Answer:
y = 3x + 1
Step-by-step explanation:
y = 3x + b
-5 = 3(-2) + b
-5 = -6 + b
1 = b
It takes Jack 11 hours to pick 40 bushels of apples alone. Jill can pick 40 bushels of apples in 9 hours. How long will it take Jack and Jill to pick 40 bushels of apples together. Round to the nearest hour.
Answer:
5 hours
Step-by-step explanation:
Jack 40/11 = 3.64 bushels per hour
Jill 40/9 = 4.44 bushels per hour
together they pick 3.64 + 4.44 = 8.08 bushels per hour
40/8.08 = 4.95 hours
What is the length of side x in a 30-60-90 triangle where one side is the square root of 3 and the other side is unknown?
Answer:
The length of side x in a 30-60-90 triangle is 2√3.
Step-by-step explanation:
The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:
θ: is one angle of the right triangle = 30°
α: is the other angle of the right triangle = 60°
a: is one side of the right triangle = √3
b: is the other side of the right triangle =?
x: is the hypotenuse of the right triangle =?
The length of the hypotenuse can be found by Pitagoras:
[tex] x^{2} = a^{2} + b^{2} [/tex] (1)
So, we need to find the side "b". We can calculate it with the given angles.
From the side "a" we have:
[tex] cos(\alpha) = \frac{a}{x} [/tex]
[tex] cos(60) = \frac{\sqrt{3}}{x} [/tex] (2)
From the side "b":
[tex] sin(\alpha) = \frac{b}{x} [/tex]
[tex] sin(60) = \frac{b}{x} [/tex] (3)
Now, we can calculate "b" by dividing equation (3) by equation (2).
[tex] tan(60) = \frac{\frac{b}{x}}{\frac{\sqrt{3}}{x}} [/tex]
[tex] b = tan(60)*\sqrt{3} = 3 [/tex]
Finally, we can find the length of the hypotenuse with equation (1):
[tex] x = \sqrt{a^{2} + b^{2}} = \sqrt{(\sqrt{3})^{2} + (3)^{2}} = 2\sqrt{3} [/tex]
Therefore, the length of side x in a 30-60-90 triangle is 2√3.
I hope it helps you!
Which is the best approximation of PX
Answer:
We now want to find the best approximation to a given function. This fundamental problem in Approximation Theory can be stated in very general terms. Let V be a Normed Linear Space and W a finite-dimensional subspace of V , then for a given v ∈ V , find w∗∈ W such that kv −w∗k ≤ kv −wk, for all w ∈ W.
Step-by-step explanation:
simplify 3/x-1 + 1/x-2
Answer:
4-3x over x or 4-3x/x
I'm not sure. but I hope it can help you:))
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
yes, this quadrilateral is a parallelogram.
Step-by-step explanation:
Above quadrilateral ,
opposite angle 70=70
and there is also 180-70=110 (linear pair)
so, others opposite angle 110=110
This quadrilateral have opposite sides equal
so, this is parallelogram.
Due tonight.. *no links*
Answer:
angle 5 = 149°
angle 7 = 149°
Find the rate of change
Answer:
25
Step-by-step explanation:
rate of change =change of distance/ change of time
so if you look at the chart you can see these points: (2,50) and (6,150)
change of distance would be 150-50/ change of time which would be 6-2 which equals 100/4 which is 25, the rate of change.
Each Serving of pasta is 1/2 pound. Drag to correct equation to each amount to show how many 1/2 pound serving Can be made
Step-by-step explanation:
4 pounds is 4÷1=8
2
5 pounds is 5÷1=10
2
Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle for 12,13,14,16
Answer:
12=obtuse
13=right
14=not a triangle
16=acute
Step-by-step explanation:
Louis will spend $755.00 on a new kitchen sink. He will use his credit card to withdraw
$800 cash to pay for the sink. The credit card company charges 4% interest on the
borrowed amount. How much will Louis owe?
$332
Answer:
332$?
Step-by-step explanation:
25% of 1375???????????????????????
Step-by-step explanation:
hope it is helpful to you
Answer: 343.75
Step-by-step explanation:
There are multiple ways to do this
1) Use decimals
25% is equal to 0.25
To find 25% of 1375, multiply 0.25x1375.
0.25x1375
=343.75
Or you can use fractions!
25%=0.25
0.25=1/4
Divide 1375 by 4
=343.75
25% of 1375 is equal to 343.75
Vickie and Amy made $23.10 together selling cookies. Vickie made twice as much as Amy. How much did Vickie make? PLSS Help! giving brainliest!!
Answer:
amy made 5.775 while vickie made 17.325
Step-by-step explanation:
i dunno
During the first two weeks at his new job Damian earned a total of $500 he earned x dollars during the first week during the second week he earned 4 times as much as he did the first week. How much did Damian earn during the first week
Answer:
$100
Step-by-step explanation:
x + 4x = 500
5x = 500
x = 100
solve the following
x^2-2x-24=0
X^2-11+18=0
Answer:
x=-11
Step-by-step explanation:
Point c has the coordinate -7 and d has the coordinate 6 on a number line. What is the distance between c and d
Answer:
7
Step-by-step explanation:
Allen went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Antonio went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one jumbo popcorn and one chocolate chip cookie cost
Answer:
cookie=0.5, popcorn=4
Step-by-step explanation:
1x+2y=5
1x+4y=6
cookie cost 0.5
popcorn cost 4
10k^2 - 10k + 2 = -k
Answer:
k=0 or k=9/10
Step-by-step explanation:
10k^2 - 10k- (-k) = - k- (-k)
10k^2-9k=0
k(10k-9)=0
k=0 or 10k-9=0
k=0 or k=9/10
Answer:k=(1/2,2/5)
Step-by-step explanation:
Plssss help. High school mathematics
PLEAS HELP (no links or reported) I will give brainleast!
Answer:
its 84
area = perimeter of base x height + 2(area of base)
the rest you know what to do -_-
Step-by-step explanation:
Can you please help!!
rewrite the radical equation
Answer:
12x³y⁴z³[tex]\sqrt{z}[/tex]Step-by-step explanation:
[tex]\sqrt{144x^6y^8z^7}[/tex] =[tex]\sqrt{12^2(x^3)^2(y^4)^2(z^3)^2z}[/tex] =12x³y⁴z³[tex]\sqrt{z}[/tex]Answer:
solution given:
[tex] \sqrt{144 {x}^{6} {y}^{8} {z}^{7} } = \sqrt{(12 {)}^{2}( {x}^{6} ) {y}^{8} ( { {z}^{1} })^{6} } = 12 {x}^{3} {y}^{4} {z}^{3} \sqrt{z} [/tex]
is your answer.
find the length of the darkened arc.
Answer:
25.13 (to 2 d.p)
Step-by-step explanation:
Use the formula:
Length of arc = (angle/360) X 2πr
where: angle = 180 and r = 16÷2 = 8
Find the missing angle measures. Just type the number
Answer:
1. 142
2. 38
3. 142
5. 142
6. 38
7. 142
8. 38
Step-by-step explanation:
Angles across from another angle in an x have the same value
A line has an angle of 180º so the angle on the other side of a split line is whatever angle would make it add up to 180
180º - 38º = 142º
be smart and help me please i can’t fail again i will give branliest
Answer:
28%
Step-by-step explanation:
12+34+7=2856
Then, 2856/100 to get the percentage.
Reasoning How could you write, as a percent
without dividing?
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answer:
x ≤ 1/3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
distribute the 5, combine the x, add 10 to -8 to get 2 and finally 6x < 2Solve for b pls. Due by 2:45.....
Answer:
b = 12
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
b² + 5² = 13²
b² + 25 = 169 ( subtract 25 from both sides )
b² = 144 ( take the square root of both sides )
b = [tex]\sqrt{144}[/tex] = 12
1
1. Triangle ABC was dilated with the origin as the center of
dilation to create
아아하하
2
1
Which rule best represents the dilation that was applied to
Triangle ABC to create 4BC'?
A (Xy) - (x + 2 y + 2) C. (x, y) - (2x2)
B. (x, y) = (x-2y + 2) D. (x, y) - (x %
Y)
ОА
OD
Answer:
f=A%27(-0.25%2C0.75)%5C%5C%5C%5CB%27(1.75%2C-0.25)%5C%5C%5C%5CC%27(-1%2C-0.25)
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case you know that the triangle ABC was dilated by this scale factor:
With the origin as the center of dilation.
Since:
It is a Reduction.
You can identify that the vertices of the triangle ABC are:
So you need to multiply the coordinates of each vertex of the triangle ABC by , in order to get the coordinates of the triangle A'B'C. Then, you get:
I need a answer fast pls help
Answer:
2.5
Step-by-step explanation:
The radius is any line from the middle of the circle to the end of the circle. The diameter is a chord which is a line going from any end of the circle to the other end but the diameter crosses though the point which is in the middle.
So, you split the diameter in half. 5/2 = 2.5
Will give u Brainly
Answer:
Option B
Step-by-step explanation:
Set 1:
med: 76, Range: 50-65= 15IQR: 77-73= 4
find the median, range, and IQRfor each data set.
Set 2:
med: 60, Range: 68-55= 13,IQR: 63-59= 4
76- 60 =16
find the difference of the medians 16 is 4 times 4
so the difference of the medians is 4 times the IQR
----------------------------
hope it helps...
have a great day!!
