Answer:
x = 3/5 = 0.6
Step-by-step explanation:
By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:
7x - 3 = 2x
-3 = -5x
3/5 = x
PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.
Answer:
1/80
Step-by-step explanation:
(the area of the small circle)/(the area of the larger circle)
= (π× 3²)/(π× 27²)
(=> eliminate π)
= 3²/27² = (1/9)² = 1/81
since the shaded area is inside the larger circle,
the geometric probability =
1/(81-1) = 1/80
In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
the exponential growth rate for Chad was 2.5% per year, which Denmark was 0.1% per year. Find the
population of Denmark when the population of Chad was 10 million people. (Round time to the nearest
tenth, and population to the nearest person).
9514 1404 393
Answer:
5,339,479
Step-by-step explanation:
The populations in millions of the different countries can be represented by the equations ...
c = 5.2(1.025^t)
d = 5.2(1.001^t)
We want to find d when c = 10. Solving for t when c=10, we have ...
10 = 5.2(1.025^t)
10/5.2 = 1.025^t
log(10/5.2) = t×log(1.025)
t = log(10/5.2)/log(1.025)
Then the value of d for that value of t is ...
d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789
The population of Denmark is about 5,339,479 when the population of Chad is 10 million.
_____
If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.
Which graph shows the point (4, -1)?
Answer:
C
Step-by-step explanation:
Points are written as (x,y)
So in (4,-1) x = 4 and y = -1
Looking at a graph if you go to the right 4 units the x axis and down one unit you will be at point (4,-1)
The graph that shows this would be c
How much would nick have over the span of 20 years if he put $1000 in his savings account with 10% of simple interest
Step-by-step explanation:
use the simple interest formula
WHAT IS THIS HELP- 20 points i think-
Answer:
(6,5)
Step-by-step explanation:
To keep the sides parallel, the y coordinate must be the same as the top point so y = 5
The distance between the bottom points is 1, so the distance between the top points must be 1
The point could be at 5-1 =4 or 5+1 = 6
(4,5) or (6,5)
Given the choices listed
A jogger travelled 52km in 4 days.what is the rate he travelled per day?
52km multiply by 4(days)=208
which graph is a function of x
Answer:
the answer is the 2nd one the one with the v shape
Step-by-step explanation:
if you do the vertical line test which is just drawing a vertical line through the line and it intersect the line twice than it is NOT functional
(i think i do not know D:)
Find the measure of the missing angles.
420
b
A student tosses 4 coins.
What is the probability that all 4 coins show heads?
Step-by-step explanation:
There are 24=16 total possible outcomes of which only one outcome gives rise to all heads. Thus the probability that all coins land heads is 1/16.
Find the equation of the line through (2,4) and (3,-1)
y=23x+143 hope this helps
Answer:
y = -5x+14
Step-by-step explanation:
slope formula
y-y divided by x-x
4-(-1) / 2-3
5/-1 or -5
substitute into y = mx + b
4 = -5(2) + b
b = 14
Find the value of cos 28°cos 62°– sin 28°sin 62°
cos 28°cos 62°– sin 28°sin 62° = 0
Step-by-step explanation:From one of the trigonometric identities stated as follows;
cos(A+B) = cosAcosB - sinAsinB -----------------(i)
We can apply such identity to solve the given expression.
Given:
cos 28°cos 62°– sin 28°sin 62°
Comparing the given expression with the right hand side of equation (i), we see that;
A = 28°
B = 62°
∴ Substitute these values into equation (i) to have;
⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°
Solve the left hand side.
⇒ cos(90°) = cos28°cos62° - sin28°sin62°
⇒ 0 = cos28°cos62° - sin28°sin62° (since cos 90° = 0)
Therefore,
cos28°cos62° - sin28°sin62° = 0
Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high.
What is the volume of the display box?
Answer:
Solution given:
length [l] =6in
wide[w]=9in
height[h]=4in
we have
volume of the display box=lwh=6*9*4=216in³
the required volume is 216 cubic inches.
j'arrice pas a faire cette equation: A= 2-1/3 ÷ 2+1/3 J'ai besoin d'aide ses notes pour demain merci
Answer:
1 1/6
Step-by-step explanation:
1. 2 - 1/3 = 1 2/3
2. 1 2/3 ÷ 2 = 5/6
3. 5/6 + 1/3 = 1 1/6
What is the length of u and v in this 30-60-90 triangle
Answer:
option 2
Step-by-step explanation:
Using trigonometric ratio:
[tex]Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8[/tex]
Now using Pythagoras theorem we will find v
[tex]8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}[/tex]
By using trigonometric relations, we will see that v = 4*√3 and u = 8
How to get the missing lengths?
Here we have a right triangle, we can use trigonometric relations to find the missing sides.
We can see that v is the opposite cathetus of the 60° angle, then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
Replacing what we know, we get:
tan(60°) = v/4
4*tan(60°) = v = 4*√3
To get the value of u, we use:
cos(a) = (adjacent cathetus)/(hypotenuse).
cos(60°) = 4/u
u = 4/cos(60°) = 2*4 = 8
Then we have:
v = 4*√3
u = 8
If you want to learn more about triangles, you can read:
https://brainly.com/question/17972372
Which is the equation of the line that is parallel to the given line and has an X -intercept of -3
Answer:
Answer:Uh oh! It looks like your question is missing some crucial information.
Step-by-step explanation:
You didn't include the"given line"
TTFN is the first one in secend and
Answer:
issue is the formula is still available
Step-by-step explanation:
what thw law do I have
Write the rule for the translation shown below.
How many multiples of 9 are between 100,000 and 100,185?
Answer:
20
Step-by-step explanation:
After 99,999 is 100,008 So start from there
100,008 1
100,017 2
Ten 9's later...
100,107 12
Eight 9's later...
100.179
Ther are 20
What is the distance between -5 and 4
Answer:
9
Step-by-step explanation:
-5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4
-5 + 9 = 5
The jackals howled loudly in the forest change in to interrogative
Answer:
did, the jackles howled loudly in the forest ?
I'm having trouble grasping this one
Answer:
- 50
Step-by-step explanation:
Given the equation :
2x³ - z
x = - 3 ; z = - 4
Substituting the values into the equation :
2(-3)³ - (-4)
-3³ = - 27
Hence,
2(-27) - (-4)
-54 + 4
= -50
2x³ - z at x = - 3 and z = - 4 is - 50
please help me :(? I will mark BRAINLIST!
Answer:
1.) B
2.) B
Step-by-step explanation:
Number 1 is B bc rapid population in Mexico is caused by the economy improving.
Number 2 is B bc if there was one political party , there would be little opposition in the government. It basically means disaster.
PLEASE HELP MEEE!! AND DONT PUT THESE LIKE TINY.URL THINGS
=======================================================
Work Shown:
A = h*(b1+b2)/2 .... area of trapezoid formula
A = 4*(7+3)/2
A = 4*(10)/2
A = 40/2
A = 20 square units
-----------
notes:
The bases b1 and b2 are parallel to one another.b1 = 7 is the longer horizontal base at the bottom. It spans from x = 1 to x = 8, so it's 8-1 = 7 units long.b2 = 3 is the shorter horizontal base up top. It spans from x = 2 to x = 5, so it's a distance of 3 units.h = 4 is the height. We can count out 4 spaces when going one base to the other, or we can note that the y coordinates subtract to 4 (ie 5-1 = 4)The base and height are always perpendicular to one another.As an alternative way to solve, you can break the figure into 2 triangles and a rectangle in between. Find the area of each piece, and then add those areas up to get the final answer.x over 3 add 5 = 5
Pls help someone
Answer:
x=0
Step-by-step explanation:
0/3 = 0
0+5=5
PLS I REALLY NEED HELP
Answer:
i dont know this sorry
Step-by-step explanation:
Identify the location of the point (0, -3).
Answer:
Point p
Step-by-step explanation
The first number in your point is on the x axis, but since it's 0 you don't move anywhere.
The second number in your point is on the y axis, it's -3, so you move down on the y axis 3 times.
When the x axis(first number) is negative you move left, and if the y axis(second number is negative you move down), and vise versa.
Know how to rearrange formulae Question 1: Make y the subject of each of the following
(a) y + w = c
(b) y- p = m
C) m + y = s
(d) y - 2g = n
(e) 3y = c
(f) ay = w
(g) y/c =w
(h) y/a= 2c
(i) a = y + p
Someone please help me.
Answer:
y=c - w
y=m+p
y=n+2g
y=c/3
y=w/a
y=w×c
y=2c×a
y=a-p
Step-by-step explanation:
crossing the equality sign
- = +
+ = -
× = ÷
÷ = ×
hope this would help
what are the y and x intercepts?
Answer:
(18/5, 0) is the x intercept
(0,-2) is the y intercept
Step-by-step explanation:
-5x+9y = -18
Set y = 0 and solve for x to find the x intercept
-5x +0 = -18
Divide each side by -5
x = -18/-5
x = 18/5
(18/5, 0) is the x intercept
Set x = 0 and solve for y to find the y intercept
0 +9y = -18
Divide each side by 9
y = -18/9
y = -2
(0,-2) is the y intercept
Answer:
x- intercept is 18/5
y- intercept is -2
Step-by-step explanation:
See image below:)
Find the y- intercept and x-intercept of the line.
4x-y=8
Answer:
x-intercept is (2,0)
y-intercept is (0,-8)
Step-by-step explanation:
to find the 'x-intercept', substitute zero for 'y' and solve:
4x - 0 = 8
4x = 8
x = 2; x-intercept is (2,0)
4(0) - y = 8
0 - y = 8
y = -8; y-intercept is (0,-8)
Which of the following correctly names a side of the triangle below?
A. ZC
B. B
С. АВ
D. AABC
Answer:
C. [tex]\frac{}{AB}[/tex]
Step-by-step explanation:
You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.
This is how we solve this question by using the eliminating process.
(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line
(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)
(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.
Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]