Correct question is;
Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calculate when they would be 400 miles apart and how long would it take to happen
Answer:
They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours
Step-by-step explanation:
Since Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south,then the distance between them will be the hypotenuse of a right angle triangle.
Now, we are told that Ms. Ironperson is traveling at 50 mph and that Mr. Thoro is traveling at 60 mph.
Thus, if we want to find when they would be at 400 miles apart, it means we have to find the distance Ms. Ironperson and Mr. Thoro would have covered after a time "t".
Thus,
Ms. Ironperson covered 50t miles
Mr. Thoro covered 60t miles
Therefore, since their location forms a right angled triangle, then we can use pythagoras theorem and we have;
(50t)² + (60t)² = 400²
This gives;
2500t² + 3600t² = 160000
6100t² = 160000
t² = 160000/6100
t = √(160000/6100)
t ≈ 5.12 hours
Thus, for Iron person, distance covered is: 50 × 5.12 = 256 miles
For Mr. Thoro, distance covered is: 60 × 5.12 ≈ 307 miles.
They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours
Work out the angles marked x in each diagram you must show your working
Answer:
x = 125°Step-by-step explanation:
Since ∆ ABC is a triangle the sum of it's angles add up to 180°
In order to find x we must first find [tex]\angle[/tex] AED
Let [tex]\angle[/tex] AED = E
To find [tex]\angle[/tex] AED add up all the angles in the triangle and equate it to 180°
That's
35 + 90 + E = 180
125 + E = 180
E = 180 - 125
E = 55°
E and x lie on a straight line
So we have
x + 55 = 180°
x = 180 - 55
x = 125°Hope this helps you
nearest thousand of 10391 please give me answer fast
Answer: 10,000
Step-by-step explanation:
-(4-2b) simplify and make an expression
Answer:
-4 + 2b
Step-by-step explanation:
Simplify the expression.
−4 + 2b
I hope this helped you!
 In the expression 9z^4-8+15(y^3+6), name the two factors of the term 15(y^3+6)
Factors multiply to get a product. You can take this process in reverse.
As another example, the number 12 factors into 3*4, where 3 and 4 are the two factors. This idea applies to both numbers and variable expressions as well.
El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,
a. Cuánto tiempo le tomará a ambas realizar el trabajo?
Answer:
El tiempo que tardarán Lourdes y Rosabel en hacer el trabajo juntas es de 3,6 horas.
Step-by-step explanation:
Los parámetros dados son;
El tiempo que tarda Lourdes en leer las letras = 6 horas
El tiempo que le toma a Rosabel leer las letras = 9 horas
Sea la cantidad total de trabajo de oficina = X
Deje que el tiempo que ambos tienen que trabajar para hacer el trabajo = t
Por lo tanto;
La tasa de trabajo de Lourdes = X / 6
La tasa de trabajo de Rosabel = X / 9
X / 6 × t + X / 9 × t = X
t × (1/6 + 1/9) = 1
t × 5/18 = 1
t = 18/5 = 3,6 horas
Por lo tanto;
El tiempo que les llevará a Lourdes y Rosabel hacer el trabajo juntas = 3.6 horas.
stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies
Answer:
4/21
Step-by-step explanation:
boomer
Answer:
you never finished the question
Step-by-step explanation:
△ABC and △JKL have corresponding equal angles. Side length BC is twice the length of side KL. Which statement is true? A. △ABC and △JKL are similar. B. △ABC and △JKL are congruent. C. There is not enough information to know if they are similar or not. D. △ABC is a dilation of △JKL by a factor of 12
Answer:
A. △ABC and △JKL are similar.
Step-by-step explanation:
Since three angles of one triangle are congruent to three corresponding angles of the other triangle, the triangles are either congruent or similar. Since the side of one triangle is twice the length of the corresponding side of the other triangle, then the triangles are not congruent, but they are similar.
A. △ABC and △JKL are similar.
Answer:
. △ABC and △JKL are similar.
Step-by-step explanation:
The formula c = 5p + 235 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of people attending. If Allie's parents are willing to spend $395 for a party, how many people can attend?
the letters a,b and c, represent nonzero constants. Solve ax+b=c for x
Answer:
[tex]x = \frac{c-b}{a}[/tex]
Step-by-step explanation:
To solve for x, x needs to be on one side while all the other variables are on the other
To do this first subtract b from each side making the equation,
ax = c - b
Now divide by a on both sides. This means that to solve for x the equation must be ...
[tex]x = \frac{c-b}{a}[/tex]
How many pounds of blueberries can you buy for $13.00?
Answer:it would be 3 1/4 pounds of blueberries
Step-by-step explanation:
Evaluate 6|5 - c| + 2c when c = 6.
6
18
48
-24
Answer:
7.2
Step-by-step explanation:
6/5-6+2*6
=6/5-6+12
=1.2-6+12
=13.2-6
=7.2
there is a circular path around a sports field Soniye X 18 minutes drive one round of the field while Ravi takes 12 minutes for the same the first they both started the same point in same time I am going the same direction after how many minutes will they meet again at the starting point
Can someone help please.
Answer:
Angles 3, 6, and 5 and the answer. (put in form 3, 6, 5)
Step-by-step explanation:
What is the slope ? Simplyify your answers and write it as a proper fraction , improper fraction or an interger
Answer:
m = 7/2
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Identify 2 coordinates
(-3, 3)
(-5, -4)
Step 2: Plug into formula
m = (-4 - 3)/(-5 + 3)
m = -7/-2
m = 7/2
If f(x) = -6x - 3, find f(x) = 21.
Answer:
[tex]\huge \boxed{x=-4}[/tex]
Step-by-step explanation:
[tex]\sf f(x)=-6x-3 \\\\\\ f(x)=21[/tex]
Applying substitution method and solving for the value of x.
[tex]\sf 21=-6x-3[/tex]
Adding 3 to both sides.
[tex]\sf 24=-6x[/tex]
Dividing both sides by -6.
[tex]\sf -4=x[/tex]
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
[tex]\large\boxed{f(x)=-129}[/tex]
Step-by-step explanation:
Given - f(x) = 21
Now we have to put the value in the given equation
f(x) = -6x-3
f(21) = -6(21) -3
= - 126 -3
= -129
Hope it helps
Write the number 0.21212121 ... as a fraction
Answer:
1.91/9
Step-by-step explanation:
x=0.212121212........ .........1 equation
10x=2.12121212......... ........2 equation
1 equation - 2 equation
9x=1.91
x=1.91/9
therefore 0.212121.....=1.91/9
Using the graph provided, find f(−2)
Answer:
f(-2) = 1
Step-by-step explanation:
f(-2) means find the y value when x = -2
Going to x=-2 and going up until we hit the blue line
f(-2) = 1
Answer:
[tex]\Large \boxed{f(-2)=1}[/tex]
Step-by-step explanation:
For f(-2), the input of the function f(x) is -2.
The input is the x value.
[tex]x = -2[/tex]
The output is the value of y.
When x = -2 on the graph, y = 1.
Phalicia is a senior at North HS and wants to begin saving for college. She's trying to choose between two savings account options.
Option 1: Phalicia deposits $300 and deposits an additional $50 each month.
Option 2: Phalicia deposits $5 and it triples each month.
Which option should she choose
Answer:
Option 2
Step-by-step explanation:
Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.
With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.
With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.
Obviously, she should choose Option 2 because she saves A LOT more money.
Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.
3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P. Marcus states that angle ORP and angle LRP are a linear pair. Which best describes his statement?
He is correct. The angles share a common vertex so they are a linear pair.
He is correct. The angles share a common ray so they are a linear pair. He is incorrect. Angle ORP does not form a linear pair with another angle in the diagram.
He is incorrect. Ray RO and ray RL are not opposite rays.
Answer:
D. He is incorrect. Ray RO and ray RL are not opposite rays.
Step-by-step explanation:
I just took the quiz.
Answer:
He is incorrect. Ray RO and ray RL are not opposite rays.
Step-by-step explanation:
The answer above is correct.
solve the following equation for x : 2x -:3y = 6
a ) x = 3/2y + 3
b ) x = 3/2y - 3
c ) x = - 3/2y - 3
d ) x = - 3/2y + 3
PLEASE SOLVE THIS PROBLEM
Answer:
18) Area= 5*5/2=25/2=12.5 unit ^2
19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Step-by-step explanation:
18. A(-3,0)
B(1,-3)
C(4,1)
AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5
AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2
BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5
so AB=BC=5
and AC^2=AB^2+BC^2
so trg ABC is an isosceles right angle triangle (<B=90)
Area= 5*5/2=25/2=12.5 unit ^2
19. A(a,a)
B(-a,-a)
C(-V3a, V3a)
AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2
AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2
BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2
so AB=AC=BC
Area=AB^2V3/4=8a^2*V3/4=2V3a^2
What is the gradient of a line perpendicular to a line with a gradient of 5?
Answer:
-1/5
Step-by-step explanation:
Perpendicular line is the negative inverse of the straight line.
So 5=-1/5
Question 1
Evaluate 10m + 7n/3 +n when m= -3 & n= 3
Answer:
-20
Step-by-step explanation:
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?
Answer: 5418.54 feet
Step-by-step explanation:
Given: Nadia started at 19.26 feet below sea level.
She climbed a total of 5,437.8 feet up from her initial position.
Since we take negative integers to show depth .
Here, 19.26 feet below sea level. means - 19.26 feet respective to sea level
So her altitude at the end of her climb above sea level = 5437.8-19.26 feet =
= 5418.54 feet
Hence, Nadia's altitude at the end of her climb was 5418.54 feet.
Answer:
5,418.54
Step-by-step explanation:
got it right on edge
Card 5
6.2 Not-So-Rigid Transformations
What scale factor is used to go from Figure F to Figure
G? What scale factor is used to go from Figure G to
Figure F?
Scale Factor to go from F to G = 3/4
Scale Factor to go from G to F = 4/3
===============================================
Explanation:
Note the sides labeled 4 and 3 are both opposite the angles that have two tickmarks. Therefore, these two sides correspond to one another.
Because of the similar triangles, the corresponding sides are in proportion. The scale factor is 3/4 meaning the smaller triangle has side lengths 3/4 as large compared to the larger triangle.
Put another way, we have a 25% reduction in the side lengths because 3/4 = 75% and 100% - 75% = 25%
So far, all of this applies when figure F is the preimage and G is the image. If we reverse things, then apply the reciprocal to 3/4 to get 4/3. Now G is the preimage and we go from smaller to larger.
------------
Side notes:
If the scale factor is smaller than 1, but still positive, then the image is smaller than the preimage. We have an image reduction.If the scale factor is larger than 1, then the image is larger than the preimage. We have an image enlargement.The required scale factor for the given transformation is given as 3/4.
Given that,
Two triangles have been shown, is to discuss the transformation and scale factor of the triangle.
The scale factor is defined as the ratio of modified change in length to
Here,
The given figures are similar in shape but not in size,
If the shapes is similar then the ratio of the corresponding sides describes the scale factor between the figures,
So,
Ratio of side = 3 / 4
Thus, the required scale factor for the given transformation is given as 3/4.
Learn more about Scale factors:
https://brainly.com/question/22312172
#SPJ2
Annabelle’s bicycle has a wheel radius of 13 inches. She places a sticker on the wheel so that its minimum height above the ground is 0.5 inches. When she rides her bicycle, the wheel completes 90 revolutions every minute. The sticker begins at its minimum height above the ground. Which equation models the height in inches of the sticker after x minutes?
Answer:
The answer is D on edgen
Step-by-step explanation:
Answer: D
Step-by-step explanation: EDGE 2022 yw ^-^
24 students in a class took an alegebra test. If 18 passed, what precentage passed.
Answer:
75%
Step-by-step explanation:
What percent of 24 is 18?
24x = 18
x = 18/24 = 3/4 = 0.75 = 75% passed
Answer: 75%
Step-by-step explanation:
18/24 = 0.75
0.75 * 100= 75%
12 people fit comfortably in a 5 x 5 foot square.use this value to estimate of a crowd that is 10 feet deep on both sides of the street along a 1 mil section of a parade route
Answer:
48 people
Step-by-step explanation:
It states that 12 people fit into a 5 x 5 ft² area.
Here, we are given the length and breath of the side, both 5 ft. And from that, we can estimate the area of the place.
Area of a square is gotten by multiplying both sides together, and thus
5 * 5 = 25 ft²
We are told 12 people fit into 25 ft². In order to get the number of people that fit a 10 x 10, we first need to calculate the area.
We already have the length and breadth to be 10 ft each, so
Area = 10 * 10 = 100 ft²
Now, we calculate.
If
12 people fit into 25 ft²
x people will fit into 100 ft²
If we cross multiply, we have
1200 = 25x
We then divide both sides by 25
x = 1200 / 25
x = 48
Therefore, 48 people will fit into a 10 x 10 ft area
Do you prefer online or real school?
Answer:
online
Step-by-step explanation:
it easy to cheat lol but I like real more tho
Daily twos:
Independently simplify this expression and be ready to share your answer and
the strategy used: 10 1/2 - 3/4
Answer:
9 3/4
Step-by-step explanation:
Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.
10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4
= 10 -1/4
= 9 3/4
__
Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.
10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)
= 10 3/4 -1
= 9 3/4
_____
We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.