Answer:
1
Step-by-step explanation:
1^3
This is 1 multiplied by itself 3 times
1*1*1
1
Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the estimate using front-end estimation?
Answer:
–21.87 ÷ 4.79
≈ -20 ÷ 5
≈ -4
Step-by-step explanation:
front end estimation means to round off to the most left digit.
eg 12 ≈ 10
If y=26−(3x+2), then x = ?
Answer:
-1/3y +8 = x
Step-by-step explanation:
y=26−(3x+2)
Distribute
y = 26 -3x-2
Combine like terms
y = 24 -3x
Subtract 24 from each side
y -24 = -3x
Divide each side by -3
y / -3 -24/-3 = -3x/-3
-1/3y +8 = x
What is the measure of DG?
Enter your answer in the box.
Answer:
Step-by-step explanation:
∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°
Answer:
it's actually 110, i took the test and got 170 wrong
Step-by-step explanation:
21in. = _____ft. terminating or repeating
Answer:
Terminating
Step-by-step explanation:
We know that 12 inches is 1 foot. We can divide to find how many feet we have.
21 / 12 = 1.75
Since the decimal ends at 0.05, the decimal is terminating.
Best of Luck!
1. Find the slope of a line passing through points (0,0) and (4,5)
o 4/5
5/4
4/9
5/9
Option 5
Answer:
slope = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)
m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]
Answer:
The answer is 5/4Step-by-step explanation:
Slope of a line is given by
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]where
m is the slope and
( x1 , y1) and (x2 , y2) are the points of the line
Slope of the line between the points
(0,0) and (4,5) is
[tex]m = \frac{5 - 0}{4 - 0} = \frac{5}{4} [/tex]Hope this helps you
This figure shows how to create a six-pointed star from twelve equilateral triangle tiles: (SEE FIGURE ATTACHED) If each of the original tiles has a perimeter of 10 cm, what is the perimeter of the final star in cm?
Answer:
Perimeter of the final star = 40 cm²
Step-by-step Explanation:
The perimeter of the six-pointed star is the sum of the sides of the 6 equilateral triangles that form a boundary around the star.
1 triangular tiles gas a perimeter of 10cm.
Only 2 out of the 3 equal sides of each of the 6 equilateral triangles form the boundary of the final star.
Therefore, perimeter of the final star = ⅔ of the total perimeter of 6 triangular tiles
= ⅔ of (10*6)
= ⅔*60
= 2*20
Perimeter of the final star = 40 cm²
Diagram shows helicopter H flying towards an island P
When the helicopter is 100 m above sea level, the pilot sees a man fishing from boat Q. Given the angles of depression of the island P and boat Q from H are 22° and 61.5° respectively.
Calculate the distance, in M, of PQ
Please help me to explain :(
Answer:
193.21 m
Step-by-step explanation:
make a vertical line down from the helicopter that is 100m
tan 61.5 = 100/x x = 54.3 (distance from the point directly below helicopter to boat)
tan 22 = 100/x x = 247.51 (distance from the point directly below helicopter to the island
247.51 - 54.3 = 193.21 (distance from boat to island)
2.
three vertius of sect. A B C D are A (2, 2), B (-3,2), ((
Plot those point and find the quad of D and find the area
of dood. ABCD.
which is the solution to this system of equations?
x + y = 3
x - y = -3
A. (3,0)
B. (0,3)
C. (0,6)
D. (0,-3)
x+y,=3
x_y=-3
A.,(0,3)
B. (0,3)
C. (0,6)
D. (0 _3)
The distance between two schools A and B is 2km.A market is situated 3/4 of the distance from A to B.How far is the market from B?
Answer:
0.5 km
Step-by-step explanation:
the schools are 2km apart, so we are trying to find 3/4 of 2km, which is 1.5. So, the market is 1.5km from school A, which means that it is .5km from school b since they are 2km apart
If A = {2,4,6,8,}, write the set A by description method
Step-by-step explanation:
Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.
C={2,4,6,8}
C={2×1,2×2,2×3,2×4}
thus set builder form is:
{x:x=2n,n∈N} and this set is also call even number set in description mathod
help..? why are there so many parentheses..?can you plz give a step by step on how to slove the equation?
Answer:
= -11
Step-by-step explanation:
-(-(11-22))
= -(-11+22)
= 11 - 22
= -11
HELP ME IM GONNA CRY PLEASE
A car was purchased for $20,000. The car depreciates by 22% of each year.
a) What is the value of the car when it is 12 years
old?
b) How long will it take for the car to be worth less than $100?
Hello, a car was purchased for $20,000.
This is the initial value.
The car depreciates by 22% of each year.
After 1 year, the value is the initial value 20,000 minus 22% of 20,000.
[tex]20000-20\%*20000=20000\cdot (1-20\%)=20000\cdot (1-0.20)=20000\cdot 0.8=16000[/tex]
After 2 years, the value is.
[tex]20000\cdot 0.8\cdot 0.8=20000\cdot0.8^2=12800[/tex]
Let's take n a positive integer, after n years, the value is.
[tex]\large \boxed{\sf \bf \ 20000\cdot0.8^n \ }[/tex]
a) After 12 years, the value is.
[tex]20000\cdot0.8^{12}=1374.389...[/tex]
This is rounded to $1,374
b) We need to find n such that
[tex]20000\cdot0.8^n=100\\\\ln(20000)+nln(0.8)=ln(100)\\\\n=\dfrac{ln(100)-ln(20000)}{ln(0.8)}=23.74...[/tex]
This is around 23.75 meaning 23 years and 75% of 1 year (meaning 9 months).
So to be worth less than $100, 23 years and 9 months are required.
Thank you
Help please Algebra 1
Simplify 4y-6yx+y
if the circumference of two circle are in the ratio 2:3, then their areas are in the ratio of
Answer:
4:9
Step-by-step explanation:
To take the scale factor from distance to area, we square it
2:3 distance
Square each term
2^2 : 3^2 area
4:9
(2p-1)^2 Multiplying polynomials
Answer:
1
Step-by-step explanation:
What is the value of the expression below when y = 5? Show your work and write your answer in a complete sentence.
Y exponent 2-3y+6
Answer:
y=1
Step-by-step explanation:
5=2-3y+6
3y=2-5+6
3y= -3+6
3y= 3
3y÷3=3÷3
y=1
Answer:
16
Step-by-step explanation:
Substitute y = 5 into the expression
y² - 3y + 6
= 5² - 3(5) + 6
= 25 - 15 + 6
= 16
pls help :: geometry summer assignment
Answer:
140
Step-by-step explanation:
Left column = x
Right column = y
Rule = 3.5x = y
Because 42/12 = 3.5
3.5 * 40 = 120 + 20 = 140
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the value of v in the equation below(in picture)
Answer:
v =3Step-by-step explanation:
[tex]v=\log _7\left(343\right)\\\\\mathrm{Rewrite\:}343\mathrm{\:in\:power-base\:form:}\quad 343=7^3\\\\\log _7\left(7^3\right)=3\log _7\left(7\right)\\\\v=3\log _7\left(7\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\\\log _7\left(7\right)=1\\\\v=3\times \:1\\\\=3[/tex]
if 3x=y-5 and x=-4 then y =
Answer:
-7 = y
Step-by-step explanation:
3x=y-5
Let x = -4
3(-4) = y-5
-12 = y-5
Add 5 to each side
-12 +5 = y-5+5
-7 = y
El Pirata Barba Plata ha llegado a la isla del Coral para buscar un tesoro. En el mapa pone que, desde la orilla, debe recorrer 37 hm a la pata coja hacia el centro de la isla, y después otros 85 dam dando volteretas en la misma dirección. ¿Cuántos metros recorrerá en total desde la orilla hasta el tesoro? Expresa el resultado también en kilómetros.
Answer:
4550m ; 4
Step-by-step explanation:
Recall
1 hectometre = 100m
1 decameter = 10m
Distance from shore to center of island = 37hm
Another 85 decameter toward stge se direction
Therefore total metres it will travel in other to get to the treasure :
37 hectometre + 85 decameter
(37 * 100)m + (85 * 10)m
3700m + 850m = 4550m
In kilometers :
1000 meters = 1 kilometers
4550 meters =
(4550 / 1000)meters
= 4.55km
The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?
Answer:
[tex]\boxed{6912 units^2}[/tex]
Step-by-step explanation:
Hey there!
Well using the given ratio,
3:4
And the area of the small shape we need to do,
72*72 = 5184
Now we can make the following fractions,
[tex]\frac{3}{4}[/tex] = [tex]\frac{5184}{x}[/tex]
Now we can solve,
3*x = 3x
4 * 5184 = 20736
3x = 20736
20736 / 3
x = 6912
So the area of the bigger shape is 6912 units^2
Hope this helps :)
Marcus is shopping for pants. The available styles are boot cut (B), skinny (S), and relaxed fit (R). Make an organized list to show all possible outcomes if he buys two new pairs of pants.
Answer:
list in the explanation
Step-by-step explanation:
BOOT x2
SKINNY x2
RELAXED x2
BOOT, SKINNY
BOOT, RELAXED
SKINNY, BOOT
SKINNY, RELAXED
RELAXED, BOOT
RELAXED, SKINNY
The solution set is given by Set A = { BB , SS , RR , BS , BR , SR } , where B , S and R are boot cut (B), skinny (S), and relaxed fit (R) respectively
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the set be represented as A
Now , the equation will be
Marcus is shopping for pants and the available pants are boot cut (B), skinny (S), and relaxed fit (R)
He wants to buy 2 pair of pants , and the possible ways of 2 pants are
Set A = { BB , SS , RR , BS , BR , SR }
So , the total number of elements in set A = 6 pairs
Therefore , the value of A is 6 pairs
Hence , the set A is { BB , SS , RR , BS , BR , SR }
To learn more about sets click :
https://brainly.com/question/28278437
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If two angles are complements of each other then each angle is
Answer:
each angle is less than 90 degrees. angle 1+angle2=90 degrees
Step-by-step explanation:
asking this out of spite <3
Which statement is true about the climbers’ heights?
A) Brynn was resting at a constant climbing height when Abby’s climbing height was decreasing.
B) Abby’s climbing height was decreasing when Brynn’s climbing height was increasing.
C) The heights of both climbers increased, then decreased, with no rest at a constant height.
D) Both climbers rested on the wall at a constant height for 2 minutes.
Please answer thanks!
Answer:
see explanation
Step-by-step explanation:
tan x = -1
[tex]x = tan^{-1}(-1)[/tex]
x = -45
tan x = 5
[tex]x = tan^{-1}(5)[/tex]
x = 78.69
Answer:
See below.
Step-by-step explanation:
So we want to find the solutions to the two equations:
[tex]\tan(x)=-1 \text{ and } \tan(x)=5[/tex]
I)
[tex]\tan(x)=-1\\x=\tan^{-1}(-1)[/tex]
Recall the unit circle. First, note that the number inside tangent is negative. Because of this, we can be certain that the x (in radians) must be in Quadrant II and/or IV (This is because of All Students Take Calculus, where All is positive in QI, only Sine is positive in Q2, only Tangent is positive in Q3, and only Cosine is positive in QIV. Tangent is negative so the only possible choice are QII and QIV).
From the unit circle, we can see that x=3π/4 is a possible candidate since tan(3π/4)=-1.
Since tangent repeats every π, 7π/4 must also be an answer (because 3π/4 + π = 7π/4). And, as expected, 7π/4 is indeed in QIV.
Therefore, for the first equation, the solutions are:
[tex]x=3\pi/4 \text{ and } 7\pi/4[/tex]
II)
For the second equation, there is no exact value for which tangent of an angle would be equal to 5. Thus, we need to approximate.
So:
[tex]\tan(x)=5\\x=\tan^{-1}(5)\\x=\tan^{-1}(5) \text{ and } \tan^{-1}(5)+\pi[/tex]
We got the second answer because, like previously, tangent repeats every π, so we only need to add π to get the second answer.
In approximations, this is:
[tex]x\approx1.3734 \text{ and } x\approx4.5150[/tex]
Note: All the answers are in radians.
6 points are place on the line a, 4 points are placed on the line b. How many triangles is it possible to form such that their verticies will be the given points, if a ∥b?
Answer: 96
Step-by-step explanation:
Ok, lines a and b are parallel.
We can separate this problem in two cases:
Case 1: 2 vertex in line a, and one vertex in line b.
Here we use the relation:
"In a group of N elements, the total combinations of sets of K elements is given by"
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here, the total number of points in the line is N, and K is the ones that we select to make the vertices of the triangle.
Then if we have two vertices in line a, we have:
N = 6, K = 2
[tex]C = \frac{6!}{4!*2!} = \frac{6*5}{2} = 3*5 = 15[/tex]
And the other vertex can be on any of the four points on the line b, so the total number of triangles is:
C = 15*4 = 60.
But we still have the case 2, where we have 2 vertices on line b, and one on line a.
First, the combination for the two vertices in line b is:
We use N = 4 and K = 2.
[tex]C = \frac{4!}{2!*2!} = \frac{4*3}{2} = 6[/tex]
And the other vertice of the triangle can be on any of the 6 points in line a, so the total number of triangles that we can make in this case is:
C = 6*6 = 36
Then, putting together the two cases, we have a total of:
60 + 36 = 96 different triangles
If x/y = 2/3 what is the value of 6x/y
If x/y = 2/3, then all we have to do is multiply x/y by 6. Another way to look at this (the same thing) would be to see 6 as 6/1, so 6 is multiplied by x, and y is multiplied by 1.
But, all the same, you multiply 6 by x/y and you get (2·6)/3 = 12/3 = 4
URGENT! The range of y=Arccosx is (-pi/2,pi/2). True or False?
false. range of [tex] \cos^{-1}(x)[/tex] is $[0,\pi]$
Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
A. 28.93 units²
B. 29.98 units²
C. 29.79 units²
D. 30.73 units²
Answer:
Area of quadrilateral ABCD = 29.79 units² (Approx)
Step-by-step explanation:
Area of triangle ABD
s = (3.48+8.66+8.6) / 2
s = 10.37
Area of triangle ABD = √10.37(10.37-8.66)(10.37-8.6)(10.37-3.48)
Area of triangle ABD = √212.4616
Area of triangle ABD = 14.5760625 unit²
Area of triangle ACD
s = (3.54+8.84+8.6) / 2
s = 10.49
Area of triangle ACD = √10.49(10.49-8.6)(10.49-8.84)(10.49-3.54)
Area of triangle ACD = √227.3558
Area of triangle ACD = 15.0783222 unit²
Area of quadrilateral ABCD = Area of triangle ABD + Area of triangle ACD
Area of quadrilateral ABCD = 14.5760625 unit² + 15.0783222 unit²
Area of quadrilateral ABCD = 29.6542units²
Area of quadrilateral ABCD = 29.79 units² (Approx)