Answer:
3.87
Step-by-step explanation:
? = a
b = 1
c = 4
a² + b² = c²
a² + 1² = 4²
a² + 1 = 16
a² = 15
a = 3.8729
Rounded to hundredths: 3.87
Zach puts $1000 in a savings account earning 5% simple interest for five years how much interest has he earned at the end of the five years
Answer:
$250
Step-by-step explanation:
The formula for simple interest is I = PRT, where I= interest earned or paid, P = principal deposited or borrowed, R = interest rate as a decimal, and T = time in years.
I = PRT
I = (1000)(0.05)(5)
I = 250
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
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If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]
A truck has a trailer that has a length of 20 feet, a width of 8 feet, and a height of 12 feet. What is the volume of the trailer?
Answer:
1920
Step-by-step explanation:
20*8*12=1920
Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)
Answer:
B) (-6,5)
Step-by-step explanation:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
Follow the steps for dividing decimals. Then, round to two decimal places (hundredths).
1.476)6.380
Answer:
4.32
Step-by-step explanation:
The steps required are:
4.322
1.476 )6.380
5.904
____
0.476
0.4763
0.4428
_____
0.0335
0.03358
0.02952
_____
0.00406
0.004060
0.002952
_____
0.0011080
Therefore, the answer is 4.32.
Giving the brainliesttt
What is the range when the domain is
A) -8
B) -4
C) 4
D) 0
E) 10
Solve for the missing side of this right triangle.
24 mi
16 mi.
Answer:
384
Step-by-step explanation:
I just went to my calculator and did 24×16 and I got 384
why do we need to know the different abbreviation of measurements and its equivalent?
Answer:
See explanation.
Step-by-step explanation:
You will need to know the abbreviations of measurements because when pertaining to the real world, an you will see things as so "This fence is about 15ft tall." or "Jacobb is 72in tall." If you do not understand the abbreviations you will not understand what anyone is ever talking about when it comes to measurements. As for knowing how to convert measures to be equivalent, that is important because some measurements are bigger than others. It doesn't make since to say 12 inches, when you can just say 1 foot.
PLEASE HELP WITH ALGEBRA
Answer:
log 7
Step-by-step explanation:
[tex]log (a)+log6=log(ab)\\\\[/tex]
[tex]log(c)-log(d)=log(c/d)[/tex]
---------------------------------
hope it helps...
have a great day!!
Solve –9.4 Greater-than-or-equal-to 1.7x + 4.2.
Answer:
x≤-8
Step-by-step explanation:
Answer:
x ≤ -8
Step-by-step explanation:
Good Luck!
There are 58 students in a classroom with 7
tables. If 8 students can sit at a table, how
many students cannot sit down at tables?
8x7=56, so 56 students can sit at a table, 58-56=2 students without a table.
Your answer would be 2.
Answer:
2 students cannot sit down at tables.
Step-by-step explanation:
Since there are a total of 58 students and only 7 tables and each table can only fit 8 students, you'll need to calculate how many students can sit at 7 tables first:
7(8) = 56 So, with 8 students sitting at all 7 tables, there are 56 students that can sit at a table.
To find how many students can't sit at a table you'll have to subtract 56 from 58,
58-56 = 2 So, 2 students will not be able to sit down at tables.
If anyone could help I would be so happy!
Answer: well i cant help... so dont be happy! :)
ratio of 25cm to 40cm
5:8
is the ratio .he she and shd
Simplify : -sqrt(9+y)^2 if y<-10
Answer:
−y−9
Step-by-step explanation:
Answer:
9+y is the correct answer
Step-by-step explanation:
The net of a triangular prism is shown
below.
8.5 cm
10 cm
10 cm
10 cm
What is the total surface area of the prism?
A 470 cm?
C 390.5 cm?
B 385 cm
D 342.5 cm
Answer:
i think a.... sorry if im wrong
Step-by-step explanation:
Mrs. Garcia wants to paint her patio floor. She needs to determine the area so she will know how much paint to buy. What is the area of the patio floor shown?
Answer: 375 ft
Step-by-step explanation:
break the shape into three parts in order to find the area of each of them look at the picture. I broke the parts into numbers 1 ,2 ,and 3. You can take the area for number one bye using the length given which is 20 and the width which is 5. Multiply the length times width and you'll receive the area. Box 2 : subtract 5 - 15 in order to get the width which is 10 and use the lengths given at the top which is 20. multiply them in order to get the area. box 3 : in order to get the width you can subtract 30 by 20 + 5 which leaves you with 5, which is the width. The length is already given to you on the side which is 15. Multiply 5 by 15 in order to get the area.once you get all of the areas for the boxes which should be 100, 200, 75. add them all up to obtain the area of the shape which should equal 375 ft.
solve triangles suing the law of sines
Step-by-step explanation:
In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:
The angles always add to 180°: A + B + C = 180° ...
Law of Sines (the Sine Rule): When there is an angle opposite a side, this equation comes to the rescue. ...
Law of Cosines (the Cosine Rule):
plz help for a brainly
Answer:
364yd^2
Step-by-step explanation:
LxWxH
Answer:
its 364
Step-by-step explanation:
you do length times width times height
PLEASE HELP ANWSER ASAP PLEASE ILL GIVE BRAINLIEST!!!!
Answer:
3.5944
Step-by-step explanation:
first the fraction is mixed and you need to change the fraction to proper or improper fraction
the denominator 4 is multiply 16
16×4=64
then the numerator 3 is add to 64
64+3=67
the fraction will be
=====67/4
the denominator is not change from the first part
》》do the same thing by the other mixed fraction
the final answer would be 3.5944
first calculate 67÷4=16.75
the second calculate 14÷3=4.66
in the second part i get 14/3 that means i change the mixed fraction to the normal fraction
calculate 16.75÷4.66=3.5944
600% of what number is 4,200
Answer: Trust me pleas, 14.29%.
Step-by-step explanation: On my dead moms grave.
Answer:
700
Step-by-step explanation:
600% of 700 is equivalent to multiplying them:
600% × 700 = ?
600% × 700 =
(600 ÷ 100) × 700 =
(600 × 700) ÷ 100 =
420,000 ÷ 100 =
4,200
The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?
I need help on Section 5- Topic 10 Algebra Nation, Algebra 1 Practice book. If anyone could give me answers to the questions, I will be extremely thankful!
Step-by-step explanation:
Just post a pic of the page
Find $m\angle1$ and $m\angle2$ .
Answer:
m<1 = 125°
m<2 = 55°
Step-by-step explanation:
Okay, so we're dealing with alternate interior angles and all that sorta stuff, so I'll try to explain it best I can, if I'm too confusing let me know, let's go:
So the angle labeled 125° and angle 1 are alternate interior angles, so they're equal (yes, we're ignoring the fact that that might not me right because the other line isn't straight, I don't have another solution okay) anyways, so that means that:
1 = 125°
Now we know what 1 and 2 are on the same plane or axis or something like that, so basically, 1 and 2 HAVE TO add up to 180°, so that means that:
125 + x = 180
And now we just have to do the inverse operations thing:
180 - 125 = 55
So, m<1 = 125° and m<2 = 55°
tell me if this is wrong so I can fix it
hope this helps:)
In the box below, enter the value that is missing from the table.
170 is the answer
Given ,
520 = 0
.°.
420 = 520-100
320 = 520-200
?= 520-350 = 1700 = 520-520
Mark the relation
f(0)=520f(100)=520-100=420f(200)=520-200=320Similarly
f(350)=520-350=170The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.
Which graph represents the inequality?
95 96 97 98 99 100 101 102 103 104 105
O,
95 96 97 98 99 100 101 102103104105
o
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105
Answer:
sorry I'm late but it's b I'm on unit test on edge
Answer: it is b
Step-by-step explanation:
Can somebody tell me which one of these options do I put? (I need to put two)
Answer:
B D and E
Step-by-step explanation:
Expressions do not contain equal signs
Which is the equation of the given line?
O x = 4
ooo
O
y = 2x
6
4.
(2,4)
2
O y = 2
X
10-8-6
4
1
4
6
22
O x = 2
8 10
-4
-6
-8
10
(2, -7)
1
2
3
Answer:
x=2
Step-by-step explanation:
The solution is, The equation the line is, x =2
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 to points (2,4) and, (2,-7)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x-2)=(-7-4)/(2-2)
=>0 = x-2
=>x =2
Hence, the required equation is, x =2
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Which rules define the function graphed below?
eOf
y
4
0.3)
3
(3,2)
1
2
3
4
В
7
x
2
3
Answer: y= 2x+3; y=-1/3x+3
Step-by-step explanation:
First option on edge
y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
The correct option is 1.
What is a graph?Graph, a visual depiction of statistical information or a relationship between variables that serves a purpose. Graphs serve a predictive purpose because they have the advantage of displaying broad trends in the quantitative behavior of data. But, as just approximations, they may be imprecise and occasionally deceptive. The majority of graphs include two axes: a horizontal axis that represents a set of independent variables and a vertical axis that represents a set of dependent variables. A broken-line graph, in which time is typically the independent variable, is the most typical type of graph.
The graph of the functions and the points on the line is given.
The points for 1st function = (0, 3)
The points for 2nd function = (3, 2)
The given function:
y = 2x + 3
Substituting (0, 3)
3 = 2(0) + 3
3 = 3
Similarly, for y = -(1/3)x + 3
Substituting (3, 2)
2 = -(3/3) + 3
2 = -1 + 3
2 = 2
Hence, y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
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Describe and correct the error in finding the distance between the points (−3 −2) and (7 4)
Answer:
[tex]2\sqrt{34}[/tex] ≈ 11.6619
Step-by-step explanation:
Answer: 6 units Step-by-step explanation: Use the distance formula, [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]. Plug the x and y values from the given points into the distance formula:
[tex]\sqrt{(7-[-3])^{2}+(4-[-2])^{2}}[/tex]
Simplify:
[tex]2\sqrt{34}[/tex] ≈ 11.6619
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The distance between two coordinate points is 11.66 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
The given coordinate points are (-3, -2) and (7, 4)
Substitute (x₁, y₁) =(-3, -2) and (x₂, y₂)=(7, 4) in distance formula, we get
Distance = √[(7+3)²+(4+2)²]
= √(100+36)
= √136
= 11.66 units
Therefore, the distance between two coordinate points is 11.66 units.
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