Answer:
m<PFR=62
m<RFT=28
m<MFE=28
m<EFT=152
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
90=x+6+3x-4
90=4x+2
-2 -2
88=4x
/4 /4
x=22
3(22)-4=66-4=62
22+6=28
180-28=152
Maria's kite tail was 3 1/2 feet long. Max's kite tail was 2 1/4 feet long. How much shorts was max's kite tail in inches?
Answer: [tex]\frac{5}{4}\ ft[/tex]
Step-by-step explanation:
Given
Maria kite tail is [tex]3\ \frac{1}{2}\ ft[/tex] long
Max's kite tail is [tex]2\ \frac{1}{4}\ ft[/tex] long
Converting it to a fraction
Maria kite tail
[tex]\Rightarrow \dfrac{3\times2+1}{2}=\dfrac{7}{2}\ ft[/tex]
Max's kite tail
[tex]\Rightarrow \dfrac{2\times4+1}{4}=\dfrac{9}{4}\ ft[/tex]
Difference between lengths
[tex]\Rightarrow \dfrac{7}{2}-\dfrac{9}{4}\\\Rightarrow \dfrac{14-9}{4}=\dfrac{5}{4}\ ft[/tex]
Max's tail is [tex]\frac{5}{4}\ ft[/tex] short than Maria kite tail
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
Learn more about displacement here: https://brainly.com/question/2109763
#SPJ2
Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?
Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.
1. f and g open in the same direction.
2. f and g intersect twice.
3. f and g have the same axis of symmetry.
4. f and g have the same vertex.
5. g is wider than f.
Answer:
Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!
The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?
Answer:
8 percent
Step-by-step explanation:
2.4/30 = 0.08 or 8%
Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?
A 0.21%
B 21%
C 22%
D 27%
Answer:
21.25%
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
80-63 = 17
Divide this by the original amount
17/80 =.2125
Multiply by 100 to change to a percent
21.25%
6 members each swam 1,685 meters during the season; how many total kilometers did the 6 members swim during the season
Answer:
10.110 km
Step-by-step explanation:
1000 meter = 1 kilometre
Since we are to provide the answer in kilometres, we have to convert the meters to kilometres
1685 m = 1685/1000 = 1.685km
Total kilometres swan by the 6 members = 1.685km x 6 = 10.110 km
Method 2
1.685km + 1.685km + 1.685km + 1.685km + 1.685km + 1.685km = 10.110km
20 POINTS! Please help!
Find the value of x. Round to the
nearest tenth.
x = [?]
Answer:
4 hope it helps you better
Division sum:
12 ➗ 2 =
100 ➗ 1 =
Answer:
12÷2=6
100÷1=100
Step-by-step explanation:
Answer: 6 and 1
Answer:
6
100
Step-by-step explanation:
in division:
12÷2=6
100÷1=100
find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees
How to see the other 3 screenshots click the 3 mini squares
Answer:
click the squares its easy and simple
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750
x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?
Answer:
(10,6)
Step-by-step explanation:
1. Rearrange
x-y=4
y=x-4
y-8=-2
y=6
2. Graph
how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above
Urgent!!!
set whether each of the following equations represents a growth or decay
1. f(x)= 3[tex]^{x}[/tex]
2.f(x) = (0.25)[tex]x^{x}[/tex]
3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]
4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]
Answer:
Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.
A general exponential equation can be written as:
f(x) = A*(r)^x
Where A is the initial value, r is the rate of growth, and x is our variable.
If r > 1, the function represents a growth.
if 0 < r < 1, the function represents a decay.
1) f(x) = 3^x
Here we have r = 3
This is clearly larger than 1, then this function represents a growth.
2) f(x) = (0.25)^x
Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.
3) f(x) = (2/3)^x
here we have r = 2/3 = 0.66
This is larger than zero and smaller than 1, then this function represents a decay.
4) f(x) = (3/2)^x
Here we have r = 3/2 = 1.5
This is larger than 1, then this function represents a growth,
Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.
Answer: 2
Step-by-step explanation:
Given
In a litter of 10 Puppies, 4 are black i.e.
[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]
In a litter of 5, there would be
[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]
There are 2 black puppies
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
Can someone help me on this question
Answer:
All real numbers such that 37.75 <or= y <or= 40
Step-by-step explanation:
This means that y is greater than or equal to 37.75 but less than or equal 40 and according to the table, that's true.
If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)
Explanation is in the file
tinyurl.com/wpazsebu
Find the area of the composite figure.
A. 51 m2
B. 81 m2
C. 102 m2
D. 420 m2
Answer:
B. 81 m²
Step-by-step explanation:
6x10 = 60
7x6 = 42
42/2 = 21
60+21 = 81
Answer:
B) 81 meters squared
Step-by-step explanation:
rectangle = 6 * 10 = 60
triangle = .5 * 6 * 7 = 21
60+21 = 81
This scrrenshot is the question and the the right answer for a test
Answer:
3.53
Step-by-step explanation:
please help i suck at math and I am in class
Answer:84.84m^2
Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.
Step-by-step explanation:
This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.
The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus
Answer:
18 or 14
Step-by-step explanation:
also, can u help me with my recent questin
Write the equation of the line that is parallel to y-axis and passing through the point (3,-5)
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:
[tex]x=d[/tex] where d is the x-intercept, or the value of x when the line crosses the x-axis
We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.
[tex]x=3[/tex]
I hope this helps!
6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft
I a) Yes
b) No
Answer:
No
Step-by-step explanation:
the sum of the two shorter sides must be greater than the longer side
(not even if it is equal to, as in this case)
Here are some formulas to see if 3 sides can make a triangle...
[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]
So a=3
b=5 and c=8
3+5=8
So no it can't.
Between which two points can you draw a line with a negative slope? Pls answer quick
Answer:
Between A and C.
Step-by-step explanation:
A negative slope rises to the left (\).
Answer:
a line between a and c
Step-by-step explanation:
if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]
3√x^2
I need to write this as a fractional exponent.
[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]
[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]
I do not know which one you mean but still one of them is still your answer. :)
What is a positive data set on a graph?
Answer:
when the dot's go left to right going upwards
Step-by-step explanation:
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)