangle, always opposed to the right angle.
First triangle, the adjacent sides, are
JL= 20.17m (hypotenuse)
JK= 18.55m
Ratio: [tex]\frac{JK}{JL}= \frac{18.55}{20.17}= 0.9196= 0.92[/tex]
Second triangle, adjacent sides:
PR= 141.19m (hypotenuse)
PQ= 129.85m
Ratio: [tex]\frac{PQ}{PR} = \frac{129.85}{141.19}= 0.9196= 0.92[/tex]
Third triangle, adjacent sides:
XZ= 181.53m (hypotenuse)
XY= 166.95m
Ratio: [tex]\frac{XY}{XZ} = \frac{166.95}{181.53} = 0.9196= 0.92[/tex]
b)
Using the calculator you have to calculate the trigonometric ratios of 23.1º:
sin(23.1º)= 0.392= 0.39
cos(23.1º)= 0.9198= 0.92
tan(23.1º)= 0.426= 0.43
c)
To calculate the trigonometrical ratios manually you have to do as follows:
Consider the angle A
[tex]sinA= \frac{opposite}{hypotenuse}[/tex]
[tex]cosA= \frac{adjacent}{hypotenuse}[/tex]
[tex]tanA= \frac{opposite}{adjacent}[/tex]
In item a) you calculated the ratios of the adjacent sides of the angle by the hypotenuse, this is equal to the cosine of the given angle.
I hope this helps!
Point K is rotated 90°. The coordinate of the pre-image point K was (2, –6) and its image K’ is at the coordinate (−6, −2). Find the direction of the rotation. The direction of rotation was .
Answer:
Hello! The answer to your question will be below.
Step-by-step explanation:
The answer would be clockwise.
So point k was rotated 90 degrees clockwise.....
Review.....
Question:
Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.
THE DIRECTION OF THE ROTATION WAS CLOCKWISE.
Hope this helps! :)
⭐️Have a wonderful day!⭐️
Answer:
clockwise.
So point k was rotated 90 degrees clockwise.....
Review.....
Question:
Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.
Step-by-step explanation:
Can help me pleaseee I need help
Answer:
B since the correlation between the numbers in x raise at a higher rate than any other chart
Answer the problem below
Answer:
D. 4z^3
Step-by-step explanation:
First, you see what cubed is 64, which is 4, so you know it is either A or D, but it can not be A because it is not z to the power 5 but x to the power of 3
Hope this helps, if you want me to explain more, feel free to ask questions.
Have a good day! :)
Answer:
4 z^3
Step-by-step explanation:
( 64 z^9) ^ 1/3
Rewriting 64 as 4^3
( 4^3 z^9) ^ 1/3
We know that ( ab) ^c = a^c * b^c
4^3 ^ 1/3 z^9 ^ 1/3
We know that a^ b^c = a^ ( b*c)
4^(3 * 1/3) z^ (9 * 1/3)
4 ^ ( 1) z^ ( 3)
4 z^3
An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the shelter has 165 animals.
If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?
A.
x < 25
B.
x < 27
C.
x < 33
D.
x < 35
Answer:
B. x<27
Step-by-step explanation:
300-165=135
135/5=27
Answer:
B. x<27
Step-by-step explanation:
The shelter has 165 animals. The shelter must keep its total occupancy below 300. The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be 165+5x animals. This number must be less than 300
165+5x<3005x<300-1655x<135< 27X<27
Save
Submit
Suppose you deposit $5,000 in a savings account where the interest earned is compounded continuously
at a rate of 12.5%. How many years will it take the balance in the account to triple (round your answer to
the nearest year)?
0 9 years
O 8 years
Answer:
9 years i think
Step-by-step explanation:
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
hope youlike this
stay at home stay safe
keep rocking
Using the equation y = 2x + 5, what would the input need to be for an output of -15? A : -25 B : -35 C : -10 D : -5
Answer: C: -10
Step-by-step explanation:
An output is another word for y. If we set y to -15, we can solve for x, or the input variable.
[tex]-15=2x+5[/tex]
Subtract 5 from both sides of the equation.
[tex]-20=2x\\[/tex]
Divide both sides of the equation by 2.
[tex]-10=x[/tex]
Therefore, x = -10.
Hope this helps!
Answer:
the answer is -25
Step-by-step explanation:
y = 2x + 5
y = 2x(-15) + 5
2 times -15 = -30
-30 + 5 = -25
Hope this helps! :)
A block measure 22 cm by 11 cm by 7 cm.
How many of these blocks will be needed to
build a wall 5 1/2m long, 22 cm thick and 3 1/2
m high?
Answer: 2,500 blocks
Step-by-step explanation:
Hi, to answer this question we have to calculate both volumes:
Volume of a rectangular prism= length x width x height
Volume of the block = 22 x 11 x 7 = 1,694 cm3
Before calculating the volume of the wall, we have to convert the measures in m to cm:
Since:
1m = 100 cm
5 1/2 m x 100 = 550 cm (length)
3 1/2 m x 100 =350 cm (height)
Volume of the wall = 550 x 22 x 350= 4,235,000 cm3
Finally:
Volume of the wall /Volume of the block = 4,235,000 / 1,694 = 2,500 blocks.
Feel free to ask for more if needed or if you did not understand something.
what is this expression in rational exponent form cuberoot√5xy^2
Answer:
[tex]5^{\frac{1}{3}}x^{\frac{1}{3}}y^{\frac{2}{3}}[/tex].
Step-by-step explanation:
The given expression is
[tex]\sqrt[3]{5xy^2}[/tex]
We need to find the expression in rational exponent form.
It can be written as
[tex](5xy^2)^{\frac{1}{3}}[/tex] [tex][\because \sqrt[n]{x}=x^{\frac{1}{n}}][/tex]
[tex]=(5)^{\frac{1}{3}}(x)^{\frac{1}{3}}(y^2)^{\frac{1}{3}}[/tex] [tex][\because (ab)^m=a^mb^m][/tex]
[tex]=5^{\frac{1}{3}}x^{\frac{1}{3}}y^{\frac{2}{3}}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
Therefore, the required expression is [tex]5^{\frac{1}{3}}x^{\frac{1}{3}}y^{\frac{2}{3}}[/tex].
A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?
Answer: 120
Step-by-step explanation:
Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.
The total number of marbles in the bag : 2+2+1+5+6=16
Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is
[tex]\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120[/tex] [[tex]\because\ C(n,1)=n[/tex]]
Hence, the number of sets of four marbles include one of each color other than lavender = 120
A box of 15 cookies costs $ 9 What is the cost for 1 cookie?
Answer:
60 cents or $0.60
Step-by-step explanation:
9.00/15 = 0.6
Answer:
$.60
Step-by-step explanation:
This is just 9 divided by 15 which is $.60
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-*x+9
y=-*x+5
y=-3x – 1ly
y=-3x + 25
Answer:
y = -3x - 11
Step-by-step explanation:
(y - y1)/(x - x1) = (x2 - x1)/(y2 - y1)
(y - 7)/(x + 6) = (-3 + 6)/(6 - 7)
(y - 7)/(x + 6) = 3/-1 = -3
y - 7 = -3(x + 6)
y - 7 = -3x - 18
y = -3x -18 - 7
y = -3x - 11
Suppose that a bacterial culture was known to double every 2 days. After 46 days, it covered the entire surface area in the petri dish. When did it cover half the area? Explain.
Answer:
in day 44 it covered half the area.
Step-by-step explanation:
A bacterial culture doubles every two days, so if today it covers [tex]3 cm^2[/tex], in two days it will cover [tex]6cm^2[/tex]. In other words, if today it covered x space, two days ago it covered half the space [tex](\frac{x}{2})[/tex].
Now, following that reasoning, we have that after 46 days the bacterial culture covered the entire surface area in the Petri dish, therefore, two days ago it covered half the area and we can conclude that in day 44 it covered half the area.
The probability of spinning a 4 on a spinner is 0.125.If you spun 150 times approximately how many times would the spinner land on 4?
Answer:
19
Step-by-step explanation:
To calculate this, all we need to do is 150 * 0.125 ≈ 18.75 which rounds to 19. We round to the nearest integer because you can't land on the 4 18.75 times.
Answer: 19
Step-by-step explanation:
.125 is equal to 1/8, so it will be roughly 1/8 of the 150 times so we can multiply
150(.125)=18.75, which rounded up, or normally becomes 19
In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer: 16,384
Step-by-step explanation:
The seven marbles have different colours, so we can differentiate them.
Now, suppose that for each marble we have a selection, where the selection is in which jar we put it.
For the first marble, we have 4 options ( we have 4 jars)
For the second marble, we have 4 options.
Same for the third, for the fourth, etc.
Now, the total number of combinations is equal to the product of the number of options for each selection.
We have 7 selections and 4 options for each selection, then the total number of combinations is:
C = 4^7 = 16,384
Answer:
the answer is 16384
Step-by-step explanation:
have a nice day.
Factor the equation.
X2-15x+50=0
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Well to factor X^2-15x+50
we need to find 2 numbers that multiply to get 50 and add to get -15.
-5 * -10 = 50
-5 + -10
x*x = x^2
Factored (x - 10)(x - 5)
Hope this helps :)
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Step 1- Find 2 numbers that multiply to be 50.
10 × 5
-10 × -5
25 × 2
-25 × -2
All these multiply to get 50.
But the numbers must also add up to be -15.
Step 2- Find the 2 numbers that also add up to be -15.
10 + 5 = 15
-10 + -5 = -15
25 + 2 = 27
-25 + -2 = -27
The correct equation would be - 10 + -5
The 2 number you would use when you factor would be -10 and -5
Step 3- Write the equation
You can write the equation as (x - 10)(x - 5)
Or you can also write it as (x - 5)(x - 10)
which of the following is equivalent to [ (x^ 2 y^ 3 )^ -2/ (x^ 6 y^ 3 z)^3]? worth 60 points!
Answer:
[tex]\dfrac{1}{x^{48}y^{36}z^{6}}[/tex]
Step-by-step explanation:
[tex] (\dfrac{(x^2y^3)^{-2}}{(x^6y^3z)^{2}})^3 = [/tex]
[tex] = (\dfrac{1}{(x^6y^3z)^{2}(x^2y^3)^{2}})^3 [/tex]
[tex] = (\dfrac{1}{x^{12}y^6z^{2}x^4y^6})^3 [/tex]
[tex]= (\dfrac{1}{x^{16}y^{12}z^{2}})^3[/tex]
[tex]= \dfrac{1}{x^{48}y^{36}z^{6}}[/tex]
Answer:
[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]
Step-by-step explanation:
[tex]\displaystyle[\frac{(x^2 y^3)^{-2}}{(x^6 y^3 z)^2 } ]^3[/tex]
[tex]\displaystyle \frac{(x^2 y^3)^{-6}}{(x^6 y^3 z)^6 }[/tex]
[tex]\displaystyle \frac{(x^{-12} y^{-18})}{(x^{36} y^{18}z^6 ) }[/tex]
[tex]\displaystyle \frac{x^{-48} y^{-36}}{z^6 }[/tex]
[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]