Answer:
4
Step-by-step explanation:
average = mean of the data
(3 +5)/2
=8/2
=4
Answer:
8
Step-by-step explanation:
f(x2) -f(x1)
---------------
x2-x1
x2 = -3 and x1 = -5
which kind of triangle is shown.
1. obtuse isosceles
2. acute equilateral
3. obtuse scalene
4. right scalene
Answer: 2, acute equilateral
Step-by-step explanation:
the image shows a triangle with all 3 sides congruent and 3 acute angles
can you help me? im so confused
Answer:
(AB) is longer than (AC)
Step-by-step explanation:
1. Approach
Use the distance formula to find the length of the segments (AC) and (AB); substitute their endpoints into the distance formula and simplifying to solve for the length. After finding the length of each segment, compare their lengths to find out which of the statements is true. The distance formula is as follows:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the endpoints of the segment.
2. Find the length of (AC)
Coordinates of point (A): [tex](-1,1)[/tex]
Coordinates of point (C): [tex](-4,4)[/tex]
Substitute these points into the distance formula,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D=\sqrt{((-1)-(-4))^2+((1)-(4))^2}[/tex]
Simplify,
[tex]D=\sqrt{((-1)-(-4))^2+((1)-(4))^2}[/tex]
[tex]D=\sqrt{(-1+4)^2+(1-4)^2}[/tex]
[tex]D=\sqrt{(3)^2+(-3)^2}[/tex]
[tex]D=\sqrt{9+9}[/tex]
[tex]D=\sqrt{18}[/tex]
3. Find the length of (AB)
Coordinates of point (A): [tex](-1,1)[/tex]
Coordinates of point (B): [tex](0,-4)[/tex]
Substitute these points into the distance formula,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}[/tex]
Simplify,
[tex]D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}[/tex]
[tex]D=\sqrt{(-1-0)^2+(1+4)^2}[/tex]
[tex]D=\sqrt{(-1)^2+(5)^2}[/tex]
[tex]D=\sqrt{1+25}[/tex]
[tex]D=\sqrt{26}[/tex]
4. Find the correct statement
(AB) is longer than (AC)
This statement is true for the following reason:
[tex]\sqrt{18}>\sqrt{26}[/tex]
A candybar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters.
Part A; what is the height of the base. show your work.
Part B; What is the approximate amount of the cardboard used to make the candybox? Explain how you got your answer.
ANSWER PLEASE
simplify 2n(n2+2n+3)-3(2n+7) and (-4n2-3n-8)+2(n+9)
Step-by-step explanation:
> 2n³+4²+6n-6n-21
2n³+4n²-21
> -4n²-3n-8+2n+18
-4n²-3n-8+2n+18
-4n²-n-8+18
-4n²-n+10
2. Find the measure of eº.
D is a vertical angle to the given 159 degrees.
E + D need to equal 180 degrees.
E = 180 - D
E = 180 - 159
E = 21 degrees
Answer: 21 degrees.
Answer: e = 21°
Step-by-step explanation:
Angle d will be 159° because alternate exterior angles are equal.
Now angle e + angle d = 180 because they form linear pair
e + d = 180
e + 159 = 180
e = 180-159
e = 21
please click thanks and mark brainliest if you like :)
Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say?
Answer:
12
Step-by-step explanation:
The first number they will both say = L.C.M of (6,4)
=> L.C.M of (6,4) is 12
The first number they will both say is 12
8 cm 10 cm 15 cm surface area of a rectangle
Answer:
surface area of a square = 2 ( lb + bh + hl )
given that,
length = 8cm
breadth = 10cm
height = 15 cm
surface area = 2 ( 8* 10 + 10*15 + 15*8 )
= 2 ( 80 + 150 + 120 )
= 2 * 350
= 700 [tex]cm^{2}[/tex]
hope this answer helps you!!
Find the area of the sector.
Answer: C . 147π / 4 mi²
Concept:
The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.
A = (θ / 360) πr²
θ = angle of the sector
π = constant
r = radius
Solve:
Given variable
θ = 270°
r = 7 mi
Given formula
A = (θ / 360) πr²
Substitute values into the formula
A = (270 / 360) π (7)²
Simplify exponents
A = (270 / 360) π 49
Simplify by multiplication
A = (147 / 4) π
A = 147π / 4
Hope this helps!! :)
Please let me know if you have any questions
change the following to grams only
a. 7kg 85g
b. 6kg 346g
c. 5kg 342g
Answer:
a) 7085g
b) 6346g
c) 5342g
Step-by-step explanation:
1kg = 1000g
Zero is_______greater than any negative integer.
always
never
sometimes
Answer:
always
Step-by-step explanation:
Zero is always greater than any negative integer.
All the negative integers lie to the left of 0 on the number line. This implies that zero is always greater than any negative integer.5. There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit?It is 1,000 feet away. I need it quick plz I will GIVE you 50pts!
Answer:
1 mile = 5280 feet, then
1 foot = 1 / 5280 milesFind 1000 feet in miles:
1000 feet = 1000 * 1/5280 miles = 1000/5280 miles = ~0.1894 miles[tex]\\ \sf\longmapsto 1feet= \dfrac{1}{5280}miles[/tex]
Now
[tex]\\ \sf\longmapsto 1000feet[/tex]
[tex]\\ \sf\longmapsto 1000\times \dfrac{1}{5280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1000\times 1}{5280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1000}{5280}[/tex]
[tex]\\ \sf\longmapsto 0.18miles[/tex]
Classify each number as rational or irrational.
Answer:
π - irrational
0.04053.. - irrational
0.76 - rational
3.565565565 - irrational
-17 - rational
3.275 - rational
Step-by-step explanation:
rational = can express as fraction
irrational = cannot
Find the measurement of the angle diagonal indicated in the following parallelogram
Answer:
24units
Step-by-step explanation:
From the parallelogram given, we can see that the line FH bisects EG at V. Hence;
GE = 2GV.
Given that
GV = 12
GE = 2(12)
GE = 24
Hence the measure of the length GE is 24units
recurring decimals to fractions and give Convert the following she answer a simplest form 0•28 when 8 is recurring
Answer:
13/45
Step-by-step explanation:
x = .2888888888
100(x + .2888888)
100x + 28.8888
10x + 2.88888
90x = 26
x = 26/90 = 13/45
in a right triangle the two sides are 10 and 5. find all possible values for the third side.
hint: there are two possibilities
Answer:
1. about 11.18
2. about 8.66
Step-by-step explanation:
1. 5^2 + 10^2= 125
square root of 125 equals about 11.18
2. 10^2-5^2=75
square root of 75 equals about 8.66
i need help this is the question.
A manufacturer determines that the cost of making a computer component is $.3.191919 Write the repeating decimal cost as a fraction and as a mixed number.
Let x = 3.191919…. Then 100x = 319.191919…, and we have
100x - x = 319.191919… - 3.191919…
99x = 316
x = 316/99
Next, we have
316 = 297 + 19 = 3 × 99 + 19
so
316/99 = (3 × 99 + 19)/99 = 3 + 19/99
How long would it take a garden snail at his top speed of 0.01 m/s to travel 1 mile? Use 1 mile = 1609 meters. Round to the nearest whole hour.
Answer:
45 hours
Step-by-step explanation:
1 mile * 1609 meters * 1 s = 160900 sec
1 mile .01 meters
160900 sec / 60 /60 = 44.7 = 45 hours
Step-by-step explanation:
This is a cute question lol.
So this lil snail is trying to go 1609 meters, at a speed of 0.01 m/s (meters per second). Lets see how long that takes.
The way I like to do conversion problems is by starting with the value that doesn't have something on the bottom (1609 m) then multiplying to get rid of that variable.
I'll show you what I mean:
[tex]\frac{1609 m}{1} *\frac{1 s}{0.01 m} *\frac{1 min}{60s} *\frac{1 hr}{60 min}[/tex]
Then, we just multiply everything.
[tex]\frac{1609 *1*1}{1*0.01*60*60}hr[/tex]
Simplify.
[tex]\frac{1609}{36}hr[/tex]
Divide.
[tex]44.694444444...hr[/tex]
Round to the nearest whole hour.
[tex]45 hr[/tex]
Answer:
45 hours
if you get 76% on a 50 question test how many questions did you get wrong?
Answer:
100% - 76% = 24%
24% = 0.24
0.24*50 = 12
You got 12 questions wrong.
Step-by-step explanation:
Please mark brainliest!
Number of questions that got wrong are 12 .
Given,
76% on a 50 question test.
Here,
Let total percentage value be 100%.
Then,
100% - 76% = 24%
24% questions got wrong.
Number of questions that got wrong out of 50 will be ,
24% of 50
= 0.24*50
= 12
Therefore 12 questions got wrong.
Know more about percentages,
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Rewrite the expression (x2 – 3x – 18)/(x – 9) using the long division method.
Answer:
x + 3
Step-by-step explanation:
Image below
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?
a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units
Answer: 4. A base area of 16y^2 square units and height of y^2 + y + 3 units
Step-by-step explanation:
Using the distributive property; you can see that 16y^2(y^2+y+3)=
16y^4+16y^3+48y^2
Answer:
D. a base area of 16y2 square units and height of y^2 + y + 3 units
Step-by-step explanation:
Ed22
what is the answer ，and how do you solve it .please help
Answer:
10
Step-by-step explanation:
2000/ 2x = 10
Multiply each side by 2x
2000/ 2x = 10 *2x
2000 = 20x
Divide by 20
2000/20 = 20x/20
100 = x
Take the square root of each side
sqrt(100) = sqrt(x)
10 = sqrt(x)
Nike is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount
Answer:
$17.5
Step-by-step explanation:
original price of shirt=$25
discount on shirt=30%
discount on shirt in $=$25*30%
discount on shirt=$7.5
cost of shirt after discount=origanl price-discount
=$25-$7.5
=$17.5
can somene explain this to me please?
Answer:
10/3
Step-by-step explanation:
rate of change = gradient
(17-7)/(6-3) = 10/3
basically difference of y values / difference of x values
A circle has a radius of 11m . Find the radian measure of the central angle that intercepts an arc of length 6 m .
Answer:
Step-by-step explanation:
θ=l/r
θ=6/11 radians
≈0.555... radians
Help anyone can help me do this question,I will mark brainlest.
side of cube=5
We know
[tex]\boxed{\sf Side=\dfrac{Diagonal}{\sqrt{2}}}[/tex]
[tex]\\ \sf \longmapsto Diagonal =sude\times \sqrt{2}[/tex]
[tex]\\ \sf \longmapsto Diagonal=5\sqrt{2}[/tex]
[tex]\\ \sf \longmapsto Diagonal=5\times 1.4[/tex]
[tex]\\ \sf \longmapsto Diagonal=7cm[/tex]
Answer:
Hello,
Step-by-step explanation:
[tex]Using\ the\ Pythagorian's\ theorem,\\\\EC^2=EA^2+AC^2\\\\=EA^2+AB^2+BC^2\\\\=3*5^2\\\\EC=5\sqrt{3} \approx{8,660...}[/tex]
3.) Find the measure of the missing angle X:
Xº
120°
70°
Answer:
x=50
Step-by-step explanation:
Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.
The solution is : the measure of the missing angle X is x=50.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Let's look at the red angle.
if a flat line makes the angle 180, and the outer angle is 120,
subtract 120 from 180.
This will give you 60.
Now every angle of a triangle added together will give you the sum of 180.
So you already have 60 and 70,
which make 130 all together.
Subtract 130 from 180
i.e. (180-130) = 50
and we get the result of 50.
Hence, The solution is : the measure of the missing angle X is x=50.
To learn more on angle click:
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……………….pls and thx——————-
Answer:
14 yards shorter
Step-by-step explanation:
Use Pythagoras' Theorem
a²+b²=c²
16²+63²=4225
√4225= 65yd
The diagonal line (c) is 65 yards long
16 + 63 = 79 yd
It would be 14 yards shorter (79-65)
Simplify 5 x 5^2 leaving your answer in index form.
Answer:
5^3
Step-by-step explanation:
5^1 x 5^2
indices rules when multiplying you add the powers to 1+2=3
5^3
In ΔRST, m∠R = 92° and m∠S = 71°. Which list has the sides of ΔRST in order from shortest to longest?
Answer:
RS, RT, ST
Step-by-step explanation:
We require the third angle in the triangle
∠ T = 180° - (92 + 71)° = 180° - 163° = 17°
The shortest side is opposite the smallest angle
∠ T = 17° → opposite side RS
The longest side is opposite the largest angle
∠ R = 92° → opposite side ST
Then sides from shortest to longest is
RS, RT, ST
Algebra pleaseeeeeee help
Answer:
Step-by-step explanation:
Remark
I have to assume that you know calculus. It is the only way the problem can be done that I know of. If you don't, I'm not sure how you will do this.
The curve is of y = e^(-2x) + x^2 - 3
The curve crosses the y axis when x = 0. The y value is
y = e^0 + x^2 - 3
yint = 1 + 0 - 3
yint = -2
The slope at point (0,-2) is
y' = -2e^(-2x) +2x
y' = -2 at point A
Therefore the normal will have a slope
m1 * m2 = - 1
The slope of the curve C at A = -2
The equation of the tangent line at A = -2x - 2
Call this m1
m2 = slope of the normal
-2 * m2 = -1
m2 = 1/2
Equation of the line (l) =
y = 1/2 x - 2
The graph is shown below. Notice the two lines actually look like they are at a 90 degree angle.
