Answer:
15.26km
Step-by-step explanation:
Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.
[tex]a^{2} + b^{2} = c^{2}[/tex]
donde a y b son el ancho y el alto del triangulo y el c seria x
[tex]8^{2} + 13^{2} = x^{2}[/tex]
[tex]64 + 169 = x^{2}[/tex]
[tex]233 = x^{2}[/tex]
[tex]15.26 = x[/tex]
Finalmente, podemos ver que la distancia seria 15.26km
A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?
Answer:$ 19.00
Step-by-step explanation:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
You want to have $10,000 in your account after five years. Find the amount your initial deposit should be if the account pays 3.5% annual interest compounded monthly.
Answer: 8396.71
Step-by-step explanation:
if m1=2x° and m3=3x° what is m1
Answer:
36
Step-by-step explanation:
Using the angle addition postulate
angle 1+angle 2+angle 3=180
Angle 2 is 90 degrees,
Angle 1 is 2x degrees
Angle 3 is 3x degrees
Plug this into equation
[tex]2x + 90 + 3x = 180[/tex]
[tex]5x + 90 = 180[/tex]
[tex]5x = 90[/tex]
[tex]x = 18[/tex]
Plug 18 into 2x
[tex]2(18) = 36[/tex]
A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.
Answer:
[tex]A' = (0,0)[/tex]
[tex]B'= (9,18)[/tex]
[tex]C'= (21,12)[/tex]
Step-by-step explanation:
Given
[tex]A= (0,0)[/tex]
[tex]B= (3,6)[/tex]
[tex]C= (7,4)[/tex]
[tex]k = 3[/tex] -- dilation factor
Required
Determine the coordinates of the new triangle
This is calculated using:
[tex]New = Old * k[/tex]
So, we have:
[tex]A' = A *3[/tex]
[tex]A' = (0,0) *3[/tex]
[tex]A' = (0,0)[/tex]
[tex]B' = B * 3[/tex]
[tex]B'= (3,6)*3[/tex]
[tex]B'= (3*3,6*3)[/tex]
[tex]B'= (9,18)[/tex]
and
[tex]C' = C * 3[/tex]
[tex]C'= (7,4)*3[/tex]
[tex]C'= (7*3,4*3)[/tex]
[tex]C'= (21,12)[/tex]
Which equation represents the line that passes through the point (1, 5) and has a slope of -2?
Answer:
y=-2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-2(x-1)
y=-2x+2+5
y=-2x+7
i dont get this pls help with steps asap!
Answer:
2.5
Step-by-step explanation:
it's the midpoint of XZ
what is the diagonal of a solid square. the sides are 7. please help
Answer:
9.89949 units
Step-by-step explanation:
the diagonal of a 7 by 7 square is the same as the hypotenuse of a 7 by 7 triangle. using the pythagorean theorem, you can conclude that
7²+7²=c²
49+49=c²
98=c²
√98=c
c≈9.89949 units
is the expression a^12 x a^4 equivalent to a^8 x a^8
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Properties of indices.
Here, we have to prove that, if the above exponential equation are equal or not., let's prove it
1.)L.H.S
a^12*a^4 = a^m*a^n ===> a^(m+n)
hence, a^(12+4) ===> a^(16)
2.) R.H.S
===> a^8*a^8 = a^(8+8) ==> a^(16)
since here, LHS = RHS
so both are equal.
Help me with the area of the following triangle??? 25 POINTS question
-13/2x+1 is the answer which the area
How to find it simple:
Do 1/2*3x-4
then use that answer and multiple it with the height which is 2x+1 and you get the answer.
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The point is on the line.
The coordinate values satisfy the equation:
1/3x + y = 12
1/3(3) + 11 = 12 . . . substitute for x and y
1 + 11 = 12 . . . . . . . true
Any point that satisfies the equation is a solution. (3, 11) is a solution.
A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Answer:
35/9 inches
Step-by-step explanation:
you can put this in a mixed fraction, its still correct:
3 8/9
The area of the rectangle is 35/9 square inches.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the area of a rectangle,
We multiply the length by the width.
Length = 2 1/3 = 7/3 inches
Width = 1 2/3 = 5/3 inches
Area = Length x Width
Area = (7/3) x (5/3)
Area = 35/9 square inches
Therefore,
The area of the rectangle is 35/9 square inches.
Learn more about rectangles here:
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What graph represents the equationy = 2x – 3?
Answer:
linear graph
Step-by-step explanation:
because the equation of the line is straight
Having trouble solving this:
Answer:
1/250
Step-by-step explanation:
0.4% in fraction form is 0.004
or 4/1000
4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
Solve for θ. Please help me!!
We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.
[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]
[tex] = 30 \: degrees[/tex]
2.8 -3x =12.1 −6x what's x
make the most childish answer possible and ill give you brainliest
Answer:
yo mama
Step-by-step explanation:
Answer and Step-by-step explanation:
Find [x]: <--------------- (Childish Answer)
|
|
4 + y = 3x - 5 |
|
|
----------------------------^
^---------------
I found x!! ^
#teamtrees #WAP (Water And Plant)
give all relationships between angle 1 and angle 2 select all that apply
Answer:
vertical maybe if try it and see
Need help in rush...someone pls help me! And pls show work
Answer:
7.2 or 7.20 my work is explained below!
first divide $3.00 by 5. our answer would be .6 (check: .6x5=3)
so now we know .6 is the cost of 1 ticket. so next, we would multiply .6 by 12 to get our answer. our answer would be 7.2 or 7.20.
I hope this helped, have a good day / night! :)
Answer:
[tex]\frac{5}{3}=1.66666666667 \\1.66666666667 * 6 = 10\\10 * 2 = 20[/tex]
Step-by-step explanation:
Transform to slope-intercept form. 1+2y=6x-3
Answer: Y=3X-2
Step-by-step explanation:
First you are gonna need to combine all like factors.
1+2y=6x-3 (subtract 1 from both sides)
2y=6x-4
Then you need to get the y by itself.
2y=6x-4 (divide all terms by 2)
y=3x-2
now you are in slope intercept form (y=mx+b)
Radius is 8 ft. whats the answer
Answer:
Area = 64pi, Circumfrence=2pi(8)
Step-by-step explanation:
Answer:
Depends. Down below.
Step-by-step explanation:
It depends.
Area of the circle = [tex]\pi[/tex] x [tex]8^{2}[/tex] ≈ 201.06 ft
Circumference of the circle = 2 x [tex]\pi[/tex] x 8 ≈ 50.27 ft
Your garden has 9 pots that use 2 1/3 bag of soil. How much soil does each pot hold?
Answer:
2 6/7
Step-by-step explanation:
i divided
Help asap!
a baker Has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small box
Answer:
7
Step-by-step explanation:
9*9=81
81+7=88
Answer:
7
Step-by-step explanation:
88 / 9 = ?
9 x 9 = 81
88 - 81 = 7
7/9
88 / 9 = 9 7/9
9 is in the large box
7 in the small box
solve this system of equations by using the elimination method.
2x-3y=25
5x+3y=10
Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.
2x-3y=251️⃣
5x+3y=102️⃣
Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:
1️⃣+2️⃣
2x-3y+5x+3y=25+10
7x=35
x=5
Then we can substitute the value of x back into either of the 2 equations.
2*5-3y=25
10-3y=25
3y=-15
y=-5
Then write the 2 answers together.
{x=5
{
{y=-5
Now we can check our answers.
2*5-3*-5=10- -15= 10+15=25 Correct
5*5+3*-5= 25+ -15= 10 Correct
From this we can see that x=5 y= - 5 are the correct answers!
find the missing measure
Answer:
Step-by-step explanation:
can someone please help me??
Answer:
There is only one solution and it is the point of intersection
Step-by-step explanation:
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
To know more about the equation, here
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plzz hellpldppdopbdjdj
Answer:
78 squared feet
Step-by-step explanation:
area= base x height
so 6 x 13 = 78
and yeah
HOPE I HELPED:))
your answer is 91 square feet
What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*
Answer:
3
Step-by-step explanation:
Which point is the intersection of RS and VT?
Answer:
point U
Step-by-step explanation:
I learned this before
Hope this helps