Answer:
A, C, and E are true.
Step-by-step explanation:
These are all done the same way.
Look at (A). If the statement is true, then 8² + 15² = 17², because the Pythagorean theorem says that if you square the lengths of the two shorter sides of a right angle, their sum will equal the square of the longest side: a² + b² = c².
8² = 64. 15² = 225. So 8² + 15² = 64 + 225 = 289.
So if the statement is true, then 289 = 17².
And yes 17² = 289, so the statement is true.
On the other hand, (B) is false. 7² + 24² = 49 + 576 = 625
But the third side squared, 35² = 1225, not 625.
Find the mean absolute deviation for the data set.
Hits in a Round of Hacky Sack
5,18,18,5,6,12,5,
5,12,11,17,13,7,6,8
Answer:
try 6 because when u put them in order than u are by a 8 and a 7
Step-by-step explanation:
please tell me if i right
Is (5, 2) a solution to y = 4? Explain your reasoning.
Simplify the radical: √80
Answer:
4√5
Step-by-step explanation:
if this isnt the answer u needed lmk!!
please help me on this will give you brainliest
Pls help Factor 4x^3+32
Answer:
Step-by-step explanation:
The greatest common factor they share is 4.
[tex]4(x^3+8)[/tex]
The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.
Answer:
30, 60
Step-by-step explanation:
The sum of a triangles angles should be 180.
Subtract 90 because it's a right triangle.
180 - 90 = 90
Now we know the sum of the other angles should be 90.
x + 2x = 90
Solve for x.
3x = 90
x = 30
Now you substitute 30 for x.
(30), 2(30)
30, 60
Write 546/61 as a mixed number.
Can you solve it
Answer:
8 58/61.
Step-by-step explanation:
546/61 = 8 remainder 58
so it's 8 58/61.
4x - 2 (x + 1) = 3x + 10
Answer:
The correct answer is x = -12.
♡ The Question ♡
4x - 2 (x + 1) = 3x + 10
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
x = -12
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
4x - 2 (x + 1) = 3x + 10
2x - 2 = 3x + 10
2x - 2 + 2 = 3x + 10 + 2
2x - 3x = 3x + 12 - 3x
-x = 12
-x/-1 = 12/-1
x = -12
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
Calculate the variance.
Answer:
112500000???
Step-by-step explanation:
indica a que numero decimal coresponde a esta fraccion
6/100
Answer: 0.06
because 100 has two zeros, the move the number of zeros to the left so the answer is 0.06
Simplify 12cm to 2.5mm
Given:
12cm to 2.5mm
To find:
The simplified for of given statement.
Solution:
We know that,
1 cm = 10 mm
12 cm =120mm
We have,
12cm to 2.5mm
It can be written as
[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120\ mm}{2.5 mm}[/tex]
[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120}{2.5}[/tex]
[tex]\dfrac{12\ cm}{2.5\ mm}=48[/tex]
Therefore, the value of 12 cm to 2.5 mm is 48 or 48:1.
у = 2х - 1
2х + Зу = -7
Answer: 1. у %3 2х
Step-by-step explanation: Find the distance between (0, 0) and (-3, 4) pair of points
Hopkins has a 1 meter wire using to make clocks. Each fourth meter is marked off and divided into 5 smaller equal lengths.
Complete question :
Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?
Answer:
15 th ; 15/20
Step-by-step explanation:
Length of wire = 1 m
Number of fourth length possible = 1 ÷ 1/4 = 1 * 4/1 = 4
Each fourth length divided into 5 equal sizes :
Hence. Total number of equal spaced division :
5 * 4 = 20
If wire is bent at 3/4 meter :
Fraction of the mark
3/ 4 of 20
3/4 * 20
(3 * 20) / 4
60 / 4
= 15th
= 15/ 20
what is 11/20 as a percent
Answer:
55%
Step-by-step explanation:
11/20 = x/100
cross multiply
Answer:
55%
Now we can see that our fraction is 55/100, which means that 11/20 as a percentage is 55%.
Step-by-step explanation:
Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?
Answer:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
4 months = 1/3 years
[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]
$120,000 in 1 year
5years, 120,000×5 = $600,000
Answer:
here u go
Step-by-step explanation:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
The product of three and a number increased by 7 is 16
Answer:
Equation: 3x + 7 = 16
Unknown Number: 3
Step-by-step explanation:
You must first develop an equation representing this problem:
3x + 7 = 16
Then, you can solve for the unknown number.
3x + 7 = 16
3x = 9
x = 3
Substitute the value n = 4 in the expressions
2n
n + 2
3(n+4)
Step-by-step explanation:
Given n = 4
2n = 2* 4= 8
n + 2 = 4 + 2 = 6
3(n + 4) = 3( 4 + 4) = 3 * 8 = 24
Hope it will help :)
GUYS PLEASE I NEED HELP
Given:
The graphs of two parabolas.
To find:
The equation of the quadratic function with given graphs.
Solution:
(a)
The factor form of a parabola is
[tex]y=a(x-b)(x-c)[/tex]
Where, a is a constant, b and c are x-intercepts.
From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.
[tex]y=a(x-(-1))(x-3)[/tex]
[tex]y=a(x+1)(x-3)[/tex] ...(i)
Put x=0 and y=3 because the y-intercept is (0,3).
[tex]3=a(0+1)(0-3)[/tex]
[tex]3=-3a[/tex]
[tex]\dfrac{3}{-3}=a[/tex]
[tex]-1=a[/tex]
Putting a=-1 in (i), we get
[tex]y=-1(x+1)(x-3)[/tex]
[tex]y=-(x+1)(x-3)[/tex]
Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].
(b)
The vertex form of a parabola is
[tex]y=a(x-h)^2+k[/tex]
Where, a is a constant and (h,k) is vertex.
From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.
[tex]y=a(x-2)^2+0[/tex]
[tex]y=a(x-2)^2[/tex] ...(ii)
Put x=0 and y=8 because the y-intercept is (0,8).
[tex]8=a(0-2)^2[/tex]
[tex]8=4a[/tex]
[tex]\dfrac{8}{4}=a[/tex]
[tex]2=a[/tex]
Putting a=2 in (ii), we get
[tex]y=2(x-2)^2[/tex]
Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
Which equation can we use to find the equal volume of concrete in cubic feet darlin' needs for the staircase
Answer:
The equation required to find the volume of concrete is:
L X W X H.
Step-by-step explanation:
L = Lenght
W = Width
H = Height
To calculate the required volume for concrete, you'd need to multiply the measures of all the dimensions together such as the lenght and the breath (which gives you the Area) and the thickness or height of the staircase.
If the calculation is being expressed in Feet, the answer will also be expressed as Volume of concrete in Cubic feet.
Cheers
how many triangles.
Find (4.2) x (1.6) by drawing an area diagram or using another method. Show your reasoning
awnscer is 6.72 sorry could not find a diagram
Answer:
The answer is 6.72
Step-by-step explanation:
what you can do is 42 x 16 (you can add the decimal if you want) btu after your done solving it you should get 672 and if your doing decimals just count how many behind the decimal and count it and you will get 6.72! hope this helps.
Factor the expression completely
6x^3+x
Answer:
x(6x^2+1)
Step-by-step explanation:
To factor an equation, we have to take out the greatest common factor of both terms. In this case, that term would be x. Then we can out x outside of the parantheses and your distributive property to rewrite this equation.
9.
In the expression 7g + 12
a. 7 is the constant
b. c. 12 is the coefficient
C. g is the variable
d. if g = 4, the expression equals 30
Answer:
c. g is the variable
Step-by-step explanation:
Answer:
The only true answer is that g is the variable
C
Can anyone help me with this??
Answer:
find the cordinates of each letter or number then find witch is greater or less than when your answering it
Step-by-step explanation:
Given the following functions, f (x)= 3x + 2 and g(x)= 5x determine
part a: f(8)=
part b: g(a+2)=
Answer:
a) 26; b) 5a+10;
Step-by-step explanation:
f(8)=3(8)+2
=24+2
=26
g(a+2)=5(a+2)
=5a+10
Smart ppl please help meee
Answer:
The reason why the area is 2a+3a+4a is because ax2=2a ax3=3a and ax4=4a know we know each segment so after that you add the segments to get the are equation which is 2a+3a+4a.
The reason why the area is also (2+3+4)a is because you just factored the orginial equation and if you use the distributive property they equal the same.
Step-by-step explanation:
If this answer helped you then please consider liking this and marking it as brainliest :)
I will give brainliest!!
Find the surface area for the given prism.
Height: 8 Inches
Length: 10 Inches
Width: 14 Inches
564 in ^2
664 in ^2
1,120 in ^2
1,080 in ^2
Find the lateral area for the given prism.
Height: 26 CM
Width: 6 CM
Length: 14 CM
1,092 cm ^2
998 cm ^2
1,272 cm ^2
870 cm ^2
Answer:
SA: 664 in²
LA: it’s supposed to be 1040cm???
Step-by-step explanation:
SA: find the area of all sides of the prism first (I suppose it’s rectangular?)
80+80+112+112+140+140 = 664
LA: the lateral area formula is (perimeter of base)*height...
perimeter of base = (6+6+14+14) = 40
40 * 26 = 1040
I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)
Answer:
1,092
Step-by-step explanation:
Help please and show work
A map has the scale of 1 inch = 50 miles. if two cities are 1 inch apart on the map how many miles separate the cities?
Answer: 175
Step-by-step explanation:
To determine the actual distance using the map scale of 1 inch = 50 miles, you would multiply the number of inches shown on the map by 50.
For this problem: 3 1/2 • 50 = 7/2 • 50 = 175 miles
The two cities are 175 miles apart.