Answer:
option 4
Step-by-step explanation:
[tex]perpendicular means = slope_1 \times sope_2 = -1\\[/tex]
[tex]-2 \times slope_2 = -1\\\\slope_2 = \frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciproclas. That means their product equals -1.
If you know the slope of a line, to find the slope of a perpendicular line, flip the slope and change the sign.
Given line: slope = -2
-2 is the same as -2/1
Flip it: -1/2
Change the sign: 1/2
Answer: 1/2
Maggie wants to have a 94 average in science class. Her last 5 test grades were 95, 98, 89, 92, and 94.
What score does Maggie need to get on her last science test in order to have a 94 as her final average?
A - 94
B - 95
C - 96
D - 97
Answer:
C. 96
Step-by-step explanation:
95 + 98 + 89 + 92 + 94 + 96 = 564
564/6 = 94
Answer:
C.) 96
Step-by-step explanation:
First of all, to find the average you need to add up the values given then divide the total by the number of values. Since we already have some of the values given which are 95, 98, 89, 92, and 94, we're going to add them up. Once you add them, you should get a total of 468. Now, we add another value that is in the answer choices because we're figuring out what Maggie needs to score on her science test to get a 94 as her final. We then would add 94 to the total which should give us 562. Next, we divide 562 by however many values we have which is 6. Once the total is divided by 6, the quotient should be 93.666.... As you can see, it doesn't give us 94, thus making A not the correct answer. You will continue to do this with the other answer choice questions until you get 94.
Here is a less wordy way to find the answer:
1.) Add up the values given
2.) Pick an answer choice and add the value to the total
3.) Divide by however many values are there
4.) Continue this until you find the correct answer
95 + 98 + 89 + 92 + 94 = 468
Pick an answer choice
468 + 96 = 564
Count the total values, including the answer choice
564 ÷ 6 = 94
The image below shows F with perpendicular tangent lines at points A and B.
Step-by-step explanation:
a) A & B are tangent points and that makes angle AFB = 90°
b) Since line DB is a diameter, that makes arcADB a semicircular arc.
c) We know that A & B are tangent points which makes the figure AFBC a square.
Amy and Myra each walked from their houses to the mall. Amy walked one half a mile and Myra walked two-thirds of a mile. How far did the girls walk all together?
in fractions pls help me
Answer:
its c
Step-by-step explanation:
just add 1/2 +2/3 = 1 1/6
Total distance of the girls walk all together is 7/6 of a mile.
Here,
Given that;
Amy and Myra each walked from their houses to the mall.
Amy walked one half a mile and Myra walked two-thirds of a mile.
We have to find the total distance of the girls walk together.
What is Distance?
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
Now,
Amy walked one half a mile.
⇒ 1/2
Myra walked two-thirds of a mile.
⇒ 2/3
Hence,
Total distance of the girls when they walk together = [tex]\frac{1}{2} + \frac{2}{3}[/tex]
= [tex]\frac{3+4}{6}[/tex]
= [tex]\frac{7}{6}[/tex]
So, Total distance of the girls walk all together is 7/6 of a mile.
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Please help with this geometry question
Answer:
5894.82 ft^3
Step-by-step explanation:
We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.
Please help i will give decent points if corrected
Answer:
5.656854
Step-by-step explanation:
So technically, the distance is the hypotenus of the right triangle that forms.
That means we find the square root of 32, or the hypotenuse
[tex]\sqrt{32} = 5.656854[/tex]
Look at picture below for what I mean.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
show all work. Write the equation in point slope form (5, -9); m = 6
In right triangle ABC, a = 7, b = 9 and
Answer: the answer is 63,ABC
Step-by-step explanation:
The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference
Answer:
the common difference is 6.
Step-by-step explanation:
Given;
first term of an AP, a = -7
let the common difference = d
The third term is written as;
T₃ = a + 2d
The eight term is written as;
T₈ = a + 7d
The ratio of the eight term to third term = 7:1
[tex]\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6[/tex]
Therefore, the common difference is 6.
Sabiendo que 16x10=160¿como resolverías, sin hacer la cuenta escrita los siguientes calculos?A_16x20=
Answer:
A_16x20=320
Step-by-step explanation:
Esto se puede hacer fácilmente de 2 formas.
1) 20 se puede dividir en un múltiplo de 10 y luego multiplicar
16 x 20 =16 x 10 x 2 = 160 x 2 = 320
2) Uso de cero.
Cualquier cosa multiplicada por cero da un cero y luego multiplicar el otro número da el resultado.
16 x 20 = (16 x 2) * 10 = (32) 10 = 320
Así que separamos el cero añadiéndole un 1, lo que lo convierte en 10 y obtenemos el mismo resultado.
This can be easily done in 2 ways .
1) 20 can be broken into a multiple of 10 and then multiplied
16 x 20 =16 x10 x 2=160x 2= 320
2) Use of zero.
Anything multiplied with zero gives a zero and then multiplying the other number gives the result.
16 x 20 = (16x 2) *10= (32)10= 320
So we separated the zero by adding a 1 to it thus making it 10 and we get the same result.
A billboard is 6 meters long . One centimeter is approximately 0 .39 inch . About how long is the billboard in inches? Round to the nearest whole inch. In.
Answer: 234 inches
Step-by-step explanation:
The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.
To convert the length to inches therefore, convert the length from meters to centimeters first:
1 meter = 100 cm
6 meters would therefore be:
= 6 * 100
= 600 cm
1 cm = 0.39 inches so 600 cm is:
= 600 * 0.39
= 234 inches
There exist two complex numbers $c$, say $c_1$ and $c_2$, so that $3 + 2i$, $6 + i$, and $c$ form the vertices of an equilateral triangle. Find the product $c_1 c_2$ in rectangular form.
The product $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{pi}{3})}\$.[/tex]
How to find the product $c_1 c_2$ in rectangular formLet $c_1$ and $c_2$ be the two complex numbers that frame an even triangle with $3+2i$ and $6+i$.
The dispose of between two complex numbers $a$ and $b$ is given by $|b-a|$. Since the triangle is even, the wipe out someplace in the scope of $3+2i$ and $6+i$ ought to be equivalent to the underlying venture with to the kill among $3+2i$ and $c$, conjointly make back the underlying speculation with to the take out among $6+i$ and $c$.
So, we have the following conditions:
$|6 + i - (3 + 2i)| = |c - (3 + 2i)|$
$|6 + i - (3 + 2i)| = |c - (6 + i)|$
Tackling these conditions, we get:
$|3 - i| = |c - (3 + 2i)|$
$|3 - i| = |c - 6 - i|$
Presently, let's discover the esteem of $c$:
$|c - (3 + 2i)| = |3 - i|$
[tex]\$|c - (3 + 2i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]
So, [tex]\$c - (3 + 2i) = \pm \sqrt{10} e^{i\theta}\$[/tex], where [tex]\$\theta\$[/tex] is the point between the positive genuine hub and the line interfacing $3+2i$ and $c$?
Presently, let's discover the esteem of $c$ utilizing the moment condition:
$|c - (6 + i)| = |3 - i|$
[tex]\$|c - (6 + i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]
So, [tex]\$c - (6 + i) = \pm \sqrt{10} e^{i\theta'}\$[/tex], where [tex]\$\theta'\$[/tex] is the point between the positive genuine hub and the line interfacing $6+i$ and $c$?
Since the triangle is equilateral, $theta$ [tex]\$\theta'\$[/tex] must vary by [tex]\$\pm[/tex] [tex]\frac{\pi}{3}\$.[/tex]
Presently, let's discover the item $c_1 c_2$:
$c_1 c_2 = (c - (3 + 2i))(c - (6 + i))$
$c_1 c_2 =[tex](\pm \sqrt{10} e^{i\theta})(\pm \sqrt{10} e^{i(\theta \pm \frac{\pi}{3})})\$[/tex]
$c_1 c_2 = [tex]10 e^{i\theta} e^{i(\theta \pm \frac{\pi}{3})}\$[/tex]
$c_1 c_2 = [tex]10 e^{i(2\theta \pm \frac{\pi}{3})}\$[/tex]
So, the item $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{\pi}{3})}\$.[/tex]
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Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?
Answer:
$-280
Step-by-step explanation:
Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.
total change in balance = 20 x 14 = 280
because it is a withdrawal, a negative sign would be attached
Answer: -280
Step-by-step explanation:
Find the volume of the pyramid
volume
18 cm
10 cm
10 cm
options
1,800 cm
900 cm
600 cm
750 cm
[tex]_____________________________________[/tex]
ANSWER:V = 1,800 cmSOLUTION:V = l × w × hV = 18 × 10 × 10[tex]\large\boxed{\tt{\green{V = 1,800}}}[/tex][tex]_____________________________________[/tex]
----------❥︎XxYunaKoharuChanxXCalculate the volume of the composite solid.
Answer:
about 33.52 in^3
Step-by-step explanation:
Volume of composite figure = volume of cone + volume of hemisphere
Volume of a cone = 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 2^2 x 4 = 16.74 inches^3
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 3.14
r = radius
2/3 x 3.14 x 2^3 = 16.74 inches^3
16.74 inches^3 + 16.74 inches^3 = 33.49
Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure will consist of four square-based, two-inch thick slabs of clay, with each slab two inches less wide than the one beneath it. Fernando has one-half of a container of clay left after forming the first two slabs. Does he have enough clay to finish the structure?
Answer:
Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.
Step-by-step explanation:
Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.
Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.
We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.
So, 3V/2 = 2w² + 2(w - 2)²
= 2w² + 2(w² - 4w + 4)
= 2w² + 2w² - 8w + 8
= 4w² - 8w + 8
= 4(w² - 2w + 2) (1)
Also we want to know if V/2 is equal to the volume of the two top-most slabs.
So, V/2 = 2(w - 4)² + 2(w - 6)²
= 2(w² - 8w + 16) + 2(w² - 12w + 36)
= 2w² - 16w + 32 + 2w² - 24w + 72
= 4w² - 40w + 104
= 4(w² - 10w + 26)
From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)
Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.
what is the determinant of matrix |-8|?
Given:
The matrix is [tex][-8][/tex].
To find:
The determinant of given matrix, i.e, [tex]|-8|[/tex].
Solution:
If a matrix is A of order [tex]1\times 1[/tex], then the value of the determinant of that matrix is equal to the element of that matrix.
For example: Let A be the matrix of order [tex]1\times 1[/tex].
[tex]A=[a][/tex]
Then,
[tex]|A|=a[/tex]
The given matrix is [tex][-8][/tex]. So, the determinant of given matrix, i.e, [tex]|-8|[/tex], is
[tex]|-8|=-8[/tex]
Therefore, the value of determinant of given matrix is -8.
Courtney would like to buy a new phone for $680. So far, she has saved $240. If she earns $8 an hour
babysitting, how many hours will she need to work to be able to buy the phone?
Answer:
she will need to work for 55 hours to buy the phone
Step-by-step explanation:
680 - 240 = 440
that's how much more she needs
449 ÷ 8 = 55
and that's the answer
55
hope that helped
Answer:
55 hours
Step-by-step explanation:
Well first we need to set up the equation
We know she needs 680$ to buy the phone so the equation must be equal to 240
She has 240 and earns 8 dollars per hr so were finding out how many hours of work is needed to be able to buy the phone
Represent the number of hours worked by "x"
Set the equation up as
240 + 8x = 680
Add -240 to both sides of the equation to make 240 be 0 and 680 be 440
8x = 440
divide both sides of equation by 8 to get what x equals
x=55
She needs to work 55 hours
help me pls i dont understand
Step-by-step explanation:
Well "Sum" im sure is adding, so it would be close to 3 + n
Answer:
c
Step-by-step explanation:
write the number into 3 significant figures 7.00956
=================================================
Explanation:
Use a marker to highlight the first three digits on the left. That would be the 7, 0 and 0.
The digit just to the right of that second "0" is the digit "9". Since this 9 is larger than 5, we'll bump the 7.00 up to 7.01
The 0 in 7.01 is significant because it's between two nonzero values. So we have three sig figs here.
please help me with this, very important kuhdfeyjehfskjb 20 points
Formula for volume of a rectangular prism
Volume = length * width * height
Volume = 4 * 2 * 3
Volume = 24 cubic cm
I hope this helps :)
What will be the new position of the given point (-2,7)after translation of 3 units up and 1 units left?
Answer:( -3, 10)
Step-by-step explanation:
need help!! will give brainliest 2 whoever can give the right answer.
Answer:
Step-by-step explanation:
i dont know
I need help plz. Lollzzz
Answer:
[tex]5 \sqrt{3i} [/tex]
Step-by-step explanation:
[tex] \sqrt{ - 108} - \sqrt{ - 3} [/tex]
[tex] \sqrt{ - 1} (108) - \sqrt{ - 3} [/tex]
[tex]i \times \sqrt{108} - \sqrt{ - 3} [/tex]
[tex]i(6 \sqrt{3} ) - \sqrt{ - 3} [/tex]
[tex]6i \sqrt{3} - \sqrt{ - 3} [/tex]
[tex]6i \sqrt{3} - i \sqrt{3} [/tex]
[tex]5 \sqrt{3i} [/tex]
Hope it is helpful....help meeee asap tqqq
the number of yellow ball is 18
Brainliest for correct answer!!
Answer:
Step-by-step explanation:
Use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] For us that will look like this:
[tex]d=\sqrt{(6-(-3))^2+(-2-4)^2}[/tex] which simplifies to
[tex]d=\sqrt{(9)^2+(-6)^2}[/tex] and a bit more to
[tex]d=\sqrt{81+36}[/tex] so
[tex]d=\sqrt{117}[/tex]
Find missing measure
Answer:
x = 40°
Step-by-step explanation:
using the angle sum theorem...
180 - 90 - 91 - 51 = 40
Answer:
Step-by-step explanation:
51+x+90+91=360(sum of four angles is always 360 degree)
232+x=360
x=360-232
x=128
(20 POINTS)which equation best matches the model of the sum of the fraction
I believe the correct answer is:
4/4 + 3/4 + 2/4 = 9/4 (The one in the bottom right corner)
I hope this helps! :D
Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?
Answer:
Yes, she will have $1.96 left
Step-by-step explanation:
Initial cost : $60
Discount : 25%=0.25
Calculating discount : 60 * 0.25 = 15
Calculating cost after discount : 60-15 = 45
Sales tax : 6.75%=0.0675
Calculating sales tax : 45 * 0.0675 = 3.0375≈$3.04
Calculating final cost : 45+ 3.04 = $48.04
Can she buy the printer : 50 - 48.04= $1.96
Answer : yes
Yes, she has enough money to buy the printer. Then the balance of her account will be $ 1.9625.
What is percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
Grace needs to buy a new printer.
The printer she wants has a price tag of $60.
She has a 25% off coupon and $50 in her bank account.
If she must pay 6.75% sales tax.
Then the price of the printer after the discount of 25% and the sales tax of 6.75% will be
Cost = $ 60 x (1 - 0.25) x 1.0675
Cost = $ 60 x 0.75 x 1.0675
Cost = $ 48.0375
Yes, she has enough money to buy the printer.
Then the balance of her account will be
Balance = $ 50 - $ 48.0375
Balance = $ 1.9625
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Find the circumference of this circle
using 3 for T.
C ~ ?
[?]
36
C = ad
helppp
Answer:
C = pi d
C = 3 × 36
C = 108
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18) What value of x makes R(x) = 10
5 points
18
16
R(x)
12
10
D(x)
8-
8
Please help I don’t have much time
========================================================
Explanation:
Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.
See the diagram below.
The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.